diff --git "a/data/dm_maths/full_data_1/1345_11255.jsonl" "b/data/dm_maths/full_data_1/1345_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1345_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let q(u) = u**3 + 2*u**2. Let l(k) = 112*k**3 + 12*k**2 + 31. Let n(h) = -l(h) + 6*q(h). What is the derivative of n(g) wrt g?\nAnswer: -318*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -110 + 104.8. Let k = 2 + -1.3. Let x = k + y. Round x to zero decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 34*w. Let g(x) be the first derivative of -x**6\/360 + 19*x**3\/3 + 1. Let i(s) be the third derivative of g(s). Determine i(u(y)).\nAnswer: -1156*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1.61*-0.540648\nAnswer: 0.87044328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -35*n**3 + 17*n**2 - n + 3. Let f(u) = -33*u**3 + 13*u**2 - 2*u + 2. Determine 4*c(q) - 5*f(q).\nAnswer: 25*q**3 + 3*q**2 + 6*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*r**4*s + 4*r**2*s**2 - 74751*r**2 - 4*s**2 - 724925*s wrt r.\nAnswer: 8*r**3*s + 8*r*s**2 - 149502*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-325)\/(-26) - 15)\/((-21)\/(-18))?\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 4*q**3 - 5*q**2 + 2. Let a(v) be the first derivative of -v**4\/4 + v**3\/3 - v - 125. Calculate -6*a(r) - f(r).\nAnswer: 2*r**3 - r**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 k when three letters picked without replacement from iiikiikiiiiiki.\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - 322?\nAnswer: -321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 + 16*h**2 + 20*h - 5. Let x be ((-442)\/(-14 - -27))\/(0 + -2). Calculate m(x).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6516555 (base 7) to base 12\nAnswer: -323a69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 38370 - 25200. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/17, 176\/7, 3, -3.7, 4?\nAnswer: 176\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5.4 + -6.49. Let p = 19.545438 + -18.4554293. Let y = b + p. What is y rounded to six decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**17*z**(5\/4)\/z*z assuming z is positive.\nAnswer: z**(73\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of 0*b - 16 - 2\/39*b**3 - 1\/26*b**4 + 0*b**2. Solve i(q) = 0 for q.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38826176 is divided by 30.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2264 = -49*u + 57*u. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 - 9*r**2 + 8*r + 3. Let v be d(8). Suppose v*b = -b + 100. What is the units digit of (-116)\/(-10) + 10\/b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.8 and 0.032436?\nAnswer: -0.0583848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 78299*m**2 - 5*m - 4. Let g be z(-1). What is g rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/251651 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -28*l + 220. Let w be d(8). Suppose 5*p - 3*p - 6 = 0. Put p, -2, 5, w in ascending order.\nAnswer: w, -2, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -372663, -745322, -1117991, -1490676, -1863383, -2236118, -2608887?\n\"Answer: -h**3 + h**2 - 372655*h - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2183*o**2 - 87321*o - 27. What is u(-40)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*d - 3*d**2 + 1 + 0*d**2 + 5*d**2 - 19 as l*d**2 + z + h*d and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2643079455?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3214342729?\nAnswer: 13, 293, 843881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71 - 6*b**2 - 22*b**2 + 97*b**3 - 88*b**3 - 215.\nAnswer: 9*b**3 - 28*b**2 - 286","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.8636 - -0.9636. Put j, 0.5, -3, -1\/21, -0.4 in descending order.\nAnswer: 0.5, j, -1\/21, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 16629\/(-3060) + 4\/10. Let h = b + 2\/17. Find the common denominator of h and 1 - -1 - (-770)\/(-147).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 97610 to the nearest integer?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -157, -320, -483, -646, -809?\n\"Answer: -163*r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2557*x**3 - 1251*x**3 - 1307*x**3.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/(k\/((k*k**(3\/2))\/k)*k))\/(k\/(k*k\/(k*(k*k*k**(-5)*k)\/k))*k*k))**(-4\/27) assuming k is positive.\nAnswer: k**(-10\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 14 = 0, 6*q + 2*r = r + 20 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1096, -2, 54 in ascending order.\nAnswer: -1096, -2, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-1 + -22 + 9 + 6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -22*r. Let q(g) = -4*g**2 + 3030*g. Determine l(q(z)).\nAnswer: 88*z**2 - 66660*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -93 (b) -7 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 + -10. Sort -0.5, y, -4.\nAnswer: -4, -0.5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-5\/2)*u)\/u*u**4)**(2\/15)\/((u\/(u\/(u*u**(-2\/3)))*u**5)\/((u*(((u*u**(1\/4)\/u)\/u*u)\/u)\/u)\/u*u)**(-26\/3)) assuming u is positive.\nAnswer: u**(41\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 4*k = 18 - 2, 0 = -5*m - 3*k + 25 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 5*b + 2. Let r be f(2). Suppose 4*p = -r + 36. Suppose -5*x = -4 - p. Solve x*q + 3*q - 10 = 0, -3*t + 5 = -2*q for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 12) to base 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.07*646539\nAnswer: -45257.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 + 7*b + 191. Give m(-11).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 73212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -157 - -251. Suppose w = -9*g + 103. Is g greater than 5\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1272086 divided by 3?\nAnswer: -1272086\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -134, 0, -5 in ascending order.\nAnswer: -134, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -18\/7 (b) -0.1 (c) 2\/9 (d) 1 (e) 3\/4 (f) 265 (g) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 - -30. Let v = p + -12. Is 7 a factor of 162\/12*(v - 0\/1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 4820085 to the power of 1\/2, to the nearest integer?\nAnswer: 2195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(110\/4)\/11.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-54 - 18865\/(-605)) + 25?\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 + 6*y + 7. Let o be l(-6). Suppose -2*u - 2*n + 6 = 0, -3*n = -3*u + o*u - 13. Factor 2*v - 4*v - 2*v**5 + 4*v**4 - u*v**2 + 4*v.\nAnswer: -2*v*(v - 1)**3*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 PM and 9:21 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*n + 16*n + 4 = 0. Does 2 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*t**2 - 12*t**2 + 52*t**2 + 26*t - 26*t.\nAnswer: 21*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 24 + 0*a**3 - 2 - 2*a - a**3 in the form d*a**3 + l*a + c + y*a**2 and give c.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 44354 - 44353.94. Let b be (-5)\/6 + 1\/3. What is the biggest value in b, -3\/2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -618*a**2 + 136804 wrt a?\nAnswer: -1236*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 2. Let k = n - 2. Let d(t) = -t**2 + 3*t - 2. Let z(b) = -b**2 + 4*b - 3. Let c(j) = k*z(j) - 4*d(j). Differentiate c(x) wrt x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2962, -11871, -26730, -47539?\n\"Answer: -2975*j**2 + 16*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 39 + -25. Calculate the remainder when 69 is divided by k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.68047*2226.\nAnswer: 1514.72622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -59 + (-9 - -71) + -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m**2 - 116*m + 958. What is q(48)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add -176 and -1045.\nAnswer: -1221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, -1\/403 in descending order.\nAnswer: 5, -1\/403, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10047 + 10055. What is the highest common divisor of p and 1728?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4372*a = -4092*a + 7000 for a.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 k when three letters picked without replacement from {k: 2, r: 4}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**12)\/s**18 assuming s is positive.\nAnswer: s**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -51481\/1872 - -1\/1872. Let t = 27 + n. What is the nearest to t in 2, -2, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19041 - -39830. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -4693*c**3 - 8*c**2 - 4*c - 2084. Let k(l) = 4692*l**3 + 10*l**2 + 5*l + 2080. Let j(a) = -5*g(a) - 4*k(a). Differentiate j(u) wrt u.\nAnswer: 14091*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -1 + 5 + z + 3. Let s be w(-6). Suppose 3*i + 3 = 5*t + 6*i, -5*t - s = 4*i. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 343647 and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(2*((5*sqrt(76)*4 - (-2*(sqrt(76) - -2*sqrt(76)) - sqrt(76))) + -3))**2 + 2.\nAnswer: -886606 + 5184*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19.072548 minutes to days.\nAnswer: 0.013244825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (8 + -3)) + -4 - (-98 + 89)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3531 + -12766?\nAnswer: -7235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/84171 and 74\/9.\nAnswer: 252513","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22 - 41) + 28 - (14 - 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 4*f + 8*f + f - 10 - 3*f. What is k(4)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 326 - 323 = 5*z, -p = 2*z + 3 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/2527 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6, -1.41, 3814, 0.1, 4?\nAnswer: 3814","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 48*p - 496 - 13616. What is the remainder when p is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1343, -2515, -3391, -3839, -3727, -2923?\nAnswer: -1295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -457729, -457730, -457731?\n\"Answer: -z - 457728","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z - z**5 + z)*(2 + 3 - 1) + 25*z**5 - 43*z**5 + 24*z**5.\nAnswer: 2*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 k when two letters picked without replacement from vbckvnee?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*(-55)\/(-528)*8)\/((-2)\/(-3))?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of -8*g**6\/3 - g**5\/5 + 182*g**4\/3 + 146*g - 11. Find the third derivative of c(n) wrt n.\nAnswer: -1920*n - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(105\/(-10)*6)*(-29)\/7308*-98.\nAnswer: 1\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -203432.7 to the nearest ten thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 97 + -94. Suppose 3*r = 3*p + 114, -z*r - 32 = -2*p - 142. What are the prime factors of r?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2*x - 13. Let v be a(-6). Suppose 0 = 5*c + 46 + 69. Is v at least as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 221055.\nAnswer: 3, 5, 14737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 1981034*k**2. Let j(y) = 7*y. Determine x(j(q)).\nAnswer: 97070666*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1067593 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 248, 96, -52, -196, -336?\nAnswer: -472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 97822009, 97821990, 97821947, 97821868, 97821741, 97821554, 97821295?\nAnswer: 97820952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/7 + 0 + 0. Let n = -1114971 - -1114970. Which is the closest to z? (a) -2\/13 (b) n (c) 0.23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*n + 0 + 4\/3*n**3 + 4\/3*n**2.\nAnswer: 4*n**2*(n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 780715487 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(2\/53))\/h)**(-20)*h**(-1\/8)\/h**(-18) assuming h is positive.\nAnswer: h**(7259\/424)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 6, b: 1, h: 8}. Give prob of picking 1 b and 1 h.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 21 + -34?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of 3*o**5\/20 - 75*o**2\/2 + 11*o - 7. Let p(u) be the first derivative of m(u). Let x(n) = -3*n**2. Determine p(x(s)).\nAnswer: 81*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*(-1)\/(-18)*(28 + -28). Solve -13*t + 20*t + 42 = n for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -30*q**2 + 2*q - 9. Let h be s(2). Let d = -114 - h. Is d <= 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 36, 121, 262, 459, 712, 1021, 1386?\n\"Answer: 28*m**2 + m + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 + 82*t + 1369. What is n(-59)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -7*y**3 + 23*y**2 - 3*y - 4. Let l(k) = 9*k**3 - 45*k**2 + 5*k + 7. What is 4*l(g) + 7*w(g)?\nAnswer: -13*g**3 - 19*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (924\/70)\/(-35*(-11)\/1925).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.77 + -3.13. Let w = x - 0.1. Which is the nearest to w? (a) -2 (b) 3\/5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/9936 and -79\/1022.\nAnswer: 5077296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**33*d**(-16))**(9\/8))**(-2\/67) assuming d is positive.\nAnswer: d**(108\/67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (7 - 21 - -19 - -7) - 67.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*-3*(-6)\/9. Suppose c + c - p = 0. What is the closest to -2\/5 in 0.1, 0.2, c?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 8.3 from 0.0118609.\nAnswer: -8.2881391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 139 - 1253\/9. Sort n, -2\/13, 1 in descending order.\nAnswer: 1, -2\/13, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/4)\/(20625\/440 + -47).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 - 22*z**2 + 373*z - 10102. Calculate x(24).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/42, 0.4, 10\/7 in decreasing order.\nAnswer: 10\/7, 0.4, -1\/42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 1344*s - 3323. What are the prime factors of w(12)?\nAnswer: 5, 13, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1526673 != 1526676?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1432 + 2?\nAnswer: -1430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of -q**6\/120 - q**5\/30 + 13*q**4\/24 - 2*q**3\/3 + 19*q**2. Let y be m(-5). Let t be y\/4 + (-1)\/2*3. Solve t = 2*w - 1 + 3 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 0.01243.\nAnswer: 0.006215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1013 is divided by 146?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -2 (b) -0.8 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 2:04 PM?\nAnswer: 3:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*z + 6*z. Sort z, 2, -1.\nAnswer: -1, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + b + 4, -3*b = -o + 2*o - 18. Let l be o - (8 - 1) - -4. Let f(k) = k + 6. Calculate f(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -35*i*y - 121*y wrt i?\nAnswer: -35*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -7*x + 9. Let q(f) = -6*f + 8. Let m(c) = -6*q(c) + 5*t(c). Let n be m(0). Let p = n + 7. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.62 in 12, 2\/3, -7, 7, -0.5, 6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c - 6*c + 2*c)*(60 + 195 + 198).\nAnswer: -453*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 114 divided by -92341?\nAnswer: -114\/92341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 - 34. Is n bigger than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (104058\/(-205))\/47*(-3)\/9?\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 41*s**2 + 5*s + 4. Suppose -5*m + w - 20 = -w, 0 = -4*m + 3*w - 23. Let j be 1\/6 - ((-15)\/18 - m). Is 8 a factor of q(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - 88?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -0*x + 4*x. Solve -w = x*w + 16 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -46582.69996 - -46581. Let a = -1.7 - z. What is a rounded to six decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 600\/33 + (-6)\/33. Let a be (w\/(-9))\/((-2)\/3). Solve -h = -0*h + a*u + 8, 3*u - 7 = 2*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1211 is divided by 76?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (0 - (1 - 54)) + (12913 - 12916)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132 = -t + 482. Is (25\/(t\/34132))\/(4\/2) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5335*l**3*r**3 - 2*l**3*r - 2*l**3 + 2*l**2*z + 4885*l*r**3*z - l*r - l*z + 10*r*z - 160 wrt r.\nAnswer: 32010*l**3*r + 29310*l*r*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9689 + -9694. Which is the biggest value? (a) 4 (b) 8 (c) 1\/16 (d) 2\/7 (e) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 613 a factor of 3886420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**2\/9 - 120482*k - 722884 = 0. Calculate k.\nAnswer: -542163, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (566*a**2 - 15245564 + 5*a + 15245564)*(-5 - 2 + 5) to c*a**2 + t*a + p and give c.\nAnswer: -1132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -5496451?\nAnswer: 1099290.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvx when three letters picked without replacement from {v: 10, x: 4}.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r - 1. Suppose w = 3*l + 3, -2 = -5*l - 2*w + 4. Suppose -2*c + 0*c - 22 = 3*m, l = -c - 5. Let j be m\/(-6) + 10\/3. Give n(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -74.72 + 18597?\nAnswer: 18522.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + 1 - (-9 - -3). Let x = 10 - z. Suppose v + 56 = x*v. Is 7 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3713 - 831. What is the hundreds digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/4 - (36\/(-231))\/((-40)\/(-140)). Suppose 3*w - 3 = 0, 5*h + 2*w = 5*w - 28. Let r be 0\/(-1)*h\/5. Which is bigger: a or r?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 63239900 and 600?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of -k**5\/30 + k**4\/12 - k**3\/18 - 6. Factor v(i).\nAnswer: -i**2*(i - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57.14137 litres to millilitres.\nAnswer: 57141.37","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((4\/38)\/1)\/(17\/(-119)*343\/196).\nAnswer: -8\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.03 or 622426?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + -3 - (-1 - 8). Let k = 13 - q. Solve -k*c = -9*c - 25 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -46*1\/(-1) + -1. Let d = g + -37. Let c = 3 - 3. Solve 2*j - 4*w - 16 = -c*j, -4*w = d for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 20 = -q, -3*u = -3*q + u - 25. Let l(z) = z. Let n be l(-6). Let b be 15\/36 + n\/9. What is the nearest to b in q, 4\/5, -3?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x + 3 - 102*x**3 - 2 + 101*x**3. Let k(t) = -3*t**3 - t**2 + 5*t - 3. Let u(r) = -k(r) + 4*l(r). Let w = -2 - -2. Give u(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -945*i**3 + 216*i**2 - 216*i + 216. Let m(a) be the first derivative of -11*a**4\/2 + 5*a**3\/3 - 5*a**2\/2 + 5*a - 911. Calculate -5*b(n) + 216*m(n).\nAnswer: -27*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1179?\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1454, -2907, -4360?\n\"Answer: -1453*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (57 - -1)\/2 - 1. Let r be (-785)\/(-4) - (1005\/(-60) - -17). Calculate the highest common factor of r and s.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (7 + (-9 - -6) - 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -298, -484, -598, -640, -610, -508, -334?\n\"Answer: 36*a**2 - 294*a - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5953 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2901247404 to the nearest integer?\nAnswer: 53863","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**5\/3 + 25016*x**4\/3 - 77999564*x**3\/3 - 470025696*x**2 - 2117257254*x - 2824212168 = 0.\nAnswer: -12, -3, 6263","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1139 = 6*f - 1717. List the prime factors of f.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/10 - 2\/(-30). Which is the closest to z? (a) 4 (b) -4\/3 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*t + 5*t - 18*t)*(2 - 1 + 0)*(1 + 0 - 4).\nAnswer: 54*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -9*f + 173. Let a be u(19). What is the second derivative of 19*i**2 + 41*i**2 - 26*i**a - 1 - 12*i + 48*i**2 + 6 wrt i?\nAnswer: 164","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of 0*n**3 + n + 1\/6*n**4 + 0*n**2 - 17. Let h(m) be the first derivative of 5*m**2\/2 + 1. Give h(s(p)).\nAnswer: 10*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8736 in -4, -1\/10, 2\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - 0)*135\/3. Let t = i - 43. Let f(j) = -3*j**2 - 3*j**2 + j**2 + 3*j**t. Let u(a) = 66*a. Calculate u(f(h)).\nAnswer: -132*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 27971989817 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - -12?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.04, -1, 4019, -48?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwhyywhuwwuyw. Give prob of sequence hwy.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-3) - (-3 - (-192)\/(-36)). Solve 8*m = i*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -955.8787 + -10.3013. Let v = h - -975. What is v rounded to 1 decimal place?\nAnswer: 8.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 5*l**3 + 371140*l**2 - 742300*l = 0.\nAnswer: -74230, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31.5478 years to months.\nAnswer: 378.5736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-75)\/10)\/((-3)\/6). Suppose k + 3 = m. What is the remainder when 15 is divided by k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*q + 16*q = -1332. Let g be 28 - (10\/(-35) + q\/28). Let a be (-2)\/2 + (-1 - -6). Solve b = a*y + g, -3*y + 6*y + 3*b + 6 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 - 7*d**2 - 6*d + 4. Let k be o(8). Let f = k + 1. Suppose 0 = 4*l + 5*b - f, 0 = -2*l - 5*b + 2*b + 11. Does 3 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75143 - 199651 = 3*i. Let j = 7053162\/77 + i. Let s = j + 1843\/770. Calculate the common denominator of -21\/20 and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 1)*(h - 3*h - 13*h) + 0 + 0 - h.\nAnswer: -16*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10 + 7036050?\nAnswer: 7036040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a micrometer in nanometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of 0 - 3*k**2 - 1\/24*k**5 + 0*k + 1\/180*k**6 - 1\/2*k**3 + 1\/6*k**4. Let g(o) be the first derivative of v(o). Calculate g(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**(-6\/13)\/l)*l*l*l\/(l\/l**21))\/((l*l*l*(l*l*l**(10\/11))\/l*l*l*l*l)\/(l\/(l*l\/l**(-14)*l*l))) assuming l is positive.\nAnswer: l**(-207\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1472, 1476, 1482, 1490, 1500, 1512?\n\"Answer: c**2 + c + 1470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y + 17. Let f be u(-7). Suppose -3*t = -f*b - 18, 2*t + b = -0 + 3. Solve s + t = 7 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p. Let c(y) = -8*y - 5*y**2 + y**2 + 6 + 0*y**2 + y**2 + y**3. Let q be c(6). Let u(k) = q + 4*k**2 - 66. Calculate u(s(j)).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 + -3 - -18)\/(3\/69). Suppose 2*b + 3*w = 6*b - 1640, 0 = -b - 4*w + h. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wdskhikh. Give prob of picking 1 w and 1 i.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 9 - 13*h + 11 + 23*h. Let c be l(11). Let w(x) = -x**3 + 4*x**2 + 7*x. Let r be w(5). What is the greatest common divisor of c and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1167*30.83.\nAnswer: -35978.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6491590 + 6491703 = -113*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 11\/2 of a tonne?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 213 + -393. Let w be (5\/(-15))\/(3\/j). What is the highest common factor of w and 380?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h + 14 = 44. Suppose h*c - 12 = 6*c. Is 18\/(-4)*c\/9 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-159)\/(-189) - (-2)\/(-7) and (30\/(-12))\/((-2)\/(-12)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -146.3 + 28.3. Let x = -118.3 - q. Which is smaller: 1.2 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 + -4 + 2 + -5. Let t(z) = 2*z**2 + 2*z - 3. Let w(a) = -3*a**2 - 3*a + 4. Let u(h) = -5*t(h) - 4*w(h). List the prime factors of u(j).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25808894 is divided by 105?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13084146 rounded to 3 dps?\nAnswer: 0.131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 127 + -124. Let n(f) = -f**3 + 3*f**2 + 4. Give n(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 221*b = -31*b - 1178 - 334. Let x(r) = r - 5. Let g(y) = 1 + 1 - 2*y + 4. Calculate b*x(a) - 5*g(a).\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*w**2*x**2 + 128*w**2*x + 26665*w**2 - w*x**2 + 2*w*x - 19199*w + 2*x**2 + 4*x + 3 wrt w?\nAnswer: -6*x**2 + 256*x + 53330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*n*w**2 - 19*n*w + n - 308*w**2 - 34295 wrt w?\nAnswer: -6*n*w - 19*n - 616*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 20 = -0*n. Let v be 2\/11 + n\/11. Let q = v - 2. Solve q*l + 12 = 3*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -3*l**4 + 57*l**3 - 48*l**2 - 108*l = 0?\nAnswer: -1, 0, 2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of ((-18894)\/(-603))\/(4\/150)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/((d*d*d**2)\/d*d)*d*d**(1\/2))**(-30)*(d**1\/d)**(-1\/5)\/(d\/(d**2\/d)*d*d**(-1\/6)\/d) assuming d is positive.\nAnswer: d**(271\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 67 + -53. Suppose 4*l = -2*t - l - i, 0 = 2*t - 2*l - 14. Factor -11*y**4 + 7*y**3 - 5*y**4 + 7*y**5 + t*y**3 + y**3 - 2*y**2.\nAnswer: y**2*(y - 1)**2*(7*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-6)*3\/(-11).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/(-11) + (6 - (20 + -4)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112330123001 (base 4) to base 15.\nAnswer: -7dc1c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 8464996123 and -9.\nAnswer: 8464996114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2*v - 3759 - 43462 = 0. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6517241 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**4\/3 - 4*u**3\/3 - u**2\/3 + 4*u\/3.\nAnswer: u*(u - 4)*(u - 1)*(u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of 1055*l**7\/7 + 2443*l**3\/3 - 2417. Find the third derivative of f(q) wrt q.\nAnswer: 126600*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = -4*l - 10, -192*l - 1 = -195*l - 7*a for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -83 divided by -24?\nAnswer: 83\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 9 - 13 - (-2 + -4 + -1) - (-273 - -322)\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 AM and 1:37 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 7*f - 3*f = -899984, 5*i = -5*f + 4500020. Round i to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + 2. Is -2 + (-4)\/(a\/(-223)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 63 and 8715.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from edjazdfedaeejz. Give prob of picking 1 z and 1 j.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 56*x**2 + 1 + 56*x**2 - 2 - 168*x**2 + 46*x**2 to b*x**2 + t + w*x and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27017\/45 + -5290\/9. Sort l, 2, -20 in decreasing order.\nAnswer: l, 2, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 77557921 and 477.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 857 and 2363.\nAnswer: 2025091","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7.798266 centuries?\nAnswer: 779.8266","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 - 9 = -3*p + 4*u, 2*p = 3*u + 28. Suppose 4 + 4 = 2*j. Suppose 2*m - j*z - 6 = 4*m, m + 9 = -4*z. Solve -m*c = -p*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30127 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*(-8)\/(-6)*-60. Suppose 0 = m + 3*i + t, 0 = -m + 2*i - 144 + 44. Let n = m - -22. What is n rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51281369 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1976 and 520.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 69874314 and 39?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 264 and 1979868.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 242200 (base 6) to base 8.\nAnswer: 51370","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c (base 16) to base 5.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2696643928 to the power of 1\/4, to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 41218746 a multiple of 103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1134 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(1584)*-3 - (-1*(sqrt(1584) - (0 + sqrt(1584))))**2 - ((5*(-2*sqrt(132) + sqrt(132)))\/((sqrt(60)*-1 + sqrt(60) - sqrt(60))\/sqrt(5)))**2.\nAnswer: -275 + 72*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v. Suppose -3 + 12 = 3*a. Let q(s) be the second derivative of 0*s**2 + 2*s + 0 + 1\/6*s**4 + 0*s**a. Give q(t(i)).\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from yjjjjjjjyjyyjyyyyy?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 - 5*o**2 + 2*o + 2. Let g = -1 - -29. Let l be 4 - 8\/g - (-6)\/21. Give w(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v*(v\/(v\/v**(13\/2)))\/v*v*v*v*v)\/(v**(-2\/37)\/v))\/(v**(-3\/32)*v)**(-24\/13) assuming v is positive.\nAnswer: v**(29297\/1924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.067598 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/19045 and 105\/1127464?\nAnswer: 5637320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 113 - 113. Suppose d = -4*i + 5 + 195. Suppose -2*l - 5*r + 5 = 0, 3*l + 3*r - 17 = 4. Calculate the greatest common factor of i and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-20)\/6*1584\/(-5). Suppose 0 = -3*c + 4*c + 2, 4*r - 2*c - y = 0. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1148)\/(-22) - (-4)\/(-22). Suppose a - 19 - m = 0. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/63*6)\/(1*(-8)\/84).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 3*x**3 - 3*x**2 + 3*x - 1. Let g be 3 + 2\/(-3 - -1). Let a(t) = 3*t**3 - 2*t**2 + 2*t - 1. Determine g*n(k) - 3*a(k).\nAnswer: -3*k**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 354023?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2201 (base 3) in base 4?\nAnswer: -1021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 459086 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-319)\/(-4) + (-1)\/(-4). Suppose 0 = -3840*t + 3805*t + 1120. What is the greatest common factor of i and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -132102100 - 1?\nAnswer: -132102101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6393 and 273?\nAnswer: 581763","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1294103665?\nAnswer: 5, 17, 15224749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 255690166?\nAnswer: 2, 17, 2131, 3529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6683058 to the power of 1\/4, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -0*n + 8. Suppose m - n*m - 45 = 0. Suppose 0 = 3*o - 4*s + 3*s - 19, -5*s = -3*o + 35. Sort m, -2, o in ascending order.\nAnswer: m, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.21919 rounded to two decimal places?\nAnswer: 6.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/6)\/(60\/(-360)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of -3*w**2\/2 - 2*w - 5. Determine r(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (585\/(-702)*12\/(-1820))\/((-1)\/4).\nAnswer: -2\/91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -191\/452166 and -111\/11790350.\nAnswer: 1096502550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10987503 to the power of 1\/2, to the nearest integer?\nAnswer: 3315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 276509.\nAnswer: 67, 4127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 110720330 divided by -1581719.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8923716*a**2*h + 736681*h wrt a.\nAnswer: -17847432*a*h","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38842?\nAnswer: 2, 19421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 3 + 0 = 0. Let l(z) = -6*z - 1 + v*z + 4*z. Let t(m) = -16*m + 19. Let p(k) = -5*k + 6. Let u(g) = -7*p(g) + 2*t(g). Give 4*l(w) - u(w).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53665146 divided by 2214.\nAnswer: -24239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 + 5*x**2 + 3*x - 2. Let n be y(-4). Let b = 0 + n. Suppose -b = -0*v - v. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s**2 + 10*s - 31. Determine a(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 524 and 2.\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 - 6*d**2 - 3*d - 9. Let a(q) = -3*q**2 - q - 4. Let n(z) = -5*a(z) + 3*f(z). Is n(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/37? (a) -2\/67 (b) 3\/14 (c) -128\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3714 is divided by 108?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/11)\/q*q)\/q**3*(q\/(((q\/q**4)\/q)\/q))\/(q*q*q**(-3)*q) assuming q is positive.\nAnswer: q**(35\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18434?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14387 - 6484. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5138666 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let c = -6.750413 + 6.7194. Let s = -0.031 - c. Round s to six dps.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 29350\/7 or 2892?\nAnswer: 2892","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -352 - -352. Let i(g) be the third derivative of -g**4\/24 - g**2. Give i(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2223111 - -41?\nAnswer: -2223020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 - 16*s**2 - 2*s + 62. Determine v(16).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, y: 4, s: 3}. What is prob of sequence tyt?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4160687?\nAnswer: 37, 139, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -198 + 56?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 223\/(-28) + (9933\/(-2156))\/129?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89251 + 150749 = 3*b. What is b rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*a + 43*a + 1880 = 0. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 38.2 + -55. Let o = m - -18.8. Which is the second smallest value? (a) 0.02 (b) 4 (c) -0.3 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10023*v = 433763 - 11668 - 918968 - 856232 for v.\nAnswer: 135","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003146155911 rounded to five dps?\nAnswer: 0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + 66 - -6*(-16)\/(-12). Let f = 93 + -160. Let a = b + f. Calculate the highest common factor of 6 and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - 26) + 4 - -2?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -866242 divided by -7\nAnswer: 866242\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**0\/w**(-2\/3)*((w\/(w**1\/w))\/w*w)**(-2\/91))**28 assuming w is positive.\nAnswer: w**(704\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (-14 + (-3 - -9)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -6 + 1, 0 = 4*b + 5*x + 13. Sort b, 2, -1 in decreasing order.\nAnswer: b, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 4*o = -10, -2*p + 4*o = 2*o - 14. Suppose 2*w = 5*w - d, 5*w + d + 8 = 0. Is p <= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 4*v + 21 + 89 = 0, -42*l = -47*l - 26*v + 718 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 529 divide 1339361691?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 2*h - h)*(-1 + 2*h**2 + 1) - h**3 + 4*h**3 - 2*h**3 - 83*h + 83*h - h**3.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*m = -98*m. Solve m = -10*p + 7*p - 15 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 137236, 274393, 411554, 548719, 685888?\nAnswer: 823061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - 6. Let t be g\/(-10) + (-8)\/20. Suppose n - t = 5*i + 14, -3*n + 61 = i. Calculate the remainder when n is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 8 = 0, -6 = 2*s - 4*s - t. Let l be (4 - 4)\/(1 + s). Suppose 3*h + 26 = 5*w, 2*w + 4*h = -l*w. Calculate the remainder when 6 is divided by w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - v - 52 = 33, 0 = -4*w + 2*v + 114. Suppose 3*a - w = -13. Solve 30 + 0 = 2*p - 4*k, -3*p - 10 = a*k for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -15830, -63311, -142432, -253181, -395546, -569515, -775076?\n\"Answer: 2*r**3 - 15832*r**2 + r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -53768391*n**4 - 20632729*n wrt n.\nAnswer: -645220692*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 4.9. Let x = k + -0.1. Let g = -160\/609 + -2\/87. Is g bigger than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21.3 - -21. Let o = 0.02 - -0.38. Let f = -3.9706 + -0.0294. Which is the second smallest value? (a) f (b) r (c) -0.2 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/8*(-5 + (-153)\/(-30)). Which is the second biggest value? (a) j (b) -5 (c) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -16 and 748791?\nAnswer: -11980656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (35 + -77 + 82)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -245 divided by 21\nAnswer: -35\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4\/15 - -13\/105. Let k = 2\/34621 + 25307939\/207726. Let j = k - 122. Which is the second smallest value? (a) -4 (b) g (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x**3 + 10*x + 3*x**3 - 7*x + 28*x + 0*x**3 + 5 + 6*x.\nAnswer: 3*x**3 + 37*x + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*p - 5*n, 2*p = 4*p + 3*n - 4. Suppose 0 = -3*a + 4*a - p. Calculate the smallest common multiple of a and 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 371 + -245. What is the greatest common factor of 18 and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22 + 11. Calculate the greatest common divisor of y and 319.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004574 to 4 dps.\nAnswer: -0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -22. Let r = -64 - -37. Let j = y - r. Calculate the greatest common divisor of 11 and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 6) to base 16\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 PM and 5:54 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 421, 0, -1, 117, -3 in decreasing order.\nAnswer: 421, 117, 3, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**8\/(h\/h**(-1\/8)))**(-20)\/((h*h**(-3\/5)\/h)\/(h**(1\/6)\/h)*(((h**(6\/7)*h)\/h)\/h)\/h**(1\/4)) assuming h is positive.\nAnswer: h**(-57683\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - 1 - (-22 - -17) - -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 3*s + 18 = 0, 6*s + 16 = -2*m + s. Suppose -4*d = -0*d + 8. Let g = -2 - d. Solve 2*b - 12 = 5*w - m*b, -4*w + b - 14 = g for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/4)\/(4\/(-16))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -27*p + 4 + 1110*p**2 - 1 + 2*p**3 - 1107*p**2. Let f(c) = -4*c**3 - 5*c**2 + 54*c - 5. Calculate -4*f(m) - 7*v(m).\nAnswer: 2*m**3 - m**2 - 27*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-159*h + 81*h + 90*h)*(0 - 1 + 13).\nAnswer: 144*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {g: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m + 20 = 4*u, 14*u - 10*u + 2 = 5*m for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -131 (base 14) in base 9?\nAnswer: -285","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 126 divide 88241345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 2*o - 4*i + 36, 0 = 3*o - i - 21. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*y**2 + 2*y**2 + 0*y**2 - y**2 + 1 - 1 + (-6 + 0 + 4)*(3*y**2 - 2*y**2 + y**2) - 5*y + 5*y - 1145*y**2 - 906*y**2 to b + g*y + d*y**2 and give d.\nAnswer: -2058","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-96)\/(-30))\/(2\/10). Let w = n - 8. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 103747913*w**2 + 132030985?\nAnswer: 207495826*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33622\/9 + 487331\/126. Let l = y + -265\/2. Let h = 233 + -234. Which is bigger: l or h?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3013\/(-46) - (1\/2 - 1). Let y = o + 85. Does 8 divide 1*y*(138\/30 + -4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from uujpruiujiuujuruujr?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27629920 is divided by 262?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 PM and 7:34 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-344070)\/9)\/((-2)\/(-3)). Let d = -757345 - i. What is d rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/17 (b) 1214 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 - 3*m**2 - m + 6. Let a be c(5). Suppose -2*f - 3*q + a = 0, f + 2*q - 27 = q. Suppose -2 = 4*y - f. List the prime factors of y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1045 - -1953. Let u = m + -581. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*d + 501221 = -697254. What is the hundreds digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3 and 10192?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 48 (c) 1\/7627\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(1 - 35\/28).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aav when three letters picked without replacement from vvfffvavazpzaavvpz.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 968882223?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 706622359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.15 + -0.55. Which is the second smallest value? (a) -3 (b) -0.1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 772538 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29843.091 months to years.\nAnswer: 2486.92425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 93*f**3 + f**2. Let l(x) = -x**2 - 18*x + 25. Calculate the smallest common multiple of l(-19) and h(1).\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7506 or -7589?\nAnswer: -7506","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 48 = 14*m. Put 1, -5, m, -19 in ascending order.\nAnswer: -19, -5, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 9*t = 15. Suppose 0 = t*o - 47 - 7. What is the remainder when 70 is divided by o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 29, 2 in increasing order.\nAnswer: -4, 2, 3, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of -w**4\/6 + w**2\/2 - 31. Let h(i) be the second derivative of k(i). Let q(g) = 2 + 24*g**2 - 2 - 22*g**2. Give h(q(r)).\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-13) - 77\/((-185185)\/1332). Let o be (4\/5)\/((-6)\/10). Put o, g, 5 in descending order.\nAnswer: 5, g, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 2, 54, -676.\nAnswer: -676, -17, 2, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-14\/11)*k**(1\/15)*k*k\/k**15*((k*k**(22\/3)\/k)\/k)\/k assuming k is positive.\nAnswer: k**(-488\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/10 (b) 5 (c) -41 (d) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 + l**2 + 1399. Is i(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((-2 + sqrt(28))**2 - (sqrt(343) + 1 - sqrt(343) - sqrt(343))).\nAnswer: -sqrt(7) + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*y**2 - 3*y**2 - 9*y**2 to h + f*y**2 + n*y and give f.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 0.049\nAnswer: -0.049","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 21463*s - 85883*s - 1 + 21470*s + 21469*s + 21465*s.\nAnswer: -16*s - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 93160.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 3*y**3 - 7*y**2 + 3*y. Let v(g) = 7*g**3 - 14*g**2 + 5*g. Let b(t) = -5*d(t) + 2*v(t). What is b(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.1 - 4.1. Let z = t + 19. Is -2 != z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*a**3*n**2 - 190*a**3*n - 22*a**3 + 130*a**2*n**2 - 50*a*n - 38*n**2 wrt a?\nAnswer: -54*n**2 - 1140*n - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 68019\/1703 or 39?\nAnswer: 68019\/1703","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 246\/15 - 4\/10. Let m(z) = 15*z + 6. Let o be m(6). Calculate the greatest common divisor of o and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6 + (-6)\/12*6. Suppose 29 = 5*r + 4. Let z(h) = -4 + r - v*h + 2*h + 1. Give z(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2535691 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of -7*i**5\/10 + i**3\/6 - 4*i. Determine t(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 AM and 2:15 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7274267 and 668822.\nAnswer: 3311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-2*sqrt(11)*3.\nAnswer: -30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*i - 50*i + 162 = 0 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 7 - (228 - 217)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22.7 + 23. Let k = 448 - 445. Let h = -1 - -0.1. Sort 1, h, k, o in decreasing order.\nAnswer: k, 1, o, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 - u - 1. Let n(j) = 384*j**2 - 256*j + 20. Let r(d) = -16*m(d) + n(d). Determine z, given that r(z) = 0.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 157, 342, 585, 916, 1365, 1962, 2737, 3720?\n\"Answer: 5*u**3 - u**2 + 153*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/3)\/(2\/21). Let t = m - 4. Suppose -2*g - 4 = -t*g. Solve 0 = v + v + 3*f - 9, -g = -4*f for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 2\/7, -11, 1 in increasing order.\nAnswer: -11, 2\/7, 1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 9 + 18 = 0. Let x be (-11)\/(44\/(-24)) - r. Solve 0 = -2*d - x + 3 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1428 - -750. Suppose -q = 2*q - 6. What is the units digit of ((-1)\/q)\/(((-3)\/g)\/(-1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -28, -2, 0 in ascending order.\nAnswer: -28, -4, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6200 + -6199. What is the closest to 0 in -0.2, d, 3\/119, 3?\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11478213 and 70608.\nAnswer: 4413","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-1\/13)\/l*l)\/l)\/l**(3\/16))\/(l**(-2\/3))**44 assuming l is positive.\nAnswer: l**(17515\/624)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004499 rounded to six dps?\nAnswer: -0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1623, 6493, 14611, 25977, 40591?\n\"Answer: 1624*b**2 - 2*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 568 + -563. Suppose -13950 + 2203 = -2*o - r, 5*r - 29370 = -f*o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - 3. Let h = -0.17 + 1.17. Let n = h + a. Put n, 3, 5 in descending order.\nAnswer: 5, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1740? (a) 3\/4 (b) 78 (c) -3 (d) 44\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/13? (a) -0.9 (b) -5 (c) -46\/7 (d) 6 (e) 2 (f) -1\/6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162392*f + 162393*f = -2*i + 6, -5*f + 16 = 3*i for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 AM and 11:46 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12421?\nAnswer: 12421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 14 = -3*n. Let h(r) = 4*r - 15. Let g be h(n). Calculate the highest common divisor of g and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13921, -13916, -13907, -13894?\nAnswer: -13877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -151 and -1867015.\nAnswer: -1867166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 + 11*j - 3. Give b(-11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 4*u - 24 = 0, 173 = l + 2*u + 165 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 47 - 42. Let g be 33779\/(-527)*2\/2. Let f = -64 - g. Which is the third smallest value? (a) -3 (b) f (c) p (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2672.4118 rounded to the nearest ten?\nAnswer: -2670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -391870, -3134968, -10580532, -25079794, -48983986, -84644340, -134412088, -200638462?\nAnswer: -285674694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 5*q**2 - 4. Let k(d) = -18*d**2 + 5*d + 16. Let b(c) = -k(c) - 4*p(c). Let a(o) = 9*o**2. Determine a(b(t)).\nAnswer: 36*t**4 + 180*t**3 + 225*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 w, 1 c, and 1 g when four letters picked without replacement from {a: 1, w: 1, h: 1, c: 1, g: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -10001010100110011010 (base 2) in base 6?\nAnswer: -20100134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10779 is divided by 361?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 0)*(12*n**3 + 5 - 5) + (-3*n + n + 3*n + (-13*n - 7 + 7)*(-4 + 4 - 1))*(-2*n + 2*n - 6*n**2) - n**3 - 2 + 2.\nAnswer: -121*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of 5*j**2 - 16*j - 27. Let l be q(2). Suppose -x + 3*m - 25 = -2*m, 0 = l*x + 5*m + 175. Put 5, -1, -3, x in descending order.\nAnswer: 5, -1, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -235?\nAnswer: -23.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 618*a + 217541. What is g(-352)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rfm when three letters picked without replacement from {f: 1, h: 4, m: 3, r: 2, a: 4}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -12*c. Let u(g) = 2085*g**2 + 2*g - 333. What is r(u(k))?\nAnswer: -25020*k**2 - 24*k + 3996","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -105.863 less than 113261162?\nAnswer: 113261267.863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -27113 - -2?\nAnswer: -27111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -2 + (197 - 182).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y**3 + 23*y**2 + 23*y + 31. Calculate v(13).\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(1\/8)\/i*(i*i*i\/(i*(i**(-3)\/i)\/i*i)*i*i*i)\/i*i*i**(1\/2)*i**(-5)\/i*((i**(1\/3))**(-33))**4 assuming i is positive.\nAnswer: i**(-331\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 2*i - 24, -g + 16 = 3*i + g. Suppose j - 8 = -i*a, -3*a + 5*j = 8 + 6. Factor -3*q**5 + 3*q**5 - 2*q**5 + a*q**4.\nAnswer: -2*q**4*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert cd (base 15) to base 7.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 372, 400, 464, 582, 772, 1052?\n\"Answer: 3*w**3 + 7*w + 362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -4, 2.918, 4, 1, 2\/227?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19 (base 10) to base 3.\nAnswer: -201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -15320 take away 85630837?\nAnswer: -85646157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 44916285, 89832572, 134748859, 179665146, 224581433, 269497720?\n\"Answer: 44916287*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of 2*r + 3\/2*r**2 - 4 - 2\/3*r**3 - 1\/4*r**4. Let g be f(-2). Sort 3, -9, g in ascending order.\nAnswer: -9, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/14 + (-34)\/(-28). Let t be (-2)\/(-15) - 5\/15. What is the closest to b in t, -2\/7, -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.04 + 3.04. Let f = 6 - n. Let p = 4.8 - f. Round p to 0 decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**(4\/15))\/(c*(c\/(c*c*c\/c**(1\/15)*c))\/c))**(-1\/53))**(-14) assuming c is positive.\nAnswer: c**(294\/265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 2002 = 3*f - 1901, 2*u - f = -47 for u.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2793310 is divided by 1098?\nAnswer: 1096","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3753858341 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 209692.\nAnswer: 2, 7, 7489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 14*z**2. Let g(p) = -p - 5. Let q be g(-6). Let w be h(q). Let l be (-12)\/w*(-1)\/3. Which is the biggest value? (a) 0.2 (b) l (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 42.97 - 43.47. Which is the nearest to -0.1? (a) -4 (b) l (c) 4.6 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lc when two letters picked without replacement from ccclcccclccl?\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 + 3*p - 3. Let o be y(-4). Let f = 13 + -16. Let s be (19 + -11)*1\/(-6)*f. What is the third smallest value in o, -3\/4, s, 0.4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -11*l - 45. Suppose -8*a = -1 + 41. Let q be f(a). Let 23*j**5 - 12*j**5 + 4*j**4 + 4*j**3 - q*j**5 = 0. What is j?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00593 to 4 dps.\nAnswer: -0.0059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5.726392 centuries?\nAnswer: 6871.6704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*4*3*1*sqrt(84))\/((sqrt(432) - 6*(sqrt(432) + -1*sqrt(432))) + sqrt(432) + sqrt(432)*-1*-2).\nAnswer: 5*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -187513*k - 187513*k + 375026*k - k**3.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1436834371?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r - 11. Let w(b) = b - 12. Let u(o) = 4*a(o) - 5*w(o). Calculate u(13).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 105382*w - 97207. Let b(k) = -9579*k + 8837. Let x(n) = -23*b(n) - 2*u(n). What is the first derivative of x(m) wrt m?\nAnswer: 9553","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 45542130?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -167, -845, -1979, -3569, -5615, -8117, -11075?\n\"Answer: -228*l**2 + 6*l + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 2*m + 867. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 380925*b**3 - 82793*b wrt b?\nAnswer: 2285550*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - -9. Let s be (-3 - 5) + 4 + -1 + 44. Calculate the greatest common factor of s and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k**(-1\/5)\/k*k)\/k**(2\/7))**(1\/3))**(-10\/9))**(-1\/3) assuming k is positive.\nAnswer: k**(-34\/567)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -217.5 + 84. Let z = b - -133. Let p(m) = -m**3 - 8*m**2 - m - 11. Let v be p(-8). What is the nearest to 2\/3 in 1\/4, z, v?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (-9 - -19)) + -1 + 31 + -8\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f**2 - 3 + 3. Let i(v) = 25*v**2 - 6. Let h(t) = 225*t**2 - 55. Let p(d) = 6*h(d) - 55*i(d). Calculate p(x(u)).\nAnswer: -100*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 170689035?\nAnswer: 3, 5, 11, 1034479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 587278, 587276, 587274, 587272, 587270?\n\"Answer: -2*h + 587280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -5307\/1126?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 0 + 7*i**2 + 7*i**2 in the form r*i + a + w*i**2 and give w.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 40524 < 41304?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44115 - 14833 - 14648 - 2*h - 14634 - h.\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (15\/2)\/(2\/4). Suppose -r - 6*j = -9*j - 2, 2*r + 5*j = 15. Let v be ((-6)\/r)\/((-22)\/275). What is the highest common factor of h and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 5*m - 0*m - 15, -3*m = -9. Let p(y) = 0*y**2 - 2 - y**2 + 4 + o*y**2 - y. What is the remainder when 94 is divided by p(-2)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02597477 to 3 decimal places.\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -2*j - 2. Let q be -7 + 0 - -7 - (-206)\/j. Which is bigger: 102 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*c**3 + 4*c**3 - 2*c**3)*(0*c + 28*c + 10*c) in the form o*c + b + k*c**3 + n*c**4 + t*c**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 11 = j, 4*g - 17 - 9 = -j. What is the remainder when 16 is divided by j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -396, -2519, -8266, -19449, -37880?\n\"Answer: -302*n**3 - 9*n - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1909 + 34253\/18. Find the common denominator of x and 14\/(-63) + (-334)\/36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 90, 357, 798, 1413, 2202, 3165?\nAnswer: 4302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29 and -29\/33180.\nAnswer: 33180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*d**3 - d**4 + 2 - 4*d**3 + 5*d**3 - d**2 + 3*d**2 in the form a*d**3 + o + z*d**2 + n*d**4 + c*d and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0569572755 rounded to 3 decimal places?\nAnswer: 0.057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-5))\/((3278\/(-1788))\/(44\/(-6)))\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of 0*k**6 + 0*k**5 - 11\/3*k**3 + 0*k**4 - k - 151 + 118\/7*k**7 + 0*k**2. Find the third derivative of v(n) wrt n.\nAnswer: 14160*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 - 2*u - 5. Calculate x(6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + -10 + (7 + -12 + 3 - -10).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -3*n + 54. Is 7 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 500 - 80. Suppose -11*i + f = -7*i. Calculate the greatest common divisor of i and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*i = -50 + 170. Let k(q) = -q**2 - 22*q + 204. Let w be k(-29). What is the smallest value in 1\/4, i, w, 4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -645 (b) 5 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (72\/(-15))\/(2\/10). Let n be (u\/10)\/(51\/(-340)). Let x(w) = -w**2 + 15*w + 18. Let d be x(n). Solve -d*i = -3*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 4*n + 1076, -3*r - 681*n = -680*n - 1579. What is the greatest common divisor of 66 and r?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50662, 50661, 50660, 50659, 50658, 50657?\nAnswer: 50656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3262 is divided by 133?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or 23112321?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffiffzffhffzziz. What is prob of picking 2 i, 1 z, and 1 f?\nAnswer: 32\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2b (base 12) in base 16?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of s**6\/15 + s**5\/2 + 107*s**4\/6 - 57*s - 1. Find the third derivative of g(d) wrt d.\nAnswer: 48*d + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 786117*v**3 - 2862243*v**2.\nAnswer: 4716702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2050 - -3094. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**3 - c**3 + 2*c**3)*(43*c + 21*c - 11*c).\nAnswer: -53*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of 10*z**7\/7 + z**3\/3 - 3. Find the third derivative of f(g) wrt g.\nAnswer: 1200*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8.4 and -0.7071?\nAnswer: 5.93964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -34\/9 and -107\/60?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 11\/(-10) - 4\/10. Let q be 3 + -48 + 2 - 2. Let f be 5\/2*(-3)\/q. What is the closest to 0 in l, f, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -62 + 157. Does 30 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2635*p + 234633. What is y(-89)?\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 382373.974 rounded to the nearest 100?\nAnswer: 382400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -44e - 5?\nAnswer: -454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-25)*(-125)\/50.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -12*q**3 - q**2 + 1. Calculate the remainder when 35 is divided by r(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(475) + (sqrt(475)*2 - sqrt(475)) - sqrt(19) - sqrt(209)\/(sqrt(11) + sqrt(11)*2)) + (sqrt(19)*2 + 3)*4)**2.\nAnswer: -97592\/3 - 2400*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -633114 by 2.\nAnswer: -316557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 340, 656, 1184, 1924, 2876?\nAnswer: 4040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1313531?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + -10012012?\nAnswer: -10012101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*u - 3*u - 3*u + (0*u + 2*u + 0*u)*(1 + 2 - 1) - 3*u + 7*u - 2*u + (12*u - u - 4*u)*(-1 - 1 + 0) in the form a*u + l and give a.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 AM and 5:59 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 2*c + 6 = 0, -15 = -4*p - c + 2*c. Suppose -3*g + 97 = -4*o - o, p*g - 136 = 5*o. What is the remainder when g is divided by 15\/6*((-10)\/2 + 9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 AM and 7:21 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192*p = 141*p + 408 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9 - 25b548?\nAnswer: -25b552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38631 is divided by 7639.\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1094 - 478. What is the smallest common multiple of 1120 and y?\nAnswer: 12320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 4*j - j + 32, -4*z + j = -24. Suppose -z*s + s - 4 = 0. What is the smallest value in 2, s, 0.1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 676097041?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qhgyqgs. What is prob of sequence ys?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -25*o**2 + 3*o + 7. Let h(s) = -13*s**2 + 2*s + 4. Calculate 4*b(i) - 7*h(i).\nAnswer: -9*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l - 6. Let c be w(-4). Factor 5*g**3 - g**3 - g**2 + g + 6*g**c - 3*g - 3*g**4.\nAnswer: -g*(g - 2)*(g + 1)*(3*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 152\/95*(-5)\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (31 + 7)*2\/4. Suppose -5*s = 2*y + b + 9, 2*y + 16 = -3*s. Is s >= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 152 + -141. Let h = 12 - y. Let l(v) = -6*v**3 + 2*v + 2. Let s(u) = -u - 1. Determine h*l(g) + 2*s(g).\nAnswer: -6*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6794939 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 49401\/206240 + 1\/19335. Which is smaller: w or 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.153972547 - 8003579.\nAnswer: -8003578.846027453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 417500549 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 204092036 is divided by 68030672?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 4642.302 months?\nAnswer: 0.3868585","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 79623556 to the power of 1\/3, to the nearest integer?\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 + 17*y**2 + 16*y + 17. Let t = 4961 + -4977. What is p(t)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -39373\/48351156 - -2\/36741. Let g = 19415\/5264 + i. Find the common denominator of -45\/14 and g.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 107610 by -6330.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*l + 1. Let f be 2 - (-3 + 2 - l). Differentiate f - 3*c**2 - 3 + c**2 with respect to c.\nAnswer: -4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x - 2. What is the units digit of n(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1138)\/996 + (-518)\/(-444).\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 50 + 74. Let i = 66 + o. Calculate the highest common factor of i and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - (8 + (-6 - -17)) - -22.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from spisggspgggppgspsgm.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8182 is divided by 174.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + u = 24, 5*l + 0*u + 29 = -2*u. Let b(t) = t**3 + 8*t**2 + 7*t + 9. Let j be b(l). Solve 2*m + m = j for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-28)\/(-6))\/((-6)\/(-9)). Suppose 2*k + 1 = p. Solve u - 4*n = -0*n + 17, -2*u + 9 = -k*n for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-160 + 199 + 19*w - 78)*(-2 + 2 + w).\nAnswer: 19*w**2 - 39*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 2*n**5\/13 - 124*n**4\/13 + 1106*n**3\/13 - 3512*n**2\/13 + 4192*n\/13 - 128 = 0.\nAnswer: 1, 4, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4 - -3)\/((-2)\/5)*2. Which is the closest to 0? (a) 0.2 (b) 6 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 22*g**2\/3 + 11362*g\/3 + 16480\/3 = 0?\nAnswer: -515, -16\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 5*j + 9 = 0, 9*j + 69 - 60 = 0 for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -609 = -5*c + 81. Suppose 0 = -k - 2*k + c. Is 22 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 406 = 7*x - 217. What are the prime factors of x?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of a**8\/1680 + a**7\/350 + a**6\/600 - a**5\/100 - a**4\/60 + 2003*a**2. Let x(b) = 0. What is b?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 673 = j + 2*j, j = -2*y + 235. Let t = -210 + j. Calculate the remainder when 167 is divided by t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.246 + -0.2447. Round a to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 112 + 30330?\nAnswer: 31102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.26? (a) -4 (b) 0 (c) -3\/5 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -74 - (-17 + 28 - 56)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/6*18\/(-4). List the prime factors of (-2)\/p + 38\/3.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -31765*b + 31604*b - 1127 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 12 - 3 - 9 - g**3 - 4 + 2*g + 7*g**2. What is m(7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -62, -6, -4, 4 in increasing order.\nAnswer: -62, -6, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6480 and 405.\nAnswer: 6480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 - 29*t**2 - 18*t + 45. What is v(-2)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -8. Let w = 2 + r. Solve 0 = 3*n - n - w for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -43 + 61. Calculate the least common multiple of x and 30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 + 67*f**2 - 764*f + 297. Let p be b(14). Let k(u) = 9*u + 49. Let w(r) = 5*r + 25. Let o(z) = -4*k(z) + 7*w(z). Give o(p).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6270390.\nAnswer: 2, 3, 5, 7, 37, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(19)*-1 + (sqrt(475) - (sqrt(475) - sqrt(475)*3) - sqrt(475)) + 4 + (sqrt(19) + (-2 + -1 + sqrt(19))**2)*1.\nAnswer: 4*sqrt(19) + 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 10 - 308\/35?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/15)\/((-4)\/80). Suppose -18 = 2*j + 4*b - 0*b, -2*b = 2*j + u. Let x be (j*-1)\/(2\/(-6)). Solve x*p = 2*m + 7*p + 14, 15 = -5*p for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -930*i**2 + 4 + 0 + 2*i - 8 + 0.\nAnswer: -930*i**2 + 2*i - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15.07 - -0.30211.\nAnswer: 15.37211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 855 + -831. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(15) - sqrt(90)\/sqrt(6))\/sqrt(5)*-1)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 243 and 81?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40825095 divided by -13608365.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1\/2*(-3931 - -3863)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -2*v + 2*g + 4, -5*v = 4*g - 10. Solve y = -1 + v for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7)*3)**2*-3 + (-3*sqrt(56)\/sqrt(8))**2 + (sqrt(672)*2)\/(sqrt(60)\/(sqrt(10)*-2)).\nAnswer: -126 - 16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.032 times -23\nAnswer: -0.736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3400649 - 4*u**2 + 3400649.\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2992 divided by -1496.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + -2. Let k be 4 + 8\/x + 14. Let s be (-4)\/k - 30\/42. Is -1\/7 equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1204\/21070*(-952)\/16.\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.043 + 29.043. Let k = 57 - r. Let p = k + -28.0000077. What is p rounded to six decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 PM and 7:05 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1.375999 decades?\nAnswer: 13.75999","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -261*j**5 - 9*j - 6.\nAnswer: -5220*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -567 = -8*h + 97. Let t = h - 79. Solve w - 6*m + 2*m - t = 0, -3*m - 8 = -2*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2422781?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 287 - 90 = -12*c + 113 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -304 - -315. Calculate the remainder when 152 is divided by k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2738 = -6124*z + 486534 for z.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 4*o - 8. Is f(6) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 + -7 + 12 + -3. Calculate the greatest common divisor of r and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 0 + (1073 - 1111)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 35 = 5*o, 3*o = 2*w - 6*w + 23 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4809 divided by 64321\nAnswer: 4809\/64321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9066 divided by 42.\nAnswer: 1511\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 654149209 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: Let c(z) = -178*z + 7741. Calculate c(44).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 + 5*p - 57. Suppose 20 = -5*n, -2 = -r - 5*n - 17. What is b(r)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n be (((-13)\/((-572)\/330))\/(-1))\/(2\/(-4)). Suppose -4*i + 22 = 2. Solve 4*r - i - n = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67404 a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/11 (b) -341972 (c) -18.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, s: 2, j: 1, r: 2, o: 1, q: 1}. Give prob of picking 1 e, 1 j, 1 r, and 1 o.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -170235*c**2*s**3 - c**2*s + 2*c**2 + 255*c*s + 83*c + 245*s**4 + 11*s wrt s.\nAnswer: -1021410*c**2*s + 2940*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 + 11 = 3*r - 3*f, 5*f = r + 39. What is the closest to -1 in -3, r, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 4 - 6)*(-97 - 12 - 13)*(-5*j + 4*j + 3*j) to the form q + d*j and give d.\nAnswer: -244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -272.7 in -5, 14, 0.18?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 5:24 AM?\nAnswer: 1:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s*s**(6\/5)\/s)\/s*s)**(-21\/2)\/(s\/(s\/s**(-2\/3)*s*s))**(-6\/5) assuming s is positive.\nAnswer: s**(-184\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.03794954 - -4.038. Round n to six dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1527452?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 24\/10 - (-9)\/15. Let d(n) = 4*n**2 - q*n**2 - n**2 - 3*n**2. Let l(i) = -i**2. Let t(a) = d(a) - 2*l(a). Let r(u) = 2*u**2. Give r(t(v)).\nAnswer: 2*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (2 - (2 - 2) - 10) + 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8498*d - 917 - 43*d**5 + 8497*d + 2*d**3 + 7 wrt d?\nAnswer: -860*d**3 + 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/1)\/3 - (-15)\/3. Sort 0.4, -3, w, -2\/83 in descending order.\nAnswer: w, 0.4, -2\/83, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 551775042 a multiple of 6737?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 232133 (base 5) to base 3.\nAnswer: 102112210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 + 8 + 17 - 43?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of -k**6\/120 + 37*k**5\/20 - 73*k**4\/8 + 109*k**3\/6 + 375*k**2. What is z in o(z) = 0?\nAnswer: 1, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = -2*m - 83 - 108 + 158, 5*m - 5*h = 13 - 58 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 202 - 112. Solve 111*n**2 + 12 + 24*n**3 + d*n + 39*n**3 + 12*n**4 - 18*n = 0 for n.\nAnswer: -2, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 - 974*x**2 + 3876*x + 8. Determine w(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0*(3 - (2 + 0)). Which is smaller: b or -2\/33?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o - 6. Suppose -3*j + 4*r + 84 = j, -2*j - 5*r + 35 = 0. Let w = j - 7. Suppose -2*y - 4*t = -26, -w = -5*y - 2*t + 5*t. Give n(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -4. Let a(b) = -b + 20. Let i(z) = 2*a(z) + 11*l(z). Let j(r) = -5*r - 7. Let d(k) = -14*i(k) + 6*j(k). Find the first derivative of d(w) wrt w.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*x**4 + 228*x**3 - 1384*x**2 + 924*x + 242 = 0. Calculate x.\nAnswer: -1\/5, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 not equal to 34809606?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1373222 is divided by 54?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1107 = -41*c + 574 for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, 13, -3, 29 in decreasing order.\nAnswer: 29, 13, 5, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-36)\/(-16)*-6*26. Let p = d - -502. Suppose 0 = 5*m - s - p, 5*m - 4*s + 2*s = 147. Is m a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 5*u + 5 = -3*u, -4*t - 5*u - 13 = 0. Suppose -t*o + o = -10020000. What is o rounded to the nearest 100000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 256275 divided by 85425?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (29 - (-3 + 0))\/(4\/10)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -28*q + 26*q - 6 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of y**3\/3 + 3*y**2 - 3. Let c be x(-6). Suppose -4*b + 2*s + 14 = c, -3*s - 15 = -2*b - b. Is 1 at most b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 717710774?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a second in milliseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13918 to the power of 1\/2, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29942877?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3491488 and 10791.\nAnswer: 31423392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hkcckcckbbbzbbkzb. What is prob of sequence ccb?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 753 less than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/3)\/(-9)*45\/75*10?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/3)*c*c*(c**(-5\/3)*c)\/c*c)\/((c\/((c\/c**10)\/c))\/(c\/(c**(-6)*c))) assuming c is positive.\nAnswer: c**(-10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 + 16. What is the closest to 0.1 in -0.5, w, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 2 = -4*j. Suppose -17*w - 5 = -18*w. Sort w, j, 9 in decreasing order.\nAnswer: 9, w, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence knnn when four letters picked without replacement from pnpeeptpptnpnknnreep?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tatakkcktkt. What is prob of picking 1 k and 1 c?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - d**3 + 0 + (-4699*d**2 + 4765*d**2 - 7 + 8)*(0*d - 3*d + 4*d) to f*d + i*d**2 + k*d**3 + q and give k.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 19\/4 + ((-52)\/(-16) - 3). List the prime factors of (0 + 0)\/p + -2 + 1068.\nAnswer: 2, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28*165\/528)\/((-1)\/(-4)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*f**3 + 1\/2*f**2 + 0 + 1\/2*f - 1\/2*f**4.\nAnswer: -f*(f - 1)*(f + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 6*q**2 - 2*q. Let s(b) be the second derivative of -13*b**4\/12 + 5*b**3\/6 + 92*b. Determine -10*k(y) - 4*s(y).\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -334, -533, -584, -475, -194, 271, 932, 1801?\nAnswer: 2890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0695 - 0.3305. What is the nearest to 3 in -2\/19, q, -2\/3, -3?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28 (base 14) to base 15.\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -33 - -163\/5. Suppose 2*n + 2 = a, -6 + 2 = -a. What is the nearest to n in -4, c, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*f**4 - 86*f + 46*f + 50*f**4 wrt f.\nAnswer: 516*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -693*m**2. Let p(f) = 26*f. Calculate p(k(s)).\nAnswer: -18018*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(((sqrt(190) - (sqrt(190)*-2 - sqrt(190))) + sqrt(190) - sqrt(190))*4 + sqrt(190)))\/(-1*sqrt(40)\/sqrt(4)*5))**2.\nAnswer: 21964\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of -n**4\/12 + n**3\/3 + 5*n**2 - 2167*n. What is c(5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/2 (b) -1\/111 (c) -0.3 (d) 3 (e) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 - 2*h - 7. Suppose -12*s = -25*s - 39. Determine b(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 183199314.\nAnswer: 2, 3, 30533219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -67.285233 rounded to two dps?\nAnswer: -67.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dcddydddcdddxd. Give prob of picking 2 c and 1 x.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 29 = -2*t - 0*s, 31 = 2*t + 5*s. Let w(a) = a**3 - a**2 - 2*a - 4. Calculate the remainder when w(4) is divided by t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/11, 1\/2, 186, 254?\nAnswer: 254","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3\/5 + 92*o**2\/5 + 132392*o\/5 + 11276368\/5.\nAnswer: -2*(o - 314)*(o + 134)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 403, 402, 401, 400, 399, 398?\nAnswer: 397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 8 = -30. What is the greatest common divisor of w and 152?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 565 and -1.\nAnswer: 564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -52 + 73. Calculate the lowest common multiple of 6 and q.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 59 + -59.1. Let v = 6 + -2.6. Let u = 3.5 - v. What is the nearest to u in i, 2, -5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b**2 - 7*b**2 + 2*b**2)*(-3 - 6 - 12).\nAnswer: 42*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3079 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + -2012000000012?\nAnswer: -2012000000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 + 2. Let g be -2*4\/24*9. Calculate o(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144397646 to the power of 1\/2, to the nearest integer?\nAnswer: 12017","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -881*j + 1078. What is the units digit of u(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -353 - 22565.\nAnswer: -22918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 10:19 AM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9b57 + 1d53?\nAnswer: -7c04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-27)\/q)**(17\/2))**(-2\/131) assuming q is positive.\nAnswer: q**(459\/131)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-2)*(-7)\/(84\/15)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 154499 + -154497.30013. Let h = t - 1.7. What is h rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -188, -107, -36, 19, 52, 57?\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 91 + 146?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -71*v**2 + 5*v**3 + 110*v**2 + 2512*v**4 + 72 - 2515*v**4 - 114*v + v**3 = 0.\nAnswer: -4, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162)*-2 + 3 + 2 + -1 + sqrt(162))**2.\nAnswer: -72*sqrt(2) + 178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 128*s**2 - 14*s - 3. Is j(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z + 10. Let t be r(9). Is (-5)\/(t*3\/(-33)) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in five halves of a milligram?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0, -6\/5, -0.4, -5\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 PM and 11:01 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 2251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-10)*(-50)\/(-4). Suppose 4*y + 3*x = 4*x - 23, 15 = 5*x. Let s be 0 - ((-2)\/(-5))\/(1\/y). Which is the closest to -2\/7? (a) l (b) -3\/4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -3 + 4 - 3 + 1. Let b(y) = y**2 + y + 38. Let m(p) = b(p) + n(p). Is m(0) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**13)\/(v*v**4)*v**(5\/2)\/v**(-20))**(-21) assuming v is positive.\nAnswer: v**(-1323\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26430 is divided by 13012?\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.2 (b) 0.2 (c) -4 (d) 0.754 (e) -3\/7 (f) -1 (g) 15\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 395 + -153. What is the greatest common factor of v and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4011313 + -10?\nAnswer: 4011303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 69 divided by -21\nAnswer: -23\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -467050 (base 9) in base 2?\nAnswer: -1000100100010000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 + 2*b**2 + 82*b + 255. Let s be w(-3). Suppose 0*g + 28 = -2*g. Let z = -16 - g. Sort s, z, 2.\nAnswer: z, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 8*k**5 + 280580*k**4 + 2461352624*k**3 + 20904034452*k**2 + 24579162720*k - 92211307200 = 0?\nAnswer: -17532, -5, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*f + 1908 = -36*f. Let n = f + -211. Which is greater: n or -4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.41 to 0 decimal places.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12\/11, -1\/3, -4, -0.5, -14\/9 in descending order.\nAnswer: 12\/11, -1\/3, -0.5, -14\/9, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/t**(2\/55)*(((t\/(t\/t**1*t))\/t)\/t)\/t assuming t is positive.\nAnswer: t**(-112\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**0)**(-12))**(-42) assuming z is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 52028 - 52027.911451. What is r rounded to two decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001110 + 1001?\nAnswer: 10010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 4*l - 20 = 0, 4*l - 3 = 3*c + 5 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 121.\nAnswer: 2\/121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2. Let o(a) = -45*a. Let l(n) = -n. Let c(b) = 15*l(b) - o(b). What is c(s(v))?\nAnswer: -30*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 2*z - u, -5*z + 2*u + 9 = 17 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 499, 1001, 1503?\nAnswer: 2005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*u = 824 + 749 for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 26, 49, 94, 179, 322, 541, 854?\n\"Answer: 3*n**3 - 7*n**2 + 23*n + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -28155314*q**3*u + q**2 + 4*q - 10257*u - 2 wrt q?\nAnswer: -168931884*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*r + 53*r - 378 = 0. Let f(q) be the first derivative of 8*q + 16 - 1\/2*q**4 + 7*q**2 + 4\/3*q**r. Let f(m) = 0. What is m?\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 + 3*n - 5. Let x be p(-5). Put 2, -5, x in descending order.\nAnswer: x, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -86*s. Let p(q) = 3*q**2. Determine k(p(t)).\nAnswer: -258*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.10158 and 970059520.\nAnswer: 970059519.89842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*k + 35 = 43*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3196805 times 9?\nAnswer: -28771245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 68*q + 12. Let m be r(6). Let g be ((-6)\/(-4))\/(18\/m). What is the highest common divisor of g and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*j + 2*j - 4*j + 0 + j + 0 + (-2*j + j + 2*j)*(-1 + 1 - 2) - 1 + 4*j + 17*j - 4*j to x + h*j and give h.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 0 + 3 + ((sqrt(11) + (sqrt(11) - (sqrt(176) - sqrt(11))))*-3*-4 + sqrt(44)*-5 + sqrt(44)\/sqrt(4) + -1)**2.\nAnswer: 42*sqrt(11) + 4859","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 39*d**3 - 3*d - 10. Let f be g(6). Is 4*4\/(64\/f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 372\/6*((-6669)\/(-78))\/171\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 4*i + b - 5*b, 5*b + 15 = 0. Let x(w) = -w + 9. What is the lowest common multiple of x(i) and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10850662, -10850663, -10850664, -10850665?\nAnswer: -10850666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -60*u + 51. Let r be h(6). Let j = -313 - r. Let s(b) = -b**3 + 5*b**2 - 3*b + 3. Let t(z) = -2*z**3 + 6*z**2 - 4*z + 4. Determine j*s(w) + 3*t(w).\nAnswer: -2*w**3 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3587*n + 3581*n + 18 = 0. Sort 4, 3\/8, n, 20 in descending order.\nAnswer: 20, 4, n, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 times -3204?\nAnswer: 25632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 + 15*k + 12. Let i = 59 - 72. Let x be t(i). Let n be (-1998)\/x + 99\/(-21) + 5. What is the highest common factor of n and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -4*c + 24, 4*f - 5*c = 5*f - 19. Solve m - 12 = f*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3336854275?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 112\/12 + 260\/(-15).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1682 - -3?\nAnswer: -1679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -918206 less than or equal to -918183?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -339 - -340. Let p = 1\/105 - -2\/15. What is the nearest to r in 0.2, p, -2\/11?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -60*4128\nAnswer: -247680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - 6476?\nAnswer: -6503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-34*(-3)\/(-12)).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 297150 and 60.\nAnswer: 594300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 33924 divided by 6?\nAnswer: 5654","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -15\/14, 1\/2, -3, 3\/2 in ascending order.\nAnswer: -3, -15\/14, 1\/2, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-six fifths of a litre?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p. Let t be q(-3). Let w = t + 2. Let z = -358 + 362. Is w < z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -662, -2739, -4816?\n\"Answer: -2077*c + 1415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -151830\/11 < -483?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 10188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 102 + -84. Let r = -4 + 6. What is the lowest common multiple of r and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 = -397*p + 400*p + 16*j + 18, -2*p - 52 = j for p.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 66841 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of 0*q**5 - 1\/6*q**3 + 5*q**2 + 0 + 1\/60*q**6 + 0*q**4 + 0*q. What is the derivative of u(d) wrt d?\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z\/(z*z**(-1\/2))*z)\/z**(3\/5))\/(z**(-22\/5))**(10\/3) assuming z is positive.\nAnswer: z**(527\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9.354 and -0.3.\nAnswer: -2.8062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 9*h + 19 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 33 - 15. What is the remainder when 33 is divided by w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2\/7 - -3\/14. Let z = 3.1 + -3. Sort g, 3, z in increasing order.\nAnswer: z, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1110)\/666 - 902306\/(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1414 - 1400 - (-25 - -1)*-1\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1377 - -1375. Let w = -0.039 - -2.889. Let g = r + w. What is g rounded to 1 dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -484, -5 in increasing order.\nAnswer: -484, -5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*l**(4\/7)))\/((l*l**(-9)\/l)\/l))\/((l*l*l*l*l**1)\/(l\/(l\/(l**(-2\/19)*l)))) assuming l is positive.\nAnswer: l**(708\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m - 34. Let o(j) = j. Let y(q) = l(q) + 12*o(q). What is the first derivative of y(g) wrt g?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.8869 - -0.6869. Which is the closest to -1\/10? (a) k (b) -0.3 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152*v + 4*c - 106 = -153*v + 42, -2*v - 172 = -5*c for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (8 + 4 - -10) + -9.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**2 + q**2 - 2*q**2)*(27*q + 1 + 1071*q**2 - 528*q**2 - 545*q**2).\nAnswer: 2*q**4 - 27*q**3 - q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 76259072501 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2\/17)\/z*z*z)\/(z*z*z**(-3\/5)*z)*(z**(-8)*z*z)\/((z**(1\/5)\/z)\/z))\/((z\/z**(-4)*z)**14)**(-23) assuming z is positive.\nAnswer: z**(163734\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 6) to base 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -52*k + 2861. Determine z(63).\nAnswer: -415","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -413178651 + 413178651 + 385*n.\nAnswer: 385*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k. Let b be m(-3). Let v = b + -1. Suppose -9 = -3*y, -v*o + 0*o + 43 = -3*y. Is 18 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 575225011 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 153388.\nAnswer: 2, 31, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d**2. Let q(s) be the second derivative of 865*s**4\/6 - 61*s + 5. Give q(x(v)).\nAnswer: 6920*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, -3, -2, -11, 1\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 783604397 a multiple of 301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31985?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 + 20. Let o(q) = q**3 + 5*q**2 - 9*q - 9. Let t be o(-6). Which is greater: t or i?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001001100001 (base 2) in base 9?\nAnswer: 6407","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 39*p - 5. Let t(g) = 310*g - 40. Calculate -25*b(r) + 3*t(r).\nAnswer: -45*r + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1481.8 in -3, -0.3, -26, -1\/2?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 748 divided by 57990.\nAnswer: 374\/28995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (90\/12)\/(2\/84 + 0).\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -101 + -1?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2. Let t(l) = 441*l**2. Calculate t(d(z)).\nAnswer: 441*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -3*q**3 + 41*q**2 + 10*q + 58. Let m be n(14). Solve -m*t = 4*y - 12, -4*y = -9*y - 2*t + 14 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3692526 by 86.\nAnswer: -1846263\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -4*w - 6. Let h(n) = -3*n - 5. Suppose -5*k - 5 - 5 = 0. Give k*x(m) + 3*h(m).\nAnswer: -m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 8653.419 millennia?\nAnswer: 86534.19","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 4*k - 16 = -0*m, 5*k + 29 = 3*m. Is (6\/m)\/((-2)\/(-798)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1784531 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110011101000000011 - -10?\nAnswer: -1110011101000000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 339719.59 - 339723.00999666. Let w = v + 3.42. Round w to 7 decimal places.\nAnswer: 0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 47752.\nAnswer: 47752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5\/3, -2, -46?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -342 (base 8) in base 6?\nAnswer: -1014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15*3\/(-288)*6*(-4)\/1.\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to -1527215?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3014.1 - -3014. What is the nearest to f in 2\/13, -3\/2, -0.4, 0.4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.95386 to one dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 0\/(77\/7) - -521*1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32.8202 times 2.6?\nAnswer: -85.33252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 - 6*p**2 + 2. Let j = -16 + 10. Give t(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63521*a + 454 = 63401*a - 7826 for a.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w + 12. Let b be m(-12). Find the common denominator of -95\/6 and ((-4)\/4 - (-130)\/(-16)) + b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -1. Let q(p) = -2*p + 1. Determine -2*b(o) - 3*q(o).\nAnswer: 6*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/45, -2091, 4, -1\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -24\/443675 and -48\/88735.\nAnswer: 443675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 69\/2*(0 + 12\/(-9)). Let z = k + 103. What is the highest common factor of z and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, u: 5, w: 5, s: 1, v: 4}. Give prob of picking 3 w and 1 v.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17060.5 + 17061. Let b(k) = k - 1. Let y be b(-4). What is the closest to 3\/8 in y, -2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 1, -452, 5, 0, 2 in descending order.\nAnswer: 6, 5, 2, 1, 0, -452","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 43081609 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -1342347*c + 48. Let n(m) = -2*m. What is f(n(j))?\nAnswer: 2684694*j + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*p**3 - p - 19*p**3 + p.\nAnswer: -39*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4025 and 575?\nAnswer: 4025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 - 13. Suppose -2*c - z*v = -633, 2*v - 802 + 154 = -2*c. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s + 4. Let b be m(-6). Let r(q) = -1 - 16*q**3 + 4*q**3 - 2*q**2 + 0*q**3 + q**2 + 11*q**3 + q. What is r(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 3*s - 67, 31 = 7*s - 4*s + 5*k. What is the remainder when s is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0040209 rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 3 = -19. Let t(b) be the third derivative of -1\/3*b**3 + 0*b + 5*b**2 + 0 + 1\/24*b**4. Give t(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 6, x: 2}. What is prob of picking 2 c?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 551a + 479d?\nAnswer: 9cb8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -100, 5 in increasing order.\nAnswer: -100, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 23404.6046 to the nearest one hundred.\nAnswer: 23400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 + 12*k**2 + k - 8. Let z be u(12). Sort z, 0.1, -1 in ascending order.\nAnswer: -1, 0.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(4*-2*sqrt(68) + sqrt(68)))\/(-2*sqrt(484)*3) + 5.\nAnswer: -14*sqrt(17)\/33 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13050891 to the power of 1\/3, to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 508356602 to the nearest integer?\nAnswer: 798","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 - 2*b**2 + b - 1. Let u be a(-3). Suppose r - 23 = 4*s, -u*r + s + 24 = 4. Suppose 0 = 2*q - 63 - r. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1104 (base 6) to base 5\nAnswer: -2011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2*s - 1)*(4 + s - 4 + (2 + 1 - 1)*(6*s - 3*s + 0*s) + 13 + 2*s + 6*s - 12) to f + a*s**2 + y*s and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/6 and 47\/51636.\nAnswer: 51636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 19.5\nAnswer: 58.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (18\/(7 - 1))\/(3\/11) is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((36\/(-15))\/3)\/(46\/(-345)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 162326 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 156\/26 + -2 + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -r - 112. Let h = -55 - r. What are the prime factors of h?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 332 and 8?\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 2*q + 25, -2*q - 5*d - 1 = -0*d. Let n = 0 - q. What is the greatest common divisor of 96 and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25040 is divided by 38?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8\/(-5))\/(6\/(-15)). Suppose 0 = -2*z + 5*w - 5, -m*z + z + 3*w = 3. Suppose z = 2*b - 2*i - 2*i, 5*i = -2*b + 18. Is b a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 105, 191, 277, 363, 449?\nAnswer: 535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - 0 - (-32 + (10 - -9))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 4*w + 18 = 0, -8*w - 36 + 44 = v - 2*w + 30 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9569 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 2*b - r = 2, r + 426 = -5*b + 418 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uddduddd. What is prob of sequence dd?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.3 + -0.7. Let t = 0.05 + 1.95. Let j = t + -1.9. Put x, -0.1, j in descending order.\nAnswer: j, -0.1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n**3 + 74*n**2 - 1695*n + 28. Calculate h(-53).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y**3 - 31*y**2 - 14*y + 9. What is x(16)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*m + 1 + 21*m - 9*m - m to the form y*m + j and give y.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*i - 36 = -26*i. Let r be (-6)\/(-27) - 176\/i. Suppose 0 = -3*o - 4*s - 20, -4*o - s - 20 = 3*s. Solve o*u + r = -2*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1279*m - 107*m - 256*m + 794*m to p*m + i and give p.\nAnswer: 1710","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*f + 37*f - 25*f.\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10012, 10011, 10010, 10009, 10008, 10007?\nAnswer: 10006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -2*x. Let u be (4\/(-7) + x)*-7. What is the second derivative of p**4 + u*p**2 - 2*p**2 - 2*p**2 - 2*p wrt p?\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.19306 and -2.28.\nAnswer: -2.47306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 147\/6290?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.4 (b) -0.1 (c) -1.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-12 - (-10220)\/1134)\/((-8)\/6) and 61\/450.\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140 = 3*k + 2. What are the prime factors of k?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**10*g**(3\/5)*g)\/(g\/g**(4\/3)*g**(-3)) assuming g is positive.\nAnswer: g**(239\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**6\/o*o*o**(-2\/19))\/((o*o\/((o\/(o**(2\/7)\/o)*o)\/o))\/o*o*o**11) assuming o is positive.\nAnswer: o**(-717\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -210345, -210350, -210355, -210360?\nAnswer: -210365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = j + 15, 8*j - 5*j + 65 = -5*i. Let g(q) = -53*q + 5. Let n be g(-3). Let w = n + j. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13.11 - 13. Let x = -621 - -620.6. What is the second smallest value in s, x, 3\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -s + 0*s**3 + 2*s**3 + 0*s**4 - 2*s**4 - 2 + 3*s**2 - 2*s**2 as k + m*s**3 + f*s**4 + c*s**2 + z*s and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 4 = o + 9, 2*r = -5*o - 21. Suppose 0 = r*c + 14 - 44. Suppose -3*q = 3*n - 9, -5*q + 5*n + c = -0*n. Sort -6, 5, q in ascending order.\nAnswer: -6, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-7))\/(211 + (-3525)\/21)\nAnswer: -2\/151","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 PM and 10:10 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((2 + sqrt(17)*1)*5 + -5)**2 + 4 + 0 + sqrt(612) + 4 + (sqrt(612) - (sqrt(612) + 1))**2 + sqrt(612) + -2.\nAnswer: -443 - 38*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 40886299003 - -0.5?\nAnswer: 40886299003.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 17*o**2 + 5525*o + 3803273. Let i(d) = 12*d**2 + 5522*d + 3803276. Let a(r) = -3*i(r) + 2*z(r). Suppose a(n) = 0. What is n?\nAnswer: -1379","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1391, -1414, -1461, -1538, -1651, -1806, -2009?\n\"Answer: -p**3 - 6*p**2 + 2*p - 1386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 4*m**2 - 11*m. Let u(w) = -2*w**2 + 6*w. Let l(t) = -11*u(t) - 6*y(t). Let g(k) be the second derivative of k**4\/12 - 11*k. Calculate l(g(s)).\nAnswer: -2*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.03 in -2.3, 5, 13420, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**3 + 3*q - 3*q)*(-462 + 462 - 15*q) - 2*q**4 + 0*q**4 + 3*q**4.\nAnswer: -29*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 d when two letters picked without replacement from fvvffnfd.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/91 and 76\/273.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of r**7\/1995 + 17*r**6\/1140 + 17*r**5\/114 + 53*r**4\/76 + 30*r**3\/19 - 1141*r**2 - 1. Let t(v) = 0. Calculate v.\nAnswer: -10, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2645600662.\nAnswer: 2, 257, 1613, 3191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 - -0.2. Let t be (-5 + (-78)\/(-12))\/((-6)\/208). Let j = t + 53. Which is the second smallest value? (a) -22 (b) i (c) j (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 3*r - 108, r = -6*g + 5*g + 46. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*z**5\/9 + 1040*z**4\/9 + 16372*z**3\/9 - 5720*z**2\/3 + 484*z.\nAnswer: 4*z*(z + 33)**2*(2*z - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1527095, 3054195, 4581295, 6108395, 7635495, 9162595?\n\"Answer: 1527100*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2584*c - 748. Let u(f) = 55*f - 16. Give 187*u(y) - 4*x(y).\nAnswer: -51*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 5*l + 1565 = 0, q + 3*l - 2319 = -750. Is q a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 258 = -10*i + 288 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 40451534 (base 6) in base 11?\nAnswer: 720917","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - -2 - (-4242 - 0). Let b = j - 2387. What is the units digit of b\/40 - 4\/10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(2 - 1)*4. Let f(w) = -w**2 + 9*w - 5. Let n be f(a). Solve -n*v = u + 2, -17 = 3*u - 4*v + 2*v for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + y - 2*y + (-3 + 3 + y)*(-1 + 3 - 4) + 2*y - 5*y + y - 23*y - 8*y - 2*y)*(42 - 17 + 72).\nAnswer: -3686*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 676.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4.2 in -2, -40, 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - sqrt(21)\/(3*sqrt(3))) + -1.\nAnswer: -1 + 2*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 28\/5 and 2\/(242\/82 + -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/364 and -79\/468.\nAnswer: 3276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a**3 - 9*a**2 + 20*a + 1. What are the prime factors of d(-8)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 times 32\nAnswer: -256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -74.4 less than -3.01721080926?\nAnswer: 71.38278919074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 45037 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 i, and 2 r when four letters picked without replacement from {r: 4, t: 2, z: 2, i: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 51, 30, -258, 2\/5 in descending order.\nAnswer: 51, 30, 2\/5, -258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of -g**5\/35 + g**3\/21 - 1. Factor v(f).\nAnswer: -f**2*(f - 1)*(f + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-6)\/(-31456))\/(1678\/8). Let u = b - 8415616987\/702675924. Let m = u - -22\/71. Calculate the common denominator of -61\/4 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*m - 41*m + 1417 = -70*m for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 + 10 + y**2 + 6*y - 8*y. Let r be t(-7). Let o = r + -608\/5. Is -1\/7 > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*i + 1643 + 754. Calculate the greatest common divisor of 94 and i.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -656 - 78 - 112 - 221 + 389*j wrt j.\nAnswer: 389","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 5*j - 78 + 56 = 0, j - 12 = 3*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 2 + 1 + sqrt(245))**2 - (sqrt(90)\/(sqrt(2) - 2*sqrt(2)) - sqrt(45))\/(-5*sqrt(36)\/sqrt(4)).\nAnswer: 348*sqrt(5)\/5 + 270","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2. Let s(r) be the second derivative of r**7\/2520 + r**4\/4 - r. Let d(y) be the third derivative of s(y). Determine t(d(x)).\nAnswer: x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.3, 2\/3, -0.1, 5.766, 3\/8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/18738 and 23\/95732442?\nAnswer: 95732442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/104 and -31\/1800.\nAnswer: 23400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(((-1425)\/(-760))\/((-25)\/(-4))).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 + 6*t**2 + 384*t - 3447. Calculate k(10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27 + 3*w - 27.\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 6 = 0, 2*m - 5*u = -0*m - 159. Let d = 111 + m. Suppose 497 = -17*p + d*p. What are the prime factors of p?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in three tenths of a millisecond?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - g + 15098 = 0, -11*g = -12*g + 4. What is the thousands digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -45 + 47. Suppose g + 5*l = -q*g - 7, -4*g = 5*l + 1. What is the third derivative of 10*w**6 - g*w**6 + 7*w**2 - w**2 - 2*w**2 wrt w?\nAnswer: 480*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 61546?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/24 and 41\/7539?\nAnswer: 60312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of p**3*v**3 + 1210285*p**3*v**2 - 13*p**3*v - 2*p**3 + 4*p**2*v - 884*p*v wrt v.\nAnswer: 6*p**3*v + 2420570*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17710 = 198*b - 221*b. Let w be (-2)\/(-7) - (3930\/b - 5). Let 0*m**2 + 0*m**3 - 2\/11*m**5 + w*m**4 + 0*m + 0 = 0. Calculate m.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 2*q - 2 = 0, 2*q + q + 13 = -2*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61 + 77 = 8*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.128 + -5.128. Sort 1\/11, 9, z in descending order.\nAnswer: 9, 1\/11, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 + -6 + (140 - 107)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kjkjkhhkkkhkkjjtkkhj. Give prob of sequence jjk.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/4 - 7\/(-20)*-3. Let r be (-3)\/2 + 3\/6. Is h >= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33150 rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 4*m + 312 = 0, -2*z = -m - 1306 + 641 + 578 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -11476 and -100735.\nAnswer: 1156034860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f**2 + 0*f**2 + 3*f**2)*(16 - 16 + 20*f**3 + (-3 + f**3 + 3)*(-3 - 2 + 4)).\nAnswer: -19*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -4*(sqrt(3) + 0).\nAnswer: -4*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -61485 by -4.\nAnswer: 61485\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 2 - 6. Let w = -57 - -56. Put w, 1, f in increasing order.\nAnswer: w, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 + 32 - 53 - 3*p.\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2. Let i(g) be the second derivative of g**3 - 3*g. Give i(v(y)).\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 445594?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6 - -10)*2\/(-8). Let v be (r\/(-46))\/((-3)\/(-12)). Let p = 449.3 - 449. What is the third smallest value in p, 1\/2, v?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (18 - 11) + -3 + -4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 - 12*p**3 + 14*p**3.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkksskussssuskk. What is prob of sequence ksu?\nAnswer: 7\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxg when three letters picked without replacement from xgggggxggq?\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + -14. Let z = j - -4.7. Let o be (72\/1020)\/(51\/(-578)). Which is the closest to 1\/3? (a) z (b) 0.1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0 (b) 1 (c) 1\/6 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72000 and 168768000?\nAnswer: 168768000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*c + s + 9, 0 = 3*s - 3. Suppose -c*n + 2*n = -179. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 39199 - 38119. Does 45 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 175421\/21 or 8352?\nAnswer: 175421\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -7215 minus 24811?\nAnswer: -32026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 8459702162510 take away 0.2?\nAnswer: 8459702162509.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 + 17*f**2 + f + 11. What is k(-17)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/(-248) + (-97)\/62)*(-28)\/1302.\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 20, q = 3*h + 4 + 16. Suppose -3*b + 5*v = -2, 2*b - q*b + v + 10 = 0. Solve 0 = -b*g + 5 + 3 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -34 - -53. Let b = -194742477.00000008 - -194742458. Let l = j + b. Round l to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 AM and 2:50 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -12580356 - -3?\nAnswer: -12580353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-2\/3)*u*u*u*u)**(2\/85)*(u**(-1\/4))**(1\/75))\/(((u*u**(1\/4))\/u*(u**(4\/7)\/u)\/u*u*u)\/(u**(-5\/4)\/(u*u**(1\/2)*u*u))) assuming u is positive.\nAnswer: u**(-195379\/35700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v - 7. Suppose 30 = -3*t - i + 3*i, 0 = 3*t - 5*i + 39. Let y be f(t). Let l(h) = h**3 - 8*h**2 - h + 7. Is l(y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39\/(-806)*18\/(-189)*-7.\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of -3*j**2 + 15*j + 30. Let n(m) = m - 3. Give -2*d(t) - 11*n(t).\nAnswer: t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/30900 and -119\/751900.\nAnswer: 2255700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 632560 or 0.354?\nAnswer: 0.354","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 + 99*j - 107. Calculate d(-100).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36196720?\nAnswer: 2, 5, 7, 109, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36 (base 11) to base 15.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18625876*s**5 + 17907984*s wrt s.\nAnswer: 372517520*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of 656*r**3\/3 + 451*r**2\/2 - 147. What is the second derivative of c(h) wrt h?\nAnswer: 1312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 164869 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 + 10*j - 16. Let h be -2 + 5 + -1 - 14. Calculate z(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*o - 27*o + 372 + 468 for o.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.3 - -0.22. Let p = -0.08 + -0.02. Which is smaller: q or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.7605501 milligrams?\nAnswer: 0.0000007605501","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/4)*l\/(l**0\/l))\/(l\/(l\/l**(-12))*l*l**13\/l))**10 assuming l is positive.\nAnswer: l**(15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 2*r + 48, 3*x - 3*r = 16 + 20. Solve 0 = 5*g - 3*g - 4*q + x, -3*g + 4*q = 16 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v - 1. Let j(k) = -k**2 + 6*k + 5. Let l(f) = -j(f) + 2*s(f). Is l(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 82467593 and -14.\nAnswer: -1154546302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iegigggieggeeggi. What is prob of picking 4 g?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 + 5*f - 1. Let q be y(3). Let u = 144.96 - 141.96. What is the closest to -1 in q, u, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - i + 0 - i + 0*i + 3*i + (-i - 2*i + i)*(0 + 5 - 2) - 1 + 1 - i + 0*i - i + 3*i)*(0*i + 4*i**4 + 0*i).\nAnswer: -16*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-8)*0 + 4. Suppose -2*v + n = -28. Calculate the greatest common factor of 144 and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1571228 is divided by 7270?\nAnswer: 908","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, k: 1, w: 3, y: 1, o: 1}. What is prob of picking 1 o and 1 k?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5*(-12)\/(-450) - 6762\/90. Let q be (r\/(-270))\/(40\/32). Suppose 0 - 8\/9*g - q*g**2 = 0. Calculate g.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.935134 to 2 dps.\nAnswer: 4.94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 + 4*u**2 + 2*u + 3. Let a be z(-3). Let i = a + -4. What are the prime factors of (-38)\/(-6) + i\/(-6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 + w + 1. Let a(v) = 5*v**2 + 4*v + 7. Suppose 0 + 2 = 2*m. Suppose 3*z + m = -2. Determine z*a(b) + 6*p(b).\nAnswer: b**2 + 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(475) + 3*sqrt(475) + sqrt(475) + sqrt(475) + 3)**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 506403551?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -57 - 68c9?\nAnswer: -6942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43369261 to the nearest integer?\nAnswer: 6586","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 763*i + 57226. What is y(-75)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -19407*j*u + 1106970*j - 3*u wrt u?\nAnswer: -19407*j - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-35)*(-85)\/(-34)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 PM and 5:21 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-46 + (52 - 19) - (1 + -59)) + -1 + 0.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -67\/3, -81, 0.2, -3, -0.049, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -3*g**2 + 88*g + 2. Let s(b) = -8*b**2 + 175*b + 7. Give -5*j(t) + 2*s(t).\nAnswer: -t**2 - 90*t + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -5*(250\/165)\/10 - 8\/(-12)\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 0.9. Let y = 0.3 + t. Let u = y + 0.3. Round u to zero dps.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 3*k - 303 = 0, -4*k - 100 = -2*p + 44. Suppose -3*r + 5*r = -3*u + p, -148 = -4*r - 2*u. Solve 0 = 3*o + 6*o + r for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n**5 + 39*n**4 + 6*n**3 - 846*n**2 - 1539*n - 729 = 0. What is n?\nAnswer: -3, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2302 - -9209\/4. Put p, 3\/2, 1 in ascending order.\nAnswer: p, 1, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + 10233?\nAnswer: 10224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 44351960?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -7*v + 16. Let l = -535 + 563. Calculate the remainder when l is divided by x(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-10)\/(-2))\/((-3)\/(6\/2)). Let p(y) = -10*y - 31. Let u be p(l). Suppose z - 2*z = -133. Calculate the highest common divisor of z and u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iuqi when four letters picked without replacement from {q: 1, u: 1, i: 7}?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 38*j - 948. Let k be x(25). Let c(m) = -2*m - 1. Let g be c(-3). Suppose g*w + 3 = 28. Solve -w*z = -k + 7 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-4*((sqrt(500) - ((sqrt(500) - (2*sqrt(500) + sqrt(500) - sqrt(500))) + -4 - sqrt(500))) + 1))**2 + -4.\nAnswer: 4800*sqrt(5) + 72396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-21 + 46 - 18)*(0 - 9*c**2 - 3 + 3*c**2) to t*c + p*c**2 + y and give y.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of 3*i**5\/100 - 18*i**4 + 4320*i**3 - 518400*i**2 - 8*i - 21. Factor r(z).\nAnswer: 3*(z - 120)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + 923?\nAnswer: 928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/12 and 5\/162.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84696?\nAnswer: 2, 3, 3529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/21*((-165)\/22 - -6). Which is the closest to n? (a) 2 (b) -0.2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -163? (a) -13 (b) -2 (c) 1\/3 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 - 7*r**2 + 3*r - 1. Does 9 divide f(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - z = 12, 12 = 3*c - 4*z + z for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -9*w**2 + 37*w - 2. Calculate the smallest common multiple of -10*(-1)\/3*3 and i(3).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1720*b**3 + 2923 wrt b?\nAnswer: 5160*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 912\/1026 - 22\/(-36)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 0.18, 3\/529, -4, -2, -0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -83678*b**3 + 1030*b + 30?\nAnswer: -502068*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1107, -2136, -3165, -4194, -5223, -6252?\nAnswer: -7281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3, -1, 9, 33, 77, 147, 249, 389?\n\"Answer: h**3 - 2*h**2 + h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -8*r**2 - 2*r + 4. Let b(w) = 7*w**2 + 3*w - 4. Let q(y) = -2*b(y) - 3*o(y). What is the first derivative of q(v) wrt v?\nAnswer: 20*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7261 + -17493. What is z rounded to the nearest 100?\nAnswer: -10200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*l**4 - 18*l**3 + 2*l**2 - 142*l - 2 wrt l?\nAnswer: -168*l**2 - 108*l + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -451, -455, -459, -463, -467?\nAnswer: -471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 6*g + 8 = -5*j, -g = 2*j - 1 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssouuoooube. Give prob of picking 3 o and 1 s.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1 + -0.4. Let q = 0.7 - a. Let r = 0.001 - 2.001. What is the closest to -1 in q, r, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3697*l - 3683*l = 2528974. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8.1922 + 0.1922. What is the second biggest value in q, -0.04, 4?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**2 + 3*x**2 - 7*x**2)*(-x**2 - 3*x**2 + 2*x**2) - 12*x + 12*x + 72*x**4 + (-2*x**2 + 3*x**2 + 2*x**2)*(0*x**2 - x**2 + 2*x**2).\nAnswer: 79*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 - 14 = -2*m - h, -2*m = 5*h - 30. Calculate the common denominator of (-31)\/3 + -2 + 2 and m*(-3 + 30\/9).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z**3 - 5*z**2 + 10*z**2 - 6*z**2 to l*z**2 + t*z**3 + c + j*z and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1025072+118.9\nAnswer: -1024953.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -41514099*k**5 - 78464968*k.\nAnswer: -830281980*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 117722 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -15*o**3 + 11644*o**2 - 3191*o + 67518. What is i(776)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -1. Let m(l) be the third derivative of -2*l**5\/5 - 5*l**3\/2 - 9*l**2 + 2*l. Calculate -m(z) + 15*n(z).\nAnswer: 24*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**5 - 6*w**4 + 3*w**3 + 52*w**2 + 60*w.\nAnswer: -w*(w - 3)*(w + 2)**2*(w + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*l**6 - 322238*l**3 - 7913914*l**2 wrt l.\nAnswer: -1440*l**3 - 1933428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 180953 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*q - 1352 + 2128 + 3316 = 0. What is the remainder when 27463 is divided by q?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 - 7*z + 10. Let f be q(7). Let m be (-13)\/10 + 15\/f. Let p(a) = -a - 3. Let k be p(-3). What is the closest to k in 2, m, -0.5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -6\/7 (b) 17 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22 + 189\/105 - -19)\/((-13)\/(-15)).\nAnswer: -18\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1114914*x + 1675753.\nAnswer: -1114914","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -6*x**2 - 14*x - 6. Let t(f) = 31*f**2 + 71*f + 29. Let m(o) = 11*r(o) + 2*t(o). Factor m(p).\nAnswer: -4*(p + 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4974417 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a gram in micrograms?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4905? (a) -8\/7 (b) 1 (c) -0.4 (d) 3 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(76)*1)\/(sqrt(20)\/(sqrt(5)*-1)))**2 - ((sqrt(171) + (sqrt(171) + 0 - sqrt(171)))**2*3 + (1 + -1 + sqrt(171) - sqrt(171))).\nAnswer: -342","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111 is divided by 32.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -11, 1, 1\/6, 312, 0.1?\nAnswer: 312","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -166*t**3 + 6*t**2 + 6*t + 4. Suppose -3*p = p - 8, 4*l + 10 = -3*p. Let m be v(l). Round m to the nearest one thousand.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.8 - -293.\nAnswer: 290.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7418*h**2 + 35*h - 19*h - 16*h - 22925*h**2.\nAnswer: -30343*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in twenty-five quarters of a millisecond?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 512*c**3 + 5888*c**2 - 11765*c**2 + 5877*c**2.\nAnswer: 512*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 84190.9 millennia in decades?\nAnswer: 8419090","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -64 - -60. What is the nearest to 0 in -1, c, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, 126, -5, -90733, 1 in decreasing order.\nAnswer: 126, 2, 1, -3, -5, -90733","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 7*p + 119*p + 148 = 0, -3*p = 5*q + 63 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -1. Let t = l - 4.5. Let y = -23 + 116\/5. What is the biggest value in t, 0, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -1 (b) -1.4 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/9 (b) 0.008 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 7391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 134010 - -0.79.\nAnswer: 134010.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -51.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*g + 60 = -2*g. Let t(q) = -13*q**2 - 2*q + 4. Let a(n) = -14*n**2 - n + 3. Let f(b) = g*a(b) + 3*t(b). Let j(p) = -3*p. Calculate f(j(m)).\nAnswer: 153*m**2 + 6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*u + 0*u - 3*u)*(5 - 2 - 1)*(-6 + 2 + 2 + (2 + 1 - 2)*(-1 + 4 - 5)) in the form h + d*u and give d.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8\/(-12))\/(4\/(-30)). Suppose -5*i = -o - 4*i + 11, -d*o = 4*i - 28. Let v(m) = -m**2 + 9*m - 6. Let t be v(o). Solve 0 = 3*b - t - 13 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 3*k - 15. Determine q(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -25075.5 less than or equal to 52?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 311*y = 5443 - 0 - 778 for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 35267.81mm in nanometers?\nAnswer: 35267810000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 10 - 4 + 5*u - 7 to p + l*u and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 424.0321ng in micrograms?\nAnswer: 0.4240321","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 - 2*j**2 - 5844*j + 23349. Calculate v(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 777 and 2674175?\nAnswer: 8022525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1\/3*(-3)\/(-2)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7881 + 173411\/22. Find the common denominator of 19\/160 and s.\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of -f**3\/6 + 15*f**2\/2 - f. Calculate the remainder when 43 is divided by a(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 167.5 - 155. Let p = -15.5 + y. Which is the closest to 2\/7? (a) 6 (b) -0.3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 3 + 9. Suppose -7 = 4*r + 21. Let j = r - a. What is the closest to j in 0.3, -1, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -292311, -294710, -297111, -299514, -301919, -304326, -306735?\n\"Answer: -o**2 - 2396*o - 289914","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -5 - 4. Let x(v) = 5*v**2 - 23*v - 20. Let f(j) = -2*j**2 + 8*j + 7. Let g(d) = i*x(d) + 8*f(d). Let z = 6 + -9. Calculate g(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 3 + -1 + (1 - 6)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 + 6*i**2 - 4*i - 3. Let o be d(4). Differentiate -1 - 9*k**2 + o - k**2 with respect to k.\nAnswer: -20*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1259 + -1247. Let a(b) = -b**3 - 17*b**2 + 6. Let t be a(-17). What is the highest common factor of t and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 3 + 2*h**2 + h**2 - 5*h + h**3 + 2*h. Let z = -139 + 135. Give j(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 - 101 = -4*s. Let h(y) = 9*y + 24. Let i be h(s). What is the greatest common factor of 63 and i?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3015 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 7, t: 2, l: 1, i: 3, r: 1, k: 3}. Give prob of picking 3 i and 1 t.\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3582, -0.4, 43, 2, 0.3 in ascending order.\nAnswer: -3582, -0.4, 0.3, 2, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f + 49649 - 10842 + 55559.\nAnswer: f + 94366","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 39075.47186 rounded to the nearest 1000?\nAnswer: 39000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003757 to seven dps.\nAnswer: -0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 694 a factor of 152823474?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 227746.\nAnswer: 2, 23, 4951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -317 or -326?\nAnswer: -326","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 69844012?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (721095\/20 - 2) + (-15)\/(-60) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 25\/2 of a gram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15178 = -7*g + 4*g - k, -3*k + 5062 = g. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 49*f**2 - 1. Let k be h(-1). Let y be (-584)\/(-12) + 1 - 1. Let u = k - y. Is -2\/3 at most u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2982846 is divided by 4255?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6778?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of i**4\/4 + 4*i - 4. Let h(o) = -o + 1 - 1. What is h(x(v))?\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17.94 - 18. Is -3 greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18766 - 13395. Let o = b - 2762. Let m = 4659 - o. Round m to the nearest one hundred.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124*o + 128*o + 20 = 4*j, -19*o = 2*j + 74 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -75.4401 rounded to one decimal place?\nAnswer: -75.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*d = 27*d - 460. Find the second derivative of -21*t**2 + 219*t + d*t - t + 20*t**2 + 94*t**2 wrt t.\nAnswer: 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 396*k*p**2 - 7*k*p + 9861*k + 12070*p**2 wrt p.\nAnswer: 792*k + 24140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 968775359 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -5*h - 202. Let n be i(-42). Solve -n*g = -13*g + 20 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47324 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 7 + 7 - 629*r + 9*r.\nAnswer: -620*r - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/20180334 and 131\/18.\nAnswer: 60541002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2352 and 672378.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 31ab0 (base 13) to base 12\nAnswer: 43b01","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 2\/5*j - 2\/5*j**3 + 4\/5*j**2.\nAnswer: -2*j*(j - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9*(-2)\/(-15))\/(54\/(-20))?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 4 (b) -2 (c) 8\/5 (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/15 (b) -1\/7 (c) 2\/7 (d) 4 (e) -2\/25\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 2. Let u = -1\/40 + -113\/280. Which is the closest to j? (a) -1\/10 (b) u (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 5, 2\/9, 22, 0.3142?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1622977?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-44)\/176 - ((-12571)\/(-4) + 3). Is s greater than -3146?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of y**2 + 36*y**5 - 36*y**5 + 4*y**4 + 24*y**5 - 2*y**2 + 22*y wrt y?\nAnswer: 1440*y**2 + 96*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 1. Let w(i) = -5*i**2 - 5. Let s(g) = 1. Let z(n) = -2. Let v(j) = 3*s(j) + z(j). Let b(k) = 6*v(k) + w(k). Give b(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.175 - -4?\nAnswer: 3.825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*n, 0 = b - 3*n + 5*n - 9. Suppose p - 5*f - 59 - b = 0, -4*p + 213 = 5*f. Let h = p - 57. Solve 5*t + h*t - 20 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1369*k**2 + 23843*k**3 - 1370*k**2 + 2739*k**2 - 23829*k**3.\nAnswer: 14*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 i, and 1 u when three letters picked without replacement from {f: 5, u: 1, y: 1, i: 2, t: 1, o: 6}?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-138)\/30 - -5)\/(6\/5). Let f(m) = 24 - m**2 + 27 - 28. Let z be f(-5). Put w, z, -10 in descending order.\nAnswer: w, z, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of -y**7\/210 + 13*y**6\/60 - 11*y**5\/5 + 31*y**4\/3 - 80*y**3\/3 - 92*y**2 - 2. What is s in b(s) = 0?\nAnswer: 2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 74 = 4*m, y = 4*y + 5*m - 79. What are the prime factors of ((-4)\/(-6))\/(4\/y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*k - 15. Let n be (4\/(-6))\/(k\/(-9)). Are n and 1 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5325.\nAnswer: 3, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a millennium in months?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-6\/7))**(-21\/4)*(w*w\/(w*(w\/w**(1\/29))\/w)*w)**(-31\/3))**(-2\/17) assuming w is positive.\nAnswer: w**(2875\/1479)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hddhhddddwhdd. Give prob of sequence wh.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 + 2*b**2 + 5*b - 12. Calculate l(-4).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/22 and 99\/207224.\nAnswer: 2279464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1701?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(3*(sqrt(1331) + 0 + -5) + (-4*2*sqrt(1331) - ((sqrt(1331)*-2 - sqrt(1331)) + 4 + sqrt(1331))))**2.\nAnswer: -61700 - 6270*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 3*t)*(-3*t - 4*t + 2*t)*(-19 + 69 - 14) + (-t + 2*t - 2*t)*(-t - 5*t + 0*t).\nAnswer: -534*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 543833.\nAnswer: 31, 53, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.753051 millennia to centuries.\nAnswer: 7.53051","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -65703455 (base 8) to base 3\nAnswer: -222120121122102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51324116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 20, -4*f + 37 = -0*f - 5*a. Let b = 2 - 0. Suppose f*o**2 - 2*o**2 + b*o**4 - 3*o**4 = 0. What is o?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 316 - 235. What is the highest common divisor of 135 and q?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1176991 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4057053 (base 8) in base 12?\nAnswer: 438923","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 86*k + 3. Let b(x) = 3*x + 1. Give 5*b(y) - r(y).\nAnswer: -71*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 11 divided by 14964\nAnswer: 11\/14964","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 152, -4, -5, -2, -441 in descending order.\nAnswer: 152, 5, -2, -4, -5, -441","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3024 + -4?\nAnswer: 3020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1973?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 0*k - 10. Suppose -5*r - 6*f = -3*f + 14, 2*r - k*f + 12 = 0. Is 120 - (r\/2 + 0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 23*i - 1.\nAnswer: 23*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.21+-1286773.306\nAnswer: -1286773.516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.235 less than -0.4?\nAnswer: -0.165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 76 = 56. Which is the closest to -26? (a) 1 (b) r (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 259 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(-5985)*19*-6*(-2)\/(-8).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 60 = 8. Let o = l + 2. Calculate the common denominator of -65\/6 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.9 + -10.8. What is y rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*c = 286 + 50 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a. Let m(o) = -1674*o - 53. Let f(v) = 1676*v + 62. Let r(i) = 6*f(i) + 7*m(i). Determine n(r(q)).