diff --git "a/data/dm_maths/full_data_2/148_11255.jsonl" "b/data/dm_maths/full_data_2/148_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/148_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let c(r) = 2*r**2 + 48*r + 49. Give c(-23).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of -19*h**5\/60 - 9*h**2. Let u(r) = -r. Calculate p(u(l)).\nAnswer: -19*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 + 1371*d - 34908. What is r(25)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 11 = 7. Let v(j) = 13*j**2 + 23*j + 101. Let g(x) = 7*x**2 + 13*x + 56. Let o(p) = 11*g(p) - 6*v(p). Give o(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 8) in base 2?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 616?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 88156.35 months in centuries?\nAnswer: 73.463625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 - 8*d + 6. Let b be p(6). Let h be ((-9)\/b)\/((-9)\/12). Let f be h*-6*(-3)\/(-4). What is the highest common divisor of 81 and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 + 31*c - 140. What is b(-34)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-10)*k**(-4) assuming k is positive.\nAnswer: k**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 3 - 0) + -2 + 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jxjxjxxjjjjxjxjjjj. Give prob of picking 3 j and 1 x.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 24*a**2 + 14*a + 1. Let v(n) = 23*n**2 + 16*n. Let h(r) = 4*d(r) - 3*v(r). Find the second derivative of h(y) wrt y.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 - 6*s + 7. Let w(l) = 9*l**2 - 4*l + 6 - 10*l**2 - l. Let v(p) = -p**2 + p + 1. Let b be v(3). Let f(d) = b*h(d) + 6*w(d). Determine f(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 191 + -11. 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 nearest to 0 in -54050, -0.3, 2\/39?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -5*x**2 - 16*x - 6. Let n be i(-3). Sort 4, -1, n, 3.\nAnswer: n, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 11:51 PM?\nAnswer: 4:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67452 (base 15) to base 14.\nAnswer: 8793a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 9 = -3*u - 5*n, 2*u - 9 = n. What is the third derivative of -2*q + u*q**4 - 11*q**4 - 5*q + q**2 + 24*q**4 wrt q?\nAnswer: 384*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmexxxmm. What is prob of sequence ex?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/(-5))\/(22\/(-55)). Suppose 1 = g - b. Let r(a) = g*a - 1 - 3*a + 9*a. Calculate r(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.226 - 0.074. Let p = s - -24.3. Let z = p + -25. Put 1\/2, z, 5 in ascending order.\nAnswer: z, 1\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/35, -2\/53, -1.38, 1\/9?\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -254 + 256. Solve -r*n + n = 4*c + 2, -5*c = n + 3 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/(r\/r**0)))\/(r*r\/r**15) assuming r is positive.\nAnswer: r**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -7004613 (base 9) to base 13\nAnswer: -a04a72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1780 + -1263. Let f = -474.8 + y. Let w = -42 + f. What is the closest to 0.5 in w, 2\/19, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/2*3\/(9\/(-6))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a day in hours?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 59 - 2?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -501 + 652. Let t = d - 752\/5. Factor 4\/5*z**3 - t*z + 0*z**4 - 1\/5*z**5 + 2\/5 - 2\/5*z**2.\nAnswer: -(z - 1)**3*(z + 1)*(z + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*t - t - 5*t + (0*t + 2*t + 0*t)*(-4 + 1 + 5) + 3*t - t + 0*t - 1 - 54*t + 1 + (2*t + t + 2*t)*(3 - 4 + 3) to the form r*t + u and give r.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-884)\/(-24) + (-2)\/3. Let j = -36 + m. Suppose -5*p + z - 12 = 2, 4*z - 14 = -p. What is the smallest value in -1, p, j?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 223 - 221. Solve 3*c + 19 = -5*s, c - s = g*c + 5 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20 - (14 + (-17 - 10))) + (41 - 1)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((6*(-22)\/(-231))\/((-22)\/(-21)))\/(-1)\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 48*k + 1966. Give c(-41).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of 0*t + 3\/2*t**2 + 1\/180*t**5 - 1 - 1\/36*t**4 + 0*t**3. Let m(r) be the second derivative of g(r). Factor m(s).\nAnswer: s*(s - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 306171915 and 105?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20 - 20 + 85*l**2 - 93*l**2 - 7*l to o*l**2 + g + a*l and give o.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 z when three letters picked without replacement from eeezeemeeeezezeee?\nAnswer: 39\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, t: 6, s: 1, i: 2, c: 4}. Give prob of sequence iccp.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 198 a factor of 4877136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -48 + 49. Let g(m) = -m**4 + m**3 - m**2 + 1. Let n(c) = -27*c**4 - c**3 + c**2 + 30. Let s(j) = q*g(j) + n(j). Differentiate s(x) with respect to x.\nAnswer: -112*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -79665 + 963595\/12. Let l = g + -635. Which is greater: l or -8?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -3.9. Let j = -1.4 - d. Sort 1\/7, j, 4 in increasing order.\nAnswer: j, 1\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 234 - 3743\/16. Let b = -91.25 + 1.25. Let l = b - -85. Sort l, 0.3, u in decreasing order.\nAnswer: 0.3, u, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - -11210120130131?\nAnswer: 11210120130120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -9*i**2 - 48*i - 4. Let n(x) = -x**2 - x - 1. Calculate b(g) - 4*n(g).\nAnswer: -5*g**2 - 44*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -27*x - 24. Let h be r(-2). List the prime factors of h\/60*(2 + 3432\/1).\nAnswer: 17, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -72447095*v**3*w**2 + 1237*v**3*w - 14559*v**3 wrt w?\nAnswer: -144894190*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 635*-0.4.\nAnswer: -254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.603 plus 0.039?\nAnswer: -0.564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.3 and 8488098374.713.\nAnswer: 8488098375.013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 501545 to the power of 1\/3, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (12 + 0)\/((280\/(-30))\/(-14)). Suppose 6*u = 3754 - 838. Calculate the highest common divisor of p and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/5*-5*-3)\/((2190\/4)\/(-73))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3381, -1529, 309, 2133, 3943?\n\"Answer: -7*o**2 + 1873*o - 5247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -137408 - 914.4.\nAnswer: -138322.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 3*i**2 + 6*i + 6. Let u(x) = 30*x + 1133. Let w be u(-38). Let z(p) = 4*p**2 + 7*p + 7. Determine w*b(a) + 6*z(a).\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/(2\/(-2)))\/1. Let b = 4\/2761 + 1612388\/24849. Let u = b - 194\/3. What is the fourth smallest value in 5, -1\/3, w, u?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3121012 (base 4) to base 7\nAnswer: -55336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 18954757 or 18954759?\nAnswer: 18954759","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u + 0*u - 6*u)*(u**4 + 3 - 3) - u**5 - 4*u**2 - 118 + 118.\nAnswer: -3*u**5 - 4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 - 18*p**2 - 35*p - 100. Calculate w(20).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 76\/7 (c) 4 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 594 divide 54654850?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -203121011 (base 6) to base 11\nAnswer: -1a87a5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 6:54 PM?\nAnswer: 12:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 2) to base 14.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5\/2 - 9\/4. Let w = -18.5 - -18. What is the smallest value in -2\/7, w, g?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 732 = -31*g - 30*g for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*f = -773*v + 774*v + 769, 4*v = -f - 67 for f.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**18\/p)\/p**(2\/35) assuming p is positive.\nAnswer: p**(593\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113*z**2 + 24*z**2 + 4 - 4.\nAnswer: -89*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -124777*p**4 - 4*p**2 + 2780 wrt p.\nAnswer: -2994648*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 - 2*n - 7. Let r(d) = 2*d**2 - 5*d - 13. Let z(t) = -7*a(t) + 3*r(t). Calculate the least common multiple of z(0) and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 266 and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 534*l**2. Let x(q) = 3211*q. Calculate i(x(n)).\nAnswer: 5505818214*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1.69*-2\nAnswer: 3.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33, 21, -13, -81, -195?\nAnswer: -367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 271 - -270. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4798 is divided by 581.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1388226*g - 3*g**2 - 6 - 1387929*g + 6 to the form w*g**2 + n*g + o and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 184583431 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -703 + 560 = -10*x - 3*x for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y**4\/5 - 8958*y**3\/5 + 17952*y**2\/5 + 71712*y\/5 = 0. Calculate y.\nAnswer: -2988, -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 0 + 57*l**2 - 61*l**2 as x*l + m*l**2 + f and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 420.222 + -420. Let c = -0.292 + t. Let u = 268\/91 - 42\/13. What is the second biggest value in u, 0.2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -264281 - -264281.0820095. Let s = 0.082 - y. Round s to 6 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/2, 3, -9, 30?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-11\/3))\/(g*g**15\/g*g) assuming g is positive.\nAnswer: g**(-56\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/4)\/(l\/(l*l\/(l*l**2\/l)))*(l*l\/l**4)\/(l**(2\/7)\/l))\/((l**1*l)**(3\/7))**(1\/64) assuming l is positive.\nAnswer: l**(-459\/224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 17 = -k - 2*i, 0 = i. Let x be (2 + k)\/3*-1. Suppose 0 = -f - 5*n + 777, 4*f - x*n = -2147 + 5355. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-14\/9)\/(w\/((w*w*w\/w**(-3\/10)*w*w)\/w)))**(-1\/7) assuming w is positive.\nAnswer: w**(-157\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 3*w**2 - w. Let i be y(-1). Let a = 11 + -2. Suppose -a - 11 = 4*v. Put v, 5, i in descending order.\nAnswer: 5, i, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t**3 - 33*t**2 + 14*t + 32. Let u be j(16). Which is the closest to -0.1? (a) 43 (b) u (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8)*-6*5*6 - (sqrt(12)\/(sqrt(150)*-1) + 5).\nAnswer: -1799*sqrt(2)\/5 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 103365 rounded to the nearest one thousand?\nAnswer: 103000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.02, -0.08, 340, -102.\nAnswer: -102, -0.08, 0.02, 340","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 72.8 to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v**2 - 6*v - 1. Let g be 28\/(-24) + 4\/24 + 12. Let j(m) = 6*m**2 + 17*m + 3. Give g*o(n) + 4*j(n).\nAnswer: 2*n**2 + 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28*54\/672 + (-466)\/(-200).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -1\/1098?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z = -z - 220. List the prime factors of ((-112)\/32)\/((-2)\/z).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.09 - 2.91. What is the smallest value in -0.1, 0.1, 0.02, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0488 + -0.4512. Which is the nearest to 2? (a) -4 (b) y (c) -1 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, t: 7, g: 1, m: 6, n: 2}. Give prob of sequence nmn.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 2241 = 5*k - 2*g, -3*g = -15. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -12033*v. Let i(r) = -3*r**2. What is y(i(f))?\nAnswer: 36099*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tzkqpxzq. Give prob of sequence xkt.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 35491 = o, -174*c = -183*c + o + 159713. List the prime factors of c.\nAnswer: 2, 19, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 40\/(-32) - 18\/(-8) - 3. Let g(j) = 337*j**2 - j + 8. What is the thousands digit of g(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(3\/(-6) - 1). Suppose -28 = x*a - 3*a. What is the common denominator of ((-62)\/a - -3) + 1 and -79\/18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101010011221 (base 3) to base 7.\nAnswer: -1456420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, f: 6}. Give prob of picking 1 h and 1 f.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -15364*h**2 - 5441*h + 232. Let c(r) = 3073*r**2 + 1088*r - 42. Let d(n) = 11*c(n) + 2*g(n). Find the second derivative of d(k) wrt k.\nAnswer: 6150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = 2*m - 126. Suppose m = 4*f + l, -l - 16 = -3*f + 16. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 44*l**2 - 4*l - 14. Is 13 a factor of o(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32600784 and 1536.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 146706*q + 3 + 119142*q.\nAnswer: 265848*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1025*t = -3*l + 1017*t + 31, 2*t + 6 = 2*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12413009?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 57595607 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -81999303 divided by -379\nAnswer: 216357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2*d - d**3 + 2*d - 2*d - 1 + 6*d**2. Let w be y(4). Let r = w + -4. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1258.3 + -1258.7. What is the biggest value in -1\/9, 0.0418, h, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 4) in base 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12 - 12113?\nAnswer: -12125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.2 times -1?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**3 - 342*m**2 - 7707*m + 16758.\nAnswer: 3*(m - 133)*(m - 2)*(m + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18873, 18886, 18885, 18864, 18817, 18738, 18621?\nAnswer: 18460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18 - (26 - 34)) + 17?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -110010010000101 (base 2) to base 13\nAnswer: -b936","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 219346 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/60 of a day in minutes?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -390307 + 390249. Suppose y + 2*y = 0. Which is smaller: h or y?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38321 (base 9) in base 2?\nAnswer: -110010010110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 539944\/3 (b) 1\/11 (c) -1\/2 (d) -2\/7 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*m**2 - 10*m**2 - 9*m**2.\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6251646\/46241 + -120\/3557. Which is bigger: -136 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of 299*j**9\/252 - 479*j**5\/20 + j**4\/12 - 5*j**2 - 49*j. What is the third derivative of k(s) wrt s?\nAnswer: 71760*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*w**4 - 6*w**4 - 2*w**4 + (6*w**2 - 6*w**2 - 9*w**3)*(7*w - 3*w + 0*w) to the form l*w**4 + g*w**2 + t + f*w**3 + d*w and give l.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1867*m + 2862*m + 2039*m.\nAnswer: 3034*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1567 or 1568?\nAnswer: 1567","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -88 - ((-6)\/3 - -1). Is j != -84?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/27 - 136\/(-36). Let t(c) = 0*c**3 - 1 + 0*c**3 + c**2 + c**3. Let u be t(-1). Put -0.1, u, q in increasing order.\nAnswer: u, -0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 359475441 to the nearest integer?\nAnswer: 18960","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/4)\/(((-27)\/(-5))\/((-414)\/3450)).\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 17 + 7 = t, -2*w + 4*t = -4. Let b = w - -11. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*m + m = 12 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-15 + 20 + 9)*(6*f**3 + 9*f**3 - 4*f**3) to the form m*f**3 + l*f + b*f**2 + q and give m.\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/318*(-20 + (-498)\/(-24)).\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of -1\/6*g**3 + 1\/2*g**2 + 0 + 25*g. Let z(i) = i**2 + 1. Give o(r) - 2*z(r).\nAnswer: -2*r**2 - r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/4)\/q)**(-2\/41)*q**5*q**(1\/4)*q*q)**(-15) assuming q is positive.\nAnswer: q**(-17925\/164)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -6*r**2 - 17*r + 9. Let a(n) = -2*n**2 + n - 6*n - n + 3. Let y(j) = 17*a(j) - 6*x(j). Differentiate y(f) with respect to f.\nAnswer: 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qffzffzz. Give prob of sequence qfq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 28.07491 hours?\nAnswer: 101069676000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 5:25 PM?\nAnswer: 3:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.6 + 3.9. Let t = h + 0.7. Which is bigger: 0.08 or t?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 763 and 19735213.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -15. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -11282670, -11282671, -11282672, -11282673?\n\"Answer: -x - 11282669","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 100611 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 3 + 5 = 0, 4*u = -4*v + 8. Let d(f) = f**3 + 6*f**2. Let w be d(-6). Solve w*y - v*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q + 330 + 0*q + 268 - 158 + 6*q. Let l be w(26). What is the greatest common factor of 64 and l?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 PM and 7:55 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 305441?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7671 + -14037?\nAnswer: -21708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10111111 - 100?\nAnswer: 10111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2144 + 0.3144. What is the third biggest value in -5, j, 19\/2, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven quarters of a litre in millilitres?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of 1\/180*h**6 + 0*h + 0 + 1\/45*h**5 + h**2 + 0*h**3 + 1\/36*h**4. Find a such that s(a) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 231701 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 0 + 1 - 1 - 2 + (-1 + 3 + 0)*(3 - 3 + 1) + 4 + 2 - 4)*(-2*k**2 + 3*k**4 + 2*k**2).\nAnswer: -6*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of -w**8\/1848 + w**7\/462 - w**6\/330 + w**5\/660 + 15*w**2. Factor r(q).\nAnswer: -q**2*(q - 1)**2*(2*q - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 7 = -4*f + 3, 4*v = -5*f - 1. Suppose -3*j = -0*j - f. What is the third smallest value in 0.4, -0.4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 666*g*o**2 + 872*g*o + 3*o**4 + 3*o**2 + 413*o wrt o?\nAnswer: 1332*g + 36*o**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**14)**11 assuming x is positive.\nAnswer: x**154","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, 30, 47, 70, 99, 134, 175?\nAnswer: 222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 4 - 6 = -5*h, 0 = -4*h - 4*a - 4. Calculate the least common multiple of 3 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 times 15.783\nAnswer: 173.613","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -5*u - 179. Let a(h) = 14*h + 717. Calculate 4*a(o) + 15*b(o).\nAnswer: -19*o + 183","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -174 + 278. Let k be (-4)\/(-2)*(14 - 1). Calculate the greatest common divisor of w and k.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -1510 (b) 4\/3 (c) 5 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a**2 + 26732*a - 3. What is t(0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 72 and 225.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/81)\/(55\/(-825))?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 + 11*a + 4. Suppose -c + 0*c + 23 = -5*h, -4*c = 4*h + 28. Let q = 13 + c. Let n be r(q). Solve 3 = -n*o + o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/24 and 27\/906340?\nAnswer: 5438040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 5. Suppose -p - 50 = -n*p. Suppose 0*i - 2*i + k = -51, 5*k - p = 0. Solve 0 = 4*m - 5*y - 0 + i, y = -3*m - 2 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - (-10 + 4)) + (10 - 3) + 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -272 greater than -331?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 + 0 + (8 - 9) + 7 + -13?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 - i. Let b(k) = -k**3 - 10*k**2 - 9*k + 2. Give 2*b(r) - 18*p(r).\nAnswer: -2*r**3 - 2*r**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = n + l - 6*l, 5*l = -4*n + 47. Calculate the remainder when n is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 287802 and 650671?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 0*c**3 + 5*c**2 + 0*c**3 - c**3 - 2*c - 2. Let v be u(2). Solve 4*q - v*q = 2*l, -4*q = -16 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(6\/7)*u)**13\/(u**(6\/17)*u)**(4\/11) assuming u is positive.\nAnswer: u**(30959\/1309)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -j + 14, -j + 1 = -4*g - 23. Let -9\/2*k**j + 7*k**2 + 15\/2*k**3 - 4 - 6*k = 0. What is k?\nAnswer: -2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 4*r + 22 = 0, -r = i + 6 - 5 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 5*a = 0, 0 = 2*q - 3*a + 7*a - 26. Let g(p) = -9601*p**2 + 6*p - 5. Let c be g(q). Round c to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 - 11*o - 62. Let j be s(-14). Let h = j - -518\/5. Which is the biggest value? (a) 39 (b) -5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 9*j**2 + 5*j - 7. Let t(b) be the first derivative of b**2 + 3 + 4\/3*b**3 - 3*b. Give 3*s(m) - 7*t(m).\nAnswer: -m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120 = 24*m - 72 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35573.\nAnswer: 35573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 c when two letters picked without replacement from {c: 4, e: 2, t: 8, k: 3}.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*i = 403*i + 2730 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 2 = 0, -1183 = -q + 3*r - 86. Calculate the remainder when q is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -18 (b) -5 (c) 3 (d) -358 (e) -0.5 (f) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 5*m**2. Let t(d) = -d. Determine u(t(a)).\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-16 + 0*q - 9*q - 18*q + 44*q)*(1 - 1 - 2)*(-38*q - 26*q + 18*q) to i*q**2 + f + v*q and give i.\nAnswer: 1564","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9a513b (base 12) to base 9.\nAnswer: 4552502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q - 4. Let n be i(-6). Let f be n\/((2\/2)\/1). Suppose -2*o - 24 = 4*z, 0 = 3*o + 4*z - 13 + 41. Sort f, o, 5.\nAnswer: f, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k = -18*k - 60 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -30*f**2 + 3*f + 4. Let v be w(-3). Let h(o) = 10*o**2 + 109*o - 26. Let r be h(-18). Let p = r + v. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90914 is divided by 344?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -52424628.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/14875454 and -127\/154?\nAnswer: 104128178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**26*y**(5\/2)\/y*y\/(y*y**(7\/8))*y**(-1\/5)*y)**(6\/17) assuming y is positive.\nAnswer: y**(3291\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 65 - 61. What is the nearest to 0 in -1, -1\/9, r?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 137*z**3 + 7*z**3 - 2132 - 2*z + 115*z**3 + 2132.\nAnswer: 259*z**3 - 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 + q + 3. Let a be m(0). Suppose a*p - 80 = 19. Let v be (9525\/2)\/(p\/(-880)). Round v to the nearest ten thousand.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 58 = -5*t, -3*t + 1131 - 1191 = 6*b for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r**3 + 8325 + 2*r**3 - 3*r + 1130.\nAnswer: -2*r**3 - 3*r + 9455","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 6, q: 4, x: 4, l: 2, t: 3, s: 1}. Give prob of picking 2 l and 1 q.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of -49*s**5\/5 - s**2 - 387*s + 23. What is the first derivative of c(q) wrt q?\nAnswer: -196*q**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -9. Suppose -k - 9 = 8*k. Put k, f, 2 in decreasing order.\nAnswer: f, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2499 and 2754.\nAnswer: 134946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 706*b + 1179. Let k be p(-1). Solve 0 = k*l - 459*l + 42 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -480*b - 58. Let z be m(3). What is the tens digit of ((-35)\/21)\/(-2 - z\/750)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 0*g**2 - 225\/4*g**3 + 0 + 35\/2*g**4 + 0*g - 5\/4*g**5 = 0.\nAnswer: 0, 5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 34547 + 1217?\nAnswer: 35766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 65*u**3 - 40*u + 2*u**2 + 40*u. Let g be z(1). Suppose g = o + 4*x, -x = 4*o + 3*x - 220. Does 21 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -943*s**2. Let c(i) = 27*i**2 - 24*i - 324. Let y(k) = -16*k**2 + 14*k + 189. Let v(h) = 7*c(h) + 12*y(h). Determine w(v(d)).\nAnswer: -8487*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/35, -4, 9, 1 in descending order.\nAnswer: 9, 1, -2\/35, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -664, -969, -1490, -2239, -3228, -4469, -5974, -7755?\n\"Answer: -2*j**3 - 96*j**2 - 3*j - 563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1391, 2783, 4173, 5561, 6947?\n\"Answer: -x**2 + 1395*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*r**2 + 139*r**2 - 108*r**2.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 4801492 to the nearest ten thousand.\nAnswer: 4800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 87 and 36366.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 526900 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 hundred thousands digit of 207870?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -4 (b) -19 (c) 2 (d) -67 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 3*x = -8231 + 1242, 0 = -4*k + 5*x + 5586. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16047 - 15975. Calculate the remainder when 494 is divided by d.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 192340662*u**3 + 3*u**2 - 468*u + 6436 wrt u.\nAnswer: 1154043972","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92*f + 35*f + 1050042 = 4711706. List the prime factors of f.\nAnswer: 2, 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4\/7 - -19\/28. Let q = 31085\/7 + -4441. Suppose 0 = 4*n + 21 + 7. Put -0.1, y, n, q in descending order.\nAnswer: y, -0.1, q, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*d + 5801 = 97. Is 120 < d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -59 (b) 7\/6 (c) 1 (d) -2 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/(-12))\/(98\/16 - 7). Is -9 bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 680*h - 541 - 2719*h - 1168 - 1011 wrt h?\nAnswer: -2039","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o = -2*o. Suppose o = 6*k - 23 - 13. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 - 8*q - 7. Determine w(-13).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-72)\/(-56) + -2*1\/7. What are the prime factors of 0\/c + -1 - -49?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f = -2341 + 13030. What is the hundreds digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -76.3 and -694242.\nAnswer: 52970664.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of a**4\/4 + a**2\/2 - 1198. Let y(r) = 4*r**3 - 2*r**2 - r - 2. Determine -6*s(t) + y(t).\nAnswer: -2*t**3 - 2*t**2 - 7*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v + 1. Let w be m(-1). Suppose -z + 0*z - 1 = 0, -w*r - z = 1. Solve r = -5*g + 2*c - 3, c - 2 = -0*g + 3*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of z**5\/12 - 15*z**2. Let q(u) be the first derivative of 3*u**3 + 251. Determine q(x(v)).\nAnswer: 225*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 45 = 8*g. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001095975 rounded to five decimal places?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, -145, -1, -101, 8 in decreasing order.\nAnswer: 8, 4, 1, -1, -101, -145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 480820 and 4351421?\nAnswer: 87028420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1330*a**2 - 1331*a**2 + 26*a - 151*a)*(-1 - 3 + 3)*(-2*a - a - a)*(0 + 2*a**2 + 0).\nAnswer: -8*a**5 - 1000*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 - 36*q + 2467. Calculate u(-71).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 19*m + 3*m + m**2 - 34*m - 6. What is n(10)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -44996 - -44991. What is the closest to -0.2 in y, 3\/5, -0.155, -1\/3?\nAnswer: -0.155","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66) + ((sqrt(66)*-1 - sqrt(66)) + sqrt(66))*-2)\/((sqrt(54) - sqrt(6))*1).\nAnswer: 3*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + (-12)\/(0 + -2). Suppose -d*g + 0*v - 2*v - 18 = 0, -5*v - 30 = 5*g. Let n be g*(15\/12)\/(-5). Is n >= 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, -0.7, 5, 99\/10, 3?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 28591, 28883, 29175, 29467?\n\"Answer: 292*b + 28299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 9*y + 30, 5*k - 8 + 3 = 5*y. Sort 3, 25, k in ascending order.\nAnswer: k, 3, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 20\/(-6)*9\/(-6). Let b(m) = -4*m**3 + 9*m**2 - 7*m + 6. Let s(n) = 3*n**3 - 8*n**2 + 6*n - 6. Let z(f) = 2*b(f) + 3*s(f). What is z(u)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) 12\/17 (c) -34 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 3 - 4)*(1 + 2 - 2)*(88*h - 16*h + 224*h + 300*h) as m + x*h and give x.\nAnswer: -1192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (812 - 354*r - 1620 + 807)*(r**2 + 7 - 7 + 3*r).\nAnswer: -354*r**3 - 1063*r**2 - 3*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 3*d. Suppose -2*f + 4 = g + 9, 10 = -3*g - 5*f. Let n be r(g). Suppose 6*q = q + n. Solve a - 6 = q*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of 2467*d**5\/20 + 1379*d**2\/2 + 473*d - 1. Find the first derivative of p(f) wrt f.\nAnswer: 7401*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/1364265 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -97*g - 677. Calculate h(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 6*y. Let r(z) = -z. Let j(s) = 4*r(s) + x(s). Let l(f) = 274*f + 2. Determine j(l(w)).\nAnswer: 548*w + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of 1270*m**2 - 2695*m + 2484. Find the first derivative of b(t) wrt t.\nAnswer: 2540","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 511 or 5903?\nAnswer: 511","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of -f**6\/120 + f**5\/15 + 5*f**3\/6 - 203*f**2. Suppose -v = -4*v - 27. Let o = 13 + v. Calculate q(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -2*m + 4*r - 20, 0 = -r + 4. Let v(h) = -h**2 - 6*h - 4. Let l be v(m). Suppose 4*s + x = 9, -1 = -2*x + 1. Sort 0, l, s.\nAnswer: l, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-250)\/525*18\/15.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/(t\/(t**(-5)*t))))\/t*t\/t**(-5))\/((t\/(t*(t\/(t*t*t*t\/(t\/((t*(t*t**(-1\/6))\/t)\/t*t))))\/t))\/t**4) assuming t is positive.\nAnswer: t**(61\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1378 = 2*o - 15*o. Let r(p) = 211 - o + p - 105. Let f(m) = -20*m. Give r(f(l)).\nAnswer: -20*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*v**2 + 6*v**2 + 4*v**2.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 140 + 5. Suppose 4*g + 28 = -2*f, g = -f - 3*g - 18. Let t = f + s. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2703.\nAnswer: 3, 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 76*a**2 - 8*a. Let d(z) = -51*z**2 + 6*z. Calculate -7*d(c) - 5*n(c).\nAnswer: -23*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -984*n**3 + 7*n**2 + 33008.\nAnswer: -2952*n**2 + 14*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 AM and 5:48 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -555623 (base 11) to base 12.\nAnswer: -3687a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 425, 4, 1\/3, -4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -133125 (base 7) to base 5\nAnswer: -1300412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1862739344 divided by 1130303\nAnswer: 1648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/170*80\/(-3456)*-18. Sort -3\/5, -1\/6, r in ascending order.\nAnswer: -3\/5, -1\/6, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -87*g**3 + g. What are the prime factors of w(-1)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 3*f - 4*u = 8, -4*f = -5*u - 36. Let r = 3 - f. Sort r, 0, -2.\nAnswer: -2, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 18.4051521 to three decimal places.\nAnswer: 18.405","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxxx. Give prob of sequence xxx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 6*q + q + 2 = 0, 0 = 2*t + 4*q + 2. Solve i = -t*i - 8 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 296166076 and 236.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of k**4\/6 + 17*k**3\/3 - 11*k**2 - 31*k + 1. Let z be d(-18). Calculate the greatest common divisor of 6 and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of -h**4 - 836*h**3 - 262086*h**2 - 36517316*h - 644. Solve i(m) = 0 for m.\nAnswer: -209","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109 is divided by -26*((-1)\/(-1))\/(-1) + 2.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45819, 45958, 46097, 46236, 46375?\nAnswer: 46514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4781 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -2 + -4*sqrt(684).\nAnswer: -24*sqrt(19) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23265 - -255875. Is 2\/6 + h\/30 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 134.72 - 137. Let q = 1.4 + j. Round q to one dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-16)*1*(-8)\/11.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rubj when four letters picked without replacement from {r: 1, u: 2, b: 1, j: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 - -4. Suppose 4*z - 7 = n. What are the prime factors of (-12)\/8*(-244)\/z?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 635527811 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 2)*(-2*x**4 + x**4 - 3*x**4) - 133*x**4 - 141*x**4 + 11*x**4 + 70*x**4.\nAnswer: -209*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 66766681 to the power of 1\/2, to the nearest integer?\nAnswer: 8171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.18362 and 1377515.\nAnswer: 1377514.81638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from rtttrtttrrrrttrrttrr.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in -4, 12, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (1 - 0) + -7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.32 take away -0.9802?\nAnswer: 3.3002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(-1) + (-5 - -2). Is (-154)\/g - (-2)\/6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3991.714 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 2:07 AM?\nAnswer: 10:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*v**4 - 8714500*v**3 + 61*v - 224054 wrt v.\nAnswer: 72*v**2 - 52287000*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -405625, -811246, -1216867, -1622488, -2028109, -2433730?\nAnswer: -2839351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 131\/21? (a) 2\/211 (b) 28 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**3 - 256*v**2 - 3900*v.\nAnswer: -4*v*(v + 25)*(v + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3409*k**4 - 14870*k**3 - 7755*k**2 + 691*k + 1 wrt k?\nAnswer: -81816*k - 89220","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.4 + -2.399866. What is s rounded to five decimal places?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -112*k**3*l - 226*k**3 + k**2 + 3265*k*l - 4 wrt k.\nAnswer: -672*l - 1356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-2\/5)*c)\/c**(-4))\/(c**1\/(c**(-1\/6)*c)))\/((c**2)**(2\/85)\/(c**(-1\/12)*c**(2\/3))) assuming c is positive.\nAnswer: c**(5069\/1020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 18\/(-8)*(164 + -32). Let v = 205 + m. Is v greater than or equal to -93?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -104 - -418. Let u = d + -313. What is the closest to u in -1\/8, 38, -0.5?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-27 - (-4 - (-2 + 5))) + 45 + 120\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.62805um to centimeters.\nAnswer: 0.000262805","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(-28))\/(1860\/1008*4)?\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6, 4, -42?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w. Let o(d) = 28*d - 5 - 11 + 16. Give o(u(x)).\nAnswer: 28*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 66430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8135 - 7585. What is the smallest common multiple of w and 200?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of -363*o**2\/2 - 363*o - 1019. What is the first derivative of c(y) wrt y?\nAnswer: -363","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111001 - 10101010001101?\nAnswer: -10101011000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1408) + (-2*sqrt(1408) + sqrt(1408))*3 - sqrt(1408))\/(sqrt(968)*1).\nAnswer: -12*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 306 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 229?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 246287 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 242\/(-42) - (15\/20)\/(5355\/(-680))?\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 68418294?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*r**2 + 5*r**4 - 6*r**2)*(45 + 396 + 27) + (4*r - 5 + 5)*(-2*r**3 + 2*r**3 - r**3).\nAnswer: 2336*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + (-4)\/(-3))\/(6\/90)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -164, -330, -496, -662?\n\"Answer: -166*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -672 - -677. What is the second biggest value in l, 1, -1\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 74\/2324469 and -107\/3984804.\nAnswer: 27893628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7926418 to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102084*o + 12204 = -101858*o for o.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-20)\/8 - -4)*2. Factor -61*i**3 - i + 23*i**p + 10*i**2 + 16*i**3 - 6 + 19*i**3.\nAnswer: -(i - 3)*(i - 1)*(3*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010100010110010011010 (base 2) to base 13.\nAnswer: -75a080","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -40*y + 236. What is the units digit of i(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*c**3 - 2*c + 67*c**4 + 25*c**3 - 24*c**4 - 4*c**2 to the form o*c**4 + z*c**3 + f + d*c + p*c**2 and give o.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-4\/3))**20 assuming x is positive.\nAnswer: x**(-80\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 1.7?