\nAnswer: -3324*q + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 57 + 57. Suppose -g - 100 = -2*p. What are the prime factors of p?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1239 and 188834338?\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1843488574 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 720 and 1728?\nAnswer: 8640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 7487 divide 977846043?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of -n**9\/30240 - n**6\/180 - n**5\/12 - n**2. Let h(j) be the third derivative of o(j). Differentiate h(s) wrt s.\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1100.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h. Let f(k) = 14*k - 34*k + 18*k - 4*k**2 - 16*k**2. What is j(f(g))?\nAnswer: 40*g**2 + 4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.7 + 4.634. Let f = 20.536 + -24.77. Let j = z + f. What is j rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3356*18\nAnswer: -60408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i + 5. Let a(u) = -3*u - 9. Calculate -4*a(x) - 7*o(x).\nAnswer: -2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.06 - -0.94. Let t(b) = -b**2 - 6*b + 3. Let g be t(-6). Let l be g - ((-154)\/4)\/(-7). Sort l, -0.5, u in descending order.\nAnswer: u, -0.5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -319*h - 2. Let c be -1*1*6 - (-7 + 4). Is g(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*p**2 - 8*p**2 + 2*p**2 + (-3*p - 4 + 4)*(1001*p + 1985*p - 1901*p) as x + a*p + o*p**2 and give o.\nAnswer: -3253","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 530.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 20, 5, 3, -5 in ascending order.\nAnswer: -5, 0, 3, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2*i**2 + 3*i - 2. Let x be h(6). What is the greatest common factor of x and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 plus 216441996?\nAnswer: 216441999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -5, -34, 7, -2, 40 in descending order.\nAnswer: 40, 7, -2, -5, -6, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1 + -5 + (sqrt(75) + 0 - sqrt(75))**2 + (sqrt(75) - -2*sqrt(75)*2 - sqrt(75))).\nAnswer: -20*sqrt(3) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*a - 2279 - 645 = 0. Calculate the remainder when 160 is divided by a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/(-5))\/((-2151)\/(-180) - 12). Put 19, o, -2 in ascending order.\nAnswer: o, -2, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 630 and 1695.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -115 + 118. Suppose 0 = -l + 13*x - 9*x + 382, w*x + 1110 = 3*l. What are the prime factors of l?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2745000 to the nearest 100000.\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 134 - 133.5. Which is the closest to -0.07? (a) l (b) 2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163624.\nAnswer: 2, 113, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 6131*i - 480. Determine u(0).\nAnswer: -480","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 4*b + 11. Is r(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, b: 7}. Give prob of sequence mbb.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 times -1912.436?\nAnswer: -22949.232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -399 + 398. Sort -5, l, 1, 7.\nAnswer: -5, l, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 + 5*x**2 - 12*x - 11. Let j be r(-6). Let w = 34 - j. Calculate the remainder when w is divided by 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 931706 + -931705.96499946. Let g = b - 0.035. What is g rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 3*y**3 + 522258*y**2 + 2611215*y = 0.\nAnswer: -174081, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1653 is divided by 165.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5*((-1352)\/(-52))\/(-1430))\/(2\/1254)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/112 and 77\/776?\nAnswer: 10864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + 6. Suppose -s*q + 155 = -12*q. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15049 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 9. Let k(m) = -m**3 - 3*m**2 - 3*m - 3. Determine k(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 335273317 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000010111100101000110111 + -10101?\nAnswer: 1000010111100101000100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 7 + 19. Suppose 12 = s*d - 6. Is 2 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-11 - 9)\/2 + 26756\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/((-1)\/5*-1*-2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - -2*5\/(-2). Let f = -3 - k. Suppose -2*v = 10, 2*t - 3*v + 70 = f*t. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l**2 - 24*l - 822. Calculate o(27).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-s**3 + 15 - 15 - 82*s)*(-3 + 4 - 2)*(s - 2*s - 3 + 1) in the form h*s + l*s**4 + y*s**3 + q*s**2 + m and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 5. Let c = -20 - -8. Let v = c - -11. Put k, v, 0.5 in increasing order.\nAnswer: v, 0.5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-21*s - 29*s - 81*s)*(-68*s + 68*s - 62*s) in the form c*s**2 + p*s + a and give c.\nAnswer: 8122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -3, 4, 11, 18?\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 326 and 417810?\nAnswer: 68103030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 1102040 to the nearest 100000.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + y - 2*i - 54 = 0, -4*i = 12. Suppose 2*m = -m + y. Suppose -3*n + m = -2*n. Is n a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 27 - 0. Let u = 3 - y. Let v be u\/15 - 168\/(-270). Which is smaller: 19 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3124685 rounded to one dp?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 - 13*w**2 - 4*w + 16. Calculate q(-12).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.19423 - 2.2895. Round w to 2 decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -204772 - -b0?\nAnswer: -204682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 475161 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.3585ng in grams?\nAnswer: 0.0000000393585","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00566883172 to five dps.\nAnswer: -0.00567","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 AM and 7:20 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-35)\/3*(-300)\/(-1 + 11). Calculate the highest common divisor of 100 and q.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 817836749 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2526942220 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 230377429 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m = 3*m - 5*t + 11, 4*m + 4*t = 16. Suppose m*n + 0*n = 7353. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) -0.2 (c) -503 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 3*b + 11210 = -5*h, 3*b + 2242 = -h. Let a = h + 3681. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 473117278 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -16*a - 8. Let h be m(-6). Suppose h = 2*b + 2*b. Suppose 3*q = 3*w + 21, -4*w = -3*q + q + b. What is the remainder when 4 is divided by q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -155244 or -150254?\nAnswer: -150254","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 120 and 560.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 2 - 2 - (-1 + 4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 4*q - 1314 = 0. Let r = q + -55. Let b be 2\/(52\/(-22)) + (-14)\/r. Which is smaller: b or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 8:11 AM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p*p**(-10\/9)*p*p**4)\/(p**(-6)*p*(p**(-9\/2)*p*p)\/p))**(-47\/2) assuming p is positive.\nAnswer: p**(-13019\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 5701*j - 2854*j - 2849*j + 7 = 0, 0 = 4*j + 16 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of -11*m**7\/42 - 7*m**3\/2 - 27*m. Find the second derivative of p(y) wrt y.\nAnswer: -220*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 610?\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -355*x + 118544 = -598*x - 441*x - 272*x for x.\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u. Let x(a) = 5*a**2 - a + 2. Let r(y) = c(y) + x(y). Let m be r(2). Solve -5*j - m = 3*b, -b = j + 3*b + 7 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/3)\/(28\/84)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 8 = -2*u, 0 = -4*g + g + 3*u for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10024.36 + -0.5.\nAnswer: 10023.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-250)\/(-2375))\/(10\/2755)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 110*w**2 + 15*w - 14. Is k(13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 2*o + 5*p = 180, -p + 100 = 3*o. Let a = o - 6. What is the remainder when a is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(-7) - 16\/(-21). What is the nearest to -1\/3 in -2\/7, 7, m?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/4 - 13\/(-2). Let j be (-16 + 16)*(-2 + (-2 - -5)). Let u(w) = -1 + 3*w - 5 + 3*w + w**3 + j*w - 8*w**2. What is u(q)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of 25*n**4\/12 - n**3\/6 - n**2\/2 - 2*n. Let u(y) = -y**2 + 3*y. Let w be u(2). Is g(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3374 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 - 7*i + 5. Suppose -4*c = -d + 16, -2*c - 3 = 5*d + 5. Let t be w(d). Solve -h + t = -0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-37)\/13 - (-24)\/(-1092)*7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.45 + -0.05. Let u = -8.38 + 10.2. Let j = u + -2.12. Sort j, m, -2, -0.2.\nAnswer: -2, j, -0.2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2985, -5961, -8891, -11751, -14517, -17165, -19671, -22011?\n\"Answer: 4*l**3 - l**2 - 3001*l + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 728 = -178. What are the prime factors of y?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 237*k + 44 - 42 + 15 = -4*r - 204, 3*k = -3 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24 + -86. Suppose -5*l + 8*l = -2*d + 213, -4*d + 401 = l. What is the remainder when d is divided by 3 - t\/4*2?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**4\/7 + 388*v**3\/7 + 17618*v**2\/7 - 116400*v\/7 + 180000\/7.\nAnswer: 2*(v - 3)**2*(v + 100)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-21)*12\/(-8). Suppose 40*s = 38*s - 152. Let b = -72 - s. Put z, -3\/7, b, 2\/3 in decreasing order.\nAnswer: b, 2\/3, z, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 829 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 273717676 and 18.\nAnswer: 2463459084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -520.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -1.9. Let i be 3\/(-4) + 33\/(-4). Let h be i\/21*(-2)\/3. Is x smaller than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 164439, 164430, 164407, 164364, 164295, 164194, 164055, 163872?\nAnswer: 163639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of 4*h**3\/3 - 5*h**2\/2 - 6. Suppose 9*m - 2 = 11*m. Let r(f) = f**2 - f. What is m*p(w) + 5*r(w)?\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1 + -0.1. Suppose 0 = i + 1 + 1. Let m be (4 - (i - -4)) + -2. What is the closest to t in 1\/5, -4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide -3*(2 + 1 + -21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 50\/15*5 + 2\/(-3). Suppose -t + 0 + 13 = -3*n, 0 = -t + 4*n + y. Does 10 divide 280\/30 - t\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 - 10*c**2 + 10*c - 6. Let t be x(-11). Let o(v) = 7*v - t - 4 - 1. Let d(g) = -11*g + 15. Determine 5*d(h) + 8*o(h).\nAnswer: h - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1 - -2)\/1)\/(12\/1152). What is the highest common factor of n and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 3*p**3 + 4*p - 5. Let c(m) = 14*m**3 + 18*m - 22. Let x(z) = -2*c(z) + 9*g(z). Give x(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bggmrde. Give prob of sequence mrd.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14484 and 1122?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of 11*a**2\/2 - 59. Let g(v) = 3*v**2. Calculate p(g(i)).\nAnswer: 33*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 10 + 2 = 2*z, -28 = -2*z + 3*o. Let x = z + -26. Let n be (-1)\/2*-38*-1. Is n at most x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -236, -215, -174, -107, -8?\n\"Answer: q**3 + 4*q**2 + 2*q - 243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -13*m - 24. Let c(v) = -15*v - 23. Let n(u) = -6*c(u) + 7*w(u). Determine n(-20).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/2*1246510\/20105.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1 (b) -2\/7 (c) 7\/5 (d) 0.2 (e) 0.038 (f) -29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31 + (-13 - -1) + -19 + -50?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3901740 is divided by 2781.\nAnswer: 2778","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -6052 + 6052 - 129*n in the form c + o*n and give o.\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 33044 rounded to the nearest 1000?\nAnswer: 33000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = z - 80. Let w = 41 - z. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2047518373 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -0.4, 8, -279\/2, -0.3?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 476359?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -602778 - -602769.00007. Let o = 166 + -175. Let g = s - o. What is g rounded to five dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g - 5. Let m be q(3). Let d be ((-1)\/(-2))\/(m\/8). Solve 8 = d*f, 4*n + 0*f - 10 = -3*f for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 1. Let y = 3 + -2.8. Let z be 1*(-6)\/(-4) - -1. Which is the nearest to f? (a) -0.5 (b) y (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 2*b = 2*b. Suppose 3*k - 853 = 3*x - 142, -3*x + 5*k - 709 = b. Calculate the remainder when 60 is divided by (x\/(-42))\/((-2)\/(-6)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13055?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -163\nAnswer: 81.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y + 4354 - 4583 + 123*y.\nAnswer: 127*y - 229","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1331 - -0.15. Let w = 0.016900451 - d. What is w rounded to seven decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 800 divide 11745730?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 301 is divided by 48?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 3*m**3 + 25*m**2 + 52*m + 16. Determine k(-6).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.01 - 1.99. Let k = i + 1.5. Suppose 4*g - g - 15 = 0. Which is the second smallest value? (a) 0 (b) g (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1012211112 - 1121001?\nAnswer: 1011020111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (16\/(-30))\/(4\/6). Let h = 99.4 - 70. Let q = -29 + h. Which is the second smallest value? (a) 5 (b) q (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -24*o. Let b be ((-1)\/2)\/((-1732)\/192 + 9). Let l(s) = 44*s + 24. Let w(c) = -9*c - 5. Let k(u) = b*w(u) + 5*l(u). Give h(k(f)).\nAnswer: -96*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 3*u = -3*w - 11, 0 = -2*w - u + 9. Suppose w*r + 36 = 3*r. Suppose -f + 4*z = -5*f + 24, -r = -2*f + 4*z. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/7 + 145\/35. Let q(g) = -k*g + 14 - 14. Let j(f) = -3*f. Give q(j(u)).\nAnswer: 12*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 98 = 33. Suppose -i = 5*s - 4*s. What is the common denominator of s and 51\/11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1927, 2, 1, -5, -87 in descending order.\nAnswer: 2, 1, -5, -87, -1927","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*b - 14*b - 1 = 0, 5*b + 5645 = 2*s. Is s a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.0037 <= 7\/16929?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -1 - 2 + 0*o + 3*o. Let f be a(2). Suppose -4 = -f*m - m. Let d(w) = 2*w + 1. What is d(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188633 is divided by 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 126 = -6. Suppose 9*h = v*h - 8316. Is h a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 112 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 39797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 5*r - 83. Let j be y(15). Calculate the least common multiple of (-1)\/(-2)*(-32)\/(-2) and ((-3)\/12)\/(j\/160).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**(-1))\/p)**8)**38*p**0\/((p**(1\/3)\/p)\/p*p)*p**(-1\/4)\/((p\/(p*p**5\/p*p))\/p*p) assuming p is positive.\nAnswer: p**(-3583\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 70757 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7 equal to -0.15242?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n**(2\/3))**(37\/4)\/(n\/n**(4\/21)*n**(3\/4)\/n) assuming n is positive.\nAnswer: n**(675\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (-2 + -6 - (21 + (14 - 6))).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 AM and 9:01 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = -4*g + 23. Is -1*(2*g - (8312 + 5)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 - 5*n + 3. Let c be a(-6). What is the tens digit of (120\/28)\/(c\/(-21))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20*l**4*o - 2*l**4 + 3*l**3*o + 6*l - 103*o wrt l?\nAnswer: -240*l**2*o - 24*l**2 + 18*l*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**11*v*v**(-1\/7)*v*v*v**(-2\/21)*v**(2\/29))**(-3\/10))**(-17) assuming v is positive.\nAnswer: v**(-37111\/1015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 PM and 1:42 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*l + 1505 = -32*l. Let h = l - 256. Calculate the highest common factor of h and 165.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -44095.023 to the nearest 1000.\nAnswer: -44000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2688 is divided by 506?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1124*s + 17511 - 28709 - 29266 for s.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 35587 at least 35592?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 661060171 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7138 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*(-13)\/22 + (6 - 5). Which is the closest to 0? (a) -2 (b) o (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*l + 18*l - 48 = 0. Let t(y) = -37*y - 145. What are the prime factors of t(l)?\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 5*l + l**2 - 2*l**2 - 4 + 0*l**2. Let h be d(5). Let m be 1*(70\/21 - 3). Which is the nearest to m? (a) -6 (b) -3\/7 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -63*i - 10019. Let g be z(-159). What is the closest to 1 in g, 4\/11, 5\/8?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 86332 and 138425.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 651756294 divided by -378\nAnswer: -1724223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of p**8\/1176 + p**7\/735 - p**6\/420 - p**5\/210 - p**2. Factor o(x).\nAnswer: 2*x**2*(x - 1)*(x + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -567669*v**2 - 1792867?\nAnswer: -1135338*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 18 = 5*l. Solve 5*w = -0*w - l*b + 9, -3 = 2*w - b for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6609, -6610, -6609, -6606, -6601, -6594, -6585?\n\"Answer: u**2 - 4*u - 6606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1063 a factor of 9741332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*d + 74*d + 65*d + 60*d - 262*d - 2*d**3.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.3 (b) 4 (c) -0.086\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*q - q + 11*q)*(-q + 4*q + 0*q)*(q + 2*q + 0*q)*(-6*q + 2*q + q)*(0 + 2*q + 0)*(-3 + 0 + 2).\nAnswer: 216*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27 + -22. Suppose -171 = -2*n + 3*j, 0*n = n + f*j - 118. Calculate the remainder when n is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -369 - -4bcc0?\nAnswer: 4b955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (736*49\/1960)\/((-4)\/(-10))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 4 (b) 3\/2 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (1 - 2 - 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 123211979 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -171588408, -171588406, -171588404?\nAnswer: -171588402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 smaller than -12\/113?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.3 + -0.3. Let k = -17583.489945 - -17588.49. Let v = r - k. What is v rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 5*c = -10 - 2, -5*c + 10 = 5*x. Let s be ((-15)\/(-12))\/(x\/(-4)). Let v be 0\/(-2)*(-4)\/12. Solve 0 = -v*p + p + s for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 36, -23, 211 in increasing order.\nAnswer: -23, 36, 211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**3 + 0*k**3 + 0*k**3 + (-2*k**2 + k - k)*(-1 + 1 + 2*k) + 2 - k**3 - 2 - 2*k**3 - 23*k + 7*k + 7*k.\nAnswer: -6*k**3 - 9*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 + 19*b**2 - 58*b - 7. What is l(11)?\nAnswer: 323","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60 is divided by 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -0*y + 5*y - 15, -3*y + 8 = -m. Sort 4, y, -3 in decreasing order.\nAnswer: 4, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -80234, -80142, -80050, -79958, -79866?\n\"Answer: 92*y - 80326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l**2 - l**2 + 3*l**2)*(-2*l**2 + 4*l**2 + 4*l**2).\nAnswer: -6*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (14\/(-6))\/(1785\/(-7650)). Solve -10*u + 5*u + i = -4*a, -12 = u + 2*a for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43 + 44 = -29*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 77\/28 - (-2)\/8. Suppose -m*y + 44 = -r + 3*r, -4*y + 5*r = -74. What are the prime factors of (y\/(-6))\/(3\/(-9))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1500538 (base 12) to base 3\nAnswer: -21221221201022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**5 - 3*w**5 + 5*w**5 - 3*w - 3*w**5 + 3*w + (-5*w**3 + 3*w**3 + 0*w**3)*(7*w**2 + 6*w**2 - w**2).\nAnswer: -26*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of -419*k**2\/2 + 43*k - 59. What are the prime factors of b(-3)?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 198*m - 23. Is v(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 32 - 60 = 0. Let l = w - -1. Calculate the remainder when 69 is divided by l.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8\/(-9))\/4 - (-8)\/36. Suppose t = -5*s - 15, -3*s + 3 = 4*k - 0. Solve -3*p - k*h + 10 = -2*h, -2 = -3*p + h for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3327328 or 3327327?\nAnswer: 3327327","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 349110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40179?\nAnswer: 3, 59, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 + 11*j + 4. Let h be y(11). Let u(c) = -c**2 - 3*c + 5. Let w be u(h). Let r = 41 + w. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1547540 times 9.9?\nAnswer: 15320646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5028 - 5023. Solve 0 = -5*t - 2*y - 1, -2*y = -140*t + 141*t + u for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate t**2*v**2 - 23*t**2 - 1726*t - 7*v**3 - 26964*v with respect to v.\nAnswer: 2*t**2*v - 21*v**2 - 26964","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-10)*a**(1\/4))\/(((a\/(a**(-2\/7)\/a)*a)\/a)\/(a*a\/a**4)) assuming a is positive.\nAnswer: a**(-393\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 17*i**3 + i**2 - i. Let l be f(2). Let p be (-1)\/(5\/2)*-15. Suppose 3*v - 3*t - 108 = -p, l = 4*v - 3*t. Is 18 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -198 (base 16) to base 7.\nAnswer: -1122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 o when four letters picked without replacement from {g: 12, o: 3}.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, o: 2, a: 2, q: 3, e: 4, k: 2}. Give prob of sequence qo.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, 57, -0.1, -2, -3?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 309 + 168?\nAnswer: 477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aahl when four letters picked without replacement from {a: 3, v: 1, u: 2, h: 3, l: 2, t: 3}?\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 7770, 7925, 8174, 8517, 8954, 9485, 10110?\n\"Answer: 47*l**2 + 14*l + 7709","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 3*g**3 - g**2 - 10*g - 89. Calculate j(-6).\nAnswer: -713","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-75*(-143)\/(-21450))\/((-2)\/(-268))?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/3)\/((-40)\/30)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ou when two letters picked without replacement from {t: 3, u: 1, k: 2, o: 3, s: 3, e: 1}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of d**5\/20 + 5*d**4\/24 + 7*d**3\/6 - 2*d**2 + 145. What is the hundreds digit of f(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (-3)\/((-261)\/(-273))) + 9\/(-63)*7.\nAnswer: 4\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 7\/5 (c) -8 (d) 0.54\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 266\/(-8)*(-3793)\/56895*60\/(-14).\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1201 (base 3) in base 16?\nAnswer: 2e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1735394 at least as big as -5\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of 9*o**8\/28 - 7*o**4\/4 - 8*o. What is the third derivative of m(d) wrt d?\nAnswer: 2160*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (31\/2)\/(-7 + (-135)\/(-18)). Let x = i + -29. Solve a = x*a - 5 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i - 1. Let a be s(4). Let t = a - -7. Calculate the least common multiple of 1 and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.5 and 17291470846957?\nAnswer: 17291470846957.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 12565904, 12565909, 12565914?\n\"Answer: 5*f + 12565899","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -86070*n*p**3 - 4*n - 1374*p**3 + 3597250*p wrt p.\nAnswer: -516420*n*p - 8244*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1711 = 94*v + 1617 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-5 + 0) - 442\/(-910).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*s**4 - 50895*s*x**3 + 183598*x**3 wrt s?\nAnswer: -16*s**3 - 50895*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mfmrkcrv. What is prob of sequence fk?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 minus 390138?\nAnswer: -390138.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 + -1 - (90 + (90 - 203)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 - -5) + 416\/2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -45.1 + -1.9. Let f = 23 + r. Let x = 23.99999982 + f. What is x rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -193 - -198. Find the second derivative of -72*b**p + 27*b + 23*b - 3*b + 0*b wrt b.\nAnswer: -1440*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a millennium in years?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88 is divided by ((-66)\/(-4) + 0)*(122 + -118)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of l**5\/10 - 4*l**4\/3 - l**3\/3 + 19*l**2\/2 - 4*l. What are the prime factors of t(9)?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -761, -1503, -2227, -2927, -3597, -4231, -4823?\n\"Answer: x**3 + 3*x**2 - 758*x - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4041 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 957, -84, 3, 0.1 in descending order.\nAnswer: 957, 3, 1, 0.1, -3, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-94)\/(-94)*(-13 + 1)\/2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -0.0129?\nAnswer: 0.0387","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/19, -2902, 2\/527, 3 in decreasing order.\nAnswer: 3, 2\/19, 2\/527, -2902","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 5, -44, -10, 10 in ascending order.\nAnswer: -44, -10, -5, 0, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -4*a - 33. Determine g(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1634867.388ns in weeks?\nAnswer: 0.00000000270315375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 694153.8 millimeters?\nAnswer: 0.6941538","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-4) - -6*(-4)\/(-80)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 126111 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 29794332187 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 50*a**3 + 8617 - 8617 + (1 - 1 - 2*a)*(0 + 2*a**2 + 0) - 2*a**3 - a + a + (2*a**2 + 0*a**2 + 0*a**2)*(-a + 0*a - a).\nAnswer: 40*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n**2 - 25*n + 64. Calculate t(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1002120010021011 + 0?\nAnswer: -1002120010021011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.8378 + -3.3878. Which is bigger: 32 or b?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 75, 125, 177, 231, 287, 345, 405?\nAnswer: 467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 d when two letters picked without replacement from ddwwddwwddd.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 685 - 690.13. Let o = -4.9 - k. Let q = o - 0.73. Which is the third smallest value? (a) 0 (b) 7 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9262091 by -2.\nAnswer: 9262091\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -1381.\nAnswer: -5\/1381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 5 - 3 - 3)*(59*f + 72*f + 36*f).\nAnswer: 501*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h - 7. Let a(k) = -2*k**3 - 88*k**2 + 91*k + 34. Let f be a(-45). Let y(r) = 14 - 16*r + 7*r + 5*r. Give f*s(l) - 6*y(l).\nAnswer: 2*l - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of 5*z**4\/12 + z**3 + 2*z**2. Let c be l(6). Suppose 63 + c = 3*p. What are the prime factors of p?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -p**3*s**2*u + p**3 - 3*p*s*u**2*x - 121*s**2*u**2*x + 3*s**2*x - 2*s*u*x - 2*s - 18*u**2 wrt s.\nAnswer: -2*p**3*u - 242*u**2*x + 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(325) + sqrt(325) + 1*sqrt(325))*3 - sqrt(325))**2 + (sqrt(325) - 5*(-2 + sqrt(325))))*2.\nAnswer: -40*sqrt(13) + 41620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5523 + -11027\/2. What is the common denominator of -20\/41 and t?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*l + 0 + 0*l**2 + 1\/7*l**5 + 2*l**4 + 0*l**3 = 0. Calculate l.\nAnswer: -14, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -726*b**2 + 4*b + 1. Let j be p(-3). Let f be (-6)\/81*(j - -5). Let y = f + -17713\/36. Calculate the common denominator of y and -33.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -101*g + 3*g**2 + 47*g + 2*g**4 + 52*g + (-9 - 6 + 4)*(4*g**4 - 3*g**4 + 8*g**4) to t + s*g**2 + n*g**3 + l*g**4 + c*g and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 - 3*b + 7. Let o = 4 + -6. Suppose f + 3 = -0*f. Let d(y) = -y**3 - 4*y**2 - 3*y - 7. Let i be d(f). Let z(q) = q - 2. What is i*z(c) + o*s(c)?\nAnswer: -2*c**3 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3973, -7352, -10729, -14104?\nAnswer: -17477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*k - 3*k**2 - 2*k - 3*k)*(-2*k**2 - 2*k**2 + 5*k**2)*(2*k - 2 + 2).\nAnswer: -6*k**5 + 2*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 15 = 3988*j - 3993*j, 0 = -5*p - 24*j + 71 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -9 + 12*l**2 - 8*l + 3*l**3 - 2*l**2 - 4*l**3. Let f be p(9). Let c be 0*(2 - (f + 3)). Which is bigger: c or -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1133 + 2284 + 2262*d - 1151 in the form n + i*d and give i.\nAnswer: 2262","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 0)*(11 - 13 - 8 + (5 + 0 - 3)*(2 - 1 + 1) + 1 - 2 + 0)*(-4*s + 4*s - 2*s).\nAnswer: -14*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 831*a**3 - a**2 + 4*a + 6268.\nAnswer: 2493*a**2 - 2*a + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 - 10*h + 12. Let r(m) = 3*m**2 + 21*m - 24. Let i(v) = -5*k(v) - 2*r(v). Let o be i(6). Solve -4*w + 22 = -2*y, 2*y + 16 = -o*y + 2*w for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bpbi when four letters picked without replacement from {b: 2, i: 1, e: 2, p: 6}.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -10*v - 13*v + 10 + 22*v. Let s = 3 + 2. Determine r(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-1\/35)\/(t*t*t*t**4)*(t\/((t*t**1\/t)\/t))**(-5\/3) assuming t is positive.\nAnswer: t**(-913\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 7)*(0*s - s - s)*((5 - 1 - 2)*(-3 + 1 + 1) - 2 + 3 + 1 + (1 - 3 + 1)*(2 - 6 + 0)).\nAnswer: -40*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 67 - 63. Calculate the remainder when 122 + -8 + t + -3 is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 36*h - 145*h + 9374. What is the remainder when 599 is divided by h?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*r - 35*r = -3*h - 6, -3*h = -r - 30 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -761 (b) -2\/13 (c) -3 (d) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-18) + 643124\/(-54)*-519. Let n(r) = -1481136*r. Let w be n(-1). Let i = w - m. Round i to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 3*w + 6 = 0, -2*d - 4*w - 20 = -12. What is the closest to d in -1, -7, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3011699083?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -l + 2, -3*l + 20 = -3*j + 4*j. Let t(w) = 0*w - 6*w - 5*w + l*w. Let k(x) be the third derivative of -x**5\/20 - x**2. What is k(t(s))?\nAnswer: -48*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 3168*l - 10 = 3169*l, -3*l - 16 = -4*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 732731 is divided by 201.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-7)*u)\/u*u**0*(u*u*(u\/(u**3*u))\/u)\/((u*u*u**(-5))\/u) assuming u is positive.\nAnswer: u**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-354)\/(-236) + (0 - 2\/(-4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/sqrt(11) + 1 - ((sqrt(2) - sqrt(72))*-5)**2.\nAnswer: -1249 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*i - 10 + 10)*(-1 + 3 + 4*i**2 - 2*i**2).\nAnswer: -18*i**3 - 18*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 4*f = -2*z + 14, 5*f + 37 = 2*z. Let s be ((-9)\/z)\/((-3)\/4). Solve s*c - 2 = 2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 196 + -196.1. Let q = 0.4 - 2.4. Let m = 8 + -8. What is the closest to 1 in j, m, q?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00009211 rounded to six decimal places?\nAnswer: -0.000092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 + 30. Suppose -3*k = f - r, -f + 5*f = 3*k. Solve k*w - 16 = -0*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o**3 - 2*o**2 - o. Let q(s) = 61*s**2 + 63*s**2 - 125*s**2. Calculate -3*q(v) + w(v).\nAnswer: 2*v**3 + v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 18098981 or 18098972?\nAnswer: 18098981","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(192) + sqrt(192))**2*3 - (sqrt(192) + (sqrt(192) + -1 - sqrt(192)) + -4 + sqrt(192))) + (5 + sqrt(192) + 4 + 4)**2.\nAnswer: 96*sqrt(3) + 2673","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 + 4*c + 6. Give f(5).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1343 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.8, 2\/9, -1, -2\/3?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -814.9 + 815. Let m be (1\/(16\/18))\/(-3). Which is the closest to -2\/13? (a) -1\/3 (b) h (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 is divided by (0 - (-4 + 7))*-5.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 24225, 96977, 218223, 387957, 606173?\n\"Answer: -x**3 + 24253*x**2 - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3084084307 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + ((-24)\/14)\/(39\/((-3276)\/(-8))).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 876 and 59276.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -2\/5*l**3 + 1\/5*l - 4\/5*l**2 + 2\/5 + 1\/5*l**5 + 2\/5*l**4 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 2\/11*v**2 + 142\/11*v + 536\/11 = 0.\nAnswer: -67, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4432999.69 rounded to the nearest one hundred thousand?\nAnswer: -4400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 4*g - 128 = -6*b, 0 = 3*g + 12. Suppose -b*q = -55*q + 14. Suppose -2*h + 2*c + 12 = 0, -h - 6 + 0 = 3*c. Solve h*s = -q*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 632.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s + 1. Let v be p(-18). Suppose -5*b + 6*c + v = 5*c, 5*b = 3*c + 17. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6161826 (base 9) to base 15\nAnswer: 44e55c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 l when two letters picked without replacement from ell?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.11 in -38, -2\/3, 2\/9, 1\/7, -1\/5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 PM and 11:15 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82171926?\nAnswer: 2, 3, 4565107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, -1, 0, 10 in increasing order.\nAnswer: -1, 0, 2, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.11 + -0.99. Let n = d + 1.5. Let f = 1654 + -1653. Which is the closest to -1\/4? (a) f (b) 6 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hf when two letters picked without replacement from {h: 6, f: 1, l: 4}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/9683310 and 83\/2145?\nAnswer: 106516410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**2 + 705*d - 2088.\nAnswer: -3*(d - 232)*(d - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*h - 4*z - 6, h + z + 4 - 1 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-63)*(-5)\/((-50)\/(-10)))\/((-806)\/(-182))\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7 (b) -21 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -203 + -4?\nAnswer: -207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -57038, -114082, -171126, -228170?\nAnswer: -285214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5081 - -9165. List the prime factors of a.\nAnswer: 2, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6812179683 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a005 + -36?\nAnswer: 9a7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(5\/3)\/(n\/n**14) assuming n is positive.\nAnswer: n**(44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 6*y**2 + 5 - 4 - 713*y + 564*y to c*y + j + m*y**2 and give c.\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1708.\nAnswer: 2, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -5 + p**3 + 0*p + 3*p - 5*p**2 - p**2 + 0*p. Calculate the remainder when r(6) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 PM and 5:23 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express o + o + 2*o + (-3*o + 6*o - o)*(0 + 0 + 6) - 105*o - 122*o + 284*o in the form b + f*o and give f.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1604807238849 less than -1.9?\nAnswer: -1604807238850.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of w**5\/20 - 3*w**4\/4 + w**3\/3 - 4*w**2 + 2*w. Let s be n(9). Let t(r) = 3 + r**2 - s*r - 3 + 5 + 2*r. Determine t(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -153 (base 16) to base 12.\nAnswer: -243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5649 by 6.\nAnswer: 1883\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 3*n = 12, -5*w - n - 4 = -0*w. Suppose 5*t + s - 48 = w, -t - 5*s + 4 = -2*s. Calculate the remainder when 58 is divided by t\/1*(-6)\/(-2).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149 is divided by 141?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 143*l - 33. Let r(i) = 22*i - 5. Let g(w) = -5*j(w) + 33*r(w). Let o(z) = -2*z. Calculate o(g(b)).\nAnswer: -22*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -384344*t - 81*t**2 - 384350*t + 1537389*t - t**3 - 384350*t - 384345*t.\nAnswer: -t**3 - 81*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*k - 2920 = 12*k. What is the derivative of -9*f - 15*f + 351 - k wrt f?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*d - 2664 = 54*d. Let f = d - -184. Is f a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p - 17. Let v be h(16). Suppose -10*s + 1375 = v*s. What is the greatest common divisor of 66 and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, -2\/7, 2, 1 in decreasing order.\nAnswer: 2, 1, -2\/7, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(17) - sqrt(204)\/(sqrt(24)\/sqrt(2)))*5 - (-3 + (1*sqrt(153))**2)) + 4.\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 - 8*l + 10. Let c = -14 - -21. Let h be z(c). Suppose -10 = -h*i + 4*m + 10, 5*i - m - 22 = 0. Solve -4*n - n = g - 9, -8 = -i*n for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -26*1 - (1 - 2). Let o = -4 - b. Suppose -o = -2*l + 11. Calculate the least common multiple of l and 9.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, w: 7, c: 9}. Give prob of sequence llcl.\nAnswer: 3\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -30\/36227711 and -51\/8.\nAnswer: 289821688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1455 is divided by 235.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1506*((-3)\/(9\/2) + 1). What are the prime factors of 1 + 1 + 0\/(-7) + r?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 60*k**2 - 4*k + 3. Let i(r) = -33*r**2 + 2*r - 2. Give 5*i(b) + 3*y(b).\nAnswer: 15*b**2 - 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of 9002 and 1473530663.\nAnswer: 1473539665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 95 - ((-4 - -5) + -28 + 47 - 4)?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 - ((-5 - -3) + 1 - 2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 34*j**3 + 37*j + 122*j**3 + 2.\nAnswer: 88*j**3 + 37*j + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 5\/204?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-116)\/(-40)*2 - (-2)\/10.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*l - 1042 - 46 = -12*l + l for l.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -170, 4, 2, 69, -5.\nAnswer: -170, -5, 2, 4, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2037*h + 187372. Determine m(-92).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2. Let a(f) = -2 - 3*f - 3*f + 5*f. Let l be (1 + -3)\/(2\/(-14)). Let j(g) = -4*g - 7. Let c(r) = l*a(r) - 4*j(r). Give c(s(x)).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + 24c67d?\nAnswer: 24c680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 3*n + n**2 + 9 - 3*n**2 - 18 + 5. Determine v(3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 16*j + 7. Let i be l(-7). Let y = -150 - i. Let t = 72 + y. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -113.000804 + 113. Round h to four dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(2\/3))**31)**(-8)\/((o\/(o**(-1\/4)*o))**(-2\/11))**43 assuming o is positive.\nAnswer: o**(-10783\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/15 + (-996)\/10. Suppose s = 3*v - s - 11, 0 = 5*v - 4*s - 17. Let z be (v + -4)\/((-2)\/w). Solve -2*x + 3*q - 5 = 0, 5*x = -0*q - 5*q + z for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -101 in 1, 19, 0.12, -8, -2, 0.27?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pcxxfdcs. What is prob of picking 1 s and 1 d?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 divided by -40?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3141 is divided by 1421.\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add -6.23 and 0.82808.\nAnswer: -5.40192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10524?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b90b235 - -9?\nAnswer: b90b242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*c - 1014 = 10*c - 54*c for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 6:14 AM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -727 (base 9) to base 5\nAnswer: -4332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 2\/5, 1, 1\/11, -24, 0.7, 24\/31?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of -g**6 - 64*g**5\/5 - 46*g**4 - 76*g**3 - 65*g**2 - 28*g + 7. Let l(t) = 0. What is t?\nAnswer: -7, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-304)\/280 + (-8)\/(-28).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(22) + (sqrt(88) - sqrt(22)))\/sqrt(11) - 6*(-1 + sqrt(200))) + (sqrt(2880) + -2*sqrt(2880))\/(2*-2*sqrt(10))*2)**2.\nAnswer: -720*sqrt(2) + 7236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 15.63, 0.5, -2\/3, -0.1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 976 and 366.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44354 and 60903.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 4515*c + 686325. Calculate v(-152).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -u - 1102 + 10*u**4 - 542 + 4*u**4 + 27*u**4 wrt u.\nAnswer: 164*u**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8811 + 20043 = 14*g. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50528621903 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -28*(-15)\/(840\/16)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 391369?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31978136 and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 80\/77 - (1 + 2\/(-14))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 619*q + 10 = 624*q. What is the least common multiple of q\/3*(-33)\/22 - -49 and 56?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 37 + -36.5992. Let q = -5 - -4.6. Let s = q + g. Round s to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -176041259 + -54.78.\nAnswer: -176041313.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 324\/(-60))*(-5)\/(-2)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p**3 + p**2 - 96 - 8*p - 8*p**2 + 89. Let t be r(7). Suppose 0 = -9*b + t + 125. List the prime factors of b.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 3*n**2. Suppose -5*w = 7*s - 3*s + 8, -4*s - 8 = -2*w. Let v(t) be the first derivative of -2\/3*t**3 - 2 + w*t + 0*t**2. What is c(v(g))?\nAnswer: 12*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -1, -5, -3, 3, 17 in decreasing order.\nAnswer: 17, 3, -1, -3, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.04 and -32.4972.\nAnswer: -32.4572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -100941, -100942, -100943, -100944, -100945?\n\"Answer: -r - 100940","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 AM and 6:42 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of 0*u**3 - 11\/24*u**4 - u**2 + 0*u + 0. Let n(m) = -3*m + 45. Let r(o) = 2*o - 25. Let p(f) = -5*n(f) - 9*r(f). Give x(p(b)).\nAnswer: 33*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 736 divided by 8\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*6*(0 + 3 + sqrt(1900) + sqrt(1900) + sqrt(1900) + -4*sqrt(1900) + sqrt(1900) + sqrt(1900) + 5*sqrt(1900) + 3)**2.\nAnswer: -2463696 - 25920*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**8\/h**(-1\/13))\/(h**(2\/11)*h**(-1\/5))*(h**(2\/3)*h**(1\/10))**(-32) assuming h is positive.\nAnswer: h**(-7052\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -3*j - 0*d + 252, -312 = -4*j - 4*d. Let f = 83 - j. What is the lowest common multiple of f and 11?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (0 + 6*-1*6*(sqrt(468)*2*3 - sqrt(468))*2)**2.\nAnswer: 60652796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -242*m = -2*o - 246*m + 87294, -87324 = -2*o + 2*m. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19 - (-26 + 57)) + 26?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 56*a**4 + 11*a**3 - 555*a**2 wrt a?\nAnswer: 1344*a + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.11 - 22.89. Let s = 23.0000146 + j. Round s to 6 dps.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 3*m**4 - 51*m**3 + 189*m**2 - 81*m - 324 = 0.\nAnswer: -1, 3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1766, -3586, -5404, -7220?\nAnswer: -9034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 5*c**2 - 8*c + 3. Let q(x) = -9*x**2 - 1440*x - 5 - 1447*x + 4354*x - 1452*x. Determine 11*n(b) + 6*q(b).\nAnswer: b**2 + 2*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 + 8*o**2 - 2*o + 9. Let c be m(8). Let i(n) = -n**3 - 8*n**2 - 6*n + 9. Determine i(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 31 = 3*x - i, 0 = 5*i - 10. Let r be (-3)\/x*(68 + 1). Let p = 35 - r. What is the greatest common factor of p and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g - 2*g + 4*g**3 - g**3 + (18*g - 18*g + 2*g**2)*(3 + 2*g - 3).\nAnswer: 7*g**3 - 4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 - 31. Let v = -9 - o. Calculate the smallest common multiple of 6 and 0 + v + -1 + -1.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*c**4 + 454972*c - 282355 wrt c.\nAnswer: -8*c**3 + 454972","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/(-7 + 3) - 3. What is the closest to w in 0.9, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**3\/7 - 264*g**2 + 156312*g\/7.\nAnswer: -2*g*(g - 78)*(g + 1002)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (35\/(-5) + (51 - 39))\/(-13)?\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5488\/4116*(-5)\/((-55)\/(-9))?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 411966 and 28280703?\nAnswer: 7629","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -352 - 147417?\nAnswer: -147771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (5557\/5)\/(8\/120) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1208 is divided by 199.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2654*g - 2829*g + 334*g = -1083*g - 195168 for g.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4809544*l**3*n**3 + 27*l**3*n**2 + l**3 - 18325675*l**2*n**3 - 3*l**2 wrt l?\nAnswer: -28857264*n**3 + 162*n**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1709373 to three decimal places.\nAnswer: -0.171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = -2*k + 10, 0 = -30*k + 29*k - 4*d + 5 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z = -5*z + 4. What is the second smallest value in 0.4, z, -6?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -14 + 4 + (50 - 51)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 + 4*p. Let i(b) = -1490*b**3 + 9*b**2 + 3*b. Let w(x) = i(x) - 9*o(x). What is the second derivative of w(c) wrt c?\nAnswer: -8940*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 + 0 - 6 + 13 - 4*r. Let s be f(-6). Put 1, -1, s in descending order.\nAnswer: 1, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1729.222594 to 0 decimal places.\nAnswer: -1729","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -669 - 26*g + 759 - 46*g to the form n*g + j and give n.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (-26)\/(-99)*-15)*(-5)\/(-5).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 255179 (b) -3 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 539 a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + 22243?\nAnswer: 22242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together -13587 and 0.01.\nAnswer: -13586.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 508074167 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 o when three letters picked without replacement from oozzoz?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (44\/(-20))\/(4\/(-20)). Suppose y = j*y - 300. Does 3 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-1\/4))\/(r**(-2\/21)\/r))\/(r**(2\/3))**(-35) assuming r is positive.\nAnswer: r**(705\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/24 and -39\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12 or -94\/21997?\nAnswer: -94\/21997","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v + 15. Let t(y) = 20 - 21 - 2. What is 2*o(j) + 11*t(j)?\nAnswer: 2*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.2, -0.05, 5, 2\/19?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 178 = -2*a - 0*a, u - 4 = 0. Calculate the remainder when 2*3\/36*2*a is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 115, 1, 0 in decreasing order.\nAnswer: 115, 3, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 64 + 66. Calculate the remainder when y is divided by 17\/(7\/(35\/5)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 5*n - 39 = 0. Let k(f) = f**3 + 6*f**2 - 2*f - 8. Let j be k(-6). Suppose 57*o = 58*o - j. What is the remainder when n is divided by o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1528, 3074, 4622, 6172, 7724, 9278?\n\"Answer: n**2 + 1543*n - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5610, 11221, 16832, 22443, 28054?\nAnswer: 33665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 5*k - 88 - 38, -3*k = 3*x - 81. Let r be k\/16*148\/3. Suppose 82 + r = 3*a. What are the prime factors of a?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 84 = -3*b - 2*n, -3*b + 93 = -5*n. Is 13 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 102 and 54?\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -15*d + 1. Suppose 5*n = s - 3, -2*s + 3*n - 8*n = 24. Let y be b(s). Suppose y = v + v. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (158\/(-632))\/((-10)\/(-16))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 202*m**3 + 991*m**3 + 173*m**3 + 228*m**3 - 77*m**3.\nAnswer: 1517*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(7) - (1 + sqrt(7) + 4 + sqrt(7))) + 1.\nAnswer: -4 - sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40452207?\nAnswer: 3, 43, 313583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 3*k = 5*u + 3, 5*k - 5 = -2*u. Suppose u = -2*h + 4*j + 72, -5*j + 68 = 3*h - 3*j. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 20 + 2)*(-10 - 7 + 11)*(2*k + 3*k - 2*k)*(-3 - 1 + 5) to the form d + l*k and give l.\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2342975*j - 175366?\nAnswer: 2342975","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1938, -8241, -18750, -33465?\n\"Answer: -2103*r**2 + 6*r + 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 91454021 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 4*a - a + 122, -20 = 5*a. Let h(u) = u**3 + 7*u**2 + 8*u + 12. Calculate the smallest common multiple of v and h(-5).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -44168.539 and 2040.\nAnswer: -42128.539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1711*f = 4138*f - 33978 for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z**2 - z + 1. Let i(b) = -25*b + 2. Let p be i(-1). Let m be (((-48)\/(-27))\/(-4))\/((-6)\/p). Calculate y(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101 is divided by 0 + -3 + 15 + 14?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j + 14. Determine y(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 + 6 - 5) + 0 + 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -2 (c) 204071\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1207803283 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + (2\/(-1))\/2. Let u(y) = 3*y - 44*y**2 + 15 + 52*y**2 + y**3 + 9. Let h be u(-8). Solve h - 9 = p*s - 5*r, 3*r - 3 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2 + 13996*g - 48972004.\nAnswer: -(g - 6998)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1*16\/(-12)*46\/46\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 49426.58249 rounded to the nearest one thousand?\nAnswer: 49000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbbbb. Give prob of sequence bb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 216 and 115312.\nAnswer: 3113424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/3 (b) -126.9282 (c) 98\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, e: 1, v: 4}. What is prob of sequence bve?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -51 + 56. Solve -2*p - 3*o + 4 = -10, 0 = k*p - o - 18 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 + 4*x**2 + 14*x - 12. Let o be p(6). Let q(g) = -3*g**2 - g**2 + g**3 + 5*g**2 - g + 12. Determine q(o).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 8*v - 8. Let r = -17 - -18. Let t be i(r). Which is the closest to -0.1? (a) t (b) 2\/5 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*s + 2679 + 1011. Calculate the remainder when s is divided by 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -11. Let c = 21 - x. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(12)\/(sqrt(6)*1).\nAnswer: sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -3*j + 4. Suppose 3*f = 4*y - 1225, -j*y = 2*f - f - 615. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 53, -0.2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 7, -0.4 in decreasing order.\nAnswer: 7, -0.4, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(4*sqrt(190) - sqrt(190)) - sqrt(190))\/(sqrt(90)\/sqrt(225)) + (-5*(sqrt(19)*-1*-3 + 3 + -1 + sqrt(19))*6)**2.\nAnswer: 14320*sqrt(19) + 277200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.7 - -0.055.\nAnswer: -4.645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (2 - 1) - -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -60, -11, 5.\nAnswer: -60, -11, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50612606?\nAnswer: 2, 11, 19013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 424827972 and 199.3?\nAnswer: 424827772.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -34031 (base 6) in base 4?\nAnswer: -1022203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dv when two letters picked without replacement from kckwwvwwkdewvkkw?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 598592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + 1523*l**3 - 1513*l**3 + 12*l - 3)*(-8 - 5 - 2).\nAnswer: -150*l**3 - 180*l + 45","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w - w - 3*w)*(6*w - 5 + 5)*(1 - 2 - 3).\nAnswer: 96*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 223 = -5*r + 302, -4*v + 28 = 0. Let q(g) = 3*g**2 - 5*g + 3. Let a be q(3). Suppose r*z - a = 11. Which is greater: z or -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of -5*i**8\/112 + 2*i**5\/15 - 7*i**2 - 13*i. Let l(s) be the first derivative of y(s). Find the third derivative of l(x) wrt x.\nAnswer: -900*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 + -3 - 0) + (-2 - -1). Let h(p) be the second derivative of -p**3\/2 - 5*p**2 - 11*p. What is the remainder when 38 is divided by h(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/120 and -113\/22295304?\nAnswer: 111476520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3643 is divided by 81?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -361*h + 365*h + 100 = -19*i, 15*i = -3*h - 75 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, d: 8, u: 1, g: 1, l: 1, t: 2}. Give prob of picking 1 x and 1 g.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 h when two letters picked without replacement from {h: 11, j: 4, m: 3}.\nAnswer: 11\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19732 - -19732.1. Let h = 0 - 0.2. Let f = -0.8 + 0.3. Which is the biggest value? (a) -0.6 (b) h (c) f (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/(-4))\/((-25)\/(-19100)). Let k = 591 + f. Calculate the greatest common factor of 19 and k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 31.67 to the nearest integer.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -24144*f + 772605. Determine u(32).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of -n**6\/24 + 3*n**3\/2 + n**2\/2 + 3*n. Let p(c) be the first derivative of a(c). What is the first derivative of p(d) wrt d?\nAnswer: -15*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -4. Put q, -1, -10 in ascending order.\nAnswer: -10, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5634 + (1 - -2) - (-33 + 45).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 93 and 16771.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -99746306*l**2*x**2 + l*x**2 - 33*l + 224474*x wrt l.\nAnswer: -199492612*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 490845873?\nAnswer: 3, 7, 23373613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mj when two letters picked without replacement from ddllddomljdoe.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + (-7 - -9 - -6) + -4.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - j = -10, 4*h - 50*j + 47*j - 18 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 526849437.\nAnswer: 3, 4721, 37199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.22 - 1395.78. Let g = n + 1395.8779. What is g rounded to two dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 4*q - 6*q - 41 = 0, 0 = 4*k - 4*q + 48. Let x = -77 - -53. Let a = k - x. What are the prime factors of a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8232136?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 439, -15, -23, 3, -4, 4 in descending order.\nAnswer: 439, 4, 3, 2, -4, -15, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 274*b*y**3*z + 2*b*y**2*z + b*y*z + 10*b*y - y*z - 2*z wrt y?\nAnswer: 1644*b*y*z + 4*b*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 334 is divided by 48.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/7 or 711187806?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.67 - -54.33. Let p = k + 32. Let d = p + -86.99902. Round d to four decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22050 divided by 1050\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.28 (b) -1717 (c) -0.3 (d) -3 (e) 1.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 12 = 4. Let m(t) = t**3 + 5*t**2 + 4*t - 3. Let d be m(f). Let r be d\/12*(1 + 1). What is the biggest value in -2\/15, -1, r?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - k + 2*k)*(-290 - 130 - 18 - 2*k).\nAnswer: -4*k**2 - 876*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -112*v**3 + v + 71 - 71 + (-3*v**2 + 0*v**2 + 2*v**2)*(-2*v + 1 - 1).\nAnswer: -110*v**3 + v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of 5*s**2\/2 - 2*s - 5. Let j(m) = 1. Let b(t) = -t + 4. Let a(n) = b(n) - 4*j(n). Give -6*a(l) - g(l).\nAnswer: l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 417 and 3058?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81748 divided by -13.\nAnswer: -81748\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 41.\nAnswer: 4\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*o + 428 = -272. Solve 0*j + 40 = o*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/28 - 17\/(-14). Let l(v) be the second derivative of 0*v**4 + m*v**2 + 0 + 0*v**3 + v + 1\/10*v**6 + 0*v**5. Differentiate l(q) with respect to q.\nAnswer: 12*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101*s + 101*s - 62808*s**3.\nAnswer: -62808*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cgh when three letters picked without replacement from hgfhgcfhffc?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -4*k - 21308*s + 21306*s, 2*s + 11 = k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 918?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 5 + 1)*(-2*j - 8 + 8)*(-8*j - j - 1 + 4*j + (-1 + 3 - 1)*((1 - 2 + 0)*(0 + 0 + j) + 1 - 2*j - 1 - 3*j + 4*j + 4*j)).\nAnswer: 84*j**2 + 28*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/7 in -11, -0.1, 2\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((c*c**5)\/c)\/c)\/((c**(2\/9)*c*c)\/c))\/(c*c\/c**(-1\/7)*c*c*c*c*c*c**3*c))**(-18) assuming c is positive.\nAnswer: c**(1054\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*k + 2*k. Suppose -8*z - 36 = -2*z. Let x be 44\/700 + z\/(-75). Which is smaller: k or x?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 28*a**2 + 77*a + 149. What is c(-2)?\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 65408 and 29127?\nAnswer: 3728256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 2*s**5 - 26*s**4 + 68*s**3 + 60*s**2 - 198*s - 162 = 0?\nAnswer: -1, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5418*b**3*c**3*z + 3060*b**3*c**2 - b**3*c*z**2 + 733*b**3*z**2 + 2360*b*c**3*z**2 + 2*c**2*z**2 wrt c.\nAnswer: 32508*b**3*z + 14160*b*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-2 + 4 - 7) - 3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20601*m - 62334*m + 20708*m + 20920*m.\nAnswer: -105*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(312)\/sqrt(6))\/sqrt(4) - (2 + sqrt(13) + -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g - 8. Let d be f(6). Let o(l) = -d - 4*l**3 - 6*l**2 + 5*l + 5*l**3 - 1. Let v be (-1)\/(((-3)\/(-15))\/(-1)). Determine o(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -3*s + q - 6*q, -5*s = -5*q - 30. Suppose -s = 3*p - 2*x + x, -2*p + 2*x = -2. What is the remainder when (-97)\/(-6) - p\/(-6) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -16*x**2. Let d = -240 - -241. Let o(m) = m + 1. Let j(u) = 15*u + 18. Let c(p) = d*j(p) - 18*o(p). Determine f(c(k)).\nAnswer: -144*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 2218?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*o + 4 = 82*o. Solve -2*y = -2*a + o, 3*a + 3*y + 0 - 15 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-3 + (sqrt(510)\/sqrt(160)*4)\/(3*((sqrt(9)*2)\/sqrt(3) + sqrt(3)))))**2.\nAnswer: -6*sqrt(17) + 746\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 + 10 = -7*v. Let j be 1 - (-4)\/((-4)\/(-2)). Let x = j + 0. Solve v = -x*l + 16 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 840263 is divided by 120035?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 45*b**2 + 52*b + 11. Let v(z) = 12*z**2 + 13*z + 3. Determine 6*u(f) - 22*v(f).\nAnswer: 6*f**2 + 26*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + (-368)\/(-4) - -1. What is the highest common factor of 23 and m?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -4*t + 58. Let p be (-9)\/(-1) + 3948\/1504 + 9\/24. What is the highest common factor of t and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 366 is divided by 31.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 3680*x + 66124. What is o(-18)?\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 356 (b) 0.4 (c) -2\/3 (d) 45 (e) 0 (f) -3 (g) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 72215888?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2868830200 rounded to the nearest 1000000?\nAnswer: 2869000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 657179293*z**5 + 356*z + 13801.\nAnswer: 13143585860*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-120)\/(-36))\/(4\/114). Is z less than or equal to 95?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/12)\/(2037\/(-350364))\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-24)\/d)\/d*d)\/((((d\/(d\/(d*d**(3\/17))))\/d)\/d)\/d)*(d**(1\/4))**37 assuming d is positive.\nAnswer: d**(-947\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 12*b + 8*b = 9, -4*d + 3*b + 5 = -8*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of -a**2 - a + 6. Let u be 8\/2*(-5)\/4. Let d(x) = 2*x + 1. Give u*s(r) - 6*d(r).\nAnswer: -2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 n when three letters picked without replacement from {n: 7, x: 1}?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27\/(-81))\/(2\/(-6)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 10327.\nAnswer: 41308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2734?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6694*j - 4010*j - 77836 for j.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2638453?\nAnswer: 569, 4637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -313890310 to the nearest one hundred thousand.\nAnswer: -313900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 201\/6 + -2 - (-5)\/(-10). Suppose 0 = -4*b - r + 54 + 1, -z = -2*b + 3*r. What are the prime factors of b?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/1032 and 31\/4348.\nAnswer: 1121784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**10\/(h**(1\/23)\/h)*(h*h**(5\/4))**(-20))**(-7\/5) assuming h is positive.\nAnswer: h**(5481\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -249 + 9*l**2 + 0*l**3 + 246 - 2*l**4 - l**3 + 7*l**2 as s*l + m*l**2 + n*l**3 + u*l**4 + j and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -7, 11, 1001\/8 in ascending order.\nAnswer: -7, -4, 11, 1001\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 330185 is divided by 61?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -8 - (-5957 + -18 + 3). Calculate the highest common divisor of 154 and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29341\/7 - 4200. Let b = -311\/6 + 53. What is the common denominator of k and b?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-10) + (-48)\/15. Sort -1, 5, 10, c in ascending order.\nAnswer: c, -1, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 28 - 4. Suppose -3*c + 10 = 5*m, -5*c = -c - 4*m + t. Suppose -5*y + 35 = 2*z, 5*y - 6*z + z = c. What are the prime factors of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*f**4 - 7*f**4 - 2*f**4)*(1 - 1 + 2*f).\nAnswer: -48*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i**2\/7 + 87*i\/7 = 0. Calculate i.\nAnswer: -29, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 238*w**6 + 2*w**4 - 1955*w**3 + 10925148*w**2 wrt w?\nAnswer: 28560*w**3 + 48*w - 11730","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -351 - -351. Is 2\/17 != b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s**3 - 7*s**2 + 4*s + 4. Let r be j(4). Suppose -r*w = -29*w - 112. Calculate the highest common divisor of 56 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 0.3 (b) 2\/9 (c) -0.1 (d) -9418.9 (e) 3\/2 (f) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 70 and 6.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.69 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m**2 - 2*m**2 - 2*m**2. Let p(l) be the second derivative of 31*l**4\/12 - l - 15019. Give p(k(i)).\nAnswer: 124*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12398098 to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from oeeeo?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 21*u**2 - 2*u + 1. Let d be s(1). Suppose -5 - d = -5*b. Is 2 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -3*r - 27, -318*r - 5*f - 50 = -314*r. Sort 3, r, 5, -10.\nAnswer: -10, r, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 756 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4269, 4389, 4627, 5019, 5601?\n\"Answer: 6*f**3 + 23*f**2 + 9*f + 4231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.14 - -0.14. What is the closest to -0.05 in n, 2\/19, 3?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/5 + 1274*y**2 - 2212336*y\/5 - 1790240.\nAnswer: (y - 334)*(y + 4)*(y + 6700)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -463, 5, -4 in decreasing order.\nAnswer: 5, 4, -4, -463","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z + 2*z + 27*z**2 - 82159*z**2.\nAnswer: -82132*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n**2 - 5*n**2 + 0*n**2 + (-237*n + 131*n - 149*n)*(0*n - 3*n + 2*n).\nAnswer: 253*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 3*y + 3554, -1841 = -r + 5*y + 1715. What is the thousands digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1084573.9 rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -1273 (b) -0.2 (c) 1\/4 (d) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5574710?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**3 - 650*p**2 - 30012*p = 0. What is p?\nAnswer: -41, 0, 366","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 64 and 6064.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 1, 2, -550, 0.\nAnswer: -550, -5, -4, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -1539*b - 26165. What is d(-17)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 61, 74, 95, 124?\nAnswer: 161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3389.11kg to grams.\nAnswer: 3389110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-1))\/(12\/8*26\/(-39))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/4002 and -107\/150.\nAnswer: 100050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of -b**2 + 29*b - 1258. Let a(h) = -6*h**2. What is a(k(u))?\nAnswer: -24*u**2 + 696*u - 5046","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 58046922 and 108?\nAnswer: 116093844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of -88*w**8\/7 + 673*w**5\/20 + w**4\/12 + 204*w**2 + 3*w - 3. What is the third derivative of p(c) wrt c?\nAnswer: -253440*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 13 + 2. Suppose -t + 11 = y. Suppose 3*i + 565 = t*i. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -16 - 146?\nAnswer: -163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2 - 129588*b.\nAnswer: 2*b*(b - 64794)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 19818?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - k = 0. Suppose 2*d - d - 20 = k. Let l(h) = 6 - d*h - 23*h + 41*h. Calculate l(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) 4\/3 (b) 0 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24 - -20. Let q be 3 + d\/8*4. Suppose 0 = 4*g - 3*g - 4. Which is greater: q or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v - 337 + 750 = 0. Calculate the remainder when 65 is divided by v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g + 18 = -0*g. What is the closest to -5 in g, 0.2, -0.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -89.69\nAnswer: -179.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2765, 2765, 2757, 2735, 2693?\n\"Answer: -r**3 + 2*r**2 + r + 2763","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -99*((-2)\/3 - 7160\/(-4296)).\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1519*a**4 + 1633*a**2.\nAnswer: -36456*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 1. Let x(p) = -7*p + 2. Let z(r) = 3*u(r) + x(r). Let c be z(-5). Let w = c + -19. Calculate the remainder when 62 is divided by w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0391289 and 24?\nAnswer: -0.9390936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 406540 divided by -1.\nAnswer: -406540","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of -z**5\/20 - z**4\/12 + z**3\/2 - z**2\/2 - 24*z. Let v = -4 + 4. Suppose g + 2*g + 9 = v. Give m(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 869825?\nAnswer: 5, 11, 3163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 PM and 6:22 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 + 6*f**2 + 3*f + 9. Let m(i) = 2*i**3 + 3*i**2 + 3*i + 4. Let b(x) = x**2 + 6*x + 6. Let d be b(-4). Let s be m(d). What is p(s)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/18 + (-100)\/(-36). Let v(l) = -l**2 + 7*l + 7. Let u be v(h). Let p be (3\/2)\/((-1)\/(-2)). Solve -5*r - u = p*z + 4, -3*z + 17 = -5*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1*sqrt(1152))**2.\nAnswer: -3456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**4 - 546*p**3 - 24507*p**2 + 25056*p.\nAnswer: -3*p*(p - 1)*(p + 87)*(p + 96)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 44*b*d**4*x - b*d**3 - 24*b*d**2*x - b*d*x - b*d - d*x - 2471*x wrt d?\nAnswer: 528*b*d**2*x - 6*b*d - 48*b*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -1214*h**2 - 44. Let c(j) = 416*j**2 + 15. What is -17*c(m) - 6*y(m)?\nAnswer: 212*m**2 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001933110239 to 7 dps.\nAnswer: 0.0001933","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -9*k**3 - 22*k**2 - 3*k. Let p(z) = z**3 - z**2 + z. Let h(y) = -3*p(y) - q(y). What is the third derivative of h(i) wrt i?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 AM and 8:51 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 245\/77 - 5\/(275\/10). Find the second derivative of -7 - 17*i - i**m - 51*i**4 - 22*i**2 + i**3 + 23*i**4 + 25*i**4 wrt i.\nAnswer: -36*i**2 - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3 + -2.7. Let r = l + 2.8. Let z = -43.9 - -44. Is z != r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8073 is divided by 95?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from swjsj. Give prob of picking 2 j and 1 w.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5620 is divided by 268?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 2*f + 32. Let x be f\/65 + (-24)\/(-156). Sort 2\/17, x, -3\/7.\nAnswer: -3\/7, x, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/36116 and -37\/32?\nAnswer: 288928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, n: 1, m: 3, v: 1}. What is prob of picking 1 n and 3 m?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -93, -1\/2, 1\/6?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-eight fifths of a century?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/24*-3*((-96)\/(-54))\/(-8).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -808, -1, 7 in ascending order.\nAnswer: -808, -1, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -10*p + 35. Let k be x(-13). Let t be -2 - (962\/(-15) - (-22)\/k). Round t to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 10*m - 17. Let n be (-20)\/(-6)*(m - 385\/75). What is the smallest value in -3, 0.5, -3\/4, n?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -36, -87, -178, -321?\nAnswer: -528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -204*l - 24. Let t(o) = 41*o + 5. Let u(n) = -5*m(n) - 24*t(n). Let f(p) = -2*p + p + 2*p. Determine u(f(x)).\nAnswer: 36*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -219001*g + 1. Let a(k) = -1. Let t(b) = 3*a(b) + y(b). Let z be t(-2). Round z to the nearest 10000.\nAnswer: 440000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 + 3*g**2 - 2*g - 3. Let m(a) = -2*a - 16. Let q be m(0). Let o = q - -13. Determine h(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3938 divided by -1637\nAnswer: 3938\/1637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 602 is divided by 154?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = c - 32. Let n(p) = -9*p + 8*p**2 + 9*p**2 + 3*p - 5 - 16*p**2. Let d be n(7). What is the greatest common divisor of d and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -3*m + 34. Let i be r(10). Differentiate -10*l**3 - 3*l**3 - 5*l**3 - 38 + i*l**3 wrt l.\nAnswer: -42*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1120, 2171, 3222?\nAnswer: 4273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - -27. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9535, -37967, -85331, -151609, -236783?\nAnswer: -340835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -58.99 - -0.99. Let d = 57.6 + c. Suppose -3*v - y = -2*v - 3, 0 = v - 3*y - 7. What is the nearest to 0.1 in v, d, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -27? (a) -3 (b) 1\/3 (c) 1\/5 (d) 1.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18464 and 338699.\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - 30 - 9 - 16)*(-3 - 1 + 1).\nAnswer: -6*j + 165","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -6*g. Let y(w) be the second derivative of -w**3\/3 - 6*w. Calculate y(l(c)).\nAnswer: 12*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1468 - -1472. Solve 3 = 5*w - 2*p - 4, -7 = -3*w + i*p for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 5*y = 3*d + 937, -2*y = 10. Let i = 195 + d. Let a = 111 + i. Solve z = 2*z + a for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1853, 1773, 1693?\n\"Answer: -80*j + 1933","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -85*c + 341103 + 394997. Does 49 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000157213123 to five dps.\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x**(-1\/2)\/x*x))**(-39))**(-7\/4) assuming x is positive.\nAnswer: x**(273\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13086 + 11181 = 4*u + 5*c, 2*c = u - 6070. Is u a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*s**5 - 5*s**4 - 17965*s**3 + 11033637*s**2.\nAnswer: -300*s**2 - 120*s - 107790","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-1912 - -1993) + -26 + 1\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -482, -2620, -6412, -11858, -18958?\n\"Answer: -827*p**2 + 343*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.29 in 0, -4, -0.3, -2.62, -2\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (10 - 6 - 2) + -1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 48 + -58. Let m = -15 - j. Let x(d) = -20*d - 3. List the prime factors of x(m).\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 - 28*q**2 - 3162*q - 434. Calculate o(72).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 PM and 5:13 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/5 (b) -2 (c) 2\/7 (d) -175\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52671 is divided by 2501?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -100, 5, 0, 117, -5, 3, 2 in increasing order.\nAnswer: -100, -5, 0, 2, 3, 5, 117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h - 3*h + h)*(0 + 5 - 2)*(9*h**4 + 13*h - 13*h).\nAnswer: 27*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 - 11*c - 7. Let z be i(10). Let g = 13 + z. Let v = 13 + g. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*l + 10*l = -176. Solve 27*r = l*r + 20 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of -m**3 + 3\/7*m**7 + 0*m**6 + 0*m**2 + 0*m**4 + 4 + 0*m**5 + 0*m. What is the third derivative of u(z) wrt z?\nAnswer: 360*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(3\/7)\/r*r*r)\/r*r**(-4))\/(r\/(r*r**(-7))*r**4))\/(((r*r\/(r\/r**(-6\/5)))\/r**(8\/7))\/(r**(-1\/4)*r**6)) assuming r is positive.\nAnswer: r**(-1047\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaaa when four letters picked without replacement from azfazfazzfaa?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 199?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 3*k**2 + 4*k + 8. Suppose 6*g - 10*g = 12. Let d be a(g). Suppose -16*i - 3353 = -d*i. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (-6 - (-30 - -8)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 1, -17, 483\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 46*d**4 - 68*d**3 + 97*d**2 - 3*d - 784.\nAnswer: 1104*d - 408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 3*n**2 - n. Let l be h(1). Let t = l - 0. What is the common denominator of 47*t\/(-8) + -3 and 25\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8.6+82\nAnswer: 73.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 31339 and 4144?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - 0) + -21 + 12 + 6?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33 - 24. Suppose -i*y - 1137 = -12*y. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23421*c - 261072 = -23433*c. Does 147 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*r - 16. Let s be 18\/42 - (-180)\/21 - r. Let y(v) = -v + 3. Let i be y(6). Are s and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-16*1)*4. Solve -p = -n - 1 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23193 and 243.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 14642363 + 2?\nAnswer: 14642365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -270, -3, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02874046 to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 1133*f + 2. Let t(d) = 1578*d**2. What is o(t(v))?\nAnswer: 1787874*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/1529 or -1?\nAnswer: -3\/1529","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1666 - 2?\nAnswer: 1664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 12:20 PM?\nAnswer: 7:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 84 - 79. What is the nearest to -0.2 in 0.5, -43, j?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2207*m + 852*m - 727*m.\nAnswer: -2082*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 0.5. Let j(v) = v - 1. Let z be j(0). Which is the second smallest value? (a) -0.2 (b) w (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -308*q**2 + 2*q - 3. Let s be d(2). Let l = s + 5787. Suppose -5*k = -l + 56. What is k rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 + 4*a + 5. Let f be b(-4). Solve -f = -4*c - 25 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v**4 + 91*v**3 - 185*v**2 + 93*v = 0. What is v?\nAnswer: -93, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4134691 is divided by 486?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 7874972?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/280 in -0.2, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o**2 - 4 - 7 + 11.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -2. List the prime factors of k + 0\/(-2) - -6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -191 - -291. Which is the biggest value? (a) 5 (b) u (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 + 14*s + 5. Let g be v(-14). Suppose 4*k = t - g, -2*k - 19 = -2*t + 3*k. Let f = -12 + t. List the prime factors of f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*i - 2935 + 270 = 0. Calculate the remainder when i is divided by 65.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -4*a**4 + 3*a**3 + 40. Let q(i) = -40 + 3*i**4 - 12545*i + 12545*i - 4*i**3. Let b(o) = 3*q(o) + 2*t(o). What is the derivative of b(g) wrt g?\nAnswer: 4*g**3 - 18*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express t**2 + 12*t**3 - 2*t**2 + 0*t**2 as h + m*t**3 + i*t + r*t**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/16 - (-324)\/(-48)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 150, 79339, 5 in descending order.\nAnswer: 79339, 150, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2930654201?\nAnswer: 2930654201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -95 - -97. Suppose -4*s - 10 = -j*m + 18, -3*s - 30 = -3*m. What is the third derivative of -17*d**m + 15*d**2 - 6*d**2 - 8*d**2 wrt d?\nAnswer: -2040*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -11*g + 6*g. Solve -3*f + n + 5 = 4, -g*f = n + 1 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 - 61*x**2 + 172*x + 7. Determine y(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*r + 3186 = 77*r. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2176\/352)\/(-34)*((-32)\/(-12))\/8\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 23, 34?\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -2 - (0 + -46 + 29)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 163 + -154. Suppose -7 = -4*c + v. Solve c*y - 37 = -5*j - 0*y, -5*j = 5*y - 40 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.06 - -3.94. Let m = 3.9 - g. What is the second biggest value in -2, m, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/(-2) + (1 - 0). Suppose 3*g + d*l - 45 = 2*l, 5 = -g + 5*l. Let s = -9715\/798 + 1\/133. Calculate the common denominator of g and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1602 by 346.\nAnswer: 801\/173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -255655 at least -255526?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1182767?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 110 - 106. Solve -g = -3 + m for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 140856780 by -37.\nAnswer: -3806940","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -244 + -34051050?\nAnswer: -34051334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 250036208 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -7*v + 1. Let s(q) = 1. Let z(j) = p(j) - 4*s(j). Let w(l) = -l. What is 5*w(i) - z(i)?\nAnswer: 2*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -429*n**2 - 255*n + 135*n**4 + 532*n**2 - 259*n**5 - 521*n**3 - 25 - 249*n**3 + 747*n**2 + 324*n**5 = 0. What is n?\nAnswer: -5, -1\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllyglyllggyglllllwl. Give prob of picking 2 y and 1 w.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -4*b**2. Let d be (-10)\/(-15)*-3*(-2 - -1). Let t(n) = -2 - 3 - 4*n**d + 5. Calculate t(k(x)).\nAnswer: -64*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 32.356478 to two dps.\nAnswer: 32.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32\/27 + -214\/135. Let m = 374.02 + -363. Let n = -0.02 + m. Which is smaller: i or n?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -2*l - 4. Calculate the remainder when 39\/6*-12*9*(-20)\/360 is divided by l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -24*h + 7. Give f(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1102768385 from -0.4733.\nAnswer: -0.3630231615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94476.\nAnswer: 2, 3, 7873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 50*u**2 + 2*u + 6. Let i(h) = -h. Calculate i(t(b)).\nAnswer: -50*b**2 - 2*b - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 347*a - 199*a + 0 + 0 to the form u + h*a and give h.\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 + 3*y**2 + y - 1. Let r = 5 - 8. Let c be w(r). Is (-411)\/c - 2\/(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -j + 2. Suppose 13 = 2*b - o, -5*b + 2*b + 22 = -j*o. Solve -14 = -2*a - b for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 2 + 10. Let j be (-3)\/(3*2)*t. Suppose j*m = -m + 66. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 164 and 123?\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -0.5 (b) -0.3418 (c) -1\/3 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 0.1, -41, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = 3*o + 18 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68133 (base 9) to base 15.\nAnswer: d659","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -148193 - -148189. Let q = 0.01 + 1.99. Which is the closest to 6? (a) -1\/3 (b) w (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10927422 divided by -110378.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 135 + 140 = -5*f, f - 3*a + 18 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12855 - -16699. Which is the second smallest value? (a) -0.5 (b) 0.2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of -l**6\/75 + l**4\/15 - l**2\/5 - 11*l - 5. Let v(j) be the first derivative of k(j). Find i, given that v(i) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -714*m = m - 11850 - 18180 for m.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 > -9\/5395?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 4*t**5\/9 + 4*t**4\/9 - 8*t**3\/3 - 56*t**2\/9 - 44*t\/9 - 4\/3 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14009097 - -467.\nAnswer: 14009564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 - 6*j + 2. Let v be s(-6). Suppose v*k = 2*q + 52, -4*k = -5*k + 5*q + 46. Suppose -f + k + 15 = 0. Is 16 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2363535 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 9:17 PM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 111953.937 rounded to the nearest 100?\nAnswer: 112000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3582 and 0.1?\nAnswer: 358.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -41 and -24121737.2?\nAnswer: 24121696.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 4:13 AM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -26.3, -3, 398?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 4*b - 2190, -14*b + 5*s - 564 = -15*b. What is the hundreds digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 32 = 7. Suppose -6 = -f - 2*p + 2, w*p - 20 = 5*f. Let u = f + 3. What is the remainder when 7 is divided by u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -87 + 136. Let q = j - 47. Suppose 3*i - q - 7 = 0, -4*i + 136 = 4*u. List the prime factors of u.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/11, -0.3, -4, 225, -2\/3, 6 in ascending order.\nAnswer: -4, -2\/3, -0.3, 4\/11, 6, 225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -509*s - 2060. Let g be t(-4). Let f = -2 + 3. Put -4, g, 3, f in decreasing order.\nAnswer: 3, f, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 7041*k**2 - 10*k - 1786. Let y(q) = -10*q**2 + 2*q - 1. Let w(l) = 5*y(l) + z(l). What is the first derivative of w(a) wrt a?\nAnswer: 13982*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 612, 600, 580, 552, 516?\nAnswer: 472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + n + 2*n)*(0*n**2 + 0*n**2 - n**2)*(-n + n + 2*n + 4 - 4 + n + (2*n - n - 2*n)*(0 + 1 - 2) + 5*n - 3*n + 3*n).\nAnswer: -9*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -288*v**3 - 84*v. Let h(s) be the second derivative of -17*s**5\/20 - 5*s**3\/6 + 11*s. Let d be 2\/(((-32)\/440)\/((-6)\/33)). Determine d*x(c) - 84*h(c).\nAnswer: -12*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(4 + (sqrt(1100) + 0 + 2 - sqrt(1100)) + (sqrt(1100) + -2 - sqrt(1100)) + sqrt(1100) + 3))**2.\nAnswer: 1260*sqrt(11) + 10341","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -1\/186, 0.11, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 - 2*h - 62. Give r(-10).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -7374\/29 and -2\/27 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 14, 63, 146, 263?\n\"Answer: 17*u**2 - 2*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of -o**4\/6 - 3*o**2 - 6*o + 1. Let j(r) be the first derivative of y(r). What is the first derivative of j(n) wrt n?\nAnswer: -4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seven halves of a centimeter?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 6749218.63 to the nearest one thousand.\nAnswer: 6749000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 11 = -4*b + 79, -b = -4*z - 32. Suppose -b = -2*f - 4. Is f smaller than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 7:13 AM?\nAnswer: 6:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 151617*m*z**5 - 46962*m*z + 5*m + 1 wrt z?\nAnswer: 3032340*m*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-15)\/4*48\/(-9). Let q be 403 + 1 + -1*4. Suppose 7*v = 12*v - q. Calculate the greatest common divisor of b and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*b**3 - 2365*b**2 + 197955*b + 615285 = 0. What is b?\nAnswer: -3, 113, 363","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-588*b**2 + 36*b**3 + 588*b**2)*(2 + 0 + 1) - 3*b**2 + 3*b**2 + b**3.\nAnswer: 109*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 4*q + 44, 15*g = 20*g - 3*q - 45. Suppose -5*v + 60 = -0*v. What is the lowest common multiple of g and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = d + 11 + 1, 5*z + 10 = 0. Let u be (-16)\/(-2) - d\/(-12)*3. Let w = 2.2 - 0.2. Put w, u, -2 in increasing order.\nAnswer: -2, w, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 11977925 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2366410 >= 2366409?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-4 + sqrt(2299) + (sqrt(2299) - sqrt(2299)*-1) + 2*(sqrt(2299) + -1))**2 - ((2 + sqrt(684) + -1 + sqrt(684))**2 - (1*sqrt(304)*1)**2).\nAnswer: -3984*sqrt(19) + 342633","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -94, -4, -3, 37, 108, 2 in ascending order.\nAnswer: -94, -4, -3, 2, 5, 37, 108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*x**2 - 3*x**2 + 9*x**2 - 2 + 2 + x**2 + 5*x**2 - x**2 - 2*x**2 + (-5 + 5 + x)*(-2 - 2*x + 2) - x**2 + 2*x**2 - 2*x**2 + 4 - 4 + 2*x**2.\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1212995*d**3*u**3 - d**3 + 2157*u**3 + 1846*u wrt d?\nAnswer: 3638985*d**2*u**3 - 3*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5367, -0.2, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 31323 + 4?\nAnswer: 31332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -980573, -981256, -981939, -982622?\nAnswer: -983305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -8459 divided by 22\nAnswer: -769\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-960)\/16)\/(-30))\/17.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from ooososooosoooosoooo.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -2*k + 1911, 5*k - 4767 = -39*s + 43*s. Calculate the remainder when k is divided by 119.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -7*j + 2. Let k(x) = 3*x - 1. Suppose 0*b = b + 5*p, -3*p = -5*b - 28. Give b*k(n) - 2*c(n).\nAnswer: -n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 248, 573, 884, 1175, 1440?\nAnswer: 1673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -203*s**3 + 5*s**2 + 29*s?\nAnswer: -1218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -93 greater than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of -165*v**7\/28 - 193*v**6\/24 - 89*v**5\/30 + v**4\/6 - 213*v**2. Factor x(k).\nAnswer: -k*(5*k + 2)**2*(99*k - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3122.\nAnswer: 2, 7, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + t - 2. Let n(i) = -83*i**2 + 6*i - 4 - i + 17*i**3 - 4*i - 74*i**2 + i. Let o(j) = n(j) - 2*u(j). Find the third derivative of o(l) wrt l.\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w + 3*w + 3*b + 9 = 0, 0 = -3*w + 2*b + 11 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of 8833*q**7\/210 + 663*q**5\/4 + 2*q**2 + 2453*q. Find the third derivative of b(s) wrt s.\nAnswer: 211992*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 914000471 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 14*3*(-5)\/(-15). Let j(q) = 13 - b + 10 + 5*q. Let u(w) = -2*w - 3. What is 3*j(o) + 8*u(o)?\nAnswer: -o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*k + 27*k = 528. Do -260 and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(24\/(-4)) + 575\/30. Let g be ((-24)\/10)\/((-2)\/15). Suppose -r*w + 10*w = -g. Solve -w = -5*b + 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 370 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 309*t - 79*t + 56*t = 2002 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 4 - x**2 - 3 - 5*x - 3. Give o(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + (-26)\/7 + 2. Let m = -28 + 29. Which is the nearest to j? (a) m (b) 0.1 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -130 - -55. Let w = 77 + m. Solve w*x - 2 = -10 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-5*1*sqrt(272) + sqrt(272) + 2 - (-1 + sqrt(34)\/(-2*sqrt(18)))))**2.\nAnswer: -665*sqrt(17)\/3 + 155189\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 2*h = 88, 5*k - 42 + 136 = -4*h. Let g be k\/10*60\/(-18). Solve -l = -g + 4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 0.1 (b) 90 (c) 0 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 + 46*w - 138. Calculate f(43).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q - 7. Let n(d) = -2. Let g(w) = -2*h(w) + 7*n(w). Let a(y) = -y**3 - 4*y**2 + 7*y - 7. Let z be a(-6). Let v(f) = z*f + 5 - 11*f - 5. Give g(v(c)).\nAnswer: -24*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26509 and 931.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2388237 is divided by 1253.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/16517718 and 103\/18877392.\nAnswer: 132141744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-seven halves of a century?\nAnswer: 16200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166*t = 93 - 1255 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2443*i + 2441*i - u - 9 = 0, 4*u + 80 = -30*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3776954 times -0.3\nAnswer: 1133086.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -8599997 + 3\/(-6)*6. What is j rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 3.922576?\nAnswer: 3.922576","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 2*o + (0*o - o - o)*(3 + 5 - 5) - o - o - 5*o - 2*o - o + o)*(-5 + 6 - 2).\nAnswer: 13*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2))**39\/((((n**(-3\/7)*n)\/n)\/n)\/n*n\/n**2))\/(n**8*n*n*(n*n**(-2\/13))\/n)**41 assuming n is positive.\nAnswer: n**(-43522\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-58 + 57)\/((68\/16)\/((-1)\/2)). Which is the third smallest value? (a) -26 (b) -2 (c) r (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -31*l*m**4 + 2*l*m**3 + 45*l*m**2 + 30*l*m - 2*m**4 - 10*m**3 + 9 wrt m?\nAnswer: -744*l*m + 12*l - 48*m - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2376\/(3 + -1) - -5 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(-14)*26*2*(-6)\/12?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8c8 (base 15) in base 14?\nAnswer: -a20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(456) - -1*sqrt(456))*2 + sqrt(456))\/sqrt(12)*-4)\/((sqrt(2) - sqrt(72))*1 - ((sqrt(288) - (sqrt(288) - sqrt(288)*-1)) + sqrt(288))).\nAnswer: 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-25 - -22)\/(3\/(-90)). What is the greatest common factor of 45 and w?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2208 - 2208.04. Put 2, -4, m in ascending order.\nAnswer: -4, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*t**3*w**2 + 2*t**3 - 2*t**2 + t - 19194*w**3 - 15*w wrt w.\nAnswer: -10*t**3 - 115164*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w**2 + 2*w - 12. Let g be u(2). Let m be -2 + g + 5 + 4 + -5. Solve m*z = -0 - 6 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1410395\/64 + -22038. Find the common denominator of 52\/37 and l.\nAnswer: 2368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -413*y = -432*y + 12844. What is the highest common factor of y and 104?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1139585?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a9889 (base 12) in base 2?\nAnswer: 1110011011110101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15529 and 265?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 - l**3 - l**3 + 7 - 5. Let n(x) = -x**2 + x + 1. Calculate -d(s) + 2*n(s).\nAnswer: s**3 - 2*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -3\/4 (b) 6 (c) -41.4 (d) 1 (e) 2\/5 (f) -4\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (79*p**2 - 39*p**2 - 34*p**2 + 10)*(46 + 65 - 10) as s*p + l*p**2 + k and give l.\nAnswer: 606","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b + 10. Let y be x(8). Suppose -y*d = -3*d. Suppose d = -5*q + 5. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 801356.\nAnswer: 2, 89, 2251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 3694 = 5*q, -5*q - 4*h + 2014 + 1692 = 0. Is q a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*t**4*x - 43601865*t**4 - t**2*x - 2*t*x - 85*x + 145439 wrt t.\nAnswer: -120*t*x - 1046444760*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12.6 - -12.47. Let p = z - -0.13. What is the nearest to p in 2, -0.2, 2\/37?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2140296421.\nAnswer: 1171, 1827751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*j + 3*j + j)*(-2*j**3 - 1 + 1) + (-2*j**3 + j - j)*(3*j - 3*j + 2*j)*(17 - 49 - 18)*(4 + 3 - 3).\nAnswer: 804*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.6 - -0.2. Let x = 14 + -17. Sort i, x, 0.4, 0.3.\nAnswer: x, i, 0.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of -9*z**2 + 1\/6*z**3 + 0 + 0*z + 1\/24*z**4. Determine y(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of 5*v**3\/6 - 7*v**2\/2 - 2*v. Suppose -501 = -4*t + l - 480, 4*t = 8*l. Let k(p) = 5*p - 6. What is t*k(r) - 5*b(r)?\nAnswer: 5*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 28*w**2 + w - 4. Is 8 a factor of b(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**4 - m**3 + m**3 + (-6*m**2 + 3*m**2 + 4*m**2)*(3*m**2 + 0*m**2 - 5*m**2) + (2*m**4 + m**2 - m**2)*(1 - 1 + 1))*(3942 + 2591 + 1590).\nAnswer: -16246*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.4017 + 0.2837. Let u = 31 + -29. What is the third biggest value in m, 0.4, u?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -198*s**2 + 4*s**3 - 106*s**2 + 27*s**2 - 145*s**2.\nAnswer: 4*s**3 - 422*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 23 and 184542\/7789 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of 4*x + x**2 - 1\/12*x**4 - 1\/20*x**5 + 1\/2*x**3 + 32. What is o(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 161 times 0.1663\nAnswer: 26.7743","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 58626*n + 938024. Calculate i(-16).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/132 and 1\/13926?\nAnswer: 27852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1606870?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 279880592 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/6)\/(10\/15). Let f = -24 - c. Let w = 18 + f. Let j(h) = -3*h - 5. What is j(w)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11.07 + -11. Let x = l + 0.16. What is x rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3824447.\nAnswer: 11, 31607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 751*i**2 + 6*i + 6. Suppose 5 + 5 = -10*z. Is p(z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 3*g - 8 = -0*g, 32 = -3*n + 5*g. Let b(y) be the first derivative of y**3\/3 + y**2 + 3*y + 19. Is b(n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 3\/7, 41, -5, 0.5 in ascending order.\nAnswer: -5, -0.1, 3\/7, 0.5, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -720, -300, -4, -2 in increasing order.\nAnswer: -720, -300, -4, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/7, 5, 0.4, -27\/2, -0.03?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32186?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*b + 65 + 39 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1931054.\nAnswer: 2, 331, 2917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 29801784 a multiple of 844?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (-10 + 13)\/((-6)\/(-502)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sm when two letters picked without replacement from {d: 1, g: 1, x: 2, m: 5, s: 3}?\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 1766 divide 343974182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 419 + -424. Which is the third biggest value? (a) -20 (b) 0.03 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 11 = -3*d + 2*k, -2*d - 18 = 2*k. List the prime factors of (-6)\/(-1)*(-10)\/d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6518571 to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-59 - 60 + 94 - 3*r)*(-4*r**2 + 4*r**2 + 2*r**2) as w*r + s*r**3 + u + c*r**2 and give c.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -267*n. Let s(h) be the second derivative of -10*h**3\/3 + 1475*h. What is w(s(a))?\nAnswer: 5340*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 3*l - 5*l + 3*g + 108 = -3*l, 0 = 4*l - 3*g - 148 for l.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.3 (b) -2\/15 (c) 5\/63 (d) -4 (e) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 - 2)*(0 - 0). Let x be k - (0 + 8\/(-6)). What is the smallest value in x, 0.1, 3\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a - 3. Let c be y(-5). Let s = 11 - c. Is s a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -8*l**3 + 2*l**2 + 4*l + 3. Let j be u(-1). Calculate the greatest common divisor of 18 and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 18 = -u, 2*t = 6*t - 2*u - 52. Let y be (-20662)\/(-22) + (-2)\/t. Let j = y + -11279\/12. Calculate the common denominator of j and 76\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/42)\/(3\/2).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kiik when four letters picked without replacement from {i: 3, k: 11}.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21903?\nAnswer: 3, 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1\/8, -4\/5, 4\/3, 271476\/11?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 761935 (base 10) to base 9.\nAnswer: 1381154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*i**2*l**3 + 4305*i**2*l**2 + 3*i*l**3 - 2*i*l**2 + 82*i*l wrt i?\nAnswer: -4*l**3 + 8610*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/33 (b) 1\/3 (c) -0.4 (d) 2 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48 and 1780?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 395 and 711.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4\/4 - 15569416*b**3 + 242406683442222*b**2 + 969626920601888*b + 969626982879556.\nAnswer: (b - 31138834)**2*(b + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, d: 2, e: 1, j: 5, s: 1}. Give prob of sequence sdgj.\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 37 = 4*f. Let k be (-8)\/f*(-24)\/16. Let y(x) = x + 28. Let i be y(-24). Solve -k*l = -i*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-three thirds of a year?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-18)*1*1*3.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10297, -40672, -91305, -162202, -253369, -364812?\nAnswer: -496537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of -m**4\/4 + m**3\/3 + m**2\/2 + m - 17. Let i(x) = 8*x**3 - 4*x**2 - 8*x - 4. Let j(d) = -i(d) - 4*l(d). Factor j(b).\nAnswer: -4*b*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 6*y + 15 = 3*p, 3*y + 10 = p. Let o be (96\/(-54) + 2)\/(-2). Sort p, 2\/9, -2, o in descending order.\nAnswer: p, 2\/9, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 421 + 2a?\nAnswer: 44b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*h**2 - 19 + 23*h**2 - 3*h + h - 40*h**2.\nAnswer: -43*h**2 - 2*h - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.163 - -3.837. Let n = -0.2 + 0. Sort n, h, -21 in decreasing order.\nAnswer: h, n, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5079\/290 + 2\/145. Let s = 5 - -17. Calculate the common denominator of r and -19*3\/s - -2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 248 + 208 = 0. Let x be (u\/(-8))\/((-21)\/56). Let l be -2*2\/(16\/x). Which is smaller: -11 or l?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 950 and 13386925.\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*r**5 + 3*r**5 - 6*r**5 + (-3*r**4 + 2*r**4 - r**4)*(3 - r - 3) - 12574 - 239*r**5 + 12574 + (-2*r**4 + r**3 - r**3)*(0*r + 3*r - r).\nAnswer: -240*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (39*25\/(-650))\/(3\/(-166))\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o**(-3)\/o)*o)\/o*o*o**(-6)\/o)\/(o**0)**(2\/67) assuming o is positive.\nAnswer: o**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - -14) + -7 + -6 - 0.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3230.3935 rounded to the nearest ten?\nAnswer: 3230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 31166149 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -25 and 5.\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -45527, -45531, -45537, -45545, -45555, -45567?\n\"Answer: -p**2 - p - 45525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2.3 - -446\nAnswer: 443.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/4 - (-4852)\/(-3400). Let g = m + 7\/25. Is g smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of i**6\/60 + 211*i**5\/20 - i**4\/8 - 61*i**3\/3 - i**2 - 32*i. What is the second derivative of b(d) wrt d?\nAnswer: 12*d + 1266","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10195253?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1454 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aui when three letters picked without replacement from aiaiuuitiuai.\nAnswer: 3\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 + 18. Let m = -7.5 + q. What is the closest to -2\/7 in m, 1, 0.2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -1. Let p(g) = g - 2. Let o(k) = 4*j(k) - p(k). Let c be (4\/6)\/(2\/(-18)). What is the units digit of o(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9*((-920)\/4140 + (-178)\/(-774))?\nAnswer: -3\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*p - 2839 + 2749 = 0. What is the fourth biggest value in -0.2, -0.74, p, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 630 = -0*i. Suppose -135 = -2*s + i. Is s a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1413524245?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 700 - 358. What is the hundreds digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2 + 1806 - (28 - 26).\nAnswer: 2, 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17.014 + 0.014. Let n = -16.9 - v. Which is the second biggest value? (a) 0 (b) n (c) -3 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 12*y - 60. What is the remainder when 234 is divided by j(10)?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3074711?\nAnswer: 3074711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, l: 3, r: 1, n: 5}. What is prob of picking 1 r and 1 n?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -5*t - 84. Let v = 3805 + -3818. Give y(v).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 + (1 - 0))*1. Let m be 0 - (-10)\/f*3. Let l = m - -77. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2233 + -101590?\nAnswer: -103823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**3 + 0*p**3 - 3*p**3 + (2 + 3*p - 2)*(2 + 0 + 1)*(-6*p**2 + 4*p**2 - 7*p**2))*(-4*p**2 + p**2 + 5*p**2).\nAnswer: -166*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 152 (base 8) to base 4\nAnswer: 1222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*x - 48*x = -28 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3*2\/(-2)*(-1)\/5. Which is the second smallest value? (a) -0.4 (b) 6\/77 (c) -3 (d) 0.03 (e) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r + r + 3*r**3 - 2*r**3 + 1 - 1 + (-r - 3*r + 2*r)*(0*r**2 + 3*r**2 - 5*r**2) + 2*r**3 - 3*r**3 + 2*r**3 to o + q*r**2 + g*r**3 + c*r and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-6))\/(140\/56)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + u + 3*f - 9, 3*f - 17 = -u. Suppose -w + 3 = -u. Solve -n = -0*x + 4*x + 20, 2*x + 10 = w*n for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*y**3 - 8*y**3 - 8*y**4)*(5 + 0 + 0).\nAnswer: -40*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2164599 rounded to the nearest 1000?\nAnswer: -2165000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of 5*f**4\/4 - 3*f**2\/2 + 5. Find the second derivative of v(m) wrt m.\nAnswer: 30*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of -3*o**2\/2 + 4*o - 2. Find the first derivative of g(t) wrt t.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1122?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 - -11. Let p = -0.07 - -0.47. What is the biggest value in k, 2\/15, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 + 46*q - 502. What is the remainder when 664 is divided by z(24)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 21449971?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -26 - 14*d + 11*d + 4*d + 5*d. Let r be l(7). Solve -5*i = -9*i + r for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 93 - a41?\nAnswer: -9ae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 386\/6 + (-10)\/(-15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 260779?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1528 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93 = -2*p - r, 2*p + 5*r - 3 = -92. Let o(d) = -4*d**3 + 8*d**2 + 8*d - 38. Let s be o(4). Let y = p - s. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llllllsklqkll. What is prob of picking 1 k and 1 l?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**2 + 1 - 3*p**2 + 7*p**2)*(0*p**3 + 0*p**3 - 10*p**3).\nAnswer: -20*p**5 - 10*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 801 + -2018337961667\nAnswer: -2018337960866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -294 divided by 2\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8 + ((-40)\/8 - 125\/45). Which is the closest to 0.2? (a) 0.04 (b) 1\/2 (c) m (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -12 - -422?\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 - -40. Suppose -3*m = -7*m + a. Suppose 0 = n - i + m, 7 = 5*n - 2*n + 4*i. Is n != -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*w**2 + 4 - 2 - 5 to r*w**2 + f + i*w and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*(12\/14 - (-10)\/(-28)). Which is smaller: -23\/64 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -29123.87979 to the nearest 100.\nAnswer: -29100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 12*g + 542. What is z(-24)?\nAnswer: 254","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 13035 - -0.477614\nAnswer: 13035.477614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 1717102275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 60 - 55. Is 6 less than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1 + sqrt(2))*2.\nAnswer: 10 + 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -19092, -38211, -57330, -76449, -95568?\n\"Answer: -19119*m + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4a - -759?\nAnswer: 7a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 PM and 5:02 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(0 + (-12)\/464). Let a = h + 121. Suppose a*z = c - 521, 4*z - 2176 = -4*c + z. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61*0.5.\nAnswer: 30.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 - 2*a**2 - 3*a + 5. Determine z(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (1*(sqrt(76) - (sqrt(76) + sqrt(76)*-1)) + sqrt(76))\/sqrt(4).\nAnswer: 2 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 343965*s**3 - 258694*s**3 + 483569*s**3.\nAnswer: 568840*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 8767 divide 277379113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6289, -6252, -6147, -5938, -5589, -5064, -4327?\nAnswer: -3342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*l + 3*h + 42, 3*l - 20818*h + 20812*h = -6 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 7*w**2 - 3*w + 2. Does 14 divide m(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 33? (a) -7\/2 (b) -3\/5 (c) 4 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 10338300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gtzgzggtz. What is prob of sequence ztz?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24 + -7. Let t = n + 51. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -28, 1, -27, -11, -34, 0.1 in decreasing order.\nAnswer: 1, 0.1, -1, -11, -27, -28, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 0 - (-3 - (-5 + -2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.1 (b) 48 (c) -3\/2 (d) 0.5 (e) -579 (f) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -5*(sqrt(68)\/sqrt(4) + -1 + -1*sqrt(612))**2*2.\nAnswer: -4257 - 100*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -68*n**3*x**3 + 47962708*n**3*x**2 + 15*n*x**3 - 1600*x**3 wrt x?\nAnswer: -408*n**3 + 90*n - 9600","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3035 divided by -2?\nAnswer: 3035\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 73511 or 73629?\nAnswer: 73629","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Solve -t**3\/2 - 31*t**2\/2 - 29*t = 0 for t.\nAnswer: -29, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*k + 12 = -20*k - 58. Factor 2*p + 12\/13 + 4\/13*p**k.\nAnswer: 2*(p + 6)*(2*p + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 4. Let w be (-5)\/r - (-7)\/(-21). Let x(u) = -11*u**2 + 3*u + 2. Let c be x(w). What is c rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-232)\/(-1)*3\/6. Let g = -115 + v. Let a(c) = c**2 + 10*c + 27. Let o be a(-5). Put g, -1, o in decreasing order.\nAnswer: o, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 190.2712 millilitres in litres?\nAnswer: 0.1902712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 37420, 37412, 37396, 37366, 37316, 37240?\n\"Answer: -z**3 + 2*z**2 - 7*z + 37426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*v + 158*x - 153*x + 36, 0 = -5*v + 5*x for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/11 (b) 1 (c) -2\/9 (d) 74\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 2*w + 6. Let r be (8\/20)\/1 - 8156\/(-10). Let k be r\/42 - 4 - (-8)\/14. Solve 14 = h + w*l, -4*h - l + k = l for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + 1 - 1)*((1 - 2 + 3)*(-1 + 4 - 1) - 3 + 5 - 1)*(-55*q + 156*q + 54*q).\nAnswer: 775*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 387, 385, 381, 375?\nAnswer: 367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -88b97 (base 16) to base 4.\nAnswer: -2020232113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5876 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 203432 (base 5) in base 15?\nAnswer: 1ee7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5898?\nAnswer: 2, 3, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -23, -27?\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3114896, 6229793, 9344690, 12459587, 15574484, 18689381?\n\"Answer: 3114897*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12618127 to the power of 1\/2, to the nearest integer?\nAnswer: 3552","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 85\/54 - -7567\/270. Is 31 not equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -216904, -867606, -1952094, -3470356, -5422380, -7808154?\nAnswer: -10627666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2223 is divided by 235?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -108 or -0.6608?\nAnswer: -0.6608","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 139, 142, 145, 148, 151, 154?\nAnswer: 157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 102762?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2.5*27\nAnswer: -67.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 3 = 5*x, -4*x - 4*p = -0*p - 8. Let u(t) = -t**2 - 6*t + 3. Let f be u(-6). Let z = x - f. Which is smaller: -3 or z?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 j when two letters picked without replacement from {j: 1, b: 2, i: 4}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(27) + 4*(1 + sqrt(3) - sqrt(3)))*1)**2.\nAnswer: 18*sqrt(3) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4766.399 + -4777. Let d = -0.601 - f. Which is greater: d or 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -40*a**3*n**2 + a**3 + 2*a**2*n**4 + 5*a**2*n + 3*a*n wrt n.\nAnswer: -80*a**3 + 24*a**2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 8587*o**2 - 18*o - 13. What is the tens digit of y(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3338947um to millimeters.\nAnswer: 0.0003338947","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14.48 - -14.88. Let p = 0.02 + -4.02. Put 3\/5, -3\/7, p, d in ascending order.\nAnswer: p, -3\/7, d, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 42 + -35?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-5\/3)*(h**3*h)\/h)**(-23) assuming h is positive.\nAnswer: h**(-92\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -2*j + j. Suppose j = o + 3*k - 8, 0 = 3*o - k - 79 + 5. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(1053)*-3)**2.\nAnswer: 85293","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence st when two letters picked without replacement from {z: 3, t: 11, s: 1}?\nAnswer: 11\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 - 2*y**2 - y + 3. Let f = 142 - 139. Give j(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sqc when three letters picked without replacement from cqspcsa?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7)\/35 - (-9)\/20. Which is the fourth biggest value? (a) 0 (b) h (c) 1\/3 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6338093354 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/3)\/((n*n\/(((n*n**(-1\/4))\/n)\/n)*n*n)\/n)*(n\/(n*n*n*n*n\/n**2*n*n))\/n*n\/(n*n**0))**(-2\/35) assuming n is positive.\nAnswer: n**(103\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -2*t**3 - 4*t**2 + 22*t + 24 = 0?\nAnswer: -4, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 17*k**3 - 3*k**2 + 3*k. Let o(b) = -17*b**3 + 2*b**2 - 2*b. What is -2*d(m) - 3*o(m)?\nAnswer: 17*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.6 from -0.93.\nAnswer: -2.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 7, g: 5}. What is prob of picking 3 r and 1 g?\nAnswer: 35\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 + 42. What is the remainder when 87 is divided by u?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4b10 + -8a?\nAnswer: 4a53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.07 - 0.23. Let s be (-4)\/10 + (-66)\/(-15). Suppose 2 - 6 = -s*o. Which is the third biggest value? (a) -5\/3 (b) h (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -74.58622 and 38256.\nAnswer: 38181.41378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -144078, -144079, -144080, -144081?\n\"Answer: -a - 144077","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/l**(-1\/13)*l**(-2\/11) assuming l is positive.\nAnswer: l**(128\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -475\/717 - 1\/239. What is the closest to -0.1 in c, 2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 6694?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 808646 (base 13) to base 9\nAnswer: 5555112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + (2 - -18) + (117 - 167).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 PM and 9:47 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z**2 - z. Let v be h(4). Suppose b + 4721 - 4728 = 0. Let o be (b + (-138)\/18)*-84. What is the greatest common divisor of v and o?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -516 divided by -21316\nAnswer: 129\/5329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 29*a + 140 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - 41) + 15 + (-3 - -77) + -6 + 0?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 3708909?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 11:34 PM?\nAnswer: 1:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 + 0)*9\/9. Suppose -2*z + 2*u - 3*u = 1, -18 = -s*z + 5*u. What is the least common multiple of z and -3*(-2)\/(-10)*-5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 427926302 to the power of 1\/2, to the nearest integer?\nAnswer: 20686","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b + 4. Let y(d) be the third derivative of d**4\/24 - 5*d**3\/6 - 2*d**2 + 39. What is -3*n(i) - 2*y(i)?\nAnswer: i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 3*m**2 - 2*m + 4. Let y be v(2). Let t = 14 - y. Find the second derivative of -3*o - 6*o - o**t - 3*o**2 - 4*o**2 wrt o.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 3*i - 39 = 0, -3*i + 6 - 15 = 0. Suppose 2*q + b = u - 2*q, 0 = -3*u + 2*q + 25. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2. Let a be w(3). Suppose -6 = 5*s - 26. Is s\/(-6) + (-141)\/a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22 + 64. Let b = l + -42.072. Let k = b + -2.928. Are k and -3 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -12*c**3 - 7*c**2 + 4*c - 7. Give s(-3).\nAnswer: 242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/15*-3*3. Suppose k - t = -3. Suppose -5*n + 4*w + 0*w = -62, -45 = -3*n + 5*w. Solve 3*x + n = x + b, -k*x + b - 15 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 12*x + 8*x = 5589, -3*x - 3351 = -3*i. List the prime factors of i.\nAnswer: 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (128\/(-12))\/(-2) + (-1)\/3. Solve -12 = -u*w - 2 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ecq when three letters picked without replacement from {e: 2, c: 2, q: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 1 - 1)*(2*r - 2*r + r) - 10*r - 19 + 19)*(7 + 5 - 1).\nAnswer: -132*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -2*p + 7, p = -2*q + 4 + 7. Suppose 7 = 2*h - q. Let x(n) = -h*n + 0 + 0. Let u(l) = -l**2. Give u(x(t)).\nAnswer: -25*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 - 76*w**2 - 79*w**2 + 136*w**2 - 23*w - 45. Let s be r(-18). 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: What is the lowest common multiple of (-1086)\/3620 + -1 + 126\/20 and 7?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -3*q + 8. Let l be d(3). Is (2 + -1)*222 - (l - 0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = 6*l - 103. Suppose 702 = -l*y + 10602. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 2*v + 12 = 0, 23 = -4*p + p + 2*v for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -13*m**2. Let h(i) be the third derivative of i**5\/30 - 13*i**2. Calculate h(q(l)).\nAnswer: 338*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7238213 is divided by 75.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23*h**4*y**2 - 1471*h**3*y**2 + 8*h**2*y**2 + 20459*h*y**2 wrt h.\nAnswer: -552*h*y**2 - 8826*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 8 = 2*r + 7, 5*r = 2*y + 10. Suppose -5*z - 12 = -2*b + 1, r = 5*z - 15. Let s be -3 - -1 - b\/7*-2. Solve h + s - 4 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341335570 plus 292.7?\nAnswer: 341335862.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 + 11*o - 8. Let t be s(9). Suppose t = 4*r - 2. What is the first derivative of 5*a**3 + a**3 - r*a**3 - a**3 + 1 wrt a?\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 289466 is divided by 1633?\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*s**2 + 5*s**2 - 2*s**2 + 5*s**2.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1.1 or -0.23?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of -1\/56*k**8 + 0 + 0*k**3 + 1\/15*k**7 + 0*k - 2\/9*k**5 + 2\/9*k**4 + 1\/90*k**6 + 12*k**2. Let h(o) = 0. What is o?\nAnswer: -1, 0, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - b = 3*b - 3336, 2008 = 3*z + 4*b. Suppose -6*k = -2*k - 4, -2*g = -4*k - z. Suppose g = 3*l - 1067. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.56176543 rounded to two decimal places?\nAnswer: 9.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of -p**2\/2 - 7*p + 3. Let q(t) = -t - 26. Suppose 3*x + 9 + 38 = -2*f, 0 = -x - 4*f + 1. Let j be q(x). What is m(j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-9) + (-1)\/(-3). Let t be s - ((2 - 2) + -1). List the prime factors of (-420)\/(-12) + 6\/t.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10649\/228 - 467\/12. Is o less than 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of 53*f**8\/336 - 3*f**6\/8 + 5761*f**4\/24 + 6075*f**2. What is the second derivative of y(b) wrt b?\nAnswer: 1060*b**3 - 270*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10\/13? (a) 22 (b) 0.4 (c) 2 (d) 147\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26935, 0.3, 1\/3 in decreasing order.\nAnswer: 26935, 1\/3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 582522?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 54576130?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.04 <= 19\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + 19*w**2 - 19*w + 34. Let n be i(18). Suppose 1811 = -15*g + n*g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6904)\/(-20) - (-5)\/(-25). Calculate the highest common divisor of 207 and h.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3212754 + -5?\nAnswer: 3212747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**3\/4 + 560*f**2 + 315828*f + 2490912 = 0. Calculate f.\nAnswer: -1116, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = -4*z - 44, v - 1452 = -4*z - 1448 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -196*h + 145893 = -49712 + 50565. Calculate the greatest common factor of 2516 and h.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14480?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18611466 and 427?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/7? (a) -16 (b) -5 (c) -0.1 (d) -0.02 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/8110 and -2\/11?\nAnswer: 89210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y**10\/y)**(-48) assuming y is positive.\nAnswer: y**(-528)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - -6412?\nAnswer: 6408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2403756 by 2403756.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 + 82)*2\/2. Suppose 5*i - 3*h - 61 = 79, -4*i = 4*h - b. Is 16 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 11) to base 4.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 708981456?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 4*c**2 - 6*c + 2. Let s(o) = -3*o**2 + 5*o - 2. Let z(u) = 4*p(u) + 3*s(u). Factor z(a).\nAnswer: (a - 1)*(7*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fhh when three letters picked without replacement from {h: 5, n: 3, f: 1, s: 1, o: 3}?\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.6 + -1620?\nAnswer: -1621.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -7*(-22)\/(44\/4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 32, -5, -30, -15, 5 in descending order.\nAnswer: 32, 5, -5, -15, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 8 = -0*d. Let v = d - 0. Let j = -1 - -1. Solve v*m = -j*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 3*v = 367, 5*v + 551 = -2*r + 5*r. Suppose -62 = -28*f + 27*f. Calculate the remainder when r is divided by f.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -3*m - 1. Let l be s(5). Let h(x) = -x**2 - 4851*x + 9710. Let v be h(2). Which is the closest to -2\/7? (a) v (b) -3 (c) l (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 33*t**6 + 20*t**3 - 4975*t**2 wrt t?\nAnswer: 3960*t**3 + 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2*q**3 + 24*q**2 - 6*q + 12. Let r(b) = b**3 - 14*b**2 - 14*b - 27. Let v be r(15). What are the prime factors of j(v)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4, 21, 1126, -0.05, -0.26?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9796 rounded to two decimal places?\nAnswer: -0.98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -950*l - 25512. Determine i(-27).\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5333 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.8 + -3.8. Let r = -5 - p. Let k(a) = a**3 - 5*a**2. Let b be k(5). What is the nearest to b in r, 4\/9, 3?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(9\/(-8))*(-110)\/(-220)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1\/3, 0.1, 4\/7 in ascending order.\nAnswer: -4, 0.1, 1\/3, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139*w + 33*w - 758 - 408 = 0 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 12*h**3\/5 + 56*h**2\/5 + 52*h\/5 - 24\/5 = 0.\nAnswer: -3, -2, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z + 3. Let t be 2\/6 - (-2)\/(-6). Let i be g(t). Let j(p) = -p**3 + 2*p**2 + 3*p - 2. Determine j(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3000, -12266, -27704, -49308, -77072, -110990, -151056?\nAnswer: -197264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 2*b - b. Solve b = 4*t + 2*n - 8, 6*t - 21 = t + 3*n for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 3*z - 122138 - 9051, -4*q + 5*z = -131133. What is the thousands digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9)\/((-45)\/(-10))*-1. Put -3, o, 3 in increasing order.\nAnswer: -3, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5138.16 to the nearest one hundred.\nAnswer: 5100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 846617 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/23)\/w*(w*w**(-2\/7))\/w)**14 assuming w is positive.\nAnswer: w**(-386\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(70)\/(3*sqrt(10)) + 0 + 3)**2.\nAnswer: 2*sqrt(7) + 88\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.034459 to three decimal places.\nAnswer: -0.034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 9*r - 15. Let m be a(7). Let q = m - 33. Let p = 43 - -47. What is the greatest common factor of q and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t + 4. Let z be p(0). Let a(g) be the first derivative of 33*g**2 - 366*g + 293. Let d be a(6). Solve -4*c = -z*v + 4, -v - v - 5*c + d = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34 - 29. Let y = 3 + -1. Solve -n*c + y = -3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s**2 + 53*s. Let o(d) = 4*d**2 - 106*d. What is -2*o(y) - 5*v(y)?\nAnswer: 2*y**2 - 53*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 30235 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 351876 is divided by 1571?\nAnswer: 1543","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2087\/15 - -699\/5. Let -8\/3 - 6*f**2 + 2\/3*f**3 + v*f**4 + 22\/3*f = 0. Calculate f.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-19 - -18)\/(-1))\/(1\/4). Suppose 0 = -3*w - 4*f + 34, 2*w + f - 2 - 14 = 0. Let i(u) = w*u + 0*u - 5*u - 9. What is i(k)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeevelpleep. What is prob of picking 1 l and 1 p?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 578.34 * 13\nAnswer: 7518.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -677 - 141*o**3 + 784*o**3 + 675 + 96*o**3.\nAnswer: 739*o**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 53319.69mg?\nAnswer: 53319690000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or 15?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 84 and 30107252?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -6 + 7 + 45656675\/(-490). Let u = 93177 + c. Find the common denominator of u and 101\/70.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*w + w + 20*w**2 + 22*w**2 - 2*w to j*w + y + d*w**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 308*o = -122*o + 154*o + 2208 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -21*t + 17*t for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 - 2*z**2 - 5*z - 5. Let m be s(7). Suppose -5*b + 95 + m = 0. Does 12 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 6*x**5 + 17*x**3 - 29*x**2 + 17. Let r(u) = 2*u**5 + 6*u**3 - 10*u**2 + 6. Let g(v) = 6*q(v) - 17*r(v). Find the third derivative of g(z) wrt z.\nAnswer: 120*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express n**3 - 3*n**3 - 132*n**4 + 3*n**2 - n**2 - 18*n**3 + 16*n**3 as v*n**3 + w*n**4 + f + z*n**2 + b*n and give w.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -6*g - 4*n - 14, 5*n = -4*g - 17. Solve 0 = j + 5 - g for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -14*w + 13*w + 37 - 3*w. Determine b(12).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 2*b - 2 + (4*b - 2*b - 5*b)*(0 - 2 + 0) - 82*b - 80*b - 13 + 165*b in the form j + o*b and give j.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3464730181 rounded to the nearest one hundred thousand?\nAnswer: -3464700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 675, 0.2, -1\/3, -2, 14 in increasing order.\nAnswer: -2, -1\/3, 0.2, 14, 675","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*w**3 + 2*w**3 + 135 + 435)*(-1 + 2 + 1) to the form g*w**3 + f*w**2 + q*w + n and give n.\nAnswer: 1140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 - (3 - 3) - 8. Sort w, 3, 5, 4 in decreasing order.\nAnswer: 5, 4, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x - 3*x + 2*x)*(3 + 0 + 3)*(4 - 4 - 4).\nAnswer: 24*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1612 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 46*n - 52*n + 12 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f*f*f**(-8)*f**(-1\/10)*f**(7\/4)\/f**(-19) assuming f is positive.\nAnswer: f**(313\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o**2 - 6*o. Let b(g) be the second derivative of g**3\/6 - 24*g. Give 3*b(d) + u(d).\nAnswer: 2*d**2 - 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4.32 and 0.06299.\nAnswer: -4.25701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -91 in -0.222, 1\/10, 3?\nAnswer: -0.222","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i**2 + 3*i - 4. Let y be b(1). What is the nearest to 2 in 0.2, 3\/4, y?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 212, 988, 2710, 5852, 10888, 18292?\nAnswer: 28538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 243109096 plus 0.322?\nAnswer: 243109096.322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7981747 centimeters in nanometers?\nAnswer: 7981747","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/3))**(-4\/11)*(a\/(a*a**(-1\/6)))\/a**(-4) assuming a is positive.\nAnswer: a**(97\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1515 + -1511. Let k(n) be the second derivative of 0*n**3 - 5\/6*n**z + 1\/2*n**5 + 10*n + 0 + 0*n**2. What is the third derivative of k(r) wrt r?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -90197 (base 10) to base 11\nAnswer: -61848","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-19 + 12) - -13?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 8:49 AM?\nAnswer: 3:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -693.56242 rounded to one decimal place?\nAnswer: -693.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 7:59 PM?\nAnswer: 5:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -143533*f**3*v - 306*f**3 + 5*f**2*v + 45483*f**2 - 2*f*v - 2*f + 2*v + 2 wrt f.\nAnswer: -861198*v - 1836","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0718901017 to 4 decimal places.\nAnswer: 0.0719","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 42\/5 of a decade?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8*a**2*o*u**2 + 7831*a**2*u - 219284*o*u**2 - u**2 wrt a.\nAnswer: 16*a*o*u**2 + 15662*a*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4548 is divided by 688.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -90 - 6. Suppose 4*i - 2*r = 208, 129 = 3*i - 3*r - w. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = q - 30. Suppose -103200 = m + q*m. What is m rounded to the nearest one thousand?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7768 bigger than 7770?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 137 - 31*a**4 - 137 + (-2*a**2 + 2*a**2 - 2*a**3)*(-2 + 2 + a).\nAnswer: -33*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 + k**2 + k - 20. Let r be v(0). Let n be (-11)\/(-4) - 5\/r. Suppose 11 = -n*c + 4*c. List the prime factors of c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -150 - -151. Solve 7*k + c = l + 4*k, -3*l + k - 5 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (102\/(-4))\/(((-130)\/(-4))\/(-5)*(-36)\/156).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1379949 greater than 1379949?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1079 a factor of 216183045?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 17539 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -908 + 39*f + 908 to the form m + x*f and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-52)\/65)\/((-106023)\/(-17700) + 7\/((-7)\/6)).\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/27 in 1.6754, -2, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((((-275)\/22)\/25)\/26)\/(16\/(-896))?\nAnswer: 14\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*f - f - 3. Let k = -3 - f. Let i = 9 + k. Is i a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73 - 28 - 31 - 14 - 2054*s**2.\nAnswer: -2054*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w**(-1))**(8\/15)*w\/(w*w*w*w**(-2))*w**(-2) assuming w is positive.\nAnswer: w**(-22\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h - 11*h - 3*h - 11*h. Let r(v) be the first derivative of 4*v**3\/3 - 323. Determine r(b(k)).\nAnswer: 2304*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*f**3 + 37*f**3 - 56*f**3 + 11*f**3.\nAnswer: 14*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.07730959193 to five decimal places.\nAnswer: -0.07731","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/227328 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -5*b**3 - 20145*b**2 = 0?\nAnswer: -4029, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -4*m**3 - 77*m**2 + 62*m + 41. Give g(-20).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-8))\/((-3)\/(48\/16)).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 divided by -4?\nAnswer: -559\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 4*n + 47 = -4*l, 4*n + l = 46. Let d be (n + -2)\/((-3)\/(-6)*-2). Let f = -2.9 + 3. Which is the nearest to f? (a) 4\/3 (b) d (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, m: 1, t: 1, b: 1, u: 1}. What is prob of picking 1 m and 1 b?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (-5 - 9 - -22)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -150*g - 7629. Determine f(-51).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q\/(q\/((q\/q**(-1\/2))\/q)*q)))\/q)\/(q\/(q\/(q\/(q\/q**(-2))))*q)*(q\/q**2)\/q**0)**(1\/9) assuming q is positive.\nAnswer: q**(1\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 s when two letters picked without replacement from sossosoosoossooo.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence diia when four letters picked without replacement from ayuaydyaiuyiyiu?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(832) + -5 + sqrt(832) + 0 + (sqrt(832) - (sqrt(832) - (0 + -5 + sqrt(832) + sqrt(832)))).\nAnswer: -6 + 32*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of 9*i**2\/2 - i - 1. Let q be c(2). Suppose 4*p - q + 5 = 0. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1987 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/4 of a hour?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -3*y - 2*w + 75, 3*w = -15. Suppose 7*m - 17*m + y = 0. Solve 0*v = v + 3*h + 13, -5*h = -m*v + 7 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1650124093 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 15 = -9. Suppose 2*f - 1082 = o, -l*f + 9*o + 2170 = 4*o. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 672842?\nAnswer: 2, 23, 14627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 divided by 200?\nAnswer: -19\/200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*b**2*n**5 - 24*b**2*n**4 + 98*b**2*n + b*n**2 wrt n?\nAnswer: -360*b**2*n**2 - 576*b**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, -8, -92, -4 in decreasing order.\nAnswer: 1, -1, -4, -8, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 7:16 PM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of -79*b**6\/3 - 44*b**3 - 52. Find the third derivative of z(y) wrt y.\nAnswer: -9480*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 730*j**2 - 1085 + 1815 - 730 + 343*j**2.\nAnswer: 1073*j**2","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: Solve 4*j**4 + 11744*j**3 + 11069916*j**2 + 3383671104*j - 3394752768 = 0.\nAnswer: -1353, -792, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6066544 rounded to three dps?\nAnswer: -0.607","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 34 (base 7) to base 2\nAnswer: 11001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-15)\/(-10))\/((-6)\/(-8)). Suppose -2*c + 3*t = -51, 23 = 2*c + 3*t + f. Let g = -93 - -97. Solve g*z - 2 - c = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.03 + 8?\nAnswer: 58.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 7272, 7290, 7320, 7368, 7440, 7542?\n\"Answer: g**3 + 11*g + 7260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -5464*d + 27994. Determine r(5).\nAnswer: 674","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = g, 2*i + 49*g = 52*g - 61. Let a be (-2)\/4*-16 + -3. Let d be (a\/(-4))\/((-3)\/(-60)). Which is smaller: d or i?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3417201 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1909521 by 1773.\nAnswer: -1077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 - 2*x**2 + 5*x + 4. Determine h(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 5*g = -5, 31*g - 27*g = 4 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1292511587?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 818282?\nAnswer: 2, 79, 5179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 + 7*s - 7. Let f be d(-11). Let v = f + -32. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c**3 - 26*c**2 + 122*c - 1083. Determine t(11).\nAnswer: -225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -5*n**2 + 0 - 4 + 14*n**2 + n**3. What is the tens digit of w(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 - 11. Let f = -6 + m. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 2:00 AM?\nAnswer: 3:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1626783960.\nAnswer: 2, 3, 5, 13556533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17739*b**3 + 901102*b**3 + 283241*b**3 + 164508*b**3.\nAnswer: 1366590*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3, -23, -55, -99, -155, -223, -303?\n\"Answer: -6*a**2 - 2*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -69 + -25 + (33 - -27)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4238623 or 4238621?\nAnswer: 4238621","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/9, -4, -17 in decreasing order.\nAnswer: -4\/9, -4, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 515063369 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 6)*(-4*r + 4*r - r)*(2*r - 8*r - 10*r).\nAnswer: 16*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -117904838*h**3 - h - 88828283 wrt h?\nAnswer: -707429028*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7081 - -7333. What is the lowest common multiple of 9 and l?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 695 is divided by 41?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 + 4*b**2 - b + 841. Is o(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2600)\/(-156) + -21 + 4. Which is the third biggest value? (a) 21 (b) 80 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7468 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + u - 1147, -1911 = -5*o + 38*u - 39*u. Is 26 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = -3*b - 3 - 9, 2*b = z + 3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 16*s**5\/5 - 492*s**4\/5 - 1196*s**3\/5 + 228*s**2\/5 + 236*s + 264\/5 = 0?\nAnswer: -2, -1, -1\/4, 1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 975 = 5*z, -3*z + 5*y = -7*z + 780. Does 2 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8 + 77?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 323290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 51813522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1655 (base 8) in base 2?\nAnswer: 1110101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + (-6 - 7 - -8). Let o = -28 + 29.8. Let w = 0.5 + o. Which is the smallest value? (a) y (b) 0.4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -493*f = 505*f - 1012*f - 196 for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of j**3\/6 + 44*j + 2. Let p(h) = -4*h - 4. Determine v(p(s)).\nAnswer: -4*s - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325) - (sqrt(325) + 2) - sqrt(325)) + sqrt(325) - sqrt(325) - sqrt(1573)*2 - (1 + sqrt(468))*-4.\nAnswer: -3*sqrt(13) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 4 = 0, 0*g + g + 3*m = 40. Suppose -20 = -2*n - 5*k, 3*n = -2*n + k + 104. What is the remainder when g is divided by n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 19*i**2 + 3*i**2 - i**2 + (3*i + 3*i**2 - 3*i)*(-1 + 3 + 1) + 4*i**2 - i**2 + 0*i**2.\nAnswer: 33*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7409027 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -4*x. What is the third derivative of -2*d**4 + x*d**4 + 4*d**4 - 3*d**2 wrt d?\nAnswer: 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -11 (b) 0.08 (c) 4\/849\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/12*-2*-2*(15 - 12)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*i**3 + 9037*i**2 - 14669*i + 5640.\nAnswer: -(i - 1128)*(i - 1)*(8*i - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -36 >= -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of j**3 + 0*j**5 + 0*j + 0*j**4 + 0*j**2 - 8 + 4\/3*j**6. What is the third derivative of d(q) wrt q?\nAnswer: 480*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a tonne in kilograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/7, -2\/321, 39078 in ascending order.\nAnswer: -1\/7, -2\/321, 39078","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 498682 - 498682 + o**2.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + b)*((-3*b - 3*b + 5*b)*(19*b + 21*b + 0*b) + (-5 + 3 + 3)*(2*b - 5*b + b)*(-2*b + 2 - 2)).\nAnswer: -36*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -12*y**3 + 4*y**2. Suppose 3*o - 20 = -35, -x + 18 = -5*o. Let z(m) = -25*m**3 + 7*m**2. Calculate x*u(s) + 4*z(s).\nAnswer: -16*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/(-60)*(-12)\/8. Sort -3, i, 0.4, -24\/19.\nAnswer: -3, -24\/19, i, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*u + 347 = 614. What is the remainder when 38 is divided by u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*0.308\nAnswer: 0.154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((4*(1 + sqrt(325) + sqrt(325)) - 3*(0 + sqrt(325)))*-1)**2*-1.\nAnswer: 600*sqrt(13) + 24423","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*x = -17*x + 4*j - 934160, 5*j + 934241 = 4*x. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000198858912 rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -229, -392, -553, -712, -869, -1024?\n\"Answer: f**2 - 166*f - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 615, 1227, 1835, 2439, 3039?\n\"Answer: -2*o**2 + 618*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of 7\/3*z**3 + 2*z + 0*z**2 + 0. Let q(y) = -2*y. What is l(q(x))?\nAnswer: -28*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 16 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 i when two letters picked without replacement from wvkkikgwikwii.\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 37 + -19. Let z = -15732.36 + 15750.35989. Let h = a - z. What is h rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-54)\/(-8)*(64376320\/15)\/(-32) + -8. Round d to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0012687017 to four decimal places.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - 6 - (2 + (4 - 2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/(-30))\/(2\/(-9))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84289 is divided by 669.\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0\/4)\/4 - -2. Suppose 3*x = -5*l - 7, 3*l + x = -l. Solve l = h + p for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -245*k**3*z + 34*k**3 - 110*k + 7*z**2 wrt z?\nAnswer: -245*k**3 + 14*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + 12*a**2 + 2*a + 35. Let i be s(12). Suppose -2088 = -i*o + 23*o. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 106848 to the nearest integer?\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8313996*i**2 - 185*i**3 - 8313996*i**2 - 95*i.\nAnswer: -185*i**3 - 95*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -160223 by -1.\nAnswer: 160223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -347463 (base 11) in base 15?\nAnswer: -ad677","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2547*i - 420 wrt i?\nAnswer: -2547","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 + 11. Let n(a) = -4*a + 5. Let t(w) be the first derivative of 3*w**2\/2 - 4*w - 63. Determine x*n(q) + 3*t(q).\nAnswer: q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3097 + -898613.4264\nAnswer: -901710.4264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 92*q**2 - 80*q - 1340. What is the ten thousands digit of x(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 1725?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 354*f - 3491 = -1721 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19 - 38907*g - 4*g**3 + 0*g**3 - g**2 + 38896*g + 3*g**3 to a*g + h + l*g**2 + f*g**3 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*h + 0*h - h)*(1 + 1 + 3) - h + 2 - 2 + h - 4*h + 2*h + 4 - 7*h - 4 + 4 as z + j*h and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 1 = -r. Suppose d - r*x = -15, x - 4*x + 10 = -d. Differentiate 2*j - d - j**4 + 5*j - 7*j wrt j.\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 319*m = 81*m + 12366, -5*b + 5*m = 330 - 60 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 277, 4, 48, -2.\nAnswer: -8, -2, 4, 48, 277","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wcp when three letters picked without replacement from cppwuu?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -8*z + 7. Let x be u(-6). Let v(r) = r**3 - 6*r**2 - 14*r - 11. Let g be v(8). What is the highest common factor of x and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 4:03 PM?\nAnswer: 12:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 10101010101111011 (base 2) in base 6?\nAnswer: 1512415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-11)\/3)\/((-7)\/42). Let u be 0\/(2\/(-1)) - s. Let l = 63 + u. What is the remainder when l is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 = -3*s - 23. Let t = 22 - s. Let g(n) = t*n + 3*n - 3*n - 2*n. Let v(p) = 15*p. Calculate v(g(l)).\nAnswer: 30*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 k when three letters picked without replacement from {k: 3, z: 4}.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7\/3 of a day?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000649029 rounded to 7 dps?\nAnswer: -0.0000649","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 18433 (base 9) in base 15?\nAnswer: 3b9c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/69*4\/14*(-362910)\/(-96776)?\nAnswer: -5\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 2*m)*(-24*m**2 + 190*m**2 - 80*m**2 + 172*m**2).\nAnswer: 516*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - q - 11 = 0, 2*q + 71 = 5*l + q. Suppose -2*f = f - l. Let n = 1174 - 1174. Solve f*j - 3*p + 25 = -2*p, n = -3*j + 2*p - 15 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-3)*((-620)\/40 - -11)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -93*j**4 - 2176*j**2 + 2*j + 2163075 wrt j.\nAnswer: -372*j**3 - 4352*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 - -5 - -15*8\/(-20). Let l be 22\/88 - q\/4. Is 1\/395 != l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 19 = 2*x, 5*x - 7 = -2*f + 3*f. Which is smaller: 4 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 228\/(-72) - (-3 + -1). Which is the second smallest value? (a) 0.1 (b) -0.06 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**4\/5 - 4121*p**3\/5 + 4122*p**2\/5 = 0. What is p?\nAnswer: -4122, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q**3 + 3*q**2 + 2*q. Let t(y) = -y**3 - 8*y**2 - 2. Let l be t(-8). Let h be b(l). Is 2\/h + 464\/64 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of -f**5\/240 - 133*f**4\/12 - 35378*f**3\/3 - 54*f**2 + f - 24. Factor s(w).\nAnswer: -(w + 532)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of -p**2\/2 + 17*p + 4. Let i be z(0). Let q be (152\/(-16) - -8)*-34. What is the greatest common divisor of q and i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -19585, -78338, -176273, -313402, -489737, -705290?\n\"Answer: -2*v**3 - 19579*v**2 - 2*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, -7\/3, 1.6, 3, -2\/25, 1\/3 in decreasing order.\nAnswer: 3, 1.6, 3\/5, 1\/3, -2\/25, -7\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75246?\nAnswer: 2, 3, 12541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 + 1)*(-6*h + 3*h + h)*(2*h + h - h)*(-66837 + 1020*h + 66837) to the form u*h**2 + d + r*h**3 + g*h and give r.\nAnswer: 4080","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8644, -17288, -25932, -34576, -43220, -51864?\nAnswer: -60508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 - 55*l - 3029. What is r(81)?\nAnswer: -923","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -282*p = -829646 - 462478. What is the highest common factor of p and 232?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a milligram in micrograms?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 159 divided by -194164.\nAnswer: -159\/194164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(20) + (-2*sqrt(2880) - sqrt(2880)))\/(sqrt(90)\/(sqrt(18)\/sqrt(2))) + (sqrt(320) + -2*sqrt(320))\/sqrt(10)*1)**2.\nAnswer: 3042","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 121*g. Let w(k) = -6103*k**2. Calculate w(c(l)).\nAnswer: -89354023*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 2:13 PM?\nAnswer: 8:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 - 4. Let u be ((-40)\/180)\/(((-8)\/(-3))\/4). What is the nearest to u in 0.5, -1, v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7.4*827\nAnswer: 6119.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 322400021 to the nearest integer?\nAnswer: 17956","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8.4 + 2.6. Let q = v - 15. What is the second biggest value in 4, q, -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g - 85 = -72. What is the nearest to g in -0.3, 8, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1738 - 1729. Suppose -15 = -12*z + y. Let -20\/3 + 14*u - 4\/3*u**z = 0. What is u?\nAnswer: 1\/2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6 (b) 356 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 40*c**2 + 21*c + c**4 + 2 - 70*c + 44*c as j*c**4 + d*c**3 + w + s*c + g*c**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*y + 4*y - 4*y + 1)*(-5 + 1 + 5)*(-2 + 1 - 6)*(-3*y**2 + 0*y**2 + 2*y**2) to the form n + h*y**3 + z*y**2 + p*y and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 4*h**2 - 9. Suppose 5*w = n - 37, -2*w - 5*n = -3*w - 17. Let l(t) = 5*t**2 - 10. Let f(y) = w*x(y) + 6*l(y). Differentiate f(s) wrt s.\nAnswer: 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 46 = 6*q + 10, 2*a - 4 = -2*q. Solve -56*f + q = -55*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3612\/(-504) - (-7)\/(42\/27)\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(5) + sqrt(15)\/sqrt(3))*6.\nAnswer: 36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5413.903 rounded to the nearest 100?\nAnswer: -5400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0736435 - -0.07302. Round j to 4 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tvtytfzt. Give prob of sequence yf.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 3, 2\/19, 2\/3, 43?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 46899739609 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -44 + 44. Suppose -5*a + 8*a - 10779 = o. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 362378 is divided by 38?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 3*w + 27. Let o be h(-6). Suppose 0*a - a + 3 = 0. Suppose -a*l + o = -0*l. Solve l = 4*d - 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 3*x = -3*c + 107, 18 = c - 4*x. Find the first derivative of -c*h - 67 + 93 + 5*h wrt h.\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 2*l + 8, -5*l - 2*v + 1 = -17. Suppose 0 = l*g + 3*g - 225. Suppose -3*t - 4*u = -23 - g, -3*t = 3*u - 72. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2264\/11 - -206. Which is the nearest to -3? (a) f (b) -3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - 3*(-5)\/3. Calculate the highest common divisor of 21 and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 + 2*q**2 - 2. Let g be z(-2). Let d = g - -5. Suppose -16 = -3*t - 2*r, -4*t - r + 13 = -0. Solve b + t = d for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7 - -5 - 5) + -1\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + (1 - -15) + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-15)\/(-3)*-1 + 425 + 5?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236157.1 rounded to the nearest 10000?\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3\/5 - 9988*o**2\/5 + 49898*o\/5 - 39912\/5.\nAnswer: 2*(o - 4989)*(o - 4)*(o - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 2721?\nAnswer: 5442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1037 (b) 370 (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**(-6)\/s)\/s**7)\/(s**3*s**(2\/9)))\/(((s*s**(-2))\/s)\/(s\/s**(2\/9)*s)*((((s*s**(1\/4))\/s)\/s)\/s)\/s*s**(-5)*s*s*s) assuming s is positive.\nAnswer: s**(-277\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m + 3. Let r(b) = 5*b + 4. Let a(d) be the third derivative of -d**4\/24 - d**3\/6 + 6*d**2. Let v(c) = -6*a(c) - r(c). Calculate 2*l(q) - 3*v(q).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/27 and -70\/1369437?\nAnswer: 12324933","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of u**5\/60 + 8*u**2. Let b be (3 + -2)\/((-1)\/5). Let h(z) = -7*z**2 + z - 1. Determine b*l(c) - h(c).\nAnswer: 2*c**2 - c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 14\/7*(-18)\/(-12). Let q be (0 - 0) + w + 0. Which is the fourth biggest value? (a) -6 (b) q (c) -3\/7 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 20 = 2*t. Let v = 2 - t. Let w be 30\/5*4\/v. Sort -2, -3, w in increasing order.\nAnswer: -3, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 - -20. Let d = l + -4. What is the derivative of 0 - 1 - 2 + 4 + 2*t**d wrt t?\nAnswer: 8*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4447 divided by 6\nAnswer: -4447\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -14*m - 5. Let k(i) = 9*i + 510. Let p be k(-57). What is x(p)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qpiqpjpaanapna. Give prob of picking 2 n.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -2, -46 = -8*q + 6*q + 2*w. Let j(r) = -308*r - 19*r**2 + q*r**2 + 308*r. Let x(v) be the third derivative of -v**5\/60 - v**2. Calculate x(j(h)).\nAnswer: -9*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a kilogram in grams?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 3*i**3 + i**2 - 3*i - 3. Let d be b(-2). Suppose 3*q - 1 + 31 = 0. Let t = q - d. Solve g + t = 3 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372052157713710 plus 2?\nAnswer: 372052157713712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6424191 is divided by 254.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z**4\/15 + 1010*z**3\/3 + 10904*z**2\/5 + 70376*z\/15 + 10048\/3 = 0 for z.\nAnswer: -1256, -5\/2, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 3043006 = 2*z, -2*z = 6*o - o + 15215006. What is o rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-70)\/(-4))\/(-7)*-6. Suppose -3 = -0*c - c. Suppose c*d - 36 = i. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z = 2*z + 12. What is the third derivative of -z*p**5 - 5*p**2 + 0*p**5 - 5*p**5 wrt p?\nAnswer: -480*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 982 and 5892?\nAnswer: 5892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -4. Let q = 403 + -401.01. Let p = -0.01 - q. Which is the closest to 2\/5? (a) 0 (b) p (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3696?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -446326 (base 7) to base 6.\nAnswer: -1410001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -4\/5 (c) -162\/17 (d) -3\/172 (e) -10 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/((j\/(j**(2\/17)\/j))\/j)*j**(-22) assuming j is positive.\nAnswer: j**(-372\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -295759*q + 235 + 295761*q + 289 + q - 2 + 2 + (2 + 1 - 1)*(2*q - 3*q + 0*q) to the form u + l*q and give u.\nAnswer: 524","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155*b - 1455398 = -65*b + 1121902. What are the prime factors of b?\nAnswer: 3, 5, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = -4*h + 211. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -69, 17, 2, 4, -27 in descending order.\nAnswer: 17, 4, 2, -27, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2735322, -5470637, -8205952, -10941267?\n\"Answer: -2735315*n - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 134353, 134315, 134217, 134029, 133721, 133263, 132625, 131777?\n\"Answer: -5*v**3 - 3*v + 134361","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of -1\/20*a**5 - 17*a + 0 + 5\/12*a**4 - 2*a**2 + 1\/2*a**3. Give u(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 5*u + 142211, -k - k = 3*u + 94806. What is the units digit of 9\/(-8) + 1 + k\/(-488)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.12 and 0.099.\nAnswer: 0.219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 2. Let u = 4.042 + -0.042. What is the nearest to m in 2, u, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 898860 is divided by 1797.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of 66493562506 and 0.1164.\nAnswer: 66493562506.1164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 8850, 17779, 26790, 35883, 45058?\n\"Answer: 41*j**2 + 8806*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*(-12)\/8 - -26. Solve 3*s - s + g = -5*z, -5*s - 5 = -z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 780 - 276. Let r = j + -315. Suppose 4*i - r = -21. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 871418.\nAnswer: 2, 435709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19.1 + 21. Let l = -2 + f. Let g be (-40)\/(-80)*20\/550*-10. What is the second smallest value in l, g, 1\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.09 - -0.21. Let g = f + -2.3. Let z = g - -2.06. What is z rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/27 in 5\/8, 520, -24?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (42\/105)\/(2\/15). Suppose 6*u - 2*u = 4*n - 16, k*n = -3*u - 12. Which is the biggest value? (a) u (b) -2\/9 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.8852 rounded to 2 dps?\nAnswer: -23.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 12 = -f - 3*a, 4*a = -4. Let h(w) be the third derivative of -w**4\/4 - 7*w**3\/6 - 341*w**2. Calculate h(f).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1480778955?\nAnswer: 3, 5, 1201, 9133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -13, 3, -4 in descending order.\nAnswer: 10, 3, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of s**5\/60 - s**4\/12 + s**3\/3 + 8*s**2. Determine v(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 58649 by 3.\nAnswer: 58649\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 879113903?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiieiiie. What is prob of picking 1 i and 3 e?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-7)\/(3\/(-3) - 0). Let f = 6 - a. Let j(q) = 6*q**3 + q**2 + 2*q + 1. Give j(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2395697.1 minus -0.044?\nAnswer: 2395697.144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6534533 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 72337 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1*(sqrt(19) + sqrt(475) + -2) - (sqrt(931)*4 + -5))**2.\nAnswer: -132*sqrt(19) + 9205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 3*l**3\/8 - 6771*l**2\/8 + 13533*l\/8 - 6765\/8 = 0.\nAnswer: 1, 2255","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/4572 and 83\/20.\nAnswer: 22860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 4) in base 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6890*c**3\/9 + 6892*c**2\/9 + 41338*c\/9 - 4\/3 = 0. What is c?\nAnswer: -2, 1\/3445, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*h**3 - 1)*(6 - 6 + 8*h) + 22245 - 22245 - 593*h**4.\nAnswer: -609*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -33, -347, -869, -1599, -2537, -3683?\n\"Answer: -104*u**2 - 2*u + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1100 + -1074. Let a(p) = p**2 + 2*p - 1. Calculate the lowest common multiple of b and a(-5).\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**2 + 6912*w + 13836.\nAnswer: -3*(w - 2306)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -22*j**2 - 50*j - 31. Let s(b) = -5*b**2 - b + 1. Let i(w) = g(w) - 4*s(w). What is i(-22)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -340*g**3 - 74*g**4 + 678*g**3 - 52 - 14*g**4 + 0*g**4 - 335*g**3 wrt g?\nAnswer: -352*g**3 + 9*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a millennium in years?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 0.021, 1\/4, 1\/3?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 + s - 2. Let g be t(0). Let h(u) = u**2 - 1. Let v be h(g). Suppose 4*z = v*z - 2. Sort -5, z, 2 in descending order.\nAnswer: 2, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 4*m**3\/7 - 687060*m**2\/7 + 29611812768*m\/7 - 9318030095168\/7 = 0.\nAnswer: 317, 85724","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 708\/5*c + 248\/15*c**3 + 478\/5*c**2 + 2\/15*c**4.\nAnswer: 2*c*(c + 3)**2*(c + 118)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9178 and 7987684.\nAnswer: 706","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r**3 + 19*r**2 + 6*r - 1. Let v(q) = q**3 - 10*q**2 - 3*q. Let s(n) = 3*a(n) + 5*v(n). Let p be s(7). Let d = p - 13. List the prime factors of d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/4*(-8)\/10. Let i be 1 - (-2 - 4\/(-4)). Suppose 3*n + 20 = -i*n. Which is the third biggest value? (a) n (b) o (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -361952 times 3?\nAnswer: -1085856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g + 11 - 2*g - g**3 - 3*g**2 + 14*g**2. Let w be l(11). Solve -2 = -w*j - 2*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11982862.\nAnswer: 2, 23, 331, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1439 a factor of 122553874?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-213 - 12384\/(-56))\/(2 - (-134)\/(-70))?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 84033284+-4711\nAnswer: 84028573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (125\/(-500))\/(13 + -17 - 82\/(-8))?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 33109248*x**5 - 4156807*x**2 + 3*x wrt x.\nAnswer: 1986554880*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/13 + 16348*x\/13 + 25165338\/13.\nAnswer: 2*(x + 2057)*(x + 6117)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-10))\/((-6)\/12).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -2398.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, e: 4, o: 2}. What is prob of sequence eee?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 1 + (-5 - (-1 + -10)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1188 a factor of 4441920120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 + 8*v + 10. Determine c(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.35 - -0.6. Round s to 1 dp.\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/(-7))\/(9\/(-18)). Which is the nearest to 1\/3? (a) -1 (b) -0.16 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -40409 + 72346. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1291224306 to five dps.\nAnswer: 0.12912","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((p*p*p**(3\/4)*p*p)\/p)\/p)**42)**(-2\/93))**(-15\/8))**(-1\/5) assuming p is positive.\nAnswer: p**(-231\/248)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, -5, -0.07, 0.02 in ascending order.\nAnswer: -5, -0.07, 0.02, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -72, -1379, -4978, -12015, -23636, -40987, -65214?\n\"Answer: -191*i**3 + 30*i + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1092, 2261, 3468, 4731, 6068, 7497?\nAnswer: 9036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1701075, -3402203, -5103331, -6804459?\nAnswer: -8505587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, -9, -8, 1481, 24.\nAnswer: -9, -8, -5, 3, 24, 1481","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18684 and 864.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -732 - -2167\/3. Find the common denominator of p and 31\/7.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(13) + 2) - sqrt(1573)*2 - 5*(sqrt(13) + (sqrt(1300) + 5)**2).\nAnswer: -6635 - 532*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*g + 88*q - 95 = -42*g, q - 8 = g for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 54 - 2 - 20 - 20 + 6*d - d**2 - 16. Suppose 0 = 3*q + 7 - 25. Determine l(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bueeuwc. Give prob of picking 2 u and 1 e.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of -k**7\/42 - k**6\/30 + k**5\/20 + k**4\/12 + 4*k - 1. Let b(w) be the first derivative of t(w). Solve b(i) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 4, -0.3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(8640) - sqrt(60))\/sqrt(5))\/((sqrt(54)\/sqrt(3)*-6)\/sqrt(3)) + 2.\nAnswer: 2 + 25*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o**3 + 6*o**2 - o + 7. Let p be r(3). Suppose -j + 6 = -p*j. Is -2*(-2459)\/j*(5 - 6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21 - -2031?\nAnswer: 2010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (17 - 4 - 12).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 391 + 395 - 786 - 19*p**2. Let d(r) = 39*r**2. Determine w(d(v)).\nAnswer: -28899*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 571?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 13*(546\/(-169))\/(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 45*t - 2. Let s be c(7). Let u = s + -1540. Let j = -814 - u. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of -m**2 + 0 - 51*m + 1\/6*m**3. Calculate l(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93868217 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 2 = -0*c + 4*o, -12 = -4*o. Let k = 4 - c. What is the units digit of 10*3\/(-3 - k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*z + 2601 = 309*z for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 8 (b) -9 (c) -3\/7 (d) -0.1 (e) -0.25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, c: 1, w: 1, j: 13, l: 2, t: 2}. What is prob of sequence jzl?\nAnswer: 13\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7.694742 and -8.\nAnswer: 61.557936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 246 divide 24846?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (92 - 92 + v + 110*v)*(-3*v + 2*v**3 + 3*v) in the form k*v**2 + a*v**3 + p*v**4 + i*v + h and give p.\nAnswer: 222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22 + -20. Suppose 0 = -3*h + l - 273, 0*h - 2*l = -o*h - 182. Let p = -91 - h. Solve -5*m + s - 22 = 5*s, m - 4*s - 10 = p for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 6, 73, 212, 429, 730, 1121, 1608, 2197?\n\"Answer: d**3 + 30*d**2 - 30*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -5*k + 216. Is 18 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/12 + 201\/(-27) + 6. Which is smaller: -2 or b?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/9 (b) -2\/5 (c) -1\/2 (d) 39 (e) -182\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ry when two letters picked without replacement from {r: 1, y: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 251081.2 grams in micrograms?\nAnswer: 251081200000","meta":{"dup_signals":{},"source":"measurement__conversion_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: What is the thousands digit of 2488626527?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 74 + -72. Solve -5*b = 4*j - l, -j = -5*b + j - 16 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 0.04, -13.8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/9*(-8 + -4). Solve -c + 3*w = -12, 5*c + w + d = -0*w for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*n - 27*n - 2*z + 10 = 0, 5*n = 2*z + 2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.990996 meters in millimeters?\nAnswer: 7990.996","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1526 - 910. Let u(l) = y*l**2 + 189*l**2 - 6 + 361*l**2 - 5*l. Let t be u(-6). Round t to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.527644 to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*v**5 - 289*v**4 + 2*v**3 - 11158*v**2 wrt v.\nAnswer: 720*v**2 - 6936*v + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -70*q - 210. Give c(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 244522 is divided by 62.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - -13. Suppose -n*z = -2 - 23. Let a = -1 + 3. Solve -v + a = z for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18\/13 - -28\/39. Let x = 2\/7849 - -792729\/78490. Let d = x - 38\/5. Which is the closest to w? (a) 1\/2 (b) d (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -30.955 + -0.045. Let m = a + 27. Let x = m + 7. What is the third biggest value in 5, 2\/11, x?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5529769 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -732 (base 9) to base 14.\nAnswer: -308","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20732 + 20579. Let a = -305 - -151. Which is bigger: a or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g - 1. Let y be q(-3). Suppose -y*r = 4*o - 56, -6*o - 3*r = -5*o - 7. Suppose 0*i = i - o. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(187) - 2*sqrt(187)*-1 - sqrt(187) - sqrt(187))\/sqrt(11).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12.8 - 17.8. Let y = -29 - -32. Which is the third biggest value? (a) g (b) -3\/5 (c) y (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1124, 4527, 10218, 18215, 28536, 41199?\nAnswer: 56222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/6)\/(15\/27*3)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1663082, 1663103, 1663124, 1663145, 1663166, 1663187?\nAnswer: 1663208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-18)\/21 + 1643\/651. Let w = x - -25\/21. Suppose -w*p + 4\/7*p**3 + 12\/7*p**2 - 4\/7*p**4 + 8\/7 = 0. Calculate p.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*h - 12. Suppose 0 = h*c - 0*c - 28. Let g(m) = m**3 - 6*m**2 - 6*m + 4. List the prime factors of g(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48733 times -5.99?\nAnswer: -291910.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 768951?\nAnswer: 3, 85439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 PM and 8:16 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 23*j**2 + 47*j - 22. Let p(z) = -24*z**2 - 32*z + 16. Calculate 2*m(t) + 3*p(t).\nAnswer: -26*t**2 - 2*t + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-12)\/(-14))\/(6\/126)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nse when three letters picked without replacement from {b: 2, e: 2, n: 2, s: 5, x: 8}?\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**2\/3 - 43*l + 128\/3 = 0. What is l?\nAnswer: 1, 128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 1790916?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q**2 - 3*q**4 + 60 - 92*q**3 + 94*q**3 - 10 to b*q**2 + w*q + a*q**4 + f*q**3 + i and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -3898*y**2 + 38 - 38 + 4631*y**2 as g*y + n + j*y**2 and give j.\nAnswer: 733","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14867070 divided by 5.\nAnswer: -2973414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2, 246, 916, 2228, 4398, 7642, 12176, 18216?\n\"Answer: 36*y**3 - 3*y**2 + y - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 5:17 PM?\nAnswer: 5:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43081831.\nAnswer: 13, 3313987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1874?\nAnswer: 2, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2 = -2*f, -5*k - 3*f - 4 = 0. Let v be 1\/k*(-1 - 3). What is the derivative of -1 + v*j - 1 + j wrt j?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j**3 + 2*j**2 + 2. Let r(k) = 3*k**3 - k**2 - 3. Let y(f) = -4*h(f) - 3*r(f). Let c be y(-5). What is the highest common divisor of c and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 9229 (b) 1\/10 (c) 0 (d) 4 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*n**2 + 2*n**2 + 0*n**2)*(26869*n - 6699*n + 26574*n + 29258*n - 11306*n) in the form w*n + s + v*n**3 + r*n**2 and give v.\nAnswer: -129392","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 78928 to the power of 1\/3, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 458709.8979 rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 3 + -1 + -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of 8*p**3\/3 + 9*p**2\/2 - 6*p + 22. What is the hundreds digit of o(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -7*x**2 + 45*x - 46. Let t(h) = 16*h**2 - 90*h + 92. Let q(n) = 9*d(n) + 4*t(n). Factor q(r).\nAnswer: (r - 1)*(r + 46)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = m - 16 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 5*k - d - 3, 0 = -3*k + d - 4 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/5*k**3 - 1\/5*k**4 - 1\/5*k**2 - 6\/5*k + 0.\nAnswer: -k*(k - 3)*(k - 2)*(k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 68\/126 - (31 + 8988\/(-294)). Let k = -0.4 + 0.4. Let n(s) = -s - 3. Let i be n(-2). Which is the closest to i? (a) 0.1 (b) x (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000304 rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, n: 5, r: 1, c: 1, m: 1}. What is prob of picking 1 s and 2 n?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w**3 - 2*w**2 - 2*w + 1. Is 13 a factor of g(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -7388\/5355 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19568 by 6.\nAnswer: 9784\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4103 is divided by 601.\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 224 = 6*l + 8. Is l a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -3*s - 2. Suppose 0 = -6*n - 5*n + 99. Let z(k) = -8 - 3 - 8*k - 5 + n. Let w(u) = 11*c(u) - 4*z(u). What is w(11)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.069 + 0.936. Let k = h - 1.05. What is k rounded to two decimal places?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 AM and 10:26 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -86 divided by 65\nAnswer: -86\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -72 - -212. Calculate the smallest common multiple of 126 and w.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/3 + 1332*r**2 + 442988*r\/3 + 569360.\nAnswer: (r + 4)*(r + 110)*(r + 3882)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 459362?\nAnswer: 2, 229681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -87875123*j**3 - 35*j**2 - 17*j - 11075?\nAnswer: -527250738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16078 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a millisecond in microseconds?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - 3563?\nAnswer: -3560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 480134?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 14 = -i, 30*s - 5*i = 32*s + 31 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 69 * -238.2.\nAnswer: -16435.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 14 (b) 2\/3 (c) -1 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**3 - 3 + 3 + (-3*z + z + 4*z)*(3*z - 3*z + 2*z**2) + 5*z**3 - 2*z**3 + 0*z**3)*(-8*z - 32*z - z).\nAnswer: -369*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of m**6\/40 + 5*m**3\/6 + m**2\/2 + m. Let s(k) be the first derivative of i(k). What is the first derivative of s(l) wrt l?\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -5 - (2 + 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10387296?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4333 divided by -16.\nAnswer: -4333\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 - 14*r**2 + 6*r - 32. Let b be v(14). Suppose -b*w = -75*w + 46. Solve -w*h = 3*h + a - 5, 5*h - 5 = a for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -203 + 119. Let a = c + 85. Solve 2*m - 7 = a for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 40*d**2 + 19*d - 15. Let q be z(-19). Find the second derivative of -q - 50*w + 14064 + 12*w**2 wrt w.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 3*m - 24. Suppose 0 = m*q - 2*q - 60. Suppose 3*x + q*c + 20 = 2*c, -2*x - c - 5 = 0. Solve x*u + 5*u = 15 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 90*f + 334. List the prime factors of t(31).\nAnswer: 2, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3\/7 + 82*g**2\/7 + 1016*g\/7 + 3960\/7.\nAnswer: 2*(g + 9)*(g + 10)*(g + 22)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -681483 divided by 1?\nAnswer: -681483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -188\/375 + 46\/125. Let j = -0.1 - -0.1. Which is the second biggest value? (a) j (b) 2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 180 divide 21420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = c - 2960, 0 = -2*i - 20*c + 17*c + 1971. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 549280 to the nearest 100.\nAnswer: 549300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 4.5. Let v = o + -1. What is the third smallest value in 0, v, -2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -3*h**4\/4 - 13209*h**3\/4 - 3300*h**2 + 6603*h = 0?\nAnswer: -4402, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -99 - -188. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 711, 737, 763?\nAnswer: 789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 + 0 - 4)*(-2*v**2 + 0*v + 0*v) + (-v - 2*v - v)*(-2*v + 4*v + 0*v) as r*v + c + b*v**2 and give b.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -86b62c53 + -1?\nAnswer: -86b62c54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -3*x**3 + 5988*x**2 - 2921055*x - 67193346 = 0.\nAnswer: -22, 1009","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w - 27 - w + 7*w)*(-1 + 0 - 7).\nAnswer: -16*w + 216","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 180191 by 88.\nAnswer: 16381\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3890 plus 38?\nAnswer: 3928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cupp when four letters picked without replacement from {e: 3, p: 2, b: 8, u: 1, o: 2, c: 1}?\nAnswer: 1\/28560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 668983, 2675601, 6019965, 10702075, 16721931, 24079533?\n\"Answer: 668873*d**2 - d + 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.09 in -2, -0.08, 0.2?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 0 + 11 = 3*b, -b - 3 = v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 7*s + 4 = g, 2*g = -5*s + 60. Suppose 0 = -0*j + 5*j. Let w be ((2 - j) + 3)\/1. Calculate the greatest common divisor of g and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23 - -21. Let c(o) = o**2 + 4*o + 1 - 13*o + 5*o + 5*o. Give c(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.195 - 119.805. Let q = 337 + b. Let m = q + -218.19. Round m to one dp.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g - 5. Let o(z) = -z + 1. Let y = -3 + 2. Let b(c) = y*l(c) + 2*o(c). Determine b(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3402 + 10039\/3. Let p = x - -671\/12. Which is bigger: p or 81\/10?\nAnswer: 81\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = -3*j + 6, 2*o - 4*j - 7 + 33 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 0 - 7. Let f(w) = -11*w - r*w**3 + 0*w**2 + 10*w**2 + 8*w**3 + 2. What are the prime factors of f(-11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 + -10. Suppose -f*c + 3*c = -2. Solve -1 = d + v - 3*v, -c*d + v = -7 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 - 18*h**2 - 17*h + 7. Let c be (-3)\/((-96)\/(-16)) - (-33)\/(-2). Give u(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 160 * 13.\nAnswer: 2080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 8 - (58 - 57)) + -1\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/36 + 32\/18. Let w(y) = -y + 2*y + y**3 - 5 + 5*y**d - 4*y**2. Let l = 6 + -6. Determine w(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -47 + (-1*(-114)\/(-6) - -46 - 11)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 3 (b) 0.5 (c) -0.1 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3*3\/(-126))\/((-2)\/8). Let j = 30 + 5. What is the second biggest value in f, -2, j?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 21\/4 of a week?\nAnswer: 882","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*g + 48 = 85*g. Solve -17*s + g*s + 3 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*2\/(-4) - 0. Let a be (z - -4) + -2 - -1. Solve -16 = -4*y, -a*q + 3*y + y - 12 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 2187238.97 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l = 3*l + 567. Calculate the greatest common divisor of 21 and l.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 492755 is divided by 246325?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hohhoohosh. Give prob of picking 1 o and 1 h.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1423*-1.6381\nAnswer: 2331.0163","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - 6*s**2 - 11*s + 23. Let f be x(5). Which is smaller: f or -59?\nAnswer: -59","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 6*y - 7. Let d be u(2). Solve -3 - d = -4*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 4*y + 22 = 0, 2*y + 7 = 2*u + y. Suppose 33 = u*m + 7. What is the highest common divisor of m and 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r**13\/r))\/r)\/r*r**(16\/7)*r)\/(r**6\/(r*(r\/(r*r**(-16)\/r*r))\/r)) assuming r is positive.\nAnswer: r**(2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -10*n - 18*n - 7*n + 23*n - 5*n. Let f = -43 + 48. Let l(k) = -f*k**2 + 0*k**2 + 2*k**2 - k**2. What is l(q(t))?\nAnswer: -1156*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**0*t)**(-41)*(t**(2\/21))**(-1\/7) assuming t is positive.\nAnswer: t**(-6029\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94 = -9*z - 100 + 221. Let s(l) be the first derivative of -12\/5*l**5 + 0*l - 5*l**z + 0*l**2 + 0*l**4 + 1. Find the third derivative of s(c) wrt c.\nAnswer: -288*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 54 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 PM and 2:52 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 0, -3*m - 40 = -3*j - j. Suppose -6 = 8*q - j*q. What is the remainder when 42\/4*(-4)\/(-6) is divided by q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 62398260 and 144.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004555577 rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/661904 and -59\/1489284.\nAnswer: 5957136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**2\/3 - 357188*j\/3 - 31895816836\/3 = 0. Calculate j.\nAnswer: -178594","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -2360810 to the nearest 10000.\nAnswer: -2360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/6 + (-565)\/15. Let o = 59 + u. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 211511 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 271*v - 9*v - 5764. Solve 0 = -v*b + 21*b + 3*t - 12, -5*t = -4*b - 34 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) -2\/19 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 67 - 80 = 0. Let f(a) = a**3 + 10*a**2 - 11. Let m be f(-8). What is the highest common factor of m and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -342, -355, -392, -465, -586, -767?\n\"Answer: -2*b**3 + b - 341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-84)\/8 - -9) + 15\/2. Suppose c*n + 12 = 12*n. Solve -4 = -n*x - 2*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135005813 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 470305 to the power of 1\/3, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*((-1)\/(-1) - 1). Calculate the least common multiple of 4 and 1 + k + (-24)\/(-12).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8\/7, -1, 1\/6, 3\/199 in decreasing order.\nAnswer: 1\/6, 3\/199, -1, -8\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 + -0.1517092204735\nAnswer: -0.6517092204735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/sqrt(3) + 4 + 2 + (sqrt(2) + (sqrt(98) - sqrt(2)) - sqrt(2)).\nAnswer: 6 + 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 11\/(-11) + 4 + -2. Let v be 4\/6 + 60\/18. Let w(d) = -d + 1. Let h(c) = -2. What is v*w(n) + x*h(n)?\nAnswer: -4*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -3*v + 606. Suppose -97*w = -v*w + 12. Suppose -2*f**5 - 5 + 20*f - 57*f**w - 2*f**2 - 5*f**4 + 12*f**2 + 17*f**3 + 22*f**5 = 0. Calculate f.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7590\/4761*23 - 40\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p = 76932 + 23476. What is the thousands digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 25 = 25. Let s = -12 + v. Calculate the remainder when 29 + (0\/3)\/s is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 352 and -157?\nAnswer: -55264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.667025 decades in months?\nAnswer: 440.043","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64 = -38*m + 558 for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -206069 - -29?\nAnswer: -206040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*f**4\/3 + 5275*f**3\/3 + 103820*f**2\/3 + 110400*f = 0. What is f?\nAnswer: -1035, -16, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 112 by -6.\nAnswer: -56\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4.1, 3, -6439, -2\/13, -1\/6?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 22.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 792 and 468?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 3 h when four letters picked without replacement from {h: 4, w: 3, m: 1}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvm when three letters picked without replacement from mvvvvmmvvmvm.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 138 = -156. Let j(v) = -49*v - 4. Let u be j(-4). Let l = u - r. Is l a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k**3 - 1285*k**2 + 2*k**3 - 257*k**2.\nAnswer: 2*k**3 - 1542*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*20\/375*30\/12.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -82*r + 822. Give w(11).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4367?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 389*m**2 - 792 - 146*m**2 + 792 - 185*m**2.\nAnswer: 58*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 + 32. What is the highest common factor of b and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6\/1345 or -1?\nAnswer: 6\/1345","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -73\/11 + 12703\/1914. What is the common denominator of w and -127\/54?\nAnswer: 17226","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of j**5\/5 - 7*j**4\/2 + 13*j**3\/3 + 798. Determine x so that k(x) = 0.\nAnswer: 0, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 217\/(-385)*5 - 1*-3. Which is the closest to 1\/5? (a) -0.07 (b) -18 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 25*t - 7. Let w(v) = 13*v - 3. Suppose -j + 5*q - 33 = 0, -5*j - 25 = 4*q + 24. Let h(f) = j*w(f) + 6*c(f). What are the prime factors of h(-2)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(3\/11)\/(t*(t\/(t*t*t\/t**20))\/t) assuming t is positive.\nAnswer: t**(-195\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 6*j + 10 = -4*a, 0 = 4*a + 2*j + 6. Let u be (a\/(-8) - 1) + (-10210)\/40. Let y = u + 359. What is the tens digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1065 = -19*d - 913 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q\/((q\/(q**0*q*q)*q*q)\/q*q)))\/q)\/q*q)**44\/((((q*q*q\/((q*q**0)\/q)*q)\/q*q)\/q*q*q)\/q*(q**(-4)*q*q)\/q) assuming q is positive.\nAnswer: 1\/q","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, w: 1, y: 2, o: 4}. Give prob of picking 2 o and 1 i.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2626 and 28039115.\nAnswer: 1313","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 - 15. Let y = -32 - -22. List the prime factors of (-64)\/y - 4\/b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l**2 + 8*l + 2. Let k be w(-7). Suppose 0 = 3*u - 40 - 158. Calculate the greatest common divisor of k and u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -112 - -346. Let t = h - 89. Suppose -2*z = -5*p + 38 + t, 3*p + 4*z = 115. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-246)\/36 + 7\/(-42).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/2351 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 3)*(-7593*p**3 + 7595*p**3 + p**5 + 0*p**5 - 48*p**2).\nAnswer: p**5 + 2*p**3 - 48*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*c + 124*c - 3915 = 250*c for c.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17219 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 234 - 73 = 23*q for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -7*n**2. Let z(i) be the second derivative of i**7\/840 - 7*i**4\/12 - 10*i. Let t(o) be the third derivative of z(o). Give q(t(u)).\nAnswer: -63*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of q**7\/840 + q**6\/360 + 13*q**4\/8 + 11*q**3\/3 + 6. Let o(s) be the third derivative of u(s). What is the tens digit of o(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 99089?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 15994, 15917, 15856, 15817, 15806, 15829, 15892?\n\"Answer: p**3 + 2*p**2 - 90*p + 16081","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 4*w + 45. Let h(j) = 9*j + 89. Let n(f) = 7*d(f) - 3*h(f). Let t be n(0). What is the tens digit of (t\/(-15))\/(3\/(-15))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 101875006?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of t**6\/120 - 2*t**5\/15 + t**4\/3 - 3*t**3\/2 + 2*t**2. Let n be q(7). Is (2 + 1\/n)*18 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*(-10)\/4)\/(405\/(-972)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - 10000111111111101?\nAnswer: -10000111111111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.6, 5, -111219 in increasing order.\nAnswer: -111219, 0.6, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = t + 7, 4*t + 6 = -i - 9. Let w = -0.46 + 0.16. Let k = 28 + -28.4. Which is the nearest to i? (a) k (b) w (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80006141?\nAnswer: 863, 92707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -684 + 686. Solve 2*r - k*u = -u - 10, 5*r + 14 = -3*u for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -d + 15. Suppose 2*l + 6 = t + l, t + 2 = -3*l. Suppose -a + 3*h = 4, -3*a + 7*a - t*h = 8. Solve -a*b = -0 + d for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1375300 and 1375220 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 - c**2 + 6*c**2)*(-4*c**2 + 3*c**2 + 4 - 1).\nAnswer: -4*c**4 + 12*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -35*h**4 + 111*h**3 + 110*h**2 - 40*h - 4. Let b(f) = 70*f**4 - 223*f**3 - 220*f**2 + 80*f + 7. Let y(a) = 4*b(a) + 7*n(a). Factor y(w).\nAnswer: 5*w*(w - 4)*(w + 1)*(7*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f + 114 - 303 = 0. Let i = -146\/7 + f. Put 2\/19, 1, i in increasing order.\nAnswer: 2\/19, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 9) in base 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/26 + 10\/65. Let p(i) = 3 + 3*i - 10 + i**2 + h*i. What is the units digit of p(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 2 = 4*g. Let v be (((-624)\/40)\/(3\/(-10)))\/g. Let k = v + 43. Calculate the remainder when k is divided by 29.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 253 and 23.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 129 and 1061063872.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - -14) + 4 + 6\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 72481422?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (4\/((-24)\/315))\/((-1)\/274)?\nAnswer: 3, 5, 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2120546 - 22887.796.\nAnswer: -2143433.796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 417291 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/(-42)*18)\/(4\/10)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -584, -1252, -1920, -2588, -3256, -3924?\n\"Answer: -668*r + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.24 and 6 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/696822941 or 0?\nAnswer: 1\/696822941","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = j - 4*s - 0, 26 = -4*j + s. Is 12 a factor of (20\/j)\/(-10 - (-2148)\/216)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.192 + -0.212. Which is the nearest to 1\/2? (a) -2 (b) 2 (c) -5 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, d: 3, m: 2, e: 1, r: 1}. What is prob of picking 2 d?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 80*l**2. Let c(j) = 68*j - 33*j - 33*j. Determine c(f(x)).\nAnswer: 160*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 373 is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cp when two letters picked without replacement from wakrccaaaakwp?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = -5*g + 15, -11*g - 36 = -9*g + 5*s for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/12 - 204\/(-16). Suppose 21 = -10*y + b*y. Let g(s) = -y*s**2 + 20*s**2 - 9*s**2. Let a(r) = 4*r**2. Calculate a(g(h)).\nAnswer: 64*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 513431 (base 10) to base 7\nAnswer: 4235612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16172501 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125 = -133*i - 8. Which is the third smallest value? (a) -4\/7 (b) i (c) -1\/3 (d) 1.9 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 293135507?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*m - 77 = 36*s - 31*s, 0 = -s + 3*m - 13 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-nine halves of a litre?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-66606)\/2612*2\/(-3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21103312 (base 4) to base 11.\nAnswer: -26718","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*w**2*z**2 - 482*w**2*z - 3*w*y + w*z - 34626*y*z**2 - 1079*y + 12*z**2 wrt z.\nAnswer: -4*w**2 - 69252*y + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 + -20. Let q be (-4)\/f - (-14)\/21. What is the third derivative of -6*b**3 + 13*b - 13*b - 2*b**q wrt b?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1408 and 14448?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2450158, -2450160, -2450162, -2450164?\nAnswer: -2450166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + -3. Let q = 1 + h. Let r(o) = 3*o**3 + q + o**2 - 1 + 2*o + 2. Determine r(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 47\/14 - 20\/7. Let s(a) be the second derivative of 0 + 1\/12*a**4 - 1\/3*a**3 - 3*a + p*a**2. Factor s(y).\nAnswer: (y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1\/4 = 377821?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1112*h*k - h*n**2 - 2*k*n**2 + k*n + 693*n wrt h.\nAnswer: 1112*k - n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x - 4. Let h be (-1)\/(-4) + (-11)\/(-4). Let l be y(h). Suppose 4*j - 5 = -i, -2*j + 3*i + i = l. Solve -u - j = -0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y - 25 + 3*y - y. Let n be a(7). Let g(l) = 3*l**2 + 9*l - 5. Let j be g(n). Solve -2*b + 4*r - 22 = 0, j*b + 14 = 3*b - 2*r for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 394 (base 12) to base 14.\nAnswer: 2ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49, 106, 263, 422?\nAnswer: 583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - -44543?\nAnswer: 44544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2031 + 216953 = -415*l + 936934. Does 8 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + 15. Let i = -20.09 + z. Let p = i + 0.104. Round p to two decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 - 3*j + 2. Let c be n(-4). Suppose 0 + 12 = -4*h. Is (c\/h)\/(10\/525) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 7 = -3. Let d(l) = 11*l**2 + 2*l + 1. Suppose 4*z + 2*p = 58, -p = 14*z - 18*z + 49. What is the remainder when d(f) is divided by z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7280 and 6552.\nAnswer: 65520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-1*((sqrt(192) + -1)*-3 + sqrt(192) + (sqrt(192) - -3*sqrt(192)*-1)))**2 + -3.\nAnswer: -4800*sqrt(3) + 77022","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (112\/(-210))\/((-2526)\/421)\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 64 + (28 + -19 - 21 - 3).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + (-40)\/70)*-7. Suppose x - 4*f = 311, 4*x + f - 1740 + 428 = 0. Suppose -401 = -u*m + x. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 + 8*q - 12. Let y be a(6). Let b(u) = 3*u + 80. Is 16 a factor of b(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-2) - (3 + -2). Let d = i + 6. Let h = d - 0. Solve 6*p = h*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -70 - (-1)\/3*0. Let o = l + -21. Round o to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7779.147 and 0.05.\nAnswer: -388.95735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (10\/(-14))\/((-35)\/42). Factor 6\/7*t**2 - x*t**3 - 2\/7*t + 0 + 2\/7*t**4.\nAnswer: 2*t*(t - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*l**3 + 7*l**3 + 60*l**3.\nAnswer: 36*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 4 + 11 = -3*q, q + 5 = -4*w. Let a(b) = -2*b**2 - 11*b - 3. Let g be a(q). Factor -3\/4*h**g - 3\/4*h**3 + 3\/2*h**4 + 0*h + 0.\nAnswer: 3*h**2*(h - 1)*(2*h + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - 22223?\nAnswer: -22230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 932039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 w when two letters picked without replacement from {c: 2, a: 1, i: 1, f: 1, s: 1, w: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1430697752?\nAnswer: 2, 11, 2521, 6449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33240.93 decades to years.\nAnswer: 332409.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - -3. Let s(k) = 14*k + 6. Let z(x) = 3*x + 1. Let n(p) = -s(p) + 5*z(p). Let r be n(a). Let d(l) = l**2 - l - 4. Determine d(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46447 = -337*h - 493*h - 479*h + 160330 for h.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -q**3 + 233 - 241 - 412 as c + a*q**2 + r*q**3 + x*q and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 11372\/36 + ((-15)\/27)\/(-5). Let g = -279 + j. Which is smaller: g or 38?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11.988 + -0.012. Which is the second biggest value? (a) 0.2 (b) -0.1 (c) 1\/8 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1041\/2 - -442. Let q = 767\/10 + f. Is q smaller than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2798410357 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**5 + 328*g**4 - 3494*g**3 - 2284*g**2 + 26328*g - 20880 = 0. What is g?\nAnswer: -174, -3, 1, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + v = 13, 3 = -3*q - v + 4*v. Suppose -1012 = q*j - 1438. List the prime factors of j.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 535 and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1021124341 - 0?\nAnswer: -1021124341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -444, -942, -1492, -2094?\n\"Answer: -26*z**2 - 420*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 224\/32*((-430)\/210)\/(32\/(-24))\nAnswer: 43\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 2*o = -m - 2*o + 6*o, 0 = 4*m + 5*o for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.04778, -2, 0.2, 4 in decreasing order.\nAnswer: 4, 2, 0.2, -0.04778, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -4*k**3 - 20*k**2 - 133*k - 39. Give z(-4).\nAnswer: 429","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 12:00 PM?\nAnswer: 10:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1560725 and 1149?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -51.2.\nAnswer: 5.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 6, d: 13}. Give prob of picking 3 x.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6040 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.17 - -2.17. Let h = -26 - -29.7. Let d = -4 + h. Which is the third smallest value? (a) d (b) -1\/3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 - 3. Let u be j(0). Let f(m) = -4*m**2 - 2*m. Let o(n) = 2*n**2 + n. Let z = 25 - 30. What is u*f(l) + z*o(l)?\nAnswer: 2*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 + 1)*(6383 + 47*v**2 - 6383) + (0 - 2 + 0)*(-2*v**2 + 1 - 1) in the form j + m*v + w*v**2 and give w.\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3850763.\nAnswer: 7, 89, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 14 = 10. Let r be 3*5\/(30\/u). Suppose -4*h = -5*p + 28, -4*h = r*p - 2*h - 12. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (745 - 745 + c**2)*(-c + 6*c + c).\nAnswer: 6*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -123805154*m**6 - 12405*m**2 + 3146 wrt m.\nAnswer: -14856618480*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5383 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 - 6*s + 1. Let m(d) = d**2 - 11*d + 2. Let c(l) = 6*m(l) - 11*t(l). What is the derivative of c(q) wrt q?\nAnswer: -10*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/3, 4, -6, -1, -7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 + 34 = -4*a + 2*v, 0 = -4*v + 20. Let q = a - -31. Let y(u) = 95*u - 95*u + 2*u**q. Let r(i) = -10*i**2. Determine r(y(c)).\nAnswer: -40*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of -1\/4*r**4 + 1\/10*r**5 + 0 - 15*r - 5\/2*r**2 + 2\/3*r**3. Calculate the remainder when m(3) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in 1118, 4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 a, and 2 b when four letters picked without replacement from rbgibriao.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1394 or -1393?\nAnswer: -1394","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/10)\/(51*3510\/(-15300))\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -20, -46, -74, -104, -136, -170?\n\"Answer: -u**2 - 23*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of b**7\/3 - 53*b**3\/6 + 47*b. What is the second derivative of p(g) wrt g?\nAnswer: 280*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 6*n - 2. Let g be 3\/(-2) + (-27)\/(-6). List the prime factors of y(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h + 6*h = -6. What is the smallest common multiple of 1 and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/3? (a) -8 (b) -2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 1, 5*d - 4*g = -5*g + 21. Suppose -68 = -d*v - h, -6*v + h = -3*v - 58. Calculate the remainder when 33 is divided by v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 234 and 29034.\nAnswer: 377442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 15) to base 14\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 3*v - 2*o, 3*v - 4*v + 14 = 4*o. What is the highest common divisor of v and 235?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 8) to base 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 649 - -260061?\nAnswer: 260710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35 - (0 + -2) - (35 + -46 - -20)) + -7.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of -r**5\/40 - 183*r**4\/8 - 24653*r**3\/4 + 383645*r**2\/4 + 6997*r. Factor j(i).\nAnswer: -(i - 5)*(i + 277)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/12832 and -65\/3661932?\nAnswer: 29295456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -24125724 divided by 287211?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + -3. Let y be 2100*(h + 836\/(-6)). Round y to the nearest 10000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1117197550 to the nearest integer?\nAnswer: 1038","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 AM and 2:43 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 - 3)*(-8)\/6. Let n(f) = 11*f**3 - 2*f**2 - 2*f - 1. Let t be n(-1). Let i be t\/10*(-15)\/6. Solve -i*j - j = l for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/4)\/(34\/204)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -59595488 < -59595490?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 PM and 7:43 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*j - 17*j = 0. Which is smaller: -5\/158 or j?\nAnswer: -5\/158","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - -2. Let h(o) = 2*o**2 + 2*o + 3. Let q(r) be the second derivative of 0 + 5\/2*r**2 + 1\/3*r**4 + 1\/2*r**3 - 14*r. Determine p*q(s) - 5*h(s).\nAnswer: 2*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -104138\/59, 27 in descending order.\nAnswer: 27, 0.5, -104138\/59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 5:14 AM?\nAnswer: 10:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 75215012 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 + 26. Suppose -d + h = d - 63, 2*h = -2*d + 66. What is the greatest common factor of d and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 3*k - 28 = 0. Let j = -5 + k. Suppose 3*b - j = 15. What is the remainder when 29 is divided by b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5609 = 612*y + 3571 for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2 + 84\/5*t - 36\/5.\nAnswer: 3*(t + 6)*(5*t - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000100 (base 2) to base 15.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.058 and -19401?\nAnswer: 19400.942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000011175 to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3630829*h**3*i**3 - 8078*h**3*i**2 + 2*h**3*i - 3*h**2*i**2 - 25*h**2*i + 8 wrt i.\nAnswer: -21784974*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 - 5*z**2 + 6*z + 1. Give j(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.41 * -2.709\nAnswer: 1.11069","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4966 = 235*q - 2616 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = 4*b + 32. Let l = b - -43. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + -8. Let h = j - -1. Sort -2, h, 0 in increasing order.\nAnswer: h, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11516 and 128.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-130)\/(-14) + (-4)\/14. Let i = -12 - -16. Let x = i + 1. Solve 1 = x*t - r for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -156 - -156. Suppose n = -8*y - 8*y + 32. Solve 5*h - y*h + 5*a - 10 = 0, h = -4*a + 1 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**2\/5 - 489537*x\/5 - 979062\/5.\nAnswer: -3*(x + 2)*(x + 163177)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6153650?\nAnswer: 2, 5, 23, 5351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3 - 23*w**2 - 111*w - 153.\nAnswer: -(w + 3)**2*(w + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*w - 4*w + 415. Let f = w - -91. Is f - 4 - 8822\/(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*n**3 + 32 + 32 - 64.\nAnswer: 6*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 304*c + 8 - 1467*c + 1158*c.\nAnswer: -5*c + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 PM and 11:26 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1209182573 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2*11\/44 + 0\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -2\/5 (c) 1\/2 (d) -14 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/16052 and 17\/2240.\nAnswer: 8989120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000544533873 to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 33775196?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 2*d = 20. Let b = -1 + d. Suppose -4*f + 92 + 176 = b*o, -380 = -5*o + 4*f. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**3 - 24*o**2 + 252*o.\nAnswer: -3*o*(o - 6)*(o + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = r - 3*b + 13, 5*b - 25 = 5*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005409399 to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 106 = 2*q, 4*p - 4*q = 45 + 51. Let f = -74 - -151. Calculate the greatest common factor of p and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 957714809 to the nearest integer?\nAnswer: 986","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of -k**4\/3 - 5*k**3\/6 - 49*k**2. What is u(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(4\/3)*(-36)\/(-297).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - 7*c**2 + 8*c - 6. Let f = 37 + -31. What is the least common multiple of 30 and r(f)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*(-4)\/24)\/((-43)\/387) - -20.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1321974*q**2 + 2*q - 13251189?\nAnswer: 2643948*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 608 = -250*f + 288*f for f.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jafafraa. Give prob of picking 2 f.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 2*z = -7 - 13, 4*l - 2*z - 16 = 0. Suppose -4*f = -5*t + l, 2*f = 4*t + 2 - 4. Suppose -3*g = 2*g - 135. Solve -4*m + 11 - g = t for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 6.235577 millennia?\nAnswer: 62.35577","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6 - 127?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -3*k + 23 - 2, w = 4*k + 18. Let p be ((-592)\/(-3))\/((-4)\/(-6)). Suppose -40*m + 3*m = -p. Calculate the lowest common multiple of m and w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/90 and 83\/56.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from esueuyyeeu. Give prob of picking 1 s, 1 u, and 2 y.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seventeen quarters of a gram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-4\/3)*x*x*x**(-19)*x*x**26\/x**6 assuming x is positive.\nAnswer: x**(8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*a + a - 120. Let w = 26 + a. Solve -w*z = z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122983 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-13)\/(-65) - (-33)\/(-15). Let j(u) = 5*u + 2. Let p(l) = -1. Let g(z) = -27*z - 9. Let a(o) = -3*g(o) - 6*p(o). Determine f*a(d) + 33*j(d).\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 5) to base 13.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6\/7*a**2 + 2\/7*a + 6\/7*a**3 - 2\/7*a**4 + 0 = 0 for a.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -95690*r - 133634?\nAnswer: -95690","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 60, 1\/5, 11, -2\/9, 0, -13?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w**2\/5 + 391552*w\/5 - 35988928\/5 = 0.\nAnswer: 92, 97796","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 - 2*f. Let y(l) = -2*l**2 + l. Suppose -3*z + 7 - 19 = 0. Let a(v) = z*y(v) - 5*x(v). Find k such that a(k) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10871.01918 seconds to weeks.\nAnswer: 0.01797456875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -5*f**3 + 2*f**2 - f + 4. Let i be (-6)\/8*3*16\/12. What is the tens digit of g(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-336 + 95 + 169)*(3*o - 2*o**2 - 3*o) to u + a*o**2 + j*o and give a.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*h - 3 - 16*h + 17*h + 4731*h**3 - 281*h**3 - 13*h.\nAnswer: 4450*h**3 + 2*h - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that x**3 + 2761*x**2 - 761792*x + 2260500 = 0.\nAnswer: -3014, 3, 250","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-3\/17)\/(w*w*w**(4\/3)) assuming w is positive.\nAnswer: w**(-179\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -5, 9 in increasing order.\nAnswer: -5, -3, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1341 + 0*y**3 + 25*y - 3*y**3 + 2*y**2 + 0*y**2 + 5*y.\nAnswer: -3*y**3 + 2*y**2 + 30*y + 1341","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minus 0.0476907?\nAnswer: 34.9523093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 183600 rounded to the nearest ten thousand?\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00235 rounded to four dps?\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hdb when three letters picked without replacement from hbbhhdbh.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p - 4*p + 3*p)*(-p**2 + 2*p**2 - 32 - 37).\nAnswer: 2*p**3 - 138*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gy when two letters picked without replacement from byybbgbzdz.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a micrometer in nanometers?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1\/43 - -51\/344. Suppose 22*p = -6*p. Let h be (-5 - p) + 226\/46. Sort a, 5, 3, h.\nAnswer: h, a, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -212.15 - -90240.\nAnswer: 90027.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2 and -284.\nAnswer: -282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 2:23 AM?\nAnswer: 5:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/9 and 101\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.4 + 7. Let i = x - -0.4. Which is the nearest to i? (a) -4\/5 (b) 0.3 (c) -1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27604394?\nAnswer: 2, 13802197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*x - 8 = -25*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 - 29*o**2 + 28*o + 2. Suppose -j - 2*j + 3*g + 84 = 0, 0 = g. Let n be d(j). Let a = 48 - 289\/6. What is the nearest to -0.1 in a, n, -2\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/349984 and -11\/23011448?\nAnswer: 92045792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1259 by -62728.\nAnswer: 1259\/62728","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 253838 is divided by 124283?\nAnswer: 5272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -100695 divided by 20139.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27909*o - 22427*o + 9587*o.\nAnswer: -40749*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-4*((sqrt(78) + sqrt(78)*-1)*-4 + sqrt(78)))\/((5*2*sqrt(12))\/(1*sqrt(4)\/sqrt(2))).\nAnswer: -12*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 129\/5 in -376, -6\/11, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-24)\/(-5) - 2\/(-10). Let i be s\/(-30) + 31\/6. Suppose -26 - 19 = -i*m. What is the highest common factor of m and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t**2 + 5*t - 12. Is 5 a factor of a(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 69.96.\nAnswer: 13.992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7548?\nAnswer: 2, 3, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add -37455 and 0.27.\nAnswer: -37454.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 14, -15 in descending order.\nAnswer: 14, -2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 0 - 112*u + 4 + 2 - 530*u in the form c + x*u and give x.\nAnswer: -642","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)*1*-1)\/(-2*sqrt(729)) + (1*sqrt(119)*-3)\/((sqrt(140) + sqrt(35))\/sqrt(5)).\nAnswer: -17*sqrt(17)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 188 + -9?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3240 and 657?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42618 is divided by 425.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 3*z - 15. Let f be n(13). Suppose -f*y - 60 = -30*y. Calculate the greatest common factor of y and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 66 = 15*d. Is 6 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 - 5*s + 5. Let m be o(2). Let c = m - -3. Let h(d) = 2*d + 3. Determine h(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 100*m + 70. Let j(h) = 21*h + 14. Let u(v) = 28*j(v) - 6*x(v). Let k be u(-10). Calculate the greatest common divisor of k and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24248 is divided by 315.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/48 and 131\/6480.\nAnswer: 6480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1809 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((137 - 137 - 70*f)*(-2 + 2 + 2) - 2*f + f + 3*f)*(1 + 0 + 45) to y*f + x and give y.\nAnswer: -6348","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -147 + 146.6. Let w be (2\/6 - 0)\/(-1). What is the nearest to 1\/3 in -0.1, w, h?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-4)\/n**2)\/(n\/((n\/n**(2\/3))\/n))**(-37))**(3\/31) assuming n is positive.\nAnswer: n**(167\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 275176562.\nAnswer: 2, 137588281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 4*g - 4*g)*(5*g**2 + 4*g - 4*g - g).\nAnswer: -5*g**3 + g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - 6. Suppose x = -4*b + 16 + 24. What is the smallest common multiple of 1 and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 923*g - 1836*g + 66 - 68 + 918*g.\nAnswer: 5*g - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -5*t. Let r(i) be the second derivative of -i**3 - 42*i. What is r(o(p))?\nAnswer: 30*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00008441689 to five dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 1\/3, -3, 1\/2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -523, -932, -1335, -1732?\nAnswer: -2123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 894969.6nm in meters?\nAnswer: 0.0008949696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 303 (base 5) to base 14.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -39845344, -39845345, -39845346?\n\"Answer: -n - 39845343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-303 + 90 - 328)*(-2*l + l - 6 + 3*l)*(-5 + 3 + 4).\nAnswer: -2164*l + 6492","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -2 - -17) + (302 - 307)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzbbbttbzzbbbzbbz. Give prob of picking 1 z and 1 b.\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, q: 1, s: 6, u: 2, y: 3}. Give prob of sequence fsy.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of -c**5\/20 + c**4\/12 + c**3\/6 + 9*c. Suppose g = 5*b - 3*g + 3, 0 = 3*b + 5*g - 13. Let l be p(b). Which is greater: 3 or l?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -1 + 3 + 2 + 9*f - 6*f. Let o(t) = 12*t + 15. Let a(c) = 23*c + 29. Let z(j) = -4*a(j) + 7*o(j). Calculate -11*x(n) - 4*z(n).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1473 + -1470. Sort -3, 23, -5, o, 2.\nAnswer: -5, -3, 2, o, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/2)*h)**(-23)*(h*h**7)\/(h**(3\/2)\/h) assuming h is positive.\nAnswer: h**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 160?\nAnswer: 800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -282 + 4152*x - 2076*x + 282 - 2074*x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2*sqrt(475))**2.\nAnswer: 1900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - n + 0 + (-4*n + 6*n + 0*n)*(3 + 3 - 7) + (0 + 0 - 2*n)*(-451 - 212 - 5)*(6 - 2 - 3).\nAnswer: 1333*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 + 4*l**2 + 3*l + 27. Calculate the remainder when 29 is divided by b(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 252\/35*1\/((-3)\/(-10)). Let y = -20 + k. Solve 3*j - 10 = -y for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*o**2 - 2*o**2 + 4*o**2)*(12*o**2 + o**2 + 4*o**2 + (-o + o - 4*o**2)*(1 - 8 + 0)) in the form i*o**2 + c*o**4 + u*o + f*o**3 + j and give c.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.09263291 to one decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -84*s**2 - 1560*s + 1580. Let b(j) = 13*j**2 + 240*j - 243. Let f(c) = 32*b(c) + 5*g(c). Factor f(r).\nAnswer: -4*(r - 1)*(r + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (717 - 5) + (-1 - 0\/(-1)). Let q be z\/6 + 5\/10. Let t = q + 41. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 257\/84974 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9032187?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**3)**(-8\/3))**(-1\/12)*(m**1*m*(m\/m**1)\/m)\/((m*m**(-6)\/m)\/m**8) assuming m is positive.\nAnswer: m**(47\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 1.54923.\nAnswer: -3.09846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.35087 to 3 dps.\nAnswer: -0.351","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*b - b + 4*b + (-3 - 3 + 4)*(b - 3*b + 0*b) + 2 - 2 + 2*b - 5*b + 0*b + 6*b - 19 + 12 + 6*b + 10 in the form a + x*b and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -17*k**2 - 1. Calculate s(-1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2984564, 5969136, 8953708, 11938280, 14922852, 17907424?\nAnswer: 20891996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 2, 7*y - 12 = -4*l + 3*y. Let a = l - -72. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - i + 16, -2*o - 2*i = -5*o + 20. Let y be o\/18 - 5848\/(-5031). Factor y - 12\/13*k + 2\/13*k**2.\nAnswer: 2*(k - 3)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 88, 2\/21, -1\/10?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6950 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-48*k**2 + 4*k**2 - 235*k**2)*(1 + k - 1) to the form c + d*k**3 + o*k + a*k**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, j: 1, y: 1, i: 1, r: 1}. What is prob of picking 1 r, 1 u, and 1 i?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*m**2 - 39*m**2 - 71*m**2 + 12*m**2.\nAnswer: -102*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -122*k + 80*k + 4200. Calculate the greatest common factor of 825 and k.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.69 + 0.21. Let q = -1 + d. Let v = 462565\/7 - 66081. Sort v, 36, q in ascending order.\nAnswer: v, q, 36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 3571 = -5903. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27219173 by -11933.\nAnswer: 2281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 221 and 28067?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -612904.88295713 + 612366.88296. Let t = 538 + s. Round t to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -152 - (-114 + (-61 - -50))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34.03613 decades to centuries.\nAnswer: 3.403613","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2 and 59?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1332\/3355 + 2\/671. Sort -54\/7, 4, p in decreasing order.\nAnswer: 4, p, -54\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -565900 rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1 - 1)*(-115)\/10 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 12:12 AM?\nAnswer: 5:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fji when three letters picked without replacement from {i: 2, j: 9, f: 3, n: 3}.\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 19 = 5*a, 4*s + 5 = -7. Let l(o) = -1 - a*o**2 - o**2 + 0*o**2 - o**2. What is l(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/4 (b) 4.3 (c) 0.0173669\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-45 - (-12582)\/270 - (36\/10 - 1))*3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 5 = -2*n, 0 = -2*z + 220*n - 222*n for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5842, -11685, -17532, -23383, -29238, -35097?\n\"Answer: -2*c**2 - 5837*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/4 - (-6)\/(-4). Let o = 1 - d. Calculate the remainder when o is divided by 12\/(-9)*6\/(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -845668 + 13\nAnswer: -845655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 4. Suppose g - 6 = -3*k, 4*k - 7*g + 2*g = -11. Put k, w, 2 in increasing order.\nAnswer: w, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7749*z + 3893*z = -3788*z - 884 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -11\/5 (b) 0.08 (c) 2\/15 (d) 1092\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12819 + 9050271\/706. What is the common denominator of 143\/18 and u?\nAnswer: 6354","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, y: 4, e: 2, u: 1, l: 1}. Give prob of sequence ylue.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6 + 10 - 4) + -6. List the prime factors of 7434\/30 + c\/(-30).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 3) in base 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = w - 657, -5*t + 1753 = -5*w + 133. Let i = t + -149. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of -g**6\/24 + 11*g**5\/36 + 5*g**4\/18 - 3*g**2. What is r in t(r) = 0?\nAnswer: -1\/3, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 14 and 12.6.\nAnswer: 26.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of 3*y**5\/20 - 5*y**4\/4 - 3*y**3 + 62*y. Suppose p(s) = 0. What is s?\nAnswer: -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and 60?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - 2*o + 3 + 9, 2*o = 2*j. Suppose 5*k = j*k + 15. Let d be (-2)\/k + 57\/180. Which is the closest to 1? (a) -2\/7 (b) d (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/1*(-21)\/(-6). Find the common denominator of (44\/y)\/((-24)\/(-14)) and -9\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/45? (a) -0.1 (b) -5\/4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -3 + 1 + (-38)\/(-8)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 48697986*q - 614753224.\nAnswer: 48697986","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 9*b**3 - 83*b**2 + 139*b - 1467. Give f(9).\nAnswer: -378","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 111, 217, 321, 423, 523?\nAnswer: 621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of 0*t + 0 - 1\/5*t**5 - 3\/8*t**4 - 3*t**2 + 1\/2*t**3. Solve j(m) = 0 for m.\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -62.202 to the nearest integer.\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + -1 - (-5 - -2). Suppose -5*m + 27 = -2*q - 52, 3*q = t*m - 66. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -11*b - 15. Let o(t) = -5*t - 8. Let a(m) = -9*o(m) + 4*s(m). Let z be a(-9). Solve -l - z*n = -9, 5*l - l + 8 = -n for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1333949?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46 = 10*h - 4*x - 6, -2*x + 0*x + 3*x + 13 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 63*t - 60*t. Suppose -15*y + 3329 + 1396 = t. Does 45 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2088059?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -6*u**2. Let z(d) = 36253*d. Give z(t(k)).\nAnswer: -217518*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -20478560 at most as big as -20478558?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 9:18 PM?\nAnswer: 7:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/(2 - 21\/10))\/4. Put 1, 0.13, o in decreasing order.\nAnswer: o, 1, 0.13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1394573 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(2) + -1 + sqrt(2)) - (sqrt(2) + sqrt(54)\/sqrt(3)) - ((sqrt(1694) + sqrt(1694)*3)\/sqrt(7))**2.\nAnswer: -3877 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 74 - 79. Let n = -2620 + 2621. Which is the nearest to -4\/3? (a) s (b) 1\/2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 6 + 5)*(-5*a + 0*a + a)*(5 + 0 - 3).\nAnswer: -32*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2295 and 101115.\nAnswer: 1718955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 27 = -3*w, 6*i + i - 78 = -30*w + 3*i + 264 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -14.239070398 and 7.8.\nAnswer: -6.439070398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 16526 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = -104\/39435107?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3898657 or -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -653*s - 297*s**2 + 4888*s + 7500 - 1269*s + 4234*s + 3*s**3 = 0. What is s?\nAnswer: -1, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*m - 534 = -c + 91*m, -3*c = -2*m - 1613. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7881980?\nAnswer: 2, 5, 394099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 (base 13) in base 3?\nAnswer: -1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 486 is divided by 82.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/6*2*-19. Suppose -6*r + 16 = -38. Find the second derivative of -j*n - 34*n**5 - 2*n + 12*n**5 + r*n wrt n.\nAnswer: -440*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/((-39)\/13))\/((25\/5)\/(-15))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 54 + -52. Solve -h*m + 1 = 2*t - 5, 3 = 5*t + 2*m for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -20.58134 to 1 dp.\nAnswer: -20.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 + 19. Let v(o) = 18*o - 7. What are the prime factors of v(y)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = 2*r - 7, -2*p + 29 = 6*r - 3*p for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -990*x + 779 + 976 = -945*x for x.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 9 and -22.938.\nAnswer: -13.938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 171818 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n**3 + 0*n + 3*n**3 + 2*n - 2*n**2 - 6*n**3. Let s be r(-3). Is 2 - (s + 40)\/(-1) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 - 11*t**2 - 13*t - 23. Determine w(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1598.1 + 1599. Let g = 1 + -2. What is the nearest to 1\/4 in -3, g, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 less than 10.8133?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 - 3*a + 5. Let j = 20 - 18. Let i be m(j). Suppose -11 = -i*b + 4. Solve 6*u = -5*v + 2*u + 21, -20 = -b*u for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6076 - -6076.0000048215. What is k rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 + 9*y**2 - 11*y - 6. Let i be 2 - 3 - (-18)\/(-2). Let d be a(i). Suppose 0 = 2*k - 8. Is d greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 38867\/17490 - -4\/795. Calculate the common denominator of 2\/6 + (-586)\/84 and m.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 495 is divided by 109.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 4*c**3 - 3 - 2*c**3 - 6*c**2 + 1 as y + r*c**2 + q*c**3 + x*c and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w - 3. What is the remainder when l(-3) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*q - 182 = 376 - 123 for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -2 + 1 - (6 + -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-88)\/18)\/(-2))\/((-427933)\/(-233418))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 16 = f - 16, -f + 4*m = -40. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(468) + -1))**2 - ((sqrt(117) - (sqrt(117) - -2*sqrt(117)*-4))**2 + sqrt(117)).\nAnswer: -435*sqrt(13) + 9396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/((-168)\/244) - (-6)\/(-2). Is 5 greater than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15479a (base 11) in base 16?\nAnswer: 3ab98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1555 - 1554.97. Suppose 6 = h + h. Let m be (-155)\/(-30) - 1 - 4. Which is the biggest value? (a) m (b) h (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of 3*y**5\/4 - y**4\/12 - y**3\/6 + y**2\/2 - y. What are the prime factors of t(1)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4254 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 4*g - 25 = -5*p, 2*p = 3*g + 35. Let v be 1*(-2)\/p*1. Which is the smallest value? (a) 0 (b) v (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 83 + -73. Differentiate j*a**3 - a + 5*a - 4*a - 19 wrt a.\nAnswer: 30*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37645 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 413 a factor of 1833673744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/((-42)\/(-15)))\/(35\/(-14))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 0*k - k - 8 = 0, 10 = y - 2*k. Let j be (-27)\/18 - 22\/(-4). Suppose 0 = 2*w + 4*n + 24 - 10, j*w - 16 = 3*n. Solve y*z = 11 - w for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 minus 40791?\nAnswer: -40783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 79 + -81.97. Let m = o + -0.03. What is the second smallest value in 2, 4, m?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-20)\/(-5))*1612\/(-117)*288\/(-16).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 55109 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16641*o = 4308*o - 73998 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 1333*n. Let h(p) = -2*p - 1. Determine a(h(v)).\nAnswer: -2666*v - 1333","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6421958.1 rounded to the nearest one hundred thousand?\nAnswer: 6400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2.5 times -575775\nAnswer: 1439437.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c. Let g(j) = -5*j - 1. Let v(w) = -2*g(w) - 6*h(w). Let q(u) = -2*u. Calculate q(v(d)).\nAnswer: -8*d - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o*o**(-7))\/o**(-19))\/((o*o**(4\/17)*o)\/(o**(15\/4)*o)))**(-3\/4) assuming o is positive.\nAnswer: o**(-3369\/272)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d + 32 = 12*d. Suppose -2 = -o + d. Let t be (-32)\/o*(-406237 + -13). What is t rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 302461?\nAnswer: 19, 15919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 14030730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 322 - 292. What is the greatest common divisor of 165 and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2057413g to kilograms.\nAnswer: 0.0002057413","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 83538 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -161?\nAnswer: 3\/161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 PM and 1:57 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 14 = -3*q. Let h(z) = z**2 - z - 22. Is 14 a factor of h(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-8))\/(45430\/3245).\nAnswer: -1\/56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 48, -1195, -3?\nAnswer: -1195","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of -9*q**2 - 5*q**2 - 36*q - q**2 + 51 - 71*q. Differentiate w(l) wrt l.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 + 16. Solve -3*c + c - y = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6312 (base 7) in base 8?\nAnswer: -4246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y + 49. What is the remainder when 236 is divided by j(-1)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1276, 1275, 1274, 1273?\nAnswer: 1272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7085.\nAnswer: 5, 13, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 62 + -53. Suppose -d*y - 15 = 3. Which is smaller: y or -9\/11?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -36*d**3 - 20*d**2 - 11*d + 6. Let n(h) = -7*h**3 - 4*h**2 - 2*h + 1. Let k(g) = -293*g - 3518. Let y be k(-12). Calculate y*a(j) + 11*n(j).\nAnswer: -5*j**3 - 4*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -997071, -1994166, -2991261, -3988356, -4985451, -5982546?\n\"Answer: -997095*m + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -244*n + 4490 = -234*n. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {d: 12, n: 6}?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 268495 = 5*n - 0*r, r + 268500 = 5*n. Suppose m = 3*v - n, -v - 5*m + 25012 = 7117. Round v to the nearest 1000.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -106, -714, -2318, -5416, -10506?\n\"Answer: -83*r**3 - 27*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -333*m + 330*m - 9, p - m = 32 for p.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 385660, 771318, 1156976, 1542634?\n\"Answer: 385658*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5472)*1)\/sqrt(2) + 0 - (sqrt(76)*2 + sqrt(76))**2*-5*1)*-3.\nAnswer: -10260 - 36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 528931526 to the nearest integer?\nAnswer: 809","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 173 - 68 + 315*g - 105 to the form v*g + o and give v.\nAnswer: 315","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**1*x*x)**20\/(x**(-2\/13)\/((x**(-1\/7)*x)\/x)))**1 assuming x is positive.\nAnswer: x**(3641\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = o - 0*o. Let j be -4 + 954\/(10 - 4). Let f = j - o. Does 29 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + q**2 - 2*q - 1. Let y(a) = 33*a**3 - 3*a**2 + 2*a - 23. Let z(s) = -6*v(s) + y(s). Is z(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1033595, 1033590, 1033585, 1033580, 1033575?\n\"Answer: -5*g + 1033600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42146432 and 96.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of g**2 - 9*g + 4. Give f(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 18 + 10 + 10*v**2.\nAnswer: 10*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-100)\/(-3)*(-81210)\/(-1). Round a to the nearest one hundred thousand.\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.206 * 14\nAnswer: -2.884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4439 times 3620?\nAnswer: 16069180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -36 + 4. What are the prime factors of l*3\/2 + 3?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 + 21057.\nAnswer: 21057.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 561461?\nAnswer: 561461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/282 and -37\/3.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 576 is divided by 73?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, e: 1, k: 2, f: 1, y: 2, l: 8}. What is prob of sequence ley?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/558 and 1\/186.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 178 - 80. Let k = t + -103. Which is the third biggest value? (a) -0.1 (b) k (c) -2\/7 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*d + 5*d + 7*d + 2*d + 0 + 0 + (-5 + 1 + 3)*(-1 + 1 - d) + 3*d - 5 - 2*d - 3*d.\nAnswer: 18*d - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 13*f**2 - 9*f**2 + 0.\nAnswer: -22*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4472*i**6 + 10*i**4 - 263*i**2 + 2*i + 482.\nAnswer: -536640*i**3 + 240*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (66\/(-264))\/(1\/20)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13859 is divided by 443.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/(-8))\/((17169\/(-472))\/97)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1505 - 3792 = -c. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of -3*u**5\/5 + 5*u + 7. Differentiate x(t) with respect to t.\nAnswer: -12*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.01 in 7, -3, -2\/3, -7, -6\/13, -1041?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dkedskkkefe. What is prob of sequence fesk?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9926423*l**3 - 12*l + 153820 wrt l?\nAnswer: -59558538*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 541 + -3411210?\nAnswer: -3410336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.1817014km?\nAnswer: 181701.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 0.1, -3\/28, -89 in ascending order.\nAnswer: -89, -3\/28, 0.1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 6. Let k = -2 - g. Let j be ((-3)\/9)\/(256\/(-192)). Which is the nearest to k? (a) j (b) 1 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 13. Suppose -2*t - 1 = -n, 0*n = 5*t - h*n + 10. Solve 0 = -3*l + 2*o - 17, t*l + 11 = l + 2*o for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6441.7 and 0.5.\nAnswer: 3220.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.109271 to two dps.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171)*1 - sqrt(171))**2 - sqrt(19))*4 + 1 + 2*(sqrt(19)*-2*-1 - sqrt(19))*2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60) - 5*sqrt(480)\/sqrt(8))\/(sqrt(588)*1) - (5*((sqrt(500)*-2 - sqrt(500) - sqrt(500) - sqrt(500)) + 2))**2*-3.\nAnswer: -105004*sqrt(5)\/7 + 937800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17 - (-18 - -13)) + 29 + 24\/8.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -18879 and 5551.\nAnswer: -13328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-52)\/(-2))\/(20\/(-260)*13)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a**2 - a - 4. Let r(t) = t**3 + 5*t**2 - 3*t - 9. Calculate 5*o(j) - 2*r(j).\nAnswer: -2*j**3 + j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 215930 divided by 16610\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3261 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 741.59997779 - 741.6. What is m rounded to 6 dps?\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*g**4 - 22*g**4 - 78 - 2*g - 68 + 34*g**4 to t*g**2 + v*g**4 + i*g + k*g**3 + o and give o.\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25 - -37. Let d = 18.1 - w. Let t = d + -6. Sort -2, -0.2, t in decreasing order.\nAnswer: t, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16016935 to the nearest integer?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 7246560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 3*q - 6, 3*n - 3*q - 78 = -0*q. Suppose -69 - n = -3*a. Is a a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -166 or -191?\nAnswer: -191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -6*c**2 - 2*c + 3. Let r be t(-3). Let f be (-15)\/r - (-196)\/6. What is the second derivative of f*m**3 - 2*m - 13*m - 13*m**3 wrt m?\nAnswer: 120*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lo when two letters picked without replacement from laoloool.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 24, 190, 2, -5.\nAnswer: -5, -2, 2, 24, 190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 53982244 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccc when three letters picked without replacement from {j: 7, c: 6}?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-1))\/(6\/(-4)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -186*u = 275*u - 493 - 21635. Determine c, given that 192\/5 - 24\/5*c**4 + 48\/5*c**2 - u*c + 3\/5*c**5 + 48\/5*c**3 = 0.\nAnswer: -2, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of d**6\/24 + d**5\/15 - 3*d**3\/2 - 11*d**2. Let l(q) = q**2. Let b(v) = -4*l(v) + n(v). Differentiate b(a) with respect to a.\nAnswer: 15*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -1. Let u(t) = 2603*t + 18. Let f(o) = 6*g(o) + u(o). Let b be f(-4). Round b to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/195 and -9\/2405.\nAnswer: 7215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b**2 + 10*b + 5. Let x(d) = -4*d**2 - 24*d - 12. Suppose 12*n + 0*n + 144 = 0. Let w(o) = n*p(o) - 5*x(o). Let j(t) = 69*t**2. Calculate j(w(m)).\nAnswer: 1104*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 5\/4 of a gram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -491774*w**3 + 600753 wrt w?\nAnswer: -1475322*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/2, -1174, 9901, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 1004*x**3 - 330*x**2 + 11*x + 11. Let n(a) = -201*a**3 + 66*a**2 - 2*a - 2. Let j(l) = -2*g(l) - 11*n(l). Find the third derivative of j(b) wrt b.\nAnswer: 1218","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2534*a**2 - 2*a + 2290?\nAnswer: -5068","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.8? (a) 0.6 (b) -0.09 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**3 - 4*h**2 + 270*h + 792 = 0. Calculate h.\nAnswer: -11, -3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1614 + 485. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 AM and 4:12 PM?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is 0 minus -716.96654101528?\nAnswer: 716.96654101528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do -15331 and -15331 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72 is divided by 53?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a millennium in months?\nAnswer: 21000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3403872?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20.525 + 25.525. Let q = -1.7 - -58.7. Sort q, -1\/4, k in ascending order.\nAnswer: -1\/4, k, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 1136\/56 + 2\/(-7) + -5?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-27)\/(-7) + 360\/315. Let q(u) be the third derivative of -1\/48*u**4 + 0 - u**2 + 0*u + 1\/240*u**6 - 1\/6*u**3 + 1\/60*u**b. Factor q(i).\nAnswer: (i - 1)*(i + 1)*(i + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1531*v - 8787*v - 168921 - 186623 for v.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence knk when three letters picked without replacement from knnknknnknnnnkknknn.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3\/(-42)*6 - 1962\/(-21) is divided by 92.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20257 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**2\/6 + 2880*y + 2488320.\nAnswer: 5*(y + 1728)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y + 7. Let d be s(-5). Let r be (-2)\/4*(-12)\/d. Factor 0 + 0*q - 2\/3*q**4 - 1\/3*q**5 + 0*q**2 - 1\/3*q**r.\nAnswer: -q**3*(q + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of -o**4\/6 + 4*o**3\/3 - 9*o. Determine v, given that z(v) = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v - 6*v**2 + 3*v + 4*v**2)*(4*v + 2*v - 8*v).\nAnswer: 4*v**3 - 4*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 - 9*h - 15. Let t be r(-11). Let l = t - -39. Solve l*g = -p - 1, -3*p - 1 - 4 = 4*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) 38 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 99840?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = 2*u - 2*r + 3*r, 5*u - 2*r = 167. Let j = -28 + u. Let k(n) = 4*n + 1. Let g(l) = -3*l - 2. Let m(t) = j*k(t) + 6*g(t). Give m(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 0*w - w**3 + 477 - 8*w**2 - w - 479. Calculate l(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 - 8*u**2 - 10*u - 11. Let o be g(-6). Let k = o + 27. Suppose 12 = -4*s + k*q, -q + 2 + 3 = s. Solve -v + 4 = -s for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 123*t - 11. Let x be (-12)\/(0 + -3) - -2. Let d = -2 + x. Is k(d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hm when two letters picked without replacement from {h: 1, m: 5, w: 1, q: 5, x: 4, p: 1}.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -4*i + 10. Let b(c) = 5*c - 10. Let n(x) = 6*a(x) + 5*b(x). Let k be n(-5). Solve 11 = -2*o + h, -3*o + k*h - 19 = 3*h for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8036660 a multiple of 92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(39)\/(sqrt(9)\/(sqrt(3) + sqrt(6)\/sqrt(2))).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in one tenth of a millisecond?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 4*s = -0 - 14, -2*p + 3*s = -12. Suppose -p*y - 985 = -2*d, -y - 3*y + 1920 = 4*d. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12006\/8 + (-45)\/60?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 + 4*y + 7. Let s be j(8). Suppose 3*c + 2*w = 109, 2*c + 3*w = -c + 108. Let p = c + s. What is the greatest common divisor of p and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 2 e when four letters picked without replacement from {h: 2, o: 1, e: 4, f: 6, i: 3, x: 3}?\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 f when two letters picked without replacement from mtftmotmtomttmmmt.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*1*(42\/(-7))\/(-156).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -11 + -17 - -10\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 5:30 AM?\nAnswer: 3:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -8*j**3 - j**2 + 1. Suppose -18 - 13 = 5*b + 2*i, -2*b + 3*i = 1. What is the remainder when (4\/b)\/((-4)\/70) is divided by t(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l. Let z(t) = -1319*t**2 - 1579. Determine z(u(j)).\nAnswer: -5276*j**2 - 1579","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 54 and 10.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbbbbbtbtbbttbbbb. Give prob of picking 1 t and 3 b.\nAnswer: 364\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3413151 to the power of 1\/3, to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 - m - 1. Let z(a) be the second derivative of 1\/10*a**5 - 1\/6*a**4 + 6*a - 2\/3*a**3 + 0 - 3*a**2. What is 4*k(b) - z(b)?\nAnswer: -2*b**3 - 2*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n + 1. Let i(k) = 17*k - 8 - 32*k + 8*k. Determine -i(d) - 5*z(d).\nAnswer: 2*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112454075.\nAnswer: 5, 53, 84871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-2*sqrt(684) - sqrt(684))**2 + (sqrt(684) + sqrt(684) + (sqrt(684) + -2 - sqrt(684)))*2.\nAnswer: 24*sqrt(19) + 6152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = n - 2*w + 11, 0 = 3*n + 3*w - 12. Solve n*a + 2*a = 2*s + 28, -a = s for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**4 + 3*l**4 - 4*l**4 + (l**2 - 3*l**2 + 5*l**2)*(0*l**2 + l**2 + 0*l**2) + l**4 + 0*l**2 + 0*l**2.\nAnswer: 5*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9092 by -4.\nAnswer: -2273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -495, -988, -1481, -1974?\nAnswer: -2467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 - 7*f**2 - 6*f - 14. Let g be p(8). Solve -5*v + g*d = 12, -4*v + 0 = -3*d + 4 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -6. Let i = 8 + w. Is 125 + (-1 - i\/(-2)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*1*sqrt(102))\/sqrt(6)*3 - ((3*sqrt(204)*-1)\/sqrt(12) + -5).\nAnswer: 5 + 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 + 12*t**2 + 9*t + 18. Let i(x) = 46*x**2 + 39*x - 38. Let w be i(1). Suppose w + 70 = 9*v. What is n(v)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(238)\/(sqrt(7)*3))\/sqrt(2) + (5 + sqrt(68) + 4)**2).\nAnswer: 298 + 218*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s. Let q(w) = 2*w. Let x(l) = -10*h(l) - 4*q(l). Let v(u) = 9*u**2. Give x(v(i)).\nAnswer: 18*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1583 - 7917\/5. Which is the fourth biggest value? (a) 144 (b) 1\/3 (c) u (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -311 + 303 + (46 + -5 + 7 - 7).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (70\/315)\/(4\/((-12)\/(-5))). Let t = 1025 + -1034. Which is the nearest to -10? (a) g (b) t (c) -4\/5 (d) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 7*j - 90. Let m = 18 + -31. Let x = m + j. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from keeewfekwewwfkfwe.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -23*r**2 + 3*r - 2. Let q be g(2). Let s = -76 - q. Solve -h + s = -4*h, 4*t = -2*h - 28 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 + j. Let h(r) = -2*r**2 - 6*r. Let k(w) = -w**3 - 12*w**2 + 15*w + 25. Let v be k(-13). What is v*h(f) - 6*l(f)?\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43, -31, -35, -61, -115, -203?\nAnswer: -331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 15*h - 3. Let f be i(-6). Let s be 5\/2 + f\/(-2). Suppose -5*k = -3*y - 69, -4*k + 5 = -2*y - s. What is the lowest common multiple of k and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1756.3015 - -1839.28. Let k = f + -83. What is k rounded to three dps?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 637711 is divided by 707?\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 2)*(135*q - 49*q + 71*q + (-2*q + q - q)*(1 + 3 - 3)).\nAnswer: -155*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 4 + 6*l + 0 - 5*l. Suppose -i + 2*k - 1 = -3, -2*k - 38 = 5*i. Determine x(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 0.0376\nAnswer: -0.0376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*a + 240*a + 41*a as z*a + m and give z.\nAnswer: 287","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15250 and 43676.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-6 - (1 + -2 + (-9 - -6)))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 398\/141?\nAnswer: 398\/141","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 203162169 to the power of 1\/4, to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.637864 decades to millennia.\nAnswer: 0.02637864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1425, 1430, 1439, 1452, 1469, 1490?\n\"Answer: 2*h**2 - h + 1424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*w + 0*w + 1 + 3*w + 6 to b + q*w and give q.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1884730.0828491 - -1884730. Let g = z + 61.0833141. Let b = -61 + g. What is b rounded to five dps?\nAnswer: 0.00047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-9)*(9\/42)\/(-1). Let y(d) be the third derivative of 1\/735*d**7 + 0*d**3 + 12*d**2 + 0 + 1\/210*d**6 + 0*d - x*d**4 - 1\/210*d**5. Factor y(c).\nAnswer: 2*c*(c - 1)*(c + 1)*(c + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105 - 120 - (-7 + 1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1483 divide 24404248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 551.33456 days in weeks?\nAnswer: 78.76208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 2108776?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j**3 - 11*j**2 + 4*j - 8. Let b(w) = -w**3 + w - 2. What is 4*b(i) - k(i)?\nAnswer: -2*i**3 + 11*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + 4*q + q)*(-2 + 1 + 0)*(97 - 11 + 3 - 1 + 2 + 0 + (-1 - 1 + 3)*(5 - 2 - 5)).\nAnswer: -264*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - 67141125?\nAnswer: -67141121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 985 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j**3 - 11*j**2 + 24*j - 34. Calculate t(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -212*b**2*f**2*i + 82936*b**2*i - b**2 - 5*b*f**2 - 2*f**2 - f wrt f?\nAnswer: -424*b**2*i - 10*b - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 930 divide 3723720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1321527811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 7*i**2. Let h(z) be the third derivative of -z**3\/6 - 4*z**2. Let r(v) = -v + 1. Let c(q) = -h(q) - r(q). Give n(c(f)).\nAnswer: 7*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*((-90)\/20)\/(-9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 + 4*p + 4. Let f = -842 - -852. Suppose -2*l = -i + f + 4, 3*l + 12 = 0. Calculate j(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n - 120 = 12*n. Let p = 0 + 6. Suppose p = -2*s - 8. Is n > s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2280767 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/32732 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 + 1 = 7*j. Let h(p) = p**3 - 7*p**2 + 6*p + 4. Let g be h(j). Suppose 5*u - 84 = -2*b, 0 = 2*b - b - g*u - 55. Is b a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 + y + 35. Let m be o(-5). Let z(x) = 180*x - 894. What is z(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.008 * 15.11\nAnswer: -0.12088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/g**0*g))\/g**(3\/8)*(g*g*g*g**(2\/15)*g)\/g*(g**(1\/3)\/g)\/g)\/(((g*g\/g**(-2)*g)\/(g**(2\/7)\/g*g*g*g))\/(g**4\/(g*g**(-2\/9)*g))) assuming g is positive.\nAnswer: g**(-1009\/2520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 3 - 2*r)*(7830 - 606 + 1848).\nAnswer: -18144*r - 18144","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o = 30 - 66 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 184 <= 184?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 1*((sqrt(28)*2)\/sqrt(4) - (0 + sqrt(7) + 0) - (-4*sqrt(63) + 1 + sqrt(7) + 0))**2*-1.\nAnswer: -1010 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 289824 is divided by 745.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 4*d + 4 = 0, -g + 3*d = -2*d - 5. Let m = 6976 - 34881\/5. Let z = -2 + 1.6. Which is the nearest to g? (a) 0 (b) m (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of -9*t + 0*t**2 - 4*t**7 + 0*t**6 + 0*t**5 + 10 + 19\/3*t**3 + 1\/6*t**4. What is the third derivative of n(k) wrt k?\nAnswer: -10080*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 42 = -4*n, -5*i + 48 = 5*n + 3. Let j be (-2)\/n - ((-336)\/(-35))\/(-3). Suppose 2*p = -0*p + 6. Solve 6*s - p*s - j = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2.2, 5, -544\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 PM and 8:09 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -25*y - 230. Let s be p(-9). Which is the second smallest value? (a) 2 (b) -8 (c) s (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 77475*g**2*j**2 - 13*g**2*j + 7*g**2 - 11*g*j**5 + g*j - 2*g - 824 wrt j.\nAnswer: 154950*g**2 - 220*g*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*j*m**2*t**4 + 4*j + 13*m**2*t**3 + 33*m**2 with respect to t.\nAnswer: -12*j*m**2*t**3 + 39*m**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 334 is divided by 173.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 PM and 3:05 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x**2 + 14*x + 3. What is k(6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(1200) + 3)*3*4)**2.\nAnswer: 46080*sqrt(3) + 182016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -98, -101, -114, -143, -194, -273, -386?\n\"Answer: -s**3 + s**2 + s - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of 0 + 0*l**3 + 0*l**5 - 1\/360*l**6 + 0*l + 1\/72*l**4 + 3*l**2. Factor n(p).\nAnswer: -p*(p - 1)*(p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 - 8.5. Let u = -54 - -47. Let p = 87 - 89. Which is the second smallest value? (a) u (b) j (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-50) - 616\/200. Let t(n) = -2*n**3 - 3*n**2 + 12*n + 45. Let r be t(l). Calculate the highest common factor of r and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 17, 317, 1131, 2717, 5333, 9237, 14687, 21941?