\nAnswer: 0.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of -1 + 1\/3*q**3 + 0*q - q**2. Find the second derivative of b(u) wrt u.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -262 = -4*k + 5*m - 3*m, 4*k - 4*m = 268. What is the greatest common factor of k and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*c**2 + 12 + 2*c + 2*c - 4*c - 3*c**3 + 61 with respect to c.\nAnswer: -9*c**2 - 10*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from yysyyyyyyys.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -88 + 89. Let h(d) = d**2 + d + 1. Let u(w) = -45*w**2 - 36*w - 36. Give m*u(p) + 36*h(p).\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 - 7*c - 10. Suppose -2*b - 10 = -4. Let s be q(b). Solve 2*l = -5*k - s, l = -l for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 9886, 19765, 29644?\n\"Answer: 9879*s + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -0.8, -780 in descending order.\nAnswer: -0.8, -1, -780","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 432 and 256?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -59, -3\/2, -273, 0.02, -0.05?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1175430 is divided by 621?\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 6.21398 minutes?\nAnswer: 372.8388","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-438)\/(-30) + (-6)\/10. Suppose -t = 4*p + l, 4*t + 4*p = -t - 6. Solve v + 17 = -3*u - 4*v, -7 = u + t*v for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(4\/3 - (-26)\/3). Which is the second smallest value? (a) -3 (b) 2\/5 (c) x (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 1543878.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pt when two letters picked without replacement from pmmty?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -3. Let o = w - -2. Suppose 37 = o*u - 27. Does 17 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 11) to base 3\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(4*(sqrt(108) + -2 + sqrt(108)*-6)*4 + -5)*-1*-1)**2.\nAnswer: 568320*sqrt(3) + 11081104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 - 18*t**2 - 19*t - 33. Let x be w(-17). Let d(l) be the second derivative of 1\/2*l**2 + 0*l**3 + 5*l + 0 - 1\/4*l**4. What is d(x)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.84818629 rounded to two decimal places?\nAnswer: 7.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 2*j + 189, 3*v = -4*j + 107 - 4. Let c = -33 + v. Solve 0*t + c = 4*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h**2 - 16*h - 10*h**3 - h**2 + 3*h - 3*h**2 + 12*h**3.\nAnswer: 2*h**3 - 7*h**2 - 13*h","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Solve 351*v = -8970 - 7878 for v.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, a: 2, n: 6, l: 4, i: 3, o: 1}. Give prob of picking 1 o, 2 a, and 1 i.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*c + 2*c + 5*c)*(2*c**2 - 23 - 4*c + 43 - 25).\nAnswer: 32*c**3 - 64*c**2 - 80*c","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -12*r + 36. Calculate t(1).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 4*k - 14. Let y = -17 + 21. Let s be z(y). Is 8 a factor of s\/(-2)*(-30 - 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -5*v + 7125, -21*y + 28626 = -17*y - v. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 192.4 + -2.4. Let r = -113 + w. Let k = 76.9999931 - r. Round k to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/(1155\/(-88)))\/((-3)\/(-15))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/45 + (-3898)\/15. Is 3*(o\/(-3) + 1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*f = -15*f + 18 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 - -13. Suppose -188 = 2*p - a*p. Suppose -3 = 3*y, -x - 2*y + p = -7*y. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + 0 + (143 - 46 - 59).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1, -1, 3\/10, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 4 + 1*2*2*(-1*(-1 + sqrt(2448))**2 + sqrt(2448)).\nAnswer: -9794 + 144*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 10\/9 (b) 466 (c) 4 (d) -2\/3 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 87, 93, 99, 105, 111?\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 30 = 4*a + 7*n, -4*n - 7 = -3*a. Suppose -a*o + 4977 = 837. What is the hundreds digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101 divided by -1?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*v + 2*v - 4*l + 92, -2*l - 4 = 0. Suppose -25 = -c + a + 3*a, -4*c + a = -v. Factor -2*d**2 - 5*d**4 - d**c + 4*d**4 + d + 3*d**4.\nAnswer: -d*(d - 1)**3*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7556944 and 104?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 AM and 12:34 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 58*m**4 + 24*m - 7*m - 70*m**4 wrt m?\nAnswer: -144*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31.5 - 45. Let f = h - -9. Let z = -9.3 - f. Round z to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a hour in minutes?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6025954km to millimeters.\nAnswer: 602595.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -1. Suppose 3*x + 2212 = 161*x. Solve -y*p + 16 = -x*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - g = -6*g - 35, 5*g = -5*j + 85. Suppose -4*n - 2*u = -j, 2*n - 7*n = -u - 25. Suppose 8*f - 3 = n. Is 1\/27 at least as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2 - 12*m.\nAnswer: -m*(m + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -209*o*q**3 + 7*o*q**2 + 2*o*q + 421*q**4 + 26*q**3 - 64*q**2 + 3*q - 5 wrt q?\nAnswer: -1254*o + 10104*q + 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -b3 (base 14) in base 6?\nAnswer: -421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*a - 55*a - 58828 = 0. What is the tens digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + 3 + -4 - (-1 + sqrt(44))**2) + 5 + 0 + sqrt(396) + -1 + 1.\nAnswer: -41 + 11*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 990 is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -138*q - 194. Is b(-20) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12998628?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 207716\/8*3*4*7\/42 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*h + 2351*h - 4187 + 83627 = -1992 for h.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2 + 42844*k - 2951475.\nAnswer: -(k - 42775)*(k - 69)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1012, -8102, -27348, -64828, -126620, -218802?\nAnswer: -347452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.048 (b) 0 (c) 12 (d) -6 (e) 1 (f) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of -o**4\/8 - 3*o**3\/2 - 239*o**2. Give g(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -3*c. Let r(f) = f**2 - 5*f. Let n(q) = -3*r(q) + 5*t(q). Let h(w) = -w**2. What is h(n(v))?\nAnswer: -9*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = -x + 13, 2*x - 9152 = 4*g - 9114 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3273?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27220 and 2?\nAnswer: 27220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -298 <= -298?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*c - 11 = -5*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -74 - 1059*h**2 + 333*h**2 + 720*h**2. Let r(b) = 3*b**2. What is r(j(v))?\nAnswer: 108*v**4 + 2664*v**2 + 16428","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*j)*((3 - 1 - 1)*(-j + 0 + 0) - 8*j + 2 - 2) - 5*j - 2*j**2 + 5*j.\nAnswer: 16*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*f - 281 = -1541. What is the highest common divisor of f and 176?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -965\/2488 + 4\/311. Which is the second smallest value? (a) k (b) 8 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/47581?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 + -9. What is the units digit of (-14)\/(-1 - 0) + l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50 (base 8) to base 16.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g**2 - 2. Let a be q(2). Suppose 14 = 2*c + a. Let k be (-7)\/(-165) - (310\/(-990) - (-14)\/63). Sort 0.5, k, -0.5, c in decreasing order.\nAnswer: c, 0.5, k, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.08764, -22, -0.5, 0.1.\nAnswer: -22, -0.5, -0.08764, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.5 (b) -1.79 (c) -3 (d) -0.6 (e) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1429 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144 = 3*i + 3*u, -3*i - 146 = -0*i + 2*u. Let s = i - -65. Suppose 0*a - 2*a = 3*y - s, 0 = y - 5*a - 22. Is y a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nir when three letters picked without replacement from rrrroniooorrroirdr.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -13, -2, 4, -4, 1 in descending order.\nAnswer: 4, 1, -2, -4, -13, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**2 - 83030*h - 83035.\nAnswer: 5*(h - 16607)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29884*m - 3 + 3 + 1 + 29834*m.\nAnswer: -50*m + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 16 + 3 = 0. Let j(h) = -h**3 + 33. Let i be j(0). Let d = r + i. Calculate the lowest common multiple of d and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0.4 (b) 4 (c) 3 (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(5\/8)*k**33)**(12\/5) assuming k is positive.\nAnswer: k**(807\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 648390 is divided by 323845.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + -43 - (-568 - -408)?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 5*q - 1. Let u(g) = -207*g**2 + 2*g + 2. Calculate the least common multiple of j(3) and u(0).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3814.138 grams in kilograms?\nAnswer: 3.814138","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 1 + 19 = 0. Solve -5*v + a = -u, -11 + 31 = -5*u + 5*v for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43053 is divided by 31.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1\/4, 0.4, 5, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 29 and 23.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -739, -1478, -2217?\n\"Answer: -739*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5 + (216\/15 - 9). Determine w, given that -g*w**4 - 2\/5*w**2 + 0 - 4\/5*w**3 + 0*w = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8.6 + 10. Let l = 1 - j. Let a = -2789 - -5581\/2. Put a, 0, -2, l in decreasing order.\nAnswer: a, 0, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 + 3*r**2 - r - 3. Suppose g + 3*l + 5 = 2, -2*g + l + 8 = 0. Let z be c(g). Let n be 3 + (z - 0) - 0. Let k(t) = t**2 + 5*t - 4. Give k(n).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1108666 is divided by 143.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.8595 and 2.\nAnswer: 3.719","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 11:33 AM?\nAnswer: 7:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*y + 19*y = -4*f + 7, 4*f - 5 = -3*y. Is y less than 10\/417?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = 2*n + q, 2*n - 5*q + 7 = -6. Let v(a) = a**3 + 12*a**2 + a + 5. Let p be v(-12). Let h = p - n. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1540 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 2184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 248610 * -0.01.\nAnswer: -2486.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(165)\/sqrt(3))\/(sqrt(15)\/sqrt(12))*-3.\nAnswer: 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 69082520 and 1560.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*u + 20 = -13*u. Suppose -r - u*r + 51 = 4*t, 3*t = 4*r - 16. What is the remainder when r\/(-35) + (366\/5 - -1) is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or -49\/13?\nAnswer: -49\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 12395027 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 10 = -5*n - 0, 2*n - 5*o + 23 = 0. Let c be ((-1)\/(-3))\/((-2)\/(-6)). Let w be c*(2 - (-7)\/(-3)). Which is smaller: n or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**2 - 455*m + 460.\nAnswer: -5*(m - 1)*(m + 92)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -3*d - 214. Let t(u) = -30*u - 1926. Determine 28*f(x) - 3*t(x).\nAnswer: 6*x - 214","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/7 - (-12672)\/112. Let n = b - 75. What is the tens digit of 269\/3 + n\/(-57)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 AM and 9:26 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122653 = -215*p + 217*p - 3*q, 3*p - 3*q = 183984. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*p**5\/4 - 315*p**4\/4 + 2811*p**3\/4 + 293823*p**2\/4 + 280743*p\/2 - 214452 = 0. Calculate p.\nAnswer: -23, -3, 1, 56, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhluiuiuluuuhyiluiu. What is prob of picking 1 y and 1 u?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 0 + sqrt(21)\/sqrt(7) + 1 + 5.\nAnswer: sqrt(3) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 6499, 5212, 3947, 2710, 1507, 344, -773?\n\"Answer: o**3 + 5*o**2 - 1309*o + 7802","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 + 15*h**2 + 15*h + 16. Let p be d(-14). Solve 4 = -b - p*q, -3*q + 20 = -5*b - 7*q for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*z - 11*z - 3*n - 34 = 0, -2*z - 4 = 2*n. Suppose -2*l - 4 = -18. Let i = -4 + l. Let a(o) = -o + 5. Let t(s) = 2*s - 6. Calculate i*t(x) + z*a(x).\nAnswer: 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4414 or 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 392?\nAnswer: 1960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (c + c + c)*(3 + 3 - 5)*(-5*c + 4*c + 5*c) to u + a*c**2 + p*c and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 + -14*2\/4. Let x = -8 - i. What is n in -1\/5*n**x + 3\/5*n - 2\/5 = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2334300 or 2334275?\nAnswer: 2334275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 4) to base 15\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-0.21519\nAnswer: 0.064557","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of 0*p**5 + 0*p**2 - 13\/6*p**4 + 0 + 1\/2*p**6 + 7*p + 0*p**3. What is the third derivative of z(r) wrt r?\nAnswer: 360*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6573*v + 6592*v = 627. Calculate the remainder when 636 is divided by v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -17 + 18*b - 6*b + 50 + 33. Let d be g(-6). Calculate the remainder when (4\/d)\/((-18)\/702) is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0\/(-1) - 3) + 5. Suppose j*o + 8 = -2*z, 0 = 2*o + z - 3*z. Which is bigger: -1 or o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -455*f - 754. What is the thousands digit of r(-87)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 353 = -113*r + 27*r - 335 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -617 and 1484 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -2\/5, -4, 0.03?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-3))\/(-11*(-5)\/6820*16)?\nAnswer: 31\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 14*i - 3. Let x be k(8). Let h = x - 64. List the prime factors of h.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 177 + -255. Let o = -46 - -294. Let m = o + t. Calculate the greatest common factor of m and 68.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 120\/(-105)*(1 + 36 - 35)\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 64177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1166709064 to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 381 minutes before 3:04 PM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 2:39 AM?\nAnswer: 11:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2334, -369, 4958, 15327, 32418, 57911?\nAnswer: 93486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*(y**(-1\/19)*y)\/y*y)*y*(y**(-24)\/y)\/y)\/((y*y**13\/y*y)\/(y**(-2\/27)*y)) assuming y is positive.\nAnswer: y**(-20018\/513)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - 1. Let c = 102 - 100. Let z be (28\/84)\/(c\/4). What is the biggest value in z, -3, n?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r - 7. Let n(m) = 1. Let y be (-4)\/(-5)*((-975)\/(-10))\/13. Determine y*n(o) + p(o).\nAnswer: 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of -w**5\/60 + 7*w**4\/12 + 17*w**3\/2 - 19*w**2 + 1. Find x such that r(x) = 0.\nAnswer: -3, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s + 37*t = 33*t + 122, t + 4*t = 4*s - 66 for s.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/((-1)\/3)*-1. Let w = i - 8. Let o = w - -10. Solve 3*z - 37 = -5*b, b + 5 = o*z - 2*b for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1745, 3484, 5233, 6998, 8785, 10600, 12449?\nAnswer: 14338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*h - 37 + 22 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6 (b) 0.32 (c) 4 (d) -0.4 (e) -3\/5 (f) 34\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9468, -9468, -9466, -9462, -9456, -9448, -9438?\nAnswer: -9426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*b - 61 = 3*z, -6*b - 74 + 52 = 3*z - 10*b - 21 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**4 + 715*m**3 + 717*m**2 - 715*m - 716.\nAnswer: -(m - 716)*(m - 1)*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j**3 - 10*j**2 - 2*j + 5. Let r be k(-7). Suppose 23*n - r = 18*n. What is the remainder when 127 is divided by n?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*u - 25*u + 22 = 0. Solve -4*j + u = 27 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -160*h**3 - 1128 wrt h?\nAnswer: -480*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s**(-1\/6)*s))\/s)\/((s\/((s**(1\/4)*s)\/s))\/s)*((s*s**0)\/s)\/s**7)\/(s**(-6)*s\/(s*s**(2\/3)*s*s)*s)**(-21) assuming s is positive.\nAnswer: s**(-2023\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -213, -203, -195, -189, -185, -183?\n\"Answer: -w**2 + 13*w - 225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 + 7*c + 7. Determine t(5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/5*p**5 + 0*p**2 + 0*p + 0*p**3 + 0 - 1\/5*p**4.\nAnswer: -p**4*(p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*b - 888*b - 16920 = 0 for b.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 327\/115 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 67 + -66.897. Let u = r - 0.1029889. What is u rounded to 6 dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 63892, 63602, 63312, 63022?\n\"Answer: -290*x + 64182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 12 = -0*k. Suppose -k = -31*b + 29*b. Put -3, 1, 4, b in increasing order.\nAnswer: -3, 1, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 29*2\/4 - (-13825 - -13835). Suppose 33\/4*k + 3\/4*k**3 - 9\/4*k**4 + 63\/4*k**2 - u = 0. Calculate k.\nAnswer: -2, -1, 1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 90 = -b + 3*b, 5*t = 5*b - 255. Suppose 0 = 2*y - 55 + b. Suppose g - 4*o = -14, y*o - 6 = -0*g + 5*g. Solve 3 = -g*d - 5 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00171530035 to 4 decimal places.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 plus 21297.441645?\nAnswer: 21255.441645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, t: 7, b: 2}. What is prob of picking 3 f?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 281021440 to the nearest integer?\nAnswer: 16764","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 251, 419, 587?\n\"Answer: 168*r + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -431?\nAnswer: -1\/431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1133174440 a multiple of 13022?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z\/(z**(-6)*z))\/z)\/(z\/(z**7\/z)*z))\/(z**(2\/9)*z*z*z**(-1\/6)\/z))\/((z**(-2\/7)*z)**(-46)\/(z\/(z\/(z\/z**3))*(z\/z**(-5\/6))\/z)) assuming z is positive.\nAnswer: z**(2497\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000044014351 rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttt when three letters picked without replacement from bttbfttbffttt.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 11*y + 23 + y**3 - 23*y**2 - 8*y**2 - 4 + 20*y. Suppose -g + 32*h = 28*h - 50, -3*h = g - 15. Let i be v(g). Is 49 != i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -m**4\/2 + 15*m**2\/2 + 5*m - 12 = 0.\nAnswer: -3, -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.944 - 726.744. Round x to the nearest 10.\nAnswer: -720","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 AM and 12:40 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 54*b**2 + 40*b + 87. What are the prime factors of w(-10)?\nAnswer: 5087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 + 4*r + 4. Suppose 0 = -o - 0*o + 3*h + 10, 5*o - 3*h + 10 = 0. What is i(o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -120594, -120592, -120590, -120588?\n\"Answer: 2*s - 120596","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1397*b**3 + 693*b**3 - 2767*b**3 + 249*b**3.\nAnswer: -3222*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 - 66*r**2 - 10*r - 4058. Determine z(-66).\nAnswer: -3398","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of 3*d - 37\/2*d**3 + 14 + 0*d**2. Let s(b) = -b. Calculate s(v(a)).\nAnswer: 111*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2)\/r)**35*(r*r**(-14))\/r**(-2\/11) assuming r is positive.\nAnswer: r**(-1296\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*z**3 - 168*z + 2 + z**3 + 2*z**2 - 90*z - 115*z.\nAnswer: 6*z**3 + 2*z**2 - 373*z + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 - 159*s - 590454. Calculate w(852).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 4*n - 3*n)*(2*n**2 - 1 + 1)*(-4*n + 10*n + 2*n).\nAnswer: -16*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 4*h + 20 = 0, -3*l - 5*h + 35 = -10*h. Suppose 2*s - 4 = 2*f, 1 = -2*s + 3*s. What is the remainder when (2\/f)\/(-1) + 96 is divided by l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/5)\/w**(-30)*(w**(3\/11))**(2\/27))**0 assuming w is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -56093\/7140 + -36\/595. What is the common denominator of 101\/16 and x?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27 + (22 - 56) - -45\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.3 and -36550719?\nAnswer: 36550719.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*m - 34*m - 17*m in the form q + v*m and give v.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -44*i + 47. Let o be y(1). Solve -o*l - 15 = 0, -2*r + 26 = -4*l - 2 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-12)*25)\/(26\/((-1144)\/110))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -c - 5. Let z = 6 - c. Suppose -2*l - z = -3. Sort -1, l, 2 in descending order.\nAnswer: 2, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -214 + 204?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 549*b**3 - 34*b**2 - 2*b + 915. Let j(g) = g**3 - 17*g**2 - g + 1. Let v(c) = -2*j(c) + u(c). Differentiate v(r) wrt r.\nAnswer: 1641*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 15 + 184*w**3 - 187*w**3)*(w + w - 3*w)*(2 + 0 - 4).\nAnswer: -6*w**4 - 18*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 293.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 9\/11, -0.5, -5, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 - 11*h + 34. Let o be g(6). Differentiate 99 - 108*j**4 + 200*j**o - 84*j**4 - 95*j**4 wrt j.\nAnswer: -348*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -n**2*w**3 + 14*n**2 + 488707*n*w**5 - n + 736*w + 2 wrt w.\nAnswer: -6*n**2*w + 9774140*n*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46480?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 35022 + 935. What is the ten thousands digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 2*h - 4. Let y be (2\/6)\/(h\/6). Solve -y = -2*z + 6 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 + 75 = -4*h - 4*v, -18*v + 84 = -4*h - 14*v for h.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 3 = -6. Solve 0*w = -4*l + 2*w - 8, l = -g*w - 2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.457678446 to 4 decimal places.\nAnswer: 0.4577","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.01 (b) 6 (c) 7 (d) -18 (e) 11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/2768 and -44\/9.\nAnswer: 24912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -7*p + 6. Let i(q) = 3 + 2 - 14574*q + 14568*q. Give -4*i(y) + 3*j(y).\nAnswer: 3*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -85*b**2 - 1429*b - 61. Give w(-19).\nAnswer: -3595","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 432.9402755 to one dp.\nAnswer: 432.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, 2\/11, -3, 2\/3, -82\/45?\nAnswer: -82\/45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -7.5. Let s = w + 4. Let t = s - 0.8. What is the third biggest value in 3, t, 0.1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilometer in meters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*w**3 - 49*w**3 + 2 + 4*w**4 - 22*w**2 - 10*w**3 + 22*w**2 to the form f*w**4 + v + j*w**3 + s*w**2 + u*w and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-49)\/21*4\/14*3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -964808 or -49205170\/51?\nAnswer: -964808","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6800 - 2401. What is the highest common divisor of f and 83?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mnssanmpmpnndm. What is prob of picking 1 s and 2 m?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 8 - 0. Suppose 276 = k*u + 3*a, 2*u - 4*a - 276 = -a. What is the remainder when u is divided by 284\/10 - 4*10\/100?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 14, q: 4}. Give prob of picking 1 q and 2 r.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 47658507 to the nearest integer?\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, y: 3, b: 2}. What is prob of picking 1 y and 1 m?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 - (4086\/(-1185))\/3. Let c = -4\/79 - s. Calculate the common denominator of c and -95\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1063995?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155*n = -51*n + 2511716 - 443270. What is the remainder when n is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and (-27)\/(1*6\/(-4))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 + -65 + 66 - (-27 + -4)) + 16.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 286679384 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 779027 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**3\/4 + 748*w**2 + 2995*w\/4 - 2993\/2 = 0.\nAnswer: -2, 1, 2993","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(3328) + 1 + 4).\nAnswer: 25 + 80*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a kilometer in meters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151 = 16*p - 9. Suppose -p*q - 12 = 8. Which is the fourth biggest value? (a) -4 (b) -3\/7 (c) 0.3 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2502980021 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of 3\/20*v**4 - 1\/5*v**3 + 1 + 0*v + 0*v**2. Factor r(i).\nAnswer: 3*i**2*(i - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 286 = -268. Let p be (f\/(-4))\/((-5)\/(-60)). Suppose 5*s + c = -3205, -4*s = -3*c + 1714 + p. What is s rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -60205524 (base 7) to base 3.\nAnswer: -100100211221210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -266, -1064, -2392, -4244, -6614, -9496, -12884, -16772?\nAnswer: -21154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 3*j**2 + 2*j - 1. Let c(l) = 6*l**2 + 2*l - 3. Let a be c(2). Let x = -22 + a. Let z be m(x). What is the highest common factor of 4 and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of 2*k**6\/9 - 4*k**5\/5 + 1050. Factor q(a).\nAnswer: 4*a**4*(a - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2717, 5431, 8145, 10859?\n\"Answer: 2714*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/7737 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 5*n - 3. Let p be m(3). Calculate the lowest common multiple of 2\/(-8) + 111\/p and -4 + 2 + 13*1.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 167365?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**(-2\/15))\/m)\/m**(-3\/11))**(2\/13)\/(((m\/(m**(-6\/11)\/m))\/m*m*m**(-2\/29))\/((m\/m**(-7)*m)\/m**(-5\/4))) assuming m is positive.\nAnswer: m**(1939541\/248820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 - 7*h - 5. Suppose -11 + 5 = 6*d. Let v be 3\/d - (1 - 0 - 23). Let u be (24 - v)*(-12)\/(-10). What is t(u)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, e: 3, w: 1, p: 2, v: 3}. Give prob of sequence wvv.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*((-6)\/(-4) + 9\/(-6)). Suppose 2*n - 4*x = 42 + 566, 0 = -4*n - 3*x + 1172. Let a = n + -4442\/15. Which is bigger: z or a?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 878183644?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 4*k + 21857, 22486 = 2*f + 2*k + 7916. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 4*p**2. Let z(l) = -1384*l**3 - 2768*l**2. Determine -692*k(w) - z(w).\nAnswer: 1384*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, c: 9, z: 5, d: 1}. What is prob of sequence czd?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -537367509\/2500 + 214947. Does u = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 39, 17, -49, -183, -409, -751, -1233?\n\"Answer: -4*a**3 + 2*a**2 + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 43, 0, -4?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 144423 + -114230?\nAnswer: 30143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(63) + 1) + -3 + (sqrt(112) - (sqrt(112) + -2))**2.\nAnswer: 5 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 1101*k + 18714. What is d(-17)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -72909, -72908, -72907, -72906, -72905, -72904?\nAnswer: -72903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9772519 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 336112 to the power of 1\/2, to the nearest integer?\nAnswer: 580","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12 + (240\/(-50) - 7). Let y(f) be the first derivative of 0*f**3 + 25 - 2*f**2 + 3\/4*f**4 + 0*f + d*f**5. Solve y(a) = 0 for a.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -29*b + 18. Let q be v(-3). Suppose -230 = 100*r - q*r. Calculate the remainder when 275 is divided by r.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3091 greater than or equal to 3014?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -42225 - -1688893\/40. Find the common denominator of -55\/244 and a.\nAnswer: 2440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 14*t. Let s = -3 - -5. Let q be g(s). Let b = q - 20. 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 g be (-1)\/(5\/3 + -2). Let t(s) = s - 5. Let v be t(10). Let o be (-256)\/(-18) + 2\/(-9). Solve -o = g*l - v for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -313, -616, -909, -1186, -1441, -1668, -1861?\n\"Answer: s**3 - s**2 - 307*s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 493 is divided by 84?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 9:49 PM?\nAnswer: 8:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 32c + -11519?\nAnswer: -111ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/5*(-7)\/(-112)*-50*-1?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1294020 rounded to the nearest 10000?\nAnswer: 1290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (-1 - 14 - (-45 - -14 - -17))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -4\/102631?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -126*j**2 + 67 - 67 in the form n*j**2 + v*j + z and give n.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 3)*(66\/12 + -6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112) + (-6*(sqrt(112)*2 - sqrt(112)) - sqrt(112)) - (3 + (1*sqrt(112))**2 - sqrt(112)) - (sqrt(112) + 4)**2*5*-6)*-3*4.\nAnswer: -44700 - 11280*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (-12 + 4 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of j**6\/840 - j**5\/210 + j**4\/168 + 6*j**2 + 6*j. Let p(v) be the first derivative of n(v). Factor p(t).\nAnswer: t*(t - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -1463. Let y(b) = 2*b + 11. Determine 3*j(d) + 399*y(d).\nAnswer: 798*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -1395*d**2 + 7 - 1385*d**2 + 2798*d**2 - 9*d as n*d + h + z*d**2 and give h.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 - 34*p + 31. Let a be z(33). Let q(u) = u**3 - 4*u**2 + 3*u - 6. Let r be q(4). Let h be 14\/r + 4\/6. Put -4, a, h in descending order.\nAnswer: h, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 - m - 1. Let u(o) = -2*o**2 - 3*o + 7. Let i(v) = v - 1. Let y(a) = -5*i(a) - u(a). Suppose -g = 4*g - 10. Calculate g*y(r) - 5*w(r).\nAnswer: -r**2 + r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 922 is divided by 79?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/40*72\/2\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 4*u + 4 = 0, u - 5 = -x - 4*u. Let l be 11 + -4 - (x - 0). Find the first derivative of -7*m + 7 + 18*m - l*m - 7*m wrt m.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 5577, 5573, 5569?\n\"Answer: -4*m + 5581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 7*i**2 + 7*i + 7. What is the hundreds digit of n(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*g + 0 + 0)*(26 - 8 + 10).\nAnswer: -168*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*w**2 - 58*w**4 + 59*w**3 + 4*w + 82*w**4 + 18*w**4 = 0.\nAnswer: -2, 0, 2\/21, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1891\/654 + 11\/436. Let l = -4997\/1875 - 1\/625. Let j = y + l. What is the closest to 1 in j, -3, 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 746\nAnswer: -74.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of f*j**3 - 4*f*j**2 + f*j + 17*f*l + 10*j**3*l + j**2*l wrt j.\nAnswer: 6*f + 60*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2112 + -520. Let l = t - -4027. Suppose -7*j = -10*j - l. What is j rounded to the nearest ten?\nAnswer: -470","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8422 + -1852821\/220. Find the common denominator of -31\/10 and o.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.4, -32\/41, 3\/5, -7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -743 (b) 0.4 (c) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3547 (b) -4\/3 (c) 1\/6 (d) 0.4 (e) 33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of 3*u**2 - 1618. Let q(n) = -2069*n**2. Calculate q(d(g)).\nAnswer: -74484*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 19795 or 19794?\nAnswer: 19795","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.234939 meters in kilometers?\nAnswer: 0.006234939","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 568 + 2\/((-4)\/6). Let m be 8\/8*(v - 0\/(-2)). Suppose m = 5*l - 3*x + 7*x, -347 = -3*l - 4*x. Does 11 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.045 + 0.945. Let q = 1.2 + -0.2. Let z = q - u. Which is the second biggest value? (a) 3 (b) 0.2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -118, -4, 94, -3 in descending order.\nAnswer: 94, 4, -3, -4, -118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 122 = 43*j - 42*j, 90 = -12*j - 5*c - 89 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -3*v**2 + 21*v. Let f be p(8). Let z be (f\/(-3))\/(3 + 494\/(-166)). Suppose 0 = -7*j + z - 87. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56 is divided by 40.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {i: 2, y: 2, j: 1, a: 8}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 3*v**2 + 247 - 2*v**2 - 123 + 5*v - 119 - 2*v. Let c(i) = i**2 + 2*i + 4. What is -3*c(k) + 2*w(k)?\nAnswer: -k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 114017291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 12963*n**3 + n**2 - 6*n - 8. Let h = -66 - -70. Suppose 0 = -4*o - 5*d + h, -5*o + 2*d + 46 = -2*d. Let q be x(o). Round q to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 7, m: 12}. Give prob of sequence mmmg.\nAnswer: 385\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1\/6 (b) -4\/3 (c) 315910\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c + 16. Let g = 392 - 397. Let j be (-4 - g)\/(1\/7). Calculate i(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 7:53 AM?\nAnswer: 9:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-3150)\/819 + 4 + 0\/(2 + 0)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -3)*98\/42?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z**2 - 48*z - 81. Calculate v(-22).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (20\/(-8) - -3)*2. Let f = -6 + 10. Let b be (-16)\/(-6)*f\/16. Is b at least r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t. Let h be 3\/((-3)\/2) + 0. Suppose 5*r = 3*r - 4. Let z be (2 + -3)\/(r\/h). What is x(z)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4 - (-160)\/45)*-9. Suppose 5*v - 11 = 14. Put y, 1, v in descending order.\nAnswer: v, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 - (31 - 21) - -12?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -9*t**3 - 4*t**2 - 2*t + 1. Let x be 5*(-6)\/15*1. Let d be k(x). Suppose -g - 4*o - 36 = -5*g, 0 = 5*g + 3*o - d. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 + -12. Suppose -b*g + 20 = -7*g. Let d be g\/8*1\/2. Is -1 at most as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 27811 and -6\/19 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 69*t**5*v - 1615*t**4*v**3 + t**2 - 87974*t*v**3 + 5 wrt t.\nAnswer: 4140*t**2*v - 38760*t*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(112) + 1 + 0 - ((sqrt(42)\/sqrt(3))\/sqrt(2) - (sqrt(7) + sqrt(14)\/(sqrt(2)*-1))).\nAnswer: 1 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5c + -6?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of c**7\/105 - 3*c**6\/16 + 43*c**5\/120 + 3*c**4\/2 - 5*c**3\/3 + 20*c**2. Suppose z(y) = 0. What is y?\nAnswer: -1, 1\/4, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 768080 and -37336.\nAnswer: 730744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z. Let k(l) = -6*l + 2*l + l + 4*l. Calculate j(k(b)).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.029 * -4062380\nAnswer: 117809.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a hour in seconds?\nAnswer: 18720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 - 3 - 1 - 2*k**2 + 6*k**2 + 4*k. Let b(n) = -n**2 + n + 1. Let x(h) = 2*b(h) + z(h). Determine x(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -942111*s + 942111*s + 2*s**2 - 5*s**2 - 2*s**2.\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2\/27 - -89\/108. Let c(k) be the first derivative of 0*k - 1 + v*k**4 + 3\/2*k**2 + 0*k**3. What is the second derivative of c(j) wrt j?\nAnswer: 18*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 470 is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 14) in base 11?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 - 18*a**2 + a + 11. Let b be o(18). Suppose s - 3*l = 2*l + 25, l + b = s. Suppose 4*g - 7*g + s = 0. Does 5 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 536, -4, 1.2, -38, -1\/3?\nAnswer: 536","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l - 20 = -2*l, l = 5*r - 5. Let s be ((-32)\/(-4))\/4 - r. Suppose 0 = s*a - 41 - 57. Is a a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**1)\/(f**4*f))**(-31) assuming f is positive.\nAnswer: f**93","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 142690 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = 7 - 9 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78149.\nAnswer: 17, 4597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 35 = -5*s, 9*s + 8*s - 16 = 18*s - 4*p for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22035332 to the nearest integer?\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 1\/3 (c) -26 (d) 1\/8 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40*f + 25*f + 16*f + 48*f to i*f + y and give i.\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*o + 15*o + 12*o)*(0*o + 2*o**2 + 0*o) + 0*o**3 + 0*o**3 + 3*o**3 + (0*o**3 - 2*o**3 + 0*o**3)*(2 - 1 - 3).