\n\"Answer: 43*i**3 - i**2 + 2*i - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 78\/(-504) + (-66)\/693?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6 + 0 + -9 - (-4228 - -9). What is the greatest common divisor of o and 136?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 6}. Give prob of sequence aaaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**5\/6 - 659*d**4\/2 - 163349*d**3 - 1464215*d**2\/3 - 974827*d\/2 - 324723\/2.\nAnswer: -(d + 1)**3*(d + 987)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 - 7*h - 2. Determine s(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 5*v - 1304 - 1426, -v + 5*d + 546 = 0. What are the prime factors of v?\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1040\/275 + 4\/(-22). Let m = -57\/20 + v. What is the closest to -2 in m, 0.3, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34)*1*-5)\/((sqrt(14)*3)\/sqrt(7)) + -1.\nAnswer: -5*sqrt(17)\/3 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 377543308?\nAnswer: 2, 94385827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 213 - 112. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 0*l - l + 338 - 372. Let f be r(-30). Is (-6)\/f*(3 - -165) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of p**7\/630 + p**6\/120 + p**5\/90 - p**2. Factor w(c).\nAnswer: c**2*(c + 1)*(c + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 - 4*l**2 + 3. Let o be g(-4). Suppose o = i + 5. Which is the nearest to i? (a) -0.2 (b) -1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(19)*6 + sqrt(57)\/sqrt(3)*-2)**2 + ((sqrt(171) + -1*sqrt(171) + sqrt(171))**2 - sqrt(171)) + -3.\nAnswer: -3*sqrt(19) + 472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 + 10*i**2 - 9*i + 7. Give m(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 701 is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w + 22. Let g be x(0). Suppose -2*j = 5*v - 4*j - g, 2*j + 4 = 2*v. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-710)\/2)\/(38715\/7743)?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 55046389 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) -5 (c) -3\/5 (d) 10888\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*m**3*p**3 - 44*m**3*p**2 - 10*m**3 - 9*m**2*p - 5*p**3 + 2*p wrt p?\nAnswer: -18*m**3*p - 88*m**3 - 30*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 487188 is divided by 203?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 103*y**2 + 95*y**2 - 203*y**2. Let d = -2 + 3. Determine j(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3542?\nAnswer: 2, 7, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 11*u - 8*u + 60, 0 = 4*k + u - 92. What is the highest common factor of 88 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 70600925?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 4*a - 16, 3*a - 7*a - 4*t + 24 = 0. Let l be a\/(-5) - 32\/(-130). Let c = -0.93 - 1.07. What is the nearest to 1 in l, c, -0.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -97119*o + 495202.\nAnswer: -97119","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/(-5))\/((-78)\/390). What is the nearest to 1 in 24, s, 0.3, 1\/2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 8 = 6*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 7 = -5*q + 4, 4*q - 7 = 3*m. Differentiate q*x**2 + 31*x - 3*x**2 + 3*x**2 - 188 with respect to x.\nAnswer: 8*x + 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5d9d - 2?\nAnswer: 5d9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 16 and 5.1?\nAnswer: 81.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ct when two letters picked without replacement from {q: 3, g: 2, y: 1, s: 4, c: 1, t: 4}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/6192 and -57\/172.\nAnswer: 6192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145*a + 614 = -144*a. List the prime factors of a.\nAnswer: 2, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 756 and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0748 * 6.7.\nAnswer: -0.50116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 + 9*x + 9. Let t be w(-8). Suppose 0 = -2*m + 15 - t. Factor -4 + m*p + p - 8*p**2 + 2*p**3 + 2*p.\nAnswer: 2*(p - 2)*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21 and 5547582.\nAnswer: 38833074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8406439 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -89, -83, -77, -71, -65?\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(10\/7)*f)\/f**11)\/(f**(1\/5)*f*f)**(-7\/9) assuming f is positive.\nAnswer: f**(-2161\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -5 + 4 + (-6 - -14) + -30?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 299307 is divided by 1069?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 86*v + 46*v**4 - 7*v**2 - 14 - 85*v + 18 in the form z + d*v + a*v**3 + p*v**2 + q*v**4 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 0 + 40 - (33 - 17).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10001111101011100110 (base 2) to base 10.\nAnswer: 588518","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*n**3 - 9280*n**2 - 9*n**3 + 9283*n**2.\nAnswer: -44*n**3 + 3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 - 11*d - 12. Let g be y(12). Suppose g = -2*s - 8 - 0. Let p(b) = -8*b + 11. Let j(o) = -3*o + 4. Give s*p(u) + 11*j(u).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 0.065, -4, -2, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 AM and 3:23 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**4\/3 - 24106*d**3\/3 + 96392*d**2\/3.\nAnswer: 2*d**2*(d - 12049)*(d - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f. Suppose -3*o + 4*t = -7, -6 = -o + 2*t - 3. Let a(n) = -12*n - 23. Let p(l) = o*a(l) + 3*i(l). Is 13 a factor of p(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*r + 3. Let z be r*(-2 + (-39)\/(-6)). Suppose -3*p = -z, 2 = -2*m + 2*p - 0*p. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9137 is divided by 87.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 + 13*o - 26. Let n be l(-15). Let d = n + 0. Solve -5*z = d*b - 7 + 28, 0 = -2*b + 4*z + 22 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 43\/3 of a century?\nAnswer: 17200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 81479\/73882 + 1\/8692. Calculate the common denominator of s and -61\/44.\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + d = -6*l + 1881, -5*d + 1111 = 3*l. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -3 (c) 1\/2 (d) 1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3168)\/(-2772))\/((-2)\/7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001999479113 to six decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1\/2, -6\/13, 2 in ascending order.\nAnswer: -5, -6\/13, 1\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1021727*i**5 + 267*i**4 + 2*i**2 + 2808*i + 233.\nAnswer: 61303620*i**2 + 6408*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11735 is divided by 121?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 + 4*s - 6. Let o be x(-5). Let l(h) = h**2 - 7*h + 2. Let w be l(6). Let j = w - -4. Are j and o unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -591843 - 67669 = -8*u. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1624, -12192, -40870, -96712, -188772?\n\"Answer: -1509*i**3 - i**2 - 2*i - 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2066 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 2\/38658875?\nAnswer: 2\/38658875","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 128 - 124. Suppose -o*q - 4*q = -22376. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 34*c**2 - 53*c**2 + 36*c**2 + 3*c**2 - c**2 - 3*c**2 - c**2 + 0*c**2 - c**2 + (0*c - 5*c + 3*c)*(0*c + c + c).\nAnswer: 10*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24072775 is divided by 4210?\nAnswer: 4205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 3*g + 1773 = 0, 3*g - g + 1194 = 2*k. Find the common denominator of (2691\/k - 6\/9) + -2 and 2*(-2)\/(-8) + 19.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u + 39. Let g(t) = t + 13. Determine 17*g(b) - 6*z(b).\nAnswer: 5*b - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of 15\/2*u**2 + 20*u + 85\/4*u**4 - 35*u**3 - 3*u**5 - 14. Let h(i) = 0. Calculate i.\nAnswer: -1\/3, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 7:28 PM?\nAnswer: 9:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + 119660?\nAnswer: 119662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*r**2\/7 + 3588*r\/7 + 178802\/7 = 0. What is r?\nAnswer: -299\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does -754921 = -754924?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 159977 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1184546 divided by -11\nAnswer: 107686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/54*(-6)\/(-2). Let i = 2.1 + -0.1. What is the third smallest value in p, 1\/6, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3592 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26432 and 595168?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4684773*r**5 + r**3 - 5*r**2 + 404*r - 27.\nAnswer: 281086380*r**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.1911811s to hours.\nAnswer: 0.00144199475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 + 7*d + 5. Suppose -3*b + 0*b = 21. Let g be w(b). Suppose 2*i - 3*i = 5*m - 23, 0 = 4*i + 3*m - 24. Sort i, -1, 4, g.\nAnswer: -1, i, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of -k**4\/24 + 5*k**3\/2 - 21*k**2. Let t be j(12). Suppose 4*g + 3*s = 91, 0 = t*g + 5*s - s - 70. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a - 8 - 9 + 17. Give b(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*v = -31*v - 656 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 80 and 144.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 66957 and 0.3.\nAnswer: 66957.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2862?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a. Let d(z) = -13. Let l(v) = -3*v - 1399. Let w(y) = 5*d(y) - l(y). Determine j(w(b)).\nAnswer: 3*b + 1334","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from roprprorr. Give prob of picking 2 r and 2 o.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11*125\/275*(141\/1)\/((-960)\/(-128)).\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2803 rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - 6) + -16 + 18.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135 is divided by 21?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3602, -3611, -3620, -3629, -3638?\nAnswer: -3647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 - 4*h + 8. Let r be m(6). Suppose -5*s = g - 224, -8*s + 5*g = -3*s - r. Let t = -152 - -175. What is the remainder when s is divided by t?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -467 (base 11) in base 4?\nAnswer: -20231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 132 (base 14) to base 5\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 5*f + 25254, -3*f - 2 + 8 = 0. Suppose -4*c + 38 = c + 4*g, 3*c - 22 = -2*g. Is (u\/c)\/(20\/(-30)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - 48)*(-1 + -5 - -5). Let u(r) = -28*r - 22*r + s*r + r**2. Let m(b) = 63*b**2. Give u(m(j)).\nAnswer: 3969*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24689753?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-9)*y)\/y**(-3\/7))\/(y**(-1\/2)*y)**(1\/80) assuming y is positive.\nAnswer: y**(12793\/1120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 44 + -14. Let x be (12\/18 - (-1)\/3) + 9. What is the greatest common factor of x and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 44 - 42. Let b be (-1*3 - (o - 5)) + 3. Suppose -41 + 47 = b*c. Solve -8 = -6*a + c*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -62*t**2 - 65*t**2 + 126*t**2 in the form q*t**2 + s*t + r and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0029804 rounded to 5 decimal places?\nAnswer: 0.00298","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 l, and 1 a when three letters picked without replacement from kklaalaakaaakkk.\nAnswer: 12\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, 21, 3?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 3*q + 23, -5*c + 2*q + 2 = -4*c. Solve 0 = -4*p + 3*p - 3, -c*p = 3*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 59851?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*(i**23*i)\/i*i*i**(-9) assuming i is positive.\nAnswer: i**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 31*z - 1. Let i be r(2). Find the third derivative of 61 - 3*a**4 + 6*a**2 - i wrt a.\nAnswer: -72*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one tenth of a gram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s + 200 = 12*s. Suppose 0 = -2*o + 3*w + 224, -2*w + s = -7*w. Is o a multiple of 109?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 372, 588, 810, 1038, 1272, 1512?\nAnswer: 1758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 377*b - 3 - 7*b**2 + 13*b**2 + 4 - 11*b**2.\nAnswer: -5*b**2 - 377*b - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -32*a - 562. What is y(-12)?\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*b - b**4 - 2*b**2 + 2*b + b**2 + 5*b**4 + 9*b**4 - 7*b**4 + (-2*b**2 - 2*b**2 + 6*b**2)*(9*b**2 + 6*b - 6*b) + b**4 + 4*b**4 - 4*b**4.\nAnswer: 25*b**4 - b**2 - 3*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 141*b**2 + 1840187*b**3 + 349*b**5 - 1840187*b**3 wrt b.\nAnswer: 20940*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o**3 + 9*o**2 + 30*o = 0. Calculate o.\nAnswer: -2, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11156 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: What is 27\/2 of a gram in milligrams?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 h when three letters picked without replacement from cspcvchhtvpthhchvph?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -4*b - 2. Suppose 4*i + 2 = -b. Let o(g) = g**3 - 2*g**2 - g - 3. Let k(c) = c**3 - c**2 - 2*c - 2. Let x(p) = -3*k(p) + 2*o(p). Determine x(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 - 3*d**2 + 6*d**2)*(-15*d**3 + 24*d**3 + 5*d**3) - 5*d**5 + 2*d**5 + 4*d**5.\nAnswer: 29*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 58, 4, 4\/7, 0.4, -3\/5, -84?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u**3 + 16*u**2 + 4000*u + 19775. Calculate d(-5).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 176 = -m - 4*m, 4*n + 124 = -3*m. Let d = -32 - m. Solve -g = -3*g + d for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*j - 10*s + 7*s - 18, 11*s + 72 = -61*s for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 77 - 93 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 225884.\nAnswer: 2, 149, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11956 - 5338. Suppose -1618 = 5*w - b. Round w to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) -61 (c) 12.18 (d) 1.5 (e) 3 (f) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9510 + 16520. List the prime factors of b.\nAnswer: 2, 5, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5659b6 (base 12) in base 13?\nAnswer: 393690","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 443101720*x + 443101709*x - 886203401*x.\nAnswer: 28*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2724 is divided by 303?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**(9\/4)*a)\/a)\/(a*a*a*a*a*a*a\/a**(8\/7)))\/(a*a*a\/a**(-2\/9))**(-27) assuming a is positive.\nAnswer: a**(2363\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 5 - 3)*(2 + k - 2)*(-38*k - 37*k**2 + 38*k) to the form o*k**3 + a + b*k**2 + i*k and give o.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 - 12. Suppose -3*d - 7 = 5, 4*d = w*c + 8. Let s be -12*(1 - (-14)\/c). Solve 2*a - s = -a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 339 = 4*i + 3*z - 6*z, 0 = -2*i - 5*z + 163. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**10*j)\/(j**(2\/13)*j) assuming j is positive.\nAnswer: j**(128\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 3*i + 0*i - 12 = 0, 3*w + 4*i + 17 = 0. Let y(t) = -19*t**2 + t - 1. Calculate y(w).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6494990, 15, -5 in descending order.\nAnswer: 6494990, 15, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/(-15) - 38\/(-6). Suppose -y*j + 2*j + 8 = 0. Suppose -4*x = -j*x - 14. What are the prime factors of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -72*x**2 - 288*x - 7. Give l(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -3*a + 12. Let c(p) = -2. Let u(s) = 4*c(s) + l(s). Determine u(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 450905 <= 32916100\/73?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 75748369 to the nearest integer?\nAnswer: 423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-1))\/u)**(-48)*((u*u**2)\/u)**32 assuming u is positive.\nAnswer: u**112","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 147234 and 5300?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.026 * 0.1\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 5*z. Let t(u) = -4*u. Let k(s) = 3*g(s) + 4*t(s). Let c(v) = -5*v**3 + v**2 - 2*v - 4. Let r(q) = c(q) + 3*k(q). Is 10 a factor of r(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-22) - 420\/(-110). Suppose y - 3 = v*y, -4*i - 5*y = -19. Solve -i*u = -3*u - 15 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 917891 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 1:48 AM?\nAnswer: 6:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of 141067314149 and -197.\nAnswer: 141067313952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 820 + -809. Let v = -0.1 + -0.9. Which is the nearest to s? (a) v (b) 4 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (36\/(-11))\/(50\/(-2475)*9)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1142, -4599, -10392, -18551, -29106, -42087, -57524?\nAnswer: -75447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -3*r + 49. Let m(g) = -50*g + 835. Let c(s) = 35*f(s) - 2*m(s). Let t be c(8). Solve b - 7 = -3*v + 4*v, 2*v = t*b - 20 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 64 - 77. Let i = 105 + d. List the prime factors of i.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3302)\/676 - (-5)\/1?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of j**9\/1512 - j**5\/60 + j**3\/6 + j. Let y(o) be the second derivative of n(o). Find the second derivative of y(a) wrt a.\nAnswer: 40*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -22*x + 72. Let m be z(4). Let b(s) = -2*s - 35. Let t be b(m). Let j(d) = -d**3 - 3*d**2 + d - 2. Give j(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 10822 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 5*r - 3328 + 849, 5*i + 1009 = 2*r. Suppose -7*q + 0*q = -r. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o + 6 - 2 - 6)*(-o + 0*o - o).\nAnswer: -4*o**2 + 4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 184386 at most 553156\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0094190129 rounded to 5 dps?\nAnswer: -0.00942","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/((p**(-3)\/p)\/p)*p**(2\/17))\/(p*p*p\/p**(-2\/7)*p)**(-7\/4))\/((p**0)**(3\/20)\/(p**(1\/6)\/(p**(3\/5)*p))) assuming p is positive.\nAnswer: p**(3362\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -542*a**3*u**3 - 6*a**3*u**2 + 3*a**3 - a**2*u**2 wrt u?\nAnswer: -3252*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 276 and 2346.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 97400 and 35400.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (-8 + -2)) + 26 + -11.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 153700213*j + 413459054 wrt j?\nAnswer: 153700213","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of -v**4\/4 - v. Let p be 12\/90 + (-1)\/(45\/(-84)). Let f(z) = 22*z**2 + 19*z**p - 48*z**2. Determine i(f(g)).\nAnswer: -147*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36544 + 17258 = -939*q + 1414*q + 9152 for q.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 - w**2. Let f(d) be the third derivative of d**6\/120 + d**5\/60 + d**4\/24 + d**2. Calculate -f(y) - p(y).\nAnswer: -2*y**3 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 482*h - 476*h = 228. Calculate the remainder when 2084 is divided by h.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10001010101110010010011 (base 2) in base 16?\nAnswer: -455c93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of -h**7\/42 - h**6\/360 - h**5\/120 - h**4\/24 + 43*h**3\/6 + 13*h. Let b(u) be the second derivative of a(u). What is b(-1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*b - 21295876 - 51891069 = 0. Let f = -2 - -5. Suppose -640235 - b = -f*a. What is a rounded to the nearest 100000?\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -0.11, -5, -2\/13, 2, -10 in descending order.\nAnswer: 6, 2, -0.11, -2\/13, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13348 + 13332 - (-2 + -98).\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 70226*o**5 - 357*o wrt o.\nAnswer: 1404520*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-131 + 165 - (0 + 3 + 11))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -45.067 - -45. Let q = -29.067 - z. Let k = q - -28.939. Round k to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 52032, 107586, 163138, 218688, 274236, 329782, 385326?\n\"Answer: -n**2 + 55557*n - 3524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 23314*u**3 + 11*u**2 - 4*u - 9. Let m be y(10). Let s = -35015051 + m. Round s to the nearest 1000000.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.055 + 10.055. Let q = -3587\/5 - -718. Which is the closest to 1? (a) q (b) 3\/2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3\/2254 - 7342\/12397. What is the common denominator of d and (12\/(-432))\/((-1)\/(-50))?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -4*o - 3. Let h be w(-3). Suppose h + 3 = 2*p. Suppose 3*d - p = 3. What is the greatest common divisor of 6 and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 362 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 533466788.\nAnswer: 2, 133366697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -196? (a) 2\/19 (b) 0.1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (7\/(-3))\/((-3013)\/(-63273))\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 291949 is divided by 1326.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*c**2 - 13*c + 36*c - 10*c - c**2 - 13*c.\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 59.23827 decades in years?\nAnswer: 592.3827","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -12, -23, -36, -51, -68, -87, -108?\n\"Answer: -u**2 - 8*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 15*z**2. Let c(m) = -6*m**2 - m + 1. Let n be c(1). Let u(g) = -4*g**2 + 23*g**2 - 12*g**2. Give n*q(d) + 13*u(d).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*h - 3*q - 21, -5*h - q = 5. Suppose -30 = 2*o + 4*b, h = -o - 3*b - 13 - 6. Let t be (-1 - (-2 + 3)) + o + 29. Solve 2*l - t = -3*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -3*l**2 + l + 1. Suppose -k + 6*k + 5 = 0. Let p be c(k). Let g = p - -1. Which is smaller: g or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 317 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(363) - (sqrt(12) + 0 - sqrt(12)) - (1 + sqrt(27) - sqrt(6)\/sqrt(2)*-4))**2.\nAnswer: 36*sqrt(3) + 973","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -5364.7?\nAnswer: -5360.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 907803?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -125344752 + 121051\nAnswer: -125223701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = -1 - 2 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*h - 5*a + 10, 0*h + 3*a - 5 = 4*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 9312680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 2, -1\/215 in ascending order.\nAnswer: -1\/215, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 597885 and 230?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 57, 68, 83, 102?\n\"Answer: 2*l**2 + 5*l + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xy when two letters picked without replacement from {x: 3, o: 2, y: 7}.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 1014, 311.\nAnswer: 19, 311, 1014","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 16424?\nAnswer: 16424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 458, 900, 1320, 1706, 2046, 2328, 2540?\nAnswer: 2670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8892 + -8863. Solve 16*d = 15*d + 5, 4*a = 5*d - f for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, 0.2, -2698, -4, 0.5, 2\/11?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -6834, -27428, -61750, -109800, -171578?\n\"Answer: -6864*v**2 - 2*v + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 256*w**4 - 80 + 6210*w - 6209*w - 39*w**4 wrt w?\nAnswer: 2604*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9858.482kg to tonnes.\nAnswer: 9.858482","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -136 - 223 - 2753*h - 94 wrt h?\nAnswer: -2753","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 2*z = 2*t - 51, -4 = 2*z. What is the highest common factor of 11 and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 90 - 86. Suppose -g*i = -8633 - 4195. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1751282 - 187?\nAnswer: 1751084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -2*n**2 - 10144928*n - 12864945515648 = 0.\nAnswer: -2536232","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*q = -171170 + 183590 for q.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4684*b**4 - 375*b**2 + 14*b - 7821 wrt b?\nAnswer: -56208*b**2 - 750","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - r)*(0*r**3 - 2*r**3 + r**3) - 35*r**4 + 135*r - 70*r + 13*r**3 - 68*r.\nAnswer: -34*r**4 + 13*r**3 - 3*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 36379 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 3*d**2 - 12. Let m(y) = y**2 - 4. Let c(p) = -8*m(p) + 3*w(p). Let r be c(-4). Let x = 11 - r. Which is bigger: x or -3\/10?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1053580557 - 1053580450.9999921. Let l = f + -106. What is l rounded to 6 dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*q + 8*q + 396. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 4 = -28. Let b(d) be the third derivative of 23*d**4\/24 + d**3\/6 + 2*d**2. Let o be b(1). What is the highest common divisor of f and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 272709610 - g**3 - 272709610.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/14 - (-1)\/(-7)*-38. Sort j, 0.3, 3, 0.5 in ascending order.\nAnswer: 0.3, 0.5, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (16\/(-992))\/((-1)\/(-6)). Let r = 931.7 + -932.7. Sort b, r, -3 in ascending order.\nAnswer: -3, r, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/4)*x)**(-16)\/(x**2)**36)**(-3\/22) assuming x is positive.\nAnswer: x**(138\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5885.074 days to milliseconds.\nAnswer: 508470393600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -523*g + 524*g - 984*g**3 - 1 - 296*g**3 in the form d*g**3 + f*g**2 + r*g + a and give d.\nAnswer: -1280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 293 (b) -1\/2 (c) -0.228 (d) -20 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -240 + 239.8. Which is the third smallest value? (a) -16 (b) 2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22.2 + 21. Let n = 5 + -4. Let u = s + n. Sort -0.05, -4, u.\nAnswer: -4, u, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -154.248 + 152.3. What is j rounded to one dp?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 565565 (base 8) to base 14.\nAnswer: 4da3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, o: 3}. Give prob of sequence oooi.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (178*(-3)\/48)\/(-1) and 8\/(-2) - (-873)\/54.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 12 - 9. Let p = -2.72 + 3.22. What is the smallest value in p, -0.3, b, 2\/23?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from atvqqtahaaaa. What is prob of picking 1 v and 2 a?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153*o = 145*o - 32 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h - 2*h + h)*(1 + 0 - 2 + (0 - 3 + 1)*(-6 + 2 + 1) + (7 - 3 - 2)*(-5 + 4 + 2)) - 9*h + 2*h + h.\nAnswer: 8*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r + 2. Let x be c(-2). Solve -2*d + 8 = 2*w, 3*d - 4*d - x = -3*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -600 - -604. Let x(k) = k**2 - 6*k + 5. What is the least common multiple of x(6) and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -4*q - 1. Calculate k(7).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 - 7. Let i = -12 + x. Let a = 11 + -8. What is the third smallest value in a, -1, i?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/43)\/m**(-30))\/(m*(m*m**(1\/3))\/m*m*m**(-28)) assuming m is positive.\nAnswer: m**(7187\/129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 998.45 + 0.55. Let o = c - 999.922. Round o to one dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -124624 divided by 8.\nAnswer: -15578","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 2, -1 in increasing order.\nAnswer: -1, 2, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4\/5, 0.3, -4, 3\/19, 6?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = s - 0*s + 5*n, -3*n = 3*s + 9. Which is the smallest value? (a) 4 (b) s (c) 5 (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79 = -5*v - 19. Suppose -2*q = -u + 5 + 22, 4*q = v. Is u < 33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 - 2*y**2 + 3*y + 4. Suppose 4*w - 2*h - 36 = 2*h, -w + 21 = 3*h. What is the remainder when d(3) is divided by w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n**3 - 15*n**2 - 4. Let v(l) be the first derivative of l**4\/4 + 8*l**3\/3 + 2*l - 23. Calculate -6*c(r) - 11*v(r).\nAnswer: r**3 + 2*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 651646886?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15347.\nAnswer: 103, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 6. What is the remainder when 2\/6 - 59\/(-3) is divided by ((-11)\/2 - t)*-2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704) + (sqrt(704) + -2)**2 + 4 + -3)*2 + 0.\nAnswer: -48*sqrt(11) + 1418","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*u**2*y**2 + 3640395*u**2 - 4222987*u*y**2 wrt y.\nAnswer: 4*u**2*y - 8445974*u*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 66, 74, 72, 48, -10, -114, -276?\n\"Answer: -2*x**3 + 7*x**2 + x + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 2*o - 131198 = 0, 3 + 1 = -4*o. Let j be ((-6)\/(-9))\/((-4)\/6). Let t be 250\/j*(-1 + x). Round t to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -433*a + 10. Let g(v) = -144*v + 3. What is -7*g(l) + 2*z(l)?\nAnswer: 142*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -85*g + 438. Suppose -187*m + 40 = -179*m. Let r be f(m). Solve -y + r - 8 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 303 + 66?\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1280)*-1 + sqrt(60)\/sqrt(108) - (sqrt(160)\/((sqrt(16)*-2)\/sqrt(2)) + -3))**2.\nAnswer: -88*sqrt(5) + 9761\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 417572830?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -61*p**3*x - 2*p**3 + 73*p**2 - 83423*p*x + 66*p wrt x?\nAnswer: -61*p**3 - 83423*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 5 = 3*f, -5628 + 5639 = 4*g + 3*f for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1137945 (base 12) in base 16?\nAnswer: 328385","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - d = -10, 0 = -m - 2*m + 2*d + 25. Suppose -4*n**2 - m - 11 + 16*n**2 - 4*n**3 = 0. What is n?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -62 + 62. Solve 0 = -k*p - p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-168)*-16*4\/(-18)*462\/(-55).\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 16*i**2 + 2*i - 1. Suppose 13*z + 173 = 375 - 176. Let h(r) = 15*r**2 + 3*r - 2. Determine z*h(w) - 3*c(w).\nAnswer: -18*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of -3*b**4\/4 - b - 2. Let x = 7 + -5. Let j be 2*(2 + (-5)\/x). What is d(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sxa when three letters picked without replacement from haxsmpas.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -6 + 4. Let g(z) = -3*z**3 - z**2 - 2*z - 1. Let i be g(v). Suppose -2*m - 22 = i*s, 0 = -m + 6*m + 3*s + 55. Are m and -10 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*-91\nAnswer: -182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14247008 by 2.\nAnswer: -7123504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26)\/182 - (6\/28)\/((-43)\/10).\nAnswer: -4\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 + 6*v**2 - 5*v + 4. Let i be j(5). Suppose -9*f + 6*f + 432 = 5*g, i*f + 152 = 2*g. Is g a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 - 31*x**2 + 21*x + 728. Determine a(-31).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 3 n when four letters picked without replacement from {t: 5, u: 2, f: 2, l: 1, n: 4}?\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + p - 252 = 0, -h = -5*h - 3*p + 244. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u = -u - 4*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -440, 0.5, -2\/5, -0.3, -2 in descending order.\nAnswer: 0.5, -0.3, -2\/5, -2, -440","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*u + 17*u**3 - 10*u**3 - 10*u**3 + (u + 3*u - 3*u)*(-2*u**2 - 3*u**2 + 6*u**2) as p + z*u + x*u**2 + y*u**3 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-14)*(-18)\/30?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1364 + -1361. Let x(u) = 4*u - 6. Let p be x(5). What is the derivative of -15*w**v - p*w**3 + 47*w**3 + 16 - 12*w**3 wrt w?\nAnswer: 18*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 25*l**4 + 4*l - 14 wrt l.\nAnswer: 100*l**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 24*s**3 - 2*s**2 + 2*s + 1. What is v(1)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3010 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -1\/6, 4\/31?\nAnswer: 4\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19 or 160547?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 3*w**2. Let n(g) = -3*g**2. Suppose 3*z + 13 - 25 = 0. Suppose -13 + 5 = -z*u. Suppose 3*j - u*f = 2*j - 2, -5*j = 4*f - 46. Give j*l(o) + 7*n(o).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 + 2)*-123*(-28)\/12. Suppose 0 = -u*f + 282*f + 150. Calculate the highest common factor of 42 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 27 + 18. Let r = x + 11. Suppose 2*n = 22 + r. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 127 and 868553.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 - g + 2. Let q be y(0). Let u = -349 + 351. What is the greatest common divisor of q and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 55 + -9. Find the third derivative of 28*y**4 + 25*y**4 - 25*y**2 - s*y**4 wrt y.\nAnswer: 168*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.04 - 3.04. Let t = 1307\/7 - 187. What is the closest to t in n, 2, -6?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 + -11. Suppose 0 = -5*d - o + 35. Let t(m) = -4*m - d*m**2 + 4*m + 7*m**2. Let z(q) = -q. Calculate t(z(g)).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(144)*-2 - sqrt(16)\/sqrt(4)*-5)\/((sqrt(14) - 6*2*sqrt(14))\/(sqrt(7) - (sqrt(70)*-2)\/sqrt(10))))**2.\nAnswer: 882\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 + l)*(3 - 2 + 0) - 3*l + 5*l - 4*l - 44*l - 74*l + 27*l - 3 + 3 - 2*l as u*l + h and give u.\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17717 + 6006. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7341 + 7344. What is the fifth smallest value in 2, -630, o, 2\/3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/3498 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 a when three letters picked without replacement from {a: 4, q: 6}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a decade in months?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -0.5, -4, 12582, 57, -1?\nAnswer: 12582","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 247 + -248. Is 12 a factor of ((-4123)\/7)\/b - 1*2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 63*v**3 - 20*v**2 + 3*v + 20. Let b(o) = 42*o**3 - 13*o**2 + 2*o + 13. Let x(c) = 8*b(c) - 5*i(c). What are the prime factors of x(2)?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60 and 2561025.\nAnswer: 10244100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7906804 and 724.\nAnswer: 724","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, g: 3, z: 2, o: 1, k: 1, d: 1}. What is prob of picking 3 c?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.9 minus 1.790374048?\nAnswer: -11.690374048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 36605 to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -144 + 147. Solve -2*h + h = 2*s, -5*s - h + j = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 702 divided by 13.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 - 7*h - 10. What is m(8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000637258 rounded to 5 decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 2 (b) -2 (c) 0.09 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - -12. Let i be -9*(56\/b - 4). Let u(x) = 2*x**2 - 2*x. Is 7 a factor of u(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95 = 2*r + 17*r. Let c(h) be the third derivative of 0*h - 8\/15*h**r + 11\/12*h**4 + 7\/60*h**6 - 2\/3*h**3 - 2*h**2 + 0. Determine f, given that c(f) = 0.\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 60 - 57. Differentiate 25 + 8*y**4 + 55*y**v - 55*y**3 with respect to y.\nAnswer: 32*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(5) - (sqrt(5) + -2 + sqrt(5))**2) + 2.\nAnswer: -27*sqrt(5) + 74","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 52*v + 1074 - 7 + 129 for v.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 136*4\/(-8)*(3\/(-6) + 0)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 23*r + 4. Let k be u(-9). Let a = k - -335. Suppose 3*j - a = -27. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 117978.5661 to the nearest 10000.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 3*b = -12, 0 = -2*s - b - 9 + 17 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 835 (base 10) to base 12\nAnswer: 597","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -94 - -112. Let k = 449 + -218. What is the remainder when k is divided by j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700) - (1 + sqrt(700)))**2 + 4 + 3 + sqrt(49)\/sqrt(7)*5 + sqrt(21)\/(sqrt(3) + sqrt(75)).\nAnswer: 8 + 31*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 500 + -495. What is the closest to 0 in 0.6, 1\/9, p?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 * -2058.5\nAnswer: 28819","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 = 28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1292\/1665 - 123\/185. What is the closest to -6.7 in w, -11, -1, 1\/4?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-18)*1188\/88\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 520 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 1.1\nAnswer: -1.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1341 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 245*a**4\/3 + 15670*a**3\/3 + 233825*a**2\/3 - 181060*a + 7260 = 0. What is a?\nAnswer: -33, 2\/49, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 1. Suppose -4*x - 3*b + 4354 = -9*x, -5*x - b - 4362 = 0. Let l = -865 - x. Let f(a) = -a - 2. Determine l*j(p) + 2*f(p).\nAnswer: -2*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o*o**(-1\/3))\/o)\/o)**(-2\/21))**(2\/13) assuming o is positive.\nAnswer: o**(16\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5573\/7678 - -1\/698. Let v = 211 + -664\/3. Find the common denominator of u and v.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13011 is divided by 44?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -3*v - v**3 + 7 - 3 - 2*v**2 + 2*v. What are the prime factors of h(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gxhxhxxghgthnn. What is prob of sequence xxtg?\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7993 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 + y - 1. Let t(a) = -14*a**3 + 5*a**2 - 8*a + 3. Let l(n) = -g(n) - t(n). Is l(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -4*n**3 + 19*n**2 + 26*n + 193. Give o(7).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 192 = -8. Let j = q + -349. Let s = -90 - j. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ehbh when four letters picked without replacement from {b: 6, h: 2, e: 2, w: 9}?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddcnccckc. Give prob of picking 1 c and 3 d.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2133366245?\nAnswer: 5, 426673249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6345270?\nAnswer: 2, 3, 5, 71, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cgghcphghpcjpjjc. What is prob of picking 1 h and 1 g?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 262 = -w, -5*d - 4*w + 7*w = -266. Let x be (-2 + d)*((-18)\/(-12))\/3. Solve -x = -7*a + 2*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 75 = -5*q, 4*t = 3*t - 3*q + 19. Suppose 9*g + 64 = t*g. Solve 3*k + k = g for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 256.435 litres in millilitres?\nAnswer: 256435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/36 and -82\/117?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 20*g**2 - 1931*g + 18. Let p(f) = -5*f**2 + 483*f - 4. Let m(q) = -2*n(q) - 9*p(q). Factor m(c).\nAnswer: 5*c*(c - 97)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 2*b = -12. Let w(i) = -i**2 - 4*i + 1. Let q be w(b). Is 3 < q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(300\/4)*160\/24.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 46*f - 1492. Calculate the remainder when 354 is divided by j(34).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -481 - -481.5. Which is the closest to 2\/9? (a) 8 (b) t (c) -5 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1787 in 0.4, 0.05, 8?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 19473876?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2 and 32\/835.\nAnswer: 835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(-2)*(-2)\/5. Let p be 2\/5 - (-4618)\/80. Let u = p + -58. Which is the second smallest value? (a) u (b) 4\/7 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1 + 0 - 11*i + 0*i - 13*i wrt i.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppppokkpk. Give prob of sequence kpp.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 29 - ((69 - 14) + -49)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 + -7. Solve -o*l - 5*q + 28 = -5*l, -5*l - 4*q = -15 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzuzoobuooooz. Give prob of sequence uozb.\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**2 - 290*d + 1691. Calculate the remainder when 91 is divided by s(6).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 821.9379 nanometers to millimeters.\nAnswer: 0.0008219379","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -314 + 629. Let n = 324 - o. Solve -9*j = 9 + n for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31529 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 2 b when four letters picked without replacement from dudbbuddbd?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -79*a**2*c*o - 1544*a**2*c + 2*a**2*o - 2*a**2 + a*o + 6110*a wrt c?\nAnswer: -79*a**2*o - 1544*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 PM and 2:18 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a millennium in months?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 15526.\nAnswer: 15526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 1)*(2*t**5 + t**3 - t**3) + (18*t**3 + 22*t**3 - 4*t**3)*(3*t**2 - 4*t**2 + 2*t**2 + (-2*t**2 + t**2 + 0*t**2)*(-2 - 1 + 5)).\nAnswer: -32*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 1. Suppose 2 = 5*m - 3*p + 1, 11 = -2*m + 5*p. Let q(f) = -f**2 - 4*f - 2 + m*f + 3. Determine q(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -758292, -1516639, -2274986?\n\"Answer: -758347*c + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2649, 1755, 861, -33, -927?\n\"Answer: -894*j + 3543","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 225846?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0008404 to five decimal places.\nAnswer: 0.00084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -21*u - 1. Let w be y(-1). Suppose 0 = 4*h - w. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16879934?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -41648*n**6 - 17*n**2 - 63*n wrt n?\nAnswer: -4997760*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 6 - 61. Let n(p) = -3*p + 9. Let u(l) = 4*l - 8. Let h(g) = 5*n(g) + 4*u(g). Let k be h(i). Calculate the greatest common divisor of 16 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -140806, -140805, -140804, -140803?\nAnswer: -140802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-177)\/(-59))\/((-30)\/(-350))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3*0.0962183\nAnswer: -0.2886549","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 204, -0.3, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 4*n - 38, -4*j = -4*n + 5*n - 22. Let u be 4\/j*(15 + -18). Let g = -0.7 + 7.7. Which is the nearest to u? (a) 3 (b) g (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16345030?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 887 a factor of 12473881?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6020117*f**2 - 2794140*f.\nAnswer: 12040234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 642203368?\nAnswer: 2, 2711, 29611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 + q**2 - q - 4. Let o be g(0). Let w(j) = 343*j - 4*j**2 - 343*j + j**3. Let u(z) = -2*z**3 + 9*z**2. Calculate o*u(l) - 9*w(l).\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21*d**5 + 63*d wrt d?\nAnswer: -420*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 21*h**3 + 32*h**2*m - 55*h*m + 513542*m wrt h?\nAnswer: 63*h**2 + 64*h*m - 55*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 + 4*f - 8. Suppose -8*p - 10 = -13*p. Suppose 27 = -5*q - p*y + 3*y, y = -3*q - 21. Calculate h(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 44325, 44323, 44321, 44319?\n\"Answer: -2*o + 44327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 w when three letters picked without replacement from {c: 7, t: 2, w: 2, z: 2, q: 5}?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.9 + -1. Let v = 5 + -0.8. Let d = -4 + v. What is the smallest value in 4, q, d?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of -3*d**5\/5 - 137*d**4\/6 + 8731*d**3\/6 + 1340*d. Find the second derivative of v(p) wrt p.\nAnswer: -72*p - 548","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -2\/5, -66, 2\/13, -4.\nAnswer: -66, -4, -2\/5, 2\/13, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 134654\/109?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/20)\/((-1200)\/(-384)).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 - 39. Let p be 36\/(-6 + 6 - 1). Let k = p - i. What are the prime factors of k?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + y**2 + y + 1. What is z(3)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a decade in months?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1204032877 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 67688 to the nearest integer?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 12*i**4 - 4*i**3 - 11*i**2. Let j(y) = y**3. Let x(a) = -4*j(a) - l(a). Find the third derivative of x(r) wrt r.\nAnswer: -288*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 take away -2017.402?\nAnswer: 2017.602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 34730107 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.162313 to two decimal places.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -2*d**3\/17 - 174*d**2\/17 + 354*d\/17 - 178\/17 = 0.\nAnswer: -89, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**2)\/s)**(2\/109)*(s*s**(-12))\/(((s*s**3*s)\/s)\/s))**49 assuming s is positive.\nAnswer: s**(-74578\/109)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 + 5*d - 31. Let x be h(-11). Is x\/(-14)*(-1578)\/15 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 550336, 2201429, 4953228, 8805715, 13758872, 19812681?\nAnswer: 26967124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-3\/4)*w\/(w*w\/w**15)*w assuming w is positive.\nAnswer: w**(57\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 + g**2 + g + 10. Let b be k(0). Suppose 168 = b*x - 9*x. Suppose -2*c + 5*c = x. What is the highest common factor of 7 and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2932 by -4.\nAnswer: -733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.022 - 68.022. Let p = 58.4 + 11.6. Let l = o + p. Which is the fourth smallest value? (a) l (b) -1 (c) 2\/15 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14487 and 38193.\nAnswer: 1317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 2 q, and 1 h when four letters picked without replacement from {r: 5, h: 2, a: 1, q: 7, e: 1}?\nAnswer: 3\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8475.18546 + -8472.9. Let y = u - 0.19276. Let o = -0.0173 - y. Round o to one dp.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 5*m - 3. Let d be h(2). Let r(q) = 39*q + 29. Let y be r(5). What is the greatest common divisor of d and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -17*w - 9. Let q be -5*6\/(-15)*-1. Suppose l + 16 = 5*t, -3*l - 7 = -2*t - 2*l. Let n(u) = 3 + t + 2*u + 2*u - 4. What is q*z(v) - 9*n(v)?\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 7) in base 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 52299 to the power of 1\/2, to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 2*k**4 - 528*k**3 + 1540*k**2 + 6816*k - 7830 = 0.\nAnswer: -3, 1, 5, 261","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 + 27*k - 19. Let r be x(20). What is the highest common divisor of r and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200) + sqrt(200)*2 + sqrt(200))\/sqrt(10)*3 - ((-1*sqrt(120) + sqrt(120) - sqrt(120))\/sqrt(3))\/(sqrt(968)*2).\nAnswer: 529*sqrt(5)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 0, 1.45, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 3*x + 24 = 0. Let u = -11 + 29. Suppose -4*o - c + 39 = 0, -u = -2*o + 2*c - 4*c. What is the smallest common multiple of o and x?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29696 is divided by 84.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -56*y - 76. Let n be t(-21). Suppose 12*i = 160 + n. What is the highest common divisor of i and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 6\/5*i**2 - 2\/5*i**4 + 4\/5*i + 0*i**3.\nAnswer: -2*i*(i - 2)*(i + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152486 is divided by 299?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 AM and 2:30 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 930083641.\nAnswer: 83, 607, 18461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -6402373 divided by -336967?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -50 - -13. Let q = f - -9. Let t = -8 - q. What is the smallest common multiple of 18 and t?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16*w**2 - 109*w**2 - 158*w - 145*w**2 - 29*w**2 wrt w.\nAnswer: -598","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 PM and 12:59 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5832 and 112995.\nAnswer: 903960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -477*d**3*f**2 - 5258*d**3 - 6*d**2*f**4 wrt f?\nAnswer: -954*d**3*f - 24*d**2*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 342514 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 181*v + 3 - 4 + 7000*v - 5 + 2.\nAnswer: 7181*v - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 + l**2 + l. Let u(k) = 27*k**2 - k. Give u(q) - 2*x(q).\nAnswer: -2*q**3 + 25*q**2 - 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1438791, 2877339, 4315887, 5754435, 7192983, 8631531?\n\"Answer: 1438548*a + 243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 6*q - 28 = -5*w, 5*q + 4*w = 26. Find the first derivative of -2*h**q - 6 - 12*h**2 - 5 wrt h.\nAnswer: -28*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 + 8*d**2 - 16*d + 24. Let j be m(6). Let 2\/3*k**3 - 2\/3*k**4 + j*k**2 + 0*k + 0 = 0. Calculate k.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 139, 272, 405, 538, 671?\nAnswer: 804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 584672460?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 3 = 6. Calculate the remainder when 77 is divided by 21 + 0\/r + -1.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -103*r**2 - 9*r?\nAnswer: -206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 4 - 16 = 0. Let g(n) = -3*n - 3. Let t be g(j). Solve -16 = -2*h + t*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37254000 rounded to the nearest 1000000?\nAnswer: -37000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 59 or -5\/3996022?\nAnswer: -5\/3996022","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1859832 is divided by 619941.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - ((4 - -10) + -4 + -1 - 3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 + u**2 - 3*u + 1. Let p(h) = -h**2 + h. Calculate -g(q) - 3*p(q).\nAnswer: q**3 + 2*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -45 - -27. Let p be 6\/27 - 194\/a. Suppose 2*x = -p + 49. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -331.1 - -801.1. Which is smaller: 0.3 or o?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -358*q + 720. Calculate the remainder when 5718 is divided by f(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79796 minus -1653?\nAnswer: 81449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000217202655 rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 116 + -121. Let l = 28 + -55\/2. Which is the third biggest value? (a) l (b) o (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 56719*i**2 - 23*i + 22*i + 5 - 13. Let d be o(8). Round d to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.16 to one dp.\nAnswer: 15.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*g = -78*g + 5*k + 210, 4*g - 5*k - 171 = 0. What is the remainder when 699 is divided by g?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yn when two letters picked without replacement from {g: 4, n: 1, s: 4, y: 1, l: 9, u: 1}.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + u + 3 = 0, -3*u - 9 + 0 = 5*r. Suppose -m + 2*m - 1 = 0, x - 1 = m. Is 6 a factor of x\/1 + (r - -4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -6*v - 17. Suppose i = -3*i - 8, -5*j + 4*i = 22. Let p(c) = c + 3. Suppose -36 - 42 = 2*l - 5*b, -5*l = -b + 172. Calculate j*y(x) + l*p(x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 3 - (-15 - -2))\/(70\/56).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-1*1\/2). Let r = -6\/181 + -1967\/724. Is r greater than or equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of n**6\/360 - n**5\/60 - n**4\/24 - n**2. Let j(b) be the second derivative of q(b). Let o be 9\/(-2)*36\/(-81). Determine j(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/2 + (-7)\/(-2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18806*l**4*v*y + l**4*v - 2*l**3*v*y - 340*l**2*v*y - 299*v*y + 2*y wrt l?\nAnswer: 451344*l*v*y + 24*l*v - 12*v*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.35 + -0.15. Let k = b - 0. Let i = k + -1. What is the third biggest value in 2\/3, i, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -318.2 - -318. What is the second smallest value in 1, -144, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2 + 422*h.\nAnswer: 2*h*(h + 211)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 8*u**2 - 1. Let o be g(-1). Suppose -o*p + 422 + 117 = 0. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29028986?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1747198 is divided by 873595.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/4, 0.11, -0.09, -20, -15, -0.1, 7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-24)\/15 - -3)*15. Solve 5*n = 2*m + o, 0 = 4*n + 6*m - 2*m for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-6840)*1448 - (-9)\/9 - (-6)\/(-57)?\nAnswer: -11\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -104 + 104. Suppose 4*p + k + 13 - 40 = w, -p + 2 = 5*k. Calculate the remainder when p is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3294 and 120231?\nAnswer: 240462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1220 - 1220?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 16*d**2 + 38*d + 60. What is j(-4)?\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-2)*(-1284)\/107.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3167192, -6334385, -9501578, -12668771, -15835964, -19003157?\n\"Answer: -3167193*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1120 and 2630?\nAnswer: 294560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -35.086 - -35. Let n = y - -0.0859951. What is n rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as 12\/49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -30 + 16. Let u = 38 + v. Let r be (-9)\/(-12) - (-270)\/u. Solve r = -4*y - 0*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2283 + 2297. What is the remainder when 64 is divided by m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/(-22))\/((-80)\/88 + 1). Suppose 7*p - 2*p = 40. Calculate the highest common factor of d and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a hour in minutes?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10090 + 543. Is m a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -17*p - 28 - 8*p**2 - 5*p**2 + 4346*p**3 + 572*p**3. Let t be l(-12). What is t rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o + 5*o - 1 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 + 21. Calculate the least common multiple of (-12)\/78 - (-160)\/26 and l.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 370 + -506. Let x = -136.3 - n. Which is the closest to 3? (a) x (b) 4 (c) -1 (d) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(6*sqrt(196) + (sqrt(588)*-2)\/sqrt(12))\/(sqrt(49)\/(sqrt(21)\/(sqrt(27) - sqrt(3)) - sqrt(7))).\nAnswer: 30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7615795?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2938*g - 108689. Give z(37).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pfbddhs. Give prob of picking 1 d, 1 h, and 1 f.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 1073*c - 4064. Let z(f) = -1117*f + 4063. Let h(p) = -2*x(p) - 3*z(p). What is the derivative of h(a) wrt a?\nAnswer: 1205","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 303*b + 303*b + 295*b - 899*b.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22 - -12. Let z be 1 + 8\/l - 28\/(-10). What are the prime factors of (-3)\/9 - (-19)\/z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 13578 and -31261?\nAnswer: -424461858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/18 - 220\/(-99) - 3. Which is smaller: -2\/455 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 136104*n**5 + 354179*n.\nAnswer: 2722080*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-6)*(-102)\/17.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1663970?\nAnswer: 2, 5, 7, 11, 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179 is divided by 33.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 27*x**2 + 18*x**2 - 22*x**2 + (2 - 4 + 0)*(-3*x**2 + 3*x**2 + 2*x**2) + (3*x - 3*x + x)*(x - 3*x + 0*x) + 2*x**2 + x**2 - 4*x**2.\nAnswer: 16*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 204684 + -119462. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*m - 370 - 512 = 0. Solve -39*l + 9 = -m*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2, 121589, -0.4, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -41*g**2 + 3*g + 23*g - 26*g - 5 in the form s*g + x*g**2 + h and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 393407\/375 + -969\/125. Are p and 1040 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -3769246*z. Let n(m) = -7*m**2. Give i(n(r)).\nAnswer: 26384722*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -17, 12, -2\/5 in descending order.\nAnswer: 12, -1\/4, -2\/5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 10:59 PM?\nAnswer: 11:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {n: 1, d: 1, e: 1, a: 1, r: 2, j: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73155?\nAnswer: 3, 5, 4877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5, m: 7, u: 4}. Give prob of sequence zmz.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 z when two letters picked without replacement from {z: 2, x: 1, n: 1, s: 1, q: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of w**6\/24 - w**5\/4 - 5*w**4\/24 + 5*w**3\/2 + 41*w**2 + 2*w + 23. Let y(n) be the first derivative of l(n). Factor y(u).\nAnswer: 5*(u - 3)*(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -691*m - 4701 = 551*m - 49413 for m.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -74, -138, -186, -212, -210, -174, -98, 24?\nAnswer: 198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/13, 0, 4\/3, 177, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28050 and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 152717, 306160, 459627, 613124, 766657, 920232?\nAnswer: 1073855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: a (base 14) to base 6\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 81.3877246 rounded to one decimal place?\nAnswer: 81.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, o: 2, k: 5}. What is prob of picking 3 k?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -7*h + 52. Let l be y(7). Suppose 11*v = -l*v + 70. Solve 2*a - 36 = -3*a + 4*r, -a = v*r + 16 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 - 2*d - 12. Let l be i(-10). Suppose -5*o - 3*m = -l, 6*o - m = 5*o + 28. Calculate the remainder when o is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*p**2 + 50*p - 50*p - 3 in the form q*p**2 + m + i*p and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 at least as big as -84\/365?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 9 - 9 + r. Let g(t) = 3*t. Let c(n) = 4*g(n) - 14*s(n). Let x(o) be the third derivative of -2*o**5\/15 + o**2. Calculate x(c(h)).\nAnswer: -32*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -1\/6 (b) -2\/2241345 (c) -0.4 (d) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16193494 is divided by 90?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.87 - 76.13. Let z = w - -93. Which is the smallest value? (a) 0 (b) -2\/3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 12795?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5402266782 to the power of 1\/2, to the nearest integer?\nAnswer: 73500","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18128 divided by 311.\nAnswer: -18128\/311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 77 - 82. Let k be -2 + 0 - -5 - (-6 - t). Solve 2*x + 14 - k = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2*v - 1. Give z(12).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 9:39 PM?\nAnswer: 10:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttttttwttitttt. What is prob of picking 2 t?\nAnswer: 26\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9257845378 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/((-18)\/(-24)) + 362)*20. What is the highest common divisor of 40 and x?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3937?\nAnswer: 31, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3199.7000027166 + 3199.7. What is b rounded to 7 dps?\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 79447153 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -75.7 times -0.1?\nAnswer: 7.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kskakddbadddadaks. What is prob of picking 2 k?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1838 + -1838.5. Sort 5, -15.9, w.\nAnswer: -15.9, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 13) to base 8\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-7)\/3)\/(2\/72). Suppose -22 = 2*a - 20. Let k be (s\/(-6))\/((-2)\/a). Solve -k - 2 = -3*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z - 2. Let o(j) = 2*j - 2. Let s(v) = -2*h(v) + 3*o(v). Let r = -35 - -35. Suppose 2 + r = k. Give s(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by -80\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, -3, 0, 7, 18?\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 4*n. Let z be a(1). Suppose 5*t - 34 = x, -x + 7 - 16 = 0. Solve 2*q = -5*v - t, 4*q + z = 3*q - v for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -202*l + 1. Let n(q) = -102*q + 1. Calculate -2*g(r) + 5*n(r).\nAnswer: -106*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 28678629.74 to the nearest 1000000.\nAnswer: 29000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -439150 to the nearest ten thousand.\nAnswer: -440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 5*h + 4*w - 1, 4*h + 47 = w. Let v(l) = -l**2 - 11*l + 1. Let q be v(h). Let d be 4 - 4 - q*-3. Is 2 at least d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 1717?\nAnswer: 1717","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 937*r + 22374 - 15316 + 26674 = 0 for r.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 0.5, -9, 0.1 in descending order.\nAnswer: 0.5, 1\/4, 0.1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 55894490?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 AM and 12:13 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.05451653 to 1 dp.\nAnswer: 10.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 + 19. Find the first derivative of 0 + l - h + 4 - 6 wrt l.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 + 4*k + 11. Let v(z) = -z**2 - 2*z - 10. Let m(t) = -6*f(t) - 5*v(t). Let s be m(-12). Solve 0 = -2*l + 4 - s for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 11 = 2*x, 4*q + 10 = -4*x + 42. Let g(k) be the first derivative of 2*k**3 + 2*k**2 - k - 1. Let f(p) = 2*p**2 + p. Give x*f(l) - 2*g(l).\nAnswer: 2*l**2 - l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1446*v = -1450*v - j + 5, v - 25 = -5*j for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*r - 89 - 26. Sort -0.5, -1, r, 0.4 in descending order.\nAnswer: 0.4, -0.5, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -44, 3, -1, 4, 5 in descending order.\nAnswer: 5, 4, 3, -1, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 + 105*j - 558. Determine c(38).\nAnswer: 1988","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 + 39 + (-1 - 5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, u: 11, g: 1}. Give prob of picking 2 u, 1 g, and 1 s.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 574315106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 37*v**2 - 3*v - 15. Let n(o) = 29*o + 5. What is n(m(k))?\nAnswer: 1073*k**2 - 87*k - 430","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 6:11 PM?\nAnswer: 7:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 8:03 AM?\nAnswer: 7:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v**3 + 43*v**2 - 762*v - 105. What is i(-33)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 6*f**3 - 9*f**2 - 3*f. Let b(r) = -7*r**3 + 10*r**2 + 4*r - 1. Let v(x) = 5*b(x) + 6*m(x). Suppose -3*d - t = -11, -4*d = -2*d + 3*t - 5. Give v(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1948.\nAnswer: 2, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 - 21*k - 162. Suppose -198 = 12*s - s. What is the hundreds digit of i(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of 734*k**5\/5 - 4288*k + 2099. What is the derivative of w(p) wrt p?\nAnswer: 2936*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3038513 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 33 = r. Let t = -1 + r. Let o = 62 + t. Is 28 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 - 4*q + 7. Let t(p) = -p**2 + 4*p - 8. Let n = -1561 + 1555. Give n*t(g) - 7*x(g).\nAnswer: -g**2 + 4*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2499 = 227*k - 276*k. Calculate the remainder when 508 is divided by k.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28901489 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h**2 - 23*h - 36. What is the remainder when 175 is divided by z(-8)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/(a*a**(7\/6))*a**(-5)*(a*((a\/(a*a**(-1\/51)*a))\/a)\/a)\/a**(2\/71) assuming a is positive.\nAnswer: a**(-19735\/2414)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/1926 and -50\/3531.\nAnswer: 21186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 + 38*g**2 + 165*g + 4. Let p be a(-33). What is the highest common divisor of p and 1172?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -11.07 and -43.39.\nAnswer: -54.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (7\/(189\/(-18)))\/((-1)\/3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1174, -1486, -1802, -2122, -2446?\nAnswer: -2774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 63 - 39. Suppose 0 = -m + d + 7. Suppose 74 = x - 4*z + m, 4*z = 2*x - 90. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (sqrt(325) + 1 - sqrt(325) - 1*sqrt(13)*6))*-1*6)**2 + -4.\nAnswer: -1296*sqrt(13) + 17168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -26.36669 take away 0.1?\nAnswer: -26.46669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 229 - 74. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 14 + (1 - (1 - 0)). Suppose 0 = 8*u - 0 - 8. Solve -5*o + u = -g - t, 5 = g for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 6 = -c - 5, 0 = 4*c + 4. Let b(d) be the first derivative of -d**4\/2 + d**3 - 3*d**2\/2 + d + 13. Calculate b(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(396) + (sqrt(396)*-2 - sqrt(396)) + sqrt(396) + -3 + 1 + sqrt(396) + -5)**2.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2527 >= 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -139 divided by -336\nAnswer: 139\/336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 76, 15, -1 in increasing order.\nAnswer: -1, 15, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 6 - 3 = 8 + 7, m - u - 10 = 3*u for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m - 4. Let q be f(3). Let x be ((-4)\/(-6))\/(q\/(-168)). Let t = x + -57. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 - 3*h + 3. Let b be u(-3). Suppose -4*m - b*k + 245 = 0, -5*k = 3*m - 0*m - 181. What is the highest common factor of m and 155?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1114.\nAnswer: 2, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) -1\/3 (b) -0.1 (c) -26425 (d) 1 (e) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/106890 and 89\/128268.\nAnswer: 641340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*n - n. Suppose -2*z = -n + 7. Let i(d) = 14*d**2 + 5*d + 2. Is i(z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 AM and 7:20 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -q - 0*q. Let k be (q + 1)\/(7\/14). Is 17 bigger than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 15*u**3 - 1 + 4.\nAnswer: 15*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -252 = -2*b + 4*d, -3*b + 189 = 5*d - 134. Suppose -5*l + 3*l + b = 0. What are the prime factors of l?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 658329*0.3\nAnswer: 197498.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) 0 (c) 5\/17 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*m**2 + 2*m**2 - m**2)*(-4*m + 3*m + 3*m) as j*m + v*m**3 + f*m**2 + i and give v.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-215)\/(-2) - (259\/(-14) - -19). Which is smaller: 431\/4 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 299 = -21*k + 40*k - 252 for k.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 - 14)*(-4 - -3). Suppose -k*f + 5 = -6*f. Sort -2, 4, -1, f in descending order.\nAnswer: 4, f, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -35813\/18 + 1995. What is the common denominator of u and 37\/12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34*k - 91*k - 44*k)*(11 - 3*k - 11) - 11*k**2 - 69 + 69.\nAnswer: 292*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x + 3*x - 5*z = 75, 5*z - 585 = -135*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, a: 2}. What is prob of picking 2 a?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -0.41 (c) -146 (d) 2 (e) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 378*l**3 + 5*l + 6551. Let d(x) = 75*x**3 + x + 1310. Let s(k) = 11*d(k) - 2*u(k). Differentiate s(b) with respect to b.\nAnswer: 207*b**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8b68c0 (base 13) to base 16.\nAnswer: -325785","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -2*h**5\/15 - 11888*h**4\/15 + 1586*h**3 + 7132*h**2\/3 - 95128*h\/15 + 15856\/5 = 0.\nAnswer: -5946, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -232329*-8.\nAnswer: 1858632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 + 413*i**2 - 4267*i + 377. Calculate u(10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 130 = -2*h. Let j = 69 + h. Calculate the remainder when j is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-3)*i)\/i**(-7))\/((i\/i**1)\/i)**(-11)*((i\/(i*i*(i*(i\/i**(-1))\/i)\/i))\/i**(1\/4))**33 assuming i is positive.\nAnswer: i**(-321\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 > 294.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 15*n**3 + n**2 + n - 1. Let y = 59 + -28. Calculate the remainder when y is divided by j(1).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 626883391 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -496*j**3*k**4 - 222*j**3*k**2 + 2*j**3 + 110*j**2 - 134304*k**4 - 497*k wrt k.\nAnswer: -11904*j**3*k - 3223296*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.33 times 0.9\nAnswer: 0.297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/7 in 2, 5, -0.5, -2\/40371?\nAnswer: -2\/40371","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55662019 is divided by 1068?\nAnswer: 1063","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2736)\/760)\/((-20)\/(-3000)*-5).\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8616873?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jrnmtent. What is prob of picking 1 n and 1 r?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*g**3 - 209678*g**2 + 209673*g**2 - 3*g**3 + 4*g**4 - 26*g - 2 in the form l + y*g**2 + w*g**4 + k*g**3 + o*g and give o.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4 (b) 3\/8 (c) 0.26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.2 - 2.8. Let q = 4.96 - -0.04. Let g = q + c. Which is smaller: 0 or g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/3 + 3*4. Let n(g) = g**2 + 7*g - 7. Let u be n(-9). Suppose -a + u = 6. Solve -l = a*q + 4 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11443 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j + 4. Let n(p) = -2*p + 3. Let b(c) = -3*n(c) + 2*w(c). Let k be b(1). Let i be k + (-1 - (-3 + 3)). What is the third biggest value in -3, 2, i?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.4947 + 5.5417. What is o rounded to 2 dps?\nAnswer: 2.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -809*h + 355 = -738*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -23*t**3 + 3*t**2 - t + 1. Let q be w(2). Suppose -6448 = 11*x - 37*x. Let u = x + q. Does 25 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(2268) - sqrt(504)\/(sqrt(56)\/sqrt(7)))\/(-4*sqrt(54)\/(sqrt(6) + 4*sqrt(36)\/sqrt(6))))**2.\nAnswer: 29575\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 + f. Let g(r) = -2*r**2 + 4*r. Let w(x) = -g(x) - q(x). Let d be w(5). Suppose d = -0*a - 5*a - 20. Let i(o) = -2*o - 4. Determine i(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.05216543307 and 1817.\nAnswer: 1817.05216543307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 6:31 PM?\nAnswer: 2:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.8 + 0.03. What is o rounded to one decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(7\/3)\/w**(-2\/9)*(w**6*w*w)\/w*w*w**2)**(2\/11))**(-17) assuming w is positive.\nAnswer: w**(-3842\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 527 and 155?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7.15 + -846.05. Let c = r + 793. What is c rounded to the nearest integer?\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5 - (-1 - (5 - -2)). Let u(t) = -5*t + 17. Let l be u(k). Find h, given that 8\/15*h**l - 4\/15 - 4\/15*h**4 + 2\/5*h - 2\/5*h**3 = 0.\nAnswer: -2, -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3\/112, -10, -1, -4?\nAnswer: -3\/112","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 4*a**3 - 6*a**2. Let y(k) = -3*k**3 + 5*k**2. Suppose 0 = 3*n + 3*z - 15, -4*n + z = -6*n + 10. Let f(v) = n*y(v) + 4*j(v). Let f(i) = 0. What is i?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/23232 and -77\/12.\nAnswer: 23232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/6*(-3)\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14354771 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2*p - 6. Let g(y) = -4*y**2. Give h(g(t)).\nAnswer: 8*t**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 24c + -541?\nAnswer: -2f5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 6*q + 4*a - 10608 = 0, -5*a = 2*q - 7072. Suppose 2*c = 19*c - q. Is c a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 8*r - 199. Let d be i(25). Let k be (-286)\/33 + 8 + (1 - d). Is k < 3.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(14\/462*21)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 386*q**3 - 76*q**2 + 75*q**2 - 263*q**3 + 10 to z*q**2 + i*q + m*q**3 + w and give m.\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 2 (b) 5 (c) -1.268\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27927892.\nAnswer: 2, 6981973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 - -15. What are the prime factors of ((-7)\/k)\/((-6)\/18)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -596 divided by -17?\nAnswer: 596\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2278?\nAnswer: 2, 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -7*m**3 + 5*m**2 + 26*m + 39. Let q(a) = -4*a**3 + 3*a**2 + 14*a + 19. Let r(o) = 3*j(o) - 5*q(o). Find the first derivative of r(i) wrt i.\nAnswer: -3*i**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101262841 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 0 - 0) + 144 + -152.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 11285, -2\/23, -16\/3?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6338 and 6?\nAnswer: 19014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6160250 and 1700?\nAnswer: 209448500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 44*q**5 + 378056*q**4 + 946169760*q**3 + 576067658688*q**2 + 102209557544640*q + 18564518044800 = 0. What is q?\nAnswer: -3906, -390, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 121 - 104 - (1 - -19).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -5*(-434)\/6 + (-60)\/90*1. Calculate the greatest common factor of 19 and d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/17 - 107538642*m\/17 - 107538644\/17.\nAnswer: 2*(m - 53769322)*(m + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 36 - -6050340?\nAnswer: 6050406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1485\/(-5346)*(-9)\/(-15).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 631 divided by 2.\nAnswer: 631\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 PM and 2:24 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3\/(2 + 4)*12 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 + 6*r**2 + 2. Suppose -5*l + l = 0. Suppose -5 = -0*f + f + 4*x, -2*f - 5*x - 4 = l. What are the prime factors of v(f)?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1 and 37?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 + 6*g + 2. Let c be w(-6). Let t be (-19)\/(-5) - (-3 - c\/25). Suppose -t*f = -82 - 62. What is the greatest common factor of 324 and f?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 g when two letters picked without replacement from {g: 10, k: 9}.\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**5\/23 - 176*x**4\/23 + 2400*x**3\/23 - 512*x**2\/23 - 51200*x\/23 = 0 for x.\nAnswer: -100, -4, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -8*i - 14. Let a be (204\/(-24))\/((-1)\/2). Let k(t) = 3*t + 5. Let y(x) = a*k(x) + 6*g(x). Calculate y(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 2 = -19. Solve 0*q + 3 = -i*q - 5*w, 5*q = 3*w + 29 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*z + 27*z - 70 = -5*t, -z + 3*z + 2*t = 19532 - 19530 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/554372 and 149\/1008.\nAnswer: 19957392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v - 83*v**2 - 186548 + v + 90*v**2 + 186548.\nAnswer: 7*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5630 + -5534. Calculate the remainder when a is divided by 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -42*x**3 + 4*x**2 + x + 4. Let r be i(-2). Suppose 366 - r = 6*o. Solve -4*c - 3*n = -o, -5*c - 12 = -2*n - 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - 2*l + 5*l + 6, -2*l - 4 = 2*d. Suppose -4*x + x + 156 = d. Does 23 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 13 - (-26 + (5 - 8 - 9)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, -3, 36, 201, 21.\nAnswer: -3, 1, 4, 21, 36, 201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/((-6)\/763)*(-64)\/(-32). Let v = h + 636. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rriirrirrriirrrirr. What is prob of picking 2 r and 1 i?\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1a3cc7 (base 14) to base 4\nAnswer: 3203232013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -2\/9, 3, -5\/2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n. Let v be 1*-3*(-5)\/3. Suppose 38 - 3 = -v*k. Let t(h) = 2*h. Let q(a) = 3*a. Let r(o) = k*t(o) + 5*q(o). Calculate r(g(p)).\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 3*q + 22. Let v(b) = 3*b - 21. Let g be v(5). Let y be c(g). Put -4, y, 7 in ascending order.\nAnswer: -4, y, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8859\/16 + -554. Calculate the common denominator of 89\/12 and h.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -90*w + 33. Let c be t(-4). Let f(n) = -397*n - c*n + 791*n. Let s(y) = 0*y - 2*y + 7*y. Give f(s(k)).\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 17220991 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30142 - 30141.5. What is the closest to 0 in 1, x, -4\/585?\nAnswer: -4\/585","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -525 (base 7) to base 10.\nAnswer: -264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of 1\/90*x**6 + 167\/18*x**4 - 151*x + 1 + 208\/3*x**3 + 507\/2*x**2 + 8\/15*x**5. Factor u(n).\nAnswer: (n + 3)**2*(n + 13)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-2 + (-1 + 5*(sqrt(128) + -3)*2)*2)**2.\nAnswer: -61440*sqrt(2) + 165888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + x + 430 = 5*x, -4*s - 385 = 5*x. Let b be 5\/(-2)*48\/s. Let w(l) = -l**2. Let o be w(0). Is o < b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -109 at least -106?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 12, w: 3}. Give prob of sequence mmww.\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 14) to base 4\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y**(-35)*y*y)*y**8*y*y*y**37*y*y\/(((y**(-4\/5)*y)\/y)\/y) assuming y is positive.\nAnswer: y**(424\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -201 + 203. Let q(k) be the second derivative of -3\/40*k**5 + 1\/8*k**3 + k + 0*k**4 + 0*k**m + 1\/56*k**7 + 0*k**6 + 0. Factor q(c).\nAnswer: 3*c*(c - 1)**2*(c + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -186 + 479. Let r = 188 - b. Is 7 a factor of (3\/(-5))\/(3\/r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 - 7*v**2 - 6*v. Let g = 2 + 1. Suppose -13 = -2*x + g. What is the tens digit of n(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 479579, 479731, 479987, 480347, 480811, 481379, 482051?\n\"Answer: 52*i**2 - 4*i + 479531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39785, -79640, -119495?\nAnswer: -159350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 45 - 49. Let o = -34 + 205\/6. What is the smallest value in d, 7, o?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4117\/10 + 2056\/5. Let o be (213\/84)\/1 - 2. Let r = 3\/28 - o. What is the nearest to 1 in q, -2\/13, r?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1\/7, 5, -6\/5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -1585 - 5715 + f**2 + 2*f - f + 2179 as i + k*f + l*f**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -60952675 by -5.\nAnswer: 12190535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/(sqrt(10) + sqrt(160))*-2.\nAnswer: -2*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 69*z - 17. Is m(6) a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010011000100000101 (base 2) in base 6?\nAnswer: 11143045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 34262840, 34262835, 34262830, 34262825, 34262820?\n\"Answer: -5*j + 34262845","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 890 is divided by 840?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 13 = a, 3*q = -3*a + 26 + 31. Suppose -16*p + a*p = 96. Calculate the highest common divisor of p and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -52 - -117. Suppose -4*f + a = -123. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 444*y**4 + 7*y**2 - 14*y wrt y.\nAnswer: 10656*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/20)\/(7\/(28\/(-3)))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/8, -3, 0.111, 886.76, -0.2 in increasing order.\nAnswer: -3, -0.2, 0.111, 3\/8, 886.76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 113327 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -4*r - 294. Let i be f(21). Let y = 382 + i. Solve 51\/5*n**y - 9*n**5 + 6\/5*n + 39\/5*n**3 + 0 - 51\/5*n**2 = 0 for n.\nAnswer: -1, 0, 2\/15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/18)\/(315\/(-42)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of -4626*g**2 + 9416*g - 1005. Differentiate q(k) with respect to k.\nAnswer: -9252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 400?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 204 and 3332.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-8)\/(-6))\/((-1)\/57). Suppose 12*j + 26 - 242 = 0. Let x be 2\/(-9) - k\/j. Solve 15 = -4*q - q - p, -x*q = -p + 21 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 - 19. Suppose -5*o + c = 11, 0*c + c = d. Is -1222*5\/(-10) - o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35856495 is divided by 209.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3064127 (base 8) in base 14?\nAnswer: -172499","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 814 divide 42561618?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 2020 = -4*y, -3*m + 3*y + y = -1480. Suppose -54*v + m = -56*v. Let z = v - -405. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 + -4. Let u = x + 13. Which is the nearest to -0.1? (a) -3 (b) u (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q\/q**(-17))\/q*q\/(q*q\/(q\/q**(-1\/16))*q)*q)\/(q**5)**6 assuming q is positive.\nAnswer: q**(-175\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 0*k = 3. List the prime factors of (-1 - -11) + k + 3.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c + 90 = 4*c. Let v be (8\/c)\/((-12)\/(-30)). Which is greater: v or -2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*a = 1 - 1. Calculate the common denominator of (-2910)\/(-15)*(a + 1\/(-244)) and 7\/12.\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 + 5*k**2 - 1613*k + 9684. Calculate d(6).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/8, 0, 60.\nAnswer: -1\/8, 0, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -30*k + 29*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 9 = -k, 3*k + 4*o = -4*k - 12 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.92 + 0.08. Let w = m + -4.03. What is w rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 13403, 52724, 118259, 210008, 327971?\n\"Answer: 13107*p**2 + 296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**2\/r)**(-8\/5)\/((r\/(r**(-3)*r))\/r**(-4\/7)))\/(r**(-4)\/(r**(-3\/5)*r))**(4\/19) assuming r is positive.\nAnswer: r**(-2823\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 6\/13 (b) 0.2 (c) 3 (d) 5 (e) 46.7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -4*t**2 + 3*t + 2. Determine v(-2).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 + 11*g**2 - 10*g + 9. Determine c(10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 68.95427ng?\nAnswer: 0.00000000000006895427","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2189.\nAnswer: 11, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2\/158503 - 112663\/3632888760. Let l = -198577\/1443960 + q. Calculate the common denominator of 62\/15 and l.\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1037 times 254204\nAnswer: -263609548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2787328 divided by 696832.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + y - 170 = 0. Let a = -32 + y. Calculate the lowest common multiple of 228\/30 - (24\/15 - a) and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**3 + 288*o**2 - 1068*o - 1360.\nAnswer: -4*(o - 68)*(o - 5)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(44)\/sqrt(2))\/sqrt(2) - sqrt(11) - 1*(sqrt(11) + -2*sqrt(11) + sqrt(11)))*-5 + -4)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 0*p - 2. Find the common denominator of ((-130)\/4)\/(0 + p) and 2 - -29*(-2)\/16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 582148 = 2*m, -38*m + 5*x - 1164338 = -42*m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 1. Let f(n) = n**3 + 3*n**2 - 2*n + 8. Let u be f(-4). Suppose -4*w + 4*c = -8, u = -3*w + w + 3*c + 6. Is w <= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -94\/9 or -9?\nAnswer: -94\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -4*m + 203, 0 = -4*t - 12 - 8. Suppose 111*b = -39*b - 91*b + 22895. What is the highest common divisor of b and m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 913\/4 + -227. Let x = m + -3\/2. What is the closest to 1 in -2\/7, x, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 - 7*j + 2. Suppose -2*t = -t + 6. Let r be a(t). Let d be (-2)\/(-1 + 18\/20). What is the highest common factor of d and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 142 + 88*v + 49*v - 173*v - 149. Let n(l) = -37*l - 6. Determine 6*h(g) - 7*n(g).\nAnswer: 43*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2849.61536 rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 5*b + 6 = -2*z, 0 = -3*z - b + 11. Factor 0*r + 2*r**2 + 7*r - 9 - 5*r**2 + z*r.\nAnswer: -3*(r - 3)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.76511 rounded to two dps?\nAnswer: 3.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 2*x - 3*x - 37 = 0, 3*j - 5*x = 15. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -10. Suppose 25 = -2*s + a*n, 2*n + 28 = -s + 2. Let b = 35 + s. Is 9 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 3 (c) -0.2 (d) 4\/5 (e) -522 (f) 0.14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32 + -32.146. Let z = a - -1.146. What is the nearest to -2 in z, -2\/3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -3*o + 234, o + 3*o - 8 = 0. Let i = -90 - p. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 417 - 2077\/5. Determine h, given that -4\/5*h**3 + 16\/5*h + c - 2\/5*h**4 + 6\/5*h**2 = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + f + 12 = 6*f, 12 = 2*r + f. Let l be ((-4)\/r)\/((-2)\/12). Suppose -7*s = -8*s + l. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20494 + 42381. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (3 + -1) - (-15 + 0 + 26).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 165369056.\nAnswer: 2, 43, 120181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 162*i**4*t - i**4 + 38771*i**3 - 295798309*i**2*t wrt i?\nAnswer: 3888*i*t - 24*i + 232626","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -131 (base 11) to base 3\nAnswer: -12202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 343 and 147.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-15) + (-321)\/(-15). Let n be (1*-3)\/(c\/(-35)). Solve 0 = -2*o + n - 1 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 5, o: 1, w: 1, e: 5, v: 6, u: 2}. Give prob of sequence auw.\nAnswer: 1\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 4 = -0*g + g, 20 = 5*g + 2*h. Let r = 19 + -23. Which is the biggest value? (a) g (b) r (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -3. Let p = -1926.16 + 1938.16. Which is the nearest to p? (a) k (b) 0.2 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -812, -1045, -698, 229, 1736, 3823?\nAnswer: 6490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*q + 143 = -33. Let l(r) = -1. Let s(f) = 4*f + 40. Let y(b) = 2*l(b) + s(b). Calculate the remainder when y(q) is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*v + k, 3*k + 0*k = 4*v - 12. Suppose 0 = v*o + 48 - 0. Let a be 3\/((-21)\/121) - o\/28. Are a and -31\/2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11712 = f + 48*q - 53*q, -5*f = 4*q - 58415. What are the prime factors of f?\nAnswer: 13, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 4*g**2 - g + 7. Let y(o) = 5*o**2 + 8. Suppose -3 + 0 = a. Let h(t) = a*y(t) + 4*l(t). Let z = -10 - -14. What is h(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12149 or -12208?\nAnswer: -12149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 8 = -i, 0 = -t + 3*i - 87. Let f = -88 - t. What is the second derivative of -14*y + 27*y - 6*y + 30*y**f - 36*y wrt y?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1374334 to the power of 1\/2, to the nearest integer?\nAnswer: 1172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5 + (0 - 3)*(-1)\/(-1). Is 1\/2 greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/56*(-2)\/(-8).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1650120 divided by -4?\nAnswer: 412530","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30*l + 8*l - 51 + 21*l)*(l + 0 + 0).\nAnswer: -l**2 - 51*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19908 + -2831. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (c + 0*c - 3*c)*(0 + 0 + 2*c) - 1211 + 1211 - 460*c**2 + 3*c**2 - 4*c**2 - 2*c**2 + (0*c + c**2 + 0*c)*(-2 - 3 + 4) as z + y*c**2 + w*c and give y.\nAnswer: -468","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g**2. Let h = 58 + -56. Let u(n) = -18*n**h + 5*n**2 - 5*n**2. Give u(k(r)).\nAnswer: -72*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -46 in 3, -0.2, 124?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*t - 1 - 9*t - t + t**2)*(3*t**2 - 4*t + 4*t).\nAnswer: 3*t**4 - 9*t**3 - 3*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of h**4\/4 + h**3\/2 + 3*h**2\/2 + 5*h + 3. Let u(x) be the first derivative of k(x). What is u(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-6)\/(-6) - (-1 - -10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = 5*d + 25, -204*r + 199*r = -5*d - 25 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22 - 17) + (0 - 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1639218071.\nAnswer: 7879, 208049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76)\/(sqrt(28)\/(-2*sqrt(7))).\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + 1c1e?\nAnswer: 1c1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2*-4*(5 + (5 + sqrt(300))*1))**2 + 2.\nAnswer: 12800*sqrt(3) + 25602","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 + 2*r**2 - r + 5. Let f be g(0). Suppose f*s = 478 + 1842. Suppose 2*u = -2*u + s. Is u a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*m - 3*w - 14, -3*m + 12*w = 13*w + 10 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (1*2\/4)\/(70\/(-60))\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -107, 2, 9 in ascending order.\nAnswer: -107, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 2. Let x = -5\/16 - -77\/144. Let m = -0.3 + -0.1. What is the nearest to x in m, c, -4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*33\/(-6) - 30\/60. Solve -3*g + k - z = 0, 2*k - 3*k = -1 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of -c**4\/24 + 3*c**3\/4 + 13*c**2 + 2219*c. Determine o so that t(o) = 0.\nAnswer: -4, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -3*h + 4. Suppose 0 = -3*o + 8 + 55. Let z = o - 17. Let d(n) = -12*n + 15. Determine z*d(m) - 15*y(m).\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 4, -10, 4528, -0.1 in decreasing order.\nAnswer: 4528, 10, 4, -0.1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 11:01 PM?\nAnswer: 12:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -b**3*l**3 + b**3*l + 470*b**2*l + b*l**3 + 31*l**3 wrt l?\nAnswer: -6*b**3*l + 6*b*l + 186*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1201 - 1265.7. Let h = -65 - o. Which is the third biggest value? (a) 1\/6 (b) h (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -197 - -227. Is s a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 2476253?\nAnswer: -247625.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o. Let n be 9\/(-15) - 86\/(-10). Let d(r) = -34*r - 21. Let h(z) = 15*z + 9. Let k(p) = 6*d(p) + 14*h(p). What is n*x(y) + 3*k(y)?\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4489966801 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1176137 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*z**5 + 96*z**4 + 160*z**3 + 104*z**2 + 12*z - 8.\nAnswer: 4*(z + 1)**3*(z + 2)*(5*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26 - -29. Solve -5*j + 0*j + 5 = 4*t, 4*t + 3 = o*j for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 4*c = 3*c - 31, -2*c + 8 = 0. Let a = 7 - 4. Suppose -4*q = w + 4*w + 20, 0 = a*w - 2*q - 10. Sort -3, w, y in ascending order.\nAnswer: -3, w, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*6*sqrt(45).\nAnswer: 108*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2964\/23940 + 8\/120.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k**2 + 2*k - 2*k. Let q be (-676)\/(-16) + 3\/(-12). Let a(t) = -q - 2*t - 2*t + 42. Give u(a(f)).\nAnswer: 32*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 16\/1) + -17*(-36855)\/28917\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37640 rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/34967, 5, -9.1?\nAnswer: -9.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)\/((1*sqrt(28))\/sqrt(7)).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z - 3 + 1 - 4*z)*(-z + 4*z + 3*z**3 - 4*z).\nAnswer: -3*z**4 - 6*z**3 + z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2765 + 3270?\nAnswer: 6255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 41*n - 43*n. Determine k so that 2*k**3 + 4*k + 5*k**3 - n*k**2 - 7*k**4 + 8*k**3 + k**5 = 0.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - -1520?\nAnswer: 1524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*r + 2*r + 48*r - 1 + 26*r + 20*r to the form x + b*r and give b.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 - 8*f + 12. Let a be v(6). Solve a = -w - 3*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 38 and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -15.6 to 0 decimal places.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of o**8\/784 - o**6\/140 + o**4\/56 - 3*o**2 + 4. Factor j(z).\nAnswer: 3*z*(z - 1)**2*(z + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 368848 (b) -3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/12 - (-7)\/(-28)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00112000112 to 5 dps.\nAnswer: -0.00112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-8) - (-69)\/(-6). Let u be l\/10*(-15)\/6. Suppose -8*s + 115 = -u*s. What is the remainder when s is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18 by 5.\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -19250 and 1430.\nAnswer: -27527500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g**5 - 8000*g**4 - 474645*g**3 - 8095430*g**2 - 24076640*g + 84460320 = 0. Calculate g.\nAnswer: -1539, -28, -7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 119, 426, 931, 1640, 2559, 3694?\nAnswer: 5051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (l**2 - 4*l**2 + 4*l**2)*(-756 + 1099 - 490 + 1412 + 1231) to the form f*l + q*l**2 + o and give q.\nAnswer: 2496","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in nine sixteenths of a hour?\nAnswer: 2025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 7 = -5*v - s, s = 1. Let c(m) = 2*m + 6. Is 3 a factor of c(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148823627.\nAnswer: 17, 239, 36629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - -66247.\nAnswer: 66254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2)*(3*k + k - 2*k) + 6 - 6 - 7*k.\nAnswer: -11*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118301352?\nAnswer: 2, 3, 13, 29167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1148492?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 130\/20*60\/(-195).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2136 (base 7) to base 9.\nAnswer: -1036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 58, -8608, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 28917.12 milliseconds in nanoseconds?\nAnswer: 28917120000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 AM and 12:36 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 AM and 6:57 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1005*i**4 + 942?\nAnswer: -4020*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1 and 151?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6680 - 3026 = -23*q. Does 15 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 1125128?\nAnswer: 450051.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -40 + (-88)\/(-8)*1. Put -2, -5, r in descending order.\nAnswer: -2, -5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 880 and 72208320.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 39 - 69. Is 266 - (-6)\/v*0 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -214 + 215.83. Let x = 1.647 - k. Round x to two dps.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/748902 and -25\/357.\nAnswer: 12731334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.11 and 267408.3.\nAnswer: 29414.913","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i - 9*i + 15*i + 9 - 4*i. Calculate x(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2616 divided by 1?\nAnswer: 2616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.26 - 2.74. Let h be -1 + 1\/(-2*(-4)\/(-32)). Let n be 10\/(-100)*h\/2. Which is the biggest value? (a) n (b) 0.03 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 10, 2, -13, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-19) - (-405)\/(-57). Let t(l) = -l**2 - 9*l - 6. Determine t(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 51 = 2*n, n - 5*i - 90 = -4*n. Is n a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 9, k: 1, g: 4, v: 3, e: 2}. Give prob of sequence vgke.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of -79*r**3\/3 + 61*r - 60. Differentiate o(s) wrt s.\nAnswer: -158*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -123 (base 4) to base 7\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 422 or 423?\nAnswer: 423","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*c = 45*c. What is the nearest to -2 in c, 3, 2\/11?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65316105?\nAnswer: 3, 5, 211, 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x - 4*x + 10*x**2)*(2*x**3 + x**3 - 2*x**3) + 0*x**3 + 0*x**3 - 4*x**5.\nAnswer: 6*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 1:02 AM?\nAnswer: 6:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3254655?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(44)\/sqrt(4))**2 + sqrt(88)\/sqrt(2) + 0.\nAnswer: -66 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65075 is divided by 419?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(2))*-5 - (sqrt(2) - (sqrt(72)*-2 - sqrt(2))))**2.\nAnswer: 190*sqrt(2) + 747","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2172 is divided by 135.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**3*p*p*p**(1\/2)*(p*p**(-6\/5)*p)\/p*p**(8\/7) assuming p is positive.\nAnswer: p**(451\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - k = -20, 0*f + 5*k = -3*f + 40. Let r = f + -1. Factor 1\/2 - 2*n + 1\/2*n**r - 2*n**3 + 3*n**2.\nAnswer: (n - 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y + 1. Let u(h) = 76*h - 522. Let p(c) = 38*c - 241. Let s(f) = 13*p(f) - 6*u(f). Determine 2*b(x) + s(x).\nAnswer: 36*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/16138 and 61\/28?\nAnswer: 225932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2354 and 48578.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10334, -10335, -10336, -10337, -10338, -10339?\nAnswer: -10340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 32 - -5. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hnnh when four letters picked without replacement from hnnhnnnn?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010110001000101 (base 2) to base 8.\nAnswer: -126105","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.4 - 1.5. Suppose 4*j + 3*n = 3, -2*n - 16 = 2*j - 4*n. Which is the nearest to 0.1? (a) -1\/4 (b) j (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 81.8 + -96. Let b = -12.2 - n. Sort 0.5, -1\/12, b, -1 in decreasing order.\nAnswer: b, 0.5, -1\/12, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 252495*s**2 + 766008*s wrt s?\nAnswer: 504990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 95 + -52 + -19 - 65\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 2) to base 16\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*o**2 + o - o)*(-19*o - 432*o - 371*o) + 7*o - 7*o + o**3 as r*o**2 + h*o**3 + g*o + n and give h.\nAnswer: 3289","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from cnccnnhncc.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2256326575*j - 24*j**3 - 83*j**3 + 2256326574*j.\nAnswer: -107*j**3 - j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(18))**2 + 4 + (-2*sqrt(72))**2 - sqrt(300)\/(sqrt(60)\/(sqrt(30)\/sqrt(3))).\nAnswer: sqrt(2) + 311","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -2*n - 22, -3 = 15*n - 14*n. Factor 0 + 2\/3*x**2 + 0*x - 1\/3*x**3 - 1\/3*x**u.\nAnswer: -x**2*(x - 1)*(x + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4132, -7870, -10824, -12598, -12796, -11022, -6880, 26?\n\"Answer: 66*l**3 - 4*l**2 - 4188*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of 441\/4*q**2 + 3\/8*q**4 - 7 + 21\/2*q**3 + 1029\/2*q. Factor c(v).\nAnswer: 3*(v + 7)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 3.1. Let z = 1 + -4. Let k = -59\/2 - -29. What is the closest to t in k, -2, z?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -279, -1099, -2471, -4401, -6895, -9959, -13599?\n\"Answer: -h**3 - 270*h**2 - 3*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-seven fifths of a litre?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 11 - 2 = 0. Let o be 5 + 2\/y*3. Suppose 0 = -5*k - 3*v + 52, -2*k = -o*k + 2*v. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-74)\/518)\/((1680\/(-49))\/16)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1))**45\/(c\/(c\/c**3)*c**(-1\/3)) assuming c is positive.\nAnswer: c**(-143\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/(-4))\/(15*131\/(-11790)))\/(42\/(-76))?\nAnswer: 38\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13.9 * 2.\nAnswer: 27.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 7*f = -66, w - 24 = -95*f + 98*f for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 851592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 41, 152, 3, 26, 0 in increasing order.\nAnswer: -3, 0, 1, 3, 26, 41, 152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14794955?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(2) + 5 + (sqrt(2) + 0 + 5)**2.\nAnswer: 6*sqrt(2) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o + 9*o = 18*o + x - 94, 3*x = 7*o - 214 for o.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence voz when three letters picked without replacement from {v: 2, z: 4, o: 8}?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 1\/7, 0.2, 4, 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -63 - (0 + -93 - -8).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 + (9 - 25) - -133) + (-4 - 17).\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 3818432?\nAnswer: 34365888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 48958272 to the power of 1\/3, to the nearest integer?\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**2\/5 + 385476*c\/5 - 18573968322\/5 = 0 for c.\nAnswer: 96369","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3166 is divided by 102?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 35166?\nAnswer: 140664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8792, 2488, -3, 3, -4 in descending order.\nAnswer: 8792, 2488, 3, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145614 is divided by 137?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 91367117 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15958 - 15993 - (59 + 1 + 0).\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - -2 - (8 + (-5 - 12))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -24*n + 11. Calculate k(-1).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 6*j - 40. Let a be 4\/j - (-796)\/20. Suppose -r - a = -3*r. Solve q + q + 2*s = -8, 0 = 5*q - 3*s - r for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/2)\/(8\/(-32)). Suppose -c + b*c = 2. Suppose -2*t = t - c*x - 116, 0 = -3*t + 4*x + 124. Is 18 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4720.9 and -0.6?\nAnswer: 4721.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 280939178 to the power of 1\/3, to the nearest integer?\nAnswer: 655","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 172070651 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -3*p - 21. Let o be c(-8). Suppose 3*d + 3 = 4*x, 0*d + d = -o*x + 12. Suppose -14 = x*q - 65. Is q a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 741 - 11823\/16. Find the common denominator of n and 79\/20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -35.4 - -35.33. Which is smaller: -24 or o?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.14749 * 279\nAnswer: 320.14971","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*(x**(-20\/7)*x)\/x)\/x**(-20)*(x\/(x*x**(-2\/3)))**8 assuming x is positive.\nAnswer: x**(493\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 116 = -33*k. Solve -2*q - 14 + k = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -4. Let t be n\/(1*(-1)\/4). Suppose -4*h + i + 27 = -0*i, 0 = 4*i - t. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 + -9 - (-2 + 0)) + 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*f + 3*f + 9*f in the form w + p*f and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -4. Let g(i) = i - 6. Let x(n) = -2*g(n) + 3*s(n). Let p(j) = -14*j. Give p(x(a)).\nAnswer: 28*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 - 4*z**2 + 3*z + 1. Let b = 13 + -18. Is 6 a factor of s(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 3. Let b be 64\/(-90) + (-12)\/30. Which is smaller: f or b?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 12, 8, -0.51, 2, -1.6?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -2\/37 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73 + 71 = -4*i. Let n(c) = 2*c - 71. Let a be n(14). Let z = i - a. Calculate the remainder when 15 is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - -2. Suppose 0 = 5*o - o - 8. Suppose 2*s = g + 4*g - 105, o*g + s - 33 = 0. What is the remainder when g is divided by h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-33)\/6 + 2)*8\/(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/7 + 474504*f**2\/7 - 10037064*f + 2600004800\/7.\nAnswer: 2*(f - 74)**2*(f + 237400)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11 is divided by -4 - -1 - 20\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-9\/2)\/((c*c\/(c*c\/c**0*c))\/c) assuming c is positive.\nAnswer: c**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + d = 3*m - 18, -5336*d - 6*m - 18 = -5332*d + 16 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 3)*(20*i + 2*i - 2*i)*(2 - 5 + 0).\nAnswer: -60*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 - 7*c**2 + c + 4. Let a be b(-7). Suppose v - 3*r = 0, 0 = -2*v - 4*r + 8 + 2. List the prime factors of 2*(v + a + 14).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 66898 to the nearest integer?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 6:35 AM?\nAnswer: 7:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 956300 or 956299?\nAnswer: 956299","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105 is divided by 50.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - 1)*2\/24. Let f = -3.91 + -0.99. Let h = -0.1 + f. What is the biggest value in h, q, -2\/9?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**2 + 2 + 2*t**2 + 0*t**2 + (-t + 5*t - t)*(3*t - 2*t - 2*t) + 0*t**2 - t**2 + 2*t**2.\nAnswer: -t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 267\/8 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/2 - 582*z + 169362.\nAnswer: (z - 582)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 4, k + 29 = -2*t + 319. Let p = 45 + 33. Let u = t - p. What are the prime factors of u?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (54\/8)\/(-27)*-12?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 0*f = 2646*g - 2644*g - 20, 0 = -3*f - g + 20 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in two fifteenths of a hour?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567)*-2 + 1)**2*-5*-3 + 6*(3 + 2*sqrt(252) + 2).\nAnswer: -468*sqrt(7) + 34065","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/2 and -45\/832.\nAnswer: 832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 20 = 10*r. Let z be -2*r\/8*-4. Calculate the greatest common divisor of z and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 5*h = 96, 2*x + 3*x + 3*h - 107 = 0. What is u in x*u**3 + 7*u**2 + 17*u**3 + 14*u**2 - 21*u - 6 = 0?\nAnswer: -1, -1\/4, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30299513063 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from yyuyyuayutzzuty?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -3*m. Let p = 477 - 475. Let k(s) = -s**2 - 23*s**2 - 3*s**p - 8*s**2 - 10*s**2. Calculate b(k(c)).\nAnswer: 135*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03147 - 1.\nAnswer: -0.96853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 AM and 7:00 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((28\/(-8))\/7)\/(1\/216). Let k = u - -150. Does 6 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -90004620 to the nearest one million.\nAnswer: -90000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 288 is divided by 25?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.1089 + 4.1089. Sort -1, -2, -0.4, -0.2, d.\nAnswer: -2, -1, -0.4, -0.2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y + 8617*y**3 + 0*y - 8618*y**3 + 5*y**2 - y**4.\nAnswer: -y*(y - 1)**2*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/39 and -8\/345?\nAnswer: 4485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 361 is divided by 176.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1729*q**2 + 885*q**2 - 1526*q**2 - 483*q**2.\nAnswer: -2853*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r**3 + r**2 + 4*r - 3. Let w be n(3). Let c be (-27)\/w*(-4)\/(-3). Solve 4*h - c = -13 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-12) + (-456)\/(-32). Suppose p*f = -0*f + 56. Suppose 6*i + f = 10. Which is greater: i or -1\/25?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2255140 and 10148130?\nAnswer: 20296260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111011 - 1?\nAnswer: 111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 9987?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 50 and -1.1?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1288\/(-1771)*1023\/12?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -8*z - 42. Let q be k(-26). Let t be q\/(-3)*645\/(-10). Let u = t + -1912. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -105\/368 and -49\/11752.\nAnswer: 540592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/5*(-725)\/(-1160). Let n(x) = 4*x - 12. Let o be n(4). Which is the nearest to f? (a) -5 (b) -3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.62*0.44.\nAnswer: 0.2728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -10*d + 3. Suppose -470*j + 457*j = 364. Let s(l) be the second derivative of -91*l**3\/6 + 14*l**2 - 6*l. Calculate j*k(v) + 3*s(v).\nAnswer: 7*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1464 = -2*g - 6*g. Let j = 192 + g. Does 4 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 84*u - 10*u**3 + 91*u**4 + 50*u**2 - 22*u**3 - 89*u**4 = 0. Calculate u.\nAnswer: -1, 0, 3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5348633\/1068 + (-2)\/(-24)*-1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -407\/2577 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 67\/4 + -2755\/164. Let k = -67 + 66. Which is greater: k or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208 a factor of 35649323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -562 + 564. Sort 0, d, -5 in increasing order.\nAnswer: -5, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2494968 - -1?\nAnswer: -2494967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*r**3*x**3 - 15243*r**3*x - 3*r**2*x**2 - 3*r**2 - 69*r*x**3 - 2*x**3 wrt r?\nAnswer: -12*x**3 - 91458*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 24 = 5*k. Is k a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -988, -971, -950, -931, -920?\n\"Answer: -z**3 + 8*z**2 - 995","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/28690 (b) -1\/2 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 222*i - 224*i - 3*y - 15, -i = -4*y - 20 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + -2 - (6 + 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-4 - (-54)\/12). Suppose -n*l + 1214 + 6758 = 0. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 106 - 67. Let i = j + -35. Which is the closest to -0.3? (a) -1 (b) -0.4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 3*g = -755, 38*g - 33*g = -4*i + 3122. What is the remainder when i is divided by 43?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, -9, -65, -161, -303, -497, -749, -1065?\nAnswer: -1451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 12052 divided by -14\nAnswer: -6026\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven quarters of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1100\/66 - (1 + 2\/3). Solve -g*f = -3*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(2\/3)*p*p*p**(-35\/3) assuming p is positive.\nAnswer: p**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b**0*b*b)**(1\/38)*b**(1\/5)*(b*b\/((b*(b*b**(-3)*b)\/b*b)\/b))\/b*(b**(1\/4)*b)**22\/(b**0\/b*b)**(3\/19) assuming b is positive.\nAnswer: b**(5663\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (100\/32 - 3)*2. Let r = 254\/3 - 84. Let m = 127 + -761\/6. What is the nearest to r in -0.1, f, m?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-6))\/(-2*13\/(-12948)).\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1479*g + 1888*g - 426*g.\nAnswer: -17*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -31, -11, 16, -2, -1, 33 in increasing order.\nAnswer: -31, -11, -2, -1, 16, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31.584 - 29.584. Let g = 10 + -7. Which is the closest to 3\/5? (a) l (b) 3\/7 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 206 - -216?\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (653*p - 653*p + 18*p**3)*(-3*p + 5*p - 5*p) - 3*p**4 - 4*p**4 + 6*p**4 + 12*p**4 + 8*p**2 - 10*p**4 - 2*p**2.\nAnswer: -53*p**4 + 6*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1079247 and 78.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -7.2+562748395.5\nAnswer: 562748388.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 + 6*h**2 - 7. Let g be -6 + (-25)\/(-5) + -4. Let m be f(g). What is the third derivative of -9*d**2 - m*d**6 - 10*d**2 - 10*d**6 + 3*d**2 wrt d?\nAnswer: -3360*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2112 by 528.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 327 is divided by 70 + 8\/((-120)\/(-195)).\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1364405 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + 1213131012?\nAnswer: 1213131020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6340106 is divided by 1589.\nAnswer: 1585","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-6))\/(168\/1260).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 375.9316 rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 447886?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(112) + -2)*2*6)**2.\nAnswer: -2304*sqrt(7) + 16704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10*u - u - 4*u)*(5800*u + 19 - 19 - 5986*u) to the form s*u**2 + o + r*u and give s.\nAnswer: -930","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -608600 to the nearest 10000.\nAnswer: -610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/3? (a) 1 (b) -0.5 (c) 0 (d) -1\/21 (e) -1 (f) -7832\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 3*y - 9 = 0, 5*x - 17210*y + 17212*y - 6 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 285 is divided by 50.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -328006579 less than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -3. Suppose -h + 12 = p, 2*p + 16 = z*h + 60. Suppose 4*c = 16 - p. Is -5\/13 != c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r. Let b(k) = -159006*k. Calculate j(b(c)).\nAnswer: 159006*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85759628 is divided by 112?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**1)**(1\/18))**(-3))**(-2\/45) assuming s is positive.\nAnswer: s**(1\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-5) + (-322)\/35. Let b be (-5 + -1)\/(v\/(-279)). Let l = -121 - b. Does 29 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 250 - 255. Let z = -53.3 - -53. Sort q, z, 0.4 in descending order.\nAnswer: 0.4, z, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13090\/308*20\/(-50).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15*s**3 - 58*s**2 + 4*s + 462536.\nAnswer: 45*s**2 - 116*s + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 296877 + -296877.127619. What is h rounded to 2 decimal places?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.01 - 1.49. Let t = 93.358 + -91.85844. Let i = t + z. What is i rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1548 = -4*w + 5280. Suppose -4*f + 0*a + 76 = -5*a, 4*a + 72 = 4*f. What is the remainder when 2 + w\/27 - (-6)\/(-27) is divided by f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -5*m - 40. Let d be v(-6). Which is smaller: -14 or d?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124*h + 4020 - 7641 = -5853 for h.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*z + 251*z**2 + 249*z**2 - 10*z - 497*z**2.\nAnswer: 3*z*(z - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -5*u - 18. Let y be v(-4). Suppose y*q - q - 5 = 0, w = -3*q + 20. Suppose -p = -14 + w. Calculate the remainder when 14 is divided by p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + 4*q - 5*q + (169 + 15 - 48)*(-q - q + q))*(-q + 3*q - q).\nAnswer: -137*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4849*u + 286892 + 193159 = 0 for u.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -4*k + 50. Let p be g(12). Which is the smallest value? (a) -0.1 (b) -1 (c) -0.3 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 4*t + 16 = 2, 0 = x + 5*t - 1. Let i(r) = 7*r**2 + 41*r + 67. Let j(w) = -4*w**2 - 20*w - 34. Let u(p) = x*j(p) + 6*i(p). Factor u(f).\nAnswer: -2*(f - 14)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n**3 + 4*n**2 + 7*n - 12. What is q(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 166654422 a multiple of 246?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8452529 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0287427749 to 3 dps.\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, p: 2, f: 1, x: 1, w: 8}. What is prob of sequence px?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(2\/9)\/x)\/x**1)\/(x**(1\/8)\/x**(1\/2)))**(2\/55) assuming x is positive.\nAnswer: x**(-101\/1980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48830 is divided by 47.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 < 2265?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3535, -6513, -9491?\nAnswer: -12469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 + 5*n**2 - 3*n - 5. Let g be l(-5). Let f(z) = -9*z - 2*z**3 + z**3 + 3*z**2 + 8*z**2 - 11. Let w be f(g). Which is bigger: -3 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 4*w**2 - 7*w + 7. Let p be 2 - 1\/(-1)*1. Suppose -6*v = -8*v - 4*b - 34, 53 = -4*v - p*b. Let i(n) = 2*n**2 - 4*n + 4. Give v*i(k) + 6*j(k).\nAnswer: 2*k**2 + 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -161\/55 + 30\/11. Which is the smallest value? (a) 0.4 (b) d (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ja when two letters picked without replacement from jcjcajcaccjccacca?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3431, 3548, 3665?\n\"Answer: 117*g + 3314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1632 (base 9) to base 12.\nAnswer: -878","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -6*b**3 - 3*b**2 + b. What is s(1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aauukooaa. What is prob of picking 2 u, 1 k, and 1 a?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*c**5 - 965100*c**4 - 3*c**2 - 2317*c - 708 wrt c.\nAnswer: 300*c**2 - 23162400*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j + 5*j - j)*(0*j + 0*j + j) + (0 + 0 + j)*(0*j + 3*j - 5*j).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1292 (base 12) in base 15?\nAnswer: -96b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in eighty-eight thirds of a week?\nAnswer: 4928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -103840 times -3?\nAnswer: 311520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w - 2*w + 3 + 5*w. Suppose 113*o = 123*o - 50. Suppose -3*v + 10 = -2*i + 9, -o*i = -v - 17. Give g(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -66, 203, -2 in increasing order.\nAnswer: -66, -2, 203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 + 9*c**2 - 10*c - 10. Let o be u(-10). Calculate the remainder when 3 is divided by (-6)\/o + 2\/5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((-1)\/((-8)\/280*-5))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 2*w + 22 = 0, 4*j - 82 = 2*w - 74 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and 1718.\nAnswer: 18898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1323233 (base 6) to base 5.\nAnswer: -4321232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 72 + -30. Let o = -27 + x. What is the remainder when 27 is divided by o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 290463?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 - 11*a**2 + 9*a. Determine x(10).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bu when two letters picked without replacement from buub.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1.1+-1002\nAnswer: -1000.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2486246449 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 135799 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 12, 2, 326558, -3 in decreasing order.\nAnswer: 326558, 12, 2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/(-6))\/((-1)\/8). Suppose -y*p + 17 + 10 = i, -5*i = -4*p - 15. List the prime factors of i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 264 is divided by 81.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 10 = -u - a, -22 = -3*u - 2*a. Suppose 0 = -2*o + o + t + 1, o - 2*t = u. Sort o, 5, -1 in decreasing order.\nAnswer: 5, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 + 273 = 4*d. Solve -9*u = -d + 25 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4907 and 21965134.\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 4*l = -3*l + 4, 16 = 3*i - 4*l. Solve 3*c - 3*w = i, -4*c - 2*w + 6 = -3*w for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of -83*c**7\/21 + c**6\/15 + 1687*c**4\/12 + 1408*c. What is the third derivative of q(k) wrt k?\nAnswer: -9960*k**2 + 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1122 + 200200220?\nAnswer: 200202112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of 3*o**2\/2 - 10*o - 7. Let k = 27 - 22. Let a be h(k). Solve g = -0*g - a for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of -9*v**4 + 145*v**3\/6 + 4*v. Find the second derivative of f(u) wrt u.\nAnswer: -216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/(-3))\/((-22)\/12). Let f = -268.08 - -263.08. What is the third smallest value in -2, f, 5\/3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from {d: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*(-6)\/(-36) + -1 + -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23703 - 23703 + 4391*k)*(3 - 4 - 1)*(1 - 3*k + k - 2).\nAnswer: 17564*k**2 + 8782*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101709316 is divided by 19943?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -279*n + 241. Let q be g(-39). Suppose -9*b = -q + 619. Is 60 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-1*sqrt(44)\/((-4*sqrt(24)\/sqrt(6) - sqrt(4)) + sqrt(4)) + -1)*3)**2*5.\nAnswer: -135*sqrt(11) + 3645\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 67?\nAnswer: -1\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1090905578*y**3 - 79208*y - 5771?\nAnswer: -6545433468*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, -2, -2\/3, -26.4, 0.5?\nAnswer: -26.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25053443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 + -485.5.\nAnswer: -485.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 3*q + 15 = 108, -3*s - 13*q - 295 = 0 for s.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = -d - 10, 2*h + 2*d - 2 = 14 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 149534?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5 + 318100\/(-44) - (-6)\/11. Is j > -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -1\/3, -29.8, -3\/5, -15, -0.3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/28)\/3 - 754\/(-1218).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 AM and 7:10 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.935 greater than -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 5*u + 31 = 41, -z = -2*u - 1. Solve 2*p = -2*d + 10, p - 25 = 2*p - z*d for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of -a**5\/60 - a**3\/6 + a**2. Let q(z) = -2*z. Suppose -32 = -2*y - 34. Determine y*q(r) + m(r).\nAnswer: -r**2 + 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h - 4 + 4)*(3 - 2 - 3)*(4 - 2 + 0)*(0*h - 4*h + 2*h).\nAnswer: -24*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(91)*-2 + sqrt(91)))\/(sqrt(49)\/sqrt(28)).\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 371371278 to the nearest 1000000.\nAnswer: 371000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.917 * -0.06.\nAnswer: -0.29502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = p - 3*u, 4*p + 2*u = 5*p - 6. What is the least common multiple of (10\/(-2))\/p*-10 and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.84 + 0.16. Sort 3, -2, q.\nAnswer: -2, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qnqywlnqyqn. What is prob of picking 3 n?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (78\/91)\/((-2)\/(-14)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/1593 and -97\/3186.\nAnswer: 3186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7 - -6)\/((-1)\/(-3)). Let p = g + 10. Calculate the greatest common factor of 42 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 12. Suppose 0 = 4*a - 2*f + t, 5*a = 2*f - 0*f - 5. Let z(o) = -227*o**2 + 225*o**2 - 6 + 3 + 4. Calculate z(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1754*x**3 - 1749*x**3 + 3501*x**3.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/8*(-4)\/9. Let m be 40\/(-12)*(-2)\/5. Let f = -0.9 + 0.8. What is the nearest to l in 0.4, f, m?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -5*u + 1777, -5*v = -4*u + 817 + 602. Suppose 352 = 3*f - x, -2*f - 4*x = 98 - u. Is 11 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 3*p = -2*i - 27, 2*p - 6 = -4*i. Suppose -i*z = z. Let u = -10 - -6. Sort u, 3, z in ascending order.\nAnswer: u, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32001 divided by 4?\nAnswer: -32001\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 8797741?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 128453795 to the power of 1\/2, to the nearest integer?\nAnswer: 11334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 119, 1142182 in decreasing order.\nAnswer: 1142182, 119, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = 15*w - 20, 24 = 4*f + 27*w - 23*w for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15180 by 7590.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yaaadjda. What is prob of sequence aayj?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13*6\/156 - (-29 - 3795\/(-46)).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + -10. Let p(y) = -4*y**2 - y**2 + 4*y**2 - 8*y - 7 + r. Is p(-5) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/(-14))\/(340\/56 + -6). Let s = 2 + -3. Which is the nearest to s? (a) -1 (b) o (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1159514394 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3507 = -762*h + 2394 + 2481 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/25 + 1\/5. Let m = 29 + -26. What is the nearest to 1 in 4, i, m?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 6*d - 1111*r = -1113*r - 40, 3*d = -r - 0*r - 28 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 - -18. Let w(m) = -m**3 + 8*m**2 - 5*m - 10. Determine w(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a kilogram in grams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*b - 82 = -17 + 223 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1475*i**2 - 321*i**3 + 1476*i**2 - 1 - 1 wrt i?\nAnswer: -1926","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 81227304?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9382016 and 1456?\nAnswer: 121966208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -332, -665, -984, -1283, -1556, -1797?\nAnswer: -2000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from {u: 3, x: 7}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 3*l**2. Let d(i) be the second derivative of i**3\/3 + 4*i. Determine d(k(a)).\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 66 - 3074 = -4*c, -5*c + 2*l + 3760 = 0. Is c a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/73203 and -53\/3.\nAnswer: 73203","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -6, -8, -2, 1, 22 in descending order.\nAnswer: 22, 1, -1, -2, -6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 16, 16, 10, -2, -20, -44?\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3823, -3722, -3443, -2896, -1991, -638?\nAnswer: 1253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1305 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, y: 5, w: 2, j: 1, s: 3}. Give prob of sequence yj.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -176\/365 + 6\/73. Let d = -35.89 + 32. Let z = d + -0.11. What is the nearest to i in z, -0.4, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**3 + 2*w**3 - 3*w**3 - 4 - 2*w**3 + 4 + (w**2 - 2 + 2)*(-3*w + 3*w - w).\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 50102 - -20553?\nAnswer: 100655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -54691 and 0.079.\nAnswer: -4320.589","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (23 + -1)) + (120 - 229 - -107)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -12, -3.\nAnswer: -12, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -75 + 112. Let c = t + -21. Let r = c - 10. Solve -3*w + r = -5*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c + 56. What is the least common multiple of 186 and v(-2)?\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 266438758*f**2 + 1795505*f - 17 wrt f.\nAnswer: 532877516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 0*m + 2*m)*(-22 - 2 + 1) - 2*m - 2 + 3 - 2.\nAnswer: -25*m - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 5*l = -48, 2*y + 0*y - 57 = 5*l. Suppose -2*v - 3*s + 15 - 6 = 0, -2*v + 6 = 2*s. Solve 5*q - y - 4 = v for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 469156, 938287, 1407416, 1876543, 2345668?\nAnswer: 2814791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -7*g - 152. What is the remainder when 104 is divided by p(-30)?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2797.\nAnswer: 2797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + -31?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2307.\nAnswer: 3, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**2\/2 + 89490*v + 5911785\/2.\nAnswer: -5*(v - 35829)*(v + 33)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 + 10*m**2 - 21*m - 1. Let y be s(4). Suppose 0 = f - p - y, -8 = 5*f + 5*p - 23. Solve -4*z - 12 = 3*x, f = 3*x + z + 19 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -38 - -38. Let v(p) = -2*p - 11. Let j(y) = -3*y - 21. Let i(f) = -4*j(f) + 7*v(f). Let b be i(x). Solve -q - 2 = -b for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/7 of a week in hours?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o - 1. Let h be n(6). Let p = h + -2. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0008363782 rounded to 5 decimal places?\nAnswer: 0.00084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 - 8*b**2 - 6*b + 7. Let u be t(-7). Suppose -2*a + 18 = -u*a. Solve 2*y + y + a = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 9:10 AM?\nAnswer: 3:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002546784852 to four dps.\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11421563 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/(-6) + ((-680)\/425 - (-11062)\/4020) and 29\/50.\nAnswer: 3350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*(r*r**0*r)\/r*r)**(8\/3)*(r*((r*r**(-10\/7))\/r)\/r)\/r**(-8))**29 assuming r is positive.\nAnswer: r**(2958\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 139, 133, 127, 121, 115, 109?\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 15 = 0, 5*h + 9*w = 7*w + 25. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 550 = 7*o. Let n = o - -309. Is n a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/3*a**2 + 1\/3*a**4 - 2\/3*a + 2\/3*a**3 + 0 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -22*n**2 + 5*n - 9. Let w be f(2). Let c = 90 + w. Solve 3*r - c*t = -2*r - 9, -4*r - 5*t + 15 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/((-900)\/44) - (-2)\/15. Let u(i) = 2*i**2 + 5*i - 4. Let v be u(-4). Suppose 1 - v = -3*h - 5*o, -2*h + 3*o - 8 = 0. Is h smaller than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/1892 and 23\/1430.\nAnswer: 122980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of -b**4\/12 + 15*b**3\/2 - 254*b**2. Let k = 17 - -8. Let y be s(k). Which is smaller: -32\/9 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -5642*l + 101556. What is n(18)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -65*w**3*z**2 + 225*w**3 + 2*w**2 + 17*w - 263*z**2 wrt z?\nAnswer: -130*w**3*z - 526*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, h: 2, s: 1, n: 3}. What is prob of sequence na?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(6\/(-4)*(-24)\/(-18))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 8. Let j = 154 + -90. Let m = j - 68. Which is the biggest value? (a) m (b) 1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33\/(14*48\/224)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1 (b) 0.05 (c) 5 (d) -0.1 (e) -1.08 (f) -732\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 230 + -1613\/7. Suppose -3 + 2 = -w. Let v be w + -1 - 6\/(-15). Which is the closest to 0.1? (a) 0.2 (b) v (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, 0.1, 1, 53?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -34*f**2 + 47*f + 46. What is i(-1)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) 1 (b) 5 (c) -2.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*h = 30*h - 297. What is the highest common divisor of 66 and h?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/4*3256\/37)\/(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 241 + (-2 - (-2 - -6)). Suppose -l + 1770 = 5*x. What is the hundreds digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -4*f**3 - 2*f**2 + 9*f - 3*f + 3*f**3 - 2*f**2 - 3. Suppose 200*m - 197*m + 15 = 0. What is l(m)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3*h**3 + 75*h**2 - 76*h + 61. Determine d(-26).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 - 24*p**2 + 120*p - 7. Calculate f(15).\nAnswer: -232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -26*n + n + 0*n - 1 - 2. Let d(x) = -3*x + 1. Let q be d(2). Is r(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 - 14*d**2 + d + 26. Determine r(-13).\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12432 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 862559, 862564, 862569, 862574, 862579, 862584?\n\"Answer: 5*j + 862554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -9, -0.14, -0.5, 0.3 in increasing order.\nAnswer: -9, -2, -0.5, -0.14, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17292422 to the nearest integer?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 8676779 to the power of 1\/4, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 64 + 178. Suppose 0 = -4*z + g - 26. Calculate the greatest common divisor of 6 and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 times -0.4\nAnswer: 0.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j**2 + 6*j + 11. Is l(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*m + 2*m. Let h = 14 + 41. Suppose 5*t - h = -m*t. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 2*t - 12. Let l be t\/(-9) + 6\/27. Let x = 0.01 - -2.99. What is the second smallest value in l, -0.3, x?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 + 3*n**2 - 4*n - 3. Let z be j(4). Let q = -19 - z. What are the prime factors of 0 + q - (-3 + 1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 9 - 1 = 0. Suppose -8 = -u*v + 10. Suppose -v = -3*d + 6. Solve 5 = 4*m - d*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 2*i - 95 = 0, -3*l + 24 + 64 = 5*i. Calculate the highest common factor of l and 84.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (-1 - (2 + -5)) + -162 + 156 + 48.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2725153881 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1473249 is divided by 46?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/((-4 - 2)\/(-30)). Calculate the remainder when 219\/(l\/(3 - 8)) is divided by 42.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 12:09 AM?\nAnswer: 12:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -y + 4*z + 18, -y = -z - 1. Let i be 1*(0 + (y - 0)). Sort -5, 0, i in decreasing order.\nAnswer: 0, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in sixty-one halves of a year?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 34.26721 meters?\nAnswer: 0.03426721","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*w + 31*w - 72 = 0. Let m be 1\/(0 + (w\/54 - 0)). Let s(l) = l**2 - 11*l + 18. Give s(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 10021 = -16*h. Let f(j) = j**3 + 24*j**2 + 31. Let v be f(-21). Let k = v + h. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4828 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3277 minus 3166945339?\nAnswer: -3166942062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5.7, -0.03, -5048?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from cwscsocoowocc?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/10, 14, 240, -5 in increasing order.\nAnswer: -5, -1\/10, 14, 240","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 74 + -70. Suppose 0*o + o = -4*b + 9, 0 = 3*o - l*b - 27. Find the first derivative of o + 24*t - 21*t + 6 + 30 wrt t.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 4*k - 16 + 4, -3*a - 3*k - 27 = 0. Calculate the common denominator of (-132)\/(-14)*4\/a and (2\/(-8))\/((-2)\/(-158)).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -316603 (base 10) to base 7.\nAnswer: -2456020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -107 + 113. Solve 2 + z = -4*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + k - 9 = 0. Suppose 0 = 2*t + 2*t - 4*r - 24, 2*t - 7 = -k*r. Let v = 77.661 - 78.161. Which is the biggest value? (a) -4 (b) t (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43 (base 9) to base 4\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 261499\/14982 + 5\/14982. Let d(b) = 18*b**2 + b. Let n be d(-1). Which is greater: n or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -14*a - 46. Let r be q(-14). Let m = 629 - r. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*-12 + 20*(-483)\/(-840). Let m be 4 - 3 - (0 - -2). What is the nearest to m in -2, s, 2\/21, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**4 - 3*m**4 + m**4)*(-2 + 2 + 2 + (-3 + 2 + 2)*(-3 + 2 + 2)).\nAnswer: -6*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 12, 25, 52, 99, 172, 277, 420, 607?\n\"Answer: m**3 + m**2 + 3*m + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 4*j - 13. Let q(m) = -5*m + 14. Let c(g) = -6*n(g) - 5*q(g). Let f be c(-5). Suppose s + f*s - 16 = 0. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 2 c when four letters picked without replacement from hculhucuuuu?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1922088 + -3402912. What is u rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6351)\/(-949))\/(51\/221).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1\/98 - 377\/98. Find the common denominator of -43\/5 and j.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of -11\/2*g**2 - 39\/4*g**4 + 47 - 2\/3*g**3 + 0*g. What is the second derivative of i(b) wrt b?\nAnswer: -234*b - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 f when two letters picked without replacement from {z: 1, n: 1, d: 1, v: 1, f: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 300 + -222. Let b = 10192135.99993 - 10192058. Let g = f - b. What is g rounded to six decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 957\/(-30) - (-132)\/(-1320).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 PM and 4:55 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d - 3336 + 562763 = 0. Is d a multiple of 349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**4\/4 - 21*v**3\/2 + 139*v**2\/4 + 45*v.\nAnswer: -v*(v - 4)*(v + 1)*(v + 45)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 3*k - 12. Let d be h(10). Suppose 4 = 2*w - d. Suppose -i - 155 = -6*i. Calculate the remainder when i is divided by w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*q - 27355 + 8707 = 0. What is the greatest common factor of 777 and q?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -22 - (5 + -4 - 1). Let l be 6 + -4 - c\/2. Suppose -l*z + 24 = -2. Solve -4*m = 6 + z for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 11*f - 34. Let x be y(3). Let q(m) = -m + 2. Give q(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-345)\/(-18) + (-1)\/6. Let i = s - 9. What is the units digit of (-12)\/(-30) + 646\/i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*i + 4*i = 4966. Let m = 193 - i. Let -1\/3*c**m - 16\/3 - 8\/3*c = 0. Calculate c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 10:39 PM?\nAnswer: 9:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 210 = -0*v. Suppose 3*c + 116 = -c. Let f = v + c. Solve m + f = -2*a, 3*a + 9 = -2*m - 13 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -82.961067 to zero decimal places.\nAnswer: -83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*l**2 - 13*l**2 + 6*l**2)*(2 - l - 2) + 48*l + 2*l**3 - 3*l**3 - 27*l.\nAnswer: 18*l**3 + 21*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 13) to base 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-296)\/111 + (-70)\/(-15). Solve 5*z + 3*j - 3 = 0, 0*z - w*z + 3*j = 3 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*i - 12 + 14*i - 4*i.\nAnswer: 2*i - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 3276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2291605 is divided by 415.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -413 = -g + 6*d - 2*d, -410 = -g + 3*d. What is the tens digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t - 170 = -q + 454, -5*t - 5*q + 425 = 0. What is the greatest common factor of t and 352?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 599 (base 16) to base 12\nAnswer: 9b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of -1\/15*h**5 + 0*h + 0 - h**3 + 0*h**4 + 6*h**2. Find the first derivative of t(j) wrt j.\nAnswer: -8*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.3 - 0.2. Suppose -2 + 6 = -4*j. What is the nearest to -0.2 in -5, a, j?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 + 99*z**2 - 77*z + 2332. Let d be l(-100). Let y(w) be the first derivative of -6\/7*w - d + 1\/21*w**3 - 5\/14*w**2. Solve y(s) = 0 for s.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -43, 4, 4\/5, 0.01, 84\/11?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j**2 + 3*j**2 + 8*j**2 + (j - 3*j + 0*j)*(4*j - 4*j - j) to the form r + x*j + t*j**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m**2 + 2*m + 1. Let k be p(-1). What is the tens digit of (k\/1)\/(35\/1505)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 + r + 6. Let b = -24 + 24. Let j be s(b). What are the prime factors of (-664)\/j*(-12)\/8?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g**3 + 5*g**2 - 7*g + 10. Let c be l(2). Find m such that 0*m**2 + 1\/3*m**4 + 0 + c*m + 2\/3*m**3 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-6) + (-2020)\/24. Let r = 18 - k. Suppose 1434 = 46*l - 130. Calculate the greatest common factor of l and r.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -51210, -51207, -51204?\n\"Answer: 3*h - 51213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.80586 - 689497?\nAnswer: -689503.80586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -533 - 38*k**3 + 3*k**3 - 174*k**3 + 528 in the form c*k + o*k**3 + w + n*k**2 and give o.\nAnswer: -209","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5100535 - 0?\nAnswer: 5100535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -75.109 + 0.109. Let t = f + 75.728. Let w = -0.73287 + t. What is w rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 27, 1, -35, -87, -161?\n\"Answer: -x**3 + x**2 - 22*x + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 - -2. Suppose -3*w + 6*w - k = 0. Suppose -5*a + 16 = -s, -2*s + 4 = -a - 0. Calculate the greatest common factor of w and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 412488 and 192.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.9422 to one dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o + 10. Let y be l(-6). Suppose -q + 1 = -y. Solve q = -0*s - s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 - 9*b + 18. Let q be k(-9). What is the second derivative of 13*l**3 - 22*l - q*l + 46*l wrt l?\nAnswer: 78*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -5, 1, -1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g + 8. Let o(n) = -2*n + 17. Let z be o(7). Let r be q(z). Suppose 0 = 2*f - r*d - 12, 5*d = -3*f + d - 5. Solve 3*p - 5 = f for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1912 (base 10) to base 6.\nAnswer: -12504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1626290527 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 15\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j = 15*j - 75. Suppose -1347 = -j*v + 5*d - 2*d, d - 453 = -v. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (65\/10)\/(-13)*1260\/(-105)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 936 <= 3\/1034?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 1\/3*n + 1\/3*n**3 - 1\/3*n**2 + 1\/3*n**4.\nAnswer: n*(n - 1)*(n + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*v + 571 + 69 = 0. Let c = -4201\/7 - -598. Calculate the common denominator of c and ((-19)\/2)\/(3\/((-72)\/v)).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -3*q + 14. Let a be m(4). Let k be (-34)\/1 + (a - -2). Let w = 60 + k. What is the smallest common multiple of 12 and w?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llfjlfljlllfggjlj. Give prob of picking 1 l and 1 f.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 0 - 10. Suppose -b = -4*b + f + 3, -2*f = 2*b - 10. Suppose -b*l + l = -5. Solve -y + l*s - 2*s + 12 = 0, -u*s = -5*y + 21 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2961?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p - 2 + 2)*((p**3 - 4*p**3 + p**3)*(-5*p + p - 3*p) + p**4 - p**2 + p**2).\nAnswer: -30*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 10*t + 20. Calculate p(-6).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 + 4*b + 7. Let y be k(5). Let f = -2 + y. Solve 3 = -f*m - m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.4 - 39.2. Let u = -44 - h. Sort u, -0.1, 9.\nAnswer: u, -0.1, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 1\/2 (b) 16\/13 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xaxy when four letters picked without replacement from ayaxayxayyyayxa.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -5*p - 54, -47 = 4*p + i + 2*i. Let r be p\/(-1) - 2 - -2. Suppose 90 = 4*h + 3*k, -k + 0*k + 2 = 0. Solve -l - r = m + 2*l, m + h = -5*l for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56828.\nAnswer: 2, 14207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 6\/25 of a millennium?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 5*a**5 - 25*a**4 - 110*a**3 + 670*a**2 - 375*a - 1125 = 0?\nAnswer: -5, -1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p**2 - 3*p**2 - 783*p - 68 + 783*p to the form w*p**2 + l + z*p and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14790420*q - 32524591 with respect to q.\nAnswer: -14790420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s - s - 4*s + 5*s. Let u be (-25)\/(-10)*4\/5. Let f(r) = 29*r**u - 8*r**2 - 15*r**2. Give l(f(w)).\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 1 - a + 11 + 1 - 1. Let t be w(10). Suppose 4*p = t + 22. Solve p*u + 6 = 3*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 - 4*b + 1. Let c be o(-3). Suppose -6 = -s - c. Solve j + 5 = s*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n + 12. Let g(o) = -o**3 + 7*o**2 - 9. Let b be g(7). Let m be y(b). Let k = 1 - -3. Solve -m*w = -k*w - 2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -3*m - m**2 - 2*m + 3 - m. Let n be s(-6). Suppose -i = -0*d - d - 14, 4*d = n*i - 41. Solve i = v + 4*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p - 6*p + 5*p - 403645 + 403645.\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*h + 185798 + 18302 = 31268. Calculate the greatest common divisor of 4 and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.034429248 take away 0.258?\nAnswer: -0.292429248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4498642 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 11*c**2 - 5*c - 1. List the prime factors of n(4).\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 510 and 2176?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0021799 to five decimal places.\nAnswer: -0.00218","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of -q**3\/2 + 39*q**2\/2 - 33*q + 4. Let z = 36 - 24. Let c be k(z). Solve -c*l - 3 = -18 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 4*r = 8, -1782*g + 3*r - 13 = -1778*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b**2 + 21*b + 6. Calculate the remainder when h(-15) is divided by 48.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -5, -279, -3, -7, 5 in descending order.\nAnswer: 5, -3, -5, -7, -12, -279","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of d**6\/60 - d**5\/20 + d**4\/6 - 5*d**3\/6 - 2*d**2 + 63. Let u = 7 - 4. What is the units digit of v(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 35*s**2 + 14*s - 19*s**2 - 17*s**2 wrt s.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 326 is divided by 62?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -40750, -40864, -41064, -41356, -41746, -42240?\n\"Answer: -u**3 - 37*u**2 + 4*u - 40716","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -x - 76 + 80 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2412498524?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(700) + -2 + sqrt(700)*-2)*-5)**2.\nAnswer: 1000*sqrt(7) + 17600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1533\/13797)\/(46\/(-36))?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4 + 0)*(-5)\/30. Which is bigger: c or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 4 = -28. Let a(g) be the first derivative of g**4\/4 + 6*g**3 + 11*g**2\/2 - 7*g + 2. Is a(s) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 205317 and 1512.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.5, -1\/3, -802.192, 13, 0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 3*a = -3*m - 22, -3*a = 3*m - 63. Suppose 7*x = a*x + 40. Let q(j) = j + 1. Let o be q(1). Sort x, 3, -1, o in decreasing order.\nAnswer: 3, o, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from crcccccr?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -90044, 3, 17, 1, 4 in descending order.\nAnswer: 17, 4, 3, 1, -90044","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31462 is divided by 213.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 7*f**2. Suppose -l - l = 0. Suppose 5*d + 9 + 9 = -p, 5*d = p - 22. Let x(s) = l*s**2 - 4*s**2 - s**p + 4*s**2. Calculate m(x(k)).\nAnswer: 7*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = 3*d - 36, 5*c + 37*d - 35*d = 11 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 15 = -m, 0 = -2*q - 4*m + 20. What is the derivative of -2*z**q - 5 - 2*z**4 + 0*z**3 + 0*z**3 wrt z?\nAnswer: -16*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 536\/3653 + 2\/281. Let o be 3337\/3479 - (-2)\/49. Sort -0.3, r, 6, o in descending order.\nAnswer: 6, o, r, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, v: 1, z: 2, f: 6, i: 3, q: 2}. What is prob of picking 1 a and 1 f?\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 + 13*b**2 - 11*b - 12. Let l be i(12). Which is bigger: -2 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -60*h - 261. Determine j(-12).\nAnswer: 459","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*(i*i**(-1\/12)\/i*i)\/i*i*i\/((i**(-1\/13)*i)\/i)*(i**(2\/17)*i)\/(i**(-19)*i) assuming i is positive.\nAnswer: i**(58639\/2652)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 31*j**2 - 37*j + 3. Let c be f(-5). Let x = -439 + c. Suppose 5*n - n - x = 0. List the prime factors of n.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5211 - -7563. What is the greatest common divisor of 96 and g?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0*1\/4)\/(-2). Let n(v) = v + 4. Let q be n(j). Solve -l + 1 = -5*r - 14, q*l - 18 = -r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 10:07 AM?\nAnswer: 9:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -8 - -1 - (-4 + 5). Let s(g) = 8 - g**2 + 3 + 9*g + 2*g**2 - 2. Determine s(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 9589*x + 5231. Is s(30) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1101 - -1127. Solve -14 = -12*j + q*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/8 + 38\/8. Find the first derivative of 2*o - s + 1 + 2 + 1 wrt o.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - -96?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of 51*r**5\/20 + r**4\/12 + 29*r**3\/6 - 29*r. What is the third derivative of v(t) wrt t?\nAnswer: 306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -b87527 (base 12) in base 11?\nAnswer: -1711827","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5e9 (base 15) to base 6.\nAnswer: 10120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -56.5 + 56. What is the third smallest value in 2, 1, l?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.1828 millilitres in litres?\nAnswer: 0.0421828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -6 - (1 - 10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*o - 90 = 55 - 55 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-33)\/(-15) - 2\/10. Let q be (-5 + 10)\/(-1 + 2). Solve -5*c + 7 = r*o - 9, -q*c = -5*o + 5 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3953073 and 30.\nAnswer: 39530730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -4*b - 356, 5*t + 190 = -6*b + 4*b. Sort b, 2\/9, 2\/11 in decreasing order.\nAnswer: 2\/9, 2\/11, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 4*h**2. Suppose -111 - 7 = -59*v. Let b(m) = -5 - 24*m + 2 + v + 1. Give b(c(d)).\nAnswer: -96*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2 (b) -3\/4 (c) 1 (d) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 143 and 8113677.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -6*c. Let a(p) be the first derivative of -1\/12*p**4 + 0*p**3 + 0*p - 10 - 3*p**2. Let h(s) be the second derivative of a(s). What is h(g(r))?\nAnswer: 12*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1553 is divided by 57?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 11*v**2 + 4*v - 2. Let r(c) = 6*c**2 + 2*c - 1. Let o(i) = 3*j(i) - 5*r(i). Let p = 86 + -85. Let t(q) = q**2 + q - 1. Determine p*t(x) - o(x).\nAnswer: -2*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 44 = -3*k. Let g = 9 - k. Let x(q) = -q + 2. Let r be x(g). Solve 4*v - 10 = -2*t, r*v + 4*t = 2*v + 20 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32869 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 1. Let y = 431955\/51931 - -3\/9442. Let o = y - 17\/2. Which is the closest to o? (a) u (b) -3 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19550 = -2*i - 3*h, 2*h + 12 = 5*h. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 x when three letters picked without replacement from xxgxygxxy?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2.004599 - -0.15\nAnswer: 2.154599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 PM and 4:17 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69053*c**2 - 46*c**3 - 69053*c**2 + 24*c**3.\nAnswer: -22*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -62 + 60. Is ((-261)\/(-6) - x) + 3\/6 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-10))\/((-2)\/(-4) + 0)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b. Suppose -4*j = 4*c - 8, 36*j - 20 = 41*j. Let h(z) = z. What is c*h(x) - 7*m(x)?\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 396395 to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*z**5 - 103*z - 48*z + 45*z wrt z.\nAnswer: -180*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26009913 to the nearest integer?\nAnswer: 5100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + (4 - -4) - (29 + -6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.00841340125 + 183.80841236225. Let h = r - 182.8. Round h to seven decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00105372 to 4 dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = r - 0*r - 2*l - 17, 0 = -376*l + 378*l for r.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -224*c - 4090*c - 1711*c + 5. Let k be z(3). Let i = k + 325121\/18. Calculate the common denominator of 17\/10 and i.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.199 rounded to one dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-1*sqrt(85)*-5 + sqrt(85)))\/(4*(-3*sqrt(5) - sqrt(5))*-2)*-2.\nAnswer: -9*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 75*a - 838 - 512 for a.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -47180457 less than 0.07753?\nAnswer: 47180457.07753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59 is divided by 46.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + -2160?\nAnswer: -2160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1036153 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/19720535 and 47\/7888214?\nAnswer: 39441070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 2 (c) 4 (d) 1\/4 (e) -0.002 (f) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2456*l**2 + 7 - 25 + 2458*l**2. What is the units digit of i(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1277 = 358*t - 1587 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of 2*a**5\/15 + 30*a**4 + 1800*a**3 - 2846. Factor r(u).\nAnswer: 2*u**2*(u + 90)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of -u**3\/12 + 3*u**2\/8 - u\/2 + 5. Factor s(d).\nAnswer: -(d - 2)*(d - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32617?\nAnswer: 13, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do 972 and 12645\/13 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/11 in -158, -0.03, 3\/5, -0.2?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -87450 divided by -5830?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-42)\/(-9) + (-23)\/(-69). Suppose 0 = o + 2*a - 6 - 9, a + 10 = 3*o. Suppose n - o = -3. Solve 0 = -0*p + p - n, q*x = -4*p + 3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39649, 39694, 39777, 39904, 40081, 40314, 40609?\nAnswer: 40972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/4, 1\/25, -39\/10, -5?\nAnswer: -39\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15319370 to the power of 1\/2, to the nearest integer?\nAnswer: 3914","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -26*y**2 - 626*y + 7. What is r(-24)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 694239945 and 4515.\nAnswer: 4515","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12498482 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 5*k + 34200, 0 = -5*i + 6*i + 5*k - 6820. List the prime factors of i.\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 4*b - 4884, -r + b = r + 3256. Let u be (-2)\/(-9) + r\/36. Let o be 6\/45 - 219\/u. Solve 0*v - v = o for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 71, -564, -1199, -1834, -2469, -3104?\nAnswer: -3739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m + 1. Let v(w) = 376*w**2. Calculate c(v(n)).\nAnswer: 376*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (16 - 12) + -2 + 1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2726a (base 11) to base 16\nAnswer: 9805","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/220 and -5\/286.\nAnswer: 2860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 398 (base 12) to base 2\nAnswer: 1000100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 130 = 136. Let u(q) = -q**2 - 6*q - 6. Let j be u(-5). Put 5, j, o in ascending order.\nAnswer: o, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 20, 39, 58, 77?\n\"Answer: 19*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 7*t**2 + 10. Let i(j) = 21*j. What is i(v(n))?\nAnswer: 147*n**2 + 210","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -1\/678677?\nAnswer: -1\/678677","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c - 3 + 3)*(4*c + 0*c - 2*c) - 49*c**2 - 135*c**2 + 316*c**2.\nAnswer: 128*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 7:48 AM?\nAnswer: 8:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 0*b = 4. Let h be (-5)\/2*-2*b. Let v(c) = 2 + 2*c - h*c - c**2 - 4. Determine v(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 6*k**2 - 8*k + 7. Let d(r) = -r**2 + r. Let v(z) = -d(z) - w(z). Let h(p) = -p**2 + p - 1. Let l be (0 - 2)\/(3 + -4). What is l*v(s) - 14*h(s)?\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1395659?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -366*y - 72. Let u be p(-19). What is the greatest common divisor of 186 and u?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100001110001001000011 (base 2) to base 3\nAnswer: -2002012211110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = -5*q - 10, 5*q + 20 = 9*p + 14 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/5, 1, -1, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4484005?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1838619 is divided by 5893?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-9)*-1)\/(70\/21).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -15 and 1.4.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 7, -1, -1\/8, 77?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1217982 or 1217981?\nAnswer: 1217981","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18475 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 36 = -11*n. What is p in -1\/2*p**n - 3\/2*p**2 + 0 - p = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/(-9))\/(((-84)\/(-9))\/(-14))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31078, -62147, -93216, -124285, -155354, -186423?\nAnswer: -217492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 19\/((-37)\/(-1221)*-11*(-9)\/(-3))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**2 - 4329*u.\nAnswer: -3*u*(u + 1443)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 3*x = -5142, -1246 - 5164 = -5*d + 5*x. Calculate the greatest common divisor of d and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 - 8*i + 7. Let z be p(6). Let w(q) = -12*q + 1. List the prime factors of w(z).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of 185197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 + 15*m + 284. Let k be g(-11). Let c(q) = 9*q**2 + 2*q. Let y(p) = -10*p**2 - 3*p. Give k*y(x) - 3*c(x).\nAnswer: -7*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/50 of a kilometer?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.06 + 7.94. Let q = 13 - s. Let x be (6\/330)\/(42\/(-882)) - (-1)\/5. Which is the closest to x? (a) q (b) 2\/7 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1148 - 443. Let f = q + -705.0423. What is f rounded to three dps?\nAnswer: -0.042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-5\/2)*w*w\/(w*w**(3\/7)*w*w*w)*w*w)\/((w**(-6\/7)*w)\/(w\/((((w*w**(-6))\/w)\/w)\/w))))**(-1\/56) assuming w is positive.\nAnswer: w**(-83\/784)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80481112.\nAnswer: 2, 19, 601, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Is 2797437523 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23.64 - 0.36. Let k = p + 21. Let s = 10 - 9.5. Which is the second biggest value? (a) 0 (b) k (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1))**(-10\/11)\/(((h\/(h\/h**0))\/h)\/(h**(-2\/9)\/h*h)))\/(((h**(-6)\/h*h)\/h**(2\/7))\/(h**2\/(h\/(h*(h**1\/h)\/h*h)*h*h))) assuming h is positive.\nAnswer: h**(5525\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 71291 divided by 32?\nAnswer: 71291\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 12) to base 10\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i**2 - i - 4. Suppose -2*m + 11 = -1. Suppose 0 = -2*f - f + m. What is the units digit of o(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 255, 263, 277, 297, 323?\n\"Answer: 3*s**2 - s + 253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 3 + 4*q - 3. Let g(i) = 7*i + 290. Let o(v) = -2*v - 87. Let y(s) = -3*g(s) - 10*o(s). What is z(y(j))?\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 6 = -4*h, -4*v - 19 = 3*h - 2. Let i(o) = -78*o. Let q be i(0). Sort q, -2, h in decreasing order.\nAnswer: q, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxpxxxpexpxexxxpxxpx. Give prob of picking 1 e, 1 p, and 1 x.\nAnswer: 13\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -5 (b) -3 (c) 0 (d) 254\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, -12, 5.\nAnswer: -12, 1\/8, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26 + -21. Let a be (0 - s)*(-4)\/(-170). What is the third smallest value in -4\/5, -6\/5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n. Let i = 398 - 399. Let g(s) = s**2 + s. Give i*j(t) - g(t).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 177, 180, 193, 222, 273, 352?\n\"Answer: v**3 - v**2 - v + 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(4\/5))\/n)\/n**(7\/4)*(n\/((n\/n**(-5))\/n)*n)\/n**(-4\/3) assuming n is positive.\nAnswer: n**(-157\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 4*p**3 + 6*p**2 - 16*p - 13. Let t(j) = -j**2 + 2. Determine -5*t(u) - z(u).\nAnswer: -4*u**3 - u**2 + 16*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -5*h**4 + 2*h**3 + 7*h**2 + 8*h + 4. Let j(z) = -9*z**4 + 4*z**3 + 14*z**2 + 15*z + 7. Let s(n) = -8*j(n) + 14*t(n). Factor s(g).\nAnswer: 2*g*(g - 4)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/13, -0.5, -4, -1.12, 1\/4, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 8) in base 5?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/6208047 and 59\/12.\nAnswer: 24832188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 645 take away 146456.6?\nAnswer: -145811.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143*t + 154691 - 152975 = 0 for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2*p**2 - 6*p - 3. Let o(n) = 3*n**2 + 11*n + 5. Suppose 8*h - 45 = 17*h. What is h*u(k) - 3*o(k)?\nAnswer: k**2 - 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 AM and 5:51 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 897792*f**5 - f**3*y + 3*f - 120178*y wrt f?\nAnswer: 17955840*f**3 - 6*f*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1121213 (base 4) to base 5\nAnswer: -140420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/3)*w*w)**(9\/7)\/((w*w*w**(-1\/37)*w)\/w*w**(-2\/39)\/w) assuming w is positive.\nAnswer: w**(25322\/10101)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 - i**2 + 11*i + 3*i**2 - 11*i + (i - 6*i + 3*i)*(-3*i + 2*i - i) - 3*i + 3*i + i**2 - 99*i**2 - 6228*i + 6228*i.\nAnswer: -92*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(5) + 0)*1 + -3 + ((sqrt(20)\/sqrt(4))**2 - sqrt(5)) + sqrt(5).\nAnswer: 1 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -97 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.86, -2\/7, 1\/4, -3 in decreasing order.\nAnswer: 1\/4, -2\/7, -0.86, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 < 150?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of -158*k - 5\/27*k**4 + 22\/9*k**2 - 13\/27*k**3 + 0 + 1\/90*k**5. Determine h so that m(h) = 0.\nAnswer: -2, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d**2 + 114*d + 1718. Let z(l) = l**2 - 120*l - 1720. Let g(p) = 4*w(p) + 5*z(p). Factor g(n).\nAnswer: -3*(n + 24)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13356 and 51793084.\nAnswer: 466137756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 5*o - 7 = 0. Let u(c) = c**2 + 9*c + 15. Let v be u(o). Let n be v - -2 - 2\/2. Solve n*z + 3*z + 20 = 5*l, -3*z = -2*l + 8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-n + 3*n - n)*(-545*n + 29 - 29)*(-n**2 + 6*n**2 - 3*n**2) in the form t*n**4 + d*n**2 + g + f*n**3 + a*n and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -520c (base 14) to base 10\nAnswer: -14124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000344113 rounded to 6 decimal places?\nAnswer: -0.000344","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of k**4\/4 - k**3\/3 - k**2\/2 - 2*k + 11. What is l(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1396 divided by -4.\nAnswer: 349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79 = -o - 4*g, -17*g - 515 = -3*o - 858 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -107? (a) 0 (b) 1\/5 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -1276*j**2 - 4693952*j + 853488 = 0?\nAnswer: -106686\/29, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2414 - -11818. What are the prime factors of c?\nAnswer: 2, 3, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-5)*(-20)\/(-72). Which is smaller: d or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1 + -4.9. Let u = -0.253 + 5.253. Sort u, y, 1 in ascending order.\nAnswer: y, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-44)*22\/(-11)*-33)\/(1\/1)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: -575 (base 16) to base 8\nAnswer: -2565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -9*k + 251*k**2 + 4*k - 6*k + 6*k + 6. Is 18 a factor of d(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -12*r + 341*r**4 - 116*r**4 + 12*r**2 + r**3 - 113*r**4 + 2*r**3 - 115*r**4 = 0. Calculate r.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1938 divided by 1\nAnswer: -1938","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 25811139 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u + 381*c - 1 - 4 = -5*u + 378*c, -c = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 1 = -0, 19 = 4*n + 5*d. Let v be -2 + 2 + (-3 - n)\/(-3). Find f, given that -60*f - 24 + 26*f**2 - 7*f**v - 3*f**4 - 14*f**3 - 6*f**2 - 74*f**2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*i*l**2*v**2 + 27*i*l**2*v + 2*i + 4*l**2*v**2 + l*v**2 - 2*l*v wrt v?\nAnswer: -4*i*l**2 + 8*l**2 + 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cqotcxcxkocqqot. Give prob of sequence qck.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1047253*z**2 + 2095573*z**2 - 1047465*z**2.\nAnswer: 855*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 22, 23, 28, 37?\n\"Answer: 2*u**2 - 5*u + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**4 - 2*q**3 + 7*q**2. Let c(a) = -a**3 + a**2. Let p(f) = 5*c(f) - r(f). Solve p(s) = 0 for s.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -5*l**2 - 4*l**2 - 4*l**3 + 13*l - 4*l. Let b(t) = t**3 + 2*t**2 - 2*t. Suppose -39*i = -26 - 52. Determine i*j(a) + 9*b(a).\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24844238.\nAnswer: 2, 12422119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) -11842\/85 (c) -2\/17 (d) -0.2 (e) 119\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6453 and 90?\nAnswer: 64530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 179\/28 + -57\/7. Let g = -111\/68 - p. Let f = 624 - 622. What is the smallest value in 2\/7, g, f, 2\/11?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 AM and 5:38 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -k + 360. What is the lowest common multiple of 45 and k?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2698186430.\nAnswer: 2, 5, 269818643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/2 (b) -0.09 (c) 252 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12342017 and 428603.\nAnswer: 604758833","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 35752 and 1968.\nAnswer: 214512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/2 (b) -9\/25 (c) -3 (d) 3 (e) -7207 (f) 0.4 (g) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*d - 7*c + 26 = 8*c - 5*c, -2*c = 4*d - 8 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l + 0*l + 53*l - 37*l - 26*l + 13*l.\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3*i + 3*i - 4*i)*(6 + 0 - 1).\nAnswer: 10*i - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + -0.2. Let c = s + 1.2. Let r = -12 - -10. Sort c, r, -0.4 in increasing order.\nAnswer: r, -0.4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 * -511\nAnswer: -10220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/5)\/f)\/f**(1\/16) assuming f is positive.\nAnswer: f**(-101\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 20, -5*a - 3*w = -2*a - 765. Which is smaller: a or 253?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = 2*l - 12, 4*b - 35 = 5*l. Suppose -b*h + 54 = 5*u - 6, 2*u + 12 = h. What is the remainder when (1\/2)\/(11\/484) is divided by h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - 7*-1)*268\/20. Let p = h - 49. Solve 0 = -2*i - 4*c - p, -3*i - 5*c + c - 19 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 3.1. Let m = -43 - -47. Which is the second biggest value? (a) p (b) m (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2880)*-2)\/sqrt(9).\nAnswer: -16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -8, 3.\nAnswer: -8, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/8)\/a**(-2))\/(a**(3\/10)\/(a*a**(1\/2)*a)))\/(a**(1\/6)\/a*a**(-1\/4)\/a*(a\/(a*a**(1\/2)))**21) assuming a is positive.\nAnswer: a**(1999\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (3 + sqrt(700)*-3 - -2*-2*sqrt(700))**2 + (((-1 + sqrt(700))*6 - sqrt(700)) + 3 + 2 + sqrt(700))**2)*-6.\nAnswer: -357048 + 3240*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a tonne in kilograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 293, 292, 291, 290?\n\"Answer: -p + 294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1439.20339 + -1439.1. Round u to two decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*y + 187*y + 688 = 15*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 - 4*n**2 + 7*n - 5. Let s(w) = -w**3 - 4*w**2 + 8*w - 6. Let h(c) = -5*m(c) + 4*s(c). List the prime factors of h(-3).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = l, -f + 3*f = 5*l - 14. Suppose 28*p - 30*p - 4 = -4*z, -p + 5*z = 5. Put f, 4, -10, p in decreasing order.\nAnswer: 4, p, f, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 208, 961, 2234, 4039, 6388, 9293, 12766?\nAnswer: 16819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (30 - (0 + (-7 - -9) - -8))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1455246 and 819.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -27 + 47. Suppose -14 = -5*w + o, 3*w + z - 17 = -3*o. Which is the second biggest value? (a) w (b) 0 (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 19*j. Let w(c) = -1864*c**2. Determine w(u(i)).\nAnswer: -672904*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3 - 1750*x**2 + 173522*x - 171770.\nAnswer: -2*(x - 89)*(x - 1)*(x + 965)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fk when two letters picked without replacement from {j: 4, f: 1, k: 1, v: 2, q: 2}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 10 + i + 8*i**2 + 4*i**2 - 1849*i**3 + 1850*i**3 + 0*i. Calculate b(-12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1191 and -0.1?\nAnswer: -119.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 + -5. Let n be (-30)\/(-7) - 6\/21. Solve -n*k + b = 4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of -4*x**2 + 0 - 1\/3*x**3 - 12*x. Let g be i(-5). Solve -2*k - 2 = q + 7, 2*q = g*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 24472 = -5*j, 0 = -2*j - 12*t + 11*t + 9787. What are the prime factors of j?\nAnswer: 2, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/4, 2, 5, 0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11751*c = -279*c + 1066896 for c.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 852*b - 44356. Determine d(52).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -8*c**2 - 1. Let s(q) = 12*q**2 + 2. Give 8*p(z) + 5*s(z).\nAnswer: -4*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 12*f - 237. Let n be m(19). Suppose -15 = 3*h + 3*b, -5*b = 2*h - b + 14. Sort h, -2, n in ascending order.\nAnswer: n, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 - -14. Suppose p*g - 5*g = -108. Calculate the remainder when 872\/g + 2\/(-9) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 9*b**2 - 1067*b - 18590. Determine i(-18).\nAnswer: 3532","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 7*z = -45. Calculate the highest common factor of 6 and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 + 9*k - 8. Let y be x(-10). Let h(g) = -2*g**2 - 1 + 3*g**y - 2*g**2 - 1 + 6*g. Let p be h(6). Which is bigger: p or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of -y**6\/120 - 5*y**3\/6 + 8*y**2. Let c(b) be the first derivative of n(b). Let w(a) = -8*a**2. What is c(w(u))?\nAnswer: -192*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2617 divided by -30\nAnswer: -2617\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(3*sqrt(130)*-6 + sqrt(130) + sqrt(130)))\/(-6*1*sqrt(10)*4).\nAnswer: -8*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 133777*q**3*s**2 + q**3 + q**2*s**2 - q*s + 667*q - 74*s**2 wrt q?\nAnswer: 802662*q*s**2 + 6*q + 2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -19d3 (base 16) in base 3?\nAnswer: -100001212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -2\/11, 5, 0.7, -408, 108?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(170)\/(2*sqrt(30)\/sqrt(3)) + (1 + (sqrt(34)\/sqrt(2))**2)*5.\nAnswer: sqrt(17)\/2 + 90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 7436 (base 8) to base 6\nAnswer: 25530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -168 + 612. Let s(i) = i**2 - 33*i - 1450. Let v be s(58). Suppose -2*k + 4*g + r = v, -k - 671 = -4*k + g. Is k a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*d**3 - d**3 - 4*d**3 + 0*d**3 + d**3 + 0*d**3 + (-2*d + 2*d + 2*d**3)*(-1 + 2 + 1) + 3*d**3 - 4*d**3 + 0*d**3 + 3*d**3 + 7*d**3 - 3*d**3.\nAnswer: 12*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 154 = 6*q - 314. Suppose -25 = -5*c - 5*f, -5*c - f - 31 = -10*c. What is the greatest common factor of q and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 4*u - 3828255 = 0. Let a be 6\/((-30)\/u) + -1. Suppose g - a = 68784. What is g rounded to the nearest 10000?\nAnswer: 320000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 - 9 = -c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 3*q - 5*x, -q + x + 2*x = 12. Let l(t) = 6*t**2 + 42*t - 12. Let h be l(-7). Which is the biggest value? (a) h (b) 5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -247*x - 197 - 50 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 5*j + 646380 = -2*j, -3*j = -3*g + 646410. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53219111 to the power of 1\/3, to the nearest integer?\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 8. What is the second derivative of 50*o**5 + 3*o**z - 51*o**5 - 3*o**2 - 3*o wrt o?\nAnswer: -20*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**4\/21 - 64*r**3\/21 - 36*r**2 - 560*r\/3 - 1078\/3.\nAnswer: -2*(r + 7)**3*(r + 11)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -32 + -135?\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - (-14 + 6 + 1)) + 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74753?\nAnswer: 7, 59, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 - 12*p**2 - 26*p - 29. Suppose -3*v = -5*d + 9*d + 64, 0 = -2*v. Is h(d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12476093471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6059, -24177, -54375, -96653, -151011?\nAnswer: -217449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00484867 rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -56 - -34. Let r = -20 - a. Suppose -3*b + r*t = -35 - 179, -2*b + 3*t + 136 = 0. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((440\/(-12))\/22)\/(10\/(-24)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h = 7*h. Suppose h*m = -m + 10. Let v(f) = 2*f + 37. Let g be v(-11). Solve 5*u + 2*x + m = -3, 0 = -5*u + 5*x + g for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of 2*p**3\/57 + 226*p**2\/19 + 450*p\/19 - 278. Factor x(w).\nAnswer: 2*(w + 1)*(w + 225)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor -q**5 - 18*q**4 + 399*q**3 - 1568*q**2.\nAnswer: -q**2*(q - 7)**2*(q + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9\/8, 0.5, 5.3 in descending order.\nAnswer: 5.3, 0.5, -9\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7897862 and 11.\nAnswer: 86876482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 28254 - 242.2.\nAnswer: 28011.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -508 + 537. Calculate the remainder when 108 is divided by g.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42\/(-56)*10496\/(-4428).\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 952, 1010, 1164, 1462, 1952, 2682, 3700?\n\"Answer: 8*c**3 + 2*c + 942","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(2) + -2 + 3*sqrt(2)*-6)**2.\nAnswer: 136*sqrt(2) + 594","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/29845998 and -5\/23427.\nAnswer: 29845998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/5 - (-6)\/4. Which is the closest to -2\/3? (a) 0.4 (b) y (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 20 = 18. Let b = 74 - 72. Calculate the highest common factor of z and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 3*t**2 + 8*t + 3. Let u be v(-2). Calculate the remainder when 9 + -6 + (-57 - -1)*u is divided by 29.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -7, 4, -22 in increasing order.\nAnswer: -22, -7, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 4*v**3 + 5*v**2 - 6*v + 5. Let s(m) = 7*m**3 + 11*m**2 - 13*m + 11. Let z(a) = 5*h(a) - 3*s(a). Suppose 169*u + 570*u + 6651 = 0. What is z(u)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -7162*p + 43042. Determine v(6).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 9*g = 14*g - 68, 40 = 8*w + g for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of -3\/4*s**5 - 2\/3*s**6 - 174 + 27\/8*s**2 - 1\/2*s + 77\/12*s**3 + 49\/16*s**4. What is k in u(k) = 0?\nAnswer: -1, 1\/16, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -781\nAnswer: -3\/781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*m**2 - 4*m**2 + 5*m**2)*(331 - 382 - 534)*(m + 6 - 6) to the form b*m**3 + u*m + z*m**2 + d and give b.\nAnswer: 1170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 551*o + 10569. What is h(-19)?\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 168610787?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33 + 8*u + 33)*(0*u - 3*u + 5*u).\nAnswer: 16*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1283625692?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 7*j**3 - 9*j**2 - j + 3. Let a(g) = 30*g**3 - 38*g**2 - 5*g + 13. Let t(m) = 6*a(m) - 26*r(m). Determine h, given that t(h) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1564?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 - (-23 + -4 - -3). What is the greatest common divisor of g and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 divided by 19?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 1 + (-2 - 3 + 16)*(-3 - 3 + 3))*(-5*i**5 + 2*i**5 + 5*i**5).\nAnswer: -68*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 985859811?\nAnswer: 3, 109539979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p + 20. Let v be z(9). Let j = -6 + 9. Let q be 16 - ((0 - j) + 0). Solve -u = -5*n - 2, 3*u + v*u = -4*n - q for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 94 = -6045*c + 6043*c, -j - 6*j + c = 41 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -0*c - 4. Suppose 0 = 4*l + p - 45, 11 = c*l - 3*p - 14. What is the units digit of (l - 4)*(-1)\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2245292 divided by 212?\nAnswer: -10591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n + 2*n + n - 8*n.\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2117 + 10039?\nAnswer: 8a22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2. Let k(r) = r**3 + 22*r**2 + 41*r - 4. Let m(j) = k(j) - 5*l(j). What is the remainder when 38 is divided by m(-14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 120 divided by -6\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-2\/5)*a)**(-14\/9)*(a*a**(-1\/4))**(-25\/6)*((a\/(((a\/((a\/((a\/a**(-7))\/a*a))\/a))\/a)\/a*a))\/(a**(5\/4)\/a*a))**(-12\/5) assuming a is positive.\nAnswer: a**(1553\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 6 + 0 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**3 + 5290*p**2 + 7121257*p + 329742768 = 0.\nAnswer: -2621, -48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -26 + 44 - 7\/1. Let m(k) be the second derivative of k**3\/6 - 15*k**2\/2 - k. Determine m(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + -25b?\nAnswer: -258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - m + 825. Let h(i) = i**3 + 3*i**2 + 34*i + 33. Let w be h(0). What is the highest common factor of m and w?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a tonne in kilograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -1492672 and -1492673 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of 4*w**3\/27 + 4*w**2\/9 - 1. Factor i(y).\nAnswer: 4*y*(y + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/(-2) - -10 - 2. Suppose 8 = -b*q - 2. Let z = q - -24. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -8*o - 10. Let k(s) = -s - 2. Let f(d) = -j(d) + 5*k(d). Let x(a) = 0 - 7 + 2 + 5 + 70*a**2. Calculate f(x(u)).\nAnswer: 210*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/15)\/((833\/(-294))\/17).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - 155253?\nAnswer: -155256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16260850*l**3*z**2 + 459*l**2*z**2 - 3*l - 7*z**2 - z + 8 wrt l.\nAnswer: -97565100*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s - 1. Let y(c) = c**2 - c + 2. Let m(b) = -3*x(b) + y(b). Let l(z) = -2*z + 18. Let r be l(12). Let o be ((-1)\/(-2))\/(r\/(-60)). What is m(o)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -292192871635 take away 39.4?\nAnswer: -292192871674.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129 + 161 = 8*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -0.1, 50, -3\/2 in ascending order.\nAnswer: -3\/2, -0.1, 1\/2, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113649200.\nAnswer: 2, 5, 7, 37, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8690\/2577 or 4?\nAnswer: 8690\/2577","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 152667351 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 - 3*p**2 + 3. Let u be n(-3). Suppose 0*h + 5 = u*t + 4*h, -13 = -5*t - 2*h. Solve -t*l - 12 + 4 = 5*o, 2 = -5*o + 3*l for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12)\/(-10) - (-72)\/240. Let y(g) be the first derivative of n*g**2 - 5*g - 4 + 2*g**3 + 1\/4*g**4. Determine y(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4034252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 369*b - 730*b - 121*b**3 + 8 + 96 - 3*b**4 + 361*b wrt b?\nAnswer: -12*b**3 - 363*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28 - m + m**3 + 9 - 16 - 21*m**2.\nAnswer: (m - 21)*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of t**2 + 3*t - 2. Let k(g) = 6*g**2 - 1. Let n be k(1). What is i(n)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10534255*l**3 + l**2 - l**2 - 10534258*l**3 + l - l.\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 59580162 to the nearest integer?\nAnswer: 391","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cmc when three letters picked without replacement from {m: 2, c: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -203 = 12*a - 11*a. Let j = -139 - a. Let k = -1912 + 1936. What is the greatest common factor of j and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (159 - 76 + 140)*(-1 - 1 - 1)*(5*g**2 - 2*g**2 - 2*g**2).\nAnswer: -669*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4900?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5420363 is divided by 904?\nAnswer: 883","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g + 18. Suppose 0*b = b - 14. Let t = -14 + b. Is p(t) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24379866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 177?\nAnswer: -531","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 4*l + 5*l**2 - l**2 - l**2 + 0*l**2. Let g = -2 - 2. Let q(b) = -2*b**2 - 3*b. Determine g*q(x) - 3*f(x).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 705285 and 21591?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.25 and -39952.\nAnswer: -39952.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 6 = 15. Let j = 12 + o. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -4 + 971*z**2 + 4 - 972*z**2. Let a(h) = 6*h - 3. Calculate d(a(i)).\nAnswer: -36*i**2 + 36*i - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a centimeter in micrometers?\nAnswer: 26250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -95 - -949\/10. Let w = -1.1 + 6.1. Which is the third biggest value? (a) 4 (b) i (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from tttttototktotttt?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of 0*l**5 + l**2 - 36*l + 0 - 1\/300*l**6 + 2\/5*l**3 + 7\/60*l**4. Factor k(p).\nAnswer: -2*(p - 3)*(p + 1)*(p + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 17, 103, 267, 509?\n\"Answer: 39*n**2 - 31*n + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/20)\/((-1)\/35)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(2548) - sqrt(2548)*-2) + sqrt(2548)))\/(sqrt(16)\/(sqrt(108)\/sqrt(3))).\nAnswer: 252*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 8*m + 11*m + 7 - 21*m - 11*m**2 + 7*m + m**3. Is s(12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3 - 26*h**4 - 25 - 6*h**4 + 11*h**4 wrt h?\nAnswer: -84*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d and 1 r when four letters picked without replacement from ndggwdrgduwgdgu.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a litre in millilitres?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3915033563 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2\/27 + 73\/108. Let f(q) be the first derivative of 0*q**2 - 1 - q**3 - y*q**4 + 0*q. Find the third derivative of f(b) wrt b.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 449, 317, 89, -241, -679, -1231?\nAnswer: -1903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10047 - 10044. Let y = 0.009 - -0.091. Sort s, y, -7\/3, -3.\nAnswer: -3, -7\/3, y, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2871984 - 7.\nAnswer: -2871991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/20)\/((-94)\/(-3290)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (49\/245)\/(1\/(-2))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*r**2 - 4*r**2 + 3*r**2)*(39 - 9 + 13) as x*r**2 + w*r + d and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -720*j = -717*j - 7 + 5 + 5 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 225 is divided by 29.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 193 = 91. Suppose 2*h + 3*w - 493 = 0, 5*h - 744 - 492 = -4*w. Suppose o = 14*d - h. What is the greatest common factor of 57 and d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 573 divide 97227786?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/53 or -1?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 894808 and 1517.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1800)*2 - sqrt(1800)) + (sqrt(2450) - sqrt(50))*-3)\/((sqrt(20)\/(sqrt(8)\/sqrt(4)) - (sqrt(10) + sqrt(10) + 2*sqrt(1440)))*6).\nAnswer: 2*sqrt(5)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 6 = -0. Let u be (-2 + f)\/(0 + 1). What is the third derivative of -2*j**5 + 5*j**2 - 4*j**2 + u*j**5 wrt j?\nAnswer: -120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -371, -4, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1723, -3123, -5459, -8731?\nAnswer: -12939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 85*c - 24*c - 22*c + 37 - 13*c - 20*c to the form k + i*c and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4762.\nAnswer: 2, 2381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 AM and 12:52 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -101, 4, 2 in decreasing order.\nAnswer: 4, 2, -4, -101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/4 (b) -2\/5 (c) 0.5 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m + 2*m - m)*(-1 + 1 - m**2) + (0*m**2 + m**2 + 19*m**2)*(-35 + 6*m + 35).\nAnswer: 123*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**4\/g)\/g**(-1\/3)*(g*g**(3\/4))\/(g*g**(2\/7)))\/((g**1\/g)**(-34))**(-4\/21) assuming g is positive.\nAnswer: g**(319\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30 + 0. Suppose -5*i = i - z. Calculate the smallest common multiple of i and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 0*d = 6. Suppose 5*s - n - 10 = 0, -4*s - d*n = -5 - 3. Solve 2*i**3 - 5*i**2 + 2*i**s + 0*i**3 + 5*i**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -24*h - 117. Determine t(-4).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.33 and -111.7?\nAnswer: -36.861","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/7 - 4966*w\/7 - 1682140\/7.\nAnswer: 2*(w - 2785)*(w + 302)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 255*46.104\nAnswer: 11756.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/50 of a century?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 + y**2 - 3*y + 2. Let c(l) = -l**3 - 3*l + 2. Determine 4*c(n) - 3*w(n).\nAnswer: -n**3 - 3*n**2 - 3*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7508*h = -6123*h - 49860 for h.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 + 6*r**2 - 6*r + 6. Let x be u(-7). Let j be (-48)\/(-70) + (-2)\/7. Are j and x unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 152 and 532.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -15112, -15094, -15052, -14992, -14920, -14842, -14764, -14692?\n\"Answer: -q**3 + 18*q**2 - 29*q - 15100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) + (sqrt(84) + -3*sqrt(84))*-4 - sqrt(84)) + sqrt(84))\/((1*sqrt(24)\/sqrt(2) + sqrt(12) - sqrt(12)) + sqrt(12))*-1.\nAnswer: -9*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 212 divided by -216095\nAnswer: -212\/216095","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -3, 4, -1, -0.3, -21?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -183, -140, -97, -54, -11, 32?\n\"Answer: 43*d - 226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**3 + 161099*v**2 - 6489268967*v + 84333273037 = 0.\nAnswer: 13, 80543","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 31 in -1, -3, -2\/9, -3\/41?\nAnswer: -3\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 202 divide 1693568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.1*-111213.\nAnswer: -455973.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.9 in 1, 0.08, 5?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21792 and 63106.\nAnswer: 3029088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 945 is divided by 76?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z - 2 + 2 + (-2 - 1 + 4)*(0*z + 0*z - z) + (2*z + 0*z - z)*(2 + 1 - 2) + z + 2*z + 0*z - 1256*z - 1308*z + 2669*z - 41 to p + j*z and give p.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 23408*o**2 + 726. Let l(s) = -289*s**2 - 9. Let y(p) = -6*a(p) - 484*l(p). Let f(t) = -t**2. Give f(y(q)).\nAnswer: -327184*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.06 - -0.4. Let z = p + -1.1. Round z to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -186\/29723 - -980533721\/267507. Let o = -3660 + t. Calculate the common denominator of o and -11\/5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -0.2, 0.5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 661 - -804. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 + s - 17. Suppose 95 = 11*h + 95. Calculate m(h).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 122.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -4*a + 10, -3*a + 2 = -4*x + 10. List the prime factors of -1 + (x - (-8 - -1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2337784 (base 11) to base 6\nAnswer: -223242554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 12\/25 of a millennium?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6618066 a multiple of 897?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -93*f**3 - 2*f + 687*f**4 - 4 + 2*f**2 + 765*f**4 - 1454*f**4 to the form t*f**3 + s + p*f**2 + r*f + x*f**4 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1906194 a multiple of 1454?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 - 256*h - 58. Let o(q) = q. Give t(o(w)).\nAnswer: w**2 - 256*w - 58","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 19791\/7177 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*y - 23*y - 24*y.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*m**3 + 34*m**3 - 2*m**3.\nAnswer: 56*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 2 + 2 + -5 + -3?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (10\/(-14)*1)\/(193\/(-1351)). Put 346\/17, -0.1, g in increasing order.\nAnswer: -0.1, g, 346\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 16 = 5*m - 1, 0 = -5*m + 4*s + 33. Suppose -3*a - 2723 = -m*n, -2*n = 2*a + 2*a + 3622. Round a to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 - (-32)\/4*1. Suppose 3*q - 2 = -4*u + 4, 4*u + x*q - 2 = 0. Solve -4*m - 3*d - 5 = 2, -m - u*d = 13 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/7)*p*p**0)**(-24)*(p**(-4)*p\/p**(-2\/9))\/(p*p\/((p*p\/p**(2\/9))\/p)*p*p*(((p*p**(-3))\/p)\/p*p)\/p) assuming p is positive.\nAnswer: p**(-158\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.7? (a) -4\/7 (b) -1 (c) -2\/23 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 64559 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -35, -59, -81, -101, -119, -135, -149?\n\"Answer: k**2 - 27*k - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 225 = -3*t, -x + 5*x - 2*t = 900. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 4*a**2 + 5*a + 8. Suppose -107 = 2*t + 43. Let j = 66 + t. Is o(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 - 3*f + 3. Let l be t(0). Suppose -l*j + 80 - 11 = 0. What is the greatest common divisor of j and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, n: 1, e: 1, j: 2, i: 1, k: 1}. Give prob of sequence yk.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9809336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-36)\/(-27)*30\/4. Let x = o - -5. Solve -5*i + x = -2*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17 - (-9 - (7 + 7))) + 2 + 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 336*n**2 + 51*n + 51*n - 102*n.\nAnswer: 336*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 381925113.\nAnswer: 3, 59, 2157769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**3 - 2*b**3 - 2*b**3 + (1 - 1 - 2*b)*(1 - 1 - 3*b**2).\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11961*d**2 + 184*d**3 - 11961*d**2 - 1326*d**3.\nAnswer: -1142*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -21be - 53?\nAnswer: -2222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n - 4*n + 0*n**2 + 2*n**2. Let t be w(2). Let p(b) = 1901*b + 9508. Let o be p(-5). Sort t, o, -2, -3 in descending order.\nAnswer: t, o, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*r - 8*r - r)*(3*r + 3*r - 4*r) to the form l*r + z + j*r**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 3380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11619 - 11617. Factor -2\/5*l + 2\/5*l**p + 0.\nAnswer: 2*l*(l - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24232 divided by 1\nAnswer: 24232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8278715\/478192 - -1238\/2299. Let j = -8587\/13 + 679. Let n = j + a. Calculate the common denominator of n and -5\/12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a and 1 p when four letters picked without replacement from {z: 7, p: 1, a: 10, t: 1, y: 1}?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 11 + -10 - (12 + -17 + 17) - -78?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3\/11*52\/(-78)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 125 - -50?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 818666 to the power of 1\/2, to the nearest integer?\nAnswer: 905","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47401?\nAnswer: 107, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**2 + 69442332*f - 69442336.\nAnswer: 4*(f - 1)*(f + 17360584)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.587 rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 AM and 2:53 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3668 + 7486 = -507*r for r.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + -19?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -549*a + 441*a**2 - 280*a**3 + 1113*a - 564*a - 1 wrt a?\nAnswer: -1680","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(3 + sqrt(2736)).\nAnswer: 9 + 36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 5*n - 1. Let b be m(1). Suppose -b*v + 69 = 9. What is the first derivative of -11*t**2 + 22*t**2 + 7 - v wrt t?\nAnswer: 22*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -3*x**2 + 4919*x + 7. Let f(s) = 8*s**2 - 9838*s - 18. What is 2*f(u) + 5*z(u)?\nAnswer: u**2 + 4919*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 5*o**3 - 2*o**2 + 4*o - 2. Let r be u(1). Let k be (r + (-363)\/63)*-6. Is k smaller than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2 + -5 + ((((sqrt(2448) + -1)*1 - sqrt(2448)) + -1)*-2)**2).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5 - (6 - (6 + -15)). Let q = -29 + 20. Is w greater than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.75328 * -0.2.\nAnswer: 0.150656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-1)\/(-4)*(-8)\/(-15).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38 - 36.2. Let o = r + -0.8. Let f be (7\/(875\/(-10)))\/((-1)\/(-10)). Which is the nearest to 0? (a) f (b) -3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 3*f**2 + 5*f - 3. Let p be c(6). Suppose -5*o - 5*n - p = 0, 3*n + 139 = -5*o - n. Let y = o + 91. Is 15 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9a7 (base 13) in base 9?\nAnswer: 2242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10275319 less than 10275321?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 20233 (base 4) in base 3?\nAnswer: 202201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5563 - -141. List the prime factors of s.\nAnswer: 2, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 157 + 50*w**3 + 176 + 12*w**3 + 162 - 495.\nAnswer: 62*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q - 5*q = 25. Let k = 98 + -1076\/11. Which is the biggest value? (a) -5 (b) -2 (c) k (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(42)\/sqrt(6) - (sqrt(7) + -3)*-2)**2 - (3*2*sqrt(70) + sqrt(70))\/(sqrt(490) + sqrt(490) + 1*sqrt(490)).\nAnswer: -127*sqrt(7)\/3 + 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-63)\/(-36)*(-30)\/105*2\/4. Which is the fourth smallest value? (a) -27 (b) -1\/3 (c) 2 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, f: 3, p: 2, c: 3, n: 4}. Give prob of picking 3 g.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11456?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -3*y - 1. Let i be m(-1). Suppose b - 11 = -20. What is the units digit of (24\/b)\/i*-3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -3*o - 4*r - 18, r = 5*o + 5. Let f = -17 + 17. Put o, 4, f in descending order.\nAnswer: 4, f, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 4 = -p, -2*x + 5174 = -4*p. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 21*l - 634. Give t(33).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 - 86*i**2 + 93*i + 75. Give f(-87).\nAnswer: -447","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 (base 6) in base 12?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19482, -5, -0.8, -4, 4.\nAnswer: -19482, -5, -4, -0.8, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 335831 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (0 + -2 - (15 + -20))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 5 + 0*a**2 + 0*a + 5*a**2 + 4 + 5*a. Let v(y) = 14*y**2 + 15*y + 26. Let z(x) = -17*b(x) + 6*v(x). Give z(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -690 + 694. Solve -q*w = 3*w - 7 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ada when three letters picked without replacement from {a: 3, d: 9}.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/55*((-27 - -25) + 382)?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (46 - 51 + 172)*(-4*x + 2*x + x)*(-8*x + 11*x - 9*x).\nAnswer: 1002*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 4*j = -0*k + 34, -4*k - 2*j + 58 = 0. Let x be k\/4 - 12\/(-48). Let g(f) = 3*f**2 - 2*f - 2. Let u be g(2). Is u greater than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c**3 - c**2 + c - 4. Let z be n(2). Suppose 2*y = -2*r + z, -3 = 5*r - 3*y + y. Differentiate 8*p**4 + r + 14*p**4 + 8*p**4 + 2 wrt p.\nAnswer: 120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -3\/10, 1.1, -4\/5?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + -13100440?\nAnswer: -13100430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 13345 (base 7) in base 4?\nAnswer: 320122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = -0*q + 4*q - 8, -s + 2*q - 4 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3050?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 2*p - 4 - 20 = 0, 2*x = -4*p for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1*-2176655\nAnswer: 2176655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1287 divided by -12.\nAnswer: 429\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1845 to 2 dps.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 26*c - 144 - 146 - 776 for c.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 + 19 + (22 - 21) + -1 + -9?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 11, 37, 113, 263, 511, 881, 1397?\n\"Answer: 4*o**3 + o**2 - 5*o + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 b when two letters picked without replacement from iobeeobioeeiebiihii?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 38 - 32. Suppose i*h - h = 40. Let x be 2\/(-24)*-9 + 34\/h. Solve x*r - 5*q = 10, 0 = r + 3*r - 5*q - 6 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54.73176 years to months.\nAnswer: 656.78112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i**2 + i + 2. Let m be (-3)\/12*(1 + 3). Let k(t) = -1 + 4*t**2 + 0 - 3*t**2. Let f(x) = m*z(x) + 3*k(x). Calculate f(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 - 12*v**2 - 62*v + 895. Give b(9).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 424408 - 2*g**3 - 424408.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of -t**6\/120 + 19*t**5 - 1535*t**3\/6 + 28*t**2 - 9. What is the first derivative of a(b) wrt b?\nAnswer: -3*b**2 + 2280*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-60)\/8*(-4)\/(-6). Let o = -3795 + 22639\/6. What is the common denominator of (-5)\/15 + u*15\/(-6) and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38511307 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -4*o**2 - 163*o - 10. Let h(w) = 9*w**2 + 325*w + 21. Give -6*h(l) - 13*n(l).\nAnswer: -2*l**2 + 169*l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4311)\/2874)\/(6\/(-104))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + q + 26 = -3*q, -3*q - 9 = -n. Put -27, n, -5 in decreasing order.\nAnswer: -5, n, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -6*k + 4. Let y(l) = 5*l - 3. Calculate -4*g(b) - 5*y(b).\nAnswer: -b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((27\/(-12)*-2)\/(-6))\/(1806\/(-1376))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gyyvyvyviiyviii. Give prob of sequence vgyv.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o + 76. Let b be q(13). Suppose -4*m + b = 3*a, 3*m = 2*a + 1 - 40. Calculate the highest common divisor of 126 and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 414 + -2?\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppuuppuuuuuuuuu. Give prob of picking 3 u.\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 45191 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.15 + -11.85. Let v = a + 11. What is the nearest to v in 2, -1\/4, 4\/5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20994831 and 468.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 greater than or equal to 18266?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/3)\/((g**(-5)*g)\/g))**(7\/12) assuming g is positive.\nAnswer: g**(119\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 18.72788 and -1723258.81?\nAnswer: 1723277.53788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add 1714854284 and 0.4.\nAnswer: 1714854284.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -4*r**2 + 82*r - 406. Let o be f(12). Let u(t) = t. Let p(j) = 6*j + 3. Let h(z) = -p(z) + 5*u(z). Let s be h(-4). Solve -c + o = -s for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -d9 (base 15) in base 4?\nAnswer: -3030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 22 and -0.06783.\nAnswer: 21.93217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g + 1. Let m(i) be the third derivative of i**4\/24 + i**3\/6 - 2*i**2 - 25*i. Suppose -n = n - 6. What is n*m(h) - 4*j(h)?\nAnswer: -h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r - 1535 = -64*r - 4351 for r.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 15\/(-18)*(-6)\/(-20). Let h = 29\/42 - 5\/6. Which is the third biggest value? (a) 0 (b) y (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -716 - -2?\nAnswer: -714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-6))\/((-1008)\/108). Put 0.1, -2, r, -3 in ascending order.\nAnswer: -3, -2, r, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 209 and 187?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2528 + 14159. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**3 - 6*k**2 + 48*k + 160 = 0. What is k?\nAnswer: -4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 - 3*z + 4. Let p = 0 + -3. What are the prime factors of i(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/23 (b) 6.445 (c) 10 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do -62 and 112 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*j - 53*j - 8*x = -80, -3*j - 5*x = -99. Calculate the greatest common divisor of j and 602.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 5*s - 7, d = -5*s - 10. Let q = -74.7 - -71. Let f = 0.3 - q. Sort d, -3\/4, f in decreasing order.\nAnswer: f, -3\/4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1726004 and 8?\nAnswer: 3452008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-1*sqrt(52)*1)**2.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -3*s. Let q(v) = -10*v - 7. Let p(z) = 7*z + 5. Let w(l) = 7*p(l) + 5*q(l). Determine w(k(n)).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 413298a (base 12) to base 7.\nAnswer: 206130646","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + 4*d - 2*d - d**2)*(-1 - 2*d + 1)*(2*d**2 - d**2 + 0*d**2).\nAnswer: 2*d**5 - 4*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 1170429.546.\nAnswer: -1170426.546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -30630126 (base 7) to base 14\nAnswer: -4b1abd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3090.024 - -3126. Let v = l + 0.024. Let m = v - 32. Is 3 < m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*y - 42*y = -200. Calculate the highest common divisor of y and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -237 or -238?\nAnswer: -237","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/8)\/(q\/q**0))\/(q**(1\/4))**(-38)*q**(-2)*q*q*q\/(q*q**(2\/9))*(q\/(q\/q**4))\/q**1 assuming q is positive.\nAnswer: q**(821\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 t when two letters picked without replacement from mmemete.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -113 - -89. Let c be (-6 - q)\/6 - (-173 + 0). What is the highest common divisor of 66 and c?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 530*l + 4787 = -2633 for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = o + 3*o. Suppose -d + 33 = -o*d. What is the greatest common divisor of d and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c - 3*m + 142 = -3*c, 2*c = 5*m + 32. Suppose -5*y - 29 - 41 = 0. Let u = 90 + y. Calculate the remainder when u is divided by c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 64 + 0*m**2 - 2*m - 60 - 2*m**2 + (-2*m - 4 + 4)*(-2 + 2 - 2*m).\nAnswer: 2*m**2 - 2*m + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, t: 6, j: 2, n: 1, v: 1, y: 4}. Give prob of sequence vj.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 687258 and 1716?\nAnswer: 1374516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -4*s + 3*s + 671, s = 4*g - 673. Let v = -142 + g. What is the highest common factor of 39 and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, -3, 5, -1 in descending order.\nAnswer: 5, 3, 2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 1\/4 (c) 1 (d) -0.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.7 + -6.7. What is the closest to -7 in -1\/6, w, 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -4*w + 5*w - 7*w**2 + 0*w**2. Give u(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ujukumm. Give prob of picking 1 j, 1 k, and 1 m.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 167 - 39. Let a be (2 - 4)\/(1\/w). Suppose a = -0*b + 2*b. Is 11 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36552 minus 26.3?\nAnswer: 36525.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 48*w**2 - w - 1. Determine b(-2).\nAnswer: 193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4208604, 4208610, 4208620, 4208634, 4208652, 4208674, 4208700?\nAnswer: 4208730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46722199 is divided by 98.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3763 a factor of 660481850?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2. Suppose 0 = -6*a + 11*a. Let i(s) be the second derivative of s + 0 + 1\/2*s**3 + a*s**2. Determine i(n(z)).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72141457?\nAnswer: 79, 913183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 407*l - 2028*l + 408*l + 400*l + 402*l + 420*l.\nAnswer: 9*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 287 = -2*x + 16, -2*s - 744 = -5*x. Calculate the smallest common multiple of x and 16.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 - h - 2. Let i(p) = -p**3 - 7*p**2 + p + 9. Let l be i(-7). Let r be l\/2 - (3 - 7). Is j(r) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5408075 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001115074 to five decimal places.\nAnswer: 0.00112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.6524 and 5.24.\nAnswer: -3.418576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10072273 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n**3 - 2*n**2 - 5*n + 6. Let a(p) = 2*p**3 + p**2 + 4*p - 5. Let t(x) = 3*a(x) + 2*j(x). List the prime factors of t(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - 2*w + 4*w - 2 + 2 + (12 - 5 - 6)*(-7*w + w - 9*w).\nAnswer: -13*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 363, 5, -24, 3 in descending order.\nAnswer: 363, 5, 3, -4, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71119 + 222959 = 3157*m - 78588 + 44338 for m.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-3))**47\/(c**(-14)*c*c**(-11)) assuming c is positive.\nAnswer: c**(-117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from srakaakrssaakakkakr. What is prob of picking 3 k?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -150*d - 134*d**2 + 2199*d**2 + 403*d**2 + 152*d in the form z*d**2 + v*d + y and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 20 + 78*m - 411*m + 0. Is x(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4038 a factor of 599155351?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -3*z + 113. Let a be i(32). Suppose 116 = 2*b + 3*d, 5*b + a*d - 22*d = 240. What is the greatest common factor of b and 312?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 1 = 5*x - 5*m, -m = -3. Suppose -7*v - u + 27597 = -2*v, -x = -u. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (8 - 5)\/(3\/985)?\nAnswer: 5, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 - 9*s**2 - 4*s + 8. Let d be p(8). Let b = 140 + d. Calculate the common denominator of 73\/9 and 12\/(-78) + 2634\/b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*g**5 + 10410*g**4 + 119421*g**3 + 373386*g**2 + 395292*g + 85176 = 0. What is g?\nAnswer: -7, -2, -2\/7, 507","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1401889 is divided by 9869.\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 12404512 a multiple of 347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*s + 14482040 = 14481592 for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, -0.01, 2 in descending order.\nAnswer: 27, 2, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one quarter of a week?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-1)*(-11)\/(88\/(-8)). Let l(k) = 13*k**3 - 3*k**2 + 3. Let h(p) = -25*p**3 + 5*p**2 - 5. Give v*h(i) + 5*l(i).\nAnswer: -10*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6726 + 6737. Solve 0 = j - 3*p - 12, -16*j + l*j + 5*p + 10 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91598419.\nAnswer: 11, 8327129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 21\/28 - 42\/(-8). Solve -9 = 5*p + y for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9329936 or -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -31 + 39. What is k rounded to 0 decimal places?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1833 + -1942. Suppose 0 = -a - 3*q + 8, -2*q + 34 = 2*a - 2. Let c = a - i. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = 4*v - 6*x, 2*v - 34*x = -38*x + 24 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 738 and 33.\nAnswer: 8118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add 37 and -2.54.\nAnswer: 34.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 3*j + 27 = 0, -4*j - 3 = -7*j. Suppose -k - 3*w + 225 = 0, 0 = w - s*w + 25. Round k to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 73288, 146575, 219862?\nAnswer: 293149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 - 25*m**2 + m - 25. Let q be j(25). Suppose -4*z + 3 = -z. Let b be z\/(-2) + 26\/44. Is b at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of r**6\/600 + 7*r**5\/75 - 17*r**4\/10 + 2*r**2 + 156*r - 5. Let n(x) = 0. What is x?\nAnswer: -34, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v. Suppose 16 = -10*h + 16. Let i(q) be the first derivative of 0*q**2 + h*q + 1 - 2\/3*q**3. Calculate i(l(u)).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 504 and 342?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38926 = 133*k - 44379 for k.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1753 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f**4 + 485*f**3 + 3*f**2 - 3*f - 770 wrt f?\nAnswer: 12*f**2 + 2910*f + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 8 = -z. Suppose z*c - 3*c - 30 = -5*u, 2*u + 10 = -4*c. Solve -7 = -r - f, 2*r + u + 16 = 5*f for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + 3. Let f be 30\/z*12\/(-18). List the prime factors of f\/(-2)*126\/15.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -19*z - 1. Calculate the remainder when r(-1) is divided by 2\/(-4) - (33\/2)\/(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i**5 + 21*i**4 + 33*i**3 - 57*i**2 - 114*i - 48 = 0.\nAnswer: -1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 710295162?\nAnswer: 2, 3, 79, 1498513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1481*l**2 - 9*l**3 - 1481*l**2 + 2962*l**2.\nAnswer: -9*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (35\/(-20) - -1)\/(15\/(-80)). Solve u - 5*u = y*n - 24, 0 = 2*u - 2*n + 4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2729, 1 in decreasing order.\nAnswer: 1, -5, -2729","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 - 13*k + 12)*(4*k - 6*k + 6*k).\nAnswer: -52*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 1 - 2)*(-2*b - 3*b + b) in the form z + k*b and give k.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*k**2 - 11*k**2 + 35*k**2 - 4*k**2 - 17*k**2.\nAnswer: -7*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -102 (base 3) to base 5\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/945 and -39\/73405.\nAnswer: 13873545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than -416\/577?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/b**0))\/b*b)**(-3\/2)\/(b\/(b*b*b*b*b*b**(-2\/5)*b*b*b))**(21\/8) assuming b is positive.\nAnswer: b**(693\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 16531 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: Collect the terms in -6*h**3 + 6*h**3 + 5*h**3 + h**3.\nAnswer: 6*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 11) in base 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 299, 1296, 2959, 5288?\n\"Answer: 333*x**2 - 2*x - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r - 2*r - r)*(21*r - 7 - 174*r - 1455*r + 7).\nAnswer: 1608*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75*x - 52*x + 66*x + 16*x.\nAnswer: 105*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 + -18. Let g = 3 + m. Let x be 2\/3 - (-20)\/(-21). Are x and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + -4 + 8 + -8. Suppose 2*z = 2*u + 98, -3*u - 139 + 44 = -2*z. Let w be (-32)\/(-14)*13\/z. Which is greater: p or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29 - 31 + 65)*(-602*v**3 + 520*v**5 + 55*v**5 + 602*v**3).\nAnswer: 2875*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c = -12*c + 2*z + 989, -c = z - 338. Suppose 0 = 3*w - c + 48. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2872624 is divided by 1225.\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 486.\nAnswer: -243","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 40742*x**3 - 3*x**2 - 2*x - 1. Let l be u(3). What is l rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142*c = 250*c + 7840 for c.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.17 - -84.2.\nAnswer: 86.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y - 4*g - 82912 = 6268, -22305 = -2*y - g. What is the ten thousands digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 250*i**2 + 2*i + 180 - 2*i - 457*i**2 wrt i?\nAnswer: -414*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -828 - -1038. Suppose -192 = 9*h - o. What is the lowest common multiple of h and 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 3275405?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 700317 to the nearest integer?\nAnswer: 837","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 47*d**6*t**2 + 3*d**3*t**3 - d**2 + d*t + 28*t**3 wrt d.\nAnswer: 5640*d**3*t**2 + 18*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 4492*q - 35854. Determine b(8).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -40 - 2*v**3 + 15 + 0*v**2 + v**2 + v + 20 as p*v**2 + l + j*v**3 + k*v and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -3*k**2. Let s(t) be the first derivative of -t**2\/2 - 2. Determine j(s(x)).\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*((o*o**(2\/5)\/o)\/o)\/o))\/o*o**5\/o*(o*o\/(o\/o**1))\/(o*o**4) assuming o is positive.\nAnswer: o**(8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1160*o + 1198*o - 31631 - 973. Calculate the remainder when o is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2*m = 0. Let d = -54 + 53. Which is greater: d or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (-6 - -3 - 14).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a + 5*a + a)*(-1 - a + 1 + (1 - 1 + 1)*(-3*a + 0*a + a)) + (-15 + 7*a + 15)*(1 + 0 + 2)*(a + 3 - 3).\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzkzaza. Give prob of picking 2 a.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 1654 + 239 = 0. Is r a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 3*w = -1, -c = 2*c - 5*w - 73. Let t = -11 + c. Let f(z) = -12*z**2 - t*z**2 + 15*z**2. Let y(k) = 9*k**2. Determine f(y(r)).\nAnswer: -162*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*3*(-2)\/12.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(832) + 2)*2)**2 + 5.\nAnswer: 1152*sqrt(13) + 30101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hmhm when four letters picked without replacement from mmzzhmmhmhmkh.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 314212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -2\/6773?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 16 = -3*y, 2 = -y + 4*w - 5*w. Let u(s) = -s**2 - 7*s - 8. Let n be u(y). Solve -5*t = n - 24 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 105 + -27. Suppose -t*x = -81*x + 1407. Does 10 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8\/2)\/2 - 8. Let v(n) = -26*n - 17. Let t(x) = -61*x - 2. Let o(b) = 16*b + 1. Let l(q) = 12*o(q) + 3*t(q). Calculate m*v(c) - 17*l(c).\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/2))**(-13\/5)\/(l*l**(-1)*(l*(l**(2\/25)*l)\/l)\/l))**(2\/27) assuming l is positive.\nAnswer: l**(-23\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of n**5\/20 + 5*n**4\/12 - n**3\/2 + 5*n**2 - 881*n. What is s(-6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 84*d**5 + 11*d**3 + 959*d**2 + 3. Let p(y) = 83*y**5 + 9*y**3 + 960*y**2 + 2. Let t(k) = 2*i(k) - 3*p(k). What is the third derivative of t(j) wrt j?\nAnswer: -4860*j**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6589\/2360 + 55\/236. Find the common denominator of l and 91\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of 6429683077?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 228.60607 rounded to 0 decimal places?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 546 = 7*l. Let y be (7\/3 - 3)\/((-4)\/l). Sort y, 3, 4, -4 in decreasing order.\nAnswer: 4, 3, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 2*s**5\/13 - 2570*s**4\/13 + 842064*s**3\/13 - 808992*s**2 = 0.\nAnswer: 0, 13, 636","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36086?\nAnswer: 2, 18043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1409?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0041 + 0.2791. Let j = 0.275709 - g. Round j to 5 dps.\nAnswer: 0.00071","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*s + 1440 - 1440 in the form w + f*s and give f.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are 3675530 and 3675530 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12938064?\nAnswer: 2, 3, 269543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o + 2*o + o + 3*o - 2*o + o + (3 - 6 + 1)*(2*o + 3*o - 7*o) + 8*o - 2*o + 0*o - 1 + 2*o + 1.\nAnswer: 15*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 + 44*r + 88. What is z(46)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3\/2 (b) -2.5 (c) -0.2 (d) 973854\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + -9. Suppose i*x - x = 2*h - 73, -h - x = -44. Suppose 3*f - 36 = h. Calculate the remainder when f is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1385517651 to the nearest integer?\nAnswer: 37223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.9, -0.0672, 6 in decreasing order.\nAnswer: 6, 0.9, -0.0672, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 83 + -43 - 18 - (0 + 1)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 3*j - 2. Let v be 0 - -1*4\/2. Let m be x(v). What is the second derivative of 2*r - 2*r**m + 2*r - 5*r wrt r?\nAnswer: -24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -147*x**2 - 2*x + 4. Let w(r) = -294*r**2 - 5*r + 9. Calculate 7*t(n) - 3*w(n).\nAnswer: -147*n**2 + n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*w - 81*w**2 + 64*w + 429*w**2.\nAnswer: 348*w**2 + 7*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2479568745.\nAnswer: 3, 5, 17, 9723799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-115)\/200 - 27\/(-72).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1 and 143?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23.1 - -23. What is the nearest to 1 in 0.04, o, -1?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2426 + -26704\/11. Do r and -2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 + 23. Let p be n\/(-30)*(-1 - 14). What is the highest common divisor of p and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24 or -19?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13056, 52283, 117672, 209223, 326936, 470811, 640848?\nAnswer: 837047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-10)*u\/((u\/(u*u**(-2\/19)\/u))\/u*u)*(u**(2\/3))**1)**(8\/11) assuming u is positive.\nAnswer: u**(-4304\/627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - -27. Calculate the remainder when 242 is divided by a.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -9 + -1 + 2 - -1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -435 = 851*m - 852*m. What is the hundreds digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(3\/10)*y\/(y\/y**(-5\/7))*y*y**3*y*y\/(y\/(y\/y**4)) assuming y is positive.\nAnswer: y**(111\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*h + 79 = 55 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8061 divided by 3.\nAnswer: 2687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3671, 7425, 11247, 15137, 19095, 23121?\nAnswer: 27215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of 6 - 29\/2*f**3 + 1\/4*f**4 + 42*f**2 - 2*f. Suppose t(n) = 0. Calculate n.\nAnswer: 1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -49431852 + 49439700.1034. Let c = m + -7827.1. Let q = c - 21. Round q to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*k + 1624 = -22*k. Suppose -2 = 3*v - 8. Suppose k = -u + v*u. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -27150*(2 - 10\/4) + -1. Let j = q - 8419. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (10 - (-6 + -10))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/15*((-40)\/(-6))\/2. Let r = 2.8 - -0.2. Let w = -1 + r. Put w, 0.1, f in descending order.\nAnswer: w, f, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4311514 = 178*q - 19153688. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 240 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f**2 - 4*f**2 + 3*f**2 + (-1 - f + 1)*(0*f + f + 0*f) + 0*f + 0*f - 2*f**2.\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p**3 - 5*p**3 + 4*p**3 + 3 - 3 + p**3 + p**3 + 0*p**3 - 3*p**3 + 4*p**3 - p**3 - 5*p**3 + (-4*p**3 + p**3 + 2*p**3)*(2 + 2 - 2))*(4*p - p - 2*p).\nAnswer: -3*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -24242*g - 120831. Calculate o(-5).\nAnswer: 379","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5897 + 5897 - 41*j)*(0 - 1 + 3).\nAnswer: -82*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*j + 23*j + 30. Let q = j + 10. Solve 3*p - 3 = q, 0 = 5*h + p - 1 - 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9788 - -9727. Are 18 and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -15. Let x(z) = -z - 14. Let i be x(r). Does i = -26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + 2)\/((-1)\/(-5)). Suppose -3*h + 11 = -v. Suppose 4*d - h*d = -24. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 475 times -0.1\nAnswer: -47.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -43885545, -43885549, -43885555, -43885563, -43885573?\n\"Answer: -n**2 - n - 43885543","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 167396*b**2*q + 670*b**2 + 32*b - q + 2 wrt q?\nAnswer: 167396*b**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -w**4\/2 + 39*w**3\/2 - 134*w**2 - 1122*w - 968 = 0.\nAnswer: -4, -1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 2*n + 1 = 0, -3*t + 8 = -2*n + n. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from haahaawhahdfaaa. Give prob of sequence hh.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 8*b**3 - 2*b + 1. Let j be g(1). Suppose -3*w + 20*u - 15*u - 33 = 0, 4*w = -2*u + 34. Solve 3 - j = -w*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6 - -5)*-3)\/3 - (-60)\/(-18)?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 6:41 AM?\nAnswer: 9:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.013768 months in years?\nAnswer: 1.417814","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6921637 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 125037 or 125059?\nAnswer: 125059","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 + -42 + (-2 - -21 - 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 - 4*o + 6. Let d be h(-5). Let t(x) = 0 + d - 9*x + 2 + x. What is the tens digit of t(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3675146*y**2 - 1725*y - 54 wrt y?\nAnswer: -7350292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide ((-2)\/(-1 - -5))\/((-5)\/760)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 89861 and 0.05.\nAnswer: 4493.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -1430?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -423838*h**2\/5 + 423918*h\/5 - 16 = 0.\nAnswer: 40\/211919, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 + 3*y**2 + 3*y + 25. Let p(o) = 2*o**3 + 5*o**2 + 9*o + 57. Let h(m) = 7*a(m) - 3*p(m). Give h(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -402.000606 - -402. What is q rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1713 = -5*f + 5*t + 34857, t = 5*f - 36594. List the prime factors of f.\nAnswer: 2, 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107 = 4*p + 4*j - 1, 5*j + 89 = 3*p. Let u = 33 - p. Suppose 0 = u*h - 3*d - 40, h = 6*d - d + 30. What is the remainder when 13 is divided by h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18113 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 281.8 - 255.8. Which is the closest to 1\/2? (a) z (b) 3 (c) -3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -87, -356, -805, -1434, -2243, -3232?\nAnswer: -4401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 3*s = 190 - 157, 5 = -5*l - 5*s for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 7 = -p, 7*p - 9*p + 3*x - 2 = 0. Let t be (-6)\/4*(-8)\/6. Solve -t*i = 3*i - p for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 850277*j. Let o(p) = -366*p**2. What is o(b(c))?\nAnswer: -264607377482814*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -86426*o**2 - 120*o - 24. Let t be c(16). Round t to the nearest one hundred thousand.\nAnswer: -22100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 4*x**5 - 55152*x**4 - 24*x**3 + 330880*x**2 + 441204*x + 165456 = 0.\nAnswer: -1, 3, 13788","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of -5*r + 11\/4*r**4 - 7\/3*r**3 + 0*r**2 + 0*r**5 - 68 + 1\/2*r**6. Find the third derivative of j(k) wrt k.\nAnswer: 180*k**2 + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5997781 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, -14, 2\/11, 1, 14?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - -4 - 5) + (26 - 31) + 51?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qc when two letters picked without replacement from {n: 1, d: 1, x: 1, c: 1, q: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 502 and 4?\nAnswer: 1004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11596 by 41516.\nAnswer: -2899\/10379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, w: 1, k: 1, l: 4, e: 3, t: 1}. What is prob of picking 1 e and 1 y?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -48*z**2 - 126*z - 69. Let s(q) = -q**3 + 2*q**2 + 7*q + 1. Let d(n) = -3*s(n) - x(n). Determine y so that d(y) = 0.\nAnswer: -11, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -113*l**3 - 3*l**2 - 2*l. Let f = -82 + 81. Let w be k(f). What is the greatest common divisor of 28 and w?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/48 and 7\/58.\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76 divided by -26.\nAnswer: 38\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -1, 31, -0.91?\nAnswer: -0.91","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1934276 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -14*w + 8. Suppose -2*y = -0*y - 8. Let f(b) = 2 - 5*b + y*b - 1 + 0. Let j(u) = -8*f(u) + i(u). Let d(g) = -2*g**2. Determine j(d(p)).\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (12 - (22 + -18)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/6 - (-2 - 4566\/18) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114\/(-16) - (-16)\/128?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxtt when four letters picked without replacement from nxtxt.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 134*i - 99*i - 34*i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 372 = 1773. Suppose 0 = 13*k - 8*k - r. Suppose -k = -5*v + 18*v. Sort v, -4, -5 in descending order.\nAnswer: -4, -5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94029711 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 115 divide 903318193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-110)\/(-2 + 0\/(-1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 5:31 AM?\nAnswer: 10:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-5)*-2 + 5952\/30. Suppose 0 = -3*t - 207 - l. Let b = 856 + t. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -106800 rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**5 - 77*c**4 + 297*c**3 - 367*c**2 + 146*c.\nAnswer: c*(c - 73)*(c - 2)*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(14\/56)\/((-1)\/4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuuuulhuuu. Give prob of sequence hllu.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = -z, 2851*l + 5*z = 2852*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/230? (a) 1 (b) 1\/4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -11*s**3 + s**2 - 3*s + 2. Let g be v(1). Let w = -9 - g. Suppose -5*d = n - 3, 6 - 18 = -w*d - 4*n. Solve d = -l - l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 641344114*a**3 - 457302861 with respect to a.\nAnswer: 1924032342*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c - 12 + 44 - 6)*(1 - 3 + 0 - 2 + 4 - 3 + (1 - 4 + 2)*(-2 + 4 - 1) + 2 - 3 + 2).\nAnswer: 3*c - 78","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1114646, 1114648, 1114650, 1114652, 1114654?\n\"Answer: 2*c + 1114644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of -1\/3*u**3 + 1\/2*u**2 + 25 + 8*u. What is d(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2\/7))**(-2)*(b\/(b\/b**(-9)))**(-49))**(12\/11) assuming b is positive.\nAnswer: b**(3372\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8816 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -0.2 (c) -498 (d) -1 (e) -2811 (f) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9012 + -2?\nAnswer: -9014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*j + 17 - 19 + 0*j.\nAnswer: -72*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1776 and 362736?\nAnswer: 13421232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*h**3 + 2*h**3 - 6*h**3)*(-6 - 1 + 2) - h**3 - 4*h + 4*h to v*h**2 + o*h**3 + n*h + r and give o.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of x**6\/90 - x**5\/120 - 2*x**3\/3 + 5. Let d(m) be the third derivative of l(m). What is the second derivative of d(r) wrt r?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 - 6*q - 9. Let a be z(8). Let u(g) = 11*g + 68. Let i be u(-6). Let s(v) = -23*v**2 - i + 35*v**2 + 7*v - 20*v**2 + v**3. What is s(a)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of -5*f**3\/6 + f**2\/2 + 14*f. What is n(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 5)*(-4 + 5 + 2)*(-3*w + 0*w + w).\nAnswer: -18*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sss when three letters picked without replacement from scsscscsssss?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of r**3\/3 - 7*r**2\/2 + 7*r + 3. What is the units digit of n(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10103330 - -22?\nAnswer: -10103303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -13*m - 16. What is the units digit of s(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b + 12. What is s(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 4) to base 3\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 157*j - 57. Let a(u) = 24*u**2. Give a(w(c)).\nAnswer: 591576*c**2 - 429552*c + 77976","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2*(1 + 0) + 6. Suppose -4*p + 64 = 4*q, -d*p + 5*q = p - 100. Suppose -13*i - 50 = -p*i. What is the remainder when i is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -33341106 + -4?\nAnswer: -33341113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 99*u - 6. Let s be w(5). Let h = 1018 - s. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 0.4747?\nAnswer: 1.8988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 + -27. Let s be (g\/(-20))\/(1\/5). Solve -5*j = -s*h, -2*h - h = -2*j + 9 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 4*x**3\/3 - 3076*x**2 + 1775620*x - 5317636\/3 = 0.\nAnswer: 1, 1153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of l**6\/24 + l**3\/3 + 6*l**2. Differentiate g(z) wrt z.\nAnswer: 15*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -130401331224 + 10?\nAnswer: -130401331214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 9:56 PM?\nAnswer: 8:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/4 + 6010445*q\/4 + 21036533\/2.\nAnswer: (q + 7)*(q + 6010438)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1719031 is divided by 143228.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 648 - 160. What is the greatest common divisor of n and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a kilometer in meters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(5*(1 + (sqrt(475) - (sqrt(475) + 0))*-3)**2 + ((-3*(sqrt(475) + 2))**2 - sqrt(475) - 6*(sqrt(475) + sqrt(475)*3)**2)).\nAnswer: -175*sqrt(19) + 41284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1161512?\nAnswer: 2, 11, 67, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/4)*l)\/l*l**(-1\/5)*(l**1)**(-11\/6))\/((l\/l**5*(l*l**(-2\/9))\/l)\/(l**2*(l\/(l**(5\/4)*l))\/l*l*l)) assuming l is positive.\nAnswer: l**(166\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of r**6\/120 + r**5\/30 - 13*r**4\/24 + 5*r**3\/3 - 2*r**2 - 28. Factor j(i).\nAnswer: (i - 2)*(i - 1)*(i + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -27, -2, 1909\/399?\nAnswer: 1909\/399","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0476 - 0.1476. Is 129\/5 at least as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -481 = -8*y - 497 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.013206 and -4?\nAnswer: 3.986794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (1 + 0)) + 6 + 0\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 446 - 177. Suppose 2*h + 4*m = 4*h - 544, h - 5*m - z = 0. What are the prime factors of h?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 AM and 2:37 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 87 + 282 = 0. Let j = -27 - f. What is the highest common divisor of j and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12132110 (base 7) to base 6\nAnswer: 35120345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ow when two letters picked without replacement from owgowcoooowwwwoww?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -2\/13, 255, -8, 249, -0.3?\nAnswer: 249","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 173\/42 and 173\/1800?\nAnswer: 12600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 39*n + 19. Is l(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -524*u**4 + 3*u**2 + 60413 wrt u.\nAnswer: -2096*u**3 + 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 300150 to the nearest integer?\nAnswer: 548","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 6:48 AM?\nAnswer: 11:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/10 + 70\/(-50). Let b be 3\/o - 1*-153. Let w be 2 - 26*(-1)\/2. What is the highest common factor of w and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 - z**2 + z - 1. Let f be v(-3). Suppose s - 4*d = f, 8*s + 5 = 3*s - 5*d. Suppose 0 = s*c - 151 - 163. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4107\/7 < 586?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 510*-1.04\nAnswer: -530.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 5*b - 4. Let q be b*9\/(-324)*(-18)\/2. Which is bigger: -1\/14 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 - 38 = -2*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 + 7*p**2 - 2*p - 22. Let z be n(6). Suppose -z = m + 2*m - 4*g, 4*m + g - 29 = 0. Which is the nearest to m? (a) 3\/7 (b) -1 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-33)\/(-12) - (-2)\/8. Suppose 7*j - 4*h = 2*j, 0 = 5*j - a*h. Suppose 5*v - v - 5*i = 33, 23 = -v - 5*i. Solve 0*r + v*r - 4 = j for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 65 + -33. Let o = -3 + 6. Suppose 41 = o*u - 10. What is the remainder when f is divided by u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 13, 1, 2, -2.5, -0.3?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16048, 32097, 48150, 64207, 80268?\nAnswer: 96333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 PM and 10:27 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 33880 a multiple of 121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.776572 years in decades?\nAnswer: 0.9776572","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1851114 * 0.5\nAnswer: -925557","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 3*q + 89. Give w(-16).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/218 - (0 + -1) - ((-102)\/(-78) - 1)?\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 22 = 2*p, -p - 96 = 3*p + 5*y. Let d = p + 48. What is the remainder when d is divided by 3\/((-68)\/40 + 2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 1347 = 3*c, 3*s + 4*c - 815 = -c. What is the least common multiple of s and 750?\nAnswer: 6750","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 48 - -7. Let i = 19 - r. Let u = 35.999995 + i. What is u rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -640408*v - 17043 = -640845*v for v.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-22)*h)\/h*h**31*h*(h**(-11\/5)\/h)\/(h\/h**(-9)))**(7\/2) assuming h is positive.\nAnswer: h**(-56\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + 6*b**2 - 3*b - 7. Let k be n(5). Let u = 39 - 37. Solve -u*t = k*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 186 at most 564?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0*h - h + 2*h)*(-4 - 3 + 5) + 5*h - 3*h - 4*h)*(1 + 4 - 4 - 4 + 1 + 0 + (2 - 4 + 1)*(0 + 1 - 2) + 7 - 2 - 3) as n*h + m and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -317 + 2214\/7. Let h = 2 + -3. Which is bigger: h or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*j**2 - 3*j**2 - 17*j**2 + 33*j**2.\nAnswer: 19*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mjjdmdjddd. What is prob of sequence dmjm?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that o**5\/4 + 53*o**4\/4 + 757*o**3\/4 + 2379*o**2\/4 + 837*o\/2 = 0.\nAnswer: -31, -18, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -3, 3\/2, -3\/4, -343?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35 is divided by 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 d when two letters picked without replacement from {d: 1, m: 6, b: 2, l: 1, r: 7}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 250 + -143. Suppose -l + 87 = 4*n + 4*l, -a = -4*n - l. What is the remainder when n is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of 16 - 5*l + 1\/2*l**2. Let f be r(8). Let k(a) = a**3 - 5*a**2 + 4*a - 3. Determine k(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/(sqrt(8) - sqrt(72)))\/(-4*sqrt(5)*2).\nAnswer: sqrt(3)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n**3 + 33 - 33 - n**3.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 4*z = -244. What are the prime factors of z?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -212 + 124004?\nAnswer: 123242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0\/(-7))\/(0 + -1). Suppose -u + 5*l + 144 = 2*u, -2*l = i. Is u a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -728843, -728773, -728655, -728489, -728275, -728013, -727703?\n\"Answer: 24*f**2 - 2*f - 728865","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 180 and 558?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g = -g + 2008. Suppose 0 = -h - 0*h - 5*b + g, b + 502 = 2*h. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22143263 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -717, -755, -863, -1077, -1433, -1967?\n\"Answer: -6*h**3 + h**2 + h - 713","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of 0*w - 4 - 3\/2*w**2. Let p(q) = -3*q. Give p(l(a)).\nAnswer: 9*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 9 - h - 15 - 37.\nAnswer: -h - 65","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 + 5*x**2 + 14*x - 2. Let z be k(7). Let m be 15 - -16 - 8\/z. Suppose 13*f = 8*f + m. Solve -f*o - 40 = 5*c - 2*o, 0 = -c + o + 2 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11426\/7 + 1632. What is the closest to -3 in y, -5, -0.5, 1\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 7, g: 1}. Give prob of picking 3 a and 1 g.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 4*d + 152, 0 = -3*q - 2*d + 55 + 34. Let t(l) = -4*l - l - 2 + 2*l. Let s be t(-5). Solve -5*m + s = q for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = 5*n + 11, 1 = -4*d + 13 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 PM and 12:12 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 41922809 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 124306399?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 854814 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (2 + 0 - 3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.12 - -0.2. Let c = 5.08 - h. Let z = c + -6. Put 0.4, 1\/6, z in decreasing order.\nAnswer: 0.4, 1\/6, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -222 take away -237.97437?\nAnswer: 15.97437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = -180*r + 177*r + 19, 0 = -4*y - 4*r - 12 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (7\/28*8)\/(1*-8)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 150, 302, 454, 606, 758, 910?\nAnswer: 1062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00044382362 to six decimal places.\nAnswer: 0.000444","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1711536 to the power of 1\/3, to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - o - 18 = 0. Suppose 3*h - 18 = -3. Solve -k - o = -2*i, i = k - 0*k + h for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -10*n**2. Let q(t) = 50*t - 25*t + 0*t + 166*t. Give q(k(r)).\nAnswer: -1910*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 0*k - 2*k - 2 - k + 2*k**2. Let o be r(3). Suppose -7*t - 55 + 202 = 0. Calculate the highest common divisor of t and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/943 and -89\/75440.\nAnswer: 75440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - o + 3*o**4 - 13*o - 17*o - 2*o**2 + 2*o**3 in the form b + v*o + n*o**4 + u*o**2 + d*o**3 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 949033?\nAnswer: 949033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23750, -94875, -213326, -379097, -592182, -852575?\nAnswer: -1160270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -119572 divided by -2\nAnswer: 59786","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (345\/(-1610))\/(6\/(-196)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*w = 11*w + 27 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -8*l**2 + 598*l - 618. Determine d(73).\nAnswer: 404","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-741)\/845*-25 + -26 - 4\/(5 - 1).\nAnswer: -66\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of -j**3\/3 - j**2\/2 + 3*j + 2. Let b be d(0). Solve 2*v - b*v + 2 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**3 + 528*h**2 - 6236*h + 5712.\nAnswer: -4*(h - 119)*(h - 12)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 303\/80 - (-6)\/15 and (-782)\/(-72) - 10\/(-45)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of -23*a**5\/15 + 61*a**4\/12 - 66*a**2. Find the second derivative of u(x) wrt x.\nAnswer: -184","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 244.76376 + -247.3637394. Let q = 2.6 + b. Round q to six dps.\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**8\/(y*(y*y\/y**(-3)*y*y*y)\/y)*((y\/(y*y*y*y\/(y*y\/(y*y\/(y**(-1\/4)*y*y)*y*y))*y))\/y*y)**(-5\/4) assuming y is positive.\nAnswer: y**(85\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 8 and -2373?\nAnswer: 2381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4988713?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 11*p. Suppose 5*h = 5*v - 4 - 1, 4 = -4*h. Suppose v = 2*k - 60 - 46. Let r(t) = k*t - 30*t - 27*t. Determine x(r(m)).\nAnswer: -44*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*m + 1355 + 383 = 0 for m.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17446143 to the nearest integer?\nAnswer: 4177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*((o*o**(-18))\/o)\/o*o*o*o*o**10\/o*o*o\/(o*o*o**(-4))*o*o**(-3\/7) assuming o is positive.\nAnswer: o**(-10\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*m = -29*m + 31*m + 336. Solve 128*a - 133*a = 5*w, -5*a + m = 3*w for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28336)\/(-69))\/(-56)*7\/((-56)\/12)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3768906 to the nearest integer?\nAnswer: 1941","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.4672505 rounded to three decimal places?\nAnswer: 7.467","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*k - 22*k - 12*k)*(-3 - 8 + 6) + (4*k - 2*k - k)*(4 - 3 + 1).\nAnswer: 287*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 56 divided by -8\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 145*i - 10997. Give u(76).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of -1\/9*i**4 + 0*i**3 + 1\/30*i**5 + i + 0*i**2 + 0. Find j such that b(j) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5902 or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2*(-2)\/12)\/(3\/(-27)). Solve -3*d - 6 = 0, -p*x - 4 = -2*d + d for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*b = -55*b - 50 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n**2 - 5*n - 4. Suppose -2*v + y + 3 = -0*v, 5*v = 3*y + 5. Determine r(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 + -20. Suppose c = -2*s - i*s + 6, -s - 52 = -5*c. Let a = c - 10. Solve a*q = -q - 4 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**2)\/f)\/f)**45*(f*f**7)\/((f**(4\/3)\/f)\/f)*(f\/f**(2\/3))**(-1)\/(f\/(f*f**(2\/11))*(f*f*f*f*(f**(-1)\/f)\/f*f)\/f*f*f) assuming f is positive.\nAnswer: f**(1667\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - 1 - 54\/(-9). Let g(r) = r - 4. Let w be g(c). Suppose w = -l + 6*l - 10. Solve -2*v = -0 + l for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 352 and 7060658?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1610527813.99999906 - -1610527714. Let s = d - -100. Round s to seven dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2465 (b) -0.5 (c) -2 (d) -2\/3 (e) -17 (f) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*27\/(459\/(-34)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 1\/10 (c) 8 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -61828700 to the nearest 1000000.\nAnswer: -62000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 5 = -7 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 7, 12, 0.\nAnswer: -1, 0, 4, 7, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -145\/33372 and 109\/972?\nAnswer: 100116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -117372 (base 9) to base 11\nAnswer: -493a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**4\/4 - 763*u**3\/2 - 12771*u**2 - 282293*u\/2 - 2075029\/4.\nAnswer: (u - 1559)*(u + 11)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 6 + -2 + -2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -692*p = -59*p + 320*p + 89582 for p.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1605 to the nearest ten.\nAnswer: -1610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 186345397 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -28895244, -28895246, -28895248?\n\"Answer: -2*g - 28895242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 times 0.2?\nAnswer: 43.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 266 - 266.001678. What is g rounded to four decimal places?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*i + 444533 - 20577 = 0. What are the prime factors of i?\nAnswer: 2, 13, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -113.9 + 106. Let n = p + 9. Let u = n + 1. What is u rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -216, -1941, -6510, -15309, -29724, -51141?\nAnswer: -80946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.000221404 rounded to 6 decimal places?\nAnswer: -0.000221","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 54 + 248*a - 982*a + 223*a + 248*a + 220*a as r + x*a and give x.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(208) + 2)*5*4*-2)**2 + ((-3*(-1 + sqrt(208)))**2 - 4*sqrt(208)*-2)*-1.\nAnswer: 25640*sqrt(13) + 337319","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tu when two letters picked without replacement from ddutttttudttttdttttd.\nAnswer: 13\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 15*r**2 + 7*r - 20. Let y be k(-7). Suppose m + 149 = 2*c - 295, -3*c + y = 3*m. Is 34 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (s - 2*s + 56 - 60)*(-2 + 2 - 1) in the form g + b*s and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -26 divided by 74\nAnswer: -13\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(2\/3))**33\/(n**(-6)*n\/(n\/(n**(-2)\/n))))**(-46) assuming n is positive.\nAnswer: n**(-920)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8806*t**5 - 13*t**4 + 8*t**3 - 24754479*t.\nAnswer: -176120*t**3 - 156*t**2 + 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -133 (base 14) in base 8?\nAnswer: -361","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-14)*d**(-1\/5)*d)\/(d\/(d\/(d**(-6)*d)))**(-10\/7))**31 assuming d is positive.\nAnswer: d**(-22072\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -104546*s**2 + 836568*s - 1600 = 0. Calculate s.\nAnswer: 100\/52273, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 24 (b) -1 (c) -38990 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.2 + -0.6. Let l = 49848 - 49843. What is the nearest to -1\/3 in l, -3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b - 4. Let q be s(4). Suppose q = -4*k + 3*u + 17, -3*k + 2*u = -0*k - 12. Solve 2*c = -k*c - 4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1804 smaller than -10829\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, 0.5, -1, 5, -800, -3 in increasing order.\nAnswer: -800, -3, -1, -2\/13, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 129 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 8 = t. Let p(l) = l**3 - 6*l**2 - 7*l + 3. Let n be p(t). Solve u**n + 48*u**3 - 14*u**2 - 24*u - 7*u**2 - 4 = 0 for u.\nAnswer: -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -457 = 17*o - 593 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -137687*-0.1.\nAnswer: 13768.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s + 23. What is the units digit of u(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from rvtvvsrfvavsvvavr.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/13 + 290\/26. Suppose 5*t - j*t = -78. Let p = t - -16. Is p a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*o - 3*y + 9, -16 = 5*o + 2*y - 29 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 326 (base 13) to base 5\nAnswer: 4124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4077709 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -123*c + 99*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8\/16)\/(21\/(-36)). Let l = 19\/14 + j. What is the second biggest value in 5\/2, -1\/5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*f = 1118282 + 3053382. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 5*y - 3101 = 0, -y - 4*y = -20. Let g = n + 1814. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-81)\/(-15))\/(-3)*(-380)\/(-304)?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11\/3521 or -1?