\nAnswer: 39*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fifty-four fifths of a milligram?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 120256 divided by -4?\nAnswer: -30064","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 751372652?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 41 = -2*p + 5*c, 4*p - 71 = 5*c. Let m(a) = -a**3 + 15*a**2 - 14*a - 4. Let d be m(p). Let f be (-65)\/(d - 1) + -3. Solve f = -2*t + 2 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -3*c. Let l(p) = -6*p**2 + 3*p + 3574. Calculate z(l(j)).\nAnswer: 18*j**2 - 9*j - 10722","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - ((5 - 11) + -8 + 10).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/20*456\/(-171)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of -12 + s**2 - 1\/320*s**6 - 3\/16*s**4 + 1\/2*s**3 + 0*s + 3\/80*s**5. Let x(y) be the second derivative of v(y). Factor x(h).\nAnswer: -3*(h - 2)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -95845309\/258 - -371494. Find the common denominator of 71\/8 and d.\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.41 and 315187920.\nAnswer: 315187919.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 331 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 13*q - 2178. Let b = q - -214. Let m(i) = 3*i**2 + 3*i + 1. Calculate the remainder when m(-5) is divided by b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29560463189 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = -5*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-41)\/2)\/(88\/(-352) + (-12)\/(-16))?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.26718 litres in millilitres?\nAnswer: 50267.18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(1\/4)*r)\/r*r**(1\/12))\/(r**4*r)**(-10) assuming r is positive.\nAnswer: r**(151\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64040.\nAnswer: 2, 5, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 - 3 = -6*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 25\/7 of a week?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/39536 and 9\/39536.\nAnswer: 39536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xrur when four letters picked without replacement from {u: 2, x: 7, r: 4}?\nAnswer: 7\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3351511 + -3?\nAnswer: -3351514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -73, -89, -109, -133, -161, -193?\nAnswer: -229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.13 - 13.13. Let f = -6 - y. Let h = f - 6.99999984. What is h rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 4) + (-12 + -1 - (-144 - -107)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*s + 30. What is the common denominator of (-3)\/s - (-35)\/(-33) and -51\/22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-95) - ((-546)\/(-133) - 9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 + i**2 - 2*i - 1. Let p be z(-2). Let g be (p - (1 - 3)) + 1. Suppose u + 3*u = -g*v + 802, -807 = -4*u - v. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of 0*j**2 + 12 - 16\/3*j**3 + 0*j. Let f(a) be the third derivative of -a**5\/30 + 2*a**2. Give v(f(b)).\nAnswer: -64*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2856677, 2856683, 2856687, 2856689, 2856689, 2856687, 2856683?\nAnswer: 2856677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n**(1\/8)\/n)*n**33)\/(n*n*n**22*n)**22 assuming n is positive.\nAnswer: n**(-4129\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4*l - 3)*(1 + 2 - 1)*(-1 + 1 + l).\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1757 - 1.8137. Let w = x + 42.798. Let u = w - 40. What is u rounded to one dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 1132394?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*l - 2*l**2 + 4*l + (l + 3*l - 3*l)*(4*l + 2*l + l))*(-5 + 6*l**2 + 10*l**2 - 14*l**2) to the form p*l**3 + t*l + j*l**2 + u*l**4 + f and give u.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 3*d - 8. Let x be (-12 - -2) + (-6)\/d. Let m = -16 - x. Put 5, m, -2 in decreasing order.\nAnswer: 5, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*y = y + y. Which is bigger: y or 3\/37?\nAnswer: 3\/37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 5*i - 4 - 31 = 0, 0 = -2*i - 10. Factor 3\/2*g - 1\/4 - 9\/4*g**n.\nAnswer: -(3*g - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 16 = -h. Suppose 0 = 9*p - 15066 + 15030. Calculate the highest common divisor of h and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5375, -5373, -5371, -5369, -5367?\nAnswer: -5365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30 - 22. Let f = 71 + k. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1593 + -797. What are the prime factors of b?\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*b + 28 = 2*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 220 and 2080.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 12454, 13389, 14956, 17161, 20010, 23509?\n\"Answer: v**3 + 310*v**2 - 2*v + 12145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 537663430 to the nearest integer?\nAnswer: 813","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 453, 451, 449, 447?\n\"Answer: -2*g + 455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 374? (a) -520.7 (b) 0.1 (c) 0 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 141.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 763 (base 8) to base 2.\nAnswer: 111110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 954*s - 23*s**3 - 5*s**5 - 974*s - 35*s**4 - 52*s**3 - 42*s**2 - 23*s**2 = 0?\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 571982 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 20. Let g = y - -26. Suppose -11*k = -g*k. Is -2 smaller than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 - 15*w**2 + 16*w - 19. Determine b(14).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3721 + -2511. Let h = x - 854. Is h greater than or equal to 356?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4*6\/1020*60\/(-4). Factor -4\/17 + g*b - 2\/17*b**2.\nAnswer: -2*(b - 2)*(b - 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**5 - 100*g**4 + 2522*g**3 + 251100*g**2 - 6305121*g.\nAnswer: -g*(g - 31)**2*(g + 81)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152) - (sqrt(152) + sqrt(152)*-2))*3)\/((sqrt(88)*1 - sqrt(88))\/sqrt(11) - sqrt(8)).\nAnswer: -6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = -4*y + 8, 3*o + 274*y - 142*y - 131*y + 11 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1152\/12*(-6)\/(-342)*19\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4613 (base 7) in base 15?\nAnswer: 76b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 209 and 143?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence smsa when four letters picked without replacement from assafm.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2192 + -2190. Solve 10 = -4*q + 2*v, -t*q - q - 8 = -2*v for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -491*w**3 - 658*w**3 - 465*w**3 + 1425*w**3.\nAnswer: -189*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 12) in base 14?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 16 = 2*o, -4*u - 54 = -2*o - 2. Let i be ((-3)\/2)\/(9\/u). Suppose i*z = 3*z - 67. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*s + 2*g = -93*s + 109842, -4*g = 4*s - 109832. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 240131 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 50*9\/(-15)*-2. Suppose 4*f = -n - 16, -33 = -5*n - 2*f - 203. Let z = n + u. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*j - 6*j - 32. Suppose g = 14 - j. Solve -2*m = -g*m + 4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 6}. Give prob of picking 4 j.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001319462 rounded to 6 dps?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.5565182 millilitres?\nAnswer: 0.0005565182","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -1197*u**3 - u**2 - 10*u - 8. Suppose 553*d + 9 = 544*d. What are the prime factors of b(d)?\nAnswer: 2, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56225868, -56225867, -56225866, -56225865?\nAnswer: -56225864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 - -33. Let k = -14.9999947 + n. What is k rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*i**4 - 158*i**3 - 414*i**2 + 4326*i + 980.\nAnswer: 2*(i - 7)**2*(i + 5)*(9*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 5*o - 88. Suppose 4*t = -3*y + 1 + 6, 3*t = 5*y + 27. Calculate the remainder when y*(-8)\/(-84) - (-415)\/7 is divided by o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 3 = -13. Suppose -m = 5*o - 15. Put -2, -1, o in descending order.\nAnswer: o, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 divided by 6.\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10792433 divided by -9?\nAnswer: -10792433\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7.03 - 13.74. Is 1 at most x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -320 (b) 5\/2 (c) -4 (d) 4 (e) 0.5 (f) -0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120 + -112112112?\nAnswer: -112120002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7*7\/637*(-56)\/(-168)?\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*f - 462 + 462. Which is the nearest to f? (a) 1\/16 (b) -0.2 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10900680?\nAnswer: 2, 3, 5, 7, 19, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 y when two letters picked without replacement from yqqqtyeytqeeyeeqyyy.\nAnswer: 14\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 364759103.\nAnswer: 364759103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 767?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of 84*z**5\/5 + 13*z - 65. Differentiate d(p) wrt p.\nAnswer: 336*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 + 8*m**2 - 5*m - 10. Let t be v(7). Find the second derivative of -2*b**5 + 14*b + b**4 - b**5 - b**t wrt b.\nAnswer: -60*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.89 - 3.79. Let f = 499 - 498. Which is the second smallest value? (a) v (b) 0.2 (c) -0.2 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -43 - -57. Suppose -193 - 101 = -d*s. Does 4 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -39*b - 1. Suppose -w + 0*x = -x - 2, 0 = -5*x. Suppose d - w*d - 3*i - 17 = 0, 5*d + 3*i + 25 = 0. Is m(d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of -c**8\/105 - 7*c**4\/12 + c**3 - 8. Let v(r) be the third derivative of w(r). Differentiate v(n) with respect to n.\nAnswer: -64*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*f + 305 = 88*f - 0*f + 2661 for f.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 96 and 16.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23624.1 + 23624. Let j be (4 + 0)*(-1)\/26. Which is the nearest to 2\/7? (a) j (b) r (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -344*q**2 + 178*q**2 - 222*q**2.\nAnswer: -388*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 199597761?\nAnswer: 3, 11, 2016139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37024355, -37024352, -37024345, -37024334, -37024319?\nAnswer: -37024300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 10:35 AM?\nAnswer: 2:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -934 + -46. Let j = b - -967.59. Round j to 0 decimal places.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10.7 + -0.3. What is the smallest value in q, -0.2, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 186 - 2048\/11. Which is the second smallest value? (a) g (b) -5 (c) -0.3 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14507 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*c - c - c - c - c + 3*c - c + 3*c - c + (0 + 0 + 1)*(0*c + 0*c - c) + 3*c - 4*c + 3*c.\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j**2 + 1359*j - 1359*j - 6*j**2.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 1943*t - 27. Let q(i) = 970*i - 15. What is 11*q(c) - 6*v(c)?\nAnswer: -988*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 49898?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/(y\/y**20*y*y))\/y*y*y*y**(-40)\/y assuming y is positive.\nAnswer: y**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 212572 and 836.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 1)*(u + 0*u - 2*u)*(3 - 5 + 0).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(2*(sqrt(72) + sqrt(72)*-2) + sqrt(72)))\/((sqrt(432) + sqrt(48))\/sqrt(8)*-5).\nAnswer: -2*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1, -4, -0.34, 0, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.61025 to two dps.\nAnswer: 10.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30825 - -103220. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p - 27. Suppose 0 = -0*r + 3*r - 9. Suppose h - 2 = 3*w + 39, -3*h = -r*w - 33. Let b be c(w). What is the second biggest value in -1, b, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*n + 49 - 99 + 330 = 0 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 27*v**2 - 13*v - 2. Let x be y(5). Calculate the highest common divisor of 64 and x.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2)\/o)\/(o*o*(o**(-1\/6)\/o)\/o))**(-37) assuming o is positive.\nAnswer: o**(629\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*k = 6*p + 12*p + 8*k + k - k + 102, 20 = 8*p - 5*k for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -165 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/12 + (-177)\/(-12). Suppose -s = 2*f - 7*f. Solve 5*n - 24 = 2*v, f*v - n + 0*n = -10 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23755536 a multiple of 252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (15\/10)\/((-3)\/(-332)). Let n = v + -114. Is 13 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-5035)\/38*2\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of -z**5\/60 + 5*z**4\/24 + z**3 - 7*z**2 - 1. Suppose 3*w + 9 = 2*y, -2*y - 11 = -3*y - 5*w. Give q(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**2 + 3*m**2 - m**2)*(-29*m - 25*m - 67*m).\nAnswer: -121*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -25*g. Let f(a) = 9*a + 11. Let n(p) = 5*p + 6. Let q(d) = 6*f(d) - 11*n(d). What is i(q(r))?\nAnswer: 25*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 1)*(3 - z**2 - 3) - 9*z**2 + 10*z**2 + 9*z**2 + (-3 - 2 - 5)*(-2*z**2 - 4*z**2 + 4*z**2) - 3*z**2 + 0*z**2 + 2*z**2.\nAnswer: 28*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-18)\/8*(-9)\/((-54)\/(-16))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 + 4*r**2 - 7*r - 18. Let a be o(-5). Let c = -3 - a. Suppose 243 = c*k - 37. What are the prime factors of k?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, q: 1, l: 1, k: 1, b: 2, p: 2}. Give prob of sequence bbk.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 1 = 3*i, 3*j - i - 15 + 3 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, m: 2, l: 2, t: 2}. Give prob of picking 2 w and 1 m.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (2 - 5)) + 1 + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = k - 4, -7*m + 7*k - 12*k = -5*m - 20 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -4*z - 7. Let w(y) be the first derivative of 5*y**3\/3 - 7*y**2\/2 + y - 1. Is w(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/2, -0.35, 0.077846?\nAnswer: -0.35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 138*l**3 + l**2 + 5*l + 5. Let q be y(-4). Let g = -88187\/10 - q. Calculate the common denominator of g and -31\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17421517 to the power of 1\/3, to the nearest integer?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3933620*n**4 - 2*n**2 - 8486*n - 377 wrt n.\nAnswer: -94406880*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 21 - 14*a**2 + 5*a**2 + 14*a**2.\nAnswer: 5*a**2 + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -5*h + 784, -4*h = 5*m - 438 - 222. Let b be (42\/(-9) - (-1)\/3)*-3. Suppose -b*k = -8*k - h. What is the highest common divisor of 16 and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d + 300. Does 3 divide j(-22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -459 + 941. Let f = -483.3 + i. Put f, 2\/5, -1 in increasing order.\nAnswer: f, -1, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/6)\/(27\/(324\/147)).\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6688355 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - 3) + (-48)\/(-3). Let j(v) = -4*v + 4*v + v - p - 5*v. Let u be j(-5). Solve 0 = 3*n + 4*t - 16, -u*n - 3*t + 23 = -0*t for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -55 (base 7) in base 13?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 41 + -49. Let t be 5 + (b\/36 - (-75)\/(-27)). Let p be -10*t\/(-5)*(-2)\/(-2). Let z(q) = q**2 - 5*q + 2. Give z(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/(-10))\/(2\/(-60)). Let n = -2 + a. What is the least common multiple of 9 and n?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 AM and 8:33 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27) + 0 + 3 - -2*(sqrt(120)\/sqrt(4) + sqrt(30))\/sqrt(10).\nAnswer: 3 + 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*v + 227*v = 0. Solve 3*z + 251 - 239 = v for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/81 less than or equal to 1825\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69 is divided by 4\/(2*4\/(-8)) - -16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -69570300 rounded to the nearest one million?\nAnswer: -70000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 4*u = 6*w - 16, w - 4 = 5*u. Suppose 0*s = -w*s + 4. Calculate the least common multiple of 3 and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31 - 45 + 4*x - 2*x to o + r*x and give o.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 655.1425 millimeters in micrometers?\nAnswer: 655142.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 11867.51\nAnswer: 11864.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 153, -2, 2, -0.5, 0.01131?\nAnswer: 153","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 + 66*n + 226. Suppose 3*o = -l - 0*l - 5, 0 = l - 3*o - 25. Suppose 3*j = 40 - l. Calculate the remainder when v(-63) is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 4*w + 11. Let x(n) = 3*n + 10. Suppose -5*l - 14 = 3*t, -2*l + 6*l + 5*t + 6 = 0. Let a(g) = l*o(g) + 5*x(g). Calculate a(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9\/54*(-2)\/15. Is u > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1277 - 641 - 640 + 45*r + 16*r to o + g*r and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*u + 18*u + 170 = 0. Suppose -2*f - 3*o = -u, -5*f + 2*o = -3*o - 135. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - -5. Let w = -350 + 351. What is the fourth biggest value in t, w, -2\/7, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 3:36 AM?\nAnswer: 4:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 5:47 PM?\nAnswer: 5:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of -j**8\/420 + j**4\/3 - j**3\/3 + 9*j**2. Let m(i) be the first derivative of s(i). What is the first derivative of m(n) wrt n?\nAnswer: -16*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74762474?\nAnswer: 2, 37381237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -1.4?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 629 a factor of 179697123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a**3 - 33*a**2 - 18*a + 12. What is w(17)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(432) + 5 + sqrt(432) - 6*(sqrt(33)\/sqrt(11) + -3)**2.\nAnswer: -69 + 60*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99 = 5*r - 8*r. Let w be r\/(-11) + 0 + 9. Let d be (1\/3)\/((-7)\/(-63)). Solve -4*j - 2*x - w = 0, x - 36 = 4*j - d*x for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(0 + 4\/16). Let o(s) = -s**3 + 7*s**2 - 8*s - 6. Let d be o(5). Calculate the highest common factor of d and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/1518 and -94\/1252695?\nAnswer: 27559290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -6627*i - 46244. What is c(-7)?\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of v**3\/3 - 2*v - 27. Let m(f) = 10*f. Calculate -2*m(r) + 9*y(r).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - 0. Let d(o) = 3*o**2. Let l(a) be the third derivative of 0*a + 0 + 13\/60*a**5 + 0*a**4 + 2*a**2 + 0*a**3. What is p*l(t) + 9*d(t)?\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 9, r: 1, g: 3, f: 6}. What is prob of picking 2 f and 1 r?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/18927403?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.5 + -5.5. What is the second biggest value in f, -3\/5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2*u + 40. Let t be d(19). Let h(j) = 4*j**t - 3*j + 0*j**2 + j + j**3 + 0*j + 2. Does 5 divide h(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 19, 6\/923 in descending order.\nAnswer: 19, 4, 6\/923","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 divided by 480.\nAnswer: -11\/160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 51 and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 - 2*g + 6. Let b be x(-3). What is the common denominator of (b + 299\/(-48))*(-4)\/(-10) and 61\/27?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 296023122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**5 + 4722*j**4 - 28278*j**3 + 42390*j**2.\nAnswer: -2*j**2*(j - 2355)*(j - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -24*n - 424. Let l be m(-20). What is the greatest common factor of 84 and l?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_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 v = 78 + -53. Let y = -17 + v. Let k be (-1)\/(1 + y\/(-6)). Put 2, k, -3 in increasing order.\nAnswer: -3, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/7108100 and 13\/7108100?\nAnswer: 7108100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(833) + sqrt(833)*-3 + sqrt(833) - sqrt(833) - sqrt(833))**2 + 0 + (sqrt(68)\/(sqrt(12)\/sqrt(3)))**2)*1.\nAnswer: 210*sqrt(17) + 7539","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ljjrrjllrry. What is prob of picking 2 r, 1 j, and 1 y?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -87*t + 693 - 171 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -26 + 29 - 5*r**4 + 0*r**4 wrt r?\nAnswer: -20*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 22 = 4*k, -2*p + 7*p + 4*k = 31 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, r: 6, u: 4, p: 3, n: 1}. What is prob of sequence wr?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 835 is divided by 274.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 PM and 4:34 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - r. Suppose 3*q - 4*q + 24 = r. Suppose 2*x = x + q. Solve -3*j - j = -h + x, -2*j - 30 = -5*h for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48288845321 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -20*((-352)\/(-11))\/32*(-42)\/15?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31111 (base 4) to base 11.\nAnswer: -706","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 202220 + 1201?\nAnswer: 210021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9\/38 + -24\/19. Suppose 3*r + 0*r + 3*x = -6, -x = -r - 4. Which is greater: m or r?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 967355 a multiple of 155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/56 + (-12 - 8320\/(-112) - (-2 + -6)).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/7, 1142, 2\/5, 1\/2, 1?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 223*o**2 + 6*o + 1. Let a(h) = 447*h**2 + 11*h + 1. Calculate 5*a(t) - 9*z(t).\nAnswer: 228*t**2 + t - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**5\/7 - 1308*x**4\/7 - 122534*x**3\/7 - 4064316*x**2\/7 - 6872576*x - 11559744 = 0 for x.\nAnswer: -549, -47, -28, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -10\/9, 0.02, 963, -0.2, -4.6?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5823 by 3.\nAnswer: -1941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of -1697*g**5\/12 - 1525*g**4\/6 + g**3\/3 - 3278*g**2. What is the second derivative of v(t) wrt t?\nAnswer: -16970","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31604.086 take away -9.85?\nAnswer: 31613.936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 476896 and 5614.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13517523739 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11\/482 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 159 + 14 = i, 3*m = -i + 173. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 208117, 208303, 208599, 208993, 209473, 210027?\nAnswer: 210643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.03 (b) 3\/4 (c) -209 (d) -5 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*q*t**2 + 2*q*t*w + 3946*q*t - 2*q*w - 19082*t**2*w + 17*t*w wrt t?\nAnswer: -8*q - 38164*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 284549\/134 + 7\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 25873645.1797 and 0.1.\nAnswer: 25873645.2797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is -261201 divided by 1?\nAnswer: -261201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (151\/5 - 8\/(-10)) + -6. Let o(l) = -l**3 + 4*l**2 + 4*l - 6. Let d be o(4). What is the greatest common divisor of s and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 523*f - 197*f + 0 + 0 to the form h + l*f and give l.\nAnswer: 326","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.0193088 + -0.0191688. Let c = 0.13 - 5.13. Let i = c + k. Round i to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 13*c**3 + 11*c**2 + 11*c. Let f(y) = 11*y**3 + 5*y**2 - 5. Let r(i) = -i**3 + i + 1. Let h(v) = -f(v) - 5*r(v). What is 9*h(x) + 4*k(x)?\nAnswer: -2*x**3 - x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*2*sqrt(70) + sqrt(70) + sqrt(70))\/sqrt(10).\nAnswer: -4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 380 = 18*k + 20*k. Suppose 0 = -j - 3*y + 6, 5*j = -y - 3*y + 19. Solve -j*w = 2*w - k for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + 1*sqrt(2) + -1 - (sqrt(24)\/(-1*sqrt(12)) - sqrt(2)))**2*1 + 2.\nAnswer: -8*sqrt(2) + 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**(-2\/7)\/i)*i)**(-48)*(i**(-8\/7)*i)\/i**(-8))**(-12) assuming i is positive.\nAnswer: i**(12588\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -3394880*t**5 + 35506160*t**4 - 127783245*t**3 + 175394610*t**2 - 61958925*t + 6429780 = 0. Calculate t.\nAnswer: 189\/824, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (85\/(-10) + 5 + 1)*-6. Calculate the greatest common factor of d and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01*0.285.\nAnswer: 0.00285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 120 and 65.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b**3 + 28*b**2 - 27*b - 50. Calculate j(-15).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10300\/7 - 1474. Suppose 5*c + x - 115 = -12, -4*c - 5*x + 74 = 0. What is the common denominator of c and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {c: 7, a: 4}?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -41*b + 51*b + 47510. Round b to the nearest one hundred.\nAnswer: -4800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w**2 + 49*w - 12. Let p(k) = k + 13. Let q be p(9). List the prime factors of l(q).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 5 (b) -16 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w - 11. Let g be z(0). Let i(r) = -r - 7. Let y be i(g). Factor y*b**2 - 1 + 2*b**2 - 2*b**2 - 3*b**2.\nAnswer: (b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yycqqqqyyyycyy. What is prob of picking 1 q and 1 y?\nAnswer: 32\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2\/21 + -3\/7. Which is the closest to d? (a) 0.1 (b) -2 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.9945031l?\nAnswer: 994.5031","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -24 (b) -0.01 (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 - -369. Is 16 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 + 4)*(-l**2 - 3*l**2 + 2*l + 7*l**2)*(97 + 92 - 227)*(l + 3*l - 2*l) to f*l**3 + b + y*l + k*l**2 and give f.\nAnswer: -456","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21477.\nAnswer: 3, 7159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 1) + (-45 - -61) + -11.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -31753, -31747, -31737, -31723, -31705, -31683?\n\"Answer: 2*u**2 - 31755","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of 13*o**2 + 3\/5*o**5 + 52 + 0*o + 0*o**4 + 0*o**3. What is the second derivative of x(c) wrt c?\nAnswer: 36*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -0.3 (b) 1.47 (c) -3 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1368783?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2443082 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2502, 4977, 7452, 9927, 12402, 14877?\nAnswer: 17352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 704648?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -3335987 and -3335995 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (0 + 9596 + -22)*1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.5 - -0.5. Let t = -1.56 + -0.44. Which is greater: t or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 15 - 36 + 12 + 0 + 2*h + 14. Let n(y) = -2*y**2 - 10. Calculate n(b(f)).\nAnswer: -8*f**2 - 40*f - 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -127 - -125. Sort -7, n, 5.\nAnswer: -7, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18515 to the power of 1\/2, to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(2 + sqrt(612) + 5 + 1*sqrt(612) + -5)*5)**2.\nAnswer: 4800*sqrt(17) + 245200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26784\/(-8064)*4\/3*2)\/((-30)\/21).\nAnswer: 31\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 535150.\nAnswer: -1\/267575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 0, 2.2712, -5 in increasing order.\nAnswer: -5, 0, 2.2712, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 659 (b) 0.3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 190903\/(-1) + (-7 - -10) - 0. Round n to the nearest ten thousand.\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 3\/(-2)) + (-42)\/100.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 6*w + 109. Is y(13) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 310650000 to the nearest one million.\nAnswer: 311000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2047.448 * 3.\nAnswer: -6142.344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 620585243 is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -5 + 10 + 3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14 less than 14.998697864?\nAnswer: 15.138697864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1539664?\nAnswer: 2, 7, 59, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -187*r - 872*r - 46200 = 41*r for r.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20585?\nAnswer: 5, 23, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + g = -3, -4 = 5*k + 18*g - 5 - 7 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 14 = r + 2*x, -5*r + 4*x = -18. Suppose -4*z + 2*z - r = 0. Let b = z - -2. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 2*s - 345 = -7*s, 0 = 2*s + 2. Calculate the highest common factor of o and 70.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-105 - 14*u + 105)*(-1 + 2 + 0)*(2*u + u + u)*(0*u - 3*u + u).\nAnswer: 112*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 6 = 2*u, -9*u + 43 - 61 = 3*r for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, 1, -25.99, -2 in decreasing order.\nAnswer: 1, -2, -24, -25.99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -176*f + 200 - 2832 - 1064 for f.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4730150 and 625.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -4*s. Let r(j) = 2*j - 10 + 10. Give r(g(l)).\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 44\/9 + -43\/9. Let k(r) be the second derivative of 1\/54*r**4 + 0 + 2*r + i*r**3 + 2\/9*r**2. Suppose k(f) = 0. Calculate f.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 29 = -3*z, 8 = z - 5*z + 5*t for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 96251 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - q)*(-3 + 3 + q) + 45*q**2 - 13*q**2 - 11*q**2 - 2*q**2 - q**2 + 4*q**2.\nAnswer: 21*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*j**2 + 8*j**2 - 9*j**2.\nAnswer: 10*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216*b - 2710 + 3593 = -5813 for b.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of -z**5\/20 + 7*z**4\/4 + 20*z**3\/3 + 34*z**2 + z - 18. Is 16 a factor of a(22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1683529 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -193 - -188. What is the closest to 1 in 0.2, d, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 5*p - 33 + 123 = 0, -944*d + 33 - 13 = -945*d + 2*p for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 - 8*q**2 + q - 8. Let v be y(8). Suppose b + v*b = -8. Calculate the remainder when 2 + 0 + b\/(-1) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-135)\/9)\/315)\/(2\/6)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -752, 1, -2, -10, 24 in decreasing order.\nAnswer: 24, 1, -2, -10, -752","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 998927*d**4 + 11*d**3 - 34448942*d?\nAnswer: 11987124*d**2 + 66*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32 and 48669416.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 - 62*z**2 + 58*z - 313. What is j(-63)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -7*b**2 + 11. Let c(v) = 4*v**2 - 5. Calculate 11*c(u) + 6*m(u).\nAnswer: 2*u**2 + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-6 - (-4 + -1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 9*a - 15. Let r(c) be the third derivative of 3*c**a + 0*c**4 + 0*c + 0 + 0*c**3 - 1\/30*c**5. Factor r(z).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -120 - -131. Let x(m) = -36*m + 2*m**3 - 17 + 52*m + g*m**2 - m**3. Let z be x(-9). Sort z, -2, 2 in descending order.\nAnswer: 2, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1815.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30563 + -30546. Calculate the remainder when 77 is divided by v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1572882, 3145725, 4718568, 6291411?\nAnswer: 7864254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 7*q**5\/8 + 781*q**4\/4 + 1049*q**3 - 100549*q**2\/4 + 578705*q\/8 + 10850 = 0.\nAnswer: -217, -16, -1\/7, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2285 + -6.85.\nAnswer: -2291.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of 5*a**3 + 11*a**2\/2 - 18. What is the second derivative of w(z) wrt z?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/4 (b) -221 (c) 1\/9 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i + 1. What is the lowest common multiple of (15\/4)\/(81\/108) and n(-5)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*(-6)\/((-378)\/711) + -11. Let w be -8 - -6 - (-28)\/10. What is the third biggest value in d, w, 1\/2, -1\/3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -62802042 rounded to the nearest one million?\nAnswer: -63000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -8863 take away -5?\nAnswer: -8858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/140 and -85\/10958532.\nAnswer: 383548620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z - 2 = -4*z. Let p(r) = -2*r**3 - r**2 + 1. Let b be p(z). Suppose 0 = -b*m + 30 - 10. Does 8 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + ((2 + 9 - -8) + -8 + -10 - -38)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 5. Let w = 1 - j. Is 12 a factor of (w\/(-4))\/((-2)\/96)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 2*v = 8, -5*n + 236 = -21*v - 22*v + 879 - 246 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 + 10*q - 8. Let p be r(11). Let z(b) = -b**2 + 17*b - 32. Let m be z(10). Let f = m + p. What is the smallest common multiple of f and 8?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 8:30 PM?\nAnswer: 7:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3680599254 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 PM and 6:08 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, w: 1, c: 2, g: 1, f: 4}. What is prob of sequence gk?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-15)\/6*(-76)\/(-20))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -g - 4*u, 9*g + 6 = 3*g + 4*u for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 + 9*n**2 - n + 9. Let d be a(9). Let y = d - -3. Suppose y*k + 2*m = -m - 3, k + 5*m + 21 = 0. Solve -k*x + x = 15 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*d + 16*d = 37*d - 392. Solve g = -48*g + d for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 22*c**2. Let f(b) = b - 1089. Calculate f(v(n)).\nAnswer: 22*n**2 - 1089","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-1) + (95 - 1). Let a = f + -63. List the prime factors of a.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 32 - 22. Suppose -3*b + 102 = -0*b. Suppose -2*h + 2 = -b. What is the remainder when h is divided by n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b - 1. Let d be w(3). Suppose 23*m = 819 + 1274. Suppose -3*v + 178 = 5*u, d*v = -5*u + 21 + m. Is v a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f - f - 2*f**4 + (-2*f**2 + 2*f**2 - 4*f**2)*(f**2 - 6*f + 6*f) + 4*f - 4*f - 3*f**4 to a + o*f**3 + q*f**4 + b*f**2 + h*f and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 79.11 and -3787.\nAnswer: -299589.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -5*v**2 + 62*v - 1462. Determine m(15).\nAnswer: -1657","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 18, 1\/8, -2, -1.1?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-9)\/(-27))\/(84\/27 + -3). Suppose -2*a = a - m. Let k = 0.1 + 4.9. Sort a, 0, 0.4, k in decreasing order.\nAnswer: k, a, 0.4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Divide -26052138 by -27.\nAnswer: 964894","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m - 4*m**3 - 7*m**3 - 2*m**3 + m.\nAnswer: -13*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2115124 * -26\nAnswer: 54993224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jbjbbjjbjbjjbjbbjjb. Give prob of sequence bj.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of -v**2 - 4*v + 118. Let q(r) = r**2 - r - 1. What is -m(l) + 2*q(l)?\nAnswer: 2*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 10*c**2. Let l(h) = -61*h + 63*h + h. Calculate l(o(j)).\nAnswer: 30*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 65 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 8:15 PM?\nAnswer: 10:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -8*j. Suppose -4*y - 2*i = -86, -5*y - i + 3*i = -121. Suppose y = -0*b + 5*b + 4*k, 4*b + 4*k - 20 = 0. Let s(z) = b*z + z - 6*z. Give s(c(q)).\nAnswer: 16*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2 + 1 - 5*k - 5*k**3 + 6*k + 5*k**2. Let c(s) = 9*s**3 - 9*s**2 - s - 5. Calculate -3*c(z) - 5*g(z).\nAnswer: -2*z**3 + 2*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 m when three letters picked without replacement from {a: 2, k: 3, m: 6, p: 3, y: 3}.\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkmmkmkkkmkmmkmmkm. Give prob of sequence mk.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -5*s + 530 + 1698, -i - 1796 = -4*s. Calculate the greatest common factor of s and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/60 and 9\/((-1458)\/39) - (-3)\/9.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 67774080 by 60.\nAnswer: 1129568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1.7 (b) -58.038 (c) -0.03 (d) 0.1 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 250.102 * 0.049.\nAnswer: 12.254998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 588 = 4*r - 4*q, -2*q + 85 + 62 = r. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17\/6, 13, 5, 3\/7, -5, 0 in descending order.\nAnswer: 13, 5, 3\/7, 0, -17\/6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -49*l**3 + 7*l**2 + 7*l - 838. Let y(g) = 48*g**3 - 6*g**2 - 6*g + 835. Let j(m) = -6*i(m) - 7*y(m). Differentiate j(r) wrt r.\nAnswer: -126*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/(-7)*(54\/(-8613)*-22)\/(3*2).