\nAnswer: 11\/3521","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -464 - -273. Let j = -191 - u. What is the closest to j in 1\/3, 3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 159*(3 - 15\/9). What is the derivative of -108*g + b*g - 121*g - 26 wrt g?\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33911 is divided by 81.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 186 and 7130.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -b + 2. What is the units digit of 4\/2*(b - -1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f - 23 - 1 = 0. Which is the closest to -2\/5? (a) 0.3 (b) 1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/15 and -20\/267?\nAnswer: 1335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h. Let w be z(4). Let d = -5 - w. Solve d = t - 1 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((46\/7 - (42 - 36))\/(-4))\/((-6)\/(-21)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of 3*i**5\/140 + 5*i**4\/28 + 3*i**3\/14 - 27*i**2\/14 - 12*i. Solve y(j) = 0 for j.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 - -48. Is n a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13066 + -13061. Let i(p) = -p**2 - 5*p + 2. Let u be i(-5). Suppose -32 = -f + o, 86 = -f + 4*f + u*o. Calculate the highest common factor of z and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2299 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.14 - 116838472567350.\nAnswer: -116838472567349.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5050943, 5050944, 5050945, 5050946, 5050947?\nAnswer: 5050948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2874, -2887, -2902, -2919, -2938?\nAnswer: -2959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 0 - 3*n - 3 - 2*n + 0*n. Let b be (44\/(-4) + 5)*(-6)\/(-4). Let p(a) = -a - 1. What is b*p(q) + 2*h(q)?\nAnswer: -q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25660017*q**3 + 11442413*q**2.\nAnswer: -153960102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -34 + 35. Let p(c) = -2*c + 2. Let o be p(-3). Is (379 - o) + 2*w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -25 in -5, -7\/38, 2\/7, -0.5, -0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/112*-12*-4*3\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - 5. Let l be (-9)\/(3090\/(-824) - (-3)\/4). Is m at least as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113629917 to the power of 1\/5, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-70) - (-2)\/(-7). Let a = -151.3 - -142. Let u = -9 - a. What is the biggest value in -3, u, l?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -7429, -27988, -61677, -108496, -168445?\n\"Answer: -6565*i**2 - 864*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -17*l + 39. Let w(m) = -32*m + 78. Calculate 5*n(k) - 3*w(k).\nAnswer: 11*k - 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from seevx. What is prob of picking 1 s and 1 x?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o**3 - 4*o**2 + 2*o + 2. Give d(3).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*f - 191 + 196 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**3 + 3*v**3 + 3*v**3)*(-8 + 8 - 32*v).\nAnswer: -96*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 AM and 6:35 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 729 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 255*k - 48*k = 6248 + 28942. Does 172 = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/3)*n*n**(-14))**(1\/23) assuming n is positive.\nAnswer: n**(-37\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (1115634\/8 + 6)\/((-39)\/(-52)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/140 or -1\/3?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89 = -13*l - 37 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36\/67 - -4159\/134. Calculate the common denominator of 25\/12 and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2361, 13268 in ascending order.\nAnswer: -4, 2361, 13268","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 + 14*r**2 - 23*r - 116. Let u be -3 - 7\/21*(35 + 1). Let p be n(u). Solve 6*d = p*d - 6 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 21*x**4\/4 - 626655*x**3\/4 - 3336942*x**2 - 4076133*x - 895860 = 0. Calculate x.\nAnswer: -20, -1, -2\/7, 29862","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -813, -2367, -5399, -10647, -18849, -30743, -47067, -68559?\n\"Answer: -123*r**3 - r**2 - 690*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zerre. What is prob of sequence reze?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 490?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l - 3*l + 2*l + 11 + 4*l. Let n(r) = -r - 5. Let y(c) = 9*n(c) + 4*v(c). Suppose 5*g = 2*g - 3. Give y(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(78\/13*14\/98)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 8:22 AM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8225 by -6.\nAnswer: -8225\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 4. Let i(r) = 0*r**3 - 1 + 0*r**5 - r**5 + r + r**3. Let n(p) = -5*p**5 + 8*p**4 - 9*p**3 + 8*p**2 + p - 3. Let l(m) = b*n(m) + 3*i(m). Factor l(u).\nAnswer: 2*u*(u - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -5*p - 3, 4*p - 3*p = -3. Let v(j) = 7*j + 36*j**2 - 17*j**2 - 17*j**2 - 7. What is the remainder when v(q) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - -4. Let w(b) = b**3 - b + r*b**2 + b**2 - b**2 + 5*b. Give w(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of k**6\/90 - 2*k**3\/3 - 26*k**2. Let o(b) be the first derivative of r(b). Let t(j) = -5*j**2. Determine t(o(n)).\nAnswer: -80*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 34 + -15. Suppose -a - 2*f + 43 = 2*a, -4*a + 5*f + s = 0. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*j - 93*j + 201*j.\nAnswer: 37*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3120934447 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2\/3, -8, -0.01 in decreasing order.\nAnswer: -0.01, -2\/3, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77\/(-231)*66\/374.\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -13*m**2 + 7*m + 11. Let w(y) = -15*y**2 + 4*y + 13. Calculate 5*p(l) - 4*w(l).\nAnswer: -5*l**2 + 19*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 253317193 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -55*j*t**5 - j*t**2 + 3558758*j*t - 10*j - 751362*t**5 wrt t.\nAnswer: -3300*j*t**2 - 45081720*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 139434205 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 5*q**2 + 68*q - 69. Give k(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jmmmjjmjjmjmmjjmjmmm. Give prob of sequence jjmm.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-64)\/32)\/(3\/(-6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nggp when four letters picked without replacement from {k: 2, p: 1, n: 1, g: 2}?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 516\/420*(-14910)\/(-426)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 50 (base 9) to base 10\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 19*j + 18*j - 3.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c**3 - 5*c**2 - 3*c - 42. What is the units digit of x(10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*k - 457 = 11 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 19547756 divided by -2\nAnswer: -9773878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 36 - 36.02. What is the third biggest value in -3\/4, -2\/11, q?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 2*w**2 + 0 + (-2*w**2 + 2*w**2 - 2*w**2)*(1 - 4 + 1) - 5*w + w**2 + 5*w + w**2 + w**2 + w**2 in the form q + c*w + i*w**2 and give i.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -72.8?\nAnswer: -21.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 566243955?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 + 5*c**2 - 6. Let i = 1 + 0. Let j(k) = 3*k**2 + 2 - 4*k**2 + 0 - 1. Determine i*x(o) + 6*j(o).\nAnswer: -o**3 - o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y = 17*y - 942. Let r = y - 141. Calculate the greatest common divisor of 12 and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 0, 2\/7, -1, -2, -25, 14363?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 16 = 2*k, 4*x - 17 = -0*x - k. Suppose 0 = x*z + 5*z - 640. Let r = z + -5. What are the prime factors of r?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165*l + 758*l = -2383*l + 133*l + 193553 for l.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x**3 - 3*x**2 + 3*x. Let t = 1 + -5. Let n be 1\/(0 + t\/(-8)). Give s(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 3*v + 4. Let o(p) = -15*p - 31. Let c(z) = 3*o(z) + 12*r(z). Determine c(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 956 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2932 (base 10) in base 16?\nAnswer: -b74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10490293 bigger than 10490278?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k + 45. Let l be d(20). Suppose 3*t = -4*a - a + l, 3*t + 5 = a. Solve j + 2*j - 4*x + 3 = 0, -2*x = t for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 (base 13) in base 14?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -24*f**3 + 2*f**2 - 10*f - 6. Let s be l(-8). Suppose 4*t - s = -2282. Suppose x = -7*x + t. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 134010 and 145.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0419 - 44691?\nAnswer: -44691.0419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, 0, -3 in ascending order.\nAnswer: -3, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -3. What is the second derivative of c - 2*c + 3*c - 3*c - 2*c**v wrt c?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-10\/3)*z**(3\/5) assuming z is positive.\nAnswer: z**(-41\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 828401749 to the power of 1\/2, to the nearest integer?\nAnswer: 28782","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1237434767 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-145)\/29 + (-13)\/(-2). Let 0 + 3\/2*l**3 + 1\/2*l + 1\/2*l**4 + a*l**2 = 0. What is l?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/399 and 8\/2 - 1478\/(6 + (-7740)\/(-21)).\nAnswer: 9177","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1383382859 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 - -3 - (157 - 159).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1210020002 + 11?\nAnswer: -1210012221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 58756104 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**5 + 6*f**5 - 3*f**5 + (-2 + 2 + 2*f)*(-f**4 + f**4 - 2*f**4) + 0*f**5 + 4*f**5 - 6*f**5 - 144*f - 18307*f**2 + 6235*f**5 + 18307*f**2 + 144*f.\nAnswer: 6231*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 7, t: 2, g: 1, p: 4}. Give prob of sequence tth.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2\/7 + 2384464*n - 16691246\/7.\nAnswer: -2*(n - 8345623)*(n - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 7232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(475)*-4*-2 - ((sqrt(76) + -2)*4)**2.\nAnswer: -1280 + 168*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 8) + (12 - 14) + 6 - -6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18\/143 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26530364?\nAnswer: 2, 7, 61, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2\/5 - 1754*o\/5 + 21192\/5.\nAnswer: -(o - 12)*(o + 1766)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 841221331 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10281533.\nAnswer: 337, 30509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10814 - 10774. What is the least common multiple of 45 and w?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**7)\/p)\/p**(-15)*((p\/(p*p*p**(-1))*p)\/p)**(-15))**(-43) assuming p is positive.\nAnswer: p**(-946)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/74 and -17\/752062.\nAnswer: 752062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 12 + 9. What is the second derivative of 3*c**2 + 23*c**3 + 99*c - c**2 + 23*c - p*c - 9*c**3 - 2 wrt c?\nAnswer: 84*c + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1139 (base 16) to base 3\nAnswer: -20001022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 298098 is divided by 947.\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 556*p**2 + 1 - 1113*p**2 - 1 + 554*p**2.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1002001012012022 (base 3) to base 4.\nAnswer: 322320113330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence njs when three letters picked without replacement from neeosenkojnkokokee?\nAnswer: 1\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/v**(-1))\/v)\/(v**(-13)\/v))\/(v\/v**(-1\/35)*v*v\/(v**(-3)*v*v)) assuming v is positive.\nAnswer: v**(384\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 152, 4, -2, 48, 5, -12 in descending order.\nAnswer: 152, 48, 5, 4, -2, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -179\/126?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22702, 45431, 68188, 90979, 113810, 136687, 159616?\nAnswer: 182603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8956 and 99998218.\nAnswer: 4478","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 5*x - 12. Is ((-2)\/x)\/((-1)\/42) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5710211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.071 + 1.849. What is p rounded to one decimal place?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30.13 - 30. Let a = m + 4.87. Let f = -1793 - -1789. Sort a, f, 0, -4\/9 in decreasing order.\nAnswer: a, 0, -4\/9, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 0.2 (b) -2\/3 (c) 2\/9 (d) -64 (e) 33\/10 (f) -8 (g) -2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 - 15*c + 45. Let m be j(18). Suppose 14*l - m = -29. Solve -2*t = -i + 3*i + 12, -3*t - l*i - 26 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/3*2*(-2)\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(3\/20)*k\/(k\/(k*k**5*k)))\/(k**(-18)\/k*k*k**(-14)*k) assuming k is positive.\nAnswer: k**(763\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 1681000 to the nearest 100000.\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -63 - -42. Let i = m - -21.000039. Round i to 6 decimal places.\nAnswer: 0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 276655 a multiple of 213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -52*y - 54*y + 156*y - 57*y. Let u(h) be the second derivative of h**3 + 6*h. Give l(u(v)).\nAnswer: -42*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = -35*b + 198*b - 3320 for b.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6398979?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -616*g**2 - 484*g**2 - 14 - g**2 + 9 + 111*g**2.\nAnswer: -990*g**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 1) + 5 + (-2 - 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 27082 and 624?\nAnswer: 16899168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1513 and 4181487.\nAnswer: 71085279","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 117348120?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 3*j**3 - 5*j**2 - 5. Let v(a) = -8*a**3 + 12*a**2 + 12. Suppose 4*n = -4*i + 8*n + 172, 3*i - n - 127 = 0. Let w = i - 30. Give w*k(h) + 5*v(h).\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10220 (base 3) to base 6.\nAnswer: -253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b356b5 (base 14) to base 3.\nAnswer: -102101012001112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 40 + -15. Calculate the remainder when 3\/6*(r - -1) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -141445\/8 - -17651. Which is greater: n or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -36, -28, -18, -6, 8, 24?\n\"Answer: x**2 + 5*x - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2063\/355325 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = b - 3*b. Suppose -3*t + 15 = 2*p, 5*p - b*t - 12 = 14. Solve 3*c = -q - 6, -c = -3*q - 4*c - p for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4479 - 4523. What is the second biggest value in g, -13, 3?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2562 and 269698446.\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 39*g**3*w**2 - 15*g**3 - 3*g*w**2 + 417*g*w wrt g.\nAnswer: 234*g*w**2 - 90*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 55*z - 38*z - 17*z + 1596*z**2 to the form m + b*z**2 + k*z and give b.\nAnswer: 1596","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15531 and 64629?\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*a - 4*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 + 19*p**2 - 20*p + 40. Let o be c(18). Suppose 3*w + 2347 = 5*i + 4*w, 3*i + o*w - 1398 = 0. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -909 = -4*s - 3*w - 902, -3*w = -15 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 - 3*b**2 + 3*b - 9. Suppose -4*y + 27 - 1 = -3*r, -4*r + 7 = 3*y. Is 8 a factor of t(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qluaggalgqluuluqqql. What is prob of sequence aul?\nAnswer: 20\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1640 + 1681. Solve 17*o - p = 44 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0011828766 to four decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 559*932.2\nAnswer: 521099.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/(-2))\/(2\/(-24)). Let p be 20\/(-16)*106*q. Suppose 0*z + p = 3*z. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -8*r + 26. Let v(y) = -y + 3. Let j = -13 - -18. Suppose -3*l - 3*i = 156, 0*i = j*i. Give l*v(c) + 6*k(c).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006798662 rounded to 4 decimal places?\nAnswer: -0.0068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of 5*f**7\/3 - f**4\/3 - 2*f**3\/3 - 3*f - 6. Find the third derivative of w(s) wrt s.\nAnswer: 4200*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 522.4234cm to nanometers.\nAnswer: 5224234000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/50 and 157\/2250?\nAnswer: 2250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 201 divide 789991?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 79656018?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -483 - -452. Let i(m) = -m**2 - 37*m - 103. What is the tens digit of i(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**4\/17 + 48*m**3 - 6202*m**2\/17 - 79020*m\/17 - 72000\/17 = 0. What is m?\nAnswer: -6, -1, 15, 400","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by 50.\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (44*u**2 - 62*u**2 - 81*u**2)*(0*u - 2*u + 0*u).\nAnswer: 198*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 263443449\/26 and 10132440 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 10028696?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of -2 - 5\/2*f**2 + 0*f. Let u(d) = d**2 - 10*d - 2*d**2 + 10*d. Determine h(u(a)).\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 + 24 + 93*g**3.\nAnswer: 93*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -47.\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 11206 - -0.2?\nAnswer: 11206.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -260*k**3*z**2 - 8*k**2*z**2 - 2*k*z**2 wrt k.\nAnswer: -1560*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 298785, 1\/4, 0.2, -0.4, -0.3?\nAnswer: 298785","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 1252*w**2 + w + 7. Let g(a) = 1255*a**2 + a + 8. Give -6*g(y) + 7*l(y).\nAnswer: 1234*y**2 + y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2707?\nAnswer: 2707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 2*r - 10 = -2*u, 5*r = -2*u - 4. Let n(i) = i**2 - 13*i + 20. Let y be n(13). Suppose 0 = -v - 24 + y. Put v, -2, u in ascending order.\nAnswer: v, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of 5*k**8\/21 + 76*k**7\/21 + 529*k**6\/24 + 835*k**5\/12 + 3055*k**4\/24 + 845*k**3\/6 - 2*k**2 + 292. Factor b(o).\nAnswer: 5*(o + 1)**3*(4*o + 13)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.3572 - 0.3172. Which is the closest to -2\/3? (a) -3 (b) -0.01 (c) r (d) -3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62036.\nAnswer: 2, 13, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 16 - 12 + v in the form l*v + z and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**3\/7 - 28478*u**2\/7 - 64891888*u\/7 - 40637489632\/7 = 0 for u.\nAnswer: -11591, -1324","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 34117799 to the nearest integer?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-39 - -32) + 1 + 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 + 3*h + 12. Let j be i(5). Solve 0 = -g - j + 3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30 + -35. Let r = -9866 - -9863. Which is the biggest value? (a) p (b) 0.4 (c) r (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 710727 - c**2 + 2189273 + 0*c**3 - c - c**3. Suppose -2*i + b = 2*i - 5, 2*b + 10 = 3*i. Let f be n(i). Round f to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2831\/738 - 114\/41. Find the common denominator of 453\/10*(-1 + (-80)\/(-72)) and k.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(432) - (sqrt(432) + sqrt(432)*-1))*-2 + 5 + ((sqrt(432) + (sqrt(432) - (sqrt(432)*1 + sqrt(432))))*1 + sqrt(432))*3)**2.\nAnswer: 120*sqrt(3) + 457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 2440 = 5*b - 3753, -4*b + 4*y + 4940 = 0. What is the thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69057840251 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 172346?\nAnswer: 2, 17, 37, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -9 - (1 - (6 - 3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1845\/7 - -264. Suppose 0 = -3*x - 2 + 68. Let h be (x\/24 + -1)*-3. Which is the third biggest value? (a) h (b) y (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*1\/(-6)*2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 4*t - 0*t - 236, 2*t = 4. Suppose 7*a = 4*a + s. Calculate the remainder when a is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5\/(-10)*2)\/(-1). Let f = 1 + -1.1. Is f < v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*y = -85*y + 4944. Let k = -174 - y. Calculate the highest common factor of k and 351.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -e8e5 (base 15) to base 13\nAnswer: -19568","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4625, -4634, -4643?\n\"Answer: -9*t - 4616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.01, -1\/2, 3\/5, -8, 1, -4, -3\/2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -56 - 2555?\nAnswer: -2633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 14) to base 5\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 56121 and 1833286.\nAnswer: 5499858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s + 7. Let h = 7 + -13. Let p(o) be the first derivative of -o**2\/2 - 8*o - 36. Calculate h*p(r) - 7*x(r).\nAnswer: -r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 1 = 16*y, -3*t - 7*y + 3 - 17 = -12*y for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 5) in base 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32 + -8. Let z = -6 - i. What is the tens digit of (-654)\/z + 1\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/394092588 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(19) - (sqrt(19) - 3*sqrt(38)\/sqrt(2))) + (2*sqrt(152)*2)\/sqrt(8).\nAnswer: -2 + 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 3) to base 7\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*v = 28*v + m + 32, -5*m + 8 = 3*v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -1 - 1 - ((55 - 8) + -29 - 14)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w**2 + 3*w**2 + w**4 + (-w**3 + 3*w**3 + 0*w**3)*(0 + 2*w + 0) + w**4 - 3 + 3 + 3*w - 3*w - 3*w**4.\nAnswer: 3*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 2. Differentiate -4*j + j + 2 + d with respect to j.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2094.98 rounded to the nearest 100?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13660 and 290.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*r**3 + 55*r**3 - 113*r**3 + 123*r - 123*r.\nAnswer: 29*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in 19, -9, 63, 185?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 343 and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) - -4*2*sqrt(104))*-1)\/(3*-2*sqrt(200)) + -2.\nAnswer: -2 + 3*sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a milligram in micrograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 108113442, 216226887, 324340332, 432453777, 540567222?\n\"Answer: 108113445*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 750*a**2 + 201*a - 201. Let l be t(1). Calculate the highest common factor of l and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, r: 3, s: 3, b: 1, y: 1, v: 1}. Give prob of picking 1 s and 1 m.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1604 + 1596. Put 0, 0.3, -5, p in descending order.\nAnswer: 0.3, 0, -5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/18)\/((-10)\/(-12)*(-132)\/60)?\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g**2 + 4 - 4)*(-78 + 50 - 135).\nAnswer: 652*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 33 = -0*s - 2*s, -30 = -2*b + 4*s. Suppose x - 6*x + 15 = 0. Suppose 5*j - x*w - b = -3, -5*j = 2*w - 21. Solve -2 = -u + j*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l + 12. Let r be t(6). Let y(z) = r*z + 4 - 9 - 3*z + 2*z. Let i = 7 + -12. Give y(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = -5*g + 63, -2*o - 65*g - 41 = -68*g for o.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add 47979.41 and 0.3.\nAnswer: 47979.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 225 = -3*l. Let y be 2\/5 + (-72)\/l. Let k be 8\/6 + (-2)\/6. Sort k, y, 5.\nAnswer: k, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 132 - 75. Is 19 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 4, 6, 10, 16, 24?\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (-27 + ((-18)\/(-1))\/((-15)\/(-10))).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r + 47 - 3 = 0. Solve -r = 4*m - 3*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 + 22*f**2 - 58*f + 37. Let s be x(19). Suppose 0 = -5*t - t - s. What is the biggest value in t, -1\/5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11261.91 + 11230. What is j rounded to the nearest integer?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -63 divided by -15?\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6694 is divided by 695.\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -z - 212, -2*z + 3*a - 359 = -0*z. Let s = z + 358. Is s a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1 and 438?\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-2 + 0 + 4). Solve b = -f - 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 870 or 889?\nAnswer: 870","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 70 - 66. Suppose -4*f - l + 69 = 0, 3*f + l = 57 - 6. Suppose -b - f = -c*b. Is 5 greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1150023221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 600 = -2*m. Let z be (2 + -3)\/((-2)\/6). Suppose -z*j + 96 = -5*p - 40, -5*j + m = -3*p. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 401 is divided by (-31)\/(25 + -31 - -1*5)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 123*x**3 - 2*x**2 + 30*x - 51. Calculate l(3).\nAnswer: 3342","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*-2*1\/2. Let x = i - -3. Suppose x*m + 8 = 6*m. Solve -3*l - 2*n + 6 = m*n, 0 = -5*l - n - 7 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 - 4*n**2 + 2*n - 4. Let r be (-5)\/(-25) - 19\/(-5). Let u be h(r). Factor -2*m - 2*m**5 + 0*m**2 - u*m**2 + 2 + 29*m**4 + 4*m**3 - 27*m**4.\nAnswer: -2*(m - 1)**3*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 2. Is 7\/(z + (-1)\/2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -71, -137, -199, -257?\n\"Answer: 2*x**2 - 72*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.5 - -1.1. Suppose 2*u - 458 = -0*u. Let o = 2517\/11 - u. What is the second smallest value in a, 0, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2645625 divided by -249\nAnswer: -10625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.53 + -0.5300086. Round s to 6 decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122 is divided by 2783\/66 - (-3)\/(-18).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(1\/(-2)*2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -218.7 + 220.491. Let l = -0.229 - t. Let h = -0.02 - l. Which is the nearest to -1\/4? (a) h (b) -3 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 93\/124088?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7\/((-28)\/(-8))*1\/2. Let a = -13 - -8. Let t(f) = f**3 + 5*f**2 - 2*f - 5. Let x be t(a). Solve -3*l = -6*q + 4*q - 14, l = -x*q - b for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -158095*h**4 - 54718 wrt h.\nAnswer: -632380*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 8*m**3 - m**2 - m + 1. Determine f(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 750*h + 3*h**2 + 1 - 1073*h - 338*h in the form o + f*h**2 + q*h and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 93999 and 93999.\nAnswer: 93999","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10004, -24179, -58360, -92539, -126716, -160891?\nAnswer: -195064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 14332 (base 6) to base 2\nAnswer: 100011110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1414130737 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -6. What is the closest to i in -2, 0.4, -0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + 0. Solve -h*r - 34 = -9 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -33*w**5 - 16*w + 3 - 4*w + w**2 - 3 wrt w.\nAnswer: -1980*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 9 + 149 = 0. Suppose 2*u - w + 31 = 0. Solve b + u = 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 106830810 - 106830719.9999765. Let b = c + -90. Round b to six decimal places.\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 6*r**2 - 7*r - 2. Let m(n) = -2*n**2 + 2*n + 1. Let d(s) = -7*m(s) - 2*x(s). What is d(3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 50.76 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 - 7*c**2 + 17*c - 13. Let j be f(-9). Let r be (-312 - -4)\/j + 3. What is the highest common divisor of 20 and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (11 - (-63)\/(-8))) + (-3)\/(-1).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 149344385?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1939 = 8924*d - 96225 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10 by 12843825.\nAnswer: 2\/2568765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1480 by -1.\nAnswer: -1480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-13)\/(a**18\/a*a) assuming a is positive.\nAnswer: a**(-31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a century in months?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from auaaagaaaaa. What is prob of sequence ga?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 72*f**2 - 82*f**2 + 0.\nAnswer: -10*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 7, 21, 5 in ascending order.\nAnswer: 5, 7, 12, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4300?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/9887 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 1.59987?\nAnswer: -0.479961","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in 2, -0.2, -0.23017?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 145841947 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**3\/5 + 8*l**2 = 0. What is l?\nAnswer: -20, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that v**2\/2 + 119418*v + 7130329362 = 0.\nAnswer: -119418","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9*1 - (-6)\/(-6). Suppose w - x = -5. What is the second derivative of 5*z - z**w - 17*z**3 + 12*z - 5*z wrt z?\nAnswer: -108*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/3*(-323)\/((-297160)\/(-29256))?\nAnswer: 53\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 3*w + 7 = -4*a, -3*a + 5*w = -23*w + 81 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1684649531 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 - 1)*(0 + 2*x**4 + 0) - 2*x**4 - 3 + 3)*((-51*x + 10*x + 12*x)*(0 + 0 + 3) - 3*x + 0*x + x).\nAnswer: 356*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*r + 8 + 32. Let m = 216 + -144. What is the biggest value in m, 4, r?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 2*r - 14 = 0, 2*z + 5*r + 0 + 29 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 - 2*k + 1. Let s be l(1). Let t be (30\/6)\/(-5)*-5. Solve s*q - 20 = -t*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1+1305\nAnswer: 1304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4877645, -9755292, -14632939, -19510586?\nAnswer: -24388233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (25\/116 - 0)*-1. Let u = 1\/29 - m. Sort 0.2, -2, 5, u in increasing order.\nAnswer: -2, 0.2, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9504 + 632*m**3 - 9504)*(0 + 2 - 4 + (0 - 4 + 3)*(3 + 0 - 4) + 1 + 5 - 4 + 4 + 1 - 3 - 1 - 1 + 0).\nAnswer: 632*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.238830575 rounded to two decimal places?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -304a1b - -2d?\nAnswer: -3049ee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 5*z**3 - 10*z**2 + z - 5. Let c(u) = u**3 - 2*u**2 - u + 1. Let l(x) = 6*c(x) - f(x). Let o be (-33)\/(-7) + 4\/14. What is the tens digit of l(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 264 divided by 4.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 2524?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 2)*(-3 + 2 - 1)*(15*c**3 + 4*c**3 + 24*c**3).\nAnswer: -172*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 PM and 7:45 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-25414)\/3537)\/(2\/(-18))*51\/272*-8?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a milligram in micrograms?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*h = 92 + 72. Which is bigger: 114 or h?\nAnswer: 114","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/((-1920)\/(-50)))\/(-2*2\/32)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -174.\nAnswer: -1\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 450 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-738)\/12 - (-6762)\/(-644)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = h - 5 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 4*x - 2512 = -9912, 5562 = 3*a + 3*x. Solve a*v - 20 = 1848*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 9 = -r - 5*v, 3*v + 39 = 5*r. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1acb (base 15) in base 5?\nAnswer: 141231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1745335\/91 - 19180. Let p = 1325\/1001 - f. Find the common denominator of -53\/4 and p.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 214 is divided by 43?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 20111 - 6?\nAnswer: 20104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*a + 26332 = -28552 - 86290. What is the smallest common multiple of 15 and a?\nAnswer: 7590","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(2\/1) - 1. Let b(h) = h. Let r(v) = -4*v + 1. Suppose 0 = -162*m + 295 - 1267. Calculate m*b(g) + u*r(g).\nAnswer: 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/9*(-6)\/1. Solve 0 = 5*t + 15, 0*g + s*g + 2*t - 4 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3\/8, 9, -52, -1, -0.2?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 46*p + 63*p + 44*p + 94*p to f*p + g and give f.\nAnswer: 247","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a - a - 2*a)*(-4 - 1 + 2)*(3*a**2 + a**2 - 3*a**2).\nAnswer: 21*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1012313 (base 4) to base 2.\nAnswer: -1000110110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2790 + -2790.1499. Let j = 122.8499 + p. Round j to the nearest integer.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 + -28. Let a = -13 - u. Suppose n + 2*h - 5 = 0, -4*n + 2*h = -n + 9. Sort 4, n, a in descending order.\nAnswer: 4, a, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -27497247 or -27497248?\nAnswer: -27497247","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 6. Let m = -5 + 4. Is l != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 378702, 378771, 378894, 379077, 379326, 379647?\n\"Answer: n**3 + 21*n**2 - n + 378681","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 6 = -4*b, -5*b - 2 = -3*f - 8 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14612006 to the power of 1\/2, to the nearest integer?\nAnswer: 3823","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 10471*z + 460729. Calculate k(-44).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of -h**7\/840 + h**5\/60 - h**4\/6 - 5*h**3\/3 - 6. Let k(r) be the third derivative of v(r). Is 11 a factor of k(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 53\/4 of a millimeter?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.057787 rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 4*g**3 + 58220*g**2 + 203861788*g - 58657679628 = 0.\nAnswer: -7411, 267","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/4 of a millennium?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 PM and 4:43 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 5*a**2 + 17*a + 5. Let k(x) = -3*x**3 - 6*x**2 - 16*x - 6. Calculate -6*d(t) - 5*k(t).\nAnswer: 15*t**3 - 22*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 2 = 0, 3*a - 316*j + 13 = -320*j for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7595951 is divided by 91?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kdfvfd. Give prob of picking 2 f.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oofesouooseeoooe. Give prob of picking 3 o and 1 f.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 49, 63, 65, 49, 9, -61, -167, -315?\n\"Answer: -k**3 + 21*k + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-56)*-32 - -2. Let k be 2\/(-5) + (-36)\/(-165). Which is the third biggest value? (a) 7 (b) k (c) f (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1359.\nAnswer: 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 169 a factor of 195506?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k + 7*k - 2*k + 4*k + 0*k - 2*k + (0 - 1 + 0)*(0 + 0 + 2*k) + 4*k + 0*k - 3*k + 7*k - 2*k - 3*k + (3*k + k - 2*k)*(0 + 0 - 2).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20 - 13. Suppose 16 = n - 3*f, -3*n - 5*f + j - 29 = 0. What are the prime factors of n*3*13\/3?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 + -7. Let i = 2.99999972 - l. What is i rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11221022211 + 0?\nAnswer: 11221022211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2440 = -u, 2*d - 4*u - 5712 = -850. What is the remainder when d is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2. Let a(d) be the third derivative of -d**6\/40 + d**5\/20 - d**3\/6 - 263*d**2 + 2*d - 4. Give a(w) - 3*f(w).\nAnswer: -3*w**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -7. Calculate the remainder when 9 is divided by o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 3:21 PM?\nAnswer: 8:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 859 + -857. Solve -2*y + 2 = -s for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (20 - 17) + 6\/4*2. Suppose -2*w = 0, 2*h + h - 3*w + 27 = 0. Let o = -3 - h. What is the highest common divisor of o and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16434 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/206 greater than 112.476?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*f - 1687 = -25*f + 2728 + 29 for f.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 16*i - 4. Calculate f(-3).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31122 (base 6) to base 12.\nAnswer: 24a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 5*u - 2. Let j(a) = 1 + 4*a - 18*a + 5. Suppose 3*v = 3*c - 45, 2*c - 2 = -5*v - 0*v. What is c*s(x) + 4*j(x)?\nAnswer: -x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12377687 by 12377687.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3892, 7798, 11704, 15610?\n\"Answer: 3906*t - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-1) + (90\/(-15) - -2). Let w(u) = u**2 - 5*u + 5. Let f(k) = 2*k**2 - 8*k + 8. What is g*w(s) + 5*f(s)?\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 957740 and 980.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 562?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 16, 14, 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 PM and 12:11 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyohytyqyssyyyyhhohq. What is prob of sequence yy?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4344*u + 4410*u + 1848 for u.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.03 + 0.03. Let d = o + 3. Let w = 0 - 1\/3. Put w, 2\/11, d in decreasing order.\nAnswer: 2\/11, w, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11 and -18094358?\nAnswer: -199037938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -39, -160, -321, -480, -595, -624, -525, -256?\n\"Answer: 7*q**3 - 62*q**2 + 16*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19 - (-4 - -3)) + (-27 - -27).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90 divided by 4.\nAnswer: 45\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 35 + -38. Sort s, -5, 0 in ascending order.\nAnswer: -5, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -21 - (-36 - (-5 + -14) - -26)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppgnxxppmmmxmxx. What is prob of sequence gx?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -215 - -455. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of 2*c**6\/3 - 19*c**4\/4 - 90*c**3 + 219. Find the third derivative of x(p) wrt p.\nAnswer: 240*p**2 - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-656)\/(-410))\/(1\/5*1). Let i = 32 - 12. What is the greatest common factor of b and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - (-2 + 1))*-2. Suppose x*b - 59 = 311. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.5, -445165, 1\/5, 0, -2, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 2*c = 7*c - 860, -5*o - 4*c = -855. What are the prime factors of o?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 4*o - 20 = 0. Let q be -5 + 4 + (-1)\/(-2)*6. Solve -d = -0*d + 5*r + 20, 0 = o*d + q*r - 10 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1652716 - 40773008. Let o = f + 42425724.21300113. Let p = o - 0.213. Round p to 7 dps.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 - -19. Let l be (-21)\/(-6) - (-5)\/10. Let w = h - l. Solve w = 3*q - 5*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22449928909 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -58*n**3 + 3*n - 3*n + 1 - n**2 + 57*n**3. Let i(u) = u**3 - u**2 - u - 1. Let v be i(0). Let l be k(v). Sort -5, l, -3 in decreasing order.\nAnswer: l, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llgl when four letters picked without replacement from {g: 1, l: 18}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 45. Let i = v + -31. Calculate the remainder when 17 is divided by 4\/(-6) + i\/3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9775*k**2*t**2 - 1017*k**2*t - 559*k*t + 2106*t**2 wrt t?\nAnswer: -19550*k**2 + 4212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1250553 + -14230?\nAnswer: 1232323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 25561 a multiple of 109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2170331730.\nAnswer: 2, 3, 5, 7, 3444971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**3\/2 + 21*x**2\/2 + 36*x + 34 = 0 for x.\nAnswer: -17, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0007697 rounded to 4 dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63 is divided by 45?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1625, -1639, -1673, -1739, -1849, -2015, -2249?\n\"Answer: -2*s**3 + 2*s**2 - 6*s - 1619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 0 + 20 + (-12 - 4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 451886?\nAnswer: 2, 225943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.24, -3, -0.5, 5, 3 in ascending order.\nAnswer: -3, -0.5, 2.24, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*t*x**6 + 13*t*x**3 - 2*t + 8*x**6 + 151*x**2 wrt x.\nAnswer: 360*t*x**3 + 78*t + 960*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence il when two letters picked without replacement from ilbccnm.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 15, -20\/3, 3, -8, -0.2, -9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/(-2))\/(3\/(-66)). Let c = -7 - b. What is the derivative of -10 - c*u**3 + u - u + 8 wrt u?\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1136\/20*1 + 24\/(-30). What is the greatest common factor of z and 728?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a minute in seconds?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*b - 24*b + 8*b + 315 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 384252420 rounded to the nearest 100000?\nAnswer: 384300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 - 52. Let t = -54542 - -54540. Which is the closest to t? (a) 2 (b) 2\/9 (c) -3\/8 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2768.0595 to the nearest integer.\nAnswer: -2768","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 3*l**2 - 42*l + 61. Let n be y(13). Suppose 32 = 5*b + n. Solve -2 = 4*m - 22, -2*r = -b*m + 10 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a microgram in nanograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/25020 and 1\/25020.\nAnswer: 25020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 234483687 a multiple of 353?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/6039 and 43\/85092.\nAnswer: 171290196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -33, 19, 153, 375, 691, 1107?\n\"Answer: s**3 + 35*s**2 - 60*s - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9583.93 nanoseconds in microseconds?\nAnswer: 9.58393","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-one halves of a litre?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = 5*g + 21, -5*j - 24*g + 25*g - 7 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*d + 18*d = 3*g - 48, -5*g = d for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-33)*(0 + -1 - 0)\/(-1)\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00095609605 to five decimal places.\nAnswer: -0.00096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6588 (base 16) to base 13.\nAnswer: baa5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14*s + 15*s - 4*s)*(-1 - 1 + 3) - 3*s - 2*s + 3*s in the form u + m*s and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 3*g**2 + 12*g + 352. What is the units digit of f(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -65039*k**3 - 66011?\nAnswer: -195117*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of w**7\/105 - w**6\/60 - w**5\/10 + w**4\/12 + 2*w**3\/3 - 8*w**2 - 15*w. Let b(k) be the first derivative of r(k). Factor b(q).\nAnswer: 2*(q - 2)*(q - 1)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 221, 1\/3 in descending order.\nAnswer: 221, 11, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*q - 21*q = 100560. Is 16 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of -f**3\/6 + 5*f**2 - 16*f. Calculate the smallest common multiple of w(-5) and 3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -3*b - 2. Suppose 2*z = 14 - 0. Let p(u) = 7 + z*u - 2*u + u - 2. Let h(s) = 5*k(s) + 2*p(s). Calculate h(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 18, z: 1}. What is prob of sequence bb?\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 983 - (1 - (1 + -8)). Let a = g + -680. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*w**5 + 10640*w**4 - 4345905*w**3 - 1477438990*w**2 + 5978610760*w = 0. What is w?\nAnswer: -218, 0, 4, 1171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 39925 to the power of 1\/2, to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -53102 (base 12) in base 14?\nAnswer: -2ba26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72\/8 + (-126)\/14?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 21. Suppose -4*n - 3*z = -n - g, 0 = 4*z - 8. Solve n*f = 5*b - b + 9, -4*b - 2 = 2*f for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*m + 73277 = 64997 for m.\nAnswer: -138","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -920991 by -144.\nAnswer: 306997\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 466 divide 140266?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9a8 + -15?\nAnswer: -9bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10*(-10)\/(-900)*-3*11.\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.05*84717\nAnswer: -4235.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*s + b - 8, -2*s - 2 = 5*b. Solve -s*o - 16 = 0, 0*a + 3*a - 1 = -2*o for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/5)\/(1\/10). Is -8*(1 + 1 + y) a multiple of 16?\nAnswer: True","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 aavnaannppaa?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.66*-7753\nAnswer: -5116.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(228)\/sqrt(192) - -5*sqrt(38)\/sqrt(2))*-6)**2.\nAnswer: 75411\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-84)*-6*(-5)\/(5\/(-1)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-360)\/(-81) - 4 - 15\/(-27).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 7*x**2. Let c(m) = 5*m**2 - 90*m + 49. Let r(i) = 7*i**2 - 144*i + 74. Let k(s) = 8*c(s) - 5*r(s). What is h(k(n))?\nAnswer: 175*n**4 + 1540*n**2 + 3388","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 3097, -98, -25, -5 in ascending order.\nAnswer: -98, -25, -5, 3097","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -187 (b) 0.3 (c) -0.5 (d) -119\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -4\/3*l**3 + 64\/3*l**2 + 24 + 140\/3*l = 0. Calculate l.\nAnswer: -1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11370 + 16677. What is the tens digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eighteen fifths of a millennium?\nAnswer: 43200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 PM and 12:16 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 187992110 and 1840?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from occcconi?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 15000\/(-288) - 4\/(-48). Which is smaller: -258\/5 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -392*i - 293. Let r be n(-2). Solve r*a + 9 = 488*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 147*z**2 - 17*z**2 + 125*z**2 - 222*z**2 + 410*z**2.\nAnswer: 443*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6258980 = -91*v - 273*v. What are the prime factors of v?\nAnswer: 5, 19, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 divided by 131.\nAnswer: 30\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 5*f**4 + 1815*f**3 + 41840*f**2 - 138300*f + 94640 = 0?\nAnswer: -338, -28, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f + 2. Let k be s(3). Suppose -2*a = -k*a + 1740. Round a to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -184 times -7.93\nAnswer: 1459.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 828764734 to the nearest integer?\nAnswer: 28788","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.395759 to 0 decimal places.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 582 divide 288907128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6*(-5)\/(-15) + 2. Let a(h) = 11*h**2 - 8*h + 3. Is 21 a factor of a(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -50 + 52. Put 5, -1, w in increasing order.\nAnswer: -1, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = -u - 13, -5*u - 136 + 48 = -2*i - 23 for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.05 < -77.9925?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 5416*f**4 + 11*f**3 + 1243*f**2 + 11*f - 209. Let b(g) = -g**4 + g**3 + g - 19. Let v(t) = 22*b(t) - 2*o(t). Find the third derivative of v(z) wrt z.\nAnswer: -260496*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 3 and -44.59273.\nAnswer: -41.59273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 684?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -48 + 37. Let r(t) = 3*t**2 - 4*t + 4. Let g(k) = 8*k**2 - 11*k + 11. Let l(i) = p*r(i) + 4*g(i). Let n(u) = -255*u. Determine l(n(s)).\nAnswer: -65025*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -44, -4, 259, 5 in descending order.\nAnswer: 259, 5, 2, -4, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -6370, -6399, -6430, -6463, -6498, -6535, -6574?\n\"Answer: -j**2 - 26*j - 6343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6 (b) 3\/7 (c) -504 (d) -2 (e) 2 (f) 0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 - 24\/(-4) - 3. Which is smaller: n or -0.89?\nAnswer: -0.89","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m - 10. Let r be w(13). Suppose -6 + 2 = b + r*u, 0 = -2*b + 4*u + 32. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of -q**8\/1680 + 3*q**7\/350 - q**6\/200 - 197*q**5\/300 + 29*q**4\/5 - 24*q**3 - 142*q**2. Suppose s(y) = 0. Calculate y.\nAnswer: -5, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 81674 and 3352?\nAnswer: 136885624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 + 38*s + 66. Let b(f) = 3*f + 28. Let r be b(-22). Let d be c(r). What is the highest common factor of d and 132?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -134 + 134 - 18*b**2 + (-2 + 2 + 2*b)*(4*b - 4*b - b) - 3*b + 3*b - 2*b**2.\nAnswer: -22*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3095.5 + 3095.646783. Round d to 2 dps.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z + 9. Let x be (174\/29)\/((-6)\/(-8)). Determine c(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 3318*c - 112671. Calculate g(34).\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 2932 = -3*u. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6 - 54\/(-4))*(-4036)\/(-6). Is (-4 - -5)\/(2\/(-3 + s)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - -24021?\nAnswer: 24015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1637507045*j**2 + 2171640*j - 720.\nAnswer: -5*(18097*j - 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10401477?\nAnswer: 3, 37, 83, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -4*z**3 + 12*z**2 + 292*z - 1260 = 0.\nAnswer: -9, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 25 = 6. Let w(k) be the first derivative of 15*k**5 - 23*k - 22 + m*k**5 - 39*k**5. What is the first derivative of w(i) wrt i?\nAnswer: -100*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(17\/2)*b)**(-13) assuming b is positive.\nAnswer: b**(-247\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -3*(sqrt(180) - 2*sqrt(180)).\nAnswer: 5 + 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w - 1. Let u(f) be the second derivative of -2*f**3\/3 - f**2\/2 - 36*f. Give -3*l(t) + u(t).\nAnswer: -t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*h = -10 + 31 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25 + 27. Let d(i) = 4*i**2 + 0*i**m - i**2. Let h(f) = -7*f**2. What is h(d(p))?\nAnswer: -63*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -7, 5, -8, -1, 2 in decreasing order.\nAnswer: 7, 5, 2, -1, -7, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 855*c + 92. Let s(z) = 428*z + 45. Let w(r) = 3*l(r) - 7*s(r). Is w(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -24, -0.2, -2.98?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, r: 2, g: 6, z: 3, u: 1, t: 1}. Give prob of sequence tt.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 389062?\nAnswer: 2, 17, 11443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**5\/4 - 1325*y**4\/4 + 9043*y**3\/4 + 240897*y**2\/4 + 97983*y - 160137 = 0. Calculate y.\nAnswer: -9, -3, 1, 18, 1318","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 - -41. Let f = y + -19.5. Round f to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2376093 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 176839.\nAnswer: 13, 61, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + 8)\/(117\/585). Solve -4*q - y = -20 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3644 a factor of 55331294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 943230112 to the power of 1\/6, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000007411694 to seven decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 - 7*i**2 + 6*i + 5. Let l be r(5). Let x(c) = -2*c + 15. What are the prime factors of x(l)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -645 - -966. Let c = 380 - f. Which is greater: 61 or c?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 4215 = -13211. Let t = i - -3340. Does 24 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 1 = 8. Let g = r - -11. Suppose 0 = 6*s - g*s. Solve s = 5*u - 2*j - 20, 3*u + u - 16 = 3*j for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 - 554 = 6*c. Let o be (36\/21)\/((-8)\/c). What are the prime factors of o - (1 - (4 - 2))?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 198 - 181. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 - 15*q - 20. Let x be u(-13). Suppose 3*t + 9 = x*t. Let b = t + 17. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29416931.\nAnswer: 23, 1278997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 973 is divided by 33?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -35*-351\nAnswer: 12285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(136))\/((sqrt(18)\/sqrt(3))\/sqrt(3)).\nAnswer: 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 7*j + 19. Let a(x) = 4*x + 10. Let c(u) = 11*a(u) - 6*i(u). Let g be c(5). Calculate the highest common factor of 54 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27722?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 - 6295*b - 215186. Give v(-34).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = -15 - 1, -2*i - 2*g - 12 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 124\/(-15) + (-353)\/5295 + 19.\nAnswer: 32\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 216958014 divided by 6.\nAnswer: 36159669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/16*2)\/(270\/(-480))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 34476752 and 2440832.\nAnswer: 275814016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -33\/7, -2, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of k**5\/150 - k**4\/5 + 9*k**3\/5 + 19*k**2\/2 - 4*k - 40. Let n(o) be the second derivative of a(o). Factor n(r).\nAnswer: 2*(r - 9)*(r - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 216 - ((-36)\/(-6) - 4). Suppose -26 = -5*d + m. Does 7 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 622 - 649.8. Let y = 27.6 + g. Let t(r) = r**3 + 3*r**2 + 4*r + 2. Let z be t(-2). Which is the nearest to y? (a) z (b) -0.03 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -23898*l**2 + 2*l**3 + 20 + 24005*l**2 - 17*l**3 - 164*l.\nAnswer: -(l - 5)*(l - 2)*(15*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.11 - -1.1022. What is x rounded to three dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3\/2 + 57359*a**2\/2 - 411299876*a + 1233641526.\nAnswer: -(a - 28678)**2*(a - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 65*h**2*j**2*n**2 - 197664*h**2*n**2 + 2*h**2 + 4136*j**2*n + 2*n**2 wrt j?\nAnswer: 130*h**2*j*n**2 + 8272*j*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 3*q = -4*q. Let o be -2*(-13 - -5)*(1 + q). Let b(r) = 8*r**2 + o*r + r**3 - 30*r + 20*r. Give b(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -143763, 1, 2, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10\/11 or 0.1389?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 4*i = -4, -2*i + 10 = 5*v + 2*i. Find the third derivative of -5*s**3 + 7*s**3 - 2*s**3 + 7*s**v - 10*s**5 wrt s.\nAnswer: -600*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -2*(sqrt(8)\/sqrt(4))**2 + 0 + 1 + (2*sqrt(384))\/(sqrt(9)\/sqrt(3)*1))*-3.\nAnswer: -48*sqrt(2) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 230*s**3 + 925*s**2 + 710*s + 15 = 0.\nAnswer: -3, -1, -1\/46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2014 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 24*r + 725. Calculate the remainder when 29 is divided by r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + 8265\/1007 + -9. Which is smaller: y or -1\/2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-1\/17)*b**(-1\/4)\/b*b*b*(b*(b\/(b*b**(13\/5)*b))\/b)\/((b\/b**30*b)\/b) assuming b is positive.\nAnswer: b**(8871\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4226609 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of -3\/2*w**4 + 0 + 18*w**3 + 1\/20*w**5 - 9*w**2 + 0*w. Factor b(a).\nAnswer: 3*(a - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/1 + 0 - 5. Calculate the common denominator of (62\/w)\/(4\/6) and -45.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -6*t**3 + 4*t**2 + 5*t. Suppose -2*d - 15 = d. Suppose 8 = 5*c - 12. Let w(v) = -5*v**2 - v + c*v**2 + v**3 + 0*v**2. Determine d*w(k) - n(k).\nAnswer: k**3 + k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 114*5190\/(-3633)*(-28)\/(-48)\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -98*z**5 + 252*z**4 + 272*z**3 - 992*z**2 + 480*z - 64 = 0.\nAnswer: -2, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 + 4*c - 1. Let t be k(3). Suppose 0 = z + t*z - 15. Suppose 0*m + 6 = z*r - 2*m, -r - 5*m = -12. Solve l + 4*q - 8 = 2*l, -r = -4*l - q for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 3 + 9. Let p be (-4 - -2)\/(l\/18). Let a = p + 0. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45872921?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 - 5*i - 8. Let s(o) = o**3 - 4*o**2 - 4*o + 2. Let p be s(5). What is the smallest common multiple of c(p) and 5?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/550186 and -71\/260.\nAnswer: 5501860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 13 = 2*p + 2*q, q = -5*p + 87. Find the common denominator of -47\/2 and 1 - 1 - p\/(-10).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 685?\nAnswer: 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 49 and 2131009853.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26 - -26.5. Which is the biggest value? (a) 3 (b) 5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -170 * 6.\nAnswer: -1020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + -62?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -236.2 - -211. What is r rounded to the nearest integer?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/2272 and 59\/36487752?\nAnswer: 145951008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 163 divide 12535?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (2*(-2)\/11)\/(206\/(-5665))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + i - 8 = 0. Let v = 1 + i. 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 second derivative of 34*p**2*q - 14067394*p**2 - 2165*p*q + 110669 wrt p?\nAnswer: 68*q - 28134788","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -18*v - 12. Let c be o(-3). Suppose 6*f - c - 42 = 0. Solve -5*i + f + 6 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.6 in -2, -0.361, 2\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77596.66 centuries to months.\nAnswer: 93115992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-30417)\/(-5)*(-370)\/(-111) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of 49\/3*x**3 + 20*x + 0 + 0*x**2 + 3\/4*x**4. What is the second derivative of m(u) wrt u?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -h, -2*o - 30 = -4*h + 8*h. What is the units digit of (-6 + 189\/9)\/((-1)\/h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/2)\/(-120 + (-1030820)\/(-8584))?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12412269043 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 2908.5 to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 57732 minus -7.08157?\nAnswer: 57739.08157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-1\/11))\/t)**31 assuming t is positive.\nAnswer: t**(-31\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 56*o**2*p**2 - 578*o**2*p - 3*o**2 - 30*o*p**2 - o*p - 419*p**2 - 38 wrt p.\nAnswer: 112*o**2 - 60*o - 838","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/((-1012)\/23)*22?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 92*f**3 - 12*f**2 - 19*f - 1. Calculate a(-2).\nAnswer: -747","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of 0*k - 13\/12*k**4 + 0 + k**2 + 7\/6*k**3. Is n(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 39 - 0. Suppose 6*k - 63 - h = 0. Let x = -4 + k. What is the remainder when 37 is divided by x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-11)*d)\/((d\/d**(-5\/9))\/d)*d*d*d**(-1\/19)*d*d\/((d*d\/d**(-1\/3)*d)\/d)*d assuming d is positive.\nAnswer: d**(-1187\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 37*v. Let k(z) be the first derivative of z**6\/180 - 13*z**3\/3 + 1. Let b(i) be the third derivative of k(i). Determine b(u(s)).\nAnswer: 2738*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 3*m**2\/2 - 1272309*m - 7633908 = 0.\nAnswer: -6, 848212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -15*f - 6. Let l be i(-5). Let o(j) = -69*j + l*j - 14*j**2. Let p(x) be the second derivative of x**4\/6 - x. Calculate p(o(b)).\nAnswer: 392*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 166320 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125 = 2*f + 3*f - 5*u, -2*f = -4*u - 60. Let c = f - 18. Suppose -c = -2*j - 12. Which is smaller: j or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 4700?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -53 + 23. Let i = 57 + k. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 78369?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 84 and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/7? (a) 1\/4 (b) 1 (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 2:00 AM?\nAnswer: 2:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -221*k**3 - k**2 + 112.\nAnswer: -1326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 199 + 108. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 855805 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2519352418.\nAnswer: 2, 11, 114516019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 2*b + 6*b = 51, 69 = 3*i - 2*b. Solve 13 + 2*z**3 + 2*z**4 + 8 - i = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 - 5*s - 5. Let z(w) = -w**2 - w + 1. Let o(t) = x(t) - 2*z(t). What is the least common multiple of o(6) and 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z**3 - 4*z**2 + 3*z - 1. Suppose 0 = -6*a + 5*a + 12. Let l be (3*-1)\/(a\/(-8)). Give p(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*f = -335206 + 104416. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(243)*-2*-1 + -4 + sqrt(243) + -1.\nAnswer: -5 + 27*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 52 and 481.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/305?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 7 + 50*t - t**2 - 83*t + 28*t. Suppose 4*s - 25 = -r - 3, -4*s = 5*r - 30. Let m(l) = -l**3 + 6*l**2 - 6*l. Let b be m(s). Determine o(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4.62 equal to 0.034897?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11004350.\nAnswer: 2, 5, 7, 23, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.07 + 4.93. What is the smallest value in -0.4, i, -0.09?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvrrvvrrvvv. Give prob of sequence vvvv.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 180 and 4716.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64 + 33 + 31 + 25*v**2.\nAnswer: 25*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 2. Suppose 2*a - 5*a - 21 = q. Which is greater: a or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2046.3 + -1832. Let j = 214 - q. Let i = -0.7 + 0.8. Sort 0.5, j, -1\/4, i in increasing order.\nAnswer: j, -1\/4, i, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -12*j**2 + 28*j + 301. What is w(-5)?\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4352, -16701, -37050, -65399, -101748, -146097?\nAnswer: -198446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 - -13. Let p = 1.3 + b. Is p equal to -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of v**5\/20 - 2*v**4 - v**3\/3 + 16*v**2 - 1383*v. What is c(24)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + 17. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -8*p**2 + 9*p - 9. Let z(x) = x**2 - x + 1. Let o(q) = -2*h(q) - 18*z(q). Let c(b) = 5*b - 3. Determine o(c(u)).\nAnswer: -50*u**2 + 60*u - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 - 10. Suppose 0*a - 5 = -q*i + a, 3*i - 40 = -5*a. Is -1 < i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21389 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 9*c. Let l(y) = -9*y. Let x = -212 + 216. Determine x*j(p) + 3*l(p).\nAnswer: 9*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-3)*(-20)\/(-100)*1*(-72)\/(-324)?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 112 and 1350.\nAnswer: 75600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 6:30 AM?\nAnswer: 11:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2549792?\nAnswer: 2, 7, 11383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a gram in milligrams?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -367, -534, -739, -988, -1287, -1642?\n\"Answer: -c**3 - 13*c**2 - 121*c - 232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u**2 - 7*u - 5 + 7*u.\nAnswer: -4*u**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, t: 17}. What is prob of picking 3 t?\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 2:32 PM?\nAnswer: 1:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p - 91*p - 6*p)*(4 - 3 - 2).\nAnswer: 98*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 less than 0.13?\nAnswer: -525.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.065287 rounded to 2 decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - -25) + (-1 - 4) + -10 - 2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/214 and -59\/460936.\nAnswer: 49320152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 5\/3 (b) -2 (c) 284988\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 12.3551*-3\nAnswer: -37.0653","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000001101011 + -11000111001?\nAnswer: -1011010100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 224422333423 + 10?\nAnswer: 224422333433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*q - 20*q + 7*q + 7*q.\nAnswer: -30*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**5\/11 - 20*t**4\/11 - 80*t**3\/11 - 160*t**2\/11 - 160*t\/11 - 64\/11.\nAnswer: -2*(t + 2)**5\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 3*l = -156, -3*l + 220 = -0*a + 5*a. Let d = -22 + a. Calculate the greatest common divisor of d and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 90 + -296. Let c = 302 + r. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 54828 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.02, 3, -4, 1\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 148042180 by 481.\nAnswer: 307780","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 1610 divide 426650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*u**3 + 308*u**2 + 3040*u + 1444.\nAnswer: 4*(u + 19)**2*(2*u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7 - ((-93)\/62)\/(6\/(-16)). Solve 0 = x - 0*x, 0 = 3*f + b*x + 6 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 158. Let q(o) = o + 140. Calculate 3*c(a) - 2*q(a).\nAnswer: -2*a + 194","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 5 = 20. Suppose 0*q + h*q = 4*d - 3, -4*q + 24 = 4*d. What is the third derivative of -q*s**5 + 2*s**5 - 3*s**2 - 2*s**5 wrt s?\nAnswer: -180*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2660, -2688, -2734, -2798, -2880, -2980, -3098?\n\"Answer: -9*b**2 - b - 2650","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -20a8 - -257?\nAnswer: -1b51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 k when three letters picked without replacement from {t: 10, k: 10}.\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 7*k**2 + 3*k + 2. What is the lowest common multiple of n(-1) and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -4*j - 15, 3*u = 4*j - 0 - 15. Solve -d + j*d + 1 = 3*x, -5*x - 5*d = -15 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - (-9 + 9))*(-9 + 0). What is the third derivative of 11*q**3 + 64*q - f*q**3 - 14*q**2 - 64*q - 3*q**4 wrt q?\nAnswer: -72*q + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 957709251 to the power of 1\/2, to the nearest integer?\nAnswer: 30947","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1533, -258, -2047, -3828, -5595, -7342?\n\"Answer: u**3 - 5*u**2 - 1783*u + 3320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 294737748 and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 384?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) + -1*sqrt(117)*2 - sqrt(117))*-1)\/(-6*sqrt(225)*1).\nAnswer: -sqrt(13)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 75 and 15855?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -677*l = -673*l + 5*a - 105, 4*l - 6*a + 126 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 - 2\/5*r**2 + 18\/5*r = 0. Calculate r.\nAnswer: 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 759 + 190 = 73*m for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.31 + 8.31. Let i = z - 7.9. Let r = 39 - 75\/2. What is the nearest to i in 0.5, r, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*((a**(-7\/3)*a*a)\/a)\/a)\/a**22)\/(a*a**(5\/3)*a\/a**9) assuming a is positive.\nAnswer: a**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*n = -64*n + 34*n + 12 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3732 is divided by 459.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand f - 9 + 9 + (-1 - 3 + 5)*(1 - 1 - 2*f) - 925 + 16*f + f + 7*f - 22*f.\nAnswer: f - 925","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - 2331553?\nAnswer: -2331545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 29\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**3\/3 + 34748*x**2\/3 - 1579364*x + 54269052.\nAnswer: -4*(x - 8549)*(x - 69)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 15*f + 132. Let n be d(-7). Is n greater than 24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5766 and 2.\nAnswer: -5764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 28234887?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 92\/16 - 1\/(-4). Let m(z) = -z**3 + z**2 + z - 1. Let j(y) = -2*y**3 - 5*y**2 + 9*y. Let w(s) = -j(s) + 3*m(s). Is 14 a factor of w(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 11*o**2 - 706*o - 2111. Give j(67).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 41*l - 52*l + 4*l**5 + 7*l**5 wrt l?\nAnswer: 220*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34642.2 * 0.4\nAnswer: -13856.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -6 - -3 - (-2 - -1). Let o be (-2 + -8)\/(0 + v). Suppose -4*a + 16 = -2*c, c + a - 3 = 1. Solve o = 5*z - 0, 4*b - z + 21 = c for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 3*z + 14. Let n(r) = r**2 - 4*r - 1. Let h be n(4). Let l(i) = 56*i**2 + 2*i + 1. Calculate the remainder when l(h) is divided by z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-64)\/56)\/((-2)\/7). Suppose 2*u + f = -2*u + 40, 5*u + r*f = 50. What is p in 15*p**3 - 8 - u*p**3 - 9*p**3 + 12*p = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10440066)\/455 - 2\/(-10). What is a rounded to the nearest 100?\nAnswer: -22900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*k - k + 0*k + (-2 - 4 + 5)*(2*k - k + k))*(436 - 43*k - 436)*(3 + 0 - 4) as w + m*k**2 + f*k and give m.\nAnswer: -215","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 - 2*a**2 - 3*a - 3. Calculate s(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 166731 and 3576.\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 42270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2 + 4*r**2 + 0*r**2 + 4*r**3 + 4*r - 3*r**3. Let c be s(-2). Let i(b) = -1799*b - 2. Let p be i(c). What is p rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 22*a**2 + a + 5. Let i be o(2). Suppose i = -m - 4*f, -4*m - 210 - 95 = f. Let n = m + 75. Solve 4*b + t = 1, -2*b - 3*t + 4 - 1 = n for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1595\/2*q + 2544025\/4 + 1\/4*q**2.\nAnswer: (q - 1595)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*k - 57*k = 26 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + 0*b - b)*(0*b + 2*b + 8*b - b - 4 + 4 + 0*b + 4*b - 6*b + (4*b - b - b)*(-5 + 2 + 1) + 4 - 4 - b) + 0*b**2 + 0*b**2 + b**2.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*c - 17*c - 10917 = 0. Is 4\/((-12)\/c)*-1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -3\/135629 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 373370.\nAnswer: 2, 5, 37337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -307 + 307. Sort -32, p, 5 in ascending order.\nAnswer: -32, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/295211 and 69\/2534?\nAnswer: 590422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(1\/5)\/(j*j*j\/j**(-2\/9)))\/((j*j\/j**(3\/10))\/j**(1\/7)))**(-8\/13) assuming j is positive.\nAnswer: j**(2308\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j**3 - j**2 + 4*j + 2. Let o be q(0). Suppose 0 = -o*r + v + 14, 3*r + 2*v = 5*v + 18. Solve r = 6*g + 32 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -23*c + 1523. Let h(w) = -14*w + 761. Calculate 5*h(g) - 3*l(g).\nAnswer: -g - 764","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -7*t**2 - 13*t + 3. Let p be k(-5). Which is the second biggest value? (a) 2\/11 (b) -5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (16\/(-10))\/(2\/(-10)). Let m be 86\/12*c\/(-20). Let d = m + 8\/3. Which is bigger: d or -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - 10bb?\nAnswer: -10c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(9\/(-51)*64\/192)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86 = 4*i + 2*j, 1370*i - 1374*i = -5*j - 159 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36280383?\nAnswer: 3, 107, 113023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*i**2\/3 + 556*i\/9 + 80\/9 = 0. Calculate i.\nAnswer: -2, -20\/129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -8*d**2 + 31*d - 26. Let v(j) = -26*j**2 + 94*j - 78. Let z be (20\/18)\/((-3)\/(-27)). Let f(q) = z*h(q) - 3*v(q). Factor f(n).\nAnswer: -2*(n - 13)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -64*i + 63*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -20030 rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -2, -4\/5, 0, 5, -155?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 times -0.31?\nAnswer: 1.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.5+0.035\nAnswer: 0.535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29 + -12. Suppose -2*v + 15 = 3*c - 5*v, -4*v - z = -3*c. Let a be -2 + 2\/1 - -8. Solve -n + a = -c*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 23*y + 288. Let a be q(-12). Suppose a*d - 54 = 6. Solve 9 = -3*g, d*k - 4*g - 7 = -0*g for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1655931 is divided by 35998?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*b - b. List the prime factors of (1\/b)\/((-1)\/174).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -7*p**2 + 3*p - 5. Let u(o) = -o**2 - 12*o - 15. Let w be u(-10). Let m(h) = -3*h**2 + h - 2. Determine w*m(g) - 2*a(g).\nAnswer: -g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k**2 + 8*k + 2. Let y(s) = s**2 + 9*s + 13. Let w be y(-7). Let f be 4\/(-16) - (-33)\/4. Let z(t) = t. Calculate f*z(b) + w*u(b).\nAnswer: 2*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 PM and 11:02 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/528860 and 71\/4464?\nAnswer: 19038960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 288463 and 59339.\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9348038 = 113*w + 188*w - 10389435. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*a - 5552873 = -5552621 for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + (5 - -2)*10. Let a = -14 + g. Suppose -a = 2*u + 3*u. Is u smaller than -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 2*y - 15. Let s = 0 + 2. Let k(p) = 6 - 3 + 2*p - 3 + 2*p**s. Determine k(y).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*o + 1463 = -6622. Calculate the highest common divisor of o and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of -j**4\/12 + 4*j**3\/3 + j**2\/2 + j. Suppose 9*h = -5*h + 98. What is the units digit of y(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/4)\/(-1)*7. Suppose 4*y + 5*c - 59 = 0, 0 = -18*c + 23*c + 5. Solve v*n - y = 11*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13.8 * -0.02829.\nAnswer: -0.390402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16877797*q - 11959380 with respect to q.\nAnswer: -16877797","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1105 = -3*i + d, 5*i = 10*i + 4*d - 1853. Solve -22*z**2 + 4*z**3 + i*z - 321*z + 74*z**2 = 0 for z.\nAnswer: -12, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*r**3 - 3*r**2 + 3*r**3 + 240 + 6*r**3 - r**3 + 3*r**3 as a*r**2 + i*r**3 + v + n*r and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10\/4 - 3\/(-6). Find the first derivative of -4 + h + c**2 - 1 + 6 wrt c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10242 - -4?\nAnswer: -10233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*r + 3*q - 7*q - 32, -9 = -r + q for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1900) + 0)*2 - (1 + sqrt(1900) + 5))**2.\nAnswer: -120*sqrt(19) + 1936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6804.2 - -6804. Let n = 17\/21 - 1\/7. Let o be (4\/(-8))\/(1 + 0). Which is the closest to n? (a) t (b) 2\/7 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 PM and 7:32 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 41*i - 161*i = -1742 - 1966 for i.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-88)*11)\/(6 - (-456)\/(-64) - -6)\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 105495275?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 4*u**2 - 36*u + 92. Give c(6).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -6 + 36. Let r = 114 - 104. Suppose u = r*h - 4. Which is bigger: h or -2\/5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/42*(-140)\/((-1365)\/(-39))\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28.1085 + -104.8814. Let c = -133 - q. Round c to three dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: 10011010011111010011111 (base 2) to base 7\nAnswer: 61012621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -39, -76, -111, -144, -175, -204?\n\"Answer: w**2 - 40*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 - 7*z**2 - 12*z - 32. Let o be r(-6). Solve -4*i + 5 = -5*d, -o*d - 4 = -8*i + 3*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 3:06 PM?\nAnswer: 12:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 167554393 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -26746482.31 - 2255?\nAnswer: -26748737.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 91894312 by 8.\nAnswer: 11486789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*u**3 - 40903*u**2 + 149*u + 13701784.\nAnswer: 6*u**2 - 81806*u + 149","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1046958 to the nearest 1000.\nAnswer: 1047000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 3*u - 21. Let a = u + -10. What are the prime factors of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42 (base 5) to base 8\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8997 divided by -11111.\nAnswer: 8997\/11111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 - 13*y - 21. What is the remainder when 74 is divided by b(-9)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -3*t**2. Let b(h) = 16*h**2. Suppose 0 = -2*i - 2*a + 32, -5*a = -3*i - 18 + 26. Calculate i*o(c) + 2*b(c).\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 87\nAnswer: 43.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/8*-1)\/((-3383)\/(-796))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2b (base 14) to base 11\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(288) - (sqrt(288) + 0)) + sqrt(288))*-4.\nAnswer: -48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(1300)*-4 + 4 + -5)**2 + -3.\nAnswer: 480*sqrt(13) + 20833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = 3*t + 2*y, 3*y - 2*y - 10 = 5*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/3 - 8*p + 70\/3.\nAnswer: 2*(p - 7)*(p - 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - s + 1. Let y be (-3*1)\/(18\/(-30)). Let r be (y\/(-10))\/(2\/(-4)). Determine w(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*d**3 - 35*d**3 - 28*d**3.\nAnswer: -95*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8077 is divided by 40?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 35672.894 to the nearest one hundred.\nAnswer: 35700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 18*s - 16. Let t(r) = 17*r - 16. Let x(w) = 5*q(w) - 6*t(w). What are the prime factors of x(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/5, 1, 34.\nAnswer: -6\/5, 1, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 632 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 175845797 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 - 11*m**2 - 11*m + 2. Let i = -4 + -6. Does 7 divide u(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3\/2 + 49*x**2 - 465*x\/2.\nAnswer: -x*(x - 93)*(x - 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-3)\/((-12)\/(-28))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -50 - -73. Let u = -263658 - -264325. What is the greatest common factor of p and u?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of 13*l**3\/3 + 3*l**2 + 5*l + 3. Is 21 a factor of z(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -4*u + 245, 2*u + 2*f - 242 = -2*u. Suppose 217 = -20*p + 27*p. Let w = u + p. What are the prime factors of w?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 = 2*u - 7. What is the remainder when u is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-3)*(-18)\/4. Let n(v) = -v**3 + 10*v**2 - 15*v - 3. Let f be n(8). Suppose -f*m = m + m. Solve b*k + k - 12 = m for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 3 z when four letters picked without replacement from zzsrzzzzp?\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -4*i + 13, 5 = 4*a - 5*i - 2. Let y = a + -1. Find the third derivative of 0*p**5 + p**2 - 2*p**y + 0*p**2 + p**5 wrt p.\nAnswer: 60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 290, 0.4, 1, -0.03, 4 in ascending order.\nAnswer: -2\/5, -0.03, 0.4, 1, 4, 290","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -1*((sqrt(1425)*1)\/(5*(sqrt(12)\/sqrt(4) + sqrt(3))) + -5 + sqrt(2299)*1 + (sqrt(2299) + -1 + sqrt(2299))*1).\nAnswer: -67*sqrt(19)\/2 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*c**3 + 90*c**2 + 876*c + 1368 = 0. Calculate c.\nAnswer: -6, -2, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m and 1 h when four letters picked without replacement from tthtmtttmmmtm.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*b**2*h**2 - 3*b**2 + 486*b*h**2 - b + 2*h**2 + 8128*h + 1 with respect to b.\nAnswer: -4*b*h**2 - 6*b + 486*h**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35 - 54 - 31 - 3 + 5 + 0 + (0 - 2 + 0)*(1 + 3 - 2) + 1 + 0 + 0 - 6 + 1 + 3 - 3 + 2 + 0)*(-4*k + 3*k + 3*k) + (3 - k - 3)*(3 + 3 + 0) + 0*k + 3*k - 2*k.\nAnswer: -113*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4771693?\nAnswer: 109, 43777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3586, -7178, -10770, -14362, -17954, -21546?\nAnswer: -25138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -6*b - 675. Let r(t) = 17*t + 1929. Let x(j) = 20*d(j) + 7*r(j). Let y be 0 + -3 + 2\/1. Let i be ((-9)\/15)\/(y\/5). Determine x(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -290 = 3*v - 8*v. What is the second derivative of 55*z - v*z + 3*z**4 + 0 + 0 wrt z?\nAnswer: 36*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 48 and 5.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 - 699.075351\nAnswer: -698.675351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1862 and 4522?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 1) + (17 + 10 + -6 + -36 - -9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*5*-1*(-5 + sqrt(832)*1 + sqrt(832))*4)**2.\nAnswer: -2304000*sqrt(13) + 48283200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 0.14702\nAnswer: -0.29404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**3 + 0 - 4\/9*i**4 + 32\/3*i - 104\/9*i**2.\nAnswer: -4*i*(i - 4)*(i - 3)*(i - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -107416 - -20946241\/195. Let i = 7\/15 - b. Let p = -1600 + 1601. Is i less than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 - 5*x. Let n be u(0). Suppose 5*g - g - 72 = 0. Let l be (-2)\/(-3)*g\/32. Which is bigger: l or n?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -k - f, -4*k = -8*f + 6*f + 74. What is the common denominator of (-63)\/((2 - 0)*k) and 41\/28?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -8*m**3. Let s be f(1). Let x be ((-130)\/(-15))\/((-2)\/(-6)). Let o = x + s. Is o a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11 and 236096?\nAnswer: 2597056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89645 is divided by 6397.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**2 - h**3 + h**2 + (3*h - 2*h**2 - 3*h)*(2*h + 0*h - h) - 24*h**3 + 8*h**3 + 28*h**3)*(h - h + h).\nAnswer: 9*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r**2 + 62*r - 1105. Calculate b(-41).\nAnswer: -285","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13.4 + -1.4. Let w = -11.973001 - 0.027034. Let t = w + a. Round t to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 144 (b) -0.2 (c) -3\/4 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-5)\/p)**(3\/23)*(p*p*p*p\/(p**(1\/4)*p*p)*p)\/p**(-9) assuming p is positive.\nAnswer: p**(1009\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5896939207 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, q: 1, z: 1, l: 1, f: 2, i: 1}. What is prob of picking 1 q and 1 z?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 + 12*m - 3. Let q be z(-9). What is the tens digit of (-41)\/(-3) - (-20)\/q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 10*y**2 - 2. Let h(r) = r**2 - 3*r - 4. Let u be h(3). Is n(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 96*h - 8142760 + 703816. What are the prime factors of h?\nAnswer: 77489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of -g**4\/12 - 2*g**3\/3 + 5*g**2\/2 + 3*g. Find the common denominator of -29\/2 and p(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 456 and 248862?\nAnswer: 995448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 252 and 112.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**(-9)\/d*d*d**(-5\/9)\/d assuming d is positive.\nAnswer: d**(-86\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 18\/45 - (-2222)\/(-5). Let x = 561 + w. What is the greatest common divisor of 312 and x?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t + 4. Let p be m(7). Let y = p + 5. Find the third derivative of -2*k**2 - 3*k**3 + 0*k**3 + y*k**3 wrt k.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(75))*5)**2 - ((-1 + sqrt(75) - sqrt(75)) + 5).\nAnswer: 250*sqrt(3) + 1896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 737 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1131 and 788723.\nAnswer: 68618901","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 6\/22*12507\/(-23877)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 80 and 60806448?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10141020 + 142?\nAnswer: 10141212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-58))\/(-1) - 394342\/10933.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = -z - 10, 45*z - 5*x + 288 - 515 + 252 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126300689.\nAnswer: 126300689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 778 is divided by 255.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 2. Let o be (-3)\/((-3)\/(11 - 2)). Let t be 26\/36 - 2\/o. What is the nearest to t in -4\/3, x, 4?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -3 - 2*r - 4 + 0 + 0*r. Let u be d(-6). Solve u*a - 4*k = -6*k - 22, 0 = 2*a - 2*k + 6 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1 and 32987145?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.630683 millennia to months.\nAnswer: 55568.196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1114800 rounded to the nearest ten thousand?\nAnswer: -1110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 438418.9 millennia to months.\nAnswer: 5261026800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -25.71 to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9 and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 49140 + 61331. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 2*r - 8 = -0, 5*w - 20 = -3*r. Let c be 2\/(-6)*w\/(-6). Let j = -58 - -235\/4. What is the third biggest value in j, -0.3, c?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + 1124?\nAnswer: 1133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 76, 77, 76, 73, 68, 61, 52?\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - 5*v + 2*v)*(-3*v**4 + 0*v**4 + 4*v**4).\nAnswer: -2*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -2, -3 in ascending order.\nAnswer: -8, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -35 - -38. Suppose -230 = -5*r - 3*c + 8*c, -42 = -r - t*c. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(240)*-2)\/sqrt(12) + -4)**2 + (4 + (1*sqrt(980))**2 + sqrt(980) - (1 + sqrt(980) + 1)).\nAnswer: 32*sqrt(5) + 1078","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 651 and 357.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*j - j**2 - 4*j**2 - 9*j.\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - 3) + -6 + -7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-18) + (-114)\/(-27). Let z be 7 + -4*2\/p. Suppose z*t = 2*t - 3. Are t and 2\/9 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 87 and 88 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 185?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -9734*-1114\nAnswer: 10843676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -39826*v - 1035475. Calculate r(-26).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-10)\/95)\/(-1) - 142\/266. Which is the closest to 2\/7? (a) 0 (b) w (c) -0.61 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 x when two letters picked without replacement from xxtxfqxpxfvf?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 149*b**2 - 13 + 7 + 3)*(25*b + 25*b**2 - 25*b).\nAnswer: 3725*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 26493 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of z**3\/6 + 9*z**2\/2 + 3*z. Let y be u(-6). Which is the third smallest value? (a) 1 (b) y (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -7*h. Let u(n) = n**2 + 8. Determine d(u(r)).\nAnswer: -7*r**2 - 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 - 9*u**2 + 3*u - 23. Let g be z(9). Does 22 divide 6 + -1 - 965\/((-20)\/g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4767 (base 9) in base 4?\nAnswer: 313120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 206323?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of 29*b**4\/24 - 23*b**3\/3 + 146*b**2. Let n be g(2). What is the greatest common divisor of 42 and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 214 + -211. Let h(w) = 4*w + p + 0 - 6*w. Determine h(-7).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52999 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12104 and 1424?\nAnswer: 24208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.3 - -5.3. Let z = -0.0887 - -0.1087. Sort j, z, -4, 1.5 in decreasing order.\nAnswer: 1.5, z, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -9844067, -9844035, -9844003, -9843971, -9843939, -9843907?\n\"Answer: 32*t - 9844099","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 758958*p**2 - 21*p - 275007661.\nAnswer: 1517916*p - 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32 and 920.\nAnswer: 3680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3\/6*10\/((-2)\/1)\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5967*v - 300587 - 290800 + 209499 = 0 for v.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 4*f**3 + 32*f**2 + 11*f - 34. Let u(y) = -y**3 - y**2 - 4*y. Let t(l) = s(l) + 3*u(l). Give t(-29).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 18147 + 1?\nAnswer: 18148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -0.19, -3291\/124 in decreasing order.\nAnswer: -0.19, -2\/9, -3291\/124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12302123322 - -13?\nAnswer: 12302130001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of -6*b**4 - 13*b + 28 - 43 + b**4. What is the first derivative of d(x) wrt x?\nAnswer: -60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 172*d**3 - 16*d**2 - 8*d + 101. Is j(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16480*a - 4837*a - 260612 = 111964 for a.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 43320.\nAnswer: 43320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -0.1. Let j = 1067\/5 + -213. What is the third smallest value in k, -1\/3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/4 and 41\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.4 - 1.1. Let w = -1 + 1. Sort w, 0.5, r.\nAnswer: w, r, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44638 - 150.21943.\nAnswer: -44788.21943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 439980576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in fifty-two fifths of a micrometer?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a decade in years?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18344?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 PM and 11:10 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 + 13. Let t be (-10)\/q*12\/(-20). Suppose 2*m + 0*m - 4 = 0. Is m >= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (107 - -17 - 30)\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 512 - 527 = 3*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*d + 164580 + 79369 = 34327. What is the greatest common divisor of d and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 2*x - 132 = 0, -6*x = -2*j - x + 66. Let y = j + -20. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 3*r + l - 22, 0 = 3*r - 4*l - 2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uelulekebduu. What is prob of picking 3 d and 1 u?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 212170, 424340, 636514, 848692, 1060874, 1273060, 1485250?\nAnswer: 1697444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*i**4 - 23*i**3 - 853*i?\nAnswer: -24*i**2 - 138*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9935 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 414757419 to the nearest integer?\nAnswer: 746","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 4*a**2 + 15*a - 6. Let q(v) = 5*v**2 + 16*v - 6. Let s(d) = 6*i(d) - 5*q(d). What is the units digit of s(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of g**4\/4 - g**3\/6 - g**2\/2 - 10*g. Let n be k(-1). Is 3 a factor of n\/(-5) + (-390)\/(-25)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -174*u - 26*u - 187*u as t + o*u and give o.\nAnswer: -387","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eses when four letters picked without replacement from {s: 7, e: 12}?\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -535646, -1071312, -1606978?\nAnswer: -2142644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i + 14. Let v be z(-10). What is the second derivative of -22*n - v*n - 4*n**3 + 10*n wrt n?\nAnswer: -24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**2 - 2*n**2 + 2*n**2)*(4 - 1 - 4)*(0 + 6 + 0)*(1640*n + 1556*n - 6136 + 6136).\nAnswer: 19176*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45763?\nAnswer: 45763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_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: Let c = 3 - 4. Let z = -3 + 3.1. Let a = 3 - 2. What is the nearest to a in z, -2\/5, c?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7250321 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v**3 + 23*v**2 + 10*v - 29. Suppose 0 = -211*a - 32*a - 2257 - 416. Give s(a).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 23eb + de7?\nAnswer: 31d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 3 (c) -0.38 (d) -38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (r**3 - r**3 + r**3)*(3 + 3 - 4)*(3600 - 36*r - 3600) as o + q*r**2 + h*r + f*r**3 + a*r**4 and give a.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in -2\/9, 5\/2, 2, 2\/25?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 164*p - 148*p - 32 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26)\/(-10) + -1 + 4676*237\/33180?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17014.07 rounded to the nearest one thousand?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-1)\/x)**(5\/11)*(x**0\/x)**(2\/17) assuming x is positive.\nAnswer: x**(-107\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*b**5 + 13343*b**3 - 100388*b**2?\nAnswer: -240*b**2 + 80058","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k**2 + 3*k - 3. Let i = -3 + 0. Let d be c(i). Let r(j) = j + 4. Calculate the remainder when 19 is divided by r(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 231 is divided by 58?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m - 32*m**2 - 3*m + 92*m**2.\nAnswer: 60*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 87\/58*1\/1?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1200517022.\nAnswer: 2, 37, 79, 205357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 - i**2 + i - 11. Let x be s(0). Let m = 19\/2 + x. Let z = -2359 + 7079\/3. Which is the smallest value? (a) z (b) -0.4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 29*m*o*y + 4587*m*y**2 + 2*o*y**2 + 157682*y**2 wrt m?\nAnswer: 29*o*y + 4587*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12\/10*50\/5. Let o = x - 6. What is the units digit of 2\/(-3)*(-9)\/o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of -3\/8*u**4 - 3*u**2 - 7 - 1\/40*u**6 - 3\/20*u**5 - 1\/2*u**3 + 0*u. Let s(x) be the second derivative of v(x). Factor s(q).\nAnswer: -3*(q + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 - 4*j**2 + 4*j + 1. Determine m(-4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 287324 and 962252?\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -95 + 99. Suppose v = -2*i + 8. List the prime factors of i\/8 + -3 + (-247)\/(-4).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 89 - 86. Let g(b) be the second derivative of d*b + 0*b**4 - 1\/5*b**5 - 1\/2*b**3 + 0*b**2 + 0. Find the second derivative of g(x) wrt x.\nAnswer: -24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 1101331 - 1101331 + 16*l**2. Let f(w) = -19*w**2. Calculate g(f(u)).\nAnswer: 5776*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h - 15*h - 6*h - 14*h + 4*h + 203.\nAnswer: -31*h + 203","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 858.8876 nanograms?\nAnswer: 0.0000008588876","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g**2 + 5963*g**3 + 12628*g**3 + 0*g**2 - 1462*g**3.\nAnswer: 17129*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -7*1*235\/((-11515)\/(-336))?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101*k**2 - 23*k**2 - 22*k**2 - 27*k**2 - 33*k**2.\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1616429 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-159376)\/40)\/((-42)\/(-15) + -3). Suppose 0 = -10*y - 4*y + h. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12261 or -12264?\nAnswer: -12264","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -3. Suppose 4*y = y + 6. Let c(a) = -2*a**y + 1 + 6*a**2 - 5*a**2 - 2*a - 2*a. Calculate c(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11786 a factor of 4514544798?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 879234?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 279 = -3*g, -5*g + 95 = 5*m - 350. What is the highest common factor of g and 621?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1008.73244 rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*2*(-7)\/(-14). Suppose -v = -2*v - c. Let h(l) = -6*l**3 + 3*l**2 + 2*l. Is h(v) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-449*t - 230*t - 101 - 98 + 199)*(-t + 2 - 2) to x*t + q*t**2 + h and give q.\nAnswer: 679","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.7630742404 - -3.4.\nAnswer: -1.3630742404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*q**3 - 1 + q + 4 - q wrt q.\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 312055 divided by -6?\nAnswer: -312055\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 303*i**4*p - 4*i**4 + 326*i*p - 6*p wrt i.\nAnswer: 3636*i**2*p - 48*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.1? (a) -2\/3 (b) -7\/2 (c) 10 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 124.999915 + -125. What is y rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 290 and 21949520.\nAnswer: 21949520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) -4 (c) 0.15 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a kilogram in grams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 46553?\nAnswer: -139659","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(304) + sqrt(19) - (3 + sqrt(19) + -1).\nAnswer: -2 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 42612 and -40031.\nAnswer: 2581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -10, -44, 0, 4, 3 in descending order.\nAnswer: 4, 3, 0, -4, -10, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/5*(-33)\/(-22).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3.3 (b) -1 (c) 2\/5 (d) -4 (e) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 650630360?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = -3*x - 4, 12*x - 16*x + b = -1 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 900\/594 - 12\/9?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13318417 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + 2 - 9*u + 0)*(0*u + 2*u**3 + 0*u - u**2).\nAnswer: -14*u**4 + 11*u**3 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -650 + 608 = -2*c - 3*s, 8*s = -4*c + 116 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 8814, 19090, 29366?\n\"Answer: 10276*j - 1462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1039.\nAnswer: 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.4314036 microseconds in hours?\nAnswer: 0.000000001786501","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-10\/7)\/j**(-6)*((j\/j**(-6\/7))\/j*j)\/j**(3\/5))**20 assuming j is positive.\nAnswer: j**(816\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-232)\/(-72) - (-5 - 94\/(-18)). Solve 0 = p*q + 3 + 12 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.08821 months in years?\nAnswer: 1.4240175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 5*l = -4*p - 2408, 4*l = 0. Let b = p - -861. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.3, -0.26, -3, -5\/18, -1 in decreasing order.\nAnswer: -0.26, -5\/18, -1, -3, -3.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/35453, 2, 0.4, -247 in increasing order.\nAnswer: -247, -1\/35453, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -58284521.8 rounded to the nearest one million?\nAnswer: -58000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/(-5) + 11\/1. Let l = 6 - u. Let y(j) = 4*j**3 - 5. Let h(q) = -7*q**3 + 9. What is l*h(w) - 11*y(w)?\nAnswer: -2*w**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12857*-9.786.\nAnswer: -125818.602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 28 - 10 - (-2 - -8) - -9\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 3*q = 4*q - 249, 0 = 5*a - q - 251. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -356*i**3*j**3 - 211*i**3*j**2*o + i**2*j**4 + 6*i**2*j*o - 3*j**3*o - j**2 wrt j.\nAnswer: -2136*i**3 + 24*i**2*j - 18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -71018, -71242, -71462, -71678, -71890, -72098, -72302?\nAnswer: -72502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 7084553*s. Let q(t) = -15*t. Calculate u(q(w)).\nAnswer: -106268295*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9316 and 1772.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (((-165)\/22)\/(-3))\/(12\/2) and -19\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -0.3, -0.03, -1, -4\/11, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25 + 25. Suppose m = d + i + 6 - 5, 0 = -2*d + 4*i + 28. Calculate the greatest common factor of d and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 + 56*b - 1597. Calculate a(-77).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - q = 0, 0 = k + 2*q - 639. List the prime factors of k.\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17*b**2*z + 904*b**2 - 4*b*z - 2*z**4 wrt z.\nAnswer: 17*b**2 - 4*b - 8*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/9 + (0 - 387\/81)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-10\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 17.93?\nAnswer: 5.379","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1494 - 1498. Let l(o) = 6*o. Let d be l(-2). Let w be ((-1)\/d)\/(3\/(-8)). Which is the second biggest value? (a) s (b) -0.3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 244159 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -f + 3. Let t = 4 + f. Calculate the smallest common multiple of t + -1 - (2 - 3) and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8.6? (a) -5 (b) 3\/10 (c) -0.139\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from ttttttttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x**2 - 832803*x + 832806 = 0.\nAnswer: -277602, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 234094169?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 23, -0.01 in decreasing order.\nAnswer: 23, -0.01, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 1\/7, -0.08, -149, 0.5?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**4 - 4*h**4 - 2*h**4 + 2*h**4 + 3*h - 3*h - h**2 - 2*h**4 + h**2 + (-2*h**2 + 3*h - 3*h)*(2*h**2 - 5*h**2 + h**2).\nAnswer: -3*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2596 divided by 649.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 857.6087 decades in years?\nAnswer: 8576.087","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 106265257 a multiple of 6470?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -35*p. Let l(x) = 27*x + 2*x - 6*x. Let j(f) = -7*l(f) - 5*u(f). Suppose 2*w = 7*w - 25. Let y(a) = -9*a. Determine w*j(v) + 8*y(v).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 - -13.2. Suppose -2*a - 2 = 10. Suppose 5*s = 3 + 17. What is the closest to -2 in r, a, s?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36\/7*j**2 - 12\/7*j**4 + 2*j**3 + 48\/7 - 88\/7*j + 2\/7*j**5 = 0. What is j?\nAnswer: -2, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 576418421?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttt when three letters picked without replacement from {t: 7, v: 5}.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29114*m + 22581*m = -182924 for m.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35514808 by 181198.\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-102)\/(-85))\/((-18)\/(-74100))?\nAnswer: 2, 5, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 624?\nAnswer: -62.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 104628 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (3\/2)\/((-201)\/(-938))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 3*r + 231 = 0. Is 1\/(-4) - r\/4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 0.1518\nAnswer: -0.4554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7456)\/2097*(-180)\/16.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 116782?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 10002210112111 (base 3) to base 4\nAnswer: 12102223231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a tonne in kilograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 minus 548150435445?\nAnswer: -548150435445.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s**7\/s))\/s*s**(-5\/8)\/s)\/(s**(1\/6))**(20\/3) assuming s is positive.\nAnswer: s**(-701\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 5:37 AM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 4*s**2 - 2*s + 4. Let l be h(2). Suppose -12*m + l*m - 648 = 0. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1136214?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2611.6 + 2611. Let s = -4 - -7. Which is the closest to -2? (a) m (b) s (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -77.5 * 1.4\nAnswer: -108.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 5*d**2 - 13*d. Let k(v) = 18*v**2 - 55*v - 1. Let u(f) = 3*k(f) - 11*x(f). Determine u(-21).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 3*z = -1, 3*z - z - 6 = h. Suppose h*w = 2*y + w - 57, -4*w - 87 = -3*y. Is 18 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 20410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 227 a factor of 9775528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 + 6*a**2 + 3*a + 5. Let c(m) = -2*m - 4. Let u be c(-5). Calculate the remainder when (-8)\/6*-33 + 1 is divided by f(u).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3*(-1043)\/(-840)*-3. Let z = 33\/28 + 543\/56. Let g = o - z. Which is bigger: 0 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4922 - 1397.528.\nAnswer: 3524.472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7501749 and 3174.\nAnswer: 1587","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (((-2)\/(-4))\/1)\/((-9)\/(-432)). Suppose -3*r - 3 = 0, -4*t + r + r = -10. Suppose t*b - s = 7, -5*b + s + x = 5*s. Solve -b*c = -c - 9 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*p - 64*p = -15 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence issi when four letters picked without replacement from ssiissis?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42998, -43421, -43826, -44207, -44558, -44873?\nAnswer: -45146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1291276166341 minus 4?\nAnswer: 1291276166337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 333849 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 648961 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: Calculate the highest common factor of 600 and 577650.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c*g*w**3 + 26*c*w**2 + 931*g*w**3 + 19*g*w**2 wrt w?\nAnswer: 6*c*g + 5586*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3632 and 64?\nAnswer: 14528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/85 in -1\/4, 1, 28\/11, 2\/9, 117, 0.4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 10 = 2*o. Suppose -4*q - 4*f - 3 = f, 0 = 2*f + 6. Suppose -7 + 43 = 4*n. Solve -9 = -3*l - j, 3*l - q*j + o*j - n = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 277, -355, -1899, -4349, -7699, -11943, -17075, -23089?\n\"Answer: r**3 - 462*r**2 + 747*r - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = -q, 2 = 13*q - 11*q - n for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -82*r**3 - 37*r**2 - 4. Let o(x) = -41*x**3 - 19*x**2 - 2. Let s(w) = 6*f(w) - 11*o(w). Find the third derivative of s(m) wrt m.\nAnswer: -246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 231 + 5?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 207545627 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-16)*-6)\/((-1)\/(-2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + -22 + (17 - 0).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1774 + -917. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 7 + -2 + -1 - (-1 - 8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 d when three letters picked without replacement from giiiigiddg.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 37\/28 - -1\/84. Let k = 66210\/7 + -9459. Sort v, 5.8, k in increasing order.\nAnswer: k, v, 5.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 175 by 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 + -7. Suppose 0 = 4*x - 12, 0 = -2*t + x - 2*x + 13. What is the closest to 1 in w, 4, t?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((27\/(-12))\/(-3))\/(-2). Which is smaller: -1 or q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of 0*t - 2\/35*t**5 + 35 + 1\/14*t**4 + 0*t**2 - 1\/21*t**6 + 2\/21*t**3. Factor g(m).\nAnswer: -2*m**2*(m - 1)*(m + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 702*g - 453*g + 6474 for g.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 4581.92501 to the nearest 10.\nAnswer: 4580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111 - 11110111100000100100110100?\nAnswer: -11110111100000100100111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence py when two letters picked without replacement from ppyyjyyyuyypp?\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 3*g. Is (22 - g)\/((-2)\/(-2)) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3\/8, 743894, 1\/2, -3?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 102*m**2 - 145*m.\nAnswer: 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36\/89, -1\/4, 2\/13 in descending order.\nAnswer: 36\/89, 2\/13, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 47055 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1836263601?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppj when three letters picked without replacement from pjjjjp.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -107 + 11. Let j = x + 95.99967. What is j rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**2 + 0 + 0)*(-2*v + 3*v - 2*v)*(v - 6*v + 2*v) + 3*v**4 + 5*v**3 - 5*v**3.\nAnswer: 9*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 72 - 69. What is the second smallest value in -0.3, u, -0.2, 0?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*o**2 + 0 + 0 + (2 + o - 2)*(-2*o + 4*o - 4*o) + (-2 + 5 - 1)*(25*o**2 - 646*o + 646*o) + o**2 + o**2 - 3*o**2 in the form u*o**2 + s*o + m and give u.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 159*x - 1922*x**5 + 156*x - 47*x wrt x?\nAnswer: -38440*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -129 - 7 - -344 - 108?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26 - 1. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*y = 37*y, 3*p + 25 = 3*y + 91 for p.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3159245 divided by 3\nAnswer: -3159245\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 380563*f**2 - 4*f**3 - 380563*f**2.\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*l - 140*l**3 - 5*l + 25 - 9*l + 69*l**3 + 2*l**2 + 70*l**3 in the form s + j*l**3 + w*l + d*l**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10314\/19 - 543. Let v = u + 53\/95. Let p = -4 + 4. Is p at least as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(1700) - (sqrt(1700) - (sqrt(1700) + (sqrt(1700) - (2*sqrt(1700) + 4))) - sqrt(1700)))**2*-5.\nAnswer: -1600*sqrt(17) + 34320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -10\/7 (b) -599 (c) -27\/4 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 794 - 778 = 2*c, 2*o + 5 = 3*c for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -3*h**2 + 12*h - 6. Let d be x(3). Which is the third smallest value? (a) -0.153 (b) -0.5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-72)\/(-7) - (1 - -2). Let p = s - 7. What is the biggest value in -6\/5, p, 5, -0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3 smaller than 1272?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1164 - -1791. Which is smaller: r or 629?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l**2 + 1. Let g(m) = 16*m**2 - 10. Let d(a) = 4*g(a) + 40*i(a). Let c(x) = -5*x. Calculate c(d(r)).\nAnswer: 80*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = d - 3*k - 31, 4*k - 28 = d - 4*d for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 2) + (112 - (22 - -50)) + 1 + 23\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -42b76 + 7?\nAnswer: -42b6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -174\/37 + 448\/111. Put v, 0.273, 0 in increasing order.\nAnswer: v, 0, 0.273","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 977524 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - -10 - (9 - 3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 114\/10*((-4844)\/(-336) + -14) + -1. Let 1\/4*y**3 + 3\/2*y**2 + 2 - l*y = 0. Calculate y.\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9\/(-15) - 406791\/(-1260). Which is bigger: n or 322?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*p = 72*p - 18800. Calculate the remainder when ((-358)\/2 + 0)\/(-1) is divided by p\/20 + (-6)\/3.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -3*w - 4. Suppose -9 = 5*p - 4*g, 5*p + 3*g + 25 = -w. Put 1, p, -1 in increasing order.\nAnswer: p, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -32.3524123 to the nearest integer.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -57 + 59. Let j(h) = 1 + 3 - h - 3. Give j(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 60\/(-18)*2*-3. What is the greatest common factor of g and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*s + 5*f + 10 - 15, -2*s + 5*f = 15 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 + 5*h**2 + 1. Let c be 6\/9*1\/((-2)\/(-6)). Let k be 10\/((-1)\/c*12\/3). Calculate the remainder when 3 is divided by o(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 137761686?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -61*c + 4862. Determine v(79).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 4*t = -4*c - 11, 0 = 2*c + 2*t + 4 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3259242 (base 12) to base 2.\nAnswer: 100100100001101100010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 289\/1085 + 3\/155. Let g be 2\/(-8)*0 + 18\/21. Is c > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of o**4\/12 + 8*o**2. Let y(l) = -54*l - 45. Let d(b) = 5*b + 4. Let f(x) = 45*d(x) + 4*y(x). What is f(t(u))?\nAnswer: 18*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 322278448 to the power of 1\/3, to the nearest integer?\nAnswer: 686","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -376755, -376758, -376761, -376764, -376767, -376770?\nAnswer: -376773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-577.\nAnswer: 1154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1139*y**3 - 1062*y**2 + 4227748*y wrt y.\nAnswer: -6834*y - 2124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3 + 494*c**2 + 33981*c - 69930.\nAnswer: -(c - 555)*(c - 2)*(c + 63)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wkwwk. What is prob of sequence wwk?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-6))**17\/(a*a\/(a\/(a\/a**(-8))))**(-20\/3) assuming a is positive.\nAnswer: a**(-106\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 189?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-446230.47\nAnswer: 178492.188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 440010 divided by -9.\nAnswer: -48890","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bblbxbxbbbxbcbxxxl. What is prob of picking 1 x, 1 l, and 1 c?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -2 (b) 203 (c) 2\/21 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*b)*(3*b**4 - 4*b**4 - b**4) - b + b + 2*b**5 + 3*b**5 + 2*b**5 - 3*b**5 - 2 + 2 + 2*b**5 - 17*b**5 - 9 + 9.\nAnswer: -7*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 n when three letters picked without replacement from {o: 5, a: 1, b: 1, n: 2}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40, -45, -60, -91, -144, -225, -340, -495?\nAnswer: -696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 15*x - 117*x**2 + x**3 + 6 - 119*x**2 + 374*x**2 - 117*x**2. Determine z(-20).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**(2\/19)*g)*g)\/(g*(g\/(g**1*g))\/g)*g**(1\/3)*g*g**1 assuming g is positive.\nAnswer: g**(241\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence trw when three letters picked without replacement from wtwrwwrrwryr.\nAnswer: 5\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 663?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (55*t + 28*t - 2*t + (t + 3 - 3)*(0 + 3 + 2))*(-2*t**3 + 4*t**3 + 0*t**3) in the form k*t**4 + q*t + i*t**2 + s + v*t**3 and give k.\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 - 12*n**2 + 10*n + 13. Let u be r(11). Let w be (0\/(-2 + 8 + -4))\/u. Solve 0 = -5*o + 10 - w for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38637 is divided by 126?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**3\/2 - 15*x**2 + 225*x\/2 = 0 for x.\nAnswer: 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -127*g**3 + 845*g**2 - 2*g - 153228 wrt g.\nAnswer: -762*g + 1690","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.75 rounded to 0 dps?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 605, 2444, 5509, 9800, 15317, 22060, 30029?\nAnswer: 39224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2566 * 3.51.\nAnswer: -9006.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2896062 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -2\/7 (c) 7\/18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r**3 + 190*r - 190*r + 28*r**3.\nAnswer: 31*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*x + 35 = 80*x. Suppose 7*c - x = 23. Find o, given that -23 - 9 + 8*o**3 - 4*o**c + 36*o**2 - 110*o + 102*o = 0.\nAnswer: -2, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 take away -84417835232?\nAnswer: 84417835230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 4*s - 1. Let b be s + 185\/(-65) + 4. What is the closest to -0.1 in b, 0.3, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -538838 and -1.\nAnswer: 538838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-4\/19)\/b**13)**(2\/21) assuming b is positive.\nAnswer: b**(-502\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-240)\/(-70) - (8 - 4)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/4223479 and 71\/1876?\nAnswer: 118257412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 2*m + 5084 = 127, 5*y - 5*m - 24785 = 0. List the prime factors of y.\nAnswer: 4957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 3:56 AM?\nAnswer: 10:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-9) + (-663)\/(-9). Suppose 0 = -2*g + 45 + n. Calculate the remainder when g is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 78 and 572.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -2, 13, 20\/11?\nAnswer: 20\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -5 + 44 - 3 - -2?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -74 - -51. Let v = -23.05 - m. Which is the third biggest value? (a) -0.5 (b) -3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*m - 326 - 832. What is the remainder when m is divided by 70?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, -9\/8, -0.3, -1\/5, -20?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 5*k**5 - 1660*k**3 - 1658*k**3 + 3303*k**3 - 10*k**2 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of d**3*r*x - 23691*d**3*r - d**2*r*x + 29*d**2*r - d*r - 5*d*x + 10*d wrt d.\nAnswer: 6*r*x - 142146*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -29. Suppose 23*b - 4 = m*b. Let q(z) = -7*z - 18. Let n(c) = -8*c - 17. Let w(g) = b*n(g) + 3*q(g). Differentiate w(t) with respect to t.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5908734 in 3, 0, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/8 and (-3)\/(2592\/8757) + 11.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 36 - 18*o + 96 - 4*o**2 - 14*o = 0. Calculate o.\nAnswer: -11, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -64 + 76. Suppose -2 = 10*p - s*p. Let z = 228 + -228. What is the closest to p in 10, -5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -24, -47, -68, -87?\n\"Answer: g**2 - 26*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 390226, 1560752, 3511628, 6242854, 9754430, 14046356, 19118632?\n\"Answer: 390175*d**2 + d + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(24\/(-6))*-1. Suppose j - 3*p + 6100 = a, 2*j + 2*p + 12200 = 6*p. What is j rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ks when two letters picked without replacement from {j: 1, k: 3, d: 1, s: 1, z: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-2*(sqrt(1100) + 1) - -6*(1*sqrt(1100) + sqrt(1100) + 3))**2.\nAnswer: 2240*sqrt(11) + 70596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 131, 421, 687, 917, 1099, 1221, 1271, 1237?\nAnswer: 1107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(31 + 8 - 41)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 + 5*z**2 - 7*z - 4. Let u be (0 - 7) + 2\/2. Let v be t(u). Let n = -15 + 20. Which is the third smallest value? (a) n (b) -0.1 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of -5*f**7\/42 - 19*f**6\/6 - 11*f**5 + 80*f**4\/3 + 652*f - 2. Find d such that l(d) = 0.\nAnswer: -16, -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49360 is divided by 1646?\nAnswer: 1626","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 19 = z. Suppose 3*x - 5*y - 112 = 0, 38 = 4*x - 5*y - 108. Solve -x*q = -z*q + 3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -102.41 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*m - 4*m + 7*m + 0*m to the form j*m + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 533 + -532. Solve 3*h + 10 - x = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4375 is divided by 63?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -11005*d - 38 + 10965*d - 114. Does 8 divide t(-19)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -191, -661, -1437, -2513, -3883?\n\"Answer: y**3 - 159*y**2 - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 107082 and 114353?\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**4\/17 + 16*b**3\/17 + 32*b**2\/17 = 0. What is b?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s - 2. Let d(p) = -1. Let o be (6 + -2)\/(-2) - 3. Let f(l) = o*d(l) + y(l). Calculate f(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - 21?\nAnswer: -1e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 5*o - 21 - 10, 0 = -o + 5*s - 5. Suppose 2*j = -2*a + 30, a - o*a + 33 = -5*j. Calculate the lowest common multiple of 2 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 (base 10) in base 15?\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 28230145 times -3?\nAnswer: -84690435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 892632761 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 29224 and 36998146.\nAnswer: 562","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -216.\nAnswer: 1\/216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -151 + 157. Let x = 51 - 29. Suppose -3*f = -0*f - n, 0 = 2*d + f - x. What is the remainder when 25 is divided by d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10077 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 78 + -76. What is the remainder when 88 is divided by 9 + g + -6 + 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.24, 0, -0.3, 0.4 in ascending order.\nAnswer: -5, -0.3, 0, 0.24, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q**2 - 3*q. Let j = -5 + 9. Suppose -5*d = 3*x + 2*x - 35, -j*x = -4*d - 20. Let u(v) = -9*v**2 + 13*v. Calculate x*u(i) + 26*w(i).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 - 3*l + 2. Let d be (0 - 3) + 8\/(-8). Let t be r(d). Let b = -18 - t. Does 13 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w - 12*w - 30 = -5*w + b - 31, -2*b - b + 24 = -3*w for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (26 - 0 - (-18 - -26))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 + 8*n + 326. Let d be y(18). Suppose d = -2*z + 276. Suppose 0 = -c + 2*c - 26. Calculate the greatest common factor of c and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(2 + (-2 - -1)). Let n be ((0 + 0)\/(-1))\/b. Suppose n = -3*x + 6*x. Solve 4*s - 8 - 8 = x for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 979*h + 198*h + 212*h = 40281 for h.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gsssggg. Give prob of picking 1 g and 1 s.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 665\/5 + 6\/(4\/(-2)). Calculate the highest common divisor of v and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - x = -58. Suppose -x*m + 6*m = -6325. What are the prime factors of m?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*i - 17*i - 5*i - 7*i.\nAnswer: 65*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -2*x**2\/5 + 1576*x\/5 - 310472\/5 = 0?\nAnswer: 394","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 + o + 1. Let r(i) = 2*i**2 - 12*i - 8. Determine -r(q) - 8*v(q).\nAnswer: -10*q**2 + 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 470 is divided by 95?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m + 10. Let c(i) = -i - 9. Let o be (-1 - -5)\/((-3)\/(-2 - 1)). Let p(g) = o*s(g) + 5*c(g). Suppose 27 = -5*n + 7. Calculate p(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 365197?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-195)\/(-156))\/(2\/8). Suppose -4*l - 3*c = -8*l + 60, x*l - 2*c - 68 = 0. Solve -16*m + 4 = -l*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 103 + -70. Let n(q) = 2*q**2 - 19*q + 64. Let o be n(6). What is the greatest common factor of o and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4 - 1124)\/4*(-3)\/6. Let s = d - -347. List the prime factors of s.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (171\/(-2))\/((-369)\/82)*1\/(-1).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gqttututtqtu. Give prob of picking 2 u, 1 g, and 1 t.