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u**2 + 13*u**2 + 0*u**2 + (4*u**2 - 3*u**2 + 0*u**2)*(2 + 1 + 2) - 2*u + u**2 + 2*u to d*u + l*u**2 + b and give l.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 120\/16*(-8)\/(-70).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12.6 in 234273, 2\/5, -0.1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, y: 17}. What is prob of sequence yyy?\nAnswer: 34\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37 - 30*j**2 - 37)*(0*j**2 + 11*j**2 + 18*j**2)*(1 - 1 + 2).\nAnswer: -1740*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/6 and 3\/1010?\nAnswer: 3030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4624 is divided by 463.\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l**2 - 2*l**2 - 2*l**2)*(23207*l**2 - 538*l**3 - 23207*l**2).\nAnswer: -538*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -2. Let k(p) = 3 - 2*p - 5 + p + y*p**2. Is 8 a factor of k(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - -10 - 21) + 13?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -21*n - 190. Let j be u(-27). What is the highest common divisor of 39 and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 92\/6 + (-5)\/15. Let s be (20 - 34) + 15 + -3. Sort v, 24, s in descending order.\nAnswer: 24, v, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 446*p + 69821?\nAnswer: 446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34432 is divided by 3123?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 9:38 PM?\nAnswer: 10:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -4*x, -44*d = -47*d + x - 6 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -12*m**3 + m**2 - 5*m + 8. Let i(q) = -10*q**3 + 2*q**2 - 4*q + 9. Let v(y) = 5*i(y) - 4*t(y). Find the first derivative of v(j) wrt j.\nAnswer: -6*j**2 + 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*o - 44*o + 5*o + 9*o.\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/(-20)*6\/(-3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 240 - 1?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1\/4))**42*(o\/(o\/o**(-2\/11)))\/o**(1\/2))**(1\/17) assuming o is positive.\nAnswer: o**(-123\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -465788*r + 465783*r. Let y = 67255903\/4824 + -125480\/9. Let m = 6\/67 - y. Which is the nearest to 0.3? (a) 1 (b) r (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 5 = -8. Let h(k) = k**3 + 12*k**2 - 12*k + 11. Let p be h(s). Is -1 > p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30\/7*s**2 - 60\/7*s**3 + 9*s + 24\/7*s**4 - 54\/7 - 3\/7*s**5 = 0.\nAnswer: -1, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 16*x**2 - 8. Let p be h(-4). Let i = 127 - p. Let f = i + 283. Does 18 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 9) to base 2.\nAnswer: -1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, f: 1, w: 1, r: 6, q: 2}. What is prob of picking 2 z and 2 q?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 535, 534, 533, 532?\nAnswer: 531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 55 = 5*f, -l = -3*f - 9 - 6. Suppose 5*b - l - 13 = 0. Calculate the remainder when 19 is divided by b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68794235*z**3 - 154440629*z**3 + 16742238*z**3.\nAnswer: -206492626*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 2058745?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.12 in 4, -0.2, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**2 - 844*j - 22560.\nAnswer: 4*(j - 235)*(j + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -304*j**2 + 6*j - 6*j + 1726*j**2.\nAnswer: 1422*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbgi when four letters picked without replacement from {i: 2, g: 1, b: 7}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 246 is divided by 116.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -75*f + 2507. Calculate the remainder when d(24) is divided by 85.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 5*p - 5 = 0, 86*l = 84*l + p - 1 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 131406 and 1936.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 - 16*j**2 + 23*j - 7. Give y(-17).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 342 = 1822. Let u = 296 + f. Let 0 + 8\/9*g**2 + u*g + 4\/9*g**3 = 0. Calculate g.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1572065*q**5 - 84*q**2 - 4624*q wrt q.\nAnswer: -94323900*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from huguuiuig?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-142 + 72 - 126)*(s + 3*s - 2*s)*(3 + 0 + 1)*(-2 - 2 + 1).\nAnswer: 4704*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 + -49 - ((-6 - 1) + 3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r - 4*r = 36. Calculate the greatest common factor of 9 and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-144)*(885960\/15)\/46.\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -3*m - 6. Let j(t) = -54*t + 27. Let f(k) = -k + 1. Let n(b) = -45*f(b) + j(b). Let y(v) = -6*n(v) + 17*x(v). What is the derivative of y(s) wrt s?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -2*m**3\/9 - 11120*m**2\/9 - 441752*m\/9 - 279680\/3 = 0?\nAnswer: -5520, -38, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2586 = 2*d - d + 5*a, -5*a + 5187 = 2*d. Let q = d - 652. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/14)\/((-620)\/(-868)). What is the second biggest value in -4\/7, w, 2, 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 9 + 5 + 7*g - 8*g. Let z(l) = -3*l + 11. Let p be z(1). What are the prime factors of c(p)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 11 = 2*j. Calculate the remainder when j is divided by (6\/4)\/(5\/10).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d + 750?\nAnswer: 75d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -58\/155331 and 59\/5940?\nAnswer: 3106620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -4\/5, 3, -3\/5, 21\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*z - 3*p, 9*p - 7*p = -z. Let a(i) = i**3 - 8*i**2 + 14*i - 1. Calculate a(z).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 300322321120 + -3?\nAnswer: 300322321111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 (base 8) in base 12?\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - 3\/(-3))\/1. Let x(i) = 235*i**2 - 3*i + 2. Let u be x(1). Suppose -r*j = -5*j + u. Is 13 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9898.009994 + -9898. Let m = -3 + 3.01. Let t = m - y. Round t to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27 + -13. Let o = w - 8. Let l = o + -1. Which is the third biggest value? (a) 1\/2 (b) l (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3*sqrt(24))\/sqrt(12) + sqrt(2) - sqrt(2)) + sqrt(2) + sqrt(2) + 2 + sqrt(2) + 2)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n + 3 - 93. Suppose b = w, -3 + n = 3*b + 2*w. Factor -70*o**3 + 151*o - 115*o - 168*o**2 + 193*o**3 + 73*o**b.\nAnswer: 4*o*(7*o - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 - -98.274983.\nAnswer: 98.774983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - -4) + 0 + 1. Suppose 0 = 2*n + 3*n - 5, p = z + 2*n. Differentiate 2 - z + 3*h**3 - 3*h**3 + 3*h**4 with respect to h.\nAnswer: 12*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43165701 plus 0.00668?\nAnswer: 43165701.00668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from zmmmmmmmmzmm.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (q**2 - q**2 + 2*q**2)*(-5 + 5 + 3) - 2*q**2 + q**2 + 3*q + 4 - 2 + 3*q**2 - 6*q**2 - 6*q**2 as k*q + d*q**2 + f and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -4, 3, -1, -4.6, -0.6, 0.\nAnswer: -20, -4.6, -4, -1, -0.6, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35*s + 96*s - 43*s + 14)*(6 - 2 - 2 - 3*s**2) + 0*s**2 + 2*s**3 + 0*s**2 + (-3 + 2 - 1)*(-s**3 + 2*s**3 + s**3).\nAnswer: -56*s**3 - 42*s**2 + 36*s + 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 5*z - 6, -36*x = 3*z - 35*x - 5. Solve 116*t = k + 114*t + 4, -4*k = z*t - 32 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5083.926 rounded to 0 dps?\nAnswer: 5084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (((-299)\/26)\/23)\/(3\/6)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.2 - 0.3. Suppose -4*v - u + 116 = 0, -5*u + 8 = -2*v + 44. Which is the biggest value? (a) v (b) y (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 14) in base 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/27))**(11\/6)*(v**(3\/5)*v)\/v**3 assuming v is positive.\nAnswer: v**(-512\/405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10011000010101000 (base 2) to base 6.\nAnswer: 1401024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 11) + (6 - 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w - 54 = -89 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i + i + 5*i)*(4*i**4 - 683*i - 4*i**2 + i**2 + 680*i).\nAnswer: 8*i**5 - 6*i**3 - 6*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -7*t**2. Let o(m) be the third derivative of -m**6\/360 - 5*m**4\/12 + 11*m**2. Let g(d) be the second derivative of o(d). Give v(g(w)).\nAnswer: -28*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2480 + -2475. Calculate the highest common factor of v and 845.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.073827 to two dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -4. Suppose -2*y - 26 = g*k + 2*y, 0 = -4*k - 2*y - 48. Let c be (-16)\/3*(-3)\/k. Which is smaller: 0 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -9*v**2 + 7*v. Let b(o) = -4*o**2 + 3*o. Let x(z) = -7*b(z) + 3*f(z). Let y(p) = -18*p**2. What is y(x(n))?\nAnswer: -18*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 + 51*o + 0*o**2 - 55*o. Determine y(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -28 + (13 - (-12 - -20))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 1 + sqrt(700) + sqrt(700) + sqrt(700) + (1 + sqrt(700) - sqrt(700) - sqrt(700))**2 + 3 + (sqrt(77) - -4*sqrt(77)*2 - sqrt(77))\/sqrt(11)*-1.\nAnswer: 2*sqrt(7) + 700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 170823 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 978.57 + -978.7. Sort 0.5, w, 702 in ascending order.\nAnswer: w, 0.5, 702","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -1 - (-4 - (1 + 2))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 4*m. Let k(v) = -5*v**2 + 1. Give a(k(z)).\nAnswer: -20*z**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74 = 34*q - 31*q - 2*n, -21*q - 27*q = -47*q + n + 42 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*p**2 - 9*p**2 + p**2 + (-2 - 2 + 9 + (-2 + 2 + 1)*(-1 + 2 - 3))*(3*p**2 + 6*p**2 + 0*p**2) in the form c*p + f*p**2 + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23488 and 1784.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence plp when three letters picked without replacement from {l: 13, x: 3, p: 3}?\nAnswer: 13\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (2\/27)\/(-7 + (-82)\/(-14)) and 133\/12?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000281521 to 5 dps.\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 - 7*q - 6. Let b be ((-12)\/(-2 - 0))\/(771\/1028). Calculate u(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x - 19 = 11. Let w(g) = -4*g**3 + 2*g**2 + 6*g - 5. Let m(i) = -6 - 3*i**3 - i + 2*i**2 - 2*i**3 - i + 9*i. Give x*m(s) + 6*w(s).\nAnswer: s**3 + 2*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8 + 5)*(-23)\/3. Let f(y) = 30*y**2 + 2*y + 9 - a*y - 31*y**2. Let d be f(-9). What is the highest common divisor of d and 78?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*y - 3492 = -122*y - 254*y for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -54*n**3 + 6098*n**2 + 452*n.\nAnswer: -2*n*(n - 113)*(27*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -4*p**2 + 5*p - 1. Let f(h) = -7*h**2 + 9*h - 2. Let a(i) = -i**3 - 7*i**2 - 9*i - 6. Let t be a(-5). Determine t*s(w) + 6*f(w).\nAnswer: 2*w**2 - w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 + -19. Let k be ((-3 + 3)\/(-3))\/(j + 0). Do k and -1\/18 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*t + 48*t + 3 + 22*t - 3 + 0*t + 5*t + t + (-t + 3*t + t)*(2 + 0 + 0) in the form k*t + b and give k.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 14236 or 14238?\nAnswer: 14238","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1853 (base 14) in base 15?\nAnswer: 1475","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 - 7*l + 9. Let j be i(4). Let v be j\/(-501)*-338 - (0 + -2). Which is smaller: v or 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 94\/229 + -26185\/11908. Calculate the common denominator of -121\/12 and x.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 577 = 5*r - 218. Suppose 0 = -b + 4*b - r. Is b a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (7 + -28 - (7 + -2 + -11)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -12*g**5 + 5*g**4 - 5*g**2 - 9*g. Let w(i) = 18*i**5 - 7*i**4 + 7*i**2 + 13*i. Let p(c) = 7*k(c) + 5*w(c). Find the second derivative of p(f) wrt f.\nAnswer: 120*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*(l**(-1\/2)*l)\/l*l)**(-4\/27)\/(l**(-2\/7))**(-4\/25))**(14\/3) assuming l is positive.\nAnswer: l**(-844\/675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 12529?\nAnswer: 50116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*t - t - 18 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*n + 3*n + 3 + 8*n to the form l*n + b and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(121)*2*-3)\/(sqrt(99)\/(sqrt(441)*-2)))**2.\nAnswer: 1241856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 - 3\/(-6) - 3. Which is the second smallest value? (a) 4 (b) -15 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 673100 is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -8 - -1 - (2182 + -2221)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3049869?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + 1)\/(21 + 496\/(-24)). Solve -6*w + 10*w = -h*j + 14, 3*w - j - 17 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f = 5*f + 42. Calculate the remainder when (-3 - 219\/9)*-3 is divided by f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/136 in 5.1, 148, -5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*2*(-58)\/145?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/6 (b) -9\/8 (c) -2\/7 (d) -1 (e) 25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -3*f + 2*x + 8, -4*f + x + 13 = 0. Let u = 4 - f. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.003 + 3.928. Let y = j - -0.075. Let v be -3*(-5)\/(-150) + 4\/(-10). Which is the biggest value? (a) v (b) y (c) -0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9.4685 + 0.0685. What is the nearest to -2\/7 in -1\/4, v, -1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of -20*v**3\/3 + 82. Let s(y) = -y + y + 2*y. Calculate s(t(k)).\nAnswer: -40*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 919\/5276 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 3*w - 14 = 0. Let b = w + 31. 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 be (0\/(-1))\/(6\/6). Suppose -3*f + u*f - n + 27 = 0, 3*f - 5*n - 27 = 0. Suppose -3*p - 12 = -f*p. Solve 5*z - p*z = -3 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3126 divide 23388732?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 PM and 11:04 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 18*v**2. Let i(b) = 7*b**2. Calculate i(d(n)).\nAnswer: 2268*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 + 17*y + 30. Let m be l(-15). Suppose -5*x + 10050000 = -m*x. Round x to the nearest 100000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (-35 + (-30)\/(-5670)*4907)\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 PM and 1:22 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -1 - 0) + 7 + -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 55ba (base 15) in base 12?\nAnswer: a627","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 2*x = -941556 - 250434, 5 = -x. Round u to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 295 times 4\nAnswer: 1180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jwuct. Give prob of picking 1 t and 1 j.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 + 286*v**2 - 1692*v + 3355. Give n(280).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 480299 and 119.\nAnswer: 57155581","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 4:07 AM?\nAnswer: 6:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(2))**2 + -2)*5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (295\/59)\/((-5)\/(-3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 - 7*g**2 + 2. Let u be l(-7). Solve 2*i = 6 - u for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 276545 (base 11) to base 15\nAnswer: 8856e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/93500 and -107\/7480?\nAnswer: 187000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -6*n + 86. What is the units digit of m(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4859356.3 to the nearest ten thousand.\nAnswer: 4860000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -64, -160, -316, -562, -928?\n\"Answer: -5*i**3 - 61*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -147, 5, -2, -5 in descending order.\nAnswer: 5, -2, -5, -147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1 from 3.049.\nAnswer: 3.149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 640514.2*-0.83.\nAnswer: -531626.786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -10\/13 smaller than 20863?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = -12 + 3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*b - 4*m - 10 = -32, b - 3*m - 5 = 2*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-7\/6)\/g*g\/g**(-3\/4))\/(g**(11\/2))**39)**(-2\/117) assuming g is positive.\nAnswer: g**(2579\/702)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1722 - 3357 = -208*p + 1197 + 2784 for p.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.2? (a) 1\/65 (b) -1\/6 (c) -3\/8 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -4*j + 1. Let y be a(-1). Let q = y + -7. Let m = q + 7. Solve -m*o + 2 = -3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -4*p**3 - 6*p**2 - 3. Let t(r) = -3*r**3 - 5*r**2 - 2. Give -2*f(n) + 3*t(n).\nAnswer: -n**3 - 3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1643*l**3 - 3428 + 3428.\nAnswer: -1643*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*y**3 + 2*y**2 - 12844*y + 105225735 wrt y.\nAnswer: -6*y**2 + 4*y - 12844","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -2\/5, -1\/25, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1825683000 to the nearest 1000000.\nAnswer: -1826000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 + 5*u + 4. Let m be w(6). Let f be m\/((-21)\/6 + 3). Solve -f*p = -7*p + 4*g + 11, 5*p - 15 = 5*g for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1481354\/154315 + 0 + -3. Let n = -2\/4409 - x. Let i = 3493 + -38371\/11. What is the common denominator of i and n?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 PM and 12:23 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8190 to the power of 1\/2, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*h**5 + 0*h**5 - 2*h**5 + (2*h**3 - h**3 + h**3 + (-3 + 5*h**2 + 3)*(-5*h + 3 - 3))*(2*h**2 - 4*h**2 + 0*h**2).\nAnswer: 48*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.09 - 0.06. Let d = -1.03 + x. Sort d, 4, -0.2 in increasing order.\nAnswer: d, -0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 15\/(-3) + 3 - 0. Let g(n) = -n**3 - n**2 - n + 2. Calculate the remainder when g(f) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 - 10.3268728058\nAnswer: -10.4268728058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 99*(-9)\/18*14\/(-735)*-7?\nAnswer: -33\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2913.988038 + -305.194578. Let t = 2609.241459358 - y. Let c = t + -0.448. What is c rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -63.6 - -8.88609874.\nAnswer: -54.71390126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -21, -29, -43, -63, -89?\n\"Answer: -3*x**2 + x - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 72610766, 72610765, 72610764, 72610763?\nAnswer: 72610762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 288299?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1981100 a multiple of 275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 15*o**3 - 7*o**3 + 3*o**3.\nAnswer: 11*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 150 and 24?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of 0 - 29*m**2 + 0*m - 1\/120*m**6 + m**3 + 1\/24*m**4 + 1\/10*m**5. Suppose 0 = 3*q - 0 - 18. Give o(q).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.285 to 0 decimal places.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 11 = a - 4*c, 3*a = -c + 32. Suppose a = -0*u + 3*u. Let k = -123 + 123.5. Sort u, k, 4, -11 in ascending order.\nAnswer: -11, k, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -6 - 3*(-1)\/(-3). Let c(r) = -3*r + 4. Let q be c(a). Solve -n = 4*n + q for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-6))\/((-6)\/45)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n + 211805 - 211805 + 17*n**2.\nAnswer: 17*n**2 - 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6366 * 3.\nAnswer: 19098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3221595 and 0.02.\nAnswer: -0.00644319","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*c + 2*c + 3*c)*((c + 3*c - 2*c)*(c + 1 - 1) + c**2 - 4*c**2 + 4*c**2 - 716*c + 716*c - 65*c**2) to f*c**3 + s*c + b*c**2 + g and give f.\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8276674823?\nAnswer: 173, 563, 84977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 2 + (0 - 3 + 2)*(-2 + 0 + 4))*(-2*o**4 - 4*o**4 + 19*o**4).\nAnswer: -39*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 627.326 milliseconds to nanoseconds.\nAnswer: 627326000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1645 divided by 47.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**4 + 3979*n**3 - 15903*n**2 + 11925*n.\nAnswer: -n*(n - 3975)*(n - 3)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*h + 141*h + 252 = 0 for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (120\/285)\/((-132)\/33).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15\/14 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 9 = -3. Let j = v + -6. Let i = -3.7 - 1.3. Sort 1, j, i in ascending order.\nAnswer: i, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - -31001223440?\nAnswer: 31001223433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 - ((-22)\/6 + 6\/(-18)). Suppose -8*q = b*q. Suppose 8*f - 3*f - 230 = q. Does 13 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1594 is divided by 310?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1 + sqrt(190)\/sqrt(10) + sqrt(152)\/sqrt(8) + 4)**2 + 2.\nAnswer: -83 - 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 404889?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 146554632?\nAnswer: 2, 3, 7, 29, 37, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1325664 divided by -4?\nAnswer: 331416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1529*r**3 - 2006 wrt r.\nAnswer: 4587*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyooooyfoy. Give prob of picking 4 y.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -187, 8, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2802 + 2c1b?\nAnswer: 419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1276453207 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19078942 divided by -35201.\nAnswer: 542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 + 18.5. Let g = 1.42 + f. Let p = 0.012 + g. What is p rounded to 2 decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 511651017 a multiple of 2662?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 460175979 to the nearest integer?\nAnswer: 772","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2050654 bigger than 2050653?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -43*v + 21*v**2 + 18*v**2 + 130*v + 29*v**2 + 1253 - 73*v**2 wrt v?\nAnswer: -10*v + 87","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -56, 5.8, -1.192?\nAnswer: 5.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/((63\/(-6))\/7). Suppose -20 - 2 = -s*b. What are the prime factors of b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -7 + -3 - (-1 - 2). Let q be a\/(-35) - 2\/5. Let y(o) = -o**2 + 2*o + 3. Let s be y(3). Which is bigger: q or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1508.24 centuries in millennia?\nAnswer: 150.824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3293228145428 + 3293228145428 + 19*r**2.\nAnswer: 19*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13450, -13480, -13510, -13540?\nAnswer: -13570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 4*h = 50, 5*n - h - 37 - 77 = 0. List the prime factors of n.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-63*(-2)\/15)\/((-12612)\/8408).\nAnswer: -28\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -17841*p + 8922*p - 7*p**2 + 3 + 8919*p as z*p**2 + u*p + o and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -199529 - -526718. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 42370456*q**2 - 1098326*q - 56.\nAnswer: 84740912","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 7. Let o = 12 + -21. Let w be 3 + (1*o)\/(-3). Which is smaller: p or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.273 + 142.727. Let p = 94 - t. Let c = -50 - p. Which is greater: c or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 8 = 4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 191413 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3312 divided by 8\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 - 22. Is 88 + d - 0 - -3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -92 - -34. Let v be 50\/6*1209\/(-155). Let j = h - v. Solve -j + 3 = 4*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 50\/425 + 87\/(-17). Let s(c) = -18*c**3 - 2*c**2 + c - 6. Is s(z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4071350903 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 384223 is divided by 109.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(288) + sqrt(288))**2*6 + sqrt(288).\nAnswer: 12*sqrt(2) + 6912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -2*d**2\/7 - 1469205328*d\/7 - 269820536977948448\/7 = 0.\nAnswer: -367301332","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zr when two letters picked without replacement from {r: 1, k: 1, z: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53757315 = -6*d - 53756877 for d.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.29693 - 0.00307. Which is greater: 221 or s?\nAnswer: 221","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 161 - 264. Is -103 bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + 3222?\nAnswer: 3214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - u + 400. Suppose 3*z - 382 + u = 0. Round z to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2054, -2112, -2170, -2228, -2286, -2344?\n\"Answer: -58*d - 1996","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of 61*p**4\/8 + 51*p**3\/2 + 30*p**2 + 4. Differentiate z(x) wrt x.\nAnswer: 183","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44555 - 7209 = -982*j - 6592 for j.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/18230 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -0.2, 3, -1561, 47\/2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3540808 by 4.\nAnswer: -885202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -29764183\nAnswer: 1\/29764183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7003.133km to nanometers.\nAnswer: 7003133000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 + 421*y + 27793. Calculate p(-82).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 421791 is divided by 47?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (16 - (-11 + 17)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + 0. Let i = -5.4 + y. Let r = -32 - -30. What is the smallest value in r, i, 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 436*o - 1325*o - 1924 = -41040 for o.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198*p - 1740 - 407 = 2803 for p.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -112712 divided by 73\nAnswer: -1544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1460, -2863, -4268, -5675, -7084?\n\"Answer: -r**2 - 1400*r - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 13\/7, -2, -1.98, -1\/9, -3?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167 is divided by 54?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 956\/13 + 2\/13*c**3 - 482\/13*c - 476\/13*c**2 = 0.\nAnswer: -2, 1, 239","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30.9264 + -0.0864. Let a = 31 - i. Let x = a - 0.06. What is the closest to x in 2, -0.3, -4\/9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 96512?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2 + sqrt(1100)) + (sqrt(1100) - sqrt(1100)*3) + -1 + -4.\nAnswer: -10*sqrt(11) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 329492*a**4 + 4*a**3 + 5*a - 22663747?\nAnswer: 1317968*a**3 + 12*a**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 4, -2, 5\/3, -5328?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 181425 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-423)\/(-7) - 1208\/(-2114)) + -22?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 5 - 1. Let n = -1554 + 1570. Let r = n + x. What is the highest common factor of 34 and r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93366 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/5 + 251\/5. Is 2 a factor of (-981)\/6*(-4 + q\/15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i - 25 = 10*i + 5*r, -3*r = 4*i + 26 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 185 - 26*t**3 - 185 + 24*t**3 + 23*t**3 - 24*t**3.\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 238870 * 0.392.\nAnswer: 93637.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(32)*-2 + -3 + -2*sqrt(2) + -2.\nAnswer: -10*sqrt(2) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -158 (base 14) to base 7.\nAnswer: -541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/6 - 22*d + 726.\nAnswer: (d - 66)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 114 + -148. Let q = -29 - s. Let v(x) = x**2 - 3*x - 1. What is v(q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13)\/(-39)*24*-1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1402\/75 + -404\/25. Find the common denominator of l and -7\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 6 (b) 5\/3 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17265 - 4806. List the prime factors of u.\nAnswer: 3, 4153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 278*j - 144*j = 139*j + 55 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5478912ml in litres?\nAnswer: 0.0005478912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5930.\nAnswer: 2, 5, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + -3. Suppose 19*l = 15*l. What is the third derivative of l + a - 2*w**2 - 5*w**4 + 6*w**2 wrt w?\nAnswer: -120*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, k: 1, j: 2, y: 1, z: 1, d: 1}. What is prob of sequence dey?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {l: 9, y: 10, h: 1}.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3915507?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-2256)\/46 + 668\/23 + -29?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-54)*(820\/1968)\/(5\/(-4))?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40608 and 50760?\nAnswer: 203040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10524152.\nAnswer: 2, 1315519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18975 = 270*h - 506*h + 259*h. Is 25 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1\/7, -3 in decreasing order.\nAnswer: 2, 1\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 + -1053.\nAnswer: -1053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**6)\/c**(1\/15))**(6\/5) assuming c is positive.\nAnswer: c**(208\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r - r - 3*r + (-29*r + 24*r + 17*r)*(0 + 0 + 1))*(-2*r**2 + 2 - 2) + (-2*r**2 + r**2 + 0*r**2)*(3 - 3 - r).\nAnswer: -21*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -127 (b) 5\/2 (c) -3 (d) -7 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -101.\nAnswer: -1\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + g + 108675 = 0. What are the prime factors of g?\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + 0. Let l = -1 + a. Suppose 26 = i - 5*b, 0 = b + 4. What is the remainder when i is divided by l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 995093 = 21*d + 578346 - 3134206. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + s = -4, 0 = 5*r - s + 5*s - 18. Let q(v) = 6 + 11 + 13*v - v**3 - 3*v - 8*v**r. Does 6 divide q(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 + -21. Let s = -6.99999976 - j. Round s to 7 decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 4.698892 minutes?\nAnswer: 281933520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -104912608 + -0.896375.\nAnswer: -104912608.896375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 - 7*j. Let b be z(-6). Let h = b + 3. What is the remainder when 34 is divided by h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 27 (b) -3 (c) -0.1 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, -3.964, -1 in ascending order.\nAnswer: -3.964, -1, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 246\/(-205)*(-5)\/(-3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -693 + -199. Let s = l + 907. Calculate the lowest common multiple of s and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2750120 is divided by 1375052.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -144, -0.5 in decreasing order.\nAnswer: 0.5, -0.5, -144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -225?\nAnswer: 675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8168?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -325 + 333 = 2*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 721*m = 647*m - 962 for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 11\/6 + 27\/162. Solve -x*h + 35 = 37 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of -h**6\/2 + 12*h**5\/5 + 3*h**4 - 22*h**3 - 9*h**2\/2 + 54*h + 7. Find a such that m(a) = 0.\nAnswer: -2, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13508466337 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 + 2*f**2 - 2*f + 2. Let w = 1 - -5. Let j(h) = -7*h**3 - 13*h**2 + 13*h - 13. What is w*j(m) + 39*i(m)?\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 2631?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -5449*x**2 + 16352*x**2 - 5452*x**2 - 44*x - 5 - 5453*x**2 as p*x + b*x**2 + l and give p.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(96) + sqrt(96))\/sqrt(4))\/(sqrt(48)*-5)*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1903?\nAnswer: 11, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -37 (b) 0.5 (c) 15 (d) 2\/5 (e) -1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 2765 = -2*d, -2*d + 2115 = 4*k - 115. Suppose 3*j - 420 = -2*j. Suppose -k = -3*a - j. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2. Let j(m) = -3*m + 37. Let f be j(12). Let l(c) = -c + 1. Calculate f*v(q) - l(q).\nAnswer: -q**2 + q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1075 and 318375?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o**3 - 17*o**2 + 40*o + 31. Calculate k(-11).\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 214\/(-1391)*5512\/(-16)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*y + 57*y - 21*y)*(-14*y - 23*y + 9*y)*(-3 + 1 + 0)*(y + 3*y - 2*y).\nAnswer: 2464*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -14*x**3 + 6*x**2 + 16*x + 7. Let c(n) = 2*n**3 + 14*n**2 + 14*n + 9. Let t be c(-6). Is 12 a factor of w(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -5) + -1 - -3 - 14 - 6\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2731 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2521112 or 2521152?\nAnswer: 2521152","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 11*h - 77. Let c be x(7). Solve -d = 5*a, -a + c*a = -4*d + 21 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 98 - 83. Let m be (((-162)\/60)\/(-9))\/(18\/d). What is the nearest to m in -15\/2, -1, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6614?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2744 = -234*j - 158*j. Sort -12, j, 24.\nAnswer: -12, j, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8358.608ml in litres?\nAnswer: 8.358608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 328.0726 litres to millilitres.\nAnswer: 328072.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 - 6 = w. Let r(s) = -s**3 + 8*s**2 + 13*s - 4. Let q be r(w). Let c = -13 + q. What is the remainder when c is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 + -4)\/(35\/20 + -2). Let j(y) be the first derivative of 5*y**2 - 5\/2*y**d + 2 - 4\/3*y**3 + 4*y. Let j(s) = 0. What is s?\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/3)\/((-1764)\/378)?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2*g**3 + 238*g**2 - 696*g + 139. Calculate s(116).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-122*o + 21*o - 14*o)*(-2 - 3 + 7) + (-4 + 3 + 0 + (0 + 2 - 3)*(3 - 3 - 2) + 3 + 2 - 3)*(5*o - 1 + 1) as z + b*o and give b.\nAnswer: -215","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 j when two letters picked without replacement from {x: 6, y: 3, j: 3, h: 7}?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.0633 + -0.0433. Put -0.3, 4, 5\/6, o in ascending order.\nAnswer: -0.3, o, 5\/6, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of -c**4\/20 - 28*c**3 + 846*c**2\/5 + 390*c - 2. Solve f(k) = 0 for k.\nAnswer: -282, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -10*i + 32. Calculate p(5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o + 4*o - 4*o + 4 - 5*o**2 - 4*o. Let s(g) = -g + 20. Let j be s(4). Suppose j = 4*r + 36. Let t(v) = 4*v**2 + 5*v - 3. Give r*d(i) - 6*t(i).\nAnswer: i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -105, -102, -97, -90, -81, -70, -57?\n\"Answer: p**2 - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -7*i**2. Let r(o) = 4*o**2 - 2*o + 2*o. Give b(r(f)).\nAnswer: -112*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13457077*w**4 + 3*w**3 - 370777921.\nAnswer: 53828308*w**3 + 9*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 43 = 3*z, 0 = 5*z - 2*g + 4*g - 61. Calculate the remainder when z is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12209 is divided by 518.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 5\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -48.6 rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -2\/7, 0.011?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4362, 17448, 39290, 69888, 109242, 157352, 214218?\n\"Answer: 4378*q**2 - 48*q + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*k**5\/5 + 31248*k**4\/5 - 3767097*k**3\/5 - 11489419*k**2\/5 - 2310447*k - 772245 = 0. What is k?\nAnswer: -1, 1965\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 428?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(2\/7)\/((-60)\/(-168)).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10010011101111101 (base 2) to base 6.\nAnswer: 1342113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*n - 59*n**4 + 269*n**4 - 5*n**2 - 3*n + 334*n**4 - 129*n**4 to a*n**2 + l*n + z*n**4 + b + x*n**3 and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 57*t. Let l = 11 + -9. Let n(p) = 17*p**2 + 13 - 4*p**l - 7*p**2 - 2. Let k(c) = -c**2 - 2. Let w(b) = 11*k(b) + 2*n(b). Determine w(y(j)).\nAnswer: 3249*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 1\/3, 3, 2\/13, 13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1028508.04+-6872\nAnswer: -1035380.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (47 - 32 - 28)*(-268 + 184 - 254)*(-2*i + 4*i - i + 1) to the form m*i + h and give h.\nAnswer: 4394","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1383.58 and -5.\nAnswer: 6917.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 12*y - 8*y. Let j(u) = -u - 2. Let t be j(5). Let c(v) = -v**2 - 9*v - 8. Let h be c(t). Calculate the greatest common divisor of h and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -4 + ((sqrt(171)*-2)\/sqrt(9))**2.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k**2 - 3*k + 4. Let j(l) = -4*l + 61. Let p be j(16). Determine u(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 - 14*y - 40 - 17*y + 13*y. Determine o(-16).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 370450441 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1788660 - -1788660.1210051. Let l = -0.121 + v. What is l rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x - x = -4*t + 3, t + 6297*x - 10 = 6305*x for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(5*(3*(sqrt(343) + 1) + sqrt(343) - (sqrt(343)*2 + 5)) + -3).\nAnswer: -65 + 350*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 196431 is divided by 196424?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-1 + -1)\/2 + 28 and 9.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 11*r + 213. Let i be k(-26). Let d = 428 + -255. Let l = d + i. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 17*f**2*p + 12*f**2 - f*p - 2*f wrt p.\nAnswer: 17*f**2 - f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -66 + 165733.82772.\nAnswer: 165667.82772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xqyjxyjjjjjjypqyx. Give prob of sequence qyq.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46049?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9690 a multiple of 255?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -61 and -3682?\nAnswer: 224602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -8*d**3 + d + 1. Let i be y(-1). Let h be (1\/3)\/(i\/96). Solve 0 = h*f + k, -f - k - 5 = -2*k for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.081 rounded to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10.1 - 10.1. Let a = 61 - 66. Let h = a + 2. What is the nearest to 1 in -3\/5, t, h?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-29*(-58)\/4205)\/((-4)\/15))\/3\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 + -148. Let d = 344 + k. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -12*v**3 - 3*v**2 + 3*v - 3. Let l(g) = 12*g**3 + 4*g**2 - 4*g + 4. Let p(r) = -r**3 + 4*r**2 - 5*r + 5. Let c be p(2). Determine c*l(z) + 4*m(z).\nAnswer: -12*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ktrtrttrtnrrtrtnkrt. What is prob of picking 2 n and 1 r?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -87*p. Let g(r) = 2944311*r + 6*r**2 - 2944311*r. Give g(a(d)).\nAnswer: 45414*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 66 (b) 1\/10 (c) -3\/5 (d) 6 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 4*z + z - 30 = 0, 0 = -8*w - 4*z + 116 - 68 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1801853 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 330 divided by -128.\nAnswer: -165\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (2\/1)\/(18\/9)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 8 + 4 = 0. Calculate the remainder when 11 is divided by q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -8*s**3 + 5*s**2 + 5*s - 5. Let c(w) = 9*w**3 - 6*w**2 - 6*w + 6. Suppose -8 = 2*z + 2. Let r be z\/(-20) + (-42)\/8. Determine r*c(x) - 6*h(x).\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of 5*y**4\/6 - y**2\/2 + 5*y. Let q be -2 - 2*3\/(-2). Let r be h(q). Solve r = -3*l - 3 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 + 15*z**2 + 8*z - 24. List the prime factors of a(-14).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u**3 - 5*u**2 - 31*u - 8. Is q(7) a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 102263461?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 53981 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*p + 57*p + 14*p - 84 = 93*p. Factor -2\/7*b**3 - 44\/7 - 48\/7*b**p - 90\/7*b.\nAnswer: -2*(b + 1)**2*(b + 22)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3655089 is divided by 1113?\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10603 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 + -1)\/((-2)\/(-6)). Suppose 2*y = -s*y. Let m be 0 + 1 + 14\/(-8). Which is greater: y or m?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-6 + -3 + 11)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1756 - -3154. What are the prime factors of n?\nAnswer: 2, 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20780 divided by 6.\nAnswer: 10390\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1585 or -1608?\nAnswer: -1585","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -167742.3 and 28?\nAnswer: -4696784.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 17 = 5*o. Suppose 10 = -5*z, -13 = -o*w - z + 5. Let r(l) = -l**2 + 23*l + 1510. Let q be r(52). Solve w*b + q = 27 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7984786 is divided by 637.\nAnswer: 628","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + 425 - 453. Let l be (-22)\/4 - (-6 - u)\/26. Put l, 3, -24 in ascending order.\nAnswer: -24, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*p - 17*p + 912. Calculate the remainder when p is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -17 (b) -2\/15 (c) -5 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-6))\/((-2)\/(-6)). Let u be (-5 + o)\/(3\/(-3)). Let x(l) be the second derivative of l**5\/20 - 7*l**4\/12 + 2*l**3\/3 + 7*l**2\/2 + 509*l. What is x(u)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 + 14. Suppose -2*n = 329 - 353. Calculate the remainder when u\/9 + 560\/12 is divided by n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 + 6*o**2 + 130*o + 90. Calculate d(15).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 838.\nAnswer: 2, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -802.7 + 803. Sort 2, i, -2, 1.4 in ascending order.\nAnswer: -2, i, 1.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36551478?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24233414.\nAnswer: 2, 12116707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyyyyyyvyyvkj. What is prob of sequence kyvv?\nAnswer: 11\/16380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 + 6*d**2 + d + 4. Let k(u) = -u - 6. Let a be k(0). Give l(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -6652*j + 12221. List the prime factors of m(-5).\nAnswer: 45481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -5*o. Let q be z(-1). Let s be 17\/q - (-10)\/(-25). Suppose 2*w - s = 5. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 151181 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -4, -3 in increasing order.\nAnswer: -8, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 77208564 * 0.3.\nAnswer: 23162569.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 10314121 (base 8) in base 4?\nAnswer: 20121201101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 8*g = 23*g - 565, 2*m + 6*g + 46 = 13*g - 6*g for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 171524 to the power of 1\/3, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-30) + 602\/210. Suppose -5*i - 26 = 4*y, -v*y + 5*i = i + 4. Which is the nearest to 0.02? (a) 0.3 (b) y (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1887*i**2 - 2*i + 6*i - 1880*i**2)*(i - 2 + 4 + 2*i) as w + t*i**2 + b*i**3 + x*i and give t.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 7*q - 2. Let v be a(6). Let n = -38 + v. Let s(d) = 5*d**2 + 4*d - 3. Let o(h) = h - 1. Let p(k) = -2*o(k) + s(k). Calculate p(n).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 745534002 to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 + 25*u**2 - 29*u - 84. Let b be z(-26). What is the remainder when 753 is divided by ((-21)\/b)\/(26\/104)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t**3 + 92*t**2 - 508*t + 103. What is l(-51)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -359189*w + 208*w**3 + 359189*w.\nAnswer: 208*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 3*s = -14, -9*z + 6*z - 4*s + 42 = 0. Calculate the greatest common factor of 98 and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 AM and 4:17 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of 3*s**5\/20 + 20*s**3\/3 + 6*s**2 - 31*s - 3. Let k(u) = 8*u**2. What is n(k(a))?\nAnswer: 576*a**4 + 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2369*q**3 - 207*q. Let r(b) = -23*b**3 + 2*b. Calculate -2*k(d) - 207*r(d).\nAnswer: 23*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5096\/(-156) - 780\/(-117).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 5*l + 30, -2*q + 150 = 3*q - 3*l. Let r = -27 + q. Suppose 1135 = r*o - 4*h, -70 = o - h - 448. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -110.8 + 110.72. Let t = 0 + -0.12. Let y = j + t. What is the third smallest value in y, 1, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*c - 4*o - 2588 = 36*c, 2585 = 5*c - 5*o. Calculate the least common multiple of 3 and c.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.049, 0.4, -18?\nAnswer: -0.049","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45)\/108*(-16)\/10?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 - (-5 + 1 + 2). Let w be (-495)\/885*(0 + 4\/6). Let r = w + 3864\/10679. Is l at least as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-11)*(-54)\/(326268\/(-1166))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 - -0.3. Let p = 632\/5 - 127. What is the nearest to -1\/4 in p, -1\/2, w?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - z + 3 = 0, 0 = 3*w - 5*z + 2 - 33. Let s = w - 0. Solve -s*y - 20 = -6*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 69\/2 - 34. Let u = -11977\/11 - -1089. Which is the biggest value? (a) v (b) 3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 158082*5.\nAnswer: 790410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 2 x, and 1 b when four letters picked without replacement from rtxrttttbxxcxxccx?\nAnswer: 9\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -3*p**4 - 2631*p**3 - 2628*p**2 = 0.\nAnswer: -876, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 8, r - 7*s + 3*s = 498. Do 0.1 and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/10*2870\/1722. Put -29, -18, n, 2\/17, -0.1 in descending order.\nAnswer: n, 2\/17, -0.1, -18, -29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 4*p. Let m(j) = 28338*j**2 - j + 4. What is m(g(d))?\nAnswer: 453408*d**2 - 4*d + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.02 - -2. Let t = 0.38 - i. Let m be (3\/30)\/(3\/(-12)). Which is the closest to 2\/7? (a) t (b) m (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/(-6))\/(2\/(-6)). Suppose 8*u - 13*u + 29 = 3*z, 5 = -z + 2*u. What is the greatest common divisor of z and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14856004 is divided by 3014.\nAnswer: 3012","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 283536 by 6.\nAnswer: 47256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 23 = -0*k. Let s = -12 - k. Calculate the remainder when 20 is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 5*y + 3 - 5, -5 = -5*b + 5*y. Let j be b\/(-1) - (-33 - 6). Let w = j + 26. Is 16 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24480763 to the nearest integer?\nAnswer: 4948","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*m + g - 28, 3*g + 5 = 14 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2898 - -6107. Suppose 2*n - 5228 = -5*u + 111, 0 = -3*u - 4*n + r. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -143 + 75. Let h = y + 73. Let v be (-4)\/(-24) + (-2)\/(-4). Which is the closest to 1\/3? (a) 3 (b) h (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 48 - -19. Let x(v) = 37*v**2 + 32*v**2 - j*v**2. Let a(f) = -10*f - 5. Let r(i) = -21*i - 9. Let y(c) = 9*a(c) - 5*r(c). Calculate y(x(d)).\nAnswer: 30*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2385 (base 10) to base 16.\nAnswer: -951","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 + 24533192297\nAnswer: 24533192297.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of g**3*t**2*v + 2978*g**3*t**2 + 2*g**3*t*v + 28*g**3 + 38*g*t wrt t?\nAnswer: 2*g**3*v + 5956*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 36 = -4*g. Let t = 30 - g. Suppose -4*u - 20 = u, u = 5*i - t. Let r(f) = f - 2. What is r(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 + 12*q**2 + q + 3. Calculate p(-12).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7.1 + -231.1. Let k = 224.000111 + w. Round k to five decimal places.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 - (-4 - 51) - 62.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.023871 + -0.024. Round q to 5 dps.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -0.1, -0.172, 1\/2, 2\/15?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24b6b1 (base 15) to base 11.\nAnswer: -aa2261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 200, 752, 1662, 2936, 4580?\n\"Answer: l**3 + 173*l**2 + 26*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5321918 is divided by 1764.\nAnswer: 1694","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-1)\/d**2*d**2\/(d*d**(-4\/7)) assuming d is positive.\nAnswer: d**(-10\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5384928655 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 3004 = -l + 2*l, -l + 4 = 0. Let d = -2957\/4 - o. Calculate the common denominator of d and 79\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 PM and 7:50 PM?\nAnswer: 294","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of 624*q**6\/5 + 1213*q**2 + 2364*q. Differentiate g(b) wrt b.\nAnswer: 14976*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -391 - -394. Let z(u) = 4532*u - 59. Is z(q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -3*p - 4. Let s be j(-2). Suppose 7*a - 124 - s = 0. Calculate the lowest common multiple of a and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16764, -33586, -50408?\nAnswer: -67230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3 + 7694476*b**2 + 7694478*b.\nAnswer: -2*b*(b - 3847239)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 35 = -5*z, -26*z + 27 = 29*s - 24*s for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 2 d, and 1 n when four letters picked without replacement from {v: 3, n: 1, b: 2, d: 4, l: 2, w: 2}.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-165)\/55)\/(12\/88).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75 (base 11) to base 16.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r**2 - 14*r - 9. Let x(p) = -3*p**2 - 27*p - 19. Let n(z) = -5*a(z) + 3*x(z). Suppose -4*w - 3*b = -0*w + 11395 - 11416, -b = 9. Calculate n(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 + 7*c - 2. Let f(q) = 2*q + 27. Let i be f(-11). What is m(i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*y - 60 + 4*y - 4*y + 3*y to q + r*y and give q.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 69*s + 4. Let w(d) = -66*d - 5. Determine -6*v(x) - 5*w(x).\nAnswer: -84*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6666 is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(2) + (sqrt(72) - (sqrt(72) + -2)) - (sqrt(32) + 1 - sqrt(2)) - (2 + -2*sqrt(2))*5)*-1)**2.\nAnswer: -1296*sqrt(2) + 1881","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 - 11*t - 511*t + 965*t to the form b*t + g and give b.\nAnswer: 443","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 182432?\nAnswer: 2, 5701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30331423 is divided by 481451.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 PM and 1:39 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 - 5*f + 1. Let d be y(-4). Let r = -1802 - -1853. Suppose r = w - d. Is 8 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 22 = -w - m, 19 = 2*w - 3*m. Let j(o) = o + 7. Let z be j(6). Suppose -17*d + z*d = -64. Which is greater: d or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -180 - -183. Let s(c) = -c**3 - 18*c**2 + 18*c - 18. Let d be s(-19). Sort -5, d, -1, m in increasing order.\nAnswer: -5, -1, d, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 + 11*j**2 - 14*j + 6. Let q be k(7). Let h = q + 121. What are the prime factors of h?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -4. Suppose -8 = -3*h - h. Let j be s - h - 96\/(-51). What is the second smallest value in -1, j, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - -6294?\nAnswer: 6293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s + 1. Let o(g) = -6*g + 5. Let y(p) = -10*n(p) + 2*o(p). Let d = 5 - 3. Let q(h) = 0*h**d + 2*h**2 - h**2. Determine q(y(l)).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 21130 (base 4) in base 7?\nAnswer: 1522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -68 + 80. What is the tens digit of (674\/(-8))\/((-3)\/a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*c + 6*c + c**3 - 2*c to the form k + f*c**3 + m*c + r*c**2 and give m.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-5\/11))\/(n\/(n**(15\/7)\/n)) assuming n is positive.\nAnswer: n**(123\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -3813.38 to the nearest integer.\nAnswer: -3813","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5868 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 290 and 74356.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24 + -28. Let c be (3\/z)\/(9\/(-24)). Solve -u = c*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 - 7*v**2 - 7*v - 9. Let u be p(8). Let y = u - -12. Solve -4*g = 5 + y for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/2*(9 + 0). Suppose 8*v + 72 = p*v. Is v a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9795 - 6202. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 3*i**3 - i**2 + i + 1. Let f be u(2). Suppose 27*w - 6*w = 0. Solve 0*d - 4*d - 3*z + f = w, -2*d + 9 = z for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -10. Are -2 and l unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - (-5 - (-16)\/3)*-9. Solve 2*f - 14 = -5*n, 4*n + 0*n - 2 = s*f for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/22)\/i)**(-35\/2)\/(i\/i**(-17)*i*i)**25 assuming i is positive.\nAnswer: i**(-21265\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of -1\/6*s**4 + 6*s**2 + 1\/30*s**6 + 0*s + 0*s**3 + 1\/15*s**5 + 0 - 2\/105*s**7. Factor t(d).\nAnswer: -4*d*(d - 1)**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d + 9. Let y be g(5). Suppose 0 = -y*t + 6084 + 596. What is t rounded to the nearest 100?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -765, -1530, -2295, -3060, -3825, -4590?\nAnswer: -5355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 3 + 1. Let m(t) = t**2 + 3*t + 1. Let a be m(-3). Let f(h) = 0 - a - g*h - 1. Give f(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 721*f**5 - 7*f**3 - 23619*f**2.\nAnswer: 43260*f**2 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 546 and -40.\nAnswer: 506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 61*m - 365. Suppose 16 + 62 = 13*f. Let s be r(f). Let a be ((-2)\/(-93))\/(1\/3). Is a less than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/78 and -17\/2435418?\nAnswer: 31660434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5a1 + c9?\nAnswer: -4c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-120)\/(-280) + (-10)\/56.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 3*u - 276 = 0, 4*t + t = 4*u + 345. Solve q - 24*q + t = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 - -300. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00139061 rounded to five dps?\nAnswer: -0.00139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 3*u**3 + 3*u**2 + 6*u + 5. Let n(g) = 4*g**3 + 3*g**2 + 7*g + 6. Let z(k) = 3*i(k) - 2*n(k). Let q be z(-4). Let r = q + 78. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2936982556.\nAnswer: 2, 83, 89, 99397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1522470?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 6:14 AM?\nAnswer: 3:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g - 2. Let f(k) = -28*k - 50. Let p(u) = 13*u + 23. Let w(j) = -6*f(j) - 13*p(j). What is -r(v) - 4*w(v)?\nAnswer: 3*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24684, 48266, 71848, 95430, 119012?\nAnswer: 142594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20037 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-40)\/50)\/((-6)\/(-5)) - 19618\/(-6).\nAnswer: 7, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2352\/(-728)*(-24960)\/(-1120)?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 190 and 260.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 82 - 146. Let z be (-2 + (-101)\/(-4))\/((-12)\/u). Suppose -i - 5*b + 31 = 0, 4*b - b = -3*i + 93. What is the greatest common factor of i and z?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*s**4 - s**3 - 302*s + 10839?\nAnswer: -8*s**3 - 3*s**2 - 302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 3*j - 13. Let b be t(3). Let d(o) = -o**3 - 3*o**2 - 8*o + 15. Let r be d(b). What is the highest common factor of 42 and r?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 611, 2449, 5513, 9803, 15319, 22061, 30029?\n\"Answer: 613*g**2 - g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 221\/(-340)*-10 + 1\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1\/8 (b) -1 (c) 2\/9 (d) -100 (e) -3\/50 (f) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*h = 6*h + 39479. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -603*b - 7 + 2*b**2 + 603*b + 3 - 20.\nAnswer: 2*b**2 - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 1582\/196 + (-6)\/(3 - 2).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -921 + 729 = -12*l. Solve 1 = -5*b + 4*f, l = 4*b + f - 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(156) - sqrt(156)*2)\/sqrt(12) - (sqrt(13) - (sqrt(13)*-2*4)**2)).\nAnswer: -2*sqrt(13) + 837","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 801637436 to the nearest 100000.\nAnswer: 801600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 23*o**3 + 4*o**2 + 7*o + 2. Let j(v) = 23*v**3 + 5*v**2 + 7*v + 3. Give 2*j(p) - 3*y(p).\nAnswer: -23*p**3 - 2*p**2 - 7*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 - 475*y**2 + 835*y + 52458. Calculate u(473).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -3*g**5 - 51 - 369 + 327*g**2 + 0*g**5 - 111*g**4 - 88*g**3 + 97*g - 113*g**3 + 311*g = 0.\nAnswer: -35, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 611168 is divided by 27?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 1532 = -4*z + 2*z, -5*z - 4*h = -3866. List the prime factors of z.\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 47*x**2 + 25*x - 114. Does 39 divide c(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -166*c**5 - 88*c**2?\nAnswer: -9960*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 110*t + 140*t - 338*t + 2 - 195*t - 100*t - 294*t.\nAnswer: -677*t + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*p = -367 + 317. Solve -p*x = n + 7, -27*x + 31*x + 17 = n for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -8*a**3 + 3*a**2 + 3*a + 3. Let d(h) be the second derivative of h**5\/20 - h**4\/12 - h**3\/6 - h**2\/2 - 28*h. Calculate -3*d(g) - l(g).\nAnswer: 5*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((76\/32)\/(-19))\/((-2)\/(-6))\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 7153.2 to the nearest one hundred.\nAnswer: 7200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 553 - 551. Solve -8 = 2*g - j*z, -2*g - 4*z = -4*g - 8 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32 + -30. Let v be ((-7)\/(-21)*3)\/(a\/22). Suppose 3*g - 179 = -4*t, -t + 2*g + 26 = -16. Calculate the highest common factor of t and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/6*(-78)\/4. Let l = 462 + -458. Suppose -5*r + 3*i = -b + 4, 4*i + 16 = l*r. List the prime factors of r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (36\/104)\/((15\/(-2))\/(2740\/274))\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*y**2 + 7*y**3 + 7*y**2)*(-1 + 0 - 3 + (-2 + 0 + 1)*(-3 - 3 + 7)).\nAnswer: -35*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2048 - 0)\/(4\/850). Suppose 12 = 8*w - 5*w. Suppose -124800 = w*b + o. What is b rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of -3*d**4\/8 - 49*d**3\/6 + 43*d**2. Let b be s(-6). Solve g + o + 3*o - 20 = 0, -b*o = -5*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 6300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 479082 to the nearest integer?\nAnswer: 692","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1e296e + 8?\nAnswer: 1e2976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, o: 2, m: 1, n: 2, s: 1, z: 1}. What is prob of picking 1 m and 1 f?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 40\/(-500) + 252\/(-2475). Which is the closest to 0? (a) 211 (b) -3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/638 and -77\/58.\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -4 + (sqrt(1331) - -1*sqrt(1331)) + (6*(sqrt(1331) + 0))**2.\nAnswer: 22*sqrt(11) + 47915","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 - 21*h + 130. Let d be b(15). Suppose -18*f + 23*f - d = 0. Solve -8 = -f*a + 12*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - 3 - (4 + -94). Suppose 3*y - 2*z + z - 14 = 0, -19 = -3*y - 4*z. Suppose y*v + 6 = p. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -84*n + 1. Suppose 3*b - 3 + 6 = 0. Is d(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -556, -578, -586, -574, -536?\nAnswer: -466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2881*f - 13*f**3 - 2881*f.\nAnswer: -13*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28 + -19. Suppose 58*q + 945 = -47*q. Let s be (z\/108*q)\/(6\/(-16)). Solve 3*k = -s - 13 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/(-4))\/((-6)\/16). Let q(s) = s**2 - s - 7. Calculate the remainder when q(w) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -42 + 96 - 4*j - 93*j**3 + 165*j**2 - 54. Let s(i) = -186*i**3 + 329*i**2 - 9*i. Let h(d) = 9*k(d) - 4*s(d). Find the third derivative of h(v) wrt v.\nAnswer: -558","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1090*f**6 - 1087*f**5 - 4348482*f**2.\nAnswer: -130800*f**3 - 65220*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1291, -3614, -6957, -11326, -16727, -23166, -30649, -39182?\n\"Answer: -f**3 - 504*f**2 - 804*f + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/14 and -101\/74.\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 4*t - 22, 5*s - 5 - 35 = -5*t. Factor -194*r**2 + 50*r**t + 403*r**2 - 60*r + 15*r**4 - 20 - 194*r**2.\nAnswer: 5*(r - 1)*(r + 2)**2*(3*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -463 or -1851\/4?\nAnswer: -463","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21.7 + 19. Let t = q + 2.6956. What is t rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 343493699 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45071 is divided by 22013.\nAnswer: 1045","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2530552 (base 7) to base 16\nAnswer: 4fca2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*m**2*y**3 + 122*m**2 - 327177*m*y**3 + 4745*m*y**2 + 4*y**3 + 3*y wrt y.\nAnswer: -18*m**2 - 1963062*m + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33 and 18689.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56743, 56716, 56671, 56608, 56527, 56428, 56311?\nAnswer: 56176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -15. Suppose -5*n = -4 - 1. What is the greatest common divisor of n and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, r: 1, j: 2, x: 5, d: 5}. What is prob of sequence jxdr?\nAnswer: 5\/4368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*a**2 + 420*a + 1305 = 0. Calculate a.\nAnswer: -3, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 13462 (base 10) in base 2?\nAnswer: 11010010010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 1654*y**2 - 7*y - 2. Let f(t) = -6619*t**2 + 33*t + 10. Calculate -2*f(p) - 9*q(p).\nAnswer: -1648*p**2 - 3*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83391*v - 83467*v = 1292 for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31, -56, -83, -112?\nAnswer: -143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 9, t: 5, a: 2}. What is prob of picking 3 b and 1 a?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of -5*k**3 + 98*k + 2. Let g(j) be the second derivative of -1\/6*j**3 + 0 - j + 0*j**2. Calculate g(z(l)).\nAnswer: 30*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 164023 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 258\/31? (a) -7 (b) 0 (c) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**4 + 0*z**3 + 0*z**3 + (3*z**2 - 2*z + 2*z)*(3*z + 2*z**2 - 3*z).\nAnswer: 7*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 22 = 2*s + 94, 2*s + 5*n = -116. Put s, -8, 0 in descending order.\nAnswer: 0, -8, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence saka when four letters picked without replacement from {k: 4, s: 3, a: 13}.\nAnswer: 26\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.147 - -0.207. Suppose 0 = 20*u - 6 - 74. Which is the second smallest value? (a) -2\/5 (b) g (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 637405238 to the power of 1\/5, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 22 in -7, -0.4, 0.0942, -5, 2, 2\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - 1?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y**2 + y + 1. Let l(q) = 8*q**2 - 4*q - 3. Let u be (22 + -16 + 15)*3\/(21\/2). Give u*l(v) + 22*d(v).\nAnswer: 4*v**2 - 2*v + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17\/8278, -4\/3, -54 in ascending order.\nAnswer: -54, -4\/3, -17\/8278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of -6*u**2 + 0 - 11\/8*u**4 + 0*u**3 + 0*u. Let c(k) = 2*k. What is d(c(z))?\nAnswer: -66*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1940? (a) -5 (b) -1 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4*(0 + (-585)\/(-10)). Suppose 0 = 8*c - 17*c + u. Calculate the remainder when 128 is divided by c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19*s**6*z + 13*s**4*z**3 + 28*s**2*z**3 + 2*s**2*z + 3*s wrt s.\nAnswer: 2280*s**3*z + 312*s*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 701.\nAnswer: -2804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*f + 7*f - 7*f)*(3 + 5 - 5) + (0*f + 0*f - 2*f)*(-3 + 3 + 2).\nAnswer: 29*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wvwwylwylywwwvwvyyw. What is prob of picking 3 y and 1 v?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**3\/3 - 5*y**2\/3 - 2*y = 0.\nAnswer: -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7151 - -7151.0019537. Round x to five dps.\nAnswer: 0.00195","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 + x**2 + x + 1. Let w(u) = 79*u**3 - 5*u**2 - 5*u - 19. Let l(i) = -w(i) - 5*y(i). Differentiate l(j) with respect to j.\nAnswer: -252*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - -74921a5?\nAnswer: 74921a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 5 + 1)*(u + 7*u - 13*u) as a + i*u and give i.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-19 + -1 - (-1032 + 1040)) + -58\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of -w**4\/4 + 4*w**3 - 9*w + 8. Is j(10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ipvi when four letters picked without replacement from {i: 3, v: 2, b: 4, p: 2}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 66521049?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 + 2*o**2 + o + 46. Let n be w(0). Let v = n - -139. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**4 - 3*x**4 - x**4)*(7 - 3 + 5) + (-2*x + 6*x - x)*(-2 + 2*x**3 + 2).\nAnswer: -3*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -3, 4, 0.1, 2\/45, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/42*-3)\/(3 - (-1869)\/(-630)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 42 and 0.3?\nAnswer: 12.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l. Let m be (-6)\/18 - (-38)\/6. Suppose m*b = -0*b + 12. Let s(k) = 11*k**2 - 6*k**2 - 5*k**b - 6*k**2. Determine t(s(j)).\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3031 (base 4) in base 5?\nAnswer: -1310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 PM and 1:25 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -n**2 + 11 + 12 + 14 + 9*n**2 - 7 as o + b*n**2 + d*n and give b.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8009*p**2 + 8010*p**2 - 16026*p**2.\nAnswer: -7*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 53491611 divided by -2857\nAnswer: -18723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -496, 122, 4, -167 in decreasing order.\nAnswer: 122, 4, 0, -167, -496","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64 (base 9) to base 5.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -276910534?\nAnswer: -276910534","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3993038950?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 1 = -4. Let t be ((-11)\/r - -2) + 3. Factor 16\/5*v**2 + t*v + 4\/5 + 6\/5*v**3.\nAnswer: 2*(v + 1)**2*(3*v + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 - -45. Let m = -31 + k. What is the smallest value in 3, m, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 20 = -0*y - 2*q, -q = -y + 5. Suppose 0 = -y*l - 15, l + 14 = 4*o + 3. What is the smallest common multiple of (-2)\/8*(1 + -5) and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + ad?\nAnswer: ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 218 divide 1114689372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 + 12*l - 9. Give j(6).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**2\/11 - 5850452*c\/11 + 35102784\/11 = 0. What is c?\nAnswer: -2925232, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.29526509 to three dps.\nAnswer: -0.295","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 498689139.\nAnswer: 3, 13, 12786901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -38 <= 0.035?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 41 and -6648?\nAnswer: -272568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 18*y**2 - 239*y + 76. Let n be s(13). Let h(p) = p**2 - 2*p - 3. What is h(n)?\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o - 2. Let n be a(0). Let z(k) = 4*k**2 + 2*k - 2. Let u be z(n). Suppose -4*p = -u*p + 108. What is the greatest common factor of 45 and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 + 6*u**2 - 5*u + 5. Let d be (-10)\/(-3)*6\/4. Let r be j(d). Solve -3*n = 2*w - 2, -r*n = 5*w - 4 - 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2 + 2*z**2 + 0 + 1 - z - 9. Suppose 2*v = 3*v + 3*w + 9, -4*v - 4*w - 4 = 0. Let h be r(v). Solve h*b + 1 = -9 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 + -19 + -13 - (-19 - (-2 + 0)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3191.788 centuries to months.\nAnswer: 3830145.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -2 - (-1 - 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -200 = s + 5*r, 1295*s - 195 = 1297*s + 5*r for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 258 = 3*r - 0*w - w, 0 = -5*w + 15. List the prime factors of r.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 + 12*f**2 - 39*f - 141. Calculate u(5).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 b when two letters picked without replacement from vqvkqbbkvjbvvjjhvv?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, -9, -6 in descending order.\nAnswer: 5, 4, -6, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2904.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 3.91. Let m = d + -3.91. Let k = 6 - 8. Put k, 3, m in decreasing order.\nAnswer: 3, k, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 253248616.\nAnswer: 2, 31656077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 60, -0.1, -1 in decreasing order.\nAnswer: 60, 0, -0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1152 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 1. Let m be t\/(-3) - (-20)\/(-6). Let q(k) = -4*k**3 - 5*k**3 - 4 + k + 3*k**2 + 10*k**3. What is q(m)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 - 10*v - 4. Let s = -357 + 357. Suppose 0 = 4*b + 5*h - 50, 2*b + 2*h + s = 24. Calculate p(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74 = 11*g + 41 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -150960143*f**5 + 114847631*f**2?\nAnswer: -9057608580*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -1) + 2 + (8 + -9 - -3 - 72)\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 150 and 120?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 587 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 + 11*w - 5. Let j be d(10). Suppose -2*v + i - 7 = 0, 0*v + 2*v + j*i = -37. Is v greater than -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*j + 92 - 290 = 0 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -8 (b) 2\/5 (c) -2\/21 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25270 to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 180 - 42. Is a a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of t**3\/3 - 4*t**2 - 4*t + 1. Let g(o) = -20*o - 33. Let z be g(-2). Calculate x(z).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4022.4 + -6066.3. What is m rounded to the nearest 10?\nAnswer: -2040","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g + 3 - 7*g - 13 + 81 in the form z*g + y and give y.\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2. Suppose -o + 48 = 2*a - 5*o, -2*o - 66 = -4*a. Let u(q) = -11*q - a*q + 32 - 32. Give t(u(y)).\nAnswer: 625*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3708 divided by -927.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 PM and 5:34 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-185 + 3*p**4 + 185)*(58*p - 282*p - 85*p - 32*p).\nAnswer: -1023*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 9*h - 11. Let p be d(5). Let r = 29 - p. What is the tens digit of (3\/r)\/(9\/(-270))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5623524 divided by -5623524\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 626 + -46?\nAnswer: 580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136512?\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 + 6*j**2 + 5. Let u be o(-6). Suppose u*c + 7 = 22. Calculate the smallest common multiple of c and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.025 or -1.4?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.5, 0.3, -1\/4, 7\/10, 0.0276?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1340654 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (0 - -766) + 0\/((-2)\/2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/51)\/(144\/(-72)).\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3610 and 2400.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (50\/12)\/(((-918)\/102)\/54).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 469570493 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1575508227 and 1002?\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 2 + 1 - (70 + -143 - -58).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -8141472, -4 in decreasing order.\nAnswer: 0, -4, -8141472","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 24345 times -10.3?\nAnswer: -250753.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 10202760 rounded to the nearest one million?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -6*x - 1. What is j(2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 314174 = k, 936*l - 2*k = 941*l - 314192. Is l a multiple of 349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/1039, -3\/7, -1.27?\nAnswer: 1\/1039","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/9 and -17\/9135.\nAnswer: 9135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/10266 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2*1\/(-20)*24\/6\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f - f + 4*f)*(-6*f + 0*f + 3*f) + (3*f**2 - 5*f**2 - f**2)*(-3 - 3 + 4) - 2*f**2 + f**2 + 0*f**2.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.16, 2\/21, 0.5, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 72 = -93*v - 9*x + 4*x + 40 + 71, 9 = -3*x for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 7, 1\/9, -2\/5?