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + 3*y - y)*(-3*y**2 - 3*y**4 + 3*y**2) + (3*y**4 - 3*y**3 + 3*y**3)*(-1 + 1 + 2*y) + y**5 - y**5 + 2*y**5 + 5*y**5 - 2*y**5 + 0*y**5.\nAnswer: 14*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 14649 and 15043 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -232*g + 121*g + 111*g + 7123*g**2.\nAnswer: 7123*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-40)\/48)\/(30\/162)?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -9. Let f = 1098 + -2343\/2. Let y = f + 76. Which is the biggest value? (a) n (b) y (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/8 + 163*s**2\/4 - 67*s - 145992.\nAnswer: (s - 56)*(s + 66)*(s + 316)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*p + 0 + 0 + 50*p as f + o*p and give o.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 67891 rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 + 17*x**2 - 30*x - 2. Let t be v(15). Suppose -2*f + 4 = -4. Put 6, t, f in ascending order.\nAnswer: t, f, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65, -170, -331, -572, -917, -1390?\nAnswer: -2015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 318 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**4\/3 + 153*j**3 + 17697*j**2 + 104801*j\/3 + 17390 = 0. Calculate j.\nAnswer: -94, -1, 555","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*l + 93. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 10 = 91. Let u = a + 39. What is the remainder when 45 is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 376\/(-56) - (-8 - 3 - -4). What is the biggest value in b, -4, -80, -1\/4, -5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.5 + -1.735. Let l = 0.265 - y. Let w = 0.8 + -0.3. Which is the smallest value? (a) 1\/5 (b) w (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 20 = 0, 12*h = 7*h - 4*j - 20. Solve 4*v - 7*v = h for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 - i**2 - 8*i + 8. Let f be g(6). Suppose 4*b - f = -b. Calculate the remainder when b is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-4) + (-9)\/(-20)*-1. Put 1\/5, 5\/3, k, -2 in increasing order.\nAnswer: -2, k, 1\/5, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a gram in milligrams?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 1:31 PM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.8123573 litres?\nAnswer: 812.3573","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {u: 3, l: 8, h: 5}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 2*g + 3*g, -3*g - 10 = f. Suppose -55 = -6*i + 65. What is the least common multiple of i and (1 + -2)*f - -19?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -66*y - 32. Let b(z) = 22*z + 11. Let j(s) = -11*b(s) - 4*f(s). What is the tens digit of j(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-180)\/(-9) + (-4 - 0). Let k = 0 + z. What is the greatest common divisor of 112 and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 399.6431 years?\nAnswer: 0.3996431","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 14*t + 4. Let o(h) = 12*h + 3. Let q(p) = 4*o(p) - 3*u(p). Let w(f) = -2*f**2. What is w(q(l))?\nAnswer: -72*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -16.51478?\nAnswer: 82.5739","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -59*l**3 + 3*l**2 + 8*l + 7. Let d(o) = -29*o**3 + o**2 + 4*o + 3. Determine 7*d(p) - 3*w(p).\nAnswer: -26*p**3 - 2*p**2 + 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(400) + sqrt(400) + sqrt(400))\/sqrt(8) - sqrt(50))\/((2*sqrt(80))\/sqrt(8)).\nAnswer: 3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -15, 27, 0.5, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1604667 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooow when four letters picked without replacement from ooooooooowwowooowooo.\nAnswer: 112\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 4*r + 4*r = 0. Solve -8*t + r = 8 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8.2 + 8.1. Let k = 3 - 2. Is k >= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 1, 2 in ascending order.\nAnswer: -5, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120 - 120 - 3132574*j**3.\nAnswer: -3132574*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13299157057 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 1540*l**2 + 40*l + 59*l - l**3 - 1519*l**2 + 30. Let x be t(25). Solve 4*p = r - 14 - 1, -5*r - x = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 4 = 3*k. Suppose k*t + 2*y - 16 = 0, 0 = 4*t - 4*y + 3*y - 57. What is the greatest common divisor of 130 and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 482907 to the nearest integer?\nAnswer: 695","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1444610 (base 9) to base 4\nAnswer: -3002221230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 81355 and 144955?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 45 (b) 16913 (c) 2\/5 (d) 2\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/108 and 94\/4005.\nAnswer: 48060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 55 = -23. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -19 (c) 5517 (d) -3 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5658 and 483?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -11210 (base 4) in base 9?\nAnswer: -435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + l)*(2*l - 5 + 5)*(-5*l - l + 4*l) to h*l**3 + k*l + i + b*l**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 1384 + 4*g**2 + 320*g - 20*g**2 - 1384 - 12*g**2 as m*g + o*g**2 + s and give o.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3266, 5, -4, -21, 3, -2.\nAnswer: -3266, -21, -4, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - a = -303, 4*a + 150 = -3*d + 607. What are the prime factors of d?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e7 + -3?\nAnswer: -ea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.97 + -2.8. Let r = -12.83 - i. Let m = -12.9 - r. Which is the closest to m? (a) 0.4 (b) -4\/3 (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 - 2*s - 30. Suppose -5*y + 30 - 5 = -2*c, 5*c + 2*y + 19 = 0. Let r be m(c). Solve 1 = x + r for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**1)**(-24)\/((j\/(j**(-1\/5)*j))\/j*j*j**(-26)*j) assuming j is positive.\nAnswer: j**(-116\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) - (sqrt(76)*-2 - sqrt(76)) - sqrt(76))\/sqrt(4))**2 + 0.\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of b**7\/210 - b**6\/120 - 5*b**3\/3 - 2. Let q(p) be the third derivative of m(p). What is the third derivative of q(l) wrt l?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-4))\/5*1*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 237*b - 30 = 227*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 8, 4, 18 in descending order.\nAnswer: 18, 8, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*o + 9*o - 316 - 92 + 25*o to the form h + y*o and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a millimeter in micrometers?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + o**2 - 1. Let n be i(1). Let y be n\/(-3) - (-2)\/(-6). Suppose y*t = -5*t + 20. Is 3 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-64)\/(-18))\/(4\/6)*3348\/(-496)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4950\/540 - (2\/(-12))\/(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -3*s**2 - 4*s - 2. Suppose 2*k = -2*k - 16. Let v(p) = -7*p**2 - 9*p - 5. Let y(g) = k*v(g) + 9*o(g). Calculate y(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of q**6\/72 + q**5\/60 + 7*q**4\/24 - 4*q**3\/3 - 18. Let s(h) be the third derivative of j(h). Does 35 divide s(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3\/8 (b) -5\/12 (c) -8 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16.9 - -15. Let s = w + -2.1. Which is the second biggest value? (a) -0.2 (b) s (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p. Let a be b(-6). Suppose 2*t - t - 44 = 0. Suppose -2*x + a*x = t. List the prime factors of x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = m - 283*s + 279*s, -4*m - 5*s + 53 = 0. Let a be (0 - -394) + -3 + 0. Calculate the highest common factor of a and m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.12943 and -0.05.\nAnswer: 0.0064715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -25 + 9?\nAnswer: -1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 21\/(441\/(-6)) + (-208)\/7. Let n = a - -35. Is -2\/9 greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -23 + -8384340?\nAnswer: -8384363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.498 in 2\/13, -15, -0.2, -2, 3.2, -8?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 PM and 4:55 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*c - 5*c. Let z be (c - -1)*(-2 + 1) - -10. What is the units digit of (309\/z)\/((-2)\/(-6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -165.3 - -175. Let s = t + -10. Let f = 24 - 23.6. What is the nearest to -3 in s, -4\/5, f?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b + 1. Let o be p(-6). Let y = 24 + o. What is the remainder when 36 is divided by y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x**3 - 10*x**2 - 6*x + 10. Let r be j(-8). Let q = r - -5435. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2983 + 3286. Which is the third smallest value? (a) -1\/3 (b) 2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 131 + 169*u + 36*u - 33 - 30 - 62 in the form f*u + m and give f.\nAnswer: 205","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -74 - -13. Let a = v - -125. Let s = a - 36. List the prime factors of s.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 5*m = -14 + 27, 1765*s - 11*m - 71 = 1761*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/2 (b) -5 (c) -41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6 - 1) + -3 + 1. What is r in -5*r**2 - 9 - l + 2*r**2 + 12*r = 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 98047845 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 5 (b) -4\/9 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 3 - 3. Suppose -i*w = -r - 11, -w + 6*w = 4*r + 32. Suppose -w*f = f + 2*y + 179, -5*y + 130 = -4*f. What is f rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4529800 by -12760.\nAnswer: -355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 i when two letters picked without replacement from piicieiii?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 11. Let l be (-2)\/z*(-116)\/(-1). Suppose 32 = 5*y + 2*i, -4*y = 3*i + 2*i - l. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/(-16))\/(1*-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 735?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (5\/10)\/((60\/6)\/(-5))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23.1 - -1.1. Let h = 2491.1 - 2491. Which is the third smallest value? (a) h (b) 0.3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -3*d**3 - 3*d**2 + d + 4. List the prime factors of s(-3).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 12*u - 2. Let p = 828 - 826. Calculate y(p).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (25402\/12701)\/(4*1\/(-43))?\nAnswer: -43\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of m**5\/2 - m**4\/6 + 2*m**3\/3 - 3*m**2\/2 + 3*m - 2. Let y be a(1). Calculate the highest common factor of y and 333.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13142?\nAnswer: 2, 6571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-147 - 125856\/(-855)) + 558\/10.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 709209*x**4 - 861103*x.\nAnswer: 8510508*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is two ninths of a day in minutes?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 l when three letters picked without replacement from lawubyl.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 20808 divided by 3\nAnswer: 6936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 50*x**5\/3 - 67904560*x**4 + 207495868924972*x**3\/3 + 912985433079832*x**2\/3 + 113431554147366*x + 33199482442568\/3 = 0.\nAnswer: -4, -1\/5, 2037139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(3328)*2)\/((sqrt(4) - (sqrt(144) + sqrt(144)*3))*-3).\nAnswer: 32*sqrt(13)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(1 + sqrt(153)*-2 + (sqrt(153) - (sqrt(153) + 2)) + -2))**2.\nAnswer: 900*sqrt(17) + 15525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -31, -65, -107, -157, -215, -281, -355?\n\"Answer: -4*t**2 - 22*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 8. Suppose 2*h = 8, -s = -n*h - 9 - 6. Suppose 3*d - 18 = 15. Calculate the remainder when s is divided by d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 620 and 67890?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide (251\/(-9)*(441 - -213))\/((-2)\/3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -21 - -232014?\nAnswer: 231443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (8 + 279\/(-33) - -1).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 3*h**3\/5 + 59*h**2\/5 - 30*h + 88\/5 = 0.\nAnswer: -22, 1, 4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -282*g**2 + 951*g - 317. Calculate n(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 4*k + 26 + 800, 4*a - 3*k - 1674 = 0. Let b be 2 + a + (-2 - 0). Suppose b - 1674 = -3*o. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-4))\/(2495\/13972)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 less than or equal to -593?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1441 - 1442. Let q = 7 - 5. Let z be 2\/(-2) + (q - 0). Put s, z, -2 in decreasing order.\nAnswer: z, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73133761 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*m + 30*m - 188 = 0. Let r = m - 94. Solve -14 = -4*t + 2*y + 4, -3*y - 9 = r for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1245, 1264, 1255, 1200, 1081, 880, 579, 160?\n\"Answer: -3*a**3 + 4*a**2 + 28*a + 1216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 11 = 2*f + c, -c = 1. Suppose f*z + 0*z - 15 = 0. Find the third derivative of 5*j**3 - 3*j**2 + j**6 + j**z - 6*j**3 wrt j.\nAnswer: 120*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2240952 divided by 3.\nAnswer: -746984","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 873?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - -5. Suppose 0 = 3*w + j - 5*j - 27, 4*w - d*j = 35. Sort 0.4, w, -0.3 in decreasing order.\nAnswer: w, 0.4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(2))**2*2*-6.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppblppbblbpbpp. What is prob of picking 2 b and 2 l?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3183?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3421699 + -48?\nAnswer: -48.3421699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.01? (a) -2\/7 (b) 2\/15 (c) 898776\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*d + 56 = -50*d for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10979352 to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 334*f + 210*f + 144*f.\nAnswer: 688*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of 5*y**3\/3 + y**2\/2 + 19*y. Determine d(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 871127\/410 + 3\/10. Let c = t - 1387. Is c a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -503 + -14?\nAnswer: -520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 677*i**2 + 2*i + 22. Let v be z(-5). Let c = -11148 + v. Let f = 92523\/16 - c. Find the common denominator of f and 81\/8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b59ca (base 16) to base 9.\nAnswer: -3331710","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 51*s - 2*s**2 + 44*s - 86*s - 2*s**2 + 3*s**2 + 2*s**2 + s**2 + 0*s + 0*s + (s**2 + 1 - 1)*(3 - 3 + 1).\nAnswer: 3*s**2 + 9*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 - -10. Let h be (-2)\/3 - 41\/u. Suppose -h = -4*q + 63. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 47*b - 59. Determine l(3).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z + 5*z - 4*z)*(-2 - 2*z**3 + 2) + 922*z**4 - 105733*z**3 + 105733*z**3 - 2*z**2 - 2*z**4 + 2*z**2.\nAnswer: 924*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 15 and 1209 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - 376?\nAnswer: -373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 + 6*z**2 + z - 1. Let y be b(6). Let k = 47 - y. What are the prime factors of k?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 0 - 5\/4*c + 1\/4*c**5 - 1\/2*c**4 - 7\/2*c**2 - 3*c**3 = 0.\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 608 and 80218?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 + 7*z**2 + 2. Determine g(8).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101001011110 (base 2) to base 13.\nAnswer: 1292","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.008 - 0.418. Let f = -0.21 - g. Which is greater: -1\/2 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a**4 - 6*a**3 - 1 + 0*a**4 + 4*a**4 - 295*a**2 + 296*a**2 to x*a + s*a**4 + m*a**2 + c*a**3 + q and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3 + 5.3. Suppose 3*x - 41 = -14. Let y be (-4)\/9 - 2\/x. Which is the third biggest value? (a) y (b) 4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 + p - 1. Suppose 0 = -4*m - 14 - 6. Let g(t) = t**3 + 5*t**2 - t - 4. Let o be g(m). Let l(z) = 5*z**2 - 4*z + 7. Give o*l(k) + 6*i(k).\nAnswer: -k**2 + 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 + -1)*8\/(-264)*-11.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 - (17 - 39) - -2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 3*i + 44 = -z, -3*i + 30 = 3*z. Let g = 15 + 2. What is the remainder when g is divided by i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -128 - -195. Suppose -4*g + k = -153, 3*g - 44 = -3*k + v. Is g a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*h = -57*h - 15, 0 = 5*z - h - 5 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 386069305?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2702 = -334*b + 527*b. What is the smallest common multiple of 569 and b?\nAnswer: 7966","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 152*c - 1451*c**2 - 63*c - 61*c - 28*c to the form r*c**2 + h*c + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -258*v**5 - 3417 - 3482 + 2*v**2 + 6672 wrt v.\nAnswer: -15480*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/10 and 85\/236.\nAnswer: 1180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d**3 + d**3 - d**3 - 5*d**3.\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1.43, 0.7, -1\/4, 1, 2\/17, 7\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/3)\/(48\/252)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(2400)*4)\/(-5*sqrt(648)*4).\nAnswer: 8*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add 3.66 and -198760.3.\nAnswer: -198756.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - 126?\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(4\/(20\/5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-1)*(526\/(-1578))\/((-2055)\/(-2))*-5?\nAnswer: 2\/137","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 - t**2 - 7*t - 8. Is n(-8) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1846836 and 144?\nAnswer: 7387344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 0 (c) 25\/6 (d) -14 (e) 0.5 (f) -10\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 81715?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*v**2*y**4 + v**2*y**2 - 2*v**2 + 11*v*y**5 - 10*v + y**4 - 14*y wrt y.\nAnswer: -48*v**2*y + 660*v*y**2 + 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/42*6\/(-20)*7070\/(-2424)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 + -15 - 3) + -1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 97573380 and 120?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (-1)\/(-20*(-9)\/(-876))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2699000 times 0.08?\nAnswer: 215920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -6*t**2 - 1 + 11 - 12*t - 3*t - 5*t. Let v be w(15). Let m = -718 - v. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3189\/130 or 25?\nAnswer: 3189\/130","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 4 + 12*a + 0 - 45*a. Let l(n) = 8*n - 1. Suppose 36 = 4*w - 0. Let r(h) = w*l(h) + 2*j(h). Determine r(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*s**4 + 3 - 3)*(-123*s - 143*s + 344*s).\nAnswer: -702*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-10)*(880\/(-1144))\/((-28)\/13).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23282455?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -4*d**2 - d. Let l(s) = 7*s**2 + 9*s. Let f(g) = l(g) + 4*w(g). Let y(n) = -3*n + 5*n + 0*n. What is f(y(c))?\nAnswer: -36*c**2 + 10*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 18, -35, -90, -147, -206, -267, -330?\n\"Answer: -s**2 - 50*s + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5447 = 8*q + 5815 for q.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seventeen quarters of a milligram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 437868.\nAnswer: -5\/437868","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*m + 33*m - y = -17, 0 = 5*m + 9*y + 7 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 - 9*j**2 + 2*j - 12. Let i be l(9). Let y(q) = q**3 + 68*q**2 - 67*q + 144. Let u be y(-69). What is the highest common divisor of i and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17984*l + 621330 + 1064318 + 45978 = 23146 for l.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28650 and 1054800?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*u**5 + 18\/5*u**3 + 0 + 2*u**4 + 14\/5*u**2 + 4\/5*u.\nAnswer: 2*u*(u + 1)**3*(u + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20100 (base 4) to base 9\nAnswer: -646","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 914b (base 16) in base 11?\nAnswer: 25a44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3984\/(-6972))\/((-220)\/(-14))?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 24*l - 15. Let m = 42 - 35. Let n(i) = i**2 - 7*i + 4. Let o be n(m). What is the tens digit of p(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 166223044?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 71001, -2977.\nAnswer: -2977, 4, 71001","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12159965\/107 or 113645?\nAnswer: 113645","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-171)\/(-12))\/(12\/64). Does 4 divide c\/6 + 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o**2 - 14*o + 13. Let h(f) = -f**2 - 5*f + 3. Let t be h(-7). Let i be c(t). Let z = -451\/6 - i. Put 0.5, -1, z in descending order.\nAnswer: 0.5, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mlm when three letters picked without replacement from {l: 1, m: 2, o: 7}?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 - 13*b + 17. Let x be g(13). Let z = x + 2. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - z = -25. What is the closest to -2 in 4, 2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.08? (a) 2\/19 (b) 0.2 (c) -11 (d) -2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 59290949\nAnswer: -1\/59290949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 26*k**3 + 105*k**2 + 11*k + 26. Give u(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 171*k - 81. Let w be i(7). Let p be -2 + 48\/30 - w\/10. Is -112 at least as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.2, -0.5, 3.71, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 30\/647, -2, 1\/26, -4\/13?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4645 and 57824676.\nAnswer: 929","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 + 26*o + 54. Give f(27).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -498, -254, 1464, 5394, 12274?\nAnswer: 22842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 4139 = -404. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -6, -2 in decreasing order.\nAnswer: 5, -2, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.09, 1, 2\/735, -2, 7?\nAnswer: 2\/735","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 2*z = -3*z + 13, 4*z + 2 = 2*u. Let x be ((-18)\/(-27))\/((-2)\/(-3)). Which is the nearest to x? (a) u (b) -1\/6 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of z**4\/12 - z**2\/2 - 76*z. Let i(k) be the second derivative of 5*k**4\/12 + k**3\/3 - 7*k**2\/2 - 7*k. What is -6*h(x) + i(x)?\nAnswer: -x**2 + 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1371038 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -300*q**2\/7 + 73260*q\/7 - 4472523\/7 = 0 for q.\nAnswer: 1221\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hbhknhhnnnhnbnnnnbkk. What is prob of picking 2 n?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2*g**3 - 452*g**2 - 457*g - 1927. Give s(-225).\nAnswer: -352","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1920 to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 404771, 404595, 404301, 403889, 403359?\n\"Answer: -59*g**2 + g + 404829","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 978 and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, -5, 0.1, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (272\/(-16) - -17)*(-1)\/3. Sort m, 4, 32.\nAnswer: m, 4, 32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22094 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 39 = 2*j. Suppose -112 = -2*z + j. Let r = z + 26. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 493469 and 9398?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 4. Suppose -6*v + w*d + 4 = -2*v, 5*v + 2*d - 5 = 0. Is v greater than or equal to -1\/68?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of 1\/3*q**3 + 1\/3*q**4 + 3*q - 1\/5*q**5 + 0 - q**2. Is 21 a factor of a(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6726820?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -4991696.852 to the nearest 100000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2. Let j(n) = -4*n + 11. Let b be j(5). Let z = 10 + b. Let w(o) = 4*o**2 + 1 - z + 0*o**2. Calculate v(w(c)).\nAnswer: -16*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17610012 to the nearest integer?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 215*v - 216*v + 3*h + 8, -2*v + 3*h + 19 = 0 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3618 or 7?\nAnswer: -3618","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 107960823 to the power of 1\/2, to the nearest integer?\nAnswer: 10390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 26 - 68 = 0 for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26.3369 + -26.3048977. Let f = d - 0.032. What is f rounded to 6 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120332333 (base 5) to base 8.\nAnswer: -2102604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4751 + 4765. Solve 0 = -h*r + 65 - 135 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + k**2 + 1)*(4*k + 18 - 18)*(-3 - 1 + 6).\nAnswer: 8*k**3 - 16*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = -2*n + 3*t, 4*n - 35*t + 38*t - 121 = -217 for n.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 335591 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 4*k**2 + k. Suppose 3*z + 2*z = 5. Let s be y(z). Suppose d + s*n - 156 = 0, -3*d + 0*d + 408 = 3*n. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3118784 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 459?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 - 1)*(-4*w + 6*w - w) - 6*w + 2*w + 2*w + (6 - 2 - 3)*(0 + 0 + w) + (-2 - 3 + 7)*(3*w + 0*w - 5*w) to v + u*w and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 10*k**5\/3 + 2314*k**4\/3 - 1676*k**3 - 27468*k**2 + 125406*k - 147042 = 0.\nAnswer: -1167\/5, -7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 - 2*a**3 - 2*a + 2*a - a**3 + (-2*a + 5*a - 2*a)*(-1 + a**2 + 1) + a**3 + a**2 - a**2 - 3*a**3 + 0*a**3 + a**3.\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 - 8*x - 7. Does 2 divide o(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 + (-328)\/(-14) - (-117)\/(-273) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 52.4 + -48. Let t = -4 + a. What is the nearest to -1 in -2, 1, t?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 147266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 107, 428, 963, 1712?\n\"Answer: 107*p**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1147956 centimeters in nanometers?\nAnswer: 1147956","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 2*u + 1703 = 0. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 4 (b) 0.5 (c) -5 (d) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + 3. Suppose 0 = -3*r + c*s + 18, -2*r = 2*s + 9 - 21. Find the second derivative of r*k**2 - 3*k**2 + k + 2*k**2 - 3*k wrt k.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1237497838?\nAnswer: 2, 4007, 154417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5199 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29008 = -155*w + 118*w. Are 2351\/3 and w nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6517842?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 - 60 = -3*j. Calculate the highest common divisor of j and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6a157 (base 11) to base 4.\nAnswer: 120233123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) 1 (b) 2 (c) -5 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 3*((sqrt(208) + 2)**2 + sqrt(208))*-6.\nAnswer: -3816 - 360*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 = -5*x + 239. Suppose -y + 3*y = x. What is the highest common factor of 160 and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 107.8, -2, -2\/7, 2\/3, 35, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a**5\/7 - 58*a**4 - 2290*a**3 - 178154*a**2\/7 + 16032*a\/7 + 178560\/7 = 0. What is a?\nAnswer: -155, -24, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of -k**4\/12 + 3*k**3\/2 + 5*k**2 + 61*k. Let j(s) = -s**2 + 6*s + 5. Let v be j(5). Let u be x(v). Let c(g) = g - 6. Give c(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29, -121, -275, -491, -769?\nAnswer: -1109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -2*t - 1286 - 1860, 5*t = 25. Let l = b - 2318\/3. Calculate the common denominator of l and (3 + -78)*4\/(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -0.3, 0.03 in descending order.\nAnswer: 0.4, 0.03, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1\/24 of a week?\nAnswer: 7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -2*f**3 - 100*f**2 - 376*f - 368 = 0?\nAnswer: -46, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26.1 + 23.1. Which is the closest to -5? (a) 1\/3 (b) t (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + h - 4 = 0. Let i(f) = 6*f. Let k be i(h). Suppose 0 = 3*d - 57 - k. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.2535 + -1.2542577. Round j to five dps.\nAnswer: -0.00076","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 12) to base 14.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 211618975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 391691 is divided by 109.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1948 and -0.4.\nAnswer: 779.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -23.8 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-15)\/(x*(x*x*x\/(x**8\/x))\/x)*x*x\/x**(2\/7)*x**(-3)\/x)**(-50) assuming x is positive.\nAnswer: x**(4650\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of -2*j**2 - 28*j - 12. Let f be c(-7). Factor 7\/8*m**2 + f + 7\/8*m**3 + 1\/4*m**4 + 1\/4*m.\nAnswer: m*(m + 1)*(m + 2)*(2*m + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 55 + (-7 - ((-11 - (7 - (-10 + 3))) + 10))?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 836025649 to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 u when two letters picked without replacement from dddddddduddddduuduu?\nAnswer: 70\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -196 + c**3 + 161 + 0*c - 2*c as d*c**2 + s + u*c + k*c**3 and give s.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 700035 and 885.\nAnswer: 700035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 925 - 898. Solve -28*v - 3 = -p*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 - 5*b**2 - 14*b + 27. Suppose 0 = -2*x - 2*x + 60. Suppose -4*j = -x - 25. Calculate the remainder when k(7) is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*l + 2*t, 17*t + 23 = 2*l + 20*t. Suppose -l*d - 348 = -2*q - 932, -584 = -4*d + q. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - -22) + (-48 - -18 - -18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 283060 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -383 (base 13) to base 11\nAnswer: -509","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*p + 202 = -148. Suppose 0 = -5*w - 2*i - 17, w - 4*i = i - p. Let x(c) = c + 3. Calculate x(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 38 - 8*o - 12 + 16 + 16 - 6. Let b be n(6). Let i be 2 + (-3)\/(-2 + 5). Solve x + b - i = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(((-48)\/(-18))\/(-8)). Suppose -4*r + 6 = -r - 3*v, 0 = -i*v + 9. What is the remainder when r is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 8:32 PM?\nAnswer: 5:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a - 5*a + 5*a - 144*a + 12*a - 28*a + (2*a + 0*a - a)*(0 - 3 - 2).\nAnswer: -163*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 5*d. Let u(q) be the second derivative of -q**6\/40 - 11*q**3\/3 + 12*q. Let j(n) be the second derivative of u(n). Determine v(j(w)).\nAnswer: -45*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = 3*y + m + 2*m, -4*y = m + 65. Let q be -10 - 1\/(-2)*-4. Let l = q - y. List the prime factors of l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -304 (base 5) to base 7\nAnswer: -142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 215990, 215992, 215994, 215996, 215998?\nAnswer: 216000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fifty-seven fifths of a gram?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l*l**(-14)*l*l**(-1\/5)*(l*(l*l**(-2\/15))\/l)**(-4\/11) assuming l is positive.\nAnswer: l**(-380\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 187 and 140437.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 33?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.17? (a) 0.3 (b) -5 (c) -0.1 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 1033955183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.562199233 rounded to 4 decimal places?\nAnswer: -2.5622","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -4*x + 13. Let m(v) = -5*v + 14. Calculate 6*m(n) - 7*z(n).\nAnswer: -2*n - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 3 = -2. Let p be (3\/(12\/8))\/m. Let u be 1 + (-11)\/6 - -1. Which is the biggest value? (a) p (b) -0.3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*z - 36*z + 21 = -4*p, -8*z - 18 = -2*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 31*y**3 - 2*y**2 + 2*y - 1. Let q be n(1). Let b(i) = i**2 - 7. Let h be b(4). Calculate the common denominator of -39\/2 and 15\/(-44)*q\/h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 105*r**2 - 24*r + 13. Is v(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 50\/4041 and -179\/1320.\nAnswer: 1778040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/(-6*(-2)\/(-32)))\/6. Put b, 2\/15, 1\/2 in ascending order.\nAnswer: 2\/15, 1\/2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6.60074cm?\nAnswer: 66007.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3102201233 (base 4) in base 2?\nAnswer: -11010010100001101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 48 - 46. Let t(x) be the first derivative of -1\/4*x**4 - 4 - 3*x + 3\/2*x**2 + 0*x**3. Calculate t(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 3 x when four letters picked without replacement from {h: 3, x: 4, a: 6}.\nAnswer: 24\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n + 26. Let j(t) = t**2 + 18*t + 16. Let d be j(-16). Let p be h(d). What is the greatest common factor of p and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(2\/17)\/f**5*((f**(-12)\/f)\/f*f)\/(f\/((f**(-1\/5)\/f)\/f)) assuming f is positive.\nAnswer: f**(-1792\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.9 + -5.89999945. What is j rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2349 a factor of 103024791?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -632423.1408 to the nearest 1000.\nAnswer: -632000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 f when two letters picked without replacement from {w: 7, t: 3, i: 1, f: 5}.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172*n = 177*n, -2*a - 5*n - 6 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dp when two letters picked without replacement from {d: 3, s: 1, p: 1}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 at most 35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z - 17 + 27 - 13. Let m(c) = c + 9. Let i be m(-3). Suppose i*d - d - 5 = -5*h, 5*d = 2*h + 5. Determine x(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4101 + -3?\nAnswer: 4065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -462673, -462663, -462641, -462601, -462537, -462443?\nAnswer: -462313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -14*r**3 + r**2 - 4*r + 6. Let n be g(4). Round n to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -3 + 3 + s. Let a(r) = 810*r - 16. Let j(c) = -1417*c + 31. Let f(i) = -7*a(i) - 4*j(i). Calculate f(q(x)).\nAnswer: -2*x - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 70910?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 74.42712ns?\nAnswer: 0.07442712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 524 + 126. Let p be (12\/15)\/(2\/n). Let y be 2592\/p - (-4)\/26. What is the highest common factor of 20 and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/10*(-10)\/8\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 153.2 and 16104510.\nAnswer: 16104663.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -19\/26 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, g: 3, n: 2, f: 2, u: 2, t: 2}. Give prob of picking 2 u.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + 357070?\nAnswer: 357068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -4*j - 2. Let q be l(-3). Let x(c) = 2*c + 6 - q + 4. Let o(b) = 3*b**2 - b**2 + b**2 - 5*b**2. Give x(o(g)).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 + 0)*((b + b - 3*b)*(-2*b + 1 - 1) + 2*b**2 - 5 + 5)*(2*b**2 + 8*b**2 - 3*b**2).\nAnswer: -28*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21 + (-6790)\/(-280))\/(1\/(-4)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.18 + 9.82. Let i = 10.38 - n. Round i to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 190 and 304.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 5 + 1)*(y**2 + 1 - 1 + (22 - 22 + 11*y)*(5*y - 4*y + 3*y)) to a*y + x*y**2 + q and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 6:45 AM?\nAnswer: 7:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -161551, -161550, -161549, -161548, -161547?\nAnswer: -161546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of u**4\/4 - 4*u**3\/3 + u**2\/2 + 5*u + 5. Suppose -b + 5 + 0 = 0. Calculate the remainder when g(b) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19704860 to the nearest integer?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2221798 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 142 = -3*l, 4*l + 8 = 4. Let y(s) = 3*s**3 - 2*s**2 - 2*s + 2. Let n be y(2). Solve -5*o + 2*x = d, -n + 4 = -5*x for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 295341466?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 13 divided by -33\nAnswer: -13\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 190 + -188. Suppose -d*f = -8*f + 3678. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5479489660 rounded to the nearest 100000?\nAnswer: 5479500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -248473\/192 or -1293?\nAnswer: -248473\/192","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*i - 10 + 11 - 10*i)*(-2*i**2 - 3*i**2 + 3*i**2) to k*i**2 + z*i + j*i**3 + o and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 10 - -575?\nAnswer: 585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ocop when four letters picked without replacement from {o: 2, p: 3, c: 13}.\nAnswer: 13\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m - 7. Let k be v(-8). Let d be ((-81)\/(-6))\/((-18)\/(-24)). Suppose -22*p = -d*p - 8. Solve -p*q - k = 3*r - 0, -4*q = r - 13 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2)\/32*-1*-11 and 137\/294.\nAnswer: 2352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9169*a**4 + 19933*a wrt a?\nAnswer: -110028*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 60\/30 + -16*1. Let t(i) = i**3 + 15*i**2 + 16*i + 21. What is t(g)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145982123?\nAnswer: 7, 2979227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 6*g - 146000. What is g rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -0.3, 5.76, 3, 5 in increasing order.\nAnswer: -0.3, 0.3, 3, 5, 5.76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -54478.80651 - -54486. Let m = 7.19 - p. What is m rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-three quarters of a litre?\nAnswer: 18250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 782179042?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -94 - -118. What is the remainder when 310 is divided by g?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -7. Suppose -2*m - j + 23 = n, -3*j = 5*m - 30 - 27. Is 4 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 576254380 a multiple of 1003?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4 - (-66)\/15)\/(1\/20). Let h = -10 - -14. What is the greatest common divisor of t and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 932*z - 2. Let t(w) = -35582*w**2 - 5*w - 2. Calculate f(t(b)).\nAnswer: -33162424*b**2 - 4660*b - 1866","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 + 23*s - 100. Calculate c(9).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-3*(4 + (sqrt(27)*-2)**2).\nAnswer: -1680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1005894069*h**4 - 444014664*h**2.\nAnswer: 24141457656*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 14*k**5\/5 - 248*k**4\/5 + 54*k**3\/5 + 9108*k**2\/5 + 20736*k\/5 + 5184\/5 = 0.\nAnswer: -3, -2\/7, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 66*r. Let p(z) = z. Give 5*j(g) + 165*p(g).\nAnswer: 495*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-6))\/(3\/(-477)). Let f = 55 - j. Let w be f\/(-4)*-4 + -2*116. What is w rounded to the nearest 10?\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h**2 - 22*h + 11. Let f be y(11). Let p be (f - 2)*3\/(-9)*-8. Let m be (-126)\/p + (-1)\/(-4). Which is the biggest value? (a) -4 (b) 1\/7 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2210617 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*z + 75*z + 8760 = 0. Sort -4, z, 6 in increasing order.\nAnswer: z, -4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(((-6)\/(-369))\/(-2)). Suppose 3 + 5 = 4*v. Suppose -v*j = -11*j + t. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1546?\nAnswer: 2, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5 and 415?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -391\/2 at most as big as -197?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x, 1 m, and 1 h when four letters picked without replacement from {x: 4, m: 5, h: 10}.\nAnswer: 25\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -2 (c) -2\/5 (d) -156761\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1309, 2622, 3935?\n\"Answer: 1313*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/15*(-4)\/(-4))\/(2299\/1254).\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 4*k + 134892, 0*k + 2*k - 101172 = 3*p. Let n = p + 64726. Round n to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -290 divided by -2\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -65745323 smaller than -65745341?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 153 - 141. Which is the biggest value? (a) 1 (b) 2\/5 (c) -3 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 479 (base 11) to base 14\nAnswer: 2ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 123 and 164.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3871 + 7408. List the prime factors of t.\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 10*m**2 + m + 3. Let s(i) = 31*i**2 + 5*i + 10. Let q(d) = -2*s(d) + 7*t(d). Let f(k) = -17*k**2 + 7*k - 2. Give 3*f(c) + 7*q(c).\nAnswer: 5*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 PM and 12:45 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**2 + v**2 + 5*v**2)*(2 - 1 + 1 + (-4 + 1 + 2)*(2 + 3 - 4))*(-1 - 5 + 1)*(-3*v - v + 5*v).\nAnswer: -30*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/(-7)*5\/(-105)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 158 - 158.1. Suppose 3*i = -2*v - 176, 4*v + 521 - 173 = -5*i. Let d = v + 576\/7. Which is the second smallest value? (a) 2\/17 (b) d (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 373 - 215. Calculate the remainder when 262 is divided by x.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 15 = -3*r, 0 = -3*u - 0*u + r + 15. Suppose -3*j = -1 - 2. What is the units digit of j\/(-5) - (-21)\/u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-2)\/k*k**(-5\/3)*k**22*k**12 assuming k is positive.\nAnswer: k**(88\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - -1300452?\nAnswer: 1300453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (21\/70)\/((-30)\/(-650)). Let u(r) be the first derivative of -20 + p*r**2 - 25\/3*r**3 + 0*r. What is the second derivative of u(w) wrt w?\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 5*i + 6. Let h be y(7). Suppose -h*q = -37*q - 84. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 345, 544, 743?\nAnswer: 942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12151 rounded to two decimal places?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -183 - -183. Do w and -4\/103 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 + z**2 - 1. Let d(m) = -27*m**3 - 5*m**2 + 2*m + 5. Determine -d(f) - 5*j(f).\nAnswer: 32*f**3 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 times -10418429?\nAnswer: 406318731","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 PM and 2:52 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -397 - -394. Let q = 0.04 + -0.34. What is the nearest to m in q, -2\/13, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1911 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3604642819 to the power of 1\/5, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1 + (2*sqrt(98))**2).\nAnswer: -393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 971855 to the power of 1\/3, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 602023.7km to meters.\nAnswer: 602023700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11021874.\nAnswer: 2, 3, 1836979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 45\/16, 0.4, -1\/10?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*v - 8, 3*h + 2 = -5*v. Let f be 21\/(-14)*h\/3. Which is smaller: 8\/7 or f?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19 + 21. Suppose 0 = -v + i*v. Solve v*u + 2*u + 8 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 3*n + 105. What is the second derivative of 3*k - 25*k**2 + 25*k**2 - 7*k**5 - n*k wrt k?\nAnswer: -140*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 6832427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 57356096 and 16320?\nAnswer: 860341440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -4*b - 11. Let t(z) = -z - 1. Let w(l) = 6*t(l) - y(l). Determine w(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.03085 + -13138.77.\nAnswer: -13138.80085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1267453 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooddood. What is prob of sequence do?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 62192628?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*x - 41 + 41 = 0. Solve -4*y + 2*y - 2 = x for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 + -6 + -33 + 18 + -34 + 2 + -4\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*b**2 + 33*b**2 - 24*b**2)*(-2*b - b - 2*b + (-2*b + 1 - 1)*(0 + 1 + 1))*(2 - 2 + 2*b).\nAnswer: -468*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 209 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a microsecond in nanoseconds?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qtq when three letters picked without replacement from {o: 1, w: 2, u: 1, q: 7, t: 2, a: 4}.\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*y**3 - y**3 + 0*y**3)*(0 + 2 - 4)*(1 - 1 - 4).\nAnswer: 72*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50.3*-72.\nAnswer: 3621.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 4*c + 26, -3*m - 6*c = -7*c + 17. Let b(g) = 4*g - g**3 - 4*g**2 - 3*g**3 - 7 + 3*g**3. What is the tens digit of b(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(34)\/(sqrt(288)*2 - sqrt(2)).\nAnswer: sqrt(17)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54797*u - 54789*u - 54790*u - 54794*u - 11*u**2 + 273965*u - 54795*u.\nAnswer: -11*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*m + 11*m - 105. Suppose -3*q + 27 - m = 0. What is k in 15*k**q + 265 - 265 + 5*k**3 = 0?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 3)*(-3*w**2 + 2*w**2 + 2*w**2) - 2*w**2 - w**2 + 4*w**2 + 14*w**2 - 126 + 126.\nAnswer: 16*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 107 = -3*j, 3*j + q = 5*q + 139. Let i = -54 + 39. Let w = i + j. List the prime factors of w.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 15540*m**2. Let k(r) = 32*r**2. Determine v(k(w)).\nAnswer: 15912960*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 2*c + 112. Let d = -70 + c. Calculate the common denominator of d and 67\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3903528*h + 0 - 1008890*h + 0.\nAnswer: 2894638*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 3*a = -1, 29 - 34 = n + 4*a. Is 62\/853 > n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f. Let t(q) be the third derivative of q**4\/24 - 698*q**2. Calculate 4*t(l) + 10*x(l).\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/18 and ((-22)\/27)\/(12\/(-117)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1292043 divided by 1797?\nAnswer: 719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 51951\/826 + -437\/7. Let i = c - -2\/59. Let l = -1.26645 - -1.76645. Does l = i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1027 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -31 (base 8) to base 7\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 6, 1, -6, -15, -26?\n\"Answer: -l**2 - 2*l + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.21 bigger than -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33 (base 5) to base 4.\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.77692124 rounded to 3 dps?\nAnswer: -8.777","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 7, 0.1, -4, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*45\/25)\/((-47)\/47)?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1*-16 - 2)*-2. Suppose m - 4 = -4*i. Let l = i - -6. Is 0 > l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of -11*h**6\/30 + 17*h**5\/30 - 39*h**2. What is the third derivative of y(o) wrt o?\nAnswer: -264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 12 = -2. Sort i, 0, -3 in increasing order.\nAnswer: -3, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13277110 to the nearest integer?\nAnswer: 3644","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - p + 30, 2*p + 5 + 5 = 0. Let t = 6 + f. Let s be (t\/12)\/((-15)\/(-12)). Is 0 less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.059 + 38.\nAnswer: 37.941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 37*j. Let a(k) = 222*k. Let t(f) = 6*a(f) - 37*m(f). Let w(p) = 2*p**2. Determine w(t(b)).\nAnswer: 2738*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.235 from 3343979724191.\nAnswer: 3343979724190.765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 PM and 7:34 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1c5 + -238?\nAnswer: -3fd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1299 + 1294. Sort -5\/26, v, -0.1, 2\/9 in increasing order.\nAnswer: v, -5\/26, -0.1, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/7 and -21\/17.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8310382 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 3*q - 1 - 3*q + 13*q - 3*q. Let t be 12\/54 + (-194)\/(-18). Suppose 5*s + 4*w = -t, 5 + 7 = -3*w. Determine h(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5272544 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pv when two letters picked without replacement from {p: 9, v: 2}.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - 160?\nAnswer: -160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -233*k + 71. Let q be u(-9). Suppose -q = -11*f + 1110. What are the prime factors of f?\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14435, 14442, 14431, 14402?\nAnswer: 14355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j = -6*j + 8. Let i be 4*4\/(-64)*j. Suppose 2*g - 66 = 2*m - 0*m, m - i = 0. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1279\/3 (b) 1 (c) -0.06 (d) 1\/6 (e) 10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2085 + 277*h + 145 + 31 - 273*h.\nAnswer: 4*h + 2261","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**0*z*(z*z**(-8))\/z)**(4\/7) assuming z is positive.\nAnswer: z**(-24\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.7, 12152\/5, 6 in descending order.\nAnswer: 12152\/5, 6, 2.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-2))\/i)\/i*i*i*i**10*(i*i**(-2\/7))\/i*i\/(i\/(i*((i*i**(-4\/5)*i)\/i)\/i*i)*i) assuming i is positive.\nAnswer: i**(452\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-8) + -2)*(-1)\/(-2).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -90*g**2*o*w - 27*g**2*w - w with respect to o.\nAnswer: -90*g**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3269?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -459 + 642. What are the prime factors of g?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + n + 2 + 3)*(327 + 924 - 413 + 2102 - 275).\nAnswer: 2665*n + 7995","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + z - 5*b = 3, b - 7 = 3*z. Let o be ((-8)\/16)\/(z\/12). Put 1, o, -2\/7, 5 in ascending order.\nAnswer: -2\/7, 1, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 0*u + 2*u - 52, 2*u + 60 = 4*r. Let l be (5 + 0)*r\/35. Solve 0 = l*p + f - 13, 5*p = -f + 29 - 1 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 4*u = -15. Suppose 3*g + 3 = t + u, 4*g = t + 2. Is g > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of m**6\/6 - 7*m**4\/12 + 8*m. Find the third derivative of r(v) wrt v.\nAnswer: 120*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42330 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 32, -1\/4, -2, 0.1, -1.67?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -212850 by 1.\nAnswer: -212850","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -3*f**2 + 22*f - 31. Let m be u(2). Let j(r) = 2 - 2 + 44*r. Is 4 a factor of j(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3169 - (12 - (6 - -1))?\nAnswer: 2, 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -9*f. Let a(g) = -9998753*g. Calculate a(h(z)).\nAnswer: 89988777*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 451 - 450.3736. What is g rounded to two decimal places?\nAnswer: 0.63","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 483\/20 - 67\/5. Calculate the common denominator of 3\/(-15) + (-1142)\/(-60) and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*k**3 - 19*k**3 + 28*k**3.\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-56)\/540)\/2*(1100\/154)\/25?\nAnswer: -2\/135","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255295.314 seconds in days?\nAnswer: 2.954806875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 4, -49144, 1.\nAnswer: -49144, 1, 4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooee when four letters picked without replacement from ooooeee?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2140385*u**2 - 3400*u - 680. Let i(z) = -9429*z**2 + 15*z + 3. Determine -680*i(a) - 3*j(a).\nAnswer: -9435*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (220\/242)\/((-116)\/(-22) - 5).\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14382669?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 637.3333 kilometers to micrometers.\nAnswer: 637333300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*y**3 - y**4 + 11*y**3 - 9*y**3 - 221*y to n*y**3 + w*y**2 + u*y + d*y**4 + p and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 + (5 - 4) + (3 - 2). Suppose -a*d - 16 = -d, z + 2*d = -4. What is the nearest to -2\/3 in z, 3\/4, -3?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17355 is divided by 7569.\nAnswer: 2217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(1\/12)*a\/(a**(-19)\/a)*(a**(-32)*a*a*a)\/a**0 assuming a is positive.\nAnswer: a**(-95\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 49867846 to the power of 1\/2, to the nearest integer?\nAnswer: 7062","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1731*n**3 - 1827?\nAnswer: 5193*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-8)*f**(1\/12)\/f*((f*f**3*f)\/f)**(1\/4) assuming f is positive.\nAnswer: f**(-95\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/6 in -1, -2, 0.07, 3?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*l**4 + 22*l**4 - 13*l**4)*(120*l + 175*l - 84*l).\nAnswer: 5275*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -4375*w. Let o(i) = i**2. What is o(u(m))?\nAnswer: 19140625*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 2*p, c - 1 = 5*c + 3*p for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*t**4 + 2 + 0 - 1336*t**2 + 1333*t**2 in the form z*t**2 + o*t**3 + i*t + g + h*t**4 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, s: 1, l: 2}. Give prob of picking 2 l.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -377878*o**6 - 134*o**2 - 157*o wrt o.\nAnswer: -45345360*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a micrometer in nanometers?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -91*u - 2651. Give z(-29).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7849513*s**4 - 13190411*s?\nAnswer: -94194156*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 0.2, -0.3 in decreasing order.\nAnswer: 17, 0.2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 748725\/2412 + -282 - (-2)\/24.\nAnswer: 57\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 5:27 PM?\nAnswer: 10:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 - -36. Suppose 5*o - 676 = -f, 0*o + 2*o = -2*f + 272. Suppose -5*i + o = -0*i. What is the remainder when i is divided by v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5049 and 397562?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 102429533?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of 3*r**8\/56 - 115*r**7\/42 - 55*r**4\/4 - 23*r + 1. What is the third derivative of n(g) wrt g?\nAnswer: 360*g**3 - 6900*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 567 and 115731?\nAnswer: 1041579","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = 4*y - 0*f, -y + 4*f = -3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 33359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -3*n + 2. Let l(h) = 0 + 129*h + 27 - 168*h. Calculate 27*b(x) - 2*l(x).\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 57\/(-12) - (-6)\/8. Let s be (8\/(-12))\/(n\/6). Which is the nearest to 6? (a) 2\/7 (b) -3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 6, -111, 3, -1, 1 in ascending order.\nAnswer: -111, -5, -1, 1, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 - 26 = -2*q. Let l = q + 97. Let z(u) = l - 124 - u**2 + 0*u**2. Let a(g) = 2*g. Calculate a(z(p)).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1054 + -709. What is the remainder when j is divided by 31?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 24, 0.1, -5\/3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -22*v. Let q(y) = -158*y + 158*y + y**2. Calculate q(r(p)).\nAnswer: 484*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10003033 - 331323?\nAnswer: 3011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20245 (base 15) to base 3.\nAnswer: -12011121002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of 0*z**6 + 0 + 0*z**2 + 0*z**3 + 1\/4*z**4 + 0*z**5 + 4*z + 0*z**7 + 1\/56*z**8. Find the third derivative of r(i) wrt i.\nAnswer: 120*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 3*p**3 - 9*p**2 + 70. What is the units digit of t(9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 15 = -2*p + 5*m, p + m - 3 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 + -29. Let p = -11 - l. Let x(c) = 4*c**2 + 2*c. Let r(b) be the first derivative of b**3\/3 + b**2\/2 + 1. Determine p*r(w) + x(w).\nAnswer: w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*p**5 + 0 + 0*p - 1\/2*p**4 + 1\/2*p**3 + 1\/2*p**2.\nAnswer: -p**2*(p - 1)*(p + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2022029416?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 93, 112.5 in increasing order.\nAnswer: 0.1, 93, 112.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 2) + 0 + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/1)\/((-2)\/(-3)). What is the common denominator of (2 - g) + 140\/(-48) and -73\/14?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 85 - 119. Let z = g + 32. Sort 9\/4, z, -5, -4.\nAnswer: -5, -4, z, 9\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/4864 and -113\/6688.\nAnswer: 53504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, x: 1, r: 1, y: 1, z: 1, t: 2}. What is prob of sequence ztrx?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 3. Suppose -15 = -4*c - 7. Solve -p*m + m = 2*f - c, 0 = -5*f - 3*m - 16 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 1\/3, 4, -4\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7 and 189?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -453*w - 661*w - 645 + 647 - 2*w**3 + w**3 to d*w**2 + q*w**3 + c*w + g and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4298808 + 4298807.5994638. Let q = j - -0.4009. What is q rounded to 5 dps?\nAnswer: 0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(162)*2 + -4 - (sqrt(162) + 0 + 0)) + -4 + -4) + -3.\nAnswer: -75 + 54*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0889784 to 4 decimal places.\nAnswer: -0.089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 42 - 51. Let m(q) = 6*q**3 + 4*q**2. Let o(h) = -3*h**3 - 2*h**2. Give k*o(t) - 4*m(t).\nAnswer: 3*t**3 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3\/3 + 162*h**2 - 25012*h\/3.\nAnswer: -2*h*(h - 169)*(h - 74)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 134, 2\/15, -4 in descending order.\nAnswer: 134, 2\/15, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v*v\/((((v*v**(2\/13)*v*v)\/v)\/v)\/v)))\/v)\/(((v\/v**8)\/v)\/v))\/(v\/(v*v**3\/v)*v*v**(-5\/6)*v) assuming v is positive.\nAnswer: v**(623\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**7\/d**(-1\/13)*d*d**(-5)*d*d*d**8)**23 assuming d is positive.\nAnswer: d**(3910\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 313 divided by -282623\nAnswer: -313\/282623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 641, 1291, 1919, 2513, 3061?\n\"Answer: -2*o**3 + o**2 + 661*o - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 815?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 329315 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 5*z + 2, -4*z = 4*d - d + 7. Let a = 3 - d. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b**2 + 449*b**3 + 11*b**4 + b**2 + 1800*b**3 - 12*b**4 + 7490*b wrt b.\nAnswer: -12*b**2 + 13494*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u**(2\/3)*u)*u*u**4 assuming u is positive.\nAnswer: u**(13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 0*p. Suppose 3*r + 27 = -p*x + 3*x, -4*x = -r - 21. Suppose v - 3*a + 1 = 2*v, -x = -4*v + a. Solve -t + 3 = -v for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n + 12. What is j(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 703153 and 279554.\nAnswer: 1067","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169*i - 174*i = -2080. Suppose 2*v = 2*t - i, 5*t + 5*v + 0*v = 1050. List the prime factors of t.\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5178323196?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o. Let y(i) = 2*i**5 - 4*i**4 + 4*i**2 - 6*i. Let r = -74 - -87. Let g = -14 + r. Let d(w) = g*y(w) - 4*m(w). Factor d(h).\nAnswer: -2*h*(h - 1)**3*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 138.599 to the nearest integer.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -62223106*w**2 - 84510*w + 21 wrt w.\nAnswer: -124446212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 340113 - -230?\nAnswer: 340343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117) + ((-1 + sqrt(117))*4)**2 - -5*(-2*sqrt(117))**2 - (-6*(sqrt(117) - (-5 + 1 + sqrt(117))))**2.\nAnswer: -93*sqrt(13) + 3652","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 198 - 178. What is the greatest common divisor of 10 and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -0.13817, 4\/109, -3?\nAnswer: 4\/109","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 252 - 167. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1395999022?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.97 - -0.03. Let v = g - 2.2. Let f = 0 + 0.2. Which is the closest to v? (a) 5 (b) 0.5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 72 and 2645820.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 94 + -55. What are the prime factors of q?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1208 + -1213.99. What is o rounded to zero decimal places?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - 223131211?\nAnswer: -223131222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5495.000005242 + -5495. Round y to seven decimal places.\nAnswer: 0.0000052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u**11)*u)**21 assuming u is positive.\nAnswer: u**(-210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2660 (base 10) to base 16\nAnswer: -a64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, -8, 21370, -5 in decreasing order.\nAnswer: 21370, 4, 0, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 6, o: 2}. What is prob of sequence obb?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 274944 and 284252.\nAnswer: 716","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l**(1\/2)*l))\/l)\/(l\/(l*l**(-1\/5))))\/(l**(-2)\/(l\/l**(2\/5))) assuming l is positive.\nAnswer: l**(9\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 845.778 hours in minutes?\nAnswer: 50746.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*w - 113 - 463 = -8 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20841606979 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 452462, -4, 4 in ascending order.\nAnswer: -4, 1, 4, 452462","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 64*i**4 - 12*i**3 + 23*i + 298298.\nAnswer: 256*i**3 - 36*i**2 + 23","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k + 49. Let o(y) = -4123*y**2. What is v(o(z))?\nAnswer: -8246*z**2 + 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -293*y = -275*y - 36 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/79497 and 67\/57816.\nAnswer: 635976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -181 - -189. Let y(d) = d**3 - 5*d**2 + 11*d + 6. List the prime factors of y(b).\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n**4 + 19625*n**3 + 19148430*n**2 - 213842880*n - 813335040 = 0. What is n?\nAnswer: -1968, -3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.056 times 0.047345?\nAnswer: 0.14468632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*j - 96949 + 255679 = 1182302. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -8.6\nAnswer: -2.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 70887 + -18730. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**19*n**(-4)*n\/n**(-2\/31)*n*n**33*n assuming n is positive.\nAnswer: n**(1583\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 254592968?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 9*b**2 - 65*b - 159. Let t be z(-3). What is the highest common factor of 195 and t?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1147 = -2*m + w + 1168, 17*w = -4*m - 281 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -72.4 - 20.6. Let s = 93.3 + i. Which is the nearest to -0.3? (a) -1 (b) 0.1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2 - 2 + (-1 + 2 - 3)*(1 + 2 - 1))*(-96 - 24 - 46 - 2*h) to n*h + u and give u.\nAnswer: 830","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/24 of a century?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2134, -2517, -2872, -3187, -3450?\n\"Answer: 2*d**3 + 2*d**2 - 403*d - 1735","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -447 + -5.\nAnswer: -452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*-3*(-5)\/(-24)*-1?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35582?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2024\/83, -0.5 in decreasing order.\nAnswer: 2024\/83, 1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 56078 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 774569 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 0\/(-5 - -3) - -84.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1746 in -2\/3, 4, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 445 + -146. Suppose 2*x - 83 = h. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2*m**2 + 4*m + 4. Suppose -64*g - 66 = -97*g. Give o(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2262 and 624?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2127 times 21.4\nAnswer: 45517.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -3*i**2 + 493*i. Let o(r) = 127539*r. Determine v(o(c)).\nAnswer: -48798589563*c**2 + 62876727*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-24)\/18*6\/(-2). Suppose z*u - 92 = -0*u. Find the common denominator of -117\/10 and (u\/(-2) - -3)\/8.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of -11\/3*v**3 - 1\/6*v**4 - 2*v + 51 + 37*v**2. Differentiate o(h) with respect to h.\nAnswer: -4*h - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fgfgggffffgg. Give prob of picking 2 f.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40\/(-455))\/(23000\/59800).\nAnswer: -8\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*n**4*v**2 - 2*n**4 - 3972*n**3*v**2 - 2*n**2 - n*v**2 + 737*v**2 + 3*v + 2 wrt n?\nAnswer: 240*n*v**2 - 48*n - 23832*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.4438*-4.8.\nAnswer: 6.93024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of 2*r**7\/105 - 8*r**3\/3 + 19*r**2\/2 - 11. Let l(u) be the second derivative of c(u). Differentiate l(d) wrt d.\nAnswer: 16*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + j - 2 = 1, 0 = -5*x + 4*j - 30. Let c = x - -4. What is the units digit of 4\/((-4)\/(-7)) - c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vyyx when four letters picked without replacement from {x: 2, n: 5, y: 4, v: 2}?\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1336273 is divided by 133617?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1242060145?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*((i*i**7)\/i)\/i))\/(i\/i**(3\/2)) assuming i is positive.\nAnswer: i**(-11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 25051 and 533?\nAnswer: 25051","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -526, -529, -532, -535, -538?\nAnswer: -541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 175*d - 19584. Give l(114).\nAnswer: 366","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-one eighths of a microgram?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 503.06 milligrams to micrograms.\nAnswer: 503060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/(-234)*-66*9\/(-3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119293 - 45*g**2 - 69*g**2 - g**2 + 119292.\nAnswer: -115*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9060 - -9061. Which is the second biggest value? (a) 8\/13 (b) i (c) 2 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82690 is divided by 304?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.4 and -622.\nAnswer: -622.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 449.3581 millennia to centuries.\nAnswer: 4493.581","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(77)*-4)\/(sqrt(7) - (sqrt(77)*-1)\/sqrt(11)).\nAnswer: 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(156)*3)\/(sqrt(108)\/(-5*sqrt(9))).\nAnswer: -45*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*d - 15 = -71*d. Suppose 5*h + 2*z = 673, -d*z + 401 = 3*h + z. List the prime factors of h.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 290, 748, 1962, 4304, 8146?\n\"Answer: 62*m**3 + 6*m**2 + 6*m + 216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -93\/40 < -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -10342000 to the nearest 100000.\nAnswer: -10300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 47 * -1514\nAnswer: -71158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(1\/3)\/y*y*y)**(-1\/52)*(((y*y\/(y*y**17\/y)*y)\/y)\/y)\/y**(-7))**(-8) assuming y is positive.\nAnswer: y**(2816\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 4*h = -7*h - 1398785, -3*i + 4*h - 1049120 = 0. Round i to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30313 - 11994. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 5:38 AM?\nAnswer: 6:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 5\/4 + (62\/8 - 7)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 18013, 17984, 17953, 17920, 17885?\n\"Answer: -z**2 - 26*z + 18040","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 1 + 3*k**2 - 2*k**2 + (-k - 4 + 4)*(2*k - 10*k + 0*k).\nAnswer: 9*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 456\/(-418) + (-31108)\/11858?\nAnswer: -26\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4617, -18503, -41633, -73995, -115577, -166367, -226353?\n\"Answer: 2*s**3 - 4634*s**2 + 2*s + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in 2\/25, 3, -0.1?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1276284803 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5435148289 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvfhvvvhvv. What is prob of sequence hvh?\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of 0*j**2 + 4\/3*j**3 + 16 + 0*j. Let y(x) = 5*x. Give y(v(o)).\nAnswer: 20*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -130 divided by -5.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/4512 and -49\/25944?\nAnswer: 103776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 48596.74ug?\nAnswer: 48.59674","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -2*r + 452, 0 = 3*r + 4*f - 543 - 149. Does 3 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 2\/5*x**2 + 2\/5*x**3 - 2\/5 - 2\/5*x = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 + 63 - (1 + 10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2574053?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 13484150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -17\/7*a - 1\/7*a**2 + 38\/7.\nAnswer: -(a - 2)*(a + 19)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3929 divided by 1?\nAnswer: -3929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 14 in ascending order.\nAnswer: -5, -1, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118682981 is divided by 297.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, b: 1, w: 3}. Give prob of picking 1 b and 3 m.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 11:59 PM?\nAnswer: 6:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -889104 divided by 4\nAnswer: -222276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-2 - (0 - 1)). Let r = -1990 - -9983\/5. Let l = r - 31\/5. Is q greater than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18123641 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 - 27 = 2*q - 5*i + 17, 0 = -q - i + 1 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = m + 288, w - 162 = -w + 5*m. Is w a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) -5 (b) 8 (c) -787 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -6*i**3 - 3*i. Let d(t) be the second derivative of 7*t**5\/20 - t**4\/12 + 2*t**3\/3 - 7*t. Calculate 3*d(z) + 4*v(z).\nAnswer: -3*z**3 - 3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 69285, 69288, 69293, 69300, 69309, 69320, 69333?\nAnswer: 69348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 27, 3, 1 in increasing order.\nAnswer: 1, 3, 4, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*j - j + 2. Suppose 0 = -j*z - 3*z - 3*w + 10, -5*w - 8 = -4*z. Solve -z*s + 0 + 2 = 2*o, 0 = 3*o + 9 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5567*r**2 - 5388*r wrt r?\nAnswer: -11134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2420 and 275?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/18*-9*-18. What is the common denominator of c\/(-45) + (-89)\/30 and 107\/10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*d - 9*d - 6*d = 6*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) -16 (b) 2\/29 (c) 2\/55\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50 and 7694825.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -58290284 by 172.\nAnswer: -338897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssss. What is prob of picking 2 s?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1771698057.\nAnswer: 3, 157, 457, 8231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2. Let p(w) = w. Let j(v) = 4*v. Let a(g) = -2*j(g) + 18*p(g). Give a(q(u)).\nAnswer: 10*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + 5*v**2 + 22*v - 100. Let t be k(6). Let i(d) be the second derivative of -1\/20*d**5 + 0 + 0*d**2 - 1\/3*d**4 + 1\/6*d**3 + 16*d. Give i(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/5)\/m)\/m**(3\/5)*m**(11\/5)\/m*m**(-8\/7) assuming m is positive.\nAnswer: m**(-68\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 13*b - 1. Let h be k(-1). Let i = h - -7. Let d = i + 10. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of -3*z**5\/10 + z**4\/6 + z**3\/6 - 3*z. Let s be c(-1). Let f = s + 5. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -173766\/13687 or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 4*w - 2. Suppose -v = 5*f - 1, 0*v - 2*f - 5 = -5*v. Let g(p) = p. Let q = 3 + -6. Give q*g(n) + v*j(n).\nAnswer: n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 - 44*i**2 - 121*i + 902. Determine c(46).\nAnswer: -432","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -23, 0.4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n - 444 = -3*n. Let p = n + 357. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 2*h**2 + 30*h + 72 = 0.\nAnswer: -12, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-2*(sqrt(128) + -1) + (sqrt(128)*2 + sqrt(128))*-6)*1*-4)**2.\nAnswer: -40960*sqrt(2) + 3277056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 363042 and 2739.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 106 times -13?\nAnswer: -1378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 820830 to the nearest ten thousand.\nAnswer: 820000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1554902231?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134680019.\nAnswer: 23, 103, 139, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10425 - 100?\nAnswer: 10325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 5 - 5)*(952 - 76*o + 28*o - 929)*(o**3 - 3*o + 2*o + 3*o) as u*o**4 + b*o**2 + j + k*o**3 + a*o and give u.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(-4) - 66\/(-8). Suppose -742 = 199*d - 2674 - 1650. What is the least common multiple of d and (150\/9)\/5*q?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4778277 by -21.\nAnswer: 227537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-40)\/(-50)*15\/(-54) + (-1234)\/36 and 119\/2946.\nAnswer: 2946","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.4 + -0.4. Let z = -168.7 + 158.7. Which is the second biggest value? (a) -2\/3 (b) v (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(0 + (-3 - -2)). Let s(u) = -3*u + 2*u + m*u**2 + u**2. Let w be s(2). Solve -14 = y + 3*x - 4, 5*y + w*x = -24 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -10, -3, 2 in decreasing order.\nAnswer: 2, -1, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010 - 0?\nAnswer: 1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b**3 - 24*b**2 + 17*b + 69. Let g be q(11). Solve 11*f - 13*f = 4*m + g, -m - 8 = -4*f for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*g*q**5 + 275846*g*q**3 - 541729*g*q - g wrt q.\nAnswer: -40*g*q**3 + 1655076*g*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -24665 (b) -4\/7 (c) 87\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(76) + sqrt(76)*2*-5 - sqrt(76))\/(sqrt(144)*-2 - sqrt(144)) - 2*((sqrt(1900) - (sqrt(1900)*-1 - sqrt(1900) - sqrt(1900)))*-6)**2).\nAnswer: -5*sqrt(19)\/3 + 6566400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 55 + 5 = 0. Suppose 0 = -4*g - 2*t + 362, 346 + 100 = 5*g - 4*t. What is the greatest common factor of g and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32 + 32 - 7*b**3 - 18*b**3.\nAnswer: -25*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - z - 17 = -0*z, 0 = -4*z + 4. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/1*(-6305)\/485.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -1, -21 in ascending order.\nAnswer: -21, -1, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 13 + 12 = 0. Let h be 10\/(-85) - 427\/(-17). Suppose 5*r - h - 65 = 0. Solve 4*u = -y - 15, 2*y - r = t*u - u for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 10 = 3*f. Suppose p + 3 = -4*m, 5*m - 12 = f*p - 32. Suppose -3*v = -2*x + 11, 5*x + 3 - 20 = 4*v. Sort 4, v, m.\nAnswer: v, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of 0*p**6 - 13 + 0*p**4 + 0*p**5 - 24\/7*p**7 + 3*p - 5\/6*p**3 + 3\/2*p**2. Find the second derivative of n(h) wrt h.\nAnswer: -2880*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 - 266 = -32*v. Calculate the remainder when v is divided by 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence htt when three letters picked without replacement from {h: 1, q: 1, t: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 335566.\nAnswer: 2, 7, 11, 2179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0074, -101, 0.075.\nAnswer: -101, -0.0074, 0.075","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -62, -127, -192, -257?\nAnswer: -322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, d: 2, b: 1, z: 1, e: 7, t: 2}. Give prob of picking 2 d and 1 t.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0.054 (b) 4 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1042 - 4570 = -196*p for p.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o**3 + 4*o**2 - 5*o + 4. Let f = -171 - -173. Determine t(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/5 of a milligram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -10*f - 20. Suppose j = 4*u - 1, -3*u = 5*j + 2*u + 55. Let d be v(j). What are the prime factors of (-144)\/(-60)*d\/4?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.14 and -83.62.\nAnswer: -83.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 493*i - 11376 = 10316 for i.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*d**3 - 46*d**3 + 26*d**3.\nAnswer: -5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 57, -7, 0.06 in increasing order.\nAnswer: -7, 0.06, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 3294125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-12)\/(-4) - 2)*(2 - 313). Let d(i) = 197*i**3 + 2*i + 1. Let b be d(-1). Let c = b - o. Calculate the remainder when c is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2968896929 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 + 2*w - 2. Let k be d(3). Let v(m) = m**3 - 16*m + 4. Let a be v(4). Sort -4, k, a in ascending order.\nAnswer: k, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47969554?\nAnswer: 2, 23984777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 500*n + 3. Let h(o) = -504*o - 4. Calculate -4*h(r) - 6*i(r).\nAnswer: -984*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000728527685 to 7 decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*((-2)\/(-10) + 45\/25). Let v = l + 3. Solve 1 = -v*y + 6 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*y = 15*y + 58 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w**2 + 12*w + 5. Let c be l(0). Let d(v) = -2*v**2 + v - 1. Let a(t) = -4*t**2 + 3*t - 1. Determine c*d(r) - 3*a(r).\nAnswer: 2*r**2 - 4*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/(c\/c**2)*c))\/c**(-2\/7)*(c*c\/(c\/c**(-1\/3)))**(1\/12))\/(((c\/(c\/(c**(1\/3)*c)))\/(c**5\/c))\/((c**(-2)\/c*c)\/c*c**(-4)*c)) assuming c is positive.\nAnswer: c**(-629\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -6 and -0.03573962?\nAnswer: 5.96426038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 163.9999777 + -164. Round s to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9791443 by 2.\nAnswer: -9791443\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4700883?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in 0.5, 4, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 52*q**2 - 116*q - 2. Determine d(2).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + 88?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of z**4\/4 - z**3\/6 + 3*z. What are the prime factors of x(-2)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 6:25 AM?\nAnswer: 2:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 - 30*o**2 - 88*o + 33. Let l(k) = 48*k**2 - 292*k - 5. Let b be l(6). What is the hundreds digit of c(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6*1\/(-4))\/(10191\/(-373670)).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = a - 2*d - 20707, d = -5*a + 103553. Let y = a + -12381. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3795*z**2 + 13*z - 347719 wrt z.\nAnswer: 7590*z + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 17\/4 of a micrometer?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(1\/2)*s*s\/(s\/s**2)*s**(-2)*s**(1\/3))\/((s*((s*s*s**(-3))\/s)\/s)**33)**(1\/5) assuming s is positive.\nAnswer: s**(481\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -12. Suppose -x*p = -3*p. Let g = -1806 + 1811. Which is the second smallest value? (a) p (b) 2\/17 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 24 = -17*t. Suppose -28*y = -t*y - 9386. List the prime factors of y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191910 is divided by 5448?\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.49 and 1092.6.\nAnswer: -535.374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7284 a factor of 1266578340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-3))\/(-33*(-7)\/(-63))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 19069 divided by -1\nAnswer: -19069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 PM and 1:21 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2258 and 3613929?\nAnswer: 1129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/6)\/(2\/(-18)). Let b = 4 - 2. Let t be (-6)\/(b*3\/(-4)). Solve -t*z - m = 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12 - -30?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.3 - -1.4. Let p = -0.0992 + n. Round p to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of -k**3\/2 - 6*k**2 + 3*k. Let r be u(-5). Solve 2*n = 1 - r for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 8\/15 of a hour?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 AM and 4:11 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*n**3 + 1132*n**2 - 79520*n - 80656 = 0. What is n?\nAnswer: -1, 142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z - 13. Let c = 0 - -2. What is the remainder when (c\/(-4))\/((-2)\/60) is divided by t(-11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -208, -707, -1494, -2569?\n\"Answer: -144*j**2 - 67*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -77 + 112. Calculate the least common multiple of q and 5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a kilometer in centimeters?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 15*r + 138. Let p be f(-9). Suppose 0 = -p*x - 5*y + 781, -3*y - 5 = -11. List the prime factors of x.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44 + 2*r - 3*r + 2*r - 44.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 173508.\nAnswer: 2, 3, 19, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 413 + 849. Round r to the nearest ten.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.05, 0.5, -52648.\nAnswer: -52648, -1, -0.05, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.0009, 0.3, 3\/4, -5 in ascending order.\nAnswer: -5, -4, 0.0009, 0.3, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 24\/7 (b) -8 (c) 2\/13 (d) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 630.9999148 + -631. What is z rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) -6 (c) 22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 8199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 0*k = 0. Let o(n) = 2*n**2 + 0*n**2 + 4*n - 5*n + k*n**2 - 4. Let g(m) = -4*m**2 + 2*m + 7. What is -4*g(b) - 7*o(b)?\nAnswer: 2*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of 10*i**4\/3 - i**3\/6 + i**2\/2 - 5*i. List the prime factors of o(1).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.82722 rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + (-1 - 0))*(-30)\/15.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/12)\/(200\/64)\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 PM and 2:36 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2694?\nAnswer: 2, 3, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 140 + -130. Calculate the highest common factor of m and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*(3\/(-6) + 2 + 0). Suppose -k - 1 + 21 = -2*y, -4*k + p*y = -55. Suppose -22 = -b - b. Solve -2*u + m = -b, m = -6*u + u + k for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7053 = 175*k + 360*k - 32198 for k.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 39141371 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1109 - -12165\/11. Suppose 184 = -4*k - 48. Calculate the common denominator of i and k\/5*15\/(-9).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 651262837 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-517)\/(-12408) - (-2)\/(-3).\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -107*g + 4729. Is t(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 + 6*i**2 + 6*i - 10. Determine y(5).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/256*-8*-2)\/((-4)\/88)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 - 11*m - 2. Let g be b(11). Let s(l) be the second derivative of 4*l**3\/3 + 3*l**2 - l. Let f(k) = -k - 1. Calculate g*s(p) - 12*f(p).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*b = b - 33 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x**2 + 6*x - 7. Suppose 2*a - 4*l - 4 = 2, 5*l + 40 = -4*a. What is z(a)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 37500 and 6100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95*r**2 + 13*r**3 - 95*r**2.\nAnswer: 13*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, -7, 0, 2, 1.1?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 98*m - 98*m - 13*m**3 + (-10*m - 48 + 48)*(-42*m + 31*m**2 + 42*m).\nAnswer: -323*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**3 - 478*i**2 + 27265*i + 7907424 = 0. What is i?\nAnswer: -96, 287","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 110596*z**2. Let d(k) = -2*k**2. Calculate m(d(v)).\nAnswer: 442384*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*l - 3. Let i be 7\/2 - l\/2. Suppose -4*q + 2 = 6, 3*y = 4*q + 4. Solve y = -i*w - 3*w - 20 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - -8. Suppose d = 6*d - 235. Calculate the remainder when d is divided by j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 586*s**3 + 342*s**3 - 206*s**3 + 3*s to u*s + m*s**2 + n*s**3 + t and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1848?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2913607 rounded to 3 decimal places?\nAnswer: 0.291","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000023912 to seven dps.\nAnswer: 0.0000239","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q - 69*q + 134 = 12. Solve -80*f = -2*c - 84*f - 2, q*c + f + 2 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 520 and 85488.\nAnswer: 427440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 124 + -121. Let l(a) = 6533329*a + 13. Let c be l(s). Round c to the nearest one million.\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 + 16*k**2 + 49*k + 12. Let o be q(-12). Suppose -4*s + o*z + 2*z = -524, -s + 3*z = -126. List the prime factors of s.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 19 - a**3 - 5 + a**2 - 4*a + 3*a + 28. Let f be h(0). Let t be 2 - ((-121)\/7 - (-12)\/f). Is 19 at most as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9*(-2)\/(-3))\/1. Let p(q) = -8*q - 2. Let k be p(r). Suppose 3*h - 10 = 2*s - k, -2*s = -4*h - 38. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-56*t + 939*t + 412*t)*(-4*t + 4*t - t)*((4*t - 4*t - 2*t)*(1 + 4 - 6) - 1 + t + 1) in the form f*t**3 + j + k*t**2 + v*t and give f.\nAnswer: -3885","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 61 + -53. Sort -1, l, -3, 2 in increasing order.\nAnswer: -3, -1, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5535\/61 or 14.3?\nAnswer: 14.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 9 + 1 = 0. Suppose s*r - r - 330 = 0. Is r a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41743 is divided by 20848.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-895)\/(-2148))\/((-175)\/30).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15 != -74?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -130, -1233, -4076, -9481, -18270, -31265, -49288?\nAnswer: -73161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 32\/(-6) - (-9)\/(54\/(-4)). Let m be 2 - (w\/4)\/((-15)\/30). Are 2\/15 and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k = 32 + 45. Suppose k*v - 14*v = 0. What is the closest to v in 2, 3, 0.16?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46256.32*-5.\nAnswer: -231281.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 12\/25 of a meter?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*s + 21*s - 289*s**2 + 287*s**2.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -4*u + 101. Calculate y(30).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 5:58 AM?\nAnswer: 12:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 3 - 1)*(5*h - 3*h + 0*h) + (-2 + 0 + 0)*(9 + 3*h - 9) to the form u*h + x and give u.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 16*z - 12. Let o be ((-104)\/(-16))\/((-3)\/(-6)). Let u be j(o). Suppose -u = 7*i - 553. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence clll when four letters picked without replacement from lccldcclc.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1029\/5 + 205. Let n = -72.11 + 74. Let o = n + 0.11. What is the closest to o in -0.5, t, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 1*(2 + sqrt(475)) + sqrt(114)\/((sqrt(36) - (sqrt(36) - (sqrt(180)\/sqrt(5) + sqrt(36)) - sqrt(36)))\/sqrt(6)) + -5)**2.\nAnswer: -160*sqrt(19)\/3 + 5089\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/24*-21*(-591456)\/(-20496)\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 449 + -678. Let r = x + 229.00427. Round r to 4 dps.\nAnswer: 0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-15)*3*1\/5\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvevvmevevvmveevvvvv. What is prob of sequence mv?\nAnswer: 13\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(2\/3)*h**4 assuming h is positive.\nAnswer: h**(14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -164996 or -164995?\nAnswer: -164996","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5\/4 of a centimeter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.07 - 4.07. Let y = -3.2 + -0.8. Let w = y - n. Put -2, w, -2\/19 in decreasing order.\nAnswer: w, -2\/19, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1299?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -72.7 times 5?\nAnswer: -363.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 + g**2 - g + 1. Let w(o) = 6*o**2 - 8*o - 5. Suppose 2*u + 2*n = -3 - 1, 2 = -4*u - 2*n. Let x(k) = u*w(k) - d(k). Calculate x(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000859523776 rounded to 7 decimal places?\nAnswer: -0.000086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29 - 27 - 37*g**3 + 18*g**3.\nAnswer: -19*g**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45 is divided by ((-6)\/(-12))\/((-3)\/(-72)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (4\/(-8))\/((-6)\/(-744))*-25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (210\/(-140))\/(1\/(-2)). Solve 2\/7*o**5 + 0 + 0*o + 10\/7*o**4 + 0*o**2 + 0*o**k = 0.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -1\/3*f**3 - 1\/3*f**4 + f**2 - 2\/3 + 1\/3*f = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -197*f - 479. Let o be y(24). Round o to the nearest one hundred.\nAnswer: -5200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -b + 4*l, -3*b = b + 5*l + 9. Let v be (-10)\/4*b\/5. Find the third derivative of -w**3 + v*w**2 - 5*w**2 + 7*w**3 - 4*w**2 wrt w.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 2476 = 13*i - 15*i, 2*i = -2*k - 2448. Let n = i - -1244. Calculate the smallest common multiple of ((-1)\/(-3))\/((-3)\/(-18)) and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -32121\/13 - -2471. Put -99, 0.1, t in increasing order.\nAnswer: -99, 0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 40860998 to the nearest 1000000.\nAnswer: 41000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 73\/(-5) - 9\/(-15). Let d = m + 19. Suppose 7 = -2*b + n, -b + d = 3*n + 12. What is the biggest value in b, -2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2001711*u + 2001774*u - 630 = 0 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 2*b + 2 = 18, 4*i = 3*b + 18. Suppose -48 = i*v - 57. Let q be 1\/(-1 - (-32)\/28) - v. Solve q*d + 3*k = -3, -k = -3*d - 4*k for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 248 a factor of 2765696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, d: 2, p: 4, w: 1, s: 2}. What is prob of sequence ps?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 191251*x**2 - x + 1. Let s be n(2). Let c be s + -1 + (-2)\/1. Suppose -p - 4*p = -c. What is p rounded to the nearest 10000?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 3 = 3*t - 4, 0 = -3*t + 6. Suppose l - 3*q - 11 = 5*l, -5*l = -2*q - 15. Suppose r + 15 = -2*r. Sort l, r, w in decreasing order.\nAnswer: w, l, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9*(3 - 4))\/1. Let z be (f - 9) + (-1)\/3. What is the second smallest value in 1\/3, z, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (76\/(-10) - -7)\/((-1)\/135)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1263?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 + 20*t + 23. Let i(n) = -3*n**2 + 59*n + 68. Let b(a) = 17*h(a) - 6*i(a). Let k be b(13). Let d = k + 44. What are the prime factors of d?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2. Suppose -i + 2*i - 3*p + 4 = 0, 2 = p. Let t(g) = -9*g**2 + 9*g**i + 10*g**2. Calculate c(t(r)).\nAnswer: 100*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -4*t**2 - 2 + 0*t**3 + 3 + t**3. Let a be j(4). Let x be 4*1 + a + -2. Solve x = -2*p + 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(81\/6)*51*39\/(-884)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10 - -11)*(2 + -2). Suppose j*w + 496 = 3*x + 4*w, 3*x - 468 = 3*w. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1141121936?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 141 + -1aa5b0?\nAnswer: -1aa46d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 + 6*p**2 - 2*p - 19. Give h(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 - 2191 - 492 = -299*t for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(2)*-2*6 + (sqrt(12) + (sqrt(72)\/sqrt(2))\/sqrt(3))\/sqrt(6) - (sqrt(50) - (1 + sqrt(200))**2 - (4 + sqrt(800) + sqrt(50)))*-5.\nAnswer: -1027 - 210*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 + 6*p**2 + p + 4. Suppose 2*y = -y + 12. What is the units digit of f(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-90)\/(-45))\/((-4)\/(2 + -4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/7380 and (-14)\/(-231) + (-127954)\/(-64944) - (3 + -1).\nAnswer: 14760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 60042?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/4 (b) -4 (c) 0 (d) -1 (e) -2\/19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3991, -4783, -6089, -7897, -10195?\n\"Answer: 2*a**3 - 269*a**2 + a - 3725","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -561 - -611. Suppose 36*f = k*f - 644. Calculate the remainder when 179 is divided by f.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 + (-9909)\/(-765))\/((-16)\/140*(-42)\/12)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09603 + 30?\nAnswer: 29.90397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 - 0)\/(3\/(-2)). Is x\/(-10) + (-858)\/(-15) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/(-3)*2\/(-286)*2013.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -5*m**2 - 3*m - 4. Let k be q(-3). Let h = 42 + k. Suppose 100 = h*b + 86. Solve 2*z = 5*t + 20, 0 = t - 2*z + b + 5 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p - 3*p + 2*p)*(0*p**3 + 3*p**3 - p**3)*(4 - 2 + 0)*(5 - 2 + 0).\nAnswer: -12*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -4*g - g**2 - 11 - 4*g + 2. Let t be w(-6). Suppose -i - 5*x + t = 0, 0*i + 5*i + x - 39 = 0. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45008929 is divided by 11252231.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 262 is divided by 49.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*r**5 - 539165*r**2*x - 3*r*x - 2350*r + 3*x + 2 wrt r?\nAnswer: 140*r**3 - 1078330*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of 3*p**4\/4 + 11*p**3 - p**2\/2 - 8*p - 31. Let q be s(-11). Solve i = 4*v + 19, -q*v + 5 = -4*v for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8956, -17922, -26888, -35854, -44820, -53786?\nAnswer: -62752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 + 23. Let i(a) = -a**2 + 8*a - 2. Let k be i(p). Let n = 4 + -1. Sort k, 0, n in increasing order.\nAnswer: 0, n, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 i when two letters picked without replacement from iiwwwiwiiwwnwwiiiji?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21.679 - -15.466. Round w to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -4*a + 6*a + 8, 2*a = 4. Let c(v) = -109*v - 254. Let f be c(y). What is the greatest common divisor of 1168 and f?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03 * 18768.\nAnswer: 563.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 5, -1\/3, 30, 0.1, -0.27?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 81193 + -41490. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.56, 3, -1, 0.1, -4, -41 in descending order.\nAnswer: 3, 0.56, 0.1, 0, -1, -4, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 96\/7, 1\/7, 4\/3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k, 0*k + k - 10 = 5*w. Let t(z) = 10*z + 62. Let p be t(-6). Suppose 0 = p*j + 2*j - 2*m + 66, 0 = 3*j + 2*m + 53. Which is bigger: w or j?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*y - 13*y**4 + 4*y + (-4*y - 3*y + 6*y)*(-2*y**3 + y**3 - y**3) - y**4 + 5*y**4 - 2*y**4.\nAnswer: -9*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - -1. Let i(d) = 5*d**2 + 2*d - 1. Let z be i(-2). Suppose -7*t = 2*c - 2*t + z, 4*c - 4*t - 12 = 0. Sort c, -4, r.\nAnswer: -4, c, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1370 and 2630.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2157*v**2 - 49*v**2 - 10530 + 21053 - 10523.\nAnswer: 2108*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -656, -2613, -5872, -10433, -16296?\n\"Answer: -651*h**2 - 4*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -209, 37 in decreasing order.\nAnswer: 37, 2, -209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 - 8 + 2)*(1 + 1 - 4)*(3*u**3 - 2*u**2 + 2*u**2).\nAnswer: 132*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of 3*r**4\/4 + 74*r**3\/3 + r**2\/2 - 9*r - 959. What is the second derivative of i(d) wrt d?\nAnswer: 18*d + 148","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - i = -2 + 6, 2*p + 7 + 64 = -0*p - 3*i for p.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 4*o**2 - o + 1. Let n(l) = -3*l**3 - 8*l**2 + 190*l + 23. Let g(d) = 2*a(d) + n(d). What is the derivative of g(s) wrt s?\nAnswer: -9*s**2 + 188","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-24)\/n*n*n**(-2\/23)*n assuming n is positive.\nAnswer: n**(-531\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 - (-3 - -1))*1. Suppose 10*x - k*a = 5*x + 1150, a + 680 = 3*x. Calculate the greatest common factor of x and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.5, -3, 160, -2\/17, -4 in increasing order.\nAnswer: -4, -3, -0.5, -2\/17, 1, 160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 114\/364349?\nAnswer: 114\/364349","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84 is divided by 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 630 - 348. Suppose -7*d + 152 = -m. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3 = -20. Let y = l + -14. Suppose 2*b - 6*b = -y*n - 43, 4*n + 27 = b. Is b a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*r + 108 = 22*r. Suppose 5*h - 2*n - 270 = 0, -3*h - n + 9 + 164 = 0. Suppose 53*d + 9 = h*d. What is the greatest common divisor of d and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**2\/(h**(-2)*h))\/(h**(-1\/3))**(-2\/3) assuming h is positive.\nAnswer: h**(25\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22*q**5*x + 2923*q**4*x + 192*q*x - 21*q + 186*x wrt q?\nAnswer: -440*q**3*x + 35076*q**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 8, e: 2}. Give prob of picking 1 h and 3 e.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1705.344 - -152401.\nAnswer: 154106.344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-14)\/(-4)*(2 - 0). Let d = -4 + w. Suppose 0 = -d*l + 3*t + t + 96, l + 2*t = 32. Solve 3*k - 3 = 3*s, -2*s = 5*k + l - 9 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-3*(sqrt(72) + (sqrt(72) - (1*sqrt(72) + sqrt(72)))*-3)\/sqrt(3))\/(-6*(sqrt(36)\/(sqrt(6)\/sqrt(2)) + (sqrt(12) - sqrt(36)\/(2*sqrt(3))))))**2.\nAnswer: 128\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -60*g - 294. Let a be l(-5). Let j(t) = -2*t**2 + 12*t + 7. Let h(x) = -4*x**2 + 24*x + 15. Determine a*h(n) - 13*j(n).\nAnswer: 2*n**2 - 12*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l**2. Suppose -o = -0*j - 2*j + 3, j + 5*o + 4 = 0. Let t be z(j). Suppose -2*w + 5*y = 2*w - 797, 0 = t*w - 4*y - 394. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 AM and 9:47 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 AM and 4:46 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 71*j + 1709. Determine n(-22).\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -79, -94, -113, -130, -139, -134?\n\"Answer: h**3 - 8*h**2 + 2*h - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 - 4. Let q be (1\/60)\/((-594)\/19272). Let h = q - -11\/27. Which is the fourth biggest value? (a) 0.04 (b) -2\/9 (c) h (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 3*l - l = 30, -5*g + 35 = 3*l for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d - 30. Let j(u) = -103*u**2. Give j(r(s)).\nAnswer: -103*s**2 + 6180*s - 92700","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = 3*g + t, -6 = -5*g + 3*t + 7 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3001 + 3023. Solve -5*n + 85 = -d*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -0*z + 15, 160 = 5*y - 5*z. List the prime factors of y.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 19 = -2*w, 345*w + 408*w - 754*w - 32 = n + 2*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -880181*j**3 + 2*j**2 - 7220179 wrt j?\nAnswer: -2640543*j**2 + 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Expand (6*f**2 - 2*f**2 - 3*f**2)*(2*f**2 + 0*f + 0*f) - 2*f**4 + 2*f**4 + 2*f**4 + (f - f - f)*(-4*f**3 + f**2 - f**2) + 6*f**4 - f**4 + 0*f**4.\nAnswer: 13*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -194, -365, -516, -641, -734, -789, -800, -761?\nAnswer: -666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25851 + -10815. Suppose -l = -8*c + 13676. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -5*b - 3. Let m(n) = n**3 + 2*n**2 - 3*n. What is the least common multiple of m(b) and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 24\/6 - 5 - -74. What is the third derivative of -m*g**2 - 403*g + 109*g**3 - 404*g + 807*g wrt g?\nAnswer: 654","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 642*b + 3353387 = -645*b, -3*k + 2515035 = -4*b. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11*i + 1 - 5*i + 7*i)*(-4 + 4 - i)*(0*i + i + 0*i)*(2*i - 4*i + i) as p*i**3 + v + f*i + m*i**4 + d*i**2 and give m.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20\/63 + 11\/42. Sort -0.3, -10, o, 0 in ascending order.\nAnswer: -10, -0.3, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (1 - 3) + (2 - -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*m + m + m)*(-18*m + 12*m + 12*m) in the form j*m**2 + o*m + a and give j.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.87 + -0.13. Let f = r - -12. Let x = f + -4. Sort 2, 4\/3, x in decreasing order.\nAnswer: x, 2, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 94.5952597 and -28.\nAnswer: 66.5952597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, -5, -2, 3, -22, 50 in ascending order.\nAnswer: -27, -22, -5, -2, 3, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d + 1291 - d - 2600 + 1309.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (54\/1665)\/(900\/(-1000)*(-4)\/6)?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k**2 + 1. Let p(w) = -87*w**3 + 12*w**2 + w - 6. Determine -6*l(a) - p(a).\nAnswer: 87*a**3 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*m - 12 + 4 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 561211?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000024615 to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*p + 4*p - 6*p + (1 - 47 - 5)*(2*p + 0 + 0) to v*p + r and give v.\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -6464\nAnswer: -1292.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-16)\/12*(-9)\/6. Suppose 235 - 231 = w*z. Is -1 less than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 37, 123, 273, 493, 789, 1167, 1633?\n\"Answer: i**3 + 26*i**2 + i + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 + i + 50. Suppose -3*b - 20 = -b - 4*g, -g + 5 = -4*b. Let t be u(b). Suppose 0 = 5*s + 5*h - t, 3*s - 40 = -s - h. Is s a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.26 in -1\/6, 4\/3, 1\/7, -5\/3, -4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 AM and 1:38 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, i: 3}. Give prob of sequence ki.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 68 = -m, -3*q + 116 = 2*m - 38. Let h be (-2 + m\/27)*(-504)\/(-420). What is p in 2\/3*p**3 + 0 - 2\/9*p**4 + 0*p + h*p**2 = 0?\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152249 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*p + 3*t + 2, 7*p - 3*t - 326 = -289 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b + b + b)*(-3 + 4 - 2)*(-463 + 463 - 66*b**2).\nAnswer: -132*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of i**4\/12 + i**3\/2 - 3*i**2\/2 - 9*i. Suppose 4*m + 2 = 3*m. Let p(s) = s**2 + 2*s - 2. Determine m*o(l) + 3*p(l).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 71\/1034 or -1?\nAnswer: 71\/1034","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2039 - 2009. Let m = -80 + 168. Calculate the remainder when m is divided by d.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 40 = 2*f. Suppose -n + 5*n = f. Solve m = -0 + n for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -10781, -10782, -10783?\n\"Answer: -f - 10780","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2111806 at least -2111805?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (180\/(-27))\/(2\/9). List the prime factors of 22950\/(-36)*4\/a*6.\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22 + 7. Calculate the remainder when 142 is divided by o.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = o - 1, o + 3 = w. Suppose w*f - 10*f = -20. Suppose 0*c - c + 10 = -3*l, 0 = -f*c + l + 95. Calculate the highest common divisor of c and 125.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -77882 by 5.\nAnswer: -77882\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21 - -26. What is the second biggest value in 4, j, 0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 654727053 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 1841?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10036?\nAnswer: 2, 13, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(-4)*82\/(-287)*10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-6)\/4)*6\/4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 233054517 or -2?\nAnswer: 233054517","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4218991 and 1.6?\nAnswer: 6750385.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 10 = 6. What is the second derivative of 5*o - 4*o + o**2 + o - n*o**2 wrt o?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 + 2*u + 5. Determine q(-5).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/150*(-136 - -161)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 98751 + 4?\nAnswer: 98755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*d**2 - 16*d + 8.\nAnswer: 2*(d - 2)*(3*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 AM and 5:06 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -69*m. Let h(i) be the third derivative of 0 - 5*i**2 + 0*i + 0*i**3 + 0*i**4 + 1\/30*i**5. What is t(h(w))?\nAnswer: -138*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -0*p - 5*u + 22, 0 = -3*p + 5*u - 26. Does 4 divide (48\/(-20))\/(p\/5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18 + (-3264)\/160)*20\/3?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 578000 to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/(-5))\/(4\/10). Suppose -r*w = 1 - 9. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154 is divided by 58.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h - 2. Determine k(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1893092557 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 49 and 105?\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a + 2*a + 6*a - a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 8:44 PM?\nAnswer: 5:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 - 6*k**2 - k - 9. Give l(4).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, m: 3, s: 5}. Give prob of sequence smm.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 5, 4, -361.\nAnswer: -361, -5, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 17 - 23. Suppose 0 = -2*y + 5*y - 12. Solve -y*w + 2*h + p = 0, -2*w + 0*h = 4*h - 20 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**1*o)\/o*((o\/(((o*o*(o*o*(o\/((o*o**(-15))\/o*o*o))\/o)\/o)\/o*o)\/o))\/o)\/o)**(39\/7) assuming o is positive.\nAnswer: o**(-624\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 81744641 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 2*j - 5*j = 2, 2*k + 5*j = 14. Suppose 3*b = k*s - 247, -4*b + 11 + 572 = 5*s. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 1\/4 (b) 4 (c) -1\/5 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5\/117 or -1?\nAnswer: -5\/117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.353 times -7375?\nAnswer: -297603.375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5714249 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94050044.\nAnswer: 2, 11, 61, 67, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 24 + (-105 + 29 - -33) - 13.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 5 = s - 4, -4*m - 24 = -s. Suppose 0 = -2*l + s*l - 4. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30307773 divided by -30307773?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*b**2 - 12 + 10 + 2*b**2.\nAnswer: 7*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 329 or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 58.33994mg in tonnes?\nAnswer: 0.00000005833994","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -12*t**2. Let q(c) = 2*c**2 - 137*c + 137*c. What is i(q(m))?\nAnswer: -48*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/6 - (-20)\/12. Suppose -c + 1 - 3 = a*r, 0 = -c - 3*r - 4. Suppose c*q - 6*q + 3280000 = 0. What is q rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*g**3 + 16*g**3 - 16*g**3.\nAnswer: -47*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 3 x when four letters picked without replacement from vvqvaxxvvvxvvxqvv.\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4b6d + 1?\nAnswer: 4b6e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*j + 9*b - 7*b - 12, -7 = 5*j - 3*b for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 415 - 168. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 7) in base 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-2))\/(-20 + 6)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3 + 121*n**2\/2 - 125*n.\nAnswer: n*(n - 2)*(2*n + 125)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -10001110000 (base 2) to base 13\nAnswer: -695","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/69, 80979, -0.4.\nAnswer: -0.4, 2\/69, 80979","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*z = 30*z + 3*i + 6, z + 11 = 2*i for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 548217.7 millennia to months.\nAnswer: 6578612400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f + 101 = 150. Solve -2*b + f = -3*l - 0*l, -3*l + b = 8 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 3 = 7. Let x be 6618\/(-24) - b\/(-4). What is the tens digit of x\/(-12) - 3*1\/1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**4 + 490*f**3 - 6*f**2 - 1474*f - 980.\nAnswer: 2*(f - 2)*(f + 1)**2*(f + 245)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1480 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: Suppose 3*g - 23 = -4*z, -3*g - 2*g = -2*z + 5. Suppose 6 - 1 = z*c. Let m(x) = 11*x**2 + x. What are the prime factors of m(c)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/3 + (-18)\/30\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 310 + 49 = 0. Let f = 56 + b. Let i = 46 + f. What is the remainder when 57 is divided by i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 10. Let s = 354913 + -354901. Sort 4, -4, x, s in decreasing order.\nAnswer: s, 4, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3510 (base 11) to base 6\nAnswer: 33201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w - 2*w - 2*w)*(2*w**4 + 5*w**3 + 0*w**4 - 4*w**3 - 2*w**2).\nAnswer: -8*w**5 - 4*w**4 + 8*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (10 + 3 + -27 - -20) + 9?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of 1281*d**5\/5 + 1992*d + 2148. What is the first derivative of l(c) wrt c?\nAnswer: 5124*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4452021251 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 6228021, 12456045, 18684069, 24912093?\n\"Answer: 6228024*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 - 17*z - 44. Determine y(18).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 3 = 0, -3*q + 18 + 50 = w. What is the first derivative of -33*d**2 - q*d**2 - 26*d**2 - 69 wrt d?\nAnswer: -164*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((sqrt(1053) - (-1 + sqrt(1053)))*3 + (sqrt(1053) - (2 + sqrt(1053)*2)))*-5)**2.\nAnswer: -630*sqrt(13) + 26374","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6.1 + 0.1. Let w = 963 + -963. Put k, w, 4\/9 in decreasing order.\nAnswer: 4\/9, w, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 0 + 2\/3*f**4 + 0*f - 5\/3*f**3 - 2\/3*f**2 + 5\/3*f**5 = 0.\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.08*-51.6454\nAnswer: 4.131632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 1853044.\nAnswer: -1\/1853044","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(450) - sqrt(50))\/sqrt(10).\nAnswer: -19*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 minus 33574?\nAnswer: -33573.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b + 5*b - 10. Let t be (3\/b)\/(15\/10). Let w(v) = 4*v**3 + v**2 - 2*v + 2. What is the units digit of w(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001824 rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1449\/126*520\/230?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 3*u**4\/8 + 12323079*u**3\/2 + 33746283564498*u**2 + 61608610121734881384*u = 0.\nAnswer: -5476924, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -6*o + 3. Let h be r(2). Let p(f) = 3*f + 24. Let d be p(h). Sort 2, d, 1, 5 in decreasing order.\nAnswer: 5, 2, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -5*s + 107. Let h be v(2). Which is bigger: h or 96?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 716109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 14*j + 2. Let y(p) = p. Let a(k) = w(k) - 2*y(k). Let b(n) = -80 + 87 - 7 + 5*n. Give b(a(h)).\nAnswer: 60*h + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 33908.379 + -33884. Let o = g - 26.37. Let n = o - -2. What is n rounded to 3 dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 5*o - 4*s = -40, 4*s = 0. Suppose 3 = 3*z - j, -3*z - 2*z - 4*j + 22 = 0. Suppose 0*q = 2*w + 3*q + z, q - 18 = 2*w. Is w not equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 10 = 5. List the prime factors of c + (-63)\/(-6)*2.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 59585, 119171, 178757, 238343, 297929?\nAnswer: 357515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7839*v**5 - 10*v**4 - 1539*v**2 - 125 wrt v?\nAnswer: -470340*v**2 - 240*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.0635774g?\nAnswer: 63577.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 + 5*j**2 - 2*j - 5. Let t be o(-4). Let d be -15*1\/2*(-344)\/12. Let g = -212 + d. Solve t = k + 3*h, -2*h - 27 = -g*k - 5*h for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 3*g. Let t(c) = -c**2 + 7*c + 7. Let f(j) = j + 1. Let i(h) = -14*f(h) + 2*t(h). What is i(s(b))?\nAnswer: -18*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttppptpptttfttp. What is prob of sequence ppp?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 1 + 55*j - 3 + 2.\nAnswer: 55*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - -13?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**2\/4 - 561*x - 104907.\nAnswer: -3*(x + 374)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-24)*6*(-8)\/6\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10*o + 3*o + 0*o)*(o + 0*o - 4*o) + 0*o**2 + 3*o**2 + o**2 - 2*o**2 + 0 + 0 as j*o**2 + u*o + x and give j.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 57 and 68248?\nAnswer: 204744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h**(-2\/27)\/h)**30 assuming h is positive.\nAnswer: h**(250\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7413 divided by -42?\nAnswer: -353\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 2*s + 3*u - 7*u, -3*s - 1 = 4*u. Sort -1, 2, s.\nAnswer: -1, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -2*o**2 + 140*o - 138 = 0.\nAnswer: 1, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of f**5\/20 - f**4\/12 + f**3\/6 - f**2 - 10*f - 1. Determine w(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h - 3. Let w be u(3). Let d be (-4 + 1)*(-2)\/w. Let p(x) = -x**2 - 4*x - 5. Let l be p(-4). Sort l, d, -4 in descending order.\nAnswer: d, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.04 in 19\/12, 0, 397?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/150801 and -22\/21543.\nAnswer: 150801","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + 0 + 53)*1. Suppose 7 = 8*r - 33. Suppose r*y = y + h. Is 12 less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27616 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9 * 3427.\nAnswer: -30843","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 4) in base 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 26b7 + -a?\nAnswer: 26ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 211766.\nAnswer: 2, 105883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 4*y = -11, 5*k - 21 = -3*y + 16. Suppose -m + k*o = -14 - 5, -5*o + 157 = 3*m. Suppose -l = 3*l - m. What are the prime factors of l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 + 5*d**2 - 4*d - 16. What is r(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5.3 less than or equal to 0.004?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.13 - 0.13. Put v, -1\/7, -4, 5 in descending order.\nAnswer: 5, v, -1\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1135 is divided by 554?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -2\/23850313?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -122 + 217. Let t = -59 + c. Let a be 27\/t*1*4. Solve r - 3 = a*s - 4, -3*r = 5*s - 11 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 + -8)*((-44)\/(-4) - 13). Solve 0 = -19*i + 71 - k for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000095257227 to 7 dps.\nAnswer: 0.0000095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - ((-7 - -4) + -5 + 5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1095, 8518, 28631, 67788, 132343?\n\"Answer: 1059*p**3 - 9*p**2 + 37*p + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11306541 to the power of 1\/2, to the nearest integer?\nAnswer: 3363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t*t*t**(5\/6)*t*t**(-19))\/(t**7)**(-2\/3) assuming t is positive.\nAnswer: t**(-17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 6)*(151*o**2 - 80870 - o + 80870)*(-6 + o**2 + 6).\nAnswer: -302*o**4 + 2*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -4 + sqrt(396)*-2.\nAnswer: -12*sqrt(11) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/35*(-2 - -7). Let v = -29 + 29.2. Let n = v + 0.1. What is the closest to 1\/3 in 3, j, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 + 5*h**2 - 7*h - 5. Calculate i(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 750 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37 + (11 + -1)\/5 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*u**3 + 156*u**2 - 86*u**2 - 70*u**2.\nAnswer: -8*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -192 - -607. List the prime factors of y.\nAnswer: 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert f111 (base 16) to base 10.\nAnswer: 61713","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 25767.891 to the nearest ten.\nAnswer: 25770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 57, 0.4, 4\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 - 2*k + 20. Let a be t(0). Let h be ((-12)\/(-15))\/(2\/a). Suppose 2*m - h = 0, -4*w - 4 + 12 = 2*m. Sort w, 5, 3 in descending order.\nAnswer: 5, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -21*a**2 + 46*a - 166. Determine k(3).\nAnswer: -217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 13) to base 15\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 53349 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6547 + -6536. Solve -2*h + 3*a = -23, 4*h = -166*a + 165*a + m for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 - 6. Let r(f) = f**3 - 8*f**2 - 5*f - 11. Suppose 3*c + 0*c = 27. Let p be r(c). What is the highest common divisor of o and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 4, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2*-4)\/4)\/((-17)\/(102\/15))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*l**5 - 6*l + 3*l**5 - 10*l**5 + 2*l**5 wrt l.\nAnswer: -20*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express p**2 - 1 - 2*p**3 - 8 + 2*p - 3*p**2 - 3*p as y*p**3 + x + f*p + a*p**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z. Let b(x) = -18*x. Give 3*b(f) - 72*s(f).\nAnswer: 18*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 63.55 times 5?\nAnswer: 317.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 26748*t + 39773.\nAnswer: 26748","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 42 - 9 - 3*f - 2*f + 9. Let a be d(8). Suppose 5*s = 3*s + c + a, c = s - 2. Which is smaller: s or -1\/47?\nAnswer: -1\/47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3 + 2*c**2 - 4\/3*c.\nAnswer: 2*(c - 1)*(3*c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22*l - 290*l + 1 - 529*l**5 - 1656*l wrt l.\nAnswer: -10580*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 0)*(3*u**4 - 3*u**4 + 2*u**4)*(-4 + 5 - 5).\nAnswer: -8*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -0.0055 (c) 0.094 (d) 0.11 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 641 * 13218.\nAnswer: 8472738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/120 and -59\/5205?\nAnswer: 41640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 79968 a multiple of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-32)*32\/(-20).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 68\/7. Let w = -36 - -36.43. Let b = w + -0.03. What is the biggest value in b, m, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.18115 to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u**3 + 7*u**2 + 18*u - 12. Let n be c(5). Let p be n + (1 - -2 - 3) - 1. Solve 6 = -p*i, 6 - 1 = l - 3*i for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25104 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28.462 - 29.2. Let z = -4.7 + 5.4. Let m = z + v. Round m to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 4. Let u be w*(1 - 0) + 5. Suppose -u*y = -7 - 2. Solve -2*v - y*n = -10, -4*v - 2*n = -n for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5 - 0 - (4 - 2). Suppose -3*w + 7 = -4*a, 2*w - 5*a - n + 10 = 0. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7715 divided by 369.\nAnswer: -7715\/369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 19910 rounded to the nearest 100?\nAnswer: 19900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 36*r - 4906. What is t(136)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0 and 2146.\nAnswer: 2146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1537 and -0.5?\nAnswer: -0.07685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s = 9*s + q + 6, 3*s - 5*q + 24 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -5*z**4\/3 + 451575*z**3 - 88009430*z**2 + 12736031980*z\/3 + 4333805000 = 0?\nAnswer: -1, 98, 270750","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 8*i - 80 = 0. Solve i = -5*q - 0*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (8 - 9) + -8?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 + 3*h. Let q(z) = -2*z**2 + 5*z. Let s(k) = -5*g(k) + 3*q(k). Let v be s(0). Let o be 1\/1 + (9 - 9). Sort o, -1, v in descending order.\nAnswer: o, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -20, -68, -116, -164, -212?\n\"Answer: -48*s + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1959 divided by 2069\nAnswer: 1959\/2069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y\/y**(-1\/9)*y*y*y*y))**(-2\/9) assuming y is positive.\nAnswer: y**(92\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-4 + (sqrt(126)\/sqrt(36) + (-2*sqrt(84))\/sqrt(6))\/(sqrt(200) + 5*(sqrt(200) + (sqrt(200)*2 - sqrt(200))))).\nAnswer: -12 - 9*sqrt(7)\/220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 36107 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (80\/5 + -4)*6\/(-18)*2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*c + 6*c - 60 = -5*c for c.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.0463017526 minus 16?\nAnswer: -17.0463017526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 39*h**5 - 2*h**2 - 209 wrt h?\nAnswer: 2340*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 0 - 5) + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.35566 rounded to 1 decimal place?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(110)\/sqrt(5))\/(sqrt(1176)\/sqrt(12)).\nAnswer: 4*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -37463 and -0.7?\nAnswer: 26224.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9985.616 meters in millimeters?\nAnswer: 9985616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c - 2. Let n be g(1). Let v be 14*(-3 + -1)\/n. Suppose 2*j - 7*j + 3*k = 0, -2*j = -4*k + v. Is j a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 l, and 1 i when three letters picked without replacement from iiiiwxixlwililaxiw?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -174, -347, -520?\n\"Answer: -173*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 31 + 39 - 10*y**2 + y + 0*y - 19*y**2 wrt y?\nAnswer: -58*y + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -1 + (-107 - -110) - 7.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -128*x**4 - 139*x**4 + 23*x**2 + 3372 + 265*x**4 - 2902*x**3 - 20*x**2 wrt x.\nAnswer: -8*x**3 - 8706*x**2 + 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-22)\/33 + 184\/6 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87.36 rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.14804 to 3 dps.\nAnswer: -0.148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 408961 or -2?\nAnswer: 408961","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/148257 and -58\/15?