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d**3 - d**3 + 2*d**3 - 4*d**2 + 8*d**2.\nAnswer: -d**3 + 4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*s + 86*s + 120 = 45*s for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 27\nAnswer: 5\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 167545?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 4*v. Let c(b) = b**3 + 4*b**2 + b - 2. Let k be c(-3). What is the tens digit of y(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3 and 241302?\nAnswer: 241299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 8:41 PM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + 13 - (3 - 6 - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b - 1. Let f(o) = 4*o + 6. Calculate -f(l) - 5*r(l).\nAnswer: l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -66.9 + 67. Which is the nearest to q? (a) 1 (b) 2\/5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 193032?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h. Let x(z) = z**3 - 5*z**2 - 5*z - 3. Let d be x(6). Suppose d*u = -5*n, -2*n - 2*u = u + 9. Let t(g) = -g + g + n*g. Determine m(t(r)).\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 783.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 3*q**2. Let b(d) = -d - 5. Let x(p) = -3 - 1 - 2 - p + 0*p. Let h(o) = -6*b(o) + 5*x(o). Calculate f(h(l)).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 9*v - 8. Suppose -6 = -h - v*h. Suppose -2\/5*y**3 + 0*y + 2\/5*y**h + 0 = 0. Calculate y.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -322.4 - -323. Let f = 42 - 24. Let m = f + -18. What is the closest to j in -5, m, -0.4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6106 or 6090?\nAnswer: 6106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 1402 = -2*w, -7*k + 4*w + 328 = -6*k. Suppose c - k = -f, 12*f + 694 = 14*f + c. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -331 + 225. Let n = 165 + k. What are the prime factors of n?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 51, 3 in descending order.\nAnswer: 51, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 880 a multiple of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*g - 97*g + 109136. What is the thousands digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -4 - (-19)\/((-95)\/(-1750)).\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of -121*x**7\/105 - 37*x**4\/8 - 3*x**2 + 49. What is the second derivative of g(d) wrt d?\nAnswer: -2904*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 18746, 16403, 12498, 7031, 2, -8589, -18742?\n\"Answer: -781*y**2 + 19527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - -7) + -1 + 3 + -4. Solve 16 = w*j + j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 67 - 64. Let k = j - 0. Which is the closest to k? (a) -0.03 (b) -2\/3 (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/9040 and 149\/2996760?\nAnswer: 5993520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5)*2 + 3)*6 + ((sqrt(125) - (sqrt(125) + 1 + sqrt(125) - sqrt(125))) + sqrt(125) - sqrt(125))**2 + -4.\nAnswer: 15 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 60 = -52. Let r be (v - 0)*(-7)\/(-2). Let g(k) = k**2 + 10*k + 3. Let p be g(-11). Calculate the highest common factor of p and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 11779?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -6 + 2 - 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -3*y**2. Let s(z) be the third derivative of z**5\/4 + 10*z**2 + 1. Determine f(s(g)).\nAnswer: -675*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 0*t, -3*t = -5*u + 30. Suppose -27 = 38*i - 35*i. Calculate the remainder when 13 is divided by (-30)\/i*9\/u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 4:00 PM?\nAnswer: 12:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 266 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 176\/1385 or 1?\nAnswer: 176\/1385","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64576704 is divided by 694.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-2\/11))**(-25)*(b*b**(-18\/5)\/b)\/b*b**(-10))**(4\/3) assuming b is positive.\nAnswer: b**(-7712\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.566527 - -0.8.\nAnswer: -0.766527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 274, 1073, 2404, 4267, 6662, 9589?\nAnswer: 13048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 461*p**5 + 286*p**2 wrt p.\nAnswer: 27660*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.2 in -1\/3, -0.1, -203792\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 3*j**4 - 3*j**2. Let u(f) = f**4 - f**2. Let h(b) = 4*u(b) - z(b). Suppose h(s) = 0. What is s?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 198658 and 710?\nAnswer: 993290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40899*k + 24 = -40895*k - 4*o, -2 = 5*k + 3*o for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - 0. Let c be -2 + (m\/3 - -2). Let b(z) = -z - z + z + c. Let q(i) = i. Calculate b(q(f)).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -294 + 463. Suppose 31 = 8*r - c. Solve 10 = h - 2*h - 2*t, -4*h = 3*t + r for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -860250 (base 9) to base 8.\nAnswer: -1747735","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4592073162 to the power of 1\/6, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -4*z - 20. Let g = 49 - 67. Let r be b(g). Let h = -18 + r. Is h a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 12, -h + 12736 = -8*q + 5*q. Let o = h - 4537223\/356. Let p = o + -2391\/1424. Find the common denominator of -81\/26 and p.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -4*j**2. Let y(v) = v**2 + 3*v + 3. Let x(o) = -o**2 - 2*o - 2. Let p(q) = -3*x(q) - 2*y(q). What is p(i(f))?\nAnswer: 16*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 37230 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*3*6\/9. Let d = 4 + s. Suppose -f = -7 + 2. Solve v - 3 = d*m, v + 17 = -f*m - 8 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 364598 to the power of 1\/2, to the nearest integer?\nAnswer: 604","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -400 divided by 100\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-6)*(-12)\/(-4)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 - 6*a**2 - 8*a + 4. Let n be q(-4). Suppose 2*j + j = n*w - 5, 4*w + 3*j - 35 = 0. Suppose 26 = -w*x + 226. Is 10 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -5*c + 92. Suppose l - 26 = -c. Do l and -2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 188.05033 + -187.84. Let y = s - 0.21. What is y rounded to 4 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a millennium in months?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/3316 and 14\/2515.\nAnswer: 8339740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 12 = -2*r, -r = h + 4*r - 12. Suppose 2*m + 4*y - 240 = 0, 3*y - 131 = 3*m - 527. Let p = 137 - m. Calculate the least common multiple of p and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -5*m + 20. Calculate t(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.3 - 4.3. Let l = -0.2 - -0.2. Which is the closest to -1\/4? (a) 4\/7 (b) w (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1840377.35027 minus -755?\nAnswer: 1841132.35027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*s**3\/5 + 36*s**2\/5 - 4*s\/5 - 36\/5 = 0. Calculate s.\nAnswer: -9, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 37 - 24. Suppose 2*k + j = 6*k - 15, p = 4*k - 3*j. Factor 0*f**4 - f**k + 2*f**4.\nAnswer: f**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 + 11*h + 28. Let m be i(-9). Let r = 10 - 5. Differentiate 3 + 17*w + r - m*w wrt w.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -48306.14 and -3.\nAnswer: 144918.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -114, -116, -118, -120, -122?\n\"Answer: -2*x - 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of -5*p**3\/6 - p**2 + 22*p. Let a(n) = 4*n + 1. What is 3*a(u) + 2*k(u)?\nAnswer: 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.028733ml to litres.\nAnswer: 0.000028733","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -73.962 + 74. Let f = w + -0.058. What is the biggest value in 3, 0.06, f?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2745 = -2*u + 3*j + 2*j, 0 = -j + 1. Does 25 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*(u**(1\/10)\/u)\/u*u\/u**(1\/24)*u**(-2\/33)\/u*u**(-7) assuming u is positive.\nAnswer: u**(-3521\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 + 9*c**2 + 7*c + 8. Suppose 4*s + 4*u = -6 - 46, -4*u = 20. Let b be n(s). Calculate the highest common factor of b and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.901? (a) 4 (b) -4 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1181 - -1141. Sort 0.5, p, -5.\nAnswer: p, -5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.19 - -7.51. Let k = -64.7 + l. Let f = k + 56.99999977. What is f rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xvvtbgtmbmbmxm. Give prob of sequence xbm.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of 0 - 1\/150*q**6 - 1\/10*q**2 - q + 1\/50*q**5 - 1\/30*q**3 - 1\/210*q**7 + 1\/30*q**4. Let f(d) = 0. What is d?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 2*z + 34. Let g be 2 - (-1 + -2 + z). Solve 34*h**2 + 2*h + 70*h**4 - g*h + 22*h**5 + 78*h**3 + 12*h = 0 for h.\nAnswer: -1, -2\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116099 is divided by 1001?\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1037)\/13481)\/(3\/(-1014)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 AM and 1:46 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-4)*(-28)\/21?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 + 15*u**2 - 3*u - 1. Give k(15).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8286808545 to the nearest integer?\nAnswer: 91032","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -7, 3637, -2 in descending order.\nAnswer: 3637, 2, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0151 and 1186?\nAnswer: -17.9086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.87127679 rounded to 3 decimal places?\nAnswer: -4.871","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 32472, 64949, 97462, 130029, 162668, 195397, 228234?\n\"Answer: 3*m**3 + 32456*m + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 32*x**2 + 8*x - 26. Calculate the remainder when b(3) is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681.8236 millimeters in centimeters?\nAnswer: 68.18236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3478144 divided by 4.\nAnswer: -869536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 373187245 to the nearest 10000.\nAnswer: 373190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 3 + (9 - (-5 - -14))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)\/(sqrt(16)\/sqrt(4)))**2*-2.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-4*(-1 + sqrt(1700)))**2 + sqrt(1700)).\nAnswer: -620*sqrt(17) + 54432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llzllzzzllllllzllzl. Give prob of picking 1 z and 1 l.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 24 = 8. Suppose -3*f + 4*f = 3*b - 5, -b + c = 2*f. Suppose b*o - 27 = -1. List the prime factors of o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*a = -252 - 315 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*k**2 - 7*k**2 - 5*k**2 - 13*k**3 + 15*k**3.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20615 - 20611. Solve 12 = z*d - 2*d + 4*f, 0 = 3*d + 3*f - 12 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/18)\/(40\/(-32)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1426222 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -453 - 18910*y**3 + 453 + 18906*y**3.\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 719 = 2*o - 455, -4*o + 2*l = -2372. Which is the nearest to o? (a) -2 (b) 0 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7543536?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (284*d**3 - 944*d**3 + 404*d**3)*(0*d - 2*d + 4*d).\nAnswer: -512*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 37\/5 of a hour?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s**4\/4 - 1347*s**3\/2 + 19572*s**2 - 36456*s = 0. Calculate s.\nAnswer: 0, 2, 28, 868","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f. Let v(i) = 11*i**2 - 3. Let k(z) = 208*z**2 - 56. Let o(r) = 3*k(r) - 56*v(r). Determine o(p(a)).\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 245*q + 1115. Determine t(-5).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9600 rounded to the nearest 100?\nAnswer: 9600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 43*p**3 - 3*p**2 + 5*p - 11. Let v(i) = -44*i**3 + 2*i**2 - 4*i + 11. Let t(h) = -4*q(h) - 5*v(h). What is the third derivative of t(x) wrt x?\nAnswer: 288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1045 a factor of 687554?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-2)*72\/(-126).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 312360786*t**3 - 680901296*t**2.\nAnswer: 1874164716","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102)\/(sqrt(48)\/sqrt(72))*-6)**2 + ((sqrt(2448) - (sqrt(2448) - (sqrt(2448) + sqrt(2448) + 2)))**2 - (sqrt(153)\/sqrt(81) + sqrt(17))**2).\nAnswer: 96*sqrt(17) + 137464\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from {b: 2, u: 1, d: 3, a: 2, s: 9, h: 3}.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169392 is divided by 47.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 165, 228, 291, 354?\nAnswer: 417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 - 85*b + 99. What is q(18)?\nAnswer: -1107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s - 5. Let c be j(6). Solve 4*i = -11 - c for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-20)\/6 + (-10)\/(-2) + -1. What is the smallest value in -1\/5, 1\/4, -3\/4, h?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 5 + sqrt(1216) - sqrt(1216).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 2*x + 3*x + 47, x - 4*q = -27. Let w = x + 14. Let a(o) = -o**3 + 3*o**2 + 4*o + 1. Give a(w).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 24 + 216 = 0. Is z a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -73025, -292131, -657319, -1168595, -1825965, -2629435?\nAnswer: -3579011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -1265*p**2 - 58 - 34*p + 634*p**2 + 630*p**2. Let r be z(-32). Let t(q) = 3*q**2 - 2. Let k(u) = u**2 - 1. What is r*k(x) - 3*t(x)?\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of 16*j**2 + 1\/10*j**6 + 0*j**4 + 0 + 0*j**3 - 2\/105*j**7 - 2\/15*j**5 + 0*j. Factor l(b).\nAnswer: -4*b**2*(b - 2)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1109064 is divided by 4454.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (264\/165)\/1*25\/3*24\/(-16).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 + 2)*(11*p**4 - 7*p**4 - 5*p**4) to l + s*p**2 + f*p**4 + y*p**3 + w*p and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 6*d + 4 = 0. Suppose y - 2*x = 30, -d*x = -8*y + 7*y + 26. Does 7 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (4 - (2 - -2)) + 7\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*f = -47*f - 48*f + 448 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3341*p**4*q**2 - 192*p**4*q + 3*p**2*q**2 - 33*p**2 + 8996*q**2 wrt p?\nAnswer: 80184*p*q**2 - 4608*p*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 PM and 3:34 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 + 384*f + 85. Let x(w) = -192*w - 34. What is 5*x(y) + 2*z(y)?\nAnswer: 2*y**2 - 192*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -18, -4, -2, 500, 4 in descending order.\nAnswer: 500, 4, 1, 0, -2, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 143.36 + -24047385183\nAnswer: -24047385039.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-4))\/(((-2622)\/48)\/(-23)*-1)?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42910?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 - k - 3. Let i be p(5). Let l = 35 + i. Find the second derivative of -9*r**2 + r**2 + 6*r - 4*r**2 - 3*r**l wrt r.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s + 4*s + 6*s)*(-2*s - s**2 + 2*s + (-3 + 3 - 2*s)*(3*s - 4*s + 2*s) + s**2 - 2*s + 2*s - s**2 - 3*s + 3*s).\nAnswer: -18*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1457 - 1452. Solve 3*q = 2*q - j*a + 26, 5*q + 5*a = 30 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*i = 30*i - 440. Let l(p) = -p**2 + 29*p - 141. Calculate the remainder when i is divided by l(21).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1638 divided by 182.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 789046679 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or 599.7?\nAnswer: 599.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1642, -1, -1\/2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 76*q + 79*q - 6850 = 0, -5*n + 3*q = -8603. Is n a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*s + 6 + 39*s - 11.\nAnswer: 28*s - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000671181 to six dps.\nAnswer: -0.000671","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -15 >= 2270?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**4\/h)**(1\/10)\/((h\/(h\/(h\/(h*h\/h**(-2\/3)*h*h))))\/h)**(2\/47) assuming h is positive.\nAnswer: h**(703\/1410)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 440.3475978 + -437.7476. Let a = -2.6 + u. Round a to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 477 divided by -3?\nAnswer: -159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 198\/5*w + 2\/15*w**2 + 236\/3.\nAnswer: 2*(w + 2)*(w + 295)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5586*x**3 - 5599*x**3 + 10247*x**2 - 10247*x**2.\nAnswer: -13*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 12) to base 10.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5443245 + 3?\nAnswer: -5443242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -30 + 224111?\nAnswer: 224031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7257 - 561. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 409770?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = 4*y - 6*i + 3*i, 31 - 30 = -y - i for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (23\/(-460))\/(1\/4)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 58585.\nAnswer: -58585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 + 45 + 24 - z**3)*(-28 + 28 + 11*z) to the form s + n*z**2 + t*z**4 + d*z + a*z**3 and give d.\nAnswer: 671","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 897 + -1134. Which is greater: -239 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/19))**(-1)\/(k**21*k*(k\/((k\/((k\/(k\/(k**(3\/13)*k)))\/k))\/k))\/k) assuming k is positive.\nAnswer: k**(-5504\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 - n - 1. Let m(y) = -y - 1. Let k(q) = -d(q) - m(q). What is k(-5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7784017 to the power of 1\/3, to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/18 + (-34)\/(-153). Solve -4*s + 20 + n = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/7 or 126?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of -743*i**4\/9 - 2974*i**3\/9 - 4*i**2\/3 - 7364*i. Factor w(m).\nAnswer: -4*(m + 2)*(743*m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 10*w + 13. Let m(b) = 4*b - 350 + 343 - 9*b. Let j(x) = 2*l(x) + 5*m(x). Let a be 1\/((-1)\/(-2 - -8)). Calculate j(a).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = l + 2*t - 2, -2 = -l + 4*t. Let b = 30 + -26. Let i = 579\/7 - 83. What is the nearest to l in 1, b, i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 10 = -0*p + p, 25 = 5*o + p. Let z(i) = -5*i + 1. Let l be z(-2). Solve 2*x - l = -q, 4*x = q + 14 + o for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5321746643 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5.9 or 5035?\nAnswer: -5.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69813?\nAnswer: 3, 7757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 0 + 2)*(2*s - 2*s + 3*s) - 4*s - s + 0*s)*(-66*s - 178*s + 64*s + (2 - s - 2)*(2 + 0 - 3)).\nAnswer: 1969*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2356 (b) -2\/9 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1946 + -1946.3. Which is the biggest value? (a) x (b) -0.5 (c) -93\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 86 - 85.37. Let y = c + -0.63000019. Round y to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -132 + 53*w + 504 - 131 - 107 - 138.\nAnswer: 53*w - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2 (b) -0.5 (c) -1285 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -736*s - 1074 = -210*s - 16328 for s.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + s)*(1 - 1 - 1) + 37 - 37 + 4*s.\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 2459.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r**4\/3 - 4*r**3\/3 + 4*r**2\/3 + 4*r\/3 = 0. Calculate r.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 7:22 AM?\nAnswer: 6:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8.4 or -2?\nAnswer: 8.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (433656\/(-133))\/((-3)\/14). Suppose -k = -15*f + 3*f. What is the thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-18) - 38\/(-12). Let r = 484 + -481. Suppose -6*l - w + r = 0. Is l equal to -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/4 (b) -79 (c) 4\/7 (d) 168\/11 (e) -6\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 + l**2 - 1. Let h(k) = -6*k**3 - 9*k**2 - 4. Give -h(m) + 4*v(m).\nAnswer: 2*m**3 + 13*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 - 22. Let h be l(0). Let f(z) = z**3 - 3*z**2 - 9*z + 1. Let x be f(5). Suppose 0 = -5*k + x*u - 11*u - 90, -5*k - 135 = -4*u. Is k >= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 314 is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*f + 0 + 0 - 22*f + 17*f.\nAnswer: 11*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - 2. Let c(s) = s**3 + 3*s**2 - 2*s - 3. Does 3 divide c(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 265 = 0, -4*u + 0*o = u + 3*o + 1628 - 1484 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10\/23 + 169\/230. Suppose -2*u + 4*h = -18, h - 1 = u - 5. Is u at least b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -6*o - 6. Let q be z(-4). Calculate the remainder when (-1)\/2 - (-153)\/q is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 159413?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102 = 24*q - 6*q + 30 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2118*b**2 - b + b - 19342*b**2 - 15830*b**2.\nAnswer: -33054*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/2 and 101\/122.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 88 and 952?\nAnswer: 10472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of c**4\/24 - c**3\/6 + 10*c**2. Calculate r(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in eleven quarters of a milligram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jkj when three letters picked without replacement from {k: 9, j: 3}.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j. Let b be 5 + 12\/(-2) + 6. Let q(d) be the third derivative of 0*d**3 + 0*d + 1\/20*d**5 - b*d**2 + 0*d**4 + 0. Determine q(y(i)).\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 - 4*p - 9. Let r be x(7). Let d = r - -76. Let i be 3 - (d\/14 - 3). Which is smaller: 1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 500 - 794 + 4101 + 1071*z**3 + z**2 + 0*z**2 + 0*z**2 wrt z?\nAnswer: 3213*z**2 + 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -435 - -441. Is 3\/5 not equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 4*z + 3. Suppose -3*f + 3*m - 4*m = -14, -3*f - 3*m + 12 = 0. Give s(f).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, t: 15}. What is prob of picking 3 x and 1 t?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 469 and 161.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**3 - 2*x**3 - 2*x**5 + (-17*x + 2*x - 6*x)*(-x**4 + 0*x**4 + 2*x**4) + (x**4 + 0*x**4 - 2*x**4)*(-2*x + 7*x + 2*x).\nAnswer: -30*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {e: 3, q: 4}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-20 - 42\/(-7))\/(-2). Suppose 3*k**3 - 3*k - 9 + 4 - i + 12*k**2 = 0. What is k?\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108148 is divided by 108120.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/4 of a gram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -3*c - 4. Let m be d(-4). List the prime factors of ((-108)\/m)\/(3\/(-8)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2653.2 + -2653. What is the fourth biggest value in 2\/17, 2\/7, -0.07, a?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7284.00021644 + -7284. Round g to five decimal places.\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -28646 > -131?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 6:14 AM?\nAnswer: 9:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of d**7\/336 - 23*d**6\/960 + d**5\/96 + 17*d**4\/64 + 3*d**3\/8 - 6*d**2. Factor m(y).\nAnswer: (y - 3)**2*(y + 1)*(5*y + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -169\/65422728 and -41\/42057468?\nAnswer: 588804552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13082.\nAnswer: 2, 31, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is ac088 - -3a?\nAnswer: ac0c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -70306 rounded to the nearest one thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 + 11. Let b = -2 - i. Solve 0 = u - b*u - 4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 4*z = 4, 167*d - 655 = z + 17 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 106581542 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 255, 3, 0.5, 4 in increasing order.\nAnswer: 0.5, 3, 4, 255","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, b: 1, s: 1, g: 2, p: 1, h: 1}. Give prob of picking 1 g, 1 h, and 1 u.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one quarter of a millimeter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -201448, -201452, -201456, -201460?\n\"Answer: -4*f - 201444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -8*a**2. Let q(x) = -39730*x. Determine q(b(r)).\nAnswer: 317840*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 770679 by 21.\nAnswer: 36699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1360 and 310.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4903b (base 13) in base 5?\nAnswer: -13242232","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + 0)\/(-7) + 0. Let x = 4 - 1. Suppose x*h + 2*h = 0. Is g < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 + 4*o. Let d be s(0). Suppose -m - 5*x + 273 = 0, 0 = -2*m - d*x - x + 573. Let z = m + -101. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from humhtwkt. Give prob of picking 2 t and 1 k.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -482 or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*h - 19*h + 4 + 13*h in the form w + y*h and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -2*u + 2*b + 49, -3*u = 2*b - 155. Suppose 3*q + 51 = -a + 4*a, -3*a = q - u. Does 6 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -494 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from qjjqqqjqqjqqjjqqqq?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (192*l + 203*l - 390*l)*(-3 + 1 + 5 + (-3 + 0 + 0)*(4 - 2 - 4))*(4 - l - 4).\nAnswer: -45*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3666160849 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.7 + 1. Let g = -4\/15 - -1\/15. What is the nearest to -2 in 2\/7, g, f?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -20, -65, -110, -155?\n\"Answer: -45*m + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2a2 (base 13) to base 5\nAnswer: 3340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24 - 0. Suppose -9 = 3*j - m. Suppose 4*l = 3*z + 47 - j, -30 = -4*l - 3*z. Is 6 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 - 3*l**2 - 2. Let q be r(0). Suppose -3 = -0*k + k. Let n be (k\/(-3))\/(2\/8). Sort -3, q, n in increasing order.\nAnswer: -3, q, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 355487\/117 != -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (11 + (-194024)\/16)*(-4)\/6.\nAnswer: 41, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 59 + -39. Suppose -532 = -37*d + 208. Calculate the greatest common factor of i and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 8208, 8356, 8510, 8670?\n\"Answer: 3*t**2 + 139*t + 8066","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 17*a**3 - 2*a**2 + 1. Suppose 0 + 2 = -2*c, 3*s = -3*c. Give n(s).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -5 - 2*k + 3*k + 0*k + 4. Let w(g) = 6*g - 4. Let f(m) = -4*a(m) + w(m). Calculate f(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 882*q**4 - 483 wrt q.\nAnswer: 3528*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of -3*r**4\/2 - r**3\/2 - 2*r + 6. Factor w(g).\nAnswer: -3*g*(6*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 - 4*d - 1. Let l = 42 - 27. Let m be (4 - -1)*(-9)\/l. Give y(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-63*226\/149499)\/(2 + 32\/(-18)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2\/3 (b) -68.5 (c) -1\/3 (d) -0.1 (e) 167 (f) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 927114856 to the nearest integer?\nAnswer: 30449","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.8? (a) 0.1 (b) -13 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -178 + -3939712147.\nAnswer: -3939712325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-161)\/(-46)*-18*(-6)\/(-21)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 157750*p**2 - 52569*p**2 - 52573*p**2 - 52606*p**2.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-3)*-3 - 30. Let z = -101\/3 - u. Which is smaller: -4 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 45*k**5 + 41*k**5 - 22*k**5 + 0*k**5 + 3*k**5 - k**5 + (2*k**2 + k**2 - k**2)*(2*k**3 + 0*k + 0*k) + 0*k**5 + 3*k**2 + 2*k**5 - 4*k**2.\nAnswer: 72*k**5 - k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (9095\/14)\/5 + 182\/2548. What is the highest common divisor of s and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 571516 a multiple of 838?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence id when two letters picked without replacement from difiifhli.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 4*o + 11 - 3 = 0, d + 8 = -4*o. Let v(a) = -4*a - 2*a + d*a - 6. Let k be v(-6). Solve 0 = -y + 4*y - 5*m + k, 16 = -2*y + 2*m for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 324646929?\nAnswer: 3, 36071881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(68) + (sqrt(68)*2 - sqrt(68)))\/sqrt(4))**2 + -5.\nAnswer: 1083","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 111*a**3 + 16*a**2 - 14*a**2 - 1 - 2*a - 157*a**4 + 2 - 114*a**3 as x*a + m*a**2 + l + u*a**4 + f*a**3 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 74332?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -7*b**3 + 2155*b**2 + 342*b - 10461. Determine q(308).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 - 0 - 87\/(-3)*-1. Let g = -15 - q. Calculate the remainder when g is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21 + 25. Suppose 15 = -3*x, -4*a - o*x + 7*x = -907. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 190 - 187. Suppose -5*v = 2*m + 10, -5*m + 2 = -2*m - v. What is the nearest to m in 3\/5, 1\/2, y?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 63\/2 - 30. Let z = 9 - 7. Suppose z = s + 4. Sort 1\/6, g, s in descending order.\nAnswer: g, 1\/6, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**3\/5 - 811388*c**2\/5 - 12011828*c - 1111195396\/5.\nAnswer: 4*(c - 202921)*(c + 37)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6847 and 30549811?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 1\/2 (b) -0.1156 (c) -73\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -13*i**3 + 8*i**2 + 12*i + 9. Is y(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of p**7\/210 - p**6\/20 + p**5\/15 + p**4\/4 - 5*p**3\/6 - 33*p**2. Solve t(s) = 0.\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -289, -1178, -2641, -4648, -7169, -10174, -13633, -17516?\n\"Answer: 5*h**3 - 317*h**2 + 27*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15821900 rounded to the nearest one hundred thousand?\nAnswer: 15800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*m + 113*m - 55*m - 244 = 0. Suppose -4*z = 2*u - 114, -5*z - 405 + 90 = -5*u. What is the greatest common divisor of m and u?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from {v: 5, t: 8}.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20 - -20.2. Which is the smallest value? (a) 3\/4 (b) -1 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 + 8*w**2 - 99*w - 62. Let q be l(7). Are q and -211\/10 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -3*c + 3. Determine u(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 5:32 PM?\nAnswer: 11:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 - 22*h**2 - 46*h - 31. Let r be o(24). Let p(t) = t**3 - 16*t**2 - 14*t - 25. Calculate the remainder when p(r) is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 124318*h**5 + 28784*h - 9 wrt h.\nAnswer: 2486360*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42\/(-140))\/((-14)\/((-56)\/6))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21\/2 or 6638582?\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/17371827 and 137\/15441624.\nAnswer: 138974616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.7 (b) 0.01 (c) -4 (d) -446 (e) 1\/3 (f) 1 (g) 9\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -20761 in 3, -1\/13, 0?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x - 2. Let q(c) = -5*c**2 - 7. Let k(z) = -2*z**2 - 3. Let n(b) = -7*k(b) + 3*q(b). What is n(m(t))?\nAnswer: -t**2 + 4*t - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-55) + 39936\/(-2816)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36 - (-15 - -19 - -31).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 300 a factor of 2751179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -94165155 + 209*j**2 - 2*j + 94165155 + (-2*j + 2*j + 2*j**2)*(2 - 3 - 2).\nAnswer: 203*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 23884 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -11*t + 14*t. Let f(x) = -x**2 + 1. Let d be f(-4). Let l = -2 - d. Solve 0 = -t*u - l - 12 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*f**2 + 2*f**2 - f**2.\nAnswer: -21*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-14)\/(-49)*(9 - 2) - 10\/(-2). What is the closest to -0.1 in n, -35, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -4*q + 3. What is t(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/4 + 13\/(104\/(-3150)). What is l rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00096746 to five dps.\nAnswer: -0.00097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3199*k**3 - 1 + 2*k**2 + 3196*k**3 + 2 + 26*k**4 - 4*k**2 to the form h*k**3 + o*k + j + c*k**2 + q*k**4 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + 100b84?\nAnswer: 100b80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1692 and 15111972.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 5. Let h(i) be the second derivative of i**4\/4 - i**3\/3 - 2*i**2 + 35*i. List the prime factors of h(n).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrjjrjtsmjzjtjz. What is prob of picking 1 r and 1 j?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -2*s, h - 20 = -4*s - 0*h. Suppose g = s*g - 6. Suppose -a - 21 = -g*n - 1, -4*a = 5*n - 37. What is the highest common divisor of 3 and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86 - 198*f**2 - 86 + 5*f**2.\nAnswer: -193*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 3*m - 18 = 0, 4*m - 4 - 2 = 5*x. Suppose 3*y = -4*j + 12, -5*y - 1 = -4*j + 11. Let c be 0\/j - (-1 - 3). Solve 0 = -4*u + x*u + c for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 200468?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y + 5 = 8*y, -2*y + 114 = w. What is the remainder when 413 is divided by w?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -4*w - 2, -3*n = -3*w - 24. Let l be (53 + -13)\/(-2*(1 - 2)). Solve -l = g - n*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-3*(sqrt(112)\/(sqrt(8) - (sqrt(8) - sqrt(128) - sqrt(8))))\/(sqrt(24)\/(sqrt(24)\/sqrt(2)) + sqrt(2))*-3)**2.\nAnswer: 567\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, y: 1, c: 1, w: 1}. Give prob of picking 2 n, 1 w, and 1 c.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1683 by 374.\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -70*52\/(-12558)*23.\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -7*(-2 - (-2 - -5)). Let a be (-1 - -3)\/((-8)\/(-64)). Let y be (-28)\/6*(-24)\/a. Calculate the highest common divisor of y and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 8:57 AM?\nAnswer: 11:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 181466985.\nAnswer: 3, 5, 7, 1728257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 51704, 51642, 51582, 51524, 51468?\n\"Answer: d**2 - 65*d + 51768","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -653 and 0.3.\nAnswer: -195.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - w - 5 = 0, -485*w - 7 = -2*o - 482*w for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6 (b) 4 (c) -0.3 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*k*q + 172786014*k + 250896270*q wrt k?\nAnswer: -3*q + 172786014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 98144 and 1374016.\nAnswer: 1374016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2112023 - -200?\nAnswer: -2111223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 a when two letters picked without replacement from zanfg.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaaf when four letters picked without replacement from faffffaffffffffafa?\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.5654 - -120.4346. Sort h, -0.5, -6 in descending order.\nAnswer: h, -0.5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 19844899?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is -2b8a3 (base 14) in base 2?\nAnswer: -11010100010110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.43936 rounded to two decimal places?\nAnswer: 0.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3 - 1 + 0)*(1 + 0 + 1) + (-1 - 3 + 2)*(-3 + 13 + 46))*(-4*i - 2*i + 3*i) as t*i + u and give t.\nAnswer: 324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 71652709 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 298*m**2 + 299*m**2 + 295*m**2 - 891*m**2.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of -s**5\/25 - 7*s**4\/20 + s**3\/15 + 7*s**2\/10 - 6. Factor t(u).\nAnswer: -u*(u - 1)*(u + 1)*(u + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 842?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of i**4\/4 - 5*i**3\/3 - 3*i**2 + 7*i + 1. Suppose 0 = 3*j + m - 17 - 5, -4*j = 5*m - 44. What is the units digit of h(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 194 + 274 = -39*w + 75*w for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 152760?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(468) + 1))**2.\nAnswer: 300*sqrt(13) + 11725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2 + -0.1. Let h(n) = -n**3 + 6*n**2 + 8*n + 3. Let r be h(7). Suppose 3*b = -f, 5*b - 3*f = -8*f + r. What is the closest to b in -0.3, i, 1\/12?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 5 - 27 = h, -h + 26 = 4*i. Let p(l) = 102*l + 139. Is p(i) a multiple of 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8.8 + 3.7. Let y = 0.1 + v. Let z = 3 + -2.7. Sort 0.1, y, z, 0.2 in ascending order.\nAnswer: y, 0.1, 0.2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1.2, -0.3, -2, 2\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1203\/207620 + -2\/1483. What is the common denominator of n and -81\/440?\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g - 21. Let o be r(-11). Let c = o - -37. Calculate the greatest common divisor of c and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 PM and 6:59 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 149 and 2804776.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + 3*z - 5*z)*(14*z + 6*z + 0*z + (-3*z - z + 2*z)*(-1 - 3 + 3) + z - 2*z - 2*z).\nAnswer: -19*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-4))\/(198\/1320)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of -3*w**4\/8 + 47*w**3\/3 - 37*w**2 + 4*w. Give x(10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 451, 855, 1225, 1561, 1863, 2131, 2365?\nAnswer: 2565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22b9 (base 16) to base 8.\nAnswer: -21271","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112)\/(sqrt(7) + sqrt(7) + sqrt(7)*-2 - sqrt(7)))\/(sqrt(96)\/sqrt(48)).\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 36 - -70. Let f(x) = 4*x**2 - 2*x - 4*x**3 + 19*x**2 - 2 + 3*x**3 - 42*x**2. Calculate the remainder when i is divided by f(-19).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m + 34 = -6*m. Let t = 15 - m. Which is the closest to 1\/3? (a) t (b) -2\/15 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -4.4. Which is the second biggest value? (a) 0 (b) t (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*c + 12*c = 0. Let w(r) be the second derivative of 0 + 0*r**2 + 5*r - 1\/210*r**7 + c*r**5 - 1\/150*r**6 + 0*r**4 + 0*r**3. Factor w(k).\nAnswer: -k**4*(k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*o - 11*o + 0*o + 3*o.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 9*p**2 - 188*p + 59. Give u(25).\nAnswer: 984","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -369 + 1009 - 2*n**3 - 469 - 354.\nAnswer: -2*n**3 - 183","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 213433?\nAnswer: 11, 19403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xowihhh. What is prob of picking 2 h?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -6*n - 9. Calculate c(7).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 754 and 44602?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51051 divided by -2431.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -43 + 40. Put 2\/9, 3\/2, 1, b in decreasing order.\nAnswer: 3\/2, 1, 2\/9, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13.54 - -17.54. Let s(m) = -m - 6. Let l be s(-6). Suppose l = 2*k + k - 3. Which is the second smallest value? (a) 2\/17 (b) -0.2 (c) n (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z + v - 8 = 3*z, -4 = 2*z - 2*v for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 r when two letters picked without replacement from {m: 1, r: 2, n: 3, x: 6}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1541976 (base 13) to base 12.\nAnswer: -233bb59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00985 take away 0.4?\nAnswer: -0.40985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -10*c + 112. Let m be q(11). Solve 0 = 2*w - 6, -4*k - m*w = -4*w - 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 1 + (-1 - 1) - (241 + (395 - 668))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/r**(1\/2))**(-3\/32)*r**(-1\/3)*r\/(r*r\/r**(1\/3)*r*r))**9)**(-3) assuming r is positive.\nAnswer: r**(5265\/64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 + -4 + (-39)\/31. Let x = -2273\/279 - w. What is the common denominator of (-43)\/(-8) - 0\/1 and x?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y + 5. Let b be j(0). What is the second derivative of m**2 - m + 2*m**b - m**2 wrt m?\nAnswer: 40*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4801, -4821, -4851, -4891, -4941, -5001, -5071?\nAnswer: -5151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 230*v**2. Let n(w) = 25*w**2 - 52*w - 4. Let c(x) = 224*x**2 - 455*x - 35. Let a(h) = 4*c(h) - 35*n(h). What is -23*a(g) + 2*b(g)?\nAnswer: -23*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, 4, -76, -3 in increasing order.\nAnswer: -76, -3, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -w**4 + 2*w**3 + 38*w + 3*w**4 - 20*w - w**2 - 10*w as z*w**2 + k + c*w + o*w**4 + a*w**3 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 PM and 8:03 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 5, b: 1, q: 2, i: 1}. What is prob of sequence qhhh?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18456.\nAnswer: 2, 3, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.3 and -1396.\nAnswer: -1396.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 238411 and 4933799?\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-48)\/44)\/((-26)\/143)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p + 2. Let s be 12\/(1 - 4) + 2. Let m be d(s). Suppose -a = -2*j + 4, a + 0*j = m*j - 8. Solve 3*x + 10 = -c, -6*c + c + 10 = a for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 2*g - 4 = -2*t, 3*t = 2*g - 11 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3083*u**2 + 8114*u**2 + 2869*u**2 + 2.\nAnswer: 14066*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -810, 1\/4, -11, -1.51, 4?\nAnswer: -1.51","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/90324 and -31\/602160.\nAnswer: 1806480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8888 in -0.05, 0, 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 0. Suppose 6*u = 27 - 9. Suppose 0*k - 44 = -3*k + t, k - u*t = 20. Solve k = 5*q - 2*s - 2*s, 0 = -3*s - m for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5.288 and 12.8.\nAnswer: -67.6864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -26*u + 160 + 22 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 308\/(-21) - (121 - (-3636368)\/(-26796)).\nAnswer: 3\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -165 less than -115?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(135)\/sqrt(5) + sqrt(36)\/(sqrt(60)\/sqrt(5)) - (4 + (0 + sqrt(297)\/sqrt(11))**2 + 0).\nAnswer: -33 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ay when two letters picked without replacement from aannyi?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 252 and 308?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 38973315 to the nearest integer?\nAnswer: 339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 12:16 AM?\nAnswer: 10:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -61*a**2 + 8669*a + 7716. Give j(143).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 10:27 PM?\nAnswer: 8:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -467 = 11*b - 12*b. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-one fifths of a litre?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 277*o**3 + 3*o**2 + 5*o + 1. Let j be t(-1). Is j greater than -279?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -290101 - 124425 = -7147*h for h.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 76349 (base 10) to base 8\nAnswer: 225075","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -4, 6, 14, 14, 0, -34, -94?\nAnswer: -186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 - v + 25. Suppose -l + 17*m - 6 = 19*m, -5*l = m + 3. What is i(l)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 143.6 - 144. Let p = 4.67 - -0.33. Let d = -1.3 + 0.3. Put n, p, d in decreasing order.\nAnswer: p, n, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-22)*198\/36?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (-20 + 31 + 7)) + 50?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000024321 rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(132) - (sqrt(132) - 5*(sqrt(132) - ((sqrt(132) + sqrt(132)*1 - sqrt(132) - sqrt(132)) + sqrt(132)))))*-4)\/(4*sqrt(300)*1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 250 - 237. Is -0.043 less than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 5 = -3*r, w - 24 = 2*r - 6*r. Suppose 2*m - w + 0 = 0. Which is the nearest to 1? (a) -3\/2 (b) 0.4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 11:09 AM?\nAnswer: 3:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/10 + -1 + (-136)\/(-10). Suppose 2*f + v = 3*f - 5*p, -2*f + 69 = 5*p. Let r = -15 - f. Is r >= -42?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1))**(12\/5)*z**5\/(z*z**(-3\/5)) assuming z is positive.\nAnswer: z**(11\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (35\/((-3920)\/(-32)))\/((-2)\/(-6)).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-21)\/2 - -3)*-2. Let t be (8\/(-3))\/((-10)\/a). Suppose 0*p - t*p + 20 = 0. Solve i = g - 5, -p*i + g = 2*g + 19 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 5, 3, -19, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 3 + 2. Let l = z + -3. Suppose 2*i - 40 = -3*h - l*i, 0 = 3*h - i - 35. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**3 + 83*k**2 - 1671*k + 4293 = 0. What is k?\nAnswer: 3, 27, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that o**3 - 105208*o**2 + 946755*o + 3787164 = 0.\nAnswer: -3, 12, 105199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -53*n - 1158. Is c(-95) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -403*a + 8510 = -10431 for a.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 204776772 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.59 - -3.4. Let i = -80.01 - -80. Let g = v + i. Which is the third smallest value? (a) -0.3 (b) g (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of 0 + 4*r**2 + 0*r + 0*r**3 + 0*r**4 - 1\/15*r**5 - 1\/30*r**6. What is the third derivative of s(t) wrt t?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/10 - (-182)\/5. Suppose 2*m + 14 + 72 = q, -3*q + 3*m = -264. What is the greatest common divisor of q and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -23*h**2 - h. Let p(c) = -5*c. Calculate p(l(k)).\nAnswer: 115*k**2 + 5*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 - 4. Let x be ((-84)\/2)\/(-3 + 42\/16). Calculate the greatest common factor of y and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of 25*l**3\/6 - l**2\/2 + 5*l. Let b be f(-7). Let h = 1004 - b. What is h rounded to the nearest 100?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1006*v - 25879 - 277 = 0 for v.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 15 = -0*j. Suppose -48 = 10*i - 22*i. Suppose 0 = r + 3*h - 15, i*r - j*h + 3*h = 32. What is the lowest common multiple of 29 and r?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 2*q - 22, 27 = 2*m - 6*m + q. Let g(p) = -p. What is the least common multiple of 14 and g(m)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -f**3\/9 - 352*f**2\/3 - 5255*f\/9 = 0.\nAnswer: -1051, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (54\/273)\/(3\/77*5918\/(-1076)).\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 + 0*q**2 + 3 - 9*q + 2. Let p be r(9). Suppose 4*v - 77 = 5*x, p*v + 3*x = 77 + 47. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275)*-1)**2 + sqrt(11) + 1 + (sqrt(66)\/sqrt(6))**2.\nAnswer: sqrt(11) + 287","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 - 7*j**2 - 9*j + 5. Suppose 51 = 4*a + 19. Let g be q(a). Calculate the remainder when 14 is divided by (0 + -1)\/(g\/24).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18866063, 37732118, 56598183, 75464264, 94330367, 113196498, 132062663?\nAnswer: 150928868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56731 is divided by 102.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11738 (base 14) to base 12.\nAnswer: -20786","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*p - 91*p + 75 - 112 = 155 for p.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -j**3*o**3 + 359*j**3*o*u - 728672*j**3*u**3 - 4*j**3*u**2 + j**2*o*u + 13*j*o**3*u**3 - 20*j - u**2 + 2 wrt u.\nAnswer: -4372032*j**3 + 78*j*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1332697 and 335?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/474 (b) -0.1 (c) -12 (d) -5 (e) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 11:19 PM?\nAnswer: 4:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 288\/162*((-20)\/(-64))\/((-25)\/(-30)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50069163.\nAnswer: 3, 227, 73523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 4*l**2 - 752*l + 4368 = 0.\nAnswer: 6, 182","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 7. Let m = w - 1.94. Are m and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35482, -70979, -106490, -142021, -177578?\nAnswer: -213167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 723178483?\nAnswer: 101, 283, 25301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v + 2 = o + 4*v, -5*o + 22 = -3*v. Suppose l - q = -l + 6, -l + 3 = o*q. Factor 5*c**4 + 5*c**2 + 13*c**3 - 14*c + 14*c - l*c**3.\nAnswer: 5*c**2*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*m - 91*m = 59*m - 2640 for m.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, w: 5, l: 3}. Give prob of picking 3 w and 1 z.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5643 and 173888?\nAnswer: 4694976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36 + 6*r - 38 + 111 - 37.\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*3*((2 + sqrt(3872))**2 + sqrt(3872))*5 + 2.\nAnswer: 6600*sqrt(2) + 116282","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 192 = 3*v. Let n be v*(5 - (-80)\/(-15)). Solve -o - k + 12 = 2*k, 4*o + 4*k - n = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + -1 + 1 + -3. Let h = 0.7 + -5.7. Let b(l) = -l + 8. Let o be b(7). What is the closest to c in h, -1, o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1976267?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -51*o**3*p**2*x**2 + 70960*o**3*p**2 - 2*o**3*p*x**2 + 3*o**3*p*x + 3*o**2*p + 8147*o*p*x + o*x**2 wrt p?\nAnswer: -102*o**3*x**2 + 141920*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/20 of a tonne?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -285*l**3 + l**2 - 684*l wrt l?\nAnswer: -1710*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(24)*-2)\/sqrt(12) - sqrt(50)*-2)**2 - (sqrt(32)*-1 + sqrt(32) - (1 + sqrt(32))).\nAnswer: -127 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 117453679?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1484192553 a multiple of 4377?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 12)*(-2*c + 0 + 0).\nAnswer: 26*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 1 - 642698178*u**2 + 642698190*u**2 + 1.\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 121*x - 858. Let n be l(7). Which is the smallest value? (a) -2\/11 (b) n (c) 0.2 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 153*w - 99*w + 131*w + 12*w.\nAnswer: 197*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 253*o**2 + 7*o + 531474.\nAnswer: 506*o + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 123823 or 75?\nAnswer: 123823","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 69 + -31. Suppose 3*b = 2*b + 63. Let a = b - k. Is a a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 1, -5, 2\/943, -3.\nAnswer: -5, -3, -1\/2, 2\/943, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*y - 13*y + 18*y.\nAnswer: 24*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*c = 14 - 4 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l + 0*l - 2*l)*(0*l**4 + 0*l**4 - 4*l**4) + (1 + 1 + 0)*(-2 - l**5 + 2).\nAnswer: -6*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o**2 + 1536*o + 1540 = 0 for o.\nAnswer: -1, 385","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 619, 2330, 5179, 9166, 14291, 20554?\n\"Answer: 569*n**2 + 4*n + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4.6? (a) 1\/11 (b) 0.3 (c) -3\/2 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of -2*r**2 + 21*r - 2310. Let f(p) = -3*p. Determine t(f(y)).\nAnswer: 12*y + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 7:57 AM?\nAnswer: 4:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101101000101000001111 (base 2) to base 8.\nAnswer: -5505017","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33 + -8. Is 3\/(-5) + 13040\/c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25662750 divided by -4277125.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 10555*g**3 - 2*g**2 + 8*g. Let q be o(-6). Round q to the nearest one hundred thousand.\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-4)\/6)\/((-48)\/(-126))*-20?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.6 in 1\/3, 0.3, -1\/4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13\/4 in -1\/2, 0.1, -0.7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of 5*x**4\/24 - 125*x**3\/6 + 5*x**2 + 587. Give p(25).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of -5*m**2 + 5. Let f(s) = s. Determine i(f(d)).\nAnswer: -10*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 4 = 2*b. Let x be (-2 - 1)*b\/6. Let z = 7 + x. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 46.70404 millennia?\nAnswer: 467.0404","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-36 + 3555\/90)*(-6)\/(-14). Suppose 0 + 0*w - 3\/4*w**4 + 9\/4*w**2 - s*w**3 = 0. Calculate w.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1554230 and -9.\nAnswer: -13988070","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 888 by 8.\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 12 - 81. Let d be (2\/4)\/(l\/552). Let h(r) = -2*r**3 - 3*r**2 - r + 2. Let u be h(-2). What is the greatest common factor of d and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1273383 divided by 1359?\nAnswer: -937","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Is 13613 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i + 6. Let f(d) = d**2 + 7*d - 6. Let s be f(-8). Suppose -s*p = 5*l - 39, l = -0*p - 4*p - 3. What is the smallest common multiple of y(0) and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.218 + -1.718. What is the fourth biggest value in 5, 2, g, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of 1\/3*d**3 + 0 + 1\/2*d**2 + 2*d. Determine x(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15.6 - 17.8. Let x = -2.204 - l. What is x rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 169355 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1974\/2 - (-27 - -21)?\nAnswer: 3, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -19, -17, -15, -13, -11?\n\"Answer: 2*q - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.126 less than 115?\nAnswer: 114.874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6.62 - 9.62. Do i and -0.063 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -12 - -17 - (-4)\/(-2). Put w, 4, -1 in descending order.\nAnswer: 4, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6.91 - -6.61. Suppose 3*x - 5*x = 6. Which is the second biggest value? (a) -4 (b) 2 (c) r (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 + -5 - 6 - (-16 - -10)) + -1 - 109?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15137580 is divided by 1087.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 + 3*v + 9. Let u be b(6). Let s = -7 - u. Let t(o) = -5*o**2 + 0*o**2 + 4*o**s. Let k(q) = 26*q**2. Determine k(t(z)).\nAnswer: 26*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -163*m**3 + 46*m**3 + 11*m**3 + 51*m**3 + 52*m**3.\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.03*46\nAnswer: -1.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 i when two letters picked without replacement from {v: 3, c: 2, x: 2, i: 1, k: 2, s: 2}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from {m: 4, x: 2, n: 2, s: 1, v: 4, b: 1}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 23099 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.10225 * -1357\nAnswer: -138.75325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22 + 22. Suppose l*y - 6 = 2*y. Let u be (-5 + 4)*y\/3. Let j(d) = 8*d + 3. Let z(t) = -t - 1. Determine u*j(q) + 6*z(q).\nAnswer: 2*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -11b (base 14) to base 12\nAnswer: -165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 978 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from qqqwwfwqqqfqwwqq.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w - 135 + 147 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 46 - 42. Find the third derivative of -4*l**d + 35*l**4 - 15*l**2 - 18*l**4 wrt l.\nAnswer: 312*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/9 (b) -4 (c) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of -v**4\/4 + 2*v**3 - 5*v**2\/2 + 3*v - 12. Let j be a(3). Let s be (-2)\/4*(-66)\/j. Are 2 and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 15152449?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (1*(64\/(-2))\/4)\/((-21)\/105)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -6 (c) -245.24 (d) -2.3 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p**3 + 65*p**2 - 96*p + 171. Calculate m(-34).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -23*x - 1216. Determine a(-53).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001680294 rounded to seven decimal places?\nAnswer: -0.0000168","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27 - -26.9. Which is the biggest value? (a) 0.25 (b) n (c) 1\/5 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1283238 by 213873.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (sqrt(12))**2) + -3 + 3 + sqrt(24)\/(sqrt(8) - sqrt(8)*-1) + 4.\nAnswer: -8 + 3*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 - 113*s**2 - 424*s + 3. Determine g(-4).\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -235 and 0.22?\nAnswer: -51.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2278 - 2238. Calculate the lowest common multiple of 24 and j.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -437 + 439. What is the nearest to x in -1\/7, -16, 4, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 181468221.\nAnswer: 3, 11, 19, 289423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*v - 9*v + v**2 + (2 - 5 - 3)*(-37*v**2 + 88*v**2 - 33*v**2)*(2 - 3 - 1) + 0*v + 2*v + v**2 - 3*v**2.\nAnswer: 215*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that j**3 + 311*j**2 - 8426*j - 8736 = 0.\nAnswer: -336, -1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 96 - 120.2. Let u = -4.7 - k. What is u rounded to 0 dps?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 24\/(-16) + (-9)\/30 + 3\/(-15). Put 2, v, 3, -4 in descending order.\nAnswer: 3, 2, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o and 1 v when four letters picked without replacement from vohhvovhvoovho.\nAnswer: 50\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of 0*g**5 - 8*g**2 + 0 + 0*g**3 + 0*g - 1\/252*g**8 + 0*g**4 + 0*g**7 + 1\/90*g**6. Factor q(a).\nAnswer: -4*a**3*(a - 1)*(a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 5 - 1. Suppose 0 = -n*v + v + 24. What is the remainder when 34 is divided by v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (t - 3 + 3)*(-9 + 377 + 52 - 132 + 365) to the form m*t + w and give m.\nAnswer: 653","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/994 and 51\/372679.\nAnswer: 5217506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -4*g**2 - 4*g - 5. Let h(q) = 23*q**2 + 23*q + 29. Calculate 6*h(y) + 34*r(y).\nAnswer: 2*y**2 + 2*y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 PM and 11:22 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -117*d**2 - 10*d**3 + 117*d**2 - 1 to the form h*d**2 + a*d + y*d**3 + v and give y.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*u + 28*u - 62 = 373 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1604728633 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 304?\nAnswer: 304","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 458*f + 450*f - 915*f - 241 to the form c + p*f and give p.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 677 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-30)\/18)\/((-1)\/(-354)). Let i = k - -79652\/135. Let h(u) = -14*u**2 + 352*u - 50. Let z be h(25). Do z and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1740499\/55 - 31641. Which is smaller: z or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000382388362 to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.5 and 0.01072.\nAnswer: -0.48928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7242917?\nAnswer: 11, 658447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 281627328?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 2*i - 8 - 2 = 0, -4*t + 5 = 3*i. Let u(c) = 5*c**2 - c + 1. Let q be u(1). Sort q, t, 1.\nAnswer: 1, t, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 35 + 7 = 0. Suppose -s = 5*x - n - 224, -3*n + 192 = 5*x. Suppose 0 = -4*h - d + 27, 3*d = -5*h + x. Solve 5*u + 16 = h for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 294644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**13\/((o*o**(-1\/13))\/o))**(1\/3) assuming o is positive.\nAnswer: o**(170\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**3 - 40*y**2 + 156*y.\nAnswer: -4*y*(y - 3)*(y + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, -0.41, 4, 2 in decreasing order.\nAnswer: 4, 2, 3\/2, -0.41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 23*m**2 - 4483*m + 105. What is the units digit of o(207)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (15\/10)\/((-6)\/(-4)). Let q = r + -1. Suppose q*u + u - 93 = 0. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 3*y**2\/7 + 6*y\/7 = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10107 + 5?\nAnswer: 10113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23735005 and 803915.\nAnswer: 7805","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 - 7*h**2 + h + 1. Let l be g(-7). Let r = l + 10. Suppose -5*m = -r*s + 5, -s = 4*s + 4*m - 37. List the prime factors of s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 - 3*w**3 + 5*w + 7*w**2 - 8*w**2 - 2*w - 5*w in the form y*w + d + x*w**3 + z*w**2 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 15) in base 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 + 15*g - 18. Calculate q(12).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -145, -870, -2617, -5824, -10929?\n\"Answer: -73*u**3 - 73*u**2 + 5*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115*p = 112*p + 12. What is the nearest to 2 in 2\/7, p, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-688)\/1075*(-36)\/(-16). What is the second smallest value in -0.5, 2, 1\/7, w?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-8) - ((-22)\/(-110) + (-2346)\/80). Suppose 0 = 2*f - 3*f + 10. Solve -5*w - b = -4*m - f*w, -m - 4 = -w for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000070814796 to 5 dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -236473, -236472, -236471, -236470, -236469?\nAnswer: -236468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 4:01 PM?\nAnswer: 12:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*q**3 + 0*q**2 - 35*q**4 + 26*q**4 - 2*q**3 + 6*q**2 as t*q**3 + f*q**2 + l*q**4 + j*q + v and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-2)*4\/3. Let c(z) = 4*z**2 - 2*z - 6. Let g be c(i). What is the tens digit of g\/49 + (-1)\/(14\/(-542))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31 - -1310100?\nAnswer: 1310131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 1. Let p(f) = -f. Let d(j) = -p(j) + t(j). Let i(l) = 5*l + 8. Give -6*d(r) + i(r).\nAnswer: -r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13.95656mg to kilograms.\nAnswer: 0.00001395656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 67 - 64. Suppose 0 = -q*i - h + 111, -6*i + 3*i = -4*h - 96. Calculate the lowest common multiple of 20 and i.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/(-200))\/((-99)\/132)*6\/1\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 57153543.3s?\nAnswer: 94.49990625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2219*q + 1916 = -303 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 65325375.3 rounded to the nearest 1000000?\nAnswer: 65000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 616 = -10*f + 3*f. Suppose 0*h = -4*h + 56. Is (f + 2)*h\/(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 0, -3, 2, -15 in decreasing order.\nAnswer: 8, 2, 0, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f*f**(-2\/7)*f*f)\/(f\/(f*f**(-5\/3))))**25)**(-1\/2) assuming f is positive.\nAnswer: f**(-1075\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -22. Let f = s + -10. What is the remainder when 32 is divided by f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133069787 a multiple of 350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -210 + 210. Solve w + 22 - 20 = x for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - ((-3 - 2) + -2) - 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2882 + -73?\nAnswer: 280e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 5 + 1. Let d(a) = -1 + a + 6*a + a**2 - 4*a. What is d(k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 3 = 9. Let d be -1 + -2 + l + 18. What is the units digit of 200\/d*(-6)\/(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4928, -19547, -43860, -77867?\nAnswer: -121568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (44\/440)\/((-2)\/(48\/8*16\/72))?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25716703?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -26.068, 3\/7, 0.03?\nAnswer: -26.068","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 74, -0.2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10*1\/(-8) - (-54)\/(-24).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-18))\/(-2*20\/8)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 51700388 and 116?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 2) to base 8\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1050, 1064, 1078, 1092?\nAnswer: 1106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12*u + 0*u - u)*(2 + 8*u + 8 - 8) to z + x*u**2 + n*u and give x.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7190 is divided by 2391.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 146159.937 nanoseconds in days?\nAnswer: 0.0000000016916659375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, i: 3, u: 4, v: 1, f: 5}. What is prob of sequence iefi?\nAnswer: 5\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/9, 0, -12, -8, 24, -3.1?\nAnswer: -3.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3 (b) -0.1 (c) -4\/5 (d) 1172 (e) 2836 (f) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 26458962 and -4552.\nAnswer: 26454410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 587266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(140)*1)\/sqrt(4) - ((-2*sqrt(175))\/sqrt(5) + sqrt(35) - sqrt(35)))\/(sqrt(125) + (sqrt(125) + sqrt(125)*1)*-2).\nAnswer: -sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 - x + 2. Let o be z(0). Suppose -4*j + 0 = -4*r + 4, j - 5 = -o*r. Solve -4*t = m + 3, -3*t + m - r*m = 1 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, q: 1, d: 1}. Give prob of picking 1 q and 1 j.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 105 and 13251714.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1053) + 1)*-5 + (sqrt(1053) - (3 + 2*sqrt(1053))) + -5)**2.\nAnswer: 1404*sqrt(13) + 38077","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(110)*-4 + sqrt(110) - 4*(sqrt(110) + -1*sqrt(110) + sqrt(110)))\/(sqrt(30)\/(sqrt(6)\/(sqrt(2)*-1))))**2.\nAnswer: 539","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 407*d**3*r**3 - d**3*r**2 - 25*d*r**2 + d*r wrt r.\nAnswer: 2442*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 + 11*m - 24. Let p be j(-13). Let o(z) = z + 0*z + 1 - 2*z**3 + 2*z + 2*z**2 - 4*z. Calculate o(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*s**3*u + 2*s**3 - 217*s**2*u + 826*s**2 - 2*s with respect to u.\nAnswer: 8*s**3 - 217*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = z + 273, -2*r + 2*z - 205 = -128 - 215 for r.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 5967*12.5\nAnswer: 74587.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-6*sqrt(170)\/((sqrt(70)*2 + sqrt(70))\/sqrt(7)).\nAnswer: -12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 76400 by -5.\nAnswer: -15280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or 160197174?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 84496361 to the nearest integer?\nAnswer: 439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, o: 4, x: 1, n: 4, i: 5, e: 4}. What is prob of sequence nn?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-5) - (-8)\/5. What is the first derivative of 2*m**h - 7 + m**2 + 6 wrt m?\nAnswer: 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s - 3. Let b be d(3). Let o = -15 + b. Is (-978)\/(-15) + 3\/o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 55460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*m**4\/2 - 971*m**3 - 87120*m**2 + 19213328*m + 4273920 = 0. What is m?\nAnswer: -140, -2\/9, 144, 212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3064239?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4033110424 (base 5) in base 11?\nAnswer: -4630948","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 67*o**2. Let u(r) = 11*r**2. Determine u(x(d)).\nAnswer: 49379*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -25626 to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112220202221 (base 4) to base 7.\nAnswer: -101301014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 2*c + 30, -3*z = -0*z - 4*c - 40. Let m = z - 12. Solve -5*u - m = -3*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n**9)*n*n**(-4)\/n*n*n*((n**(1\/4)*n*n)\/n*n*n)**(7\/3))**(-7) assuming n is positive.\nAnswer: n**(287\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11840 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-11))\/((-11678)\/4239114)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 + x**2 - 11. Suppose 5*p + u = -1, -1 = 5*p - 4*u - 5. Suppose y - 11*y = p. Determine o(y).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6419028370.\nAnswer: 2, 5, 23, 27908819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - 18. Let s = 19 + o. Let v be 0 - 8\/5*(-100)\/(-60). What is the closest to s in 1\/11, -0.3, v?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c**3 + 55753*c**2 + 390234*c + 668952 = 0. Calculate c.\nAnswer: -55746, -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 362922 and 112.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of 2*p**3\/3 - 19*p**2\/2 + 30*p + 91. Let j be y(8). Solve -j = -4*m - 18 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 a factor of 1144113194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 PM and 9:57 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 701922.8ng in milligrams?\nAnswer: 0.7019228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/912)\/((-4)\/(-1240)). Let y = -1\/76 + r. Which is the third smallest value? (a) 5 (b) 4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*o + 14683 - 647. Suppose 2*f - l = 104 + 153, o = 5*f + 2*l. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*t)*(-1 + 3 + 0 + 3 - 4 + 2 + (-2 + 3 + 1)*(-6 + 1 + 3)) + (6 - 4 - 3)*(-6*t + 2*t - 3*t) - 2 + 2 + 2*t.\nAnswer: 11*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2826 - -1147359\/406. What is the common denominator of j and -71\/12?\nAnswer: 2436","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.828 + 2.128. Put -1, 6, q, -0.3 in decreasing order.\nAnswer: 6, q, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 11117, 3\/13, 5?\nAnswer: 11117","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 33\/(-7) - (-8)\/(-28). Let w(i) = -9*i - 201. Let x be w(-22). What is the smallest value in x, c, 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0518 times 0.22?\nAnswer: 0.011396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23405474?\nAnswer: 2, 641, 18257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -38680 and 0.3?\nAnswer: -11604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*r**2 - 1 + 4*r**3 + 11*r**2 + (-3*r**3 - 4*r**3 + 5*r**3)*(6 - 1 + 1).\nAnswer: -8*r**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 97*a - 2218. Let d be m(23). Solve -2*b + o = -2, -b = 8*o - d*o + 8 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c**3 - 8*c**2 - 4*c - 13. Give k(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/1*-5)\/(((-7955)\/(-444))\/(-43)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(-6) - (45\/6)\/15?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3\/8 (b) 5 (c) 3 (d) -2\/387\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2 + 492*z + 20172.\nAnswer: 3*(z + 82)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2483757*r**3 - 488484019*r**2?\nAnswer: 14902542","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*c + 15*u - 40, 3*c - 23 + 31 + 3 = -0*c - 4*u for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -540 divided by 135\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of 7\/2*i**2 + 0 - 15*i - 28\/3*i**3. Let n be r(-3). Calculate the highest common divisor of 70 and n.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 6*k**2 - 4*k + 2. Let j = -3 + 5. Let x = -161723 + 161735. Calculate the lowest common multiple of g(j) and x.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7456? (a) 0 (b) 3 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14410, 29067, 43724, 58381, 73038, 87695?\nAnswer: 102352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 399823?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.3 and -429594.\nAnswer: -429594.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 26\/5 of a meter?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v. Let b(q) = -q - q**2 - q**3 + 3*q**3 - 2*q + 2 - q**3. Give -b(c) + 3*j(c).\nAnswer: -c**3 + c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 4 = -2*x. Suppose 4*z = i + z - x, -i + z = -11. Is i a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -18*k**2*y - 78*y wrt k?\nAnswer: -36*k*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2a - -1243aa4?\nAnswer: 1244023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-5)\/((-55)\/196) + (-8)\/(-44) and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/8 of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 4*p - 3. Let o(a) = -9*a + 7. Suppose 4*h = -11 + 27. Let d(l) = 5*l - 4. Let u(v) = h*o(v) + 7*d(v). Give r(x) + 3*u(x).\nAnswer: x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of b**4 + 28*b**3 - 345*b**2 - 2*b - 575. Find the second derivative of j(y) wrt y.\nAnswer: 24*y + 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*b = -21*b - 36. What is the tens digit of b - 1 - (-66 - -2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 - -44. Suppose 2*f + 5*p = -f, 5*f + p = 0. Suppose f = -q - q + r. What are the prime factors of q?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004325288009 rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117)*-3*-4)\/(((sqrt(45)\/sqrt(5) - sqrt(9)) + sqrt(9))*2))**2 + -2.\nAnswer: 466","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a milligram in micrograms?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 148.7915 rounded to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6736?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8904*a**2 + 12448*a wrt a.\nAnswer: -17808","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 106721 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/sqrt(2)*-5)**2 + sqrt(45)\/(sqrt(81) - sqrt(9)).\nAnswer: sqrt(5)\/2 + 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/392 and -13\/3066.\nAnswer: 85848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -4*k - 2*l + 7*l, 0 = 2*k - 4*l + 10. Solve 4*z + k = 5*u + 20, 2*u = 6*z - 6 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5377 and 3629.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 225277?\nAnswer: 13, 31, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uouuuuuyoooouoyuou. What is prob of picking 1 y and 2 u?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13531, 16019, 18507, 20995?\nAnswer: 23483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75) + -5 - (0 + sqrt(27)) - (-2*sqrt(2916) + sqrt(2916))\/(sqrt(72)\/sqrt(54)))**2.\nAnswer: -290*sqrt(3) + 2548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 791303 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0508 from -64.\nAnswer: -64.0508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*x + 12*x - 3000. Suppose -5*t + 4740 = -4*r + x, -2*t - r = -1643. Suppose t = 2*u + 2*u. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-115)\/230)\/(223\/(-4))\nAnswer: 2\/223","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 106337, 212811, 319419, 426161?\nAnswer: 533037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 862529?