\nAnswer: 741285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(637) + 4*(sqrt(637) - (sqrt(637) + (2 + sqrt(637) - sqrt(637))))**2 - sqrt(637)*-1*-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -4*o - 6. Determine y(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = -l - 38. Let v = -74 - l. What is the units digit of (6\/(-9))\/((-5)\/v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10479?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -3*s**3 - 521*s**2 + 66563*s + 67083. Let w(c) = -8*c**3 - 1044*c**2 + 133126*c + 134167. Let r(o) = 5*m(o) - 2*w(o). Factor r(b).\nAnswer: (b - 259)**2*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 4*k**2 + 146 + 12*k - 138 - 3*k**2. Give a(-8).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1101 - 1090. Solve 5 = 2*u + w for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 3 = -5*r, 2*r + 4*n - 7 = 3. Is 18 a factor of 4\/r + 2380\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28194595\/(-5497128) + (-1)\/72.\nAnswer: -36\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 - 13. Let o = i - 0. Suppose 0 = -o*g - 10, 4*g + 2942 = -3*h + 3*g. What is h rounded to the nearest one hundred?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(416)\/(-1*sqrt(8)) - (sqrt(52) - 3*(sqrt(52) + sqrt(832) + sqrt(52))))\/(1*sqrt(36) - -4*(sqrt(4) - (sqrt(64) - sqrt(4)))).\nAnswer: -16*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 7 = 6. Let l = q - -6. What is the remainder when l is divided by ((-21)\/(-9))\/((-1)\/(-3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76360850 minus 39?\nAnswer: 76360811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/(-24)*2)\/((-193)\/(-20265)*245).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/9*-2*-1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -48848 greater than or equal to -370?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f + 4*u + 25335 = 25357, 3*f + 4*u = 13 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27418.27 + 27898. Let b = g - 478. What is the nearest to b in -2, -4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 96687?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -117\/2829020 and 107\/3975920.\nAnswer: 147109040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21670 and 220.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 741 + -740.99793. Round m to four decimal places.\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4077990809 to the power of 1\/3, to the nearest integer?\nAnswer: 1598","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98*n + 98*n - 6*n**3 - 34*n**3 - 3*n**3 + 26*n**3.\nAnswer: -17*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -838\nAnswer: 1\/838","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/5))**(10\/11)\/((d*d**(-1\/4))\/d*d**(-2\/5))*(d*d*d**1*d*(d*d\/d**(-6))\/d)\/(((d*d**(1\/2))\/d)\/((d\/d**4)\/d)) assuming d is positive.\nAnswer: d**(1493\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/8 - 14\/(-8). Suppose 3*t + 7 = 2*b, 11 = 3*b + b - 3*t. Let v = b + d. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(2*(-6)\/16). Suppose -q*k = -4*s - 20, 2*s - 9 = -5*k + 2. What is the first derivative of 1 + 0 + z**3 + z**3 - 4*z**k wrt z?\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -243 greater than or equal to -243?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -14, 2, 0.2, 1, -2, 0.02?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 222, 223, 214, 189, 142?\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8748 = v - 4*m, -4*v + 20*m - 17*m + 35044 = 0. List the prime factors of v.\nAnswer: 2, 7, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27699862313 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 142655, 0.5, -1136, 0.2 in decreasing order.\nAnswer: 142655, 0.5, 0.2, -1136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 - 19*s**2 - 15*s - 27. What is n(20)?\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1339 + -1328. Calculate the remainder when 129 is divided by h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.06*-8456.\nAnswer: -17419.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.08914 - -3.91814. Let k = x + 0.071. Let o = 3.89938 - k. Round o to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1230 divide 3213990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10402 - -52014\/5. Let l be (8 - 5)*1\/(-3). Sort -21, f, l in decreasing order.\nAnswer: f, l, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -741 + -1?\nAnswer: -742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 473*s - 8. Let t(x) = x**2 + 6*x - 19. Let m be t(-8). Let p be g(m). Let d = p + 2868. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r - 6. Let z(k) = -3*k**2 - 6*k - 155. Determine f(z(i)).\nAnswer: 6*i**2 + 12*i + 304","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -115, -42, 79, 248, 465, 730, 1043?\nAnswer: 1404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8186220*x**4 + 1207106 wrt x.\nAnswer: -32744880*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 148 - 148 + 12772165*c + 5128906*c.\nAnswer: 17901071*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of w**7\/420 - 7*w**5\/120 + w**3\/6 + 4*w**2. Let i(d) be the first derivative of k(d). Find the second derivative of i(r) wrt r.\nAnswer: 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - (-16 + 16))*(5 - 0). What is the fourth biggest value in 2\/49, j, 0, 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/7*(3 - 4). Let h be (-11)\/(-14) - 8\/28. What is the closest to 2 in h, 3, b?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of -5 + (7 - 5) + 192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 3549 = 5*u, 4*u - 3607 = n - 770. What is the remainder when u is divided by 410?\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -5*a - 95, u = -3*u - 20. Let r be (2\/4)\/(a\/(-108)). Suppose 38 + 64 = r*o. Is 8 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*j + 4*j + j)*(-11*j + 3*j + 2*j) - 6*j**2 + 8*j**2 - 30*j**2 to the form f*j**2 + o + d*j and give f.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**3 - 48*c**2 - 104*c = 0 for c.\nAnswer: -2, 0, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -18*a**2 - 3*a - 15. Let q(m) = 18*m**2 + 4*m + 14. Let i(v) = 4*l(v) + 5*q(v). List the prime factors of i(-2).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5061134213 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i. Let l(x) be the third derivative of x**6\/360 + 17*x**5\/120 + x**4\/3 + 10*x**2. Let n(y) be the second derivative of l(y). Give n(g(q)).\nAnswer: -2*q + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10 - -25) + (-13)\/1. Solve -2*c + 4 = 3*d, 6*c - u*d + 24 = 2*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6515 + 6513 - 1\/(1\/8)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 + -20.5. Which is the nearest to -0.2? (a) -3 (b) -53 (c) 0.2 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.777 + 0.777. What is the third smallest value in -0.5, l, 1\/5, -19\/6, 2\/9?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + o**3 - 3*o**4 + 5*o**4 - o**4 as m + d*o**3 + y*o + s*o**4 + i*o**2 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3277*j**2*m**2*p - 2466*j**2*m*p + 2*j*m**2*p - 2*j*m**2 - 4*j*p - j - 6*m**2 + 562*p wrt j.\nAnswer: 6554*m**2*p - 4932*m*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x - 1. Let n(m) = 2*m - 2. Let u = -1 - 0. Let g be 16\/(-12)*3\/u. Suppose -2 = -2*h + g. Determine h*d(f) - n(f).\nAnswer: f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/110898 or 7.3?\nAnswer: 7.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 5*q - 434, 379*h - 426 = 378*h + 3*q. Calculate the highest common factor of 51 and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -544 - -564. Suppose 0 = 4*v - 36 - 80. Suppose -k = -m - v. List the prime factors of k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.1 - 1.9. What is the second smallest value in -0.4, f, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -348*s**2 + 305*s + 616. Determine m(-2).\nAnswer: -1386","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -4, -5, 3\/8, 0, 5\/727, 726, 1\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2424 + 1208 - 1717*r + 60386*r + 1216 + (-r + r + r)*(4 - 1 - 1) - 2 + 2 + 2*r + 0*r + 2*r - r + 2*r - 5 + 5 to the form g + x*r and give x.\nAnswer: 58676","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2596291802?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 332, 655, 978, 1301?\n\"Answer: 323*b + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -299855 and 0.5.\nAnswer: -149927.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -1161*t**2 + 6*t - 52. Let z(n) = 232*n**2 - n + 10. Calculate -4*u(b) - 21*z(b).\nAnswer: -228*b**2 - 3*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (135\/(-18))\/((-3)\/2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -8804*y + 572124. Determine t(65).\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 96313 to the power of 1\/2, to the nearest integer?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**5\/3 + 659*o**4\/9 + 27104*o**3\/9 - 340732*o**2\/3 + 3909856*o\/9 - 1190720\/9 = 0 for o.\nAnswer: -122, 1\/3, 4, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8 + (-46)\/(-3) + -6)\/(196\/6). Let q(b) be the third derivative of b**5\/60 - b**4\/8 + b**3\/6 + b**2. Let t be q(3). Is t smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-3) + (-13)\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132) - (sqrt(132) + (sqrt(132) - (sqrt(132) + 2*sqrt(132)*6) - sqrt(132))))\/sqrt(12) + -3.\nAnswer: -3 + 13*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3528 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -432*q**2 - 459*q**2 - 411*q**2 + 1736*q**2 - 429*q**2.\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -15*z**2 - 22*z + 129. Let i(d) = -17*d**2 - 26*d + 126. What is 6*i(v) - 7*t(v)?\nAnswer: 3*v**2 - 2*v - 147","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/6 (b) -3 (c) 0.015 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -132*f - 130. Is t(-47) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cn when two letters picked without replacement from caaaaacaaaaanaaaanca.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -4*u. Let s(y) = -21*y. Let t(c) = -11*f(c) + 2*s(c). Let q(o) = -4*o + 4*o - 104*o**2 + 98*o**2. Determine q(t(m)).\nAnswer: -24*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/9 + 749*(-2)\/(-63). Let u(q) = -7*q**3 - 3*q - 2. Let y be u(-1). What is the highest common factor of y and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 187 + 792. Suppose -5*s = -29 - t. Does 15 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 7 + 211 = 0. Let d = 341\/5 + j. What is the nearest to 0 in d, -3, 2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2560*u**3 - 16790*u**3 - 1870*u**3.\nAnswer: -16100*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 383*t - 4218. Let j be l(11). Sort -31, 10, j in decreasing order.\nAnswer: 10, j, -31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147721 = 3079*z - 18545 for z.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -125*d**2 - 27865*d + 2230.\nAnswer: -5*(d + 223)*(25*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 24*p + 356 = 0, 4685*p - 4682*p = 5*w + 50 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1447244 a multiple of 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18131\/6 - -3030. Find the common denominator of p and -139\/48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 904*o + 2268 = 1761*o - 938*o for o.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/7 greater than -13561\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 - 2*p - 60. Let t be b(9). Solve -3*z = -t*l + 12, -3*l + 12*z = 7*z - 22 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(228) - (sqrt(228)*2 - sqrt(228)))*6*1)\/(((sqrt(144)*1)\/sqrt(3))\/(sqrt(4)*2*-2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -17*l**2 + 8*l - 3. Let f(k) be the first derivative of 2*k**3 + k - 3\/2*k**2 - 23. Let u = -15 - -26. Give u*f(c) + 4*t(c).\nAnswer: -2*c**2 - c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -210122 + -3?\nAnswer: -210130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 859054 is divided by 146.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 119835.\nAnswer: -35950.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -193\/4 - -40. Which is greater: j or -9?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*w + 6*w + 4*w - 3*w**2 + 7759.\nAnswer: -3*w**2 + 7759","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 + 7*k**2 + 5*k - 2. Let n(m) = m - 8. Let p be n(3). Let s be u(p). Does 6 divide -3 + (-4)\/(-1) + s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 - 5161*w**2 + 5*w + 10. Let v(g) = 2586*g**2 - 2*g - 4. Give 2*s(h) + 5*v(h).\nAnswer: 2*h**3 + 2608*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -1. Let u(o) = -24*o + 6. Let s(a) = -15*m(a) + u(a). Is s(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99217 is divided by 9018?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -11*(79\/(-11) - -7). Suppose -5*r + 5*c = -55, 21 = 3*r - a*c - 12. Solve r*j + 6 = 13*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 7*o + 9. Suppose -2*p + 78 = o*h, -4*h - 71 = -2*p - p. Is 7 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 - 30*a**2 + 38*a - 58. Give g(29).\nAnswer: 203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -139\/5, 5\/4, 2?\nAnswer: -139\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 258491710.04 to the nearest one thousand.\nAnswer: 258492000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.50324346 to 3 dps.\nAnswer: 0.503","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -730 - -729.6. What is the closest to 2 in 3, -5, -4, j?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, -5, -2, 3, 5, 72 in descending order.\nAnswer: 72, 5, 3, -2, -5, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 19*g - 6. Suppose 19*j + 110 - 15 = 0. Let m be s(j). Let r = -98 - m. Solve -r = 3*p + 5*u, 2*p - 2 + 0 = -2*u for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**4 + 4*b**4 - 5*b**4)*(-1 + 4 + b - 1).\nAnswer: -3*b**5 - 6*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7007 and 2156?\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*(l\/(l*l*l*l**(-2\/7))*l)\/l*l)**47*l**(-4\/5)*l*l**(-4)\/l)**28 assuming l is positive.\nAnswer: l**(1208\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - -7.7. Suppose -4*h + 22 - 10 = 0. Suppose n = 2*k + 1, h*n + 2 - 5 = 4*k. What is the smallest value in t, 3, k?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291289.32 minutes in weeks?\nAnswer: 28.89775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(3\/7)*c*c)\/c)\/(c*c**(-2))*c\/(c\/(c\/c**(2\/5)*c))*(c\/(c**3\/c))\/c*c assuming c is positive.\nAnswer: c**(106\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2592100.\nAnswer: 2, 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 21892 to the power of 1\/2, to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/7)*i*i\/i**6)\/(i\/(i\/(i\/(i*i**(-2\/13)*i)))*i**(-2\/17)) assuming i is positive.\nAnswer: i**(-5139\/1547)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/66)\/(4\/12)*-18.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7730972ms to nanoseconds.\nAnswer: 773097.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 + 136. Suppose 38 = -2*i - 0*i - 4*m, 2*i = 4*m - 70. Let k = -13 - i. Calculate the highest common divisor of s and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 6 = 0, 56779 = 3*z + 5*u + 18463. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3683 - -370. Let m = -2035 - r. Calculate the highest common factor of m and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 725*o + 726*o + 152*o**2 - 1451*o - 154*o**2.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 - -1.6811391.\nAnswer: 1.2811391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42433709 is divided by 70?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -4*z**3 + 2*z**2 + 3*z + 2. Let y be v(-1). Suppose -3*l = -4*s + 10, 3*s + 26 = -5*l + y*s. Is -6 at least l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2639229 is divided by 879535?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -i**2 + 1 - 1 + (3*i**2 + 0*i**2 - 2*i**2)*(0 - 2 + 1) + 869*i**2 - 127 - i - 3 - 860*i**2 in the form u*i**2 + q*i + k and give u.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of i**6\/12 - 13*i**4\/24 + 8*i**2 + 3. Let u(s) be the second derivative of j(s). Find the second derivative of u(v) wrt v.\nAnswer: 60*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 PM and 12:46 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 - y + 6. Let h be l(-3). Solve 2*m - 3*v + 18 - 1 = h, 5*m - 20 = -5*v for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 45 - 42. Let u = 121 + -247\/2. Sort 0.2, v, u.\nAnswer: u, 0.2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -192*t - 455*t**2 + 186*t - 193*t**2 - 86*t**2.\nAnswer: -734*t**2 - 6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -85 or -71?\nAnswer: -71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1664 a factor of 50550656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 6)*((2 - 2 - 2)*(4*p - 5*p + 0*p) - 4 + 3*p + 4).\nAnswer: -30*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.4 + -1.6. Let d = -0.1 + -0.1. Which is the smallest value? (a) l (b) -2\/3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -49 - -38 - (2 + -14).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -109b8 (base 13) to base 2.\nAnswer: -111011000011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -6*t**3 + 27*t**2 + 26*t - 23. Let v be h(5). Solve -24*j + 80 = v for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11901 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 + 389192971804\nAnswer: 389192971803.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) 0.1 (b) -2\/11 (c) -1\/4 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-58 - -88)*5\/30. Let i(g) be the second derivative of -16*g + 0 + 4\/25*g**t + 1\/10*g**2 + 2\/15*g**4 - 7\/30*g**3. Factor i(w).\nAnswer: (w + 1)*(4*w - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -14*t + 35. Let r be g(-12). Let h = r - 141. Let u = h + -62. Solve -p - 3 - 1 = u for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 118170, 118181, 118192, 118203, 118214?\nAnswer: 118225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16.67 + -17.81. What is the nearest to -0.1 in -2, z, -0.4, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22303749 is divided by 354?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 32032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lzluzzzyell. What is prob of picking 1 z, 2 l, and 1 y?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35559, 71115, 106671, 142227?\nAnswer: 177783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1069242731?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h + 36. Let r be n(-14). Suppose -5*y + y - 738 = 5*a, -370 = 2*y + 2*a. Let j be (-2)\/r + y\/68 + 6. Is 7\/4 greater than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 - 6*u + 3. Let k be w(5). Let a(m) = m**3 + 7*m**2 - 15*m - 125. Let f be a(-5). Put k, -3, -4, f in descending order.\nAnswer: f, k, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37 + 43. Let m be 10\/((-3)\/n*2). Is 338*((-5)\/m - 0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1119977*h**3 + 2*h**2 - 25166*h - 1 wrt h?\nAnswer: -6719862","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + -14146445?\nAnswer: -14146451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that m**4 + 45608*m**3 + 136818*m**2 + 136816*m + 45605 = 0.\nAnswer: -45605, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of t**3\/12 - 121*t**2 + 58564*t + 980. Factor a(v).\nAnswer: (v - 484)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16647936 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a gram in milligrams?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64 is divided by 37?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 86 and 2122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-3926)\/351)\/(3 - 25\/3) and -63\/100?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -0.5, -3, -724, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 28\/21 + (-8)\/60*-5. Let u(l) = -80*l**2 + 244*l**2 - g - 3*l - 83*l**2 - 80*l**2. Calculate u(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -121563728 minus 57656.5?\nAnswer: -121621384.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.89471 years in millennia?\nAnswer: 0.05489471","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 734042*h - 734007*h + 1470 for h.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96897172.\nAnswer: 2, 24224293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 3*j**2 - 11*j + 6. Let u(v) = 12*v + 2*v + 50*v - 10*v - 16*v**2 - 29. Let b(f) = -11*q(f) - 2*u(f). Does 9 divide b(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -169 and 4.\nAnswer: -676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 371404, 742968, 1114532, 1486096?\nAnswer: 1857660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1962)\/36*2\/1. Let i = 15 + b. Is (-18)\/54 - i\/3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006586 rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + 1 + -2 - (-3 + -1)) + 4.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 555 divided by -1283?\nAnswer: -555\/1283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -3*x - 1. Let t be l(-2). Suppose -2 = 2*q - 8. Let f(b) = 15*b**2 + 94*b + 26. Let g be f(-6). Sort g, t, q in ascending order.\nAnswer: g, q, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2\/9, -2.9, 5, 2\/11 in increasing order.\nAnswer: -2.9, 2\/11, 2\/9, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 955733*m - 134946 = 957110*m for m.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -199.987 + 200.987. Let o = 0.9 + -1. Which is the nearest to o? (a) h (b) 5 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.0375, -0.4, 11\/3, 2\/5, -39?\nAnswer: 0.0375","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 279 at least as big as 98?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 2)\/((-456)\/(-4864)).\nAnswer: -32\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7435033.\nAnswer: 7435033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 5 = -2*c + 5, -4*c + 2*q + 8 = 0. Let i(n) = -3*n - 4. Let v be i(0). Put c, -2, v in ascending order.\nAnswer: v, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 2*q - 4, -3*z + 6*q - 3*q = -3. Let u be 1\/(z - (-20)\/8). Differentiate u*m**4 + 3*m**4 + 6 - 2*m**4 wrt m.\nAnswer: 12*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5\/2, 2, -2, 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 - 9*t**2 - 115*t + 30. Determine d(18).\nAnswer: 876","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*r - 38*r - 1628 = 0. Let f = -159 - r. Sort 5, -1, f, 0 in ascending order.\nAnswer: f, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a + 3*a**3 - 3*a + 4*a + 2*a.\nAnswer: 3*a**3 - 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1527695445?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 3*i + 1 = 3*w, 2*w - i - 21 = 0. Let o = w + 10. What is the highest common divisor of 45 and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 65445231?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of -g**5\/20 + 5*g**4\/6 - g**3\/6 - g**2\/2 + 2*g. Is q(8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7031355 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 12 = 3*m, -2*m = 4*c - 10. Suppose -c*k - 18 = r, 0 = 3*k + 3*r + 28 - 10. Let x = k + 4. Are x and -0.3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*s - 18*s + 2*s**3 + 9*s - 6*s**3.\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -17*m**2. Let w(l) be the first derivative of -l**5\/30 + l**2\/2 + 2. Let a(r) be the second derivative of w(r). What is a(x(z))?\nAnswer: -578*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6497243 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = 4*t - 0*t. Suppose -4*j = -16, 5*j - t = -y + j. Let z = -35 - -49. Solve -5*l - z = -4*m - 3*l, -y*m = -l - 19 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166.2358 micrometers in centimeters?\nAnswer: 0.01662358","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a**5\/5 + 53817*a**4\/5 - 241436496*a**3\/5 + 723825204*a**2\/5 + 215232*a\/5 - 965100288\/5 = 0.\nAnswer: -1, 2, 8968","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14145474?\nAnswer: 2, 3, 7, 139, 2423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 - -20. Suppose -3*y + 6 = 0, -4*d + d + j*y = 0. Suppose 5*g + d = 5*b - 18, 3*g = -4*b - 12. Solve 4*v + 6 = -2*x, b = -3*x - 3*v - 1 - 5 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15041 - -1354. Let t = c - -13687.005761. What is t rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/2 (b) -286 (c) -36 (d) -1 (e) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 2.2. Let k = 284 - 284. Which is the closest to k? (a) -2 (b) p (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*y + 1464 - 373 - 1091.\nAnswer: -45*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r**2 - 2151*r - 35700 = 0. What is r?\nAnswer: -700, -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9 - 0.281.\nAnswer: 8.719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 715447.82 rounded to the nearest 10000?\nAnswer: 720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 + (-9)\/(-6) - 27\/(-6). Suppose -3*f + 45 = d, -r*d + 15 = f - 0*d. Solve -5*w + 10 - f = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of -3*c**6\/40 - 19*c**5\/30 - 11*c**4\/6 - 4*c**3\/3 - 4*c**2. Find t such that s(t) = 0.\nAnswer: -2, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37\/(22607\/94) + 70*(-15)\/234.\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100110111001 + -10111?\nAnswer: -100111010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(252) + 2 + -1 - (sqrt(252) + 1 + -1 + sqrt(252) + -1 + -3))*3)**2.\nAnswer: -648*sqrt(7) + 2592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + q = 19, -4*x + 4*q + 30 = 10. Solve -4*k + 3*k = a + 2, -x*k - 6 = 3*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1201 rounded to two decimal places?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of -t**3\/3 - 11*t**2\/2 + 15*t + 8. Let g be n(-11). Solve 24 = 4*a + 4*j, -2*a - 7*j + g = -2*j for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-52)\/39)\/((-1)\/513) + 0 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3105998 - -63.80048.\nAnswer: 3106061.80048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 5566?\nAnswer: 5566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 7, v: 3, t: 7, u: 3}. Give prob of picking 3 u and 1 t.\nAnswer: 7\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -8*v**2 - 24*v + 189. Let g be b(9). Is -674 at least as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 + 7*u - 4. Let v be a(6). What is the second derivative of 0*r + r + 2*r - v*r**3 wrt r?\nAnswer: -12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of -t**6\/60 - t**5\/12 - t**4\/4 - 2*t**2 - 1498. Calculate g(-3).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 9 = z. Let w be 2\/(-23)*6\/z. Put w, 1\/3, -0.3 in decreasing order.\nAnswer: 1\/3, w, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.09 + -1.01. Let j = -25662 + 25662.1. What is the nearest to j in -4, 0.4, y?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.069141 plus 885173?\nAnswer: 885172.930859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, 19, 2, 5 in descending order.\nAnswer: 19, 5, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h**2 + 3*h. Let g be r(-2). Find the second derivative of -2*m + m + g*m**2 - 8*m**2 - 2*m wrt m.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -586087*t**4*z + 4*t**3*z - 8*t**3 - 14583*t**2*z + 3160*t**2 - 2*t*z - 2*t wrt t?\nAnswer: -14066088*t*z + 24*z - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that q**4\/2 - 75275*q**3\/2 + 112909*q**2 - 75272*q = 0.\nAnswer: 0, 1, 2, 75272","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**3\/f)\/((f**(-18)\/f*f)\/f*f*f)*(f\/(f**(-13)\/f))\/(f\/(f*f**(6\/7))) assuming f is positive.\nAnswer: f**(244\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3125 times 1454?\nAnswer: -4543750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 87061?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + f + 16508 = -2*o, -3*f - o = -49580. Is 108 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - i - 3)*(-1 + 5 - 3)*(3 + 6 - 2).\nAnswer: -7*i - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2742520 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 PM and 1:05 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -64 + 75 + (0 - (8 + -9)) + 0 + -17?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6 or -1\/55?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -3*t**3 + 3*t**2 + 4*t. Determine x(-4).\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + j)*(-53 - 6 - 59 + 32).\nAnswer: -86*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -2. Let u = 26.3 + 23.7. Let b = -50.08 + u. Are b and g non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3*1 + (-20)\/7. Which is the closest to -2\/5? (a) w (b) 3\/5 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-14) + 10\/35. Suppose 72 - 18 = 27*p. Suppose -p*j - 9*n + 21 = -14*n, 23 = j - 5*n. Sort -5, j, t, 1 in increasing order.\nAnswer: -5, j, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.1, -2, 5, -0.3, -6\/83.\nAnswer: -2, -1.1, -0.3, -6\/83, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 + 5*w**2 + 7*w + 8. Let f = -174 - -332. Suppose 3*o = 5*c + f - 2, -2*o + 104 = 4*c. Let t be (4 + o\/(-12))\/((-2)\/36). Give p(t).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 93 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3018 divided by 2584?\nAnswer: 1509\/1292","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -9. Let t be (-19)\/(-4) + (-24)\/32. Suppose z + 12 = t*z. Solve -p*y + z*y - 2 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4342, -1, -3.\nAnswer: -4342, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 146567819 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-17 - 0) + 118 + -119 + 11\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 - 10*i**2 + 13*i - 2. Suppose 5*l = -0 + 5, -5*s - 2*l = 53. Let d be c(s). What is the remainder when (-50)\/(-14) - d\/(-42) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -16329, 1, 0.2, 2, -2\/13 in descending order.\nAnswer: 2, 1, 0.2, -2\/13, -16329","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, -1, 84, -31.\nAnswer: -31, -4, -1, 3, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 0 - 2*v**2 + 6*v**2 + v - 2 + 0*v**2 + v**3. Let y be m(-2). Which is the nearest to 0.1? (a) 1\/2 (b) -0.5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (11\/(-2)*2)\/(-1). Let l = 26 - 13. Let d = l + -8. Solve -d*x - 5*t - 10 = 0, -8*x - 5*t - w = -4*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 89153 or 89217?\nAnswer: 89217","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1964237 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wyhhdddldlwwdhdhw. Give prob of picking 1 w and 1 h.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.22523*0.6\nAnswer: 0.135138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = 4*r, 29 = -5*k - 3*r - 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1765733 - 4?\nAnswer: 176572a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34808 - 33888 = 46*d for d.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7818*f**2 - 1016336*f - 520.\nAnswer: 2*(f - 130)*(3909*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 140122752 a multiple of 352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 536 - 38 = -2*b, b + 2*q - 271 = 0. What are the prime factors of b?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (280\/(-12))\/((-18)\/(-135))*-37. Solve 7*v = -b + 6510 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1804 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5129302 take away -0.02?\nAnswer: 5129302.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -5*r - 14. Let p be 22\/(-4) + 2\/r. Let j = 13 - 11. Sort j, 4, p in decreasing order.\nAnswer: 4, j, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -5*j, 2*l + 12*j = 16*j + 6 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 5*y = 31, 4*i - 3*i - 5*y = -23. Suppose -2*s = i*s - 4. Is 4 > s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 47127677 = -32*x. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1*(178245\/(-35) + (-16)\/56).\nAnswer: 11, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.9, -5, 2\/9, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of l**3\/3 + 3*l**2 - 2*l - 7. Let d = -2 - 6. Let a = d + 3. Calculate p(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2969617 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**5 + 6*i**4 - 3*i**3.\nAnswer: -3*i**3*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = q + 3*f + 21, 3*q = 3*f + 9 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 - -25. Suppose -5*x + 4*f + 556 = 0, x = 5*f + 113 + 15. What is the highest common factor of p and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w - 2. Let b be v(-4). Let r = -0.11 + -0.09. What is the closest to -0.1 in r, b, 4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -1 + 5 + -1 - 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5332790?\nAnswer: 2, 5, 197, 2707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 1286 = 41*w + 311 for w.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03704 + -0.019.\nAnswer: 0.01804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 887 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, 6416, -18, -2, 5.\nAnswer: -18, -3, -2, 4, 5, 6416","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**4\/5 + 35586*x**3\/5 - 320436*x**2\/5 + 192294*x - 961551\/5.\nAnswer: 3*(x - 3)**3*(x + 11871)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1904\/714*((-3906)\/(-48))\/7.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -524, -1, -5.\nAnswer: -524, -5, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {t: 5, y: 1, l: 11}?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -310 by -31.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4333282?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -4406*v - 229121. What is i(-52)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*y + 3*v, 2*y - 8 = v + v. Let x = y - 0. List the prime factors of 1\/((-3)\/(-18) - x).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 81\/712 + 1\/89. Let w = -1 + 5. Which is the third smallest value? (a) w (b) -1 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2584, -5192, -7810, -10438, -13076, -15724?\nAnswer: -18382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/4)\/(2\/2*60\/(-300)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15 in -4\/23, -1\/5, 0.1, -0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 10796 = -4*v, 3*o + 0*o + v - 8099 = 0. Suppose -13*z = -z - o. What are the prime factors of z?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1535*w + 21686 + 61654 = -2632*w for w.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 divided by 84?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-2*((sqrt(78) + sqrt(78) + sqrt(78)*2)*-5 + -6*sqrt(78)*1))\/(-1*sqrt(864) - sqrt(1296)\/sqrt(6)).\nAnswer: -26*sqrt(13)\/9 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 3*v + 37. Let y(f) = 3*f + 37. Determine -6*b(z) + 5*y(z).\nAnswer: -3*z - 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -140*n. Let p be (8\/(-6))\/((-10)\/15). Let b(c) = -198*c**2 - 194*c**2 + 390*c**p. Give b(w(l)).\nAnswer: -39200*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*t + 241959 + 322424 = 0. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3265197\/323 - 10109. Let d = -44191\/1938 + x. What is the common denominator of d and (0 + -2)\/((-10)\/44)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -3*y - 1. Let f be m(1). Let o(h) = 30*h**3 - 9*h**3 + 3*h - 6*h**3 - 9*h**3 - 5*h**2. Let b(j) = 5*j**3 - 4*j**2 + 2*j. Give f*o(c) + 5*b(c).\nAnswer: c**3 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 20?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b**2 + 5*b - 2. Suppose -5*g + 3*t = -26, -5*t + 10 = 7*g - 2*g. Is r(g) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/(-5))\/(1\/10). Let o(j) be the third derivative of 0*j + 0*j**3 + 0 - 1\/30*j**5 - 1\/6*j**4 - 4*j**m. Find the second derivative of o(g) wrt g.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 37*h - 3. Let v(n) = 14*n - 1. Let c(q) = r(q) - 3*v(q). Let m(w) be the second derivative of 7*w**4\/12 + 3*w. What is c(m(l))?\nAnswer: -35*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*g**3 + 5*g - 10*g**3 - 5*g.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-1)\/(-10))\/(-1 + (-2708)\/(-2660)) and -83\/18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -354246*f**5 - 16*f**4 - 1689673*f**2 - 2*f + 1?\nAnswer: -21254760*f**2 - 384*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1\/8, -52 in increasing order.\nAnswer: -52, -4, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 14*z + 14. Let w(f) = f**2 + 3*f - 3. Let s be w(2). Let b be v(s). Let l = b + -42. List the prime factors of l.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h. Let u(q) = -5*q**2 + 12*q. Let d(c) = 6*c**2 - 13*c. Let t = 146 - 150. Let k(f) = t*d(f) - 5*u(f). Calculate j(k(a)).\nAnswer: 2*a**2 - 16*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 122 - 1201?\nAnswer: -1013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1743\/1544 - -3\/772. Let w = -26701\/40 - -667. Let j = l - w. Which is the second smallest value? (a) -5 (b) j (c) 2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3492 + -1988. Suppose 4*v - m = -5*s + 2*s, -v + 2*s = -387. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-21)\/6 - -4 - 26\/4. Let v(q) = 0*q - q**2 + 5 + 6*q + 2*q**2. Let g be v(y). Solve 2*m = g*m - 12 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6\/(-4)*(230\/(-6) - 1) is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 230 divided by 76995?\nAnswer: 46\/15399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 928 - 928 + 3*o. Let x(h) = 5*h. Determine r(x(w)).\nAnswer: 15*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, y: 1, s: 2, c: 6, d: 8, n: 1}. Give prob of picking 1 d and 1 y.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 + 1 - 5 - 1223*q + 14 in the form n + j*q and give j.\nAnswer: -1223","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -57876067*w**4 + 11975073*w**2 - w.\nAnswer: -1389025608*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6, 2\/33, 12\/5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*x**3 + 0*x**3 + 4*x**3 - x**3 + 3*x**3 + 0*x**3 + x**3 - x**3 + x**3 + (-2*x**3 - 3*x**3 + 3*x**3)*(3 - 4 - 1) + 2*x**3 - 2*x**3 - x**3.\nAnswer: 5*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s**2 + 11*s - 10. Give k(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 6 = -h, 2*s - 36 = -2*h - 32. Are h and 1\/138 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -55, -172, -367, -640, -991, -1420?\n\"Answer: -39*n**2 - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*a**3 + 6 - 2 + 2*a**3 + 51*a**2 - 52*a**2 + 6*a**4 to the form b + x*a**2 + m*a**4 + v*a**3 + i*a and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 19984657*u. Let s(z) = 2*z**2. What is l(s(n))?\nAnswer: 39969314*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 1. Suppose -2*r - 3*r + 70 = j. Suppose 3*w = 244 + 134. What is the highest common factor of w and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*c - 34019 + 34019.\nAnswer: -10*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y\/(y**12\/y*y)*y*y**3*y*(y*y**(-4\/7))\/y*y\/y**(-2\/23) assuming y is positive.\nAnswer: y**(-722\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 10 = 0, 0*h + 5*m = -3*h + 25. Let 3*l**2 + 3*l - 5 + h*l**3 + 6 - 4*l**3 = 0. Calculate l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*i = 91 + 44. Let g(l) = -l**2 - 8*l - 2. Let s be g(-7). Let y be (-1 + 9\/s)*5. Solve y = i*f - 8 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.41356 - -0.163. Let g = 0.57 - r. Round g to 3 dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -54 - 101c217?\nAnswer: -101c26b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2 - 432027*h + 864058.\nAnswer: -(h - 2)*(h + 432029)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*((y\/y**1)\/y)\/y)\/y)**(-14)\/(y**(2\/21)*y*(y**(-4\/3)\/y)\/y)*(y**(-2\/3))**(1\/28)\/((y\/y**(-7))\/(y*y**(-1\/6)\/y)) assuming y is positive.\nAnswer: y**(463\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*g - 40 = -97. Solve 16 = 4*o, 0 = -p - 4*p + g*o + 8 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*b*q**3*r + 3*b*q**3 + 2*b*q - 32*q**4*r + q**2 + 2*q*r + 26*r wrt q.\nAnswer: 12*b*r + 18*b - 768*q*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r + 13. Let w be l(13). Suppose -f - 48 = -2*f - 5*i, w = -f + 2*i + 48. What is the derivative of -f*y**4 + 27 - 10 + 68*y**4 + 12 wrt y?\nAnswer: 80*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5 - 1)*(-6)\/9. Suppose -g + 96 = s*g + 2*z, z + 2 = 0. Calculate the remainder when g - -3 - 0 - 2 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 42 - 21. What is the second biggest value in -2\/7, t, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 15*j + 60 = 0. Suppose 5*y - 2*y = 45. Solve 3*g - w - y = -5*w, -4*w - 20 = -j*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 60017?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 + 6*y. Let x be n(5). Suppose -6*g = -2*g, 315 = x*s + 5*g. Does 21 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = 3*m + 14, -764*m - 19 = u - 759*m for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-5987.\nAnswer: -5987","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -290 divided by 2\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.01 + 0.01. Let z = 0 - y. Let i be (-8)\/(-42)*(-105)\/(-90). Which is the closest to 2\/5? (a) 5 (b) i (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 13 + 9 + -10 + 47.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - l - 6480, -2160 = -4*c + 3*c - 5*l. Suppose -o = -i - c, -o + 2161 = i - 3*i. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 395 - 394. Let w be x*(-4)\/(8 - 4)*3. Let l(i) = i**2 + 3*i. Let h(z) = -z**2 - 3*z + 1. Let v(j) = -3*h(j) - 2*l(j). Calculate v(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81 - 4*a - 18 - 1.\nAnswer: -4*a + 62","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 + 89*x + 873. Calculate b(-9).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -464, -949, -1434, -1919, -2404, -2889?\nAnswer: -3374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 2*u**4 - 10*u**3 - 14*u**2 + 82*u - 60 = 0.\nAnswer: -3, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 0.4, 3, -5, -1\/4, -10, 42.\nAnswer: -10, -9, -5, -1\/4, 0.4, 3, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 - 58. Let n = g + 32. Let a = -15 - n. Solve -c + a - 2 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + 153111?\nAnswer: 153104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 88.73 + -1.73. Let w = -87.1 + o. Let v(d) = d**3 - 7*d**2 + 5*d + 4. Let h be v(6). Which is the nearest to -2? (a) 0 (b) h (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nyyytyytdoydd. What is prob of sequence od?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of 24282.16352 and 5.145.\nAnswer: 24287.30852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*y**5 - 4*y**5 + 4*y**5 + (2*y**4 + 0*y**4 + y**4)*(1 - 8 + 12*y + 6).\nAnswer: 50*y**5 - 3*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 30*b**2 + 17*b + 117. List the prime factors of w(-17).\nAnswer: 2, 7, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -241864\/957 or -253?\nAnswer: -241864\/957","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 + 16.3. What is the nearest to 1\/2 in -3, q, 1\/6?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13.2804 - -0.2096. Let y = f + -14. Round y to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -571*p**3 - 813*p**3 + 1733*p**3.\nAnswer: 349*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*u - 203 - 5 = 0. Suppose -4 = 2*z - 2. Put u, -3, z, -4 in descending order.\nAnswer: z, -3, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108577 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*z - 24*z - 66. Suppose -5*d + 42 = 3*m, m + 2*m + d - 42 = 0. Let p(x) = x - 7 + 0*x + m. Determine p(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -8*r**2 - 5*r. Let a be (4\/(-8))\/((-3)\/(-36)). Let h(j) = -7*j**2 + 182*j - 405*j + 219*j. Give a*z(f) + 7*h(f).\nAnswer: -f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -6, 13, -1\/4.\nAnswer: -6, -1\/4, 2\/5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*c**2 + 3 + 16*c**2 + 7 - 10*c**2 wrt c?\nAnswer: 20*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 - 11*x**2 + 8*x - 46. Suppose -2*p - p = 4*a + 57, 4*p + 36 = -2*a. Let t be s(a). Solve -7 = t*l - 1 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.08 (b) -3 (c) -2.6 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6180713915?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -590, -634, -678, -722, -766, -810?\nAnswer: -854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27)\/135)\/(1\/(-5)) - -6.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 163 - 147. Suppose -x*g + 2016 = -2*g. Calculate the highest common factor of g and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, d: 1, a: 1, q: 1, e: 2, i: 1}. Give prob of picking 1 d, 1 i, and 1 g.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 14417*p. Let n(y) = -425*y**2 + 4. Give n(m(x)).\nAnswer: -88336202825*x**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*g - 5009 - 4959 - 5231 + 15202.\nAnswer: -6*g + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 159527\/15750 + -1152\/125. What is the common denominator of m and -82\/45?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 3 - 33. Let k be 40\/18 + 4 + s. Is 0 >= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (425 - 693 - 115 - 709)*(v + v + 0*v) as f*v + w and give f.\nAnswer: -2184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h + 15. Let a be u(13). What is the greatest common factor of a and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/244729?\nAnswer: 2\/244729","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*q)*(-2*q - q**2 + 2*q) - 2726*q**3 - 1188*q**3 + 2239*q**3 - 2*q**3 + 2*q**3 - 3*q**3.\nAnswer: -1676*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 543 - 360. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-33)\/9 + 3)\/(4\/(-6)). Suppose -13 + q = -4*x. Solve 3*v - 2*v = x*b + 7, 4*v - 4*b = 20 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20335?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -4*y**2 - 4*y - 2. Let g be v(-3). Let t = -17 - g. Let o = 13 - t. Does 4 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from raa. What is prob of sequence ra?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -57, -39, -9, 33, 87, 153, 231?\nAnswer: 321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 - 4*j + 18. Give y(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 77 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -492, 42, -16, 11, 5, 1 in descending order.\nAnswer: 42, 11, 5, 1, -16, -492","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 469887 smaller than 469892?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/976, -14, 2036.\nAnswer: -14, 1\/976, 2036","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -126748, -126758, -126792, -126862, -126980, -127158, -127408, -127742?\nAnswer: -128172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 7:39 PM?\nAnswer: 11:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*k - 61*k - 16712 = 3*g, 4*k + 5*g = 16680. Calculate the remainder when k is divided by 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2 - 88\/27)\/(8\/(-12)) and 2\/(-7) + (-87)\/21.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 3 - (2 + -4 - -19 - 5).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*o - 8*o + 8*o**2 + (-3*o - 3*o + o)*(-3*o + o + 4*o) + o - 3*o + 3*o**2 - 5*o**2 as y*o**2 + j*o + g and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-432)\/66*((-301840)\/294)\/140.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 72187 + -1156?\nAnswer: 71031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3522?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s - 3*s + 2*s)*(-11*s**2 - 6 + 6)*(14*s - 3*s**2 - 14*s).\nAnswer: 66*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/29666719 or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 5*q**2 - 98*q + 80. Let m be w(19). Calculate the greatest common factor of 1679 and m.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 5 + ((1 + sqrt(162) - sqrt(162)) + sqrt(162) + sqrt(162))*2*2*2)**2.\nAnswer: 5184*sqrt(2) + 41796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -z**2\/8 + 263*z\/8 - 8645\/4 = 0.\nAnswer: 130, 133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000804499 to the power of 1\/3, to the nearest integer?\nAnswer: 1000","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 times 0.02817103?\nAnswer: -0.19719721","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -281 = -4*a + 3*v, 5*v + 207 - 10 = 3*a. Let z = a - 59. What is the remainder when 44 is divided by z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 7 + w**2 + 11 - 9*w**3 - 22 - 3*w. What are the prime factors of c(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 83114398 and 83114401 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*v + 67*v + 66*v - 193*v - 35*v**3.\nAnswer: -35*v**3 - v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*w + 2366*w**2 - 15*w - 74 - 2367*w**2.\nAnswer: -w**2 - 7*w - 74","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13779 and 7446784.\nAnswer: 1531","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -4 (b) -1\/27 (c) -5 (d) 0.5 (e) 0 (f) -1622\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/(-7))\/((-1)\/(-7)). Suppose -l + 5 = 0, -4*u + k*l + 122 = -219. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34 - 42. Let t(c) = -6*c + 43. Let g be t(z). What is the highest common factor of 13 and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -160 + 245. Suppose 5*m - y = -k + 5, -3*k + 350 = -m. Suppose 15*u - k = 10*u. List the prime factors of u.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r**2 - 1925 - 12*r**2 + 11*r**2 - r**2 + 4*r**2.\nAnswer: 2*r**2 - 1925","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-24)*((-695)\/(-105) - 6\/18)?\nAnswer: -22\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7632 divided by -6.\nAnswer: -1272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g\/(g**(-1\/3)\/g))\/(g\/(g*g**3*g)*g))**45)**(-2) assuming g is positive.\nAnswer: g**(-570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f - 2. Let d(n) = 504*n - 504. Determine d(b) - 252*x(b).\nAnswer: 252*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -7388, -7386, -7384, -7382, -7380?\n\"Answer: 2*y - 7390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, -8, 1 in increasing order.\nAnswer: -8, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -30.56 + -7.74. Round v to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r**2 - 59*r - 34. Is 70 a factor of n(-25)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 2442 = -5*r, -4*r - 592 = 2*m + 642. Let g = 616 + m. Solve 2*c - g*l + 6*l = 14, 2*l = 4 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13291521*t**4 - 30562*t - 153?\nAnswer: 159498252*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -112 + 112.3. Let w = -0.445 + 0.045. Let p(k) = k**3 - 6*k**2 + 6*k. Let q be p(5). Put c, w, q in ascending order.\nAnswer: w, c, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 298561921 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 10222 (base 3) in base 8?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9\/27 - 5\/(-3). Let t(n) = -21*n + 23. Let z be t(f). Is z > -73\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 2*z = x + 29, 30 = -3*z + 2*x. Let g(n) = -6*n**2 - 2*n - 17. Let w(d) = -4*d**2 - d - 11. What is z*w(y) + 5*g(y)?\nAnswer: 2*y**2 - 2*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a factor of 8662?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -46*354\/1357 - ((-106)\/8 - -1). Factor -l*q**3 - 13718 - 1083*q - 57\/2*q**2.\nAnswer: -(q + 38)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + -15. Let u = j + 7. Let l = u + -1.4. Put 2\/5, l, -5 in ascending order.\nAnswer: -5, l, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 2*z = -396 - 624, -4*v - z = 1008. Let o = 269 + v. Solve 5*q = q + o for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.066 + -0.266. Which is the nearest to t? (a) 1\/8 (b) -2 (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -10 + 10 + 2*j + 7*j. Let z(o) = -o. Calculate 4*p(g) + 44*z(g).\nAnswer: -8*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -27 - -29. Calculate the highest common divisor of 38 and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - (-4)\/(-16)) + (-196)\/(-16). Let l(b) = b - b + b - 1 + y. What is l(0)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 12 = v. Suppose -3*i - 2*s = -241, -4*i - v*s - 175 = -491. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 307 times 6104.5?\nAnswer: 1874081.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9534237, -9534238, -9534239, -9534240?\nAnswer: -9534241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 3*p = -2*a - 14, 114*a - 106*a + 5*p = -23 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-43 - -3)\/2)\/(-4 - -3). Suppose -g - 4 = -2*y. Calculate the remainder when 21 is divided by y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 - f - 35. Let h = -11 - -7. Let j = 4 + h. What is the common denominator of -13\/2 and l(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33.5 - 33.4787. Round m to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35.564*-5.\nAnswer: -177.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 26473 divided by -6\nAnswer: -26473\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7763156 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26 - -28. Suppose 0 = -g - n*x - 1, -x - 12 = -3*g + 6. Let q be (3\/5)\/(g\/25). Solve -q*c - 2 = -c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 34\/7 + -32\/7. What is the closest to f in 0.2, -0.04, 3\/8?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)*-1)\/sqrt(2) + 4 + (sqrt(45))**2.\nAnswer: -sqrt(5) + 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6*-1*(-4)\/8. Suppose 0 = -t - 3*t. Put 1, t, u in ascending order.\nAnswer: t, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b - 15. Let o be v(12). What is the units digit of (-1610)\/(-3) - (-2)\/o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1915669 is divided by 237?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of -4*i**4\/3 - 32*i**3\/9 + i**2\/6 + 2*i\/3 - 189. Factor a(d).\nAnswer: -(d + 2)*(4*d - 1)*(4*d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*l - 5264 = -3059. Let a(i) = 10*i**2 - i + 2. Let p be a(-2). Is p >= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 107769*r**3*w**3 - r**3*w*y + r**2*w**2*y**3 - 16634*r**2*w*y**3 - r*w**3*y**3 + r*w**2*y**2 wrt w?\nAnswer: 646614*r**3 - 6*r*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 12*a - 10*a - a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -4*p**2 - 4*p - 4. Let o be q(-2). What is the hundreds digit of 287 - o\/(-9 + 6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 144 by -3873.\nAnswer: -48\/1291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 s when two letters picked without replacement from shhss?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*p + 4*y = -28*p - 16, 2*y = -2*p - 14 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 224506*d**2 + 12846*d?\nAnswer: 449012","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a - 7. Give m(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 3*b**2. Let f(z) = -3*z**2 - 225*z + 4 - 8 - 8 + 237*z. Let g(y) = -y**2 - y + 1. Let j(u) = f(u) + 12*g(u). Determine n(j(s)).\nAnswer: 675*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-2)\/(-15))\/((-48)\/(-780)) and -8\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 - 6*a**2 - 5*a - 6. Let d be (-32)\/24*(-18)\/4. Suppose 0 = d*v - 3*v + 15. Calculate h(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/(-12) + 2)*1. Is g < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27812043 a multiple of 192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, 59277, 1 in descending order.\nAnswer: 59277, 5, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h**2 + 184432 - 184432.\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 24 + 8. Let j(h) = h**2 - 18*h + 8. Let b be j(17). Let w = 0 - b. What is the lowest common multiple of w and p?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-153))\/(1 - 2)?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -64 - -35. Let i = -812 - j. Let m = i + 1336. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0025 + 0.0376. Let w = 0.4649 + f. Which is the biggest value? (a) -1\/9 (b) w (c) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of -p**6\/90 + p**5\/15 + p**4\/9 - 8*p**3\/9 - 86*p - 46. Let z(m) be the first derivative of i(m). Factor z(a).\nAnswer: -a*(a - 4)*(a - 2)*(a + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d**2 - 33*d - 13. Let m be l(17). Solve 16 = 3*k + m for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 237 divided by -131\nAnswer: -237\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 13 + x**2 + 5*x - 26 + 19 = 0.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/5 - -2 - (-14833)\/(-27195). Let o = 5\/111 - d. Which is smaller: 0 or o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*w + 22*w - 145. Which is the third biggest value? (a) 5\/3 (b) 1\/4 (c) -1\/17 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*f**2 + 6*f**2 - 18*f**2 + 2*f**2 - 16*f + 2*f**3 + 24.\nAnswer: 2*(f - 6)*(f - 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -35*c + 3*c + 55*c - 23 + 64*c as j*c + l and give j.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-14 - -1) + -197 + 179.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*(0 - (-9)\/(-6)). Let h be 4 + 0*g\/6. Suppose x = 5*i - 19, -3*i + h*x + 28 = 3. Is i greater than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 13) to base 5.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 37934.02ug in tonnes?\nAnswer: 0.00000003793402","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-1 + 4 + 2 + -8).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10231 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.084*-0.25.\nAnswer: -0.021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7438 by -5.\nAnswer: 7438\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 16467382739 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 3731763?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*u - 9 = 8*u for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 204*z**2 - 10*z + 18*z - 8*z.\nAnswer: 204*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 - 8 = 3*k. Suppose b - 5 = -2. Solve -6 = -b*v + k for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 44*k**2 + 19. Let b(h) = -h**2. Let r(g) = 6*b(g) + l(g). What is the derivative of r(p) wrt p?\nAnswer: 76*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21363 is divided by 21349?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(1\/17))\/((-6)\/3)*-2?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -47 - -12. Let c = -15 - f. Is c a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -3, -20, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + -5. Solve c = 2*t + 9 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 6*m**2 - m - 4. Let k(c) = 38*c**2 - 5102*c + 3246128. Let s(x) = -k(x) + 6*p(x). Solve s(d) = 0.\nAnswer: 1274","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2, -3\/8, 2\/17, -12?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 14057, 15832, 20643, 30008, 45445, 68472, 100607, 143368?\n\"Answer: 253*v**3 + 4*v + 13800","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9925 and 13498?\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 28 - 13 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1810368 and 21681312?\nAnswer: 910615104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - 5) + 234\/9. Suppose -p*c = -17*c. Solve 3*q - z + 14 = c, -2*z - 12 = -5*q + 7*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(5\/(-15))\/((-14)\/(-6))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 27089670?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 - 9*i**2 + 36*i - 103. What is x(7)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -16 times -2224\nAnswer: 35584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 + (-7)\/(210\/13900))\/(3\/(-54)) a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i - 1. Suppose 2*c + 225 = 49. Let k be (c\/(-8))\/(2 - 1). Let d(s) = -3*s + 2. Let q(y) = k*u(y) + 4*d(y). Determine q(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + -11 - -2) + -3?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -13, 201, 5303?\nAnswer: 201","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*s - 171 - 10 = 44 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2953 = -3*z + 2126. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 times 0.3?\nAnswer: 73.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 36020292 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -44085198\/11 at most -4007744?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w + 0 + 0 + (8 + 4*w - 8)*(1 - 3 + 1) - 4 + 4 - 4*w + 3*w - 2*w + 0*w.\nAnswer: -8*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2419, -11768, -37147, -86572, -168059, -289624?\nAnswer: -459283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2468 divided by 1234.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -210102012 - 12?\nAnswer: -210102101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4122, 8245, 12368?\n\"Answer: 4123*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r and 1 l when four letters picked without replacement from {l: 1, r: 5}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/9? (a) 1 (b) 0.3 (c) 2\/9 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of d**6\/120 + d**5\/60 - d**3\/6 - 5342*d**2. Let r(x) = -4*x**3 - 6*x**2 + 9*x + 5. Give r(a) + 6*z(a).\nAnswer: 2*a**3 + 9*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -295307676 by -4.\nAnswer: 73826919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -800, 90, -45 in ascending order.\nAnswer: -800, -45, -3, 90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of w**6\/360 + w**3\/3 - w. Let k(r) be the second derivative of n(r). Let z(p) = 0*p**2 - 5*p**2 + 3*p**2. What is z(k(v))?\nAnswer: -2*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1954 + -2023. Suppose -5*g = -2*i + 342, 3*g - 4*i - 64 = 4*g. Which is smaller: d or g?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 o when two letters picked without replacement from yzfzzfozzayy.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 92 + 36 = 0. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x - 22. Let v = -1840 - -1842. Let a(r) = -r + 23. What is v*i(y) + 3*a(y)?\nAnswer: y + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a5 + 14692?\nAnswer: 14737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhmmhmhmmhmmhhmhmh. What is prob of sequence hhmm?\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19 - -27. Let b = -7.9999993 + o. Round b to 7 decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 87 = 5*x, 1574*x = 1569*x + 5*y - 105 for x.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 11) to base 8\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 AM and 1:50 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 3656.99?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (45\/(-10))\/((-663)\/34)?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 1346 = -2574. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 1178412*j + 12962556. Determine m(-11).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 34, 5, -2, -1, 75 in ascending order.\nAnswer: -2, -1, 5, 34, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -31951 (base 14) in base 8?\nAnswer: -352023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/((k\/(k\/(k**(-4\/9)\/k)))\/k)))\/k**(-2\/7))\/(k**0)**(-9\/4) assuming k is positive.\nAnswer: k**(-136\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 11:34 AM?\nAnswer: 1:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 343369?\nAnswer: -1\/343369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -5*j**3 - 22*j**2 - 3*j + 24. Let a be s(-5). What is the greatest common factor of 24 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 348, 385, 428, 477, 532?\nAnswer: 593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c**3 - 94*c**2 + 160*c + 127. List the prime factors of q(-49).\nAnswer: 31, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39\/15*(-5920)\/5328.\nAnswer: -26\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1723.714 and -0.3?\nAnswer: 1724.014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 1882 divide 922528057?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2953*o - 59. Let q(t) = -5168*t + 104. Give 16*f(n) + 9*q(n).\nAnswer: 736*n - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zab when three letters picked without replacement from {b: 2, a: 1, q: 3, z: 1, f: 2, x: 3}.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (24\/(-7))\/(7\/(-392)). Suppose -3*p + 2*v + 448 = 0, -2*p + l = -2*v - 104. List the prime factors of p.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 - 4*h**2 - h + 4. Calculate g(5).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 + 259*w**2 + 3897*w + 2170. Give h(-243).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 5, 56.8, 128?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 23 - 13 = j, 2*k = 3*j + 10. Which is bigger: -1\/230 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of g**3\/3 + 3*g**2\/2 - g - 1. Let y be r(-4). Solve 0 = y*n + 6 + 3 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -0.033, 7, 3.\nAnswer: -8, -0.033, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 35*b. Let x(g) = -16*g - 48*g - g + 3*g - 7*g. Give x(l(q)).\nAnswer: -2415*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 + 5*h**2 + 5*h + 2. Let n = 7 - 11. Let u be r(n). Let s be (2 - (-6)\/u)*128000. Round s to the nearest ten thousand.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u + 2. Let w be r(3). Suppose -6*z = -w*z. Let p be 4 + -8 + z - -7. Solve 2*d - p*d - 2*s = -2, -2*d = 2*s - 6 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 56 - 48 = 0. Let g = -48 - r. Solve 5*p - 4*f + 5 = 27, -g*f = 12 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - -6 - 6) + -11.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 743 is divided by 182.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s + 30 = -20. What is the remainder when s is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/22? (a) -0.04 (b) -4 (c) 0.5 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 829189 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 4*c = -9, -k = c - 2*c + 6 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 0.06, 0.5, -1, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t + 536*t**2 + 1332*t**3 - 435*t**3 - 534*t**2 - 2*t to i*t**3 + p + d*t**2 + r*t and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + -3)\/(2 - 3). Let s be 5*1 - (-29 - (-3 + -6)). Solve -10 = f*h - a + 3*a, 5*a + s = h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 7) in base 3?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -353736122 plus -0.4?\nAnswer: -353736122.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -5*a**3 + 25*a**2 + 20130*a = 0.\nAnswer: -61, 0, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - -699?\nAnswer: 697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gglssglsgslpglg. Give prob of picking 3 g.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 + 12 - 230*s**3 + 157*s**3 + 123*s**3 to the form x*s**2 + u*s**3 + t + z*s and give u.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 2, 3, -3, 359.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1350059 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 44901.5 rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**3\/9 - 1028*f**2\/9 + 2050*f\/9 - 1024\/9 = 0.\nAnswer: 1, 512","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1287, -1289, -1285, -1275, -1259?\n\"Answer: 3*v**2 - 11*v - 1279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8454 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 - 15. Solve -1 = -i - j for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 66 = 75. Let y = 13 + -10. Suppose -3*c - 2*m = -148, y*m + z + 6 = c. Round c to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2682 + -2680. What is the closest to n in 8, -0.4, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + -17 + 23 + 6?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32\/3 + 2\/3*a**2 + 4*a = 0. Calculate a.\nAnswer: -8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 150 by 1.\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*o = -6*o + 19. Is (-50428)\/(-42) + o\/3 + 0 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) -2\/3 (b) 0.01 (c) -24 (d) -5 (e) 1712\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23 + -21. Which is the third smallest value? (a) w (b) 0.06 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3297\/116852 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -178093673748 and -0.03?\nAnswer: 178093673747.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 836\/6 + 13\/((-156)\/(-8)). Let d be (9\/(-15))\/((-42)\/q). Solve 0 = -0*k + d*k + 6 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28.8 - -34. Let a = m + -5. Which is smaller: a or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -8, -3, 1, -19\/17, 1\/5 in ascending order.\nAnswer: -8, -3, -19\/17, 1\/5, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 42881193?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2975141*r**5 - 6352235*r**2 wrt r?\nAnswer: -178508460*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by 3033?\nAnswer: -8\/3033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3314 - 2521. Is 14 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19723, 39545, 59355, 79153, 98939, 118713, 138475?\nAnswer: 158225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 14*v + 2. Suppose -112 = -219*x + 107. Let y(q) = -q. Give x*d(k) + 6*y(k).\nAnswer: 8*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -1 - 10 + 5*r - 6*r. Is m(-14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -22*k**2 - 12*k + 12. Let w(r) = 2*r + 26. Let d(x) = x + 15. Let s(c) = 7*d(c) - 4*w(c). Calculate -j(m) + 12*s(m).\nAnswer: 22*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-13 - 21 - (-28 + 12)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 PM and 9:07 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 15053 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3867 and 8?\nAnswer: 30936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172 is divided by (-21)\/7*((-5)\/5 + -28)?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -177 - -165. Let d be (1 - 4)*23600\/n. What is d rounded to the nearest one hundred?\nAnswer: 5900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 - 10*z**2 + 9*z - 20. Let a be q(-11). Let w(o) = 7*o - o**a + 5 + 13*o - 26*o. Determine w(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*h + 133376 = -10*h + 131642 for h.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -7, -16, 54, -40 in increasing order.\nAnswer: -40, -16, -7, 0, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2682.981 - -2683. Is 8\/5 at most v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-42)\/3*(-18)\/9. Suppose -2*m + b = -2*h, 3*m + 2*m + 2*h = 42. Factor -6 - 2*q**2 - 7 + 0 + 5 + m*q.\nAnswer: -2*(q - 4)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*j + 5*t, -6 = 2*j + 2*t + 2. Let f = 422 - 426. Sort j, 5, f in decreasing order.\nAnswer: 5, j, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2261410072.1 - -0.08675\nAnswer: -2261410072.01325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 4\/12447?\nAnswer: 4\/12447","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 144 and 2451258?\nAnswer: 19610064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88*r + 20*r**3 + 18*r + 60*r + 10*r.\nAnswer: 20*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0*f**3 + f**4 + 101*f + 3 - 80*f + 0*f**3 + 4*f**5 wrt f.\nAnswer: 80*f**3 + 12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i - 7. Let x(l) = -2*l + 7. Let y(b) = -2*r(b) - 3*x(b). Is y(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -12, -7, -2, 3, 8?\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 3386 = 19*d - 2976, 3*d = -4*n - 82 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 18 = 6. What is the third derivative of -n**3 - 25*n**2 + 26*n**6 + n**h + 38*n**2 wrt n?\nAnswer: 3120*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, -13, -27, -37, -37?\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 0*z**3 + 0*z - 4\/3*z**4 + 0*z**2 + 14\/3*z**5 = 0. What is z?\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -8 + 6 - (-1 - 3). Let s(d) = 3*d - 6 + 7*d**2 - t - d**3 - d. What is the units digit of s(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -337 + 298 + 9*v**2 + 39.\nAnswer: 9*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 190507 - -16?\nAnswer: 190522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 477 by 6.\nAnswer: 159\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, s: 1, v: 3}. What is prob of picking 1 s and 1 v?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 5 + 7 = 0. Suppose 61 = k*t - 15. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.097 + -6.497. Let n = 81.4 + j. Which is the nearest to 0? (a) -5 (b) n (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 795981 * -0.16.\nAnswer: -127356.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1869288 + 1869091.9921. Let r = -196 - k. What is r rounded to three dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-k + k + k)*(8*k - 2 - 148 + 135) to h + t*k**2 + x*k and give t.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11834542*x**2 + 8672289 wrt x?\nAnswer: 23669084*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-28)\/7 - 1*2. Let t be d\/(-4)*(-8)\/(-6). Let i be 2\/(-4)*2*-16. Calculate the highest common factor of t and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 1, 0, 10 in ascending order.\nAnswer: -14, 0, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*q + 5*j, -5*q = 5*j - 0 - 10. Let u(l) be the second derivative of 5*l**4\/6 - l**3\/2 + 3*l**2\/2 - 2*l. Is u(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 2) + (-8 + 14 - 2) - -2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 1 (c) -374 (d) 160.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*x - 9*x**3 - 13*x + 42*x - x**2 in the form r + b*x**3 + q*x**2 + f*x and give f.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 1)*(-40)\/30.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 3*w - 0*n + 530, 4*n = -3*w - 532. Let f be 10\/w - (-8)\/44. Let o be 1\/(-2) - 5\/(-6). Which is the nearest to o? (a) f (b) -2\/11 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000004139642 to 5 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 PM and 3:39 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.4 - 0.3. Which is the second biggest value? (a) -4 (b) 0 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 AM and 1:54 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-1\/7)\/n)\/(n*n*(n*n**7)\/n*n) assuming n is positive.\nAnswer: n**(-71\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 4*b - 3. Let m be d(2). Let s(x) = 3*x + 5. Let n(i) = -7*i - 8 + 2 + 3*i. Calculate m*n(f) + 6*s(f).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 449882 is divided by 224922.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17472 and 9?\nAnswer: 52416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -27, -46, -65, -84?\n\"Answer: -19*s - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3078.18m in millimeters?\nAnswer: 3078180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*p - 4*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -63946930.000114 - -63946853. Let r = 11.5 + -88.5. Let c = f - r. Round c to five dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1545*h**3 - 62474*h + 116480382 with respect to h.\nAnswer: 4635*h**2 - 62474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15360 - -6593. What is the thousands digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i + 4. Let t(v) = 2*v - 4. Let l(w) = 7*n(w) + 6*t(w). Let y be l(1). Solve -3*u + u = -y for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 4*v - 18. Find the second derivative of -v*z - 6*z + z**3 + 6*z wrt z.\nAnswer: 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (48 + 29)) + 3 - 11.\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 - 28*a**2 + 95*a + 2936. Determine t(-28).\nAnswer: 276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 141306?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(243)*4)*-3 - -3*sqrt(243)*-5*2)**2.\nAnswer: 9072*sqrt(3) + 428796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**2 - 6 + 5 + g**2 - g)*(3*g - 5*g + 4*g)*(-3*g + g + 4*g).\nAnswer: 12*g**4 - 4*g**3 - 4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 13 = -0*p - p, -4*a + 12 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 72 + -39. Suppose 6*w - z = -5*w. Solve 0 = -f + 5*p - w*p, 2*p + 2 = 2*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 3*i - 39 = -9, -5*n - 4*i + 121 = 0. Solve 7 + n = -4*z + 4*w, -4*w = -16 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1601*v**5 + 274*v**2 + 4*v?\nAnswer: 96060*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 584, 635, 700, 785, 896, 1039, 1220, 1445?\n\"Answer: u**3 + u**2 + 41*u + 541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 12:35 PM?\nAnswer: 8:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1202113230 + 11?\nAnswer: -1202113214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 h when two letters picked without replacement from xxhxhxxxxxxxxxxxxxx.\nAnswer: 34\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 9*h**2 - 6*h. Let k be y(-6). Suppose -3*b + k = 2*b. Suppose -47 - b = -v. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6*x**3 - 8 - 4*x**3 + 5*x**3 wrt x?\nAnswer: -15*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 0*u + s + 38, -5 = u + 4*s. Let l(g) = 2*g - 3. Let z(n) = -2*n + 3. Let v(c) = 4*l(c) + 5*z(c). Determine v(u).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (391 - 778 + 393)*(1 - 1 + d + (-2 - 2 + 2)*(2*d + 5*d - 5*d)) to the form c*d + y and give c.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of 0*y**3 + 0*y**2 + 51*y - 27\/20*y**5 - 10*y**4 + 1. Find the third derivative of j(h) wrt h.\nAnswer: -162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from orodrrro. Give prob of picking 1 o and 1 r.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -416 - 252?\nAnswer: -670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 0*d + 2*d + 3*d - 5*d**3 - 2*d**4 - 3*d to p*d**4 + r*d**2 + b*d**3 + w*d + u and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -101339, -202678, -304017, -405356, -506695?\nAnswer: -608034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3473410, -6946822, -10420234?\n\"Answer: -3473412*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5496 by 6.\nAnswer: 916","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/35 and 73\/47344416?\nAnswer: 236722080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5036661 and 196?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*4*sqrt(325))**2 - (sqrt(143)*1*-2)\/sqrt(11)) + 3.\nAnswer: 2*sqrt(13) + 83203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 35 = 3*a, -32730*z = -4*a - 32733*z - 54 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159*s + 60 + 1227 = 198*s for s.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 138*x**2 + 12*x - 24*x - 19*x + 20. Let m be n(-10). Suppose -13*r + m = -10*r. Round r to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 477 is divided by 58?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 3*s + 34 = 10, 2*g - 2*s - 14 = 0. Suppose 2*r + 3 - 7 = 0. Suppose -2*l = -o - r - 3, -l + 5*o = -25. Solve g = -l*a + a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -57357.10355 to the nearest ten.\nAnswer: -57360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of -7*i**6\/45 - 2*i**5\/5 - i**4\/6 + 2*i**3\/9 + 5*i. Find l, given that p(l) = 0.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4042023?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 10) to base 6.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3103 (base 6) in base 3?\nAnswer: -221110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.3960941cm?\nAnswer: 3960.941","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66909899.\nAnswer: 7, 113, 84589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of -d**6\/60 + d**5\/10 - d**4\/8 - d**3\/3 + d**2 + 57*d - 2. Solve a(t) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d - 3*d + 5*d)*(2*d - 2*d - 2*d**2) + 4*d**3 - 5*d**3 - 2*d**3 + (-2*d + 2*d + 2*d**2)*(4*d - 2*d - d) + (0*d**3 - 4*d**3 + 3*d**3)*(7 + 4 + 2).\nAnswer: -18*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u. Let y(s) be the third derivative of 0 + 1\/4*s**4 - s**2 + 0*s + 0*s**3. Determine a(y(t)).\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 - -2 - 2) + 9. Suppose -3*s = -m*s + 2. Suppose 3*y - 10 + s = 0. Is y a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + (sqrt(16)\/sqrt(72))**2 + 0 + sqrt(200)*-2*-4.\nAnswer: 2\/9 + 81*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = -13, 20572*z - 35 + 7 = 20566*z - 4*b for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2492.07 + 2492. Put x, -2, -1, 2\/11, -0.1 in decreasing order.\nAnswer: 2\/11, x, -0.1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -9*h**3 + 507*h**2 - 184*h + 284. Give k(56).\nAnswer: -612","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16247 and 44611.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 - -35260?\nAnswer: 35259.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (44 - 107) + 71 + 25\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 f when two letters picked without replacement from {p: 2, m: 1, t: 3, l: 1, z: 4, f: 1}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-27)\/6 - -2)*2. Let x = s + 7. Calculate the least common multiple of (-78)\/(-8) + (-1)\/(-4) and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 21 (b) 0.1 (c) 0.2 (d) 4 (e) 24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 48 and 6?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d**2 + 111*d + 880. Calculate c(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q. Let f(j) be the second derivative of 5*j**4\/12 + 83*j. Determine c(f(k)).\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32055, -32051, -32021, -31947, -31811, -31595, -31281, -30851?\nAnswer: -30287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -183 = -c - 16. Let r = c + -172. Sort -6, 5, r.\nAnswer: -6, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/32070 and -37\/25?\nAnswer: 160350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -3.044?\nAnswer: -9.132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10204465 + 28164323813\/2760. Let k = 4569\/347944 - -6\/1891. Let i = a - k. Is 1 less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2 + 261*r**3 - 223 + 869*r**2 - 869*r**2 - 46 wrt r?\nAnswer: 783*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 227 + -113. Suppose i + j = -2*i. Let m = -19 - i. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 36359 by 1.\nAnswer: 36359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 23 = 5*c + 23, -2*g + 30 = -3*c. Let l(y) = -14*y + 3. Let s be l(5). Find the common denominator of 9\/g - s\/(-20) and -15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 + -10. Suppose -19 + 1 = -6*g. Suppose 3*j + 4*o = -j + 16, g*j - 26 = m*o. Is 2 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -4 - -14 - ((5 - -3) + 2 + -8).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j - 5. Let d be (2\/(-4))\/((-2)\/(-16)). Suppose k + 2*k + 21 = 0. Let p = d - k. Give c(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 482 + -482.5. Put -43, -2, f in descending order.\nAnswer: f, -2, -43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 6*z - 1. Let a(g) = 0*g**2 - z*g**2 + 2*g**2 - 6*g**2 + 1. Determine a(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j + 4. Let y be w(7). Let g(d) be the third derivative of -d**4\/12 - 5*d**2. Calculate g(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 3*f = 14, 6*p = 7*p + 4*f - 17. Suppose 2*c - 6*c = -20680. Is (2 - p)\/(10\/c) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -40, -8, -2, 0, 993, -5 in decreasing order.\nAnswer: 993, 0, -2, -5, -8, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1986 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -321133*l**2 + 3*l + 5. Let g(x) = x. Determine g(r(q)).\nAnswer: -321133*q**2 + 3*q + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kuy when three letters picked without replacement from {k: 1, y: 2, u: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(21\/5)*c\/((((c*((c*c\/(c*c**(4\/9)\/c*c*c*c))\/c)\/c)\/c)\/c)\/c))\/(c**24\/c**(-6\/23)) assuming c is positive.\nAnswer: c**(-14093\/1035)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4692, 3495, 2298, 1101, -96, -1293?\n\"Answer: -1197*r + 5889","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 13*r + 440. Is 123 a factor of m(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pgg when three letters picked without replacement from {z: 5, s: 5, u: 5, p: 1, g: 4}?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3713467 or -14853867\/4?\nAnswer: -14853867\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*m**3 - 117*m**2 + 6*m**3 + 454*m**2.\nAnswer: 15*m**3 + 337*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 - -14. Suppose -3*a + 59 = 4*d, 6*d - 5*a - 65 = d. Suppose d = -4*b + 5*b. Solve 2*x + f = b for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1163808, -1163810, -1163812, -1163814, -1163816?\n\"Answer: -2*s - 1163806","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5012339, 10024679, 15037019, 20049359?\n\"Answer: 5012340*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5410901999?\nAnswer: 281, 19255879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-4)*(-4 - 0) + -5. What is the third smallest value in 54, -2, s, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12959 + 64843\/5. Find the common denominator of p and -113\/18522.\nAnswer: 92610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-1\/24)\/b*b*b**(-2\/17))**(-4) assuming b is positive.\nAnswer: b**(-343\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 701 + -700.2304. Round h to two decimal places.\nAnswer: 0.77","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4513030 a multiple of 328?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2922, -5986, -9070, -12180, -15322, -18502?\n\"Answer: -g**3 - 4*g**2 - 3045*g + 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1002101 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 64328*p + 3988339. What is l(-62)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3183 - -3188. Which is the third smallest value? (a) -0.079 (b) 3\/4 (c) -4 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3326\/13 + 256. Let u = 1.5672 - 6.5672. What is the smallest value in 3\/2, u, -1, h?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 7:46 AM?\nAnswer: 7:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94081677.\nAnswer: 3, 811, 38669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6703733191.\nAnswer: 4789, 1399819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26512632 and 396?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13045551 is divided by 484?\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 PM and 9:15 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -75, -369, -865, -1569, -2487, -3625, -4989?\nAnswer: -6585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -50, -17, -1\/10, -10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o**2 - o + 1. Let t(i) = 112*i**2 + 18*i + 9. Let m(g) = t(g) - 5*x(g). Is m(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f**3. Let i be r(-1). Let q = -6 - -6. Let u be ((-51)\/(-34))\/(q + 6\/8). Solve u*h - i = -4 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-8)\/(-6))\/((-16)\/(-1464)). Let d = y - 207. Let a = d - -107. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 l when two letters picked without replacement from {a: 5, b: 1, n: 3, l: 3, j: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 5*j - 4391 + 4369 = 0, m + 13 = -4*j for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -66521 divided by -6\nAnswer: 66521\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -200*a + 199*a + 4*t, -13 = 3*a - 2*t for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 34\/1295 and 53\/3280.\nAnswer: 849520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.4 + 0.3. Let t = 0.6 - -0.4. Which is greater: d or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + 1. Suppose -9*k + 133 + 164 = 0. Calculate the greatest common factor of k and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.73 - -0.13. Round c to zero decimal places.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -7*t**2 + 160*t + 5. Let w(q) = 3*q**2 - 64*q - 2. Let j(f) = -2*d(f) - 5*w(f). Let i(c) = -c**2 - 62*c. Determine i(j(x)).\nAnswer: -x**4 + 62*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of 1\/30*b**4 - b - 2\/5*b**3 + 0 + 9\/5*b**2. Let j(d) = 0. Calculate d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*y**4 - 18545*y**3 + 4233420*y**2 - 275482480*y + 217686080 = 0 for y.\nAnswer: 4\/5, 109, 316","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4424 (base 7) to base 15\nAnswer: 70b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u + 7*u = -5*w - 44, -2*u + 5*w = -26. List the prime factors of 4774\/9 + (-8)\/u.\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/6)\/((-3)\/(108\/(-8))). Let p(s) = 14*s**2 - 4*s + 12. Is 15 a factor of p(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -3*j + 17. Suppose -j*y = -5*t - 12227, -6*t - 6136 = -y - 11*t. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2164, -2156, -2134, -2092, -2024, -1924, -1786?\nAnswer: -1604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -5*n + 3*t + 257, 0 = -3*n - 4*t + 199. What is the highest common factor of n and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 7*c + 10. Let b be 4\/2*(4 + -3). Sort b, c, -1 in increasing order.\nAnswer: c, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36248463.\nAnswer: 3, 29, 138883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**2\/j**(-5))**(2\/37) assuming j is positive.\nAnswer: j**(14\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 594203 to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - (-1)\/1)*-3. Let r(m) = -2*m**3 + 2*m**2 + 2. What is the units digit of r(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - 4*p**2 + 2*p + 61. Let o(c) = c**3 - 5*c**2 + 3*c + 62. Calculate 3*j(a) - 2*o(a).\nAnswer: a**3 - 2*a**2 + 59","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42531.9l to millilitres.\nAnswer: 42531900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -67739, -67922, -68107, -68294, -68483?\n\"Answer: -q**2 - 180*q - 67558","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/8*6520\/(-163)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 129 - 5. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 767591220 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2*o**2 - 75*o + 332. Let s be b(4). Solve s = -9*d + 12*d + 27 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 AM and 4:21 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4536652, 18146606, 40829862, 72586420, 113416280?\n\"Answer: 4536651*g**2 + g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 160113 and 689?\nAnswer: 2081469","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 184604184 to the nearest integer?\nAnswer: 13587","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10.945 - -11. Let r = 0.03 + -0.064. Let q = p + r. Round q to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*x - 10 = -16*x + 3*v, -4*v + 28 = 5*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 to the power of 1\/3, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(833)*-3)**2 + (-4 + sqrt(833)*-2 - sqrt(833)) + (0 + (sqrt(833) - (sqrt(833) - (sqrt(833) + sqrt(833)*-2)*-1)))**2.\nAnswer: -21*sqrt(17) + 30817","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 43 + -29. Let t(h) = h**3 - 11*h**2 - 34*h - 12. What is the units digit of t(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 932286 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 114 (base 5) to base 14\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a centimeter in millimeters?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -941639832 - -0.1.\nAnswer: -941639831.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37740580.\nAnswer: 2, 5, 1887029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3688682 divided by 6?\nAnswer: 1844341\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + (sqrt(171) - sqrt(171)*2)*3 + sqrt(171) + -4*-2*sqrt(171))\/(sqrt(36)\/(sqrt(64)*3))*-4.\nAnswer: -336*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*d**2*w**3 - 6713*d**2*w**2 + 21*d**2 - 2*d*w + 28198*w**3 wrt d.\nAnswer: -4*w**3 - 13426*w**2 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9526 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -41 + 66. Let c = -5 + w. Suppose -b = -5*b + c. Solve -s + 2 = b for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-1\/2)\/(g*g\/g**(27\/5)*g*g)*(g*g**(-1\/12))**(-2\/67) assuming g is positive.\nAnswer: g**(877\/1005)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3063 + 359. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/13 or 169393?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 40314621433 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -60*o. Let j(l) = 5*l - l - 38*l - 16*l + 2*l. Calculate j(u(y)).\nAnswer: 2880*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + 14 + -5 + (-91 - (-22 - -11)) + 6.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 143 + -145. Let c(d) = -d**2 + 3*d + 8. Let r be c(i). Let t(q) = -3*q. Let a(m) = 4*m. Let k(p) = 4*a(p) + 5*t(p). Let h(u) = u. What is r*h(y) + k(y)?\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000818538126 rounded to four dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3955.303 rounded to zero dps?\nAnswer: 3955","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*x**3 - 3*x**3 - 74*x**3.\nAnswer: -63*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5191886, 4, 2 in ascending order.\nAnswer: -5191886, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - 3*n**2 - 3*n + 4. Let u be d(4). Solve -4*b + 3*v - u = 2*v, 3*b - 2*v + 6 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (8 - ((1 - -3) + -111 + 122)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k**3 - 32*k**2 + 33*k - 14. Let p be i(22). Suppose 5*t = -2*s + 2615, 31*t - 36*t - p = -5*s. What are the prime factors of s?\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/41 not equal to -0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - 3*z - 3*z)*(-2 + 2 - 3)*(-4*z**4 - 3*z**4 + 5*z**4 - 3*z**3 + z**4 + 3*z**3 - z**4 - 4*z**4 + 4*z**4 + (z + 1 - 1)*(2*z**3 - 3*z**3 + 0*z**3)).\nAnswer: -45*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2524 + -2521. Is m smaller than 38\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.208 (b) -699 (c) -5 (d) 0.2 (e) 3 (f) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3455 - 0.3455. Which is the third smallest value? (a) -350 (b) 0.3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -4*b**2\/3 - 274719752*b\/3 - 4716933883683844\/3 = 0.\nAnswer: -34339969","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 - 2*y - 1. List the prime factors of k(-5).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60755256?\nAnswer: 2, 3, 843823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -208.94 - -209. Which is the closest to 0.1? (a) t (b) 2\/11 (c) -0.2 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - k = -36. Let u = 27 - k. Factor 4 - 4*h - u*h - 18*h**2 - h.\nAnswer: -2*(h + 1)*(9*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 6*m. Suppose m = 2*v + r - 9, 3*v + r - 2 - 12 = 0. Let h(p) = 3*p - 3*p - p**2 - v + 2. Calculate h(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 4*h - 23 = 0, 6*h - 10*h - 33 = 3*n. Let m(v) = -v**2 - 1. Let f(l) = 2*l**2 + 6*l + 5. Let i(t) = -f(t) - m(t). Calculate i(n).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1008 and 1440?\nAnswer: 10080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of z**4\/30 - z**3\/5 + 2*z**2\/5 + 30*z + 4. Factor u(b).\nAnswer: 2*(b - 2)*(b - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3\/5 - 75893*m**2\/5 - 212471*m - 3718071\/5.\nAnswer: -(m + 7)**2*(m + 75879)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h - 1. Let j(p) = p**2 - 18*p + 33. Let l be j(16). Let n(c) = c**2 - 3*c + 3. Let k(d) = l*n(d) + 3*v(d). Let f(i) = -13*i**2 + 1. What is k(f(u))?\nAnswer: 169*u**4 - 26*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 - 64*a + 79. Let f be n(67). Calculate the highest common divisor of 980 and f.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + d = 0, 5*d - 32 = -0*c - 3*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from {f: 2, c: 2, a: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111795?\nAnswer: 3, 5, 29, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*i - 44*i + 758249 = 0. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-58)\/(-80) - (-120)\/(-200).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 8 = 4*c, -c = 5*q - 19 + 1 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (48\/(-160))\/(96\/40).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -0*s - 50. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1239 - 1238. Let l be 6\/(-27) + 8\/18. Which is the closest to 1\/5? (a) 2\/5 (b) t (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 AM and 2:15 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 5*f + 13 + 5, -s = f + 4. What is the common denominator of (f - (-10)\/6)\/((-126)\/(-574)) and -23\/11?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4824 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1454?\nAnswer: 2, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56926 - 29046 = 1326*s - 64940 for s.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -6, -20, -50, -102, -182, -296, -450?\nAnswer: -650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -25 in 0.5, -4\/3, -5, 0.2, 313?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 24 = 2*a, 92 = -9*a + 2*d + 60 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -36 - -64. Let j = n - 27.9994. What is j rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 215 + -95. Suppose -5*g = -5*x + s, x + g = -0*g + 20. Is 10 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 - -26 - ((-2 - 1) + -1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/6 - 3\/2. Let d be (-17)\/2*2 - -1. Let c be ((d\/15)\/4)\/(-2). Which is smaller: c or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 36356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2076 (base 8) to base 11\nAnswer: 8a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00270675695 to seven dps.\nAnswer: -0.0027068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mjjj when four letters picked without replacement from ssgmjsgsmsjjgsjsgj?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 58161*p**4 + 3*p**2 - p + 7930 wrt p?\nAnswer: 1395864*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3\/4)\/j**(-2\/5))**(-2\/49)\/(((j\/(j\/j**(2\/7)))\/j*j)**(-45)\/(j**3\/(j*j\/j**4*j))) assuming j is positive.\nAnswer: j**(1181\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-158*v**3 - 26*v**4 + 158*v**3 + v**4 - v**4 - v**4 + (-v - 3*v + 2*v)*(0*v**2 + 0*v**2 + v**3) + 1 - 1 - 2*v**4)*(2 - 3 - 1).\nAnswer: 62*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 0*r - 12. Let i(j) = 3*j**2 - 4*j - 3. Is 23 a factor of i(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -535 + 535.0314. Let q = -3.9686 - l. What is the nearest to 0.7 in q, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65 + 24 + -21 + 45.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -268*s**2 + 268*s**2 - 54*s**4 + (-1 + s**2 + 1)*(2 - s**2 - 2).\nAnswer: -55*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 50, 172, 370, 638, 970, 1360, 1802?\n\"Answer: -p**3 + 44*p**2 - 3*p + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*d - 6*d + 0 + 0 in the form l*d + m and give l.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + 2 - 5 - (-3)\/2. Let r = 138\/395 - -4\/79. Which is the closest to d? (a) -5 (b) r (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 476766 + -12.06.\nAnswer: 476753.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 7, s: 4, i: 4}. Give prob of picking 1 i and 2 s.\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -86458*u**4 + 334*u**3 + 2*u**2 - 237*u + 19310.\nAnswer: -2074992*u + 2004","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 23*q**2 + 5*q - 5. Let j(m) = -11*m**2 - 3*m + 3. Let b(y) = -3*d(y) - 5*j(y). Let r(u) be the first derivative of -u**3\/3 - 38. Calculate b(r(c)).\nAnswer: -14*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165*p + 3371550 = -15*p. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 16*i**3 - 6*i**2 - i + 11. Let k = -31 + 34. Let x(z) = k*z**3 + 1 - 3*z**2 - 2 + 2*z**2 + 3. What is -2*n(p) + 11*x(p)?\nAnswer: p**3 + p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -188 - -53. Let k = j - -155. Solve 5*r + k = -3*q, -q - 4*r = -r + 12 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 130 + 223330022?\nAnswer: 223330212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 1 = 1. Solve s = -4*c + 22 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - -e3550?\nAnswer: e3552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**2 + 239620*h - 55565664.\nAnswer: 4*(h - 231)*(h + 60136)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1735?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of -c**3\/3 + 13*c**2 - c - 176. Suppose -4*m + 14 = -14. Let l be r(m). What is the greatest common divisor of l and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22001 - 15144. What is the thousands digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v\/((v*v\/((v\/(v*v*v**(-1\/2)))\/v*v))\/v*v*v))*v)\/v)\/v**2 assuming v is positive.\nAnswer: sqrt(v)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.668288722 to 2 decimal places.\nAnswer: -3.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.04241 + -0.04241. What is the third biggest value in -5, 1\/7, -9, p, 3\/4?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 259072088 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-63)\/84)\/((-15)\/452860) + 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 + 3*j**2 - 3*j + 8. Let b be k(-4). Solve s - b = -2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -9 (b) 14\/17 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110010001010011110 - -101?\nAnswer: 110010001010100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5514616?\nAnswer: 2, 163, 4229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10496.357 + 10460. What is b rounded to the nearest integer?\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 + 26*t - 64. Let r be u(-28). Let m(d) be the second derivative of 2*d**3\/3 + d**2 - 1410*d. Let p(n) = 12*n + 5. Determine r*m(k) + 3*p(k).\nAnswer: 4*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**2 + m - 1. Let i be d(-1). Suppose 2*u - 8 = 0, k + i*u - 39 = -u. List the prime factors of k.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1163 + 1163. Which is smaller: -0.07 or f?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*b**2*j**2 + 34*b**2 + 71*b*j**2 + 2*b*j wrt j?\nAnswer: -4*b**2 + 142*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*a + a - 30 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -462, -467, -472, -477, -482, -487?\n\"Answer: -5*m - 457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 94 + 226 = 0. List the prime factors of s.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 - y**2 - 73. Calculate s(0).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 129032\/15 + 2\/15*g**2 - 1016\/15*g.\nAnswer: 2*(g - 254)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-2))\/(((-1620)\/(-24))\/9).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -11*c**3 + 5*c**2 + c + 4. Let k(n) = -11*n**3 + 6*n**2 + 2*n + 5. Let z(m) = 3*k(m) - 4*s(m). Is z(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from ylliliiyyylyylb.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 7. Suppose -15 = 5*g, 4*x + 2*g - 7 = 3*g. Is x*a*(-111)\/12 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of 17*x**6\/30 + x**5\/4 + 69*x**2 + 23*x. What is the first derivative of w(i) wrt i?\nAnswer: 68*i**3 + 15*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1181*v + 627*v + 249*v)*(v - 2*v + 3 - 39)*(6*v - v - 3*v) in the form j*v**3 + k*v + a + h*v**2 and give j.\nAnswer: 610","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is a82de (base 15) in base 7?\nAnswer: 4352405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 8\/17 (b) -0.06 (c) 1\/407 (d) -1\/5 (e) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2366, 2380, 2406, 2450, 2518, 2616, 2750, 2926?\n\"Answer: o**3 + 7*o + 2358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3 and 522581.\nAnswer: 522578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d + 6*d**2 + d + 4*d**2. What is the units digit of z(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f**4\/f))\/(f**(-2\/7)\/f))\/(f**3*f*f\/(f**(-2\/25)\/f)) assuming f is positive.\nAnswer: f**(-1364\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of 2*n**2 - 7. Let v(z) = -1 + z + 2 - 3*z. Let s(w) = -w + 1. Let l(j) = -s(j) + v(j). Calculate l(q(t)).\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -4*a**3 - a - 3. Let k(o) = -o**3 - 1. Let z(n) = 7*k(n) - 2*m(n). Let x be z(1). Solve 3*b - 10 = f - b, -10 = -2*f - x*b for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*a**2*u**3 + 67849*a**2 - 2125*a*u**4 + 30*a*u**3 - 14*a*u**2 wrt u?\nAnswer: -12*a**2 - 51000*a*u + 180*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(612) - (sqrt(1377) - 1*sqrt(1377)).\nAnswer: 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - u - 5, 3*b - 4*b + 5 = -2*u. Solve 5*w - b = -i + 3, 0 = 3*i + 4*w - 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 5*x + 3. Let l be (-2)\/4 + 6\/4. Let i be m(l). Do 8 and i have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1889*o + 923*o = -927*o - 156. Let m(r) be the first derivative of -3*r**2 - 3*r - 1. Calculate m(o).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26.8 + -31. Let p = k - -4.3. Let v = 0.2 - -2.8. What is the nearest to -1 in 4, v, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1069d (base 16) in base 15?\nAnswer: 14dbe","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -8*z. Let k(x) = 4*x. Let r(v) = -9*v. Let h(d) = 5*k(d) + 2*r(d). Calculate s(h(l)).\nAnswer: -16*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8429 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21\/(-12) + 2)\/(1\/(-3))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 24 (c) -24\/5 (d) 5.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 + 14*z - 65. What is the least common multiple of 56 and t(4)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8193447 kilograms in nanograms?\nAnswer: 819344700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100 (base 4) in base 12?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) -0.06 (b) 10 (c) -5 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 28 = -3*s - 27, -s + 145 = -10*m for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/5, 14, 285 in decreasing order.\nAnswer: 285, 14, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 41*b - 2 + 2 - 1. Let q be v(1). Suppose q = 5*y - 0*y. What is the remainder when y is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 133023331 (base 4) in base 16?\nAnswer: 1f2fd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -276, -277, -280, -285, -292, -301?\nAnswer: -312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -110011010 (base 2) in base 11?\nAnswer: -343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-40)\/4*1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 158428 to the nearest 10000.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**4\/4 - q**3\/4 - 9*q**2\/4 + 9*q\/4 = 0. Calculate q.\nAnswer: -3, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7\/64 - 191\/576. Which is the closest to 0.2? (a) 2\/17 (b) -0.2 (c) v (d) -0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 13*r + 7. Let m be i(5). Suppose 608 = 5*x - m. Suppose 12*h - x = 11*h. List the prime factors of h.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 (base 10) in base 3?\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 312\/13*-5*((-54)\/(-45))\/6\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 + 5*g + 7. Let o be z(5). Let p(d) = -d**3 + 7*d**2 + 2*d - 14. Let q be p(o). Let c = -557\/13 + 43. What is the nearest to q in 2\/3, c, 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 AM and 10:00 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + q - 118 = 0, -6*c + 3*q + 272 = 56 for c.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2. Let g(d) = -d**3 - 3*d**2 + 4*d + 2. Let h be g(-4). Let k(t) = h*t + t - t. Determine c(k(v)).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75684 + -233527.8.\nAnswer: -157843.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35960 and 271560.\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00930445093 to 4 dps.\nAnswer: -0.0093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/12)\/(2\/(-2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6508.665 weeks in microseconds?\nAnswer: 3936440592000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7820005 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 242.6.\nAnswer: -970.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 - 7. Suppose g + g = t. Let q(p) = p - 1. Give q(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.6741262 years?\nAnswer: 0.0006741262","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 AM and 6:04 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 53*c**3 - 112*c**3 - c + 66*c**3. Suppose -3*u = 2*u. Suppose -o - 3 = 5*n, u + 1 = n + o. Calculate g(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 13, 42155, -9.\nAnswer: -9, 8, 13, 42155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -3. What is the units digit of -1 + 4 - (o + -7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(2\/3)*i)\/i**(-6\/11))**(-20) assuming i is positive.\nAnswer: i**(-1460\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = k - 19. Suppose 0 = 3*c - k*c - 21. Let n(j) = -6*j**3 - 4*j**2 + 4*j. Let m(t) = -11*t**3 - 7*t**2 + 7*t. Let v = 2 + 2. What is c*n(x) + v*m(x)?\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14159?\nAnswer: 14159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 310.12758 rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -16*f - 6. Let c(g) = -17*g - 5. Determine 5*b(y) - 6*c(y).\nAnswer: 22*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5509+1178\nAnswer: 6687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23526 (base 12) to base 3.\nAnswer: -2102000210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -268863, -268866, -268873, -268884, -268899?\n\"Answer: -2*u**2 + 3*u - 268864","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 127694*k**4 + 11*k + 499 wrt k.\nAnswer: 1532328*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -2.5. Let s be 8\/18 - (-73194)\/(-13662) - 36\/414. Which is the nearest to -0.1? (a) v (b) -0.06 (c) s (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7569 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1717, -3428, -5123, -6790, -8417, -9992, -11503?\nAnswer: -12938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -7. Let y be -3 - 0 - -5 - -8. Let v be 4\/(-16)*16\/y. Which is bigger: l or v?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 335 = -6175. Does 16 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 - 24*i - 126. Let u = -137 + 121. Let r be k(u). Solve n = 0, -r*n - 1 - 11 = -4*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 77017?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-6)\/12*10 + 7 + 3463.\nAnswer: 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/4*200\/(-150).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 7:25 AM?\nAnswer: 3:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -43*t + 55*t - 288. Calculate the greatest common divisor of t and 324.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 + 4*i - 7. Let q be v(-6). Put q, -0.5, 4 in increasing order.\nAnswer: -0.5, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 PM and 4:13 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -349 - -598. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + n = -246. Let x = n - -44. Solve 4*u + 1 = 3*b, -8 = -5*b + 2*u + x for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 0*o + 2*w - 28, 0 = 4*o + 5*w - 40. Suppose -70 = -o*q + 55. Let m be 69\/(-15) + (-10)\/q. What is the fourth smallest value in m, -4, -2, 2.7?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + 21?\nAnswer: 1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -3. Suppose 0 = -5*o - 3*v + 10, -o - 5*v + 10 = 4*o. Suppose 0 = -3*r - o*n + 17, -n + 7 = h*r + 3*n. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 3*j**2 + 1267*j + 6274. Give t(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -120*h**2*l**2 - 2*h**2*l - 2*h - 6*l wrt l?\nAnswer: -240*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 428002351?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 5*g**2 - 167*g + 1460. Calculate i(9).\nAnswer: 362","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/5, 1\/2, 19.4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1413 and 0.279.\nAnswer: 394.227","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 15*q + 14*q - 5*q**2 - 39*q + 5*q**3 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -3*m + 30. Let w be u(9). What is the highest common factor of 2 and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o - 268*o**2 - o + 257*o**2)*(4 + 184 + 28).\nAnswer: -2376*o**2 - 216*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2005?\nAnswer: 5, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (2*14673\/(-12))\/(4\/(-8))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = w - 39. Let x = w + -50. Let f = x - 41. Solve 4*p + 3*h = -5, f*p - h - h + 20 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -11*p**2 - 13*p + 8. Let y(l) = 5*l**2 + 6*l - 4. Let x(w) = -13*y(w) - 6*z(w). Let s be x(6). Calculate the highest common divisor of s and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 + 6*p**2 - 35*p + 111. Let y be g(4). Solve 0 = -2*b + y*i + 1, i + 6 - 3 = 2*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -362*q**3 + 186*q**2 - 19543 with respect to q.\nAnswer: -1086*q**2 + 372*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/17172 and -161\/992160.\nAnswer: 8929440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c**4 - 6 + 6)*(-6 - 230 - 231 + 97 - 117).\nAnswer: -1948*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - -101?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*r - 62 = -3*u, 104 = -594*u + 598*u - 8*r for u.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 27727729 to the nearest 100000.\nAnswer: 27700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*v - 17*v + 12 = 0. Let p(h) = -3*h + 12. List the prime factors of p(v).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = d. Suppose d = 2*i - 4*c - 4, 2*i + 4*c - 12 = -0*c. Suppose 2*z + 0 = i. Solve -h + 2 = -z*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.4267743 and 13213.\nAnswer: 13213.4267743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -48*w - 56. Let q be v(-8). Suppose -4*h + 2*a - 6*a + q = 0, -324 = -4*h - 5*a. Is h a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 296\/14 - 5\/35. Solve -b + 19 = -j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*l + 6*l + 2*l**2 + (0*l**2 + 3*l**2 - 4*l**2)*(5 - 3 - 1).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1.759 times 2.98\nAnswer: -5.24182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 5 = 2*t - 0*t, -12 = 4*d. Solve -j + 1 = 2*x, -j + t*x = -3*j + 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 289610\/21 + -13794. What is the common denominator of i and (6\/(-7))\/((-63)\/308)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*q - 90 = 8*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m - 30. Let n be u(-15). Let i(v) = v**3 + 6*v**2 + 3*v + 2. Let r be i(-3). Let j = n + r. Solve j = -4*g + 2*w - 6*w, -5*g + w = 7 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from {f: 4, b: 3, q: 7}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 11120200022 (base 3) in base 7?\nAnswer: 523601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*((-19)\/21)\/19.\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -76*h + 116*h - 4440. Solve -h = -10*j - 121 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d - 6. Let b be v(-6). Let a be 1*2\/(-7)*-7. Let z(q) = 2 - a - 7 - q**2 - q. Determine z(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -692 - -692.3. Sort v, -0.15, -2, -3\/7 in descending order.\nAnswer: v, -0.15, -3\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 747 + -698. Does 4 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*g = -24*g + 54. What is the remainder when 69 is divided by g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 134701*i**2 - 10*i. Let g be l(10). What is g rounded to the nearest 100000?\nAnswer: 13500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 4. Suppose w = m + 38, -g*m = 5*w - 266 + 76. Is 10 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186577 divided by -14?\nAnswer: -186577\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7.873 + -1.873. What is the third smallest value in q, 4, 27, -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -226.\nAnswer: 3\/226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 421230 + -21132?\nAnswer: 400043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of 0*a**2 - 2\/3*a**4 + 0 + 2\/3*a**3 - a + 1\/5*a**5. Let z(q) = 0. What is q?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -192*s - 16500. Give n(-86).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 762.\nAnswer: -762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 at most 85?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, 45 in ascending order.\nAnswer: -3, -2, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 7740 to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 7, e: 2, n: 1, f: 4, z: 4}. Give prob of picking 2 h.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 31 - 12 - (-1 - 3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x\/(x\/((((x\/(x*x**(-3)))\/x)\/x)\/x)))\/x)*x**(2\/11))**22 assuming x is positive.\nAnswer: x**48","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -51298, -102596, -153894, -205192, -256490?\n\"Answer: -51298*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -d - 7, 17*s - 13*s - 4*d - 12 = 0. Factor 18 - s*w + 2\/9*w**2.\nAnswer: 2*(w - 9)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w**4 - 1 + 1 + (2*w**4 - w**4 - 2*w**4)*(-4 + 2 + 0) + w**2 + 13*w**4 + 6*w**4 + 11*w**4 to the form d*w + q*w**2 + m + s*w**3 + k*w**4 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -9*j + 8. Let s(g) = -23*g + 23 - g - 2*g. Give -17*f(a) + 6*s(a).\nAnswer: -3*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -3*b - 14, -3*b + 10 = 5*q + 23. Suppose 0 = 4*v + 4 - 128. What is the remainder when ((-1104)\/18)\/(b\/9) is divided by v?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003334571 to 5 dps.\nAnswer: 0.00333","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -2*v. Let m(w) = w + 5. Let x be m(-3). Suppose -3*s - 4*s = -140. Solve -x*n + 6*n + s = v for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -280, -281, -282, -283, -284?\n\"Answer: -w - 279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z - 33 + 1193 = 0. Let s = z - 139. Let u(i) = -2*i**3 + 11*i**2 + 4*i + 15. Calculate the remainder when 3 is divided by u(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 - 14. Suppose 4*w - 279 = -7*v + 2*v, -3*w + 208 = n*v. What is the remainder when w is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 17*h**3*u + 2*h**3*v - 20*h**2*v**2 - 2*h*u*v**2 + 4*h*u wrt v?\nAnswer: 2*h**3 - 40*h**2*v - 4*h*u*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6434.394 decades in millennia?\nAnswer: 64.34394","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 339\/452 + (-1 + 9\/7 - (-1147)\/(-1295))\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) -5 (c) 1 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 209 and 475?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1212.693825 and 0.0765.\nAnswer: -1212.617325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 1. Let h = -5 + z. Sort h, -2, 1 in descending order.\nAnswer: h, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 5)*(-4*i**4 + i**4 + i**4) + 5*i**4 + 0*i**4 - 3*i**4.\nAnswer: -2*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o**5\/3 - 8*o**4 - 5*o**3 + 4*o**2\/3 = 0 for o.\nAnswer: -4, -1, 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35.599 + 35.63714. What is the closest to -1\/3 in 2\/11, r, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5\/3, -38, 1.3, -0.031, -8, 1\/3?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 108*r + 5*r**2 + 5*r**2 - 9*r**2 in the form i*r + k + q*r**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1331629 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -14*p + 3 - p**2 + 1 - 8. What are the prime factors of k(-11)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -235 divided by 47?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/4 - 6\/(-4). Suppose -2*u + 4*x = 6 - 30, 5*u + n*x = 0. List the prime factors of u + 1\/(1\/1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1300) - (sqrt(1300) + -1)) + 5 + sqrt(104)\/(sqrt(128)*-1)*-1.\nAnswer: sqrt(13)\/4 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/5 of a kilometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 3*l - 9 = 0, v + 2*l - 6 = 4*l. Let b = 8 + -7. Let f = b - -1. Solve -f*z + z + 2 = v for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -5. Suppose 0*h = z*h. Suppose -6 = -2*r + 3*k, 5 = r - 0*k - 2*k. Sort h, r, -4 in decreasing order.\nAnswer: h, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/1938 and -99\/150736994.\nAnswer: 452210982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-27)\/(-12)*(-24)\/(-9). Let x = r - 5. Which is the nearest to 0? (a) 3 (b) x (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8651\/15 - -8079\/14. Calculate the common denominator of l and 99\/10.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*n - 38 + 272 = -5*v + 133, -2*v + 3*n = -22 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1759 + -1704. Let w(j) = 3*j. Let m be w(11). Calculate the greatest common divisor of u and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*l - 444 = -462 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 2\/7 (b) -3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -88568 < -88568?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -9.5 (b) -5 (c) 0.119\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -247.1 + 247. Let k = 0.6 + 0.2. Let n = k - -0.2. Which is the third biggest value? (a) -0.3 (b) n (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 70.498 - 46.73. Round l to the nearest integer.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.14 + -0.84. Let f = h - -11.7. Let l = f + -11.1. Which is the nearest to 0? (a) 0 (b) l (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 4*o - o = 20, -8 = n + o. Let l(f) = -f - 7. Let i be l(n). Suppose 36 = 7*p - i*p. Solve -p = 4*b - b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 1 (b) 66 (c) -0.674 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 3*j + 8, 3*x + 12 = -x - 5*j. Find the second derivative of 6*z - 8*z**x + 0*z + 10*z**2 wrt z.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*l + 8*l - 2*l.\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -217*u - 8. Let o(n) = 435*n + 21. Give -2*o(x) - 5*t(x).\nAnswer: 215*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*v**2 - 5*v + v**2 + 9*v + v**2 - 5 as q*v**2 + b*v + l and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -40 - -64. What is the remainder when 34 is divided by n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -6. Let v be (-8)\/k + 0 + 0. What is the first derivative of -6 + 3 + 4 - v*m wrt m?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - g. Sort g, 1, -3 in decreasing order.\nAnswer: 1, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/9808613 (b) 3 (c) 1 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 2 = -y, -2*y + 12 = -n + 3*n. Solve -v = -0*v - 2*d + 7, 0 = y*v + 5*d - 10 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/8)\/((-5)\/(-20)). Suppose -t = 3*z + f, 2*t + 3*z + 0 - 1 = 0. Suppose 2*c + 10 = t*o - o, 0 = -4*c - 20. Solve o = 3*d - 1 + 7 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -27.3904 to the nearest integer.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -150069*m**2. Let x(i) = -5*i**2. Give x(u(z)).\nAnswer: -112603523805*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -0.68531871\nAnswer: -1.31468129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 + 55*j + 990. Let s be n(-14). Solve 0 = 2*r, -27*r + s*r = -2*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbb. What is prob of sequence bbb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 967506?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 817 - 822. Let m be 0*-8*f\/40. Determine g so that m + g + 1\/3*g**4 + 7\/3*g**2 + 5\/3*g**3 = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1555850017 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 71473828117 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -4*x**2 + 1 + 9*x**2 - 6*x - 6. Let q = 1828 + -1782. Calculate the remainder when o(5) is divided by q.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5755 + 3365*z**2 + 5755.\nAnswer: 3365*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 + 10*q - 5. Let v be o(9). Let x be (-5)\/(-3) - (-4)\/12. Suppose -3*r + x*r = -2. Solve r + v = -2*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 n when two letters picked without replacement from dlpdnnllnlhssh?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7323, 7638, 7963, 8304, 8667, 9058, 9483, 9948?\nAnswer: 10459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of 0*x + 1\/9*x**3 + 1\/9*x**4 + 1\/30*x**5 + 0 + 4*x**2. Suppose i(g) = 0. Calculate g.\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2154 divided by 3?\nAnswer: -718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 2 r, and 1 g when four letters picked without replacement from gyrqyrqgyyg.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 12*r. Let l(u) = -22*u. Determine f(l(g)).\nAnswer: -264*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4b - 3067413?\nAnswer: -3067384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39521 = -21*g + 2*g + 2927. Which is smaller: g or -1925?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eevveveeeveeveewvve. Give prob of picking 1 v and 1 e.\nAnswer: 77\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -115044 (base 6) to base 4\nAnswer: -2133010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 385868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 97739 to the nearest integer?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 5:40 AM?\nAnswer: 2:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8.44 + 4.29. Let z = f - 31.35. What is z rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 5*u. Let x(m) = 2*m. Let p(k) = -4*v(k) + 11*x(k). Let y(f) = 5*f**2 - 2. What is p(y(l))?\nAnswer: 10*l**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.07 - 3.93. Let o = -41 - -40. Let j = o - -6. Which is the closest to -1? (a) j (b) -9 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 0, -20, -52, -102, -176, -280, -420, -602?\n\"Answer: -y**3 - 13*y + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p - 1. Suppose -332*u = 958 + 1698. Determine q(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(3\/7)\/y*y*y**(-15)\/y*y assuming y is positive.\nAnswer: y**(-102\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 15) to base 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3020 and 3253144?\nAnswer: 16265720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 5*q = 0. Suppose -174 = -2*h - f + 3*f, h + 2*f - 81 = q. What is the remainder when h is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 67*s - 2068. Calculate the least common multiple of 36 and n(34).\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + 244?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1a + 12?\nAnswer: 2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4623 - -5234?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1816\/12712*(1 - -139).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 20*h - 22. Let l be d(19). Let j = -180 + l. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -262 (b) -3 (c) 2 (d) -80\/11 (e) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78) + sqrt(78) + sqrt(78) + 2*sqrt(78)*2)\/(sqrt(48)\/(sqrt(72)\/sqrt(9))).\nAnswer: 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m. Let o(z) be the second derivative of 0 - 20*z - 15\/4*z**4 + 0*z**3 + 0*z**2. Give o(g(s)).\nAnswer: -180*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 408\/(-72) + 10\/6 + -22. Let l be (f\/(-78))\/(2\/3216). Calculate the greatest common factor of 8 and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2801561 is divided by 933843.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together -18334211331.1 and -4.\nAnswer: -18334211335.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 3805*m**2 + 7620*m + 49. Give a(-2).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 82*z + 85*z - 3*z**2 + 4*z**2)*(-z + 2*z + 2*z) to m*z**3 + i*z + v*z**2 + l and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 403? (a) 2 (b) 2433 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 329 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.0059992343 - -3.006. What is t rounded to seven dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 58\/25 and -113\/50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3024 is divided by 21?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 57084231 to the nearest integer?\nAnswer: 385","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-68)\/8)\/(83\/(-520078))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -310 + 3?\nAnswer: -301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-18)*((-56)\/(-16))\/(14*1).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125212.\nAnswer: 2, 23, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 5.775376 millimeters?\nAnswer: 5775376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2198 = -12*l + 119*l + 77*l + 6798 for l.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/7, 3, -112, -18, -1?\nAnswer: -112","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 - 8 + 4*c)*(3 + 0 - 1)*(-53*c + 78*c + 45*c) in the form p + j*c**2 + h*c and give j.\nAnswer: 560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1946984 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1267863671 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 0*c + 3*q + 726, 3*q = -6. Suppose 5*m + 3*k - 11 = 95, m = -2*k + 24. Suppose 5*u - m = c. What is the highest common divisor of u and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -7208, -3, -4, -8 in descending order.\nAnswer: 2, -3, -4, -8, -7208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -17d9 (base 16) in base 11?\nAnswer: -4650","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 111436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(((-3)\/2)\/(-3)*-23).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 48*g + 99. Let s be f(-2). Let l(u) be the first derivative of -6 - u - 3\/4*u**4 + 0*u**s + 0*u**2. Differentiate l(c) with respect to c.\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6392413 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 -104*l = -87*l - 3179. Is 5 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/7304 and 91\/22.\nAnswer: 7304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (118 - 129) + 78 + -56?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 86.75 - 86.7. What is the closest to -1\/3 in w, 12, 2\/9?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/30*(-15)\/42\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -14641 and -2.9.\nAnswer: 42458.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}