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 7:36 PM?\nAnswer: 8:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 300 - 179. Let g = h - 66. Suppose -2*k - g = -6*k + 5*l, 3*l = 4*k - 49. What is the highest common factor of k and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 41 - 36. Let l be (-3 + c\/2)\/(7\/(-8)). Factor -6\/7*w**2 + 0 + l*w + 2\/7*w**3.\nAnswer: 2*w*(w - 2)*(w - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 2:12 PM?\nAnswer: 8:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dxddddhxdhd. Give prob of picking 1 x, 1 h, and 2 d.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1936 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 + 7*s - 4. Let z be d(6). Suppose z = -3*l - 2*j, 2*j + 2 = 3*l - 0*j. List the prime factors of (0 - (l + -23)) + -2.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 3*i = 0. Suppose 0 = -2*u + 5*q + 27, 2*u + i*u - 47 = q. Is u a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 182 = -179 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qfqqqfq. Give prob of picking 4 q.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2 and -293.6.\nAnswer: -293.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 2080, -1, 384, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7142, 13363, 19584?\nAnswer: 25805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 337404*n**3*q**3 - 2*n**2*q**3 - 313*n**2 - 18*n*q wrt n.\nAnswer: 2024424*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/(-2)*8\/10. Suppose 2*y + 2*y = 84. Suppose -o*f = -f - y. Calculate the greatest common divisor of f and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p - 3. Let o be x(-6). Suppose -3 - 3 = -o*u. Let y = 467.09 + -467. Sort -1, u, y in ascending order.\nAnswer: -1, y, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a day in minutes?\nAnswer: 864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, x: 7}. What is prob of sequence xjxj?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-6\/7)*b**(6\/11))**(-27\/4) assuming b is positive.\nAnswer: b**(162\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -88 + 89. What is the highest common divisor of d and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001644277 rounded to 7 dps?\nAnswer: 0.0001644","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.4522ml in litres?\nAnswer: 0.0154522","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of t**6\/180 - t**5\/10 + 3*t**4\/4 - t**3\/3 - 3. Let m(d) be the third derivative of y(d). Find u, given that m(u) = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-40)\/30 + 4\/(-6) - -8. Let g be (9\/8 - 1) + t\/208. Let i = -0.3 - 0.2. Put i, g, 0.1, 5\/3 in decreasing order.\nAnswer: 5\/3, g, 0.1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -7, 2\/11, -4\/7?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23636 = -726*f + 104*f for f.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -61? (a) -8\/5 (b) 7 (c) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.218056 rounded to 4 decimal places?\nAnswer: 0.2181","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -246 - -248. What is the third derivative of -1 + v*i**3 + 37*i**4 + 54*i**2 - i**3 + 0 - 39*i**4 wrt i?\nAnswer: -48*i + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 4*o = -9, -x + 3*o + 15 = -8. Let s(y) = 3*y**2 - 6*y + 1. Let k(z) = -3*z**2 + 5*z - 1. Determine x*s(c) + 6*k(c).\nAnswer: -3*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 5*p**2 - 143*p + 361. What is the remainder when i(26) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 317449 and 22914046.\nAnswer: 252054506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-4)*21\/(567\/(-72)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.386455 years to months.\nAnswer: 100.63746","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-15 - -28) + 0 + -20\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 43*u**2 - 3*u + 2. List the prime factors of n(1).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -64 - -12. Let c = f - -85. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 - 5*n**2 - 5*n - 6. Let s be b(-4). Suppose 3*t - 82 = -4*q + 4, t + 48 = 2*q. What is the remainder when q is divided by 343\/28 + s\/8?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24535 is divided by 598.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2*m - 7. Let r be w(-5). Suppose o + 8 = -3*x + r*o, x + 4*o - 16 = 0. Suppose -5*v - 13 - 7 = -h, 20 = -4*h - 5*v. Solve -d - 2 + h = x for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 12*h - 7*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4148, -9287, -14426, -19565, -24704?\nAnswer: -29843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4967*j**3 + 3378*j**2 - j wrt j.\nAnswer: -29802","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, d: 1, f: 5, u: 2, c: 2, k: 2}. Give prob of picking 2 f.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2. Let o(t) = -85*t**2 - 2*t. What is o(a(p))?\nAnswer: -85*p**4 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2. Let q(l) = -444636*l. Give d(q(o)).\nAnswer: -197701172496*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s**2\/8 - 320895609*s\/8 - 80223903\/2 = 0.\nAnswer: -1, 106965204","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 360 divide 45360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3580\/7 + 516. What is the common denominator of m and ((-3)\/20)\/(15\/(-610))?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1600031 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*x - 18*x + 5. Sort 2, -0.04, x in increasing order.\nAnswer: x, -0.04, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 6121513656?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 12845995 to the power of 1\/3, to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 8*r = -20, -87*j - 4*r + 4 = -84*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.4 and 73368.6011124.\nAnswer: 73368.2011124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*l + 1027 + 3593. Calculate the smallest common multiple of 15 and l.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -10, -15, -22, -31, -42?\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**4 - 1 + 1 - 25*v**3 + v**2 - 1 + 26*v**3. Let i(o) = -8*o**4 + 3*o**3 - 8*o**2 - 2*o + 5. Let h(r) = i(r) + 5*x(r). Factor h(p).\nAnswer: -p*(p - 2)*(p - 1)*(3*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -5. Let u(l) be the first derivative of l**2\/2 + 14*l - 396. Give -11*a(w) - 4*u(w).\nAnswer: -4*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*j + 2*a, 2*j + 15 = -a + 6*a. Calculate the least common multiple of (-30 - -29)\/((3 + j)\/(-135)) and 54.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1507*-2382.\nAnswer: 3589674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of a**6\/15 - a**5\/4 - 3*a**4\/2 - 52*a. Find the third derivative of p(h) wrt h.\nAnswer: 48*h - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w + 4930. Let o(b) = b**2 + 110*b. Give o(x(z)).\nAnswer: z**2 + 9970*z + 24847200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -839.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 399.8106l to millilitres.\nAnswer: 399810.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 + 5*h**2 - 3*h - 2. Let p be t(4). Suppose -2*w = p*s + 2*s - 20, w - s + 2 = 0. Let q = 2 + w. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -66*n*t + 140*n wrt t.\nAnswer: -66*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 3 l when four letters picked without replacement from lllvlv?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 531827 is divided by 31283?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (w - 2*w - w + (0*w - w + 2*w)*(1 - 4 + 4))*(4 - 3 + 24) in the form o*w + u and give o.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1c7 (base 13) to base 14\nAnswer: 19a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28356 - 19392. Is p a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 272954 is divided by 50?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -265 + 132 + 132 - 58*r as b + o*r and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -270 + 1092. Let k = 240 - 736. Let z = k + c. What is z rounded to the nearest ten?\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = 5*q - 10. Let a(h) = -h**3 - 10*h**2 - h - 8. Let u be a(q). Suppose 14 - 78 = -u*t. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1895271 divided by -12893?\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = -3*x - 11. Let r be x*(-1 + 44\/28). Solve -2*s + 0*s = r, 0 = -4*n - 3*s + 8 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + -2 + 2)*28\/21?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -348 - -349.9. Which is the fourth smallest value? (a) l (b) -5 (c) 2\/7 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 38 - 14. Let b = t + 28. Does 13 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 472961266 and 993?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of -1\/56*o**8 + 0*o**2 - 6*o + 0*o**6 - 7\/12*o**4 + 0 + 0*o**3 + 0*o**5 + 0*o**7. Find the third derivative of m(g) wrt g.\nAnswer: -120*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -29*s - 37. Let y(i) = -15*i - 19. Suppose 3*k = -0*k + 6, 32 = 5*z + k. Let r(b) = z*c(b) - 10*y(b). What is the units digit of r(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-8)\/(-78))\/(4\/(-6)). Suppose -2*m = -b - 1, 1015*b = 1014*b - 5*m + 20. Sort -4, -1, f, b.\nAnswer: -4, -1, f, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 15) in base 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*g**4 - 170*g**3 - 395*g**2 + 660*g + 900 = 0. What is g?\nAnswer: -6, -1, 5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of ((-21)\/(-24))\/((-2)\/72)*-28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a3 (base 12) in base 3?\nAnswer: 11120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -g + 4*t + 3, 3*g - 4*t = 36. Suppose 0 = 4*d - 8 - g. Suppose 96031 - 106596031 = d*h. What is h rounded to the nearest 1000000?\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 11 = -3*s + s, 5*s + 10 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -6*q. Let o(w) = -12*w + 5*w + 4*w + 6*w. What is o(x(b))?\nAnswer: -18*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (32\/(-7) - (-30)\/(-70))\/1. What is the third biggest value in 1, -1\/3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 4*u = -13, 4*z - 3*u = -4*u + 8. Sort z, 5, 2, 4 in increasing order.\nAnswer: z, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of -5*a**4\/4 + 11*a**3\/2 - 11*a**2. Let x(u) = u - 1. What is -2*n(w) - 66*x(w)?\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1158313, -1158268, -1158195, -1158094, -1157965, -1157808, -1157623?\nAnswer: -1157410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1505 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40 divided by -399422.\nAnswer: -20\/199711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -0.03, 39, 18, 2?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 25*d**2 - 57*d + 29. What are the prime factors of h(31)?\nAnswer: 3, 17, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of 119*k**3\/2 + 6*k + 151. Let d(u) = -22*u. Determine j(d(s)).\nAnswer: -7854*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -78989, -157946, -236903, -315860, -394817, -473774?\n\"Answer: -78957*p - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 - 7*y - 2. Let h be a(-7). Let b be 13*(h - 1\/(-1)). Round b to the nearest integer.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/2144 and 11\/16.\nAnswer: 2144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from gggggcqqegqxqgeqqx.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1130 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 369282.3246 - 368464.3246041. Let q = -818 + x. What is q rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -937 - -291. Let l = m - -646.3. Which is the closest to 1? (a) -1\/11 (b) l (c) -147\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = 27*o - 32*o. Suppose -3 - 3 = -2*r. Calculate the lowest common multiple of r and o.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (-183 + 173 + (-3 - (-43 + -3)))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(175) + -2 + 1 + 3 + (sqrt(175) - (-3 + sqrt(175)*-2 - sqrt(175) - sqrt(175))) + 1)**2.\nAnswer: -19008 - 1080*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -39, 83, -3\/2 in decreasing order.\nAnswer: 83, -3\/2, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 6. Suppose 5*h - 15 = d, 3*h + u*d - 4*d = -8. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-70)\/(-7) + -5 + (4221\/(-117))\/7?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of g**7\/280 + g**6\/360 - g**5\/120 - 197*g**4\/12 - 43*g. Let c(t) be the third derivative of b(t). Determine c(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11163 + -11202. Let s(c) = -c**2 - 43*c - 161. What is s(f)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*y**4 - 2*y**4 - 2*y**4)*(512 - 109 - 268) as h*y**2 + s + n*y + u*y**4 + w*y**3 and give u.\nAnswer: -270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -69485.355 rounded to the nearest 100?\nAnswer: -69500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1061406 and 144?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of z**3\/3 - z**2\/2 - 9*z + 14. Calculate t(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59059443 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of h**3\/6 + 3*h**2. Suppose 0 = 2*c + 24 - 6. Let v(i) = -3*i. Let g(l) = c*t(l) + v(l). What is g(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + -18 + (11 - 30) + -26?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6592, 13210, 19828, 26446, 33064, 39682?\n\"Answer: 6618*u - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.04 - 2. Let i = b - -4.96. Let j = i - 1. What is the nearest to -0.1 in 3\/4, j, 5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*l + 776 + 184 = 0. What is the remainder when l is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 2)*(0*x**3 + x**4 + 0*x**3) - x**4 - 2*x**4 + 5*x**4 + 3*x + 11*x**4 - 3*x.\nAnswer: 14*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 26, -4, -2 in decreasing order.\nAnswer: 26, 1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 348*z**3 + 353*z**3 + 2*z**4 - z**2 + 4*z - 699*z**3 as i*z**4 + q*z**2 + n*z + g*z**3 + f and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-5*(sqrt(425) + 4*(sqrt(425) + -1 + sqrt(425)) - ((sqrt(425) - (-1 + sqrt(425))) + sqrt(425) + 3)))**2.\nAnswer: -80000*sqrt(17) + 3408000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -44 - -40. What is the closest to z in 0.4, -4, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/88)\/((-5181)\/13816)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.015656771 rounded to 5 decimal places?\nAnswer: 0.01566","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 + 24*p + 3. Let k be x(0). Let u be (-4 - -1) + 288\/(-12). Sort 2\/11, k, u.\nAnswer: u, 2\/11, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*x + 3*l + 126 = 9*l - 11*l + 28, 0 = 5*x + l + 5 + 3 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a kilogram in milligrams?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 + 5*t**2 - 7. Let k(y) = -5*y**3 + 24*y**2 - y - 34. Let w(m) = 11*b(m) - 2*k(m). Let j be w(7). Sort -5, -3, j in decreasing order.\nAnswer: j, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, -2\/17, 9, -0.3, -5?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -3*h + 4*o, -2*h = 2*o - 19 + 7. Suppose -11 = -h*t + 10. Solve 3*c + 0 = -t for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10\/3 + 7\/2. Let s(o) be the second derivative of -o**2 + o - v*o**3 + 0. Find the first derivative of s(a) wrt a.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 2*z + 26, 4*z + 6 - 2 = 0. Let g(i) = -i + 4. What is the remainder when 21 is divided by g(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + -1. Suppose 0 = -y*x + 4*x. Let l = -6766 - -6766. What is the nearest to l in -0.3, x, 5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 3*w**3 - 578*w**2 - 22*w + 77959. What is x(192)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide (-5)\/(5\/(-3596)) - (92 + -88)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25.3 + 5.7. Let h = i + -34.5. What is h rounded to one decimal place?\nAnswer: -3.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y**3\/5 + 191812*y**2\/5 - 345033476*y\/5 + 68968332 = 0. Calculate y.\nAnswer: -49689, 1, 1735","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18664, 38732, 58800?\nAnswer: 78868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -2*o + 5 + 9, 4*o + 4*t = 0. What is the second derivative of -55*k + 27*k + 13*k**2 + 10*k**2 - 10*k**o wrt k?\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4226 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18780 - 2540. Find the third derivative of -q + 8*o**4 - 10*o**2 + 16240 - 6*o**5 wrt o.\nAnswer: -360*o**2 + 192*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -197447 divided by 5\nAnswer: -197447\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2467 is divided by 27.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 79, 91, 117, 163, 235, 339, 481?\nAnswer: 667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 646, 1293, 1940, 2587?\nAnswer: 3234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 25560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/28, -8\/5, -47, 3?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 - -13. Let n be (t\/(-6))\/(1\/(-8)). Suppose 4*r + c - 135 = 0, 78 = 2*r - 0*r + n*c. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of 7*c**4\/24 - c**3\/6 - 6*c**2. Let o be k(-2). Let z be 20\/o*-6 + -2. Are z and 11\/2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.1639 + 0.1639. Put 1, -1\/17, t, 0.1 in increasing order.\nAnswer: t, -1\/17, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0\/(-1))\/(-1) + (-64)\/(-16). Let c be ((-6)\/x)\/(1 + 3\/(-2)). Solve -4*q = -q - 5*r + 4, r = c*q - 4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m + 15. Let r be w(-11). Suppose r = 2*u + 2. Let j be 8 + (0 + u - 4). Solve -3*o - 3 - 6 = -j*c, -4*c = -5*o - 2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 15\/4 of a gram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1 and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10053.\nAnswer: 3, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/((-125)\/15)*5. Put -1, k, -4 in ascending order.\nAnswer: -4, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 92, 0, -3, 1 in decreasing order.\nAnswer: 92, 5, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 81610409 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 * 25\nAnswer: -0.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -0.06164436?\nAnswer: -0.024657744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -438465 less than 10186?\nAnswer: 448651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/12)\/((-18)\/3348*-31).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 318930?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*k**4*v**3 + k**4*v - 12*k**3*v**3 + 488*k**2*v**3 + 22*k**2*v**2 wrt k?\nAnswer: -96*k*v**3 + 24*k*v - 72*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n - 40 = -22. Is -4 + (-2766)\/6*n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -492266940*r**3 - 173757694*r.\nAnswer: -2953601640*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 44440002517 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121)\/(1*sqrt(11)*-2) - -3*(1 + sqrt(99))**2) + 2.\nAnswer: 35*sqrt(11)\/2 + 302","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6 + 0*k + 5*k + 0*k - 4*k wrt k?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 254 - 464. Put o, -2, -1 in increasing order.\nAnswer: o, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18932262792 - 2*l**3 - 18932262792.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 2 + (4 - -4) + -5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ztx when three letters picked without replacement from {t: 1, k: 2, c: 2, z: 1, x: 2}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-5*(-1 + sqrt(405) + 1*sqrt(405) - (sqrt(405) - (sqrt(405) + -1 - sqrt(405))*2))*3*-4)**2.\nAnswer: -6998400*sqrt(5) + 53654400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -13 >= -115\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s - 12. Let z be d(-8). Let k be z\/(-16)*0 + 4. Suppose -4*n - 106 = 4*y - 9*y, -2*y + k*n = -40. Calculate the greatest common factor of y and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 26, -21, -4, -486, -2, 2.\nAnswer: -486, -21, -4, -2, 1, 2, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + u = 54, 2*u - 40 = -3*m - 2. What is the remainder when (14 - m)*(-1)\/2 - -125 is divided by 35?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 245346*y**4 + y**3 - y**2 - 136*y + 7986 wrt y.\nAnswer: 2944152*y**2 + 6*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 30 - 108 = 5*k, -3*y = 2*k - 57. Suppose -366 = 5*u + 109. Let f = 135 + u. Calculate the remainder when f is divided by y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.7 + 3.87. Let m = -0.16893 + l. Round m to four decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -0*t + 2*t. Let v(z) = -24*z - 16. Let a(j) = -6*j - 4. Let q(b) = 9*a(b) - 2*v(b). Does 13 divide q(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.29 times -3\nAnswer: -0.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3681.\nAnswer: 3, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -76 + 181. Let r = 278 - g. Let f = r + -124. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of 188*x**4 - 4*x - 122. Let q(w) = -w. Calculate q(z(i)).\nAnswer: -2256*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 190\/9 at most as big as 21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2886 divided by -78\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j, 1 n, and 1 k when four letters picked without replacement from {n: 3, j: 5, k: 1}.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2*c**3 + 33*c**2 - 9*c + 145. Let p be r(-17). Solve -4*l = -12, -j + p = 4*l - 4 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3053 - 0.0053. What is the closest to 52.2 in -0.4, 1, i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.392684 to 1 dp.\nAnswer: 4.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = 4*p - 7, -2*p + 1 - 3 = -4*o for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-24)\/(-15) + -2)*-10. Suppose 2*t + 2*t + p*r = 72, 3*r = t - 30. List the prime factors of t.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t + 4. Let q be g(-6). Let y(i) = 2*i. Let z(a) = a**2 - a - 1. Let k(v) = y(v) + 2*z(v). List the prime factors of k(q).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -13651 - 23894?\nAnswer: -37545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k - 5 + 4 + 0*k + 4. Let n be h(-3). Is 0.7 at most as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, -2, 4 in ascending order.\nAnswer: -5, -2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-144))\/((-1289)\/255222)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of d**6\/144 + d**5\/20 - d**4\/6 - 6*d**2. Let i(p) be the second derivative of m(p). Differentiate i(k) wrt k.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 196*w = 163*w + 594. Calculate the remainder when 71 is divided by w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 2. Let q = -7 + 22. Suppose q = 3*n - 0. Solve 0 = -n*m + 4*v + 1 - 12, 0 = m - 2*v + p for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(99) + -3)**2 - sqrt(99)) + -4.\nAnswer: 33*sqrt(11) + 401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*a = 9*a - 4*r + 8174, -5*a + 8202 = -3*r. Calculate the greatest common divisor of 104 and a.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 993235*s**3 - 441651*s.\nAnswer: 5959410*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10792 is divided by 680.\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/3 or -3801?\nAnswer: -3801","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2113322 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13691*a = 6671*a + 6754*a + 28728 for a.\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 - 5*o**2 - 2*o - 6. Suppose 0*t - 5 = t. Let s be x(t). Suppose -s*d = -20, 0 = -6*h + h - 4*d + 80. Solve b - h = -3*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-313*u**3 + 81*u**3 + 68*u**3)*(-4 + 4 - 2)*(2*u + u + u) in the form b + w*u + i*u**2 + y*u**4 + x*u**3 and give y.\nAnswer: 1312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 - (-19)\/((-1463)\/(-2422)). Let x = y - 7255\/231. Find the common denominator of -37\/180 and x.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d + 3. Let a = -84 + 85. Let m be u(a). Solve m = -5*g - 11 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2378)\/(-406) + (-2)\/(-14) - -45 is divided by 35.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.4 or -10700214?\nAnswer: -10700214","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 92 + 13.75\nAnswer: 105.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2706*a**3 + 2665*a**3 - 11672*a**3 + 2649*a**3 - 1 + 3015*a**3.\nAnswer: -637*a**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-4))\/((-5476)\/(-496) + -11) - 7?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/(-35) + (-13575)\/7. Round w to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 315 + -302. Is (5 - w)*(0\/2 - 100) a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10249?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 34*d + 8832. What is the greatest common factor of d and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-39520)\/2860 + (-4)\/22?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 248.73 + -247.73. Let f = 0.5 + -1. Let w be (-32)\/(-55) - 2\/11. What is the closest to w in -1, i, f?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15141 (base 7) in base 5?\nAnswer: 113234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 2*g - 8, -4*p - 4*g = -0*p - 4. Let f(x) = -101*x + 13. List the prime factors of f(p).\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**0)**(2\/17))**(-23)*(m**(2\/29)\/(m**(5\/6)*m))**(-2\/3) assuming m is positive.\nAnswer: m**(307\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/3485 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 < 47\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -10*a. Let k be -6*(10\/(-6) + 2). Let v be f(k). Suppose w = -w + v. Solve 3*s + 5*o - 22 = s, -2*s = 2*o - w for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96928?\nAnswer: 2, 13, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -255, -2, 64, -85 in descending order.\nAnswer: 64, -2, -85, -255","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = l - 0. Let t(p) be the third derivative of p**7\/280 + p**4\/24 - p**3\/6 - 8*p**2. Let h(z) be the first derivative of t(z). What is h(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -264 - -266. Suppose 4*x = 4*a - 12, 0 = -w*a - x - 112 + 124. Solve 0 = -i + 5*m - 24, -3*i = -8*i - a*m + 30 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-81))\/((-219)\/(-657))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/1152 and -109\/36.\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of -j**4\/12 + 15*j**2\/2 + 475*j. Let u(v) be the first derivative of 2*v**3\/3 + 7. What is g(u(n))?\nAnswer: -4*n**4 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 - 97*x + 952. Calculate w(11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/2690624 and 101\/3026952?\nAnswer: 24215616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 + 10*i + 103. Give h(16).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 - 7. Suppose 3*b = -c*j + 201, -4*b = b - 3*j - 306. Suppose -2*z - b = -3*z. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of y**5\/20 + y**4\/4 - 2*y**3\/3 + 2*y**2 + 6014*y. Let t(q) = -q. Determine 4*t(r) - v(r).\nAnswer: -r**3 - 3*r**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 1151 - 449 - 700 - 36*x. Let y(d) = -54*d + 3. Give 8*p(r) - 5*y(r).\nAnswer: -18*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002055051 rounded to 4 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -51 + 45. Solve -3*g + b = -5*y, 0*g - y = -g + 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -928 - -925. What is the nearest to -0.1 in l, 1\/7, 1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20972 - -819397173\nAnswer: 819376201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 127279612 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3968 - y**3 - 11854 + 3922 + 3964.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5070 = n - 2*g, 52*n - 54*n - 4*g = -10140. Is 130 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**4*w*w*((w\/w**(-2\/13))\/w)\/w)**(12\/11))**(-4\/17) assuming w is positive.\nAnswer: w**(1152\/2431)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of c**4\/12 - c**2 + 2*c. Let n be g(2). Is -2*(-55)\/n + -2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.4 (b) 5 (c) 34213 (d) -2.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w**3 - 2*w**2 - w + 1. Let m be y(5). What is the remainder when (-6)\/(-21) + m\/(-14) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 2*a**4\/17 - 117724*a**3\/17 + 470854*a**2\/17 + 588580*a\/17 = 0.\nAnswer: -1, 0, 5, 58858","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156*z = 130*z + 598. Let a(v) = -3*v - z - 27 + 21. Give a(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, s: 2, l: 2, q: 2, j: 1, z: 1}. What is prob of picking 1 g, 1 q, and 1 z?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 2, 204, -1\/23, 5 in decreasing order.\nAnswer: 204, 5, 2, 0.4, -1\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + -89?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 29*q**2. Let k(i) = 855*i**2. Determine k(l(f)).\nAnswer: 719055*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10533.35ml to litres.\nAnswer: 10.53335","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*(1 + 1) - -5. Suppose 1 = -n + 3*b, 0*n = -4*n + b + 18. Suppose y + 15 = n*u, 4*y + 3 + 11 = -3*u. Solve 4*i = d + 17, -i + s = u*i - 4*d for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.02, 3, 0.2, 0.4, 13, -6.7 in decreasing order.\nAnswer: 13, 3, 0.4, 0.2, -0.02, -6.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -3*u. Let v be k(-1). Put 0.9, v, -4\/3, -2\/7 in decreasing order.\nAnswer: v, 0.9, -2\/7, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*a + 1960*y - 1955*y + 5 = 0, 2 = 4*a - 3*y - 1 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77.9328 centimeters to millimeters.\nAnswer: 779.328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v - 4*n = -4*v - 26, 5*v - 2*n - 5 = 0. Suppose 4*k - 5*l = -l + 28, -k - v*l + 7 = 0. Put 6, -1, k in descending order.\nAnswer: k, 6, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 f, and 1 v when three letters picked without replacement from {d: 1, l: 3, v: 3, q: 3, z: 2, f: 1}.\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 256 + 739746*i**3 - 256.\nAnswer: 739746*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 462268 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17\/34*6\/15.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3383397?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12716 + 1*(-3 - -8 - 6)?\nAnswer: 5, 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 35 = -4*o + 16, 9 = 3*c - 6*c for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 215004.\nAnswer: 2, 3, 19, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - ((-12 - -14) + 7).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 316177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -5*u + 33, 0 = -2*y - u - 0 - 3. Calculate the remainder when (-1175)\/(-50)*-1*y*1 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 473698827?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y**2. Let f = 268 + -254. Let l(u) = -35*u - 32*u - f*u - 13*u. What is l(z(w))?\nAnswer: -188*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 16 + 7*j - 16 + (-1 + 2 + 7)*(4*j - 3*j - 3*j) + 0*j + 3*j - 5*j as r + w*j and give w.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i - 2. Let x be y(6). Let d(t) = -4*t - 12. Let u be d(x). Is (-217)\/(-4) - (-15)\/u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 0, 3, -15?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of -8*h**3\/3 - 3. Let v(b) = b. Give v(p(z)).\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2551*u - 10*u**2 + 5097*u - 2546*u.\nAnswer: -10*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 402882 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 80*((-6)\/4 - -3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*f - 51*f**2 + 3*f + 66*f**2 in the form j + k*f + x*f**2 and give x.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/(x*x*x\/((x\/(x*x\/((((x*x**(2\/33)*x)\/x*x)\/x)\/x)))\/x)))*x)\/x**22*(x\/x**16)\/(x**(-3\/13)*x) assuming x is positive.\nAnswer: x**(-13655\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1130756.835 rounded to the nearest ten thousand?\nAnswer: -1130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 371 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -3*m**4\/4 + 1101*m**3\/4 + 30303*m**2 - 124491*m + 125580 = 0.\nAnswer: -92, 2, 455","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 778, 865, 950, 1033?\n\"Answer: -q**2 + 90*q + 689","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 433425 to the nearest integer?\nAnswer: 658","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of h**5\/120 + 5*h**4\/12 + h**3\/3 + h. Let w(p) be the second derivative of y(p). What is the units digit of w(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 557*y + 3*y**2 - 5*y**2 - 612*y.\nAnswer: -2*y**2 - 55*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -1850.911068 to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express ((5*h - 2*h - 2*h)*(-3 - 1 + 5) + 6*h - 8*h + 9*h)*(-15*h**3 + 0*h**3 - 3*h**3) in the form u*h**2 + i*h**3 + d + y*h**4 + s*h and give y.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of -2 + 0*m + 0*m**2 + 1\/3*m**3. Let i(a) = 3*a**2. Calculate t(i(x)).\nAnswer: 9*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 10295991.\nAnswer: -51479955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 5*n**3 - 2*n**2. Suppose -2*i = 5*k - 41, -38*i - 28 = -4*k - 42*i. Let u(p) = -19*p**3 + 9*p**2. Determine k*a(g) + 2*u(g).\nAnswer: 7*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 94765.49mm in nanometers?\nAnswer: 94765490000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -45a6 - -3?\nAnswer: -45a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 10419?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -860, -1720, -2574, -3410, -4216, -4980, -5690, -6334?\n\"Answer: 2*t**3 - 9*t**2 - 847*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 2.06. Let d = j + -0.46. Put -3, 1\/2, d in decreasing order.\nAnswer: 1\/2, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0, 1296.4, -3\/14, -8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 + h - 1. Let w be 3 + 0 + -3 + 0. Let c be z(w). Which is greater: c or 3\/10?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 = -10*g - 13*g. Let j(d) = -4 - d**3 - 4*d + 0*d + 2*d**3. List the prime factors of j(g).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1854.76758442 - 1854.77. Round i to 4 dps.\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 4*m + 2*m + 4*m + m**2 - 6. Is o(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -16693 + 8352 + 23*c**3 + c + 8346 in the form o + t*c**3 + q*c + i*c**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 183242083 to the nearest integer?\nAnswer: 13537","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 63788\/5 or 12759?\nAnswer: 12759","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 + c**2 - 2*c - 2. Let g be j(-3). Let d = -11 - g. Which is bigger: 8\/5 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = z + 2*z - 4*w, -31 = 5*z + w. Let g(p) = -p**3 - 9*p**2 - 25*p + 10. Is 4 a factor of g(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111100101010 + 11?\nAnswer: -111100100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 319464436 to the power of 1\/2, to the nearest integer?\nAnswer: 17874","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/8*4\/120*6. Which is the closest to 1? (a) 0.2 (b) i (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = m - b - 4*b - 4, 0 = 4*m - 4*b - 16 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4725 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: How many minutes are there between 11:22 PM and 1:58 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 10*-751\nAnswer: -7510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*f + 8. Let r be (-1 - f)*1 + 9. Solve r = -3*g - g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (1 - (8 - -4)) - -3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y + 16 + 24 = -113. Let f(x) = -5*x**2 + x - 8. Let q(c) = -14*c**2 + 2*c - 23. Calculate y*f(s) - 6*q(s).\nAnswer: -s**2 + 5*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Total of 0.86 and -6046.94968.\nAnswer: -6046.08968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**7*y)\/(((y*y\/(y\/((y*(y*y**(-2\/9))\/y*y)\/y)*y)*y)\/y)\/y))**33 assuming y is positive.\nAnswer: y**(913\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11705627.\nAnswer: 2371, 4937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllllllll. What is prob of picking 4 l?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 5*f + 44, 3*z - 2 - 2 = 2*f. Let r be (4\/(-5))\/((-2)\/45). Let o = r + f. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 183684588 to the nearest integer?\nAnswer: 13553","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*z**2\/7 + 127207*z\/7 + 195086\/7.\nAnswer: -(z - 8482)*(15*z + 23)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -p**2 - 860*p + 11715.\nAnswer: -2*p - 860","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -525419 and 0.57.\nAnswer: -299488.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 148170255?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/22713 >= -18\/67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, -3, 0, 2.\nAnswer: -4, -3, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 21 in -2069, 0.1, 0.2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a - 41*a**4 + 6 - 30*a**4 + 67*a**4 - 4 - 8*a**2 as i*a + t*a**3 + s + u*a**4 + j*a**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 665990141?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0393283693 to 4 decimal places.\nAnswer: -0.0393","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of -d**9\/5040 - d**6\/240 + d**4\/4 + d. Let i(m) be the third derivative of x(m). What is the second derivative of i(a) wrt a?\nAnswer: -36*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -321 (base 4) to base 14.\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 + 23)*(1 + 4 + -6). What is the remainder when 18 is divided by q\/(2\/13 - 56\/26)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 + 6*y - 7. Let c be z(-6). What is the tens digit of -2199*(c - 120\/(-18))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 45 = 1349*q - 1348*q, 2*c - 5*q + 9 = 0 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/4, 0.1, 574?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -223*l - 231*l + 681*l - 231*l.\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8771747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -61 + 51. Let f be ((-245)\/r)\/(3\/(-60)*-5). Which is smaller: 97 or f?\nAnswer: 97","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1111110 (base 2) to base 3.\nAnswer: -11200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 26 - 1052 + t - 1127 - 3*t - t + 5*t + (1 + 4 - 6)*(0 - t + 0) in the form r*t + u and give u.\nAnswer: -2153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 5*w = 0, -40*u = -45*u - w. Solve r = 2*v - 11, u + 12 = 3*v for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 592061, 2368250, 5328563, 9472994, 14801537, 21314186, 29010935, 37891778?\n\"Answer: -r**3 + 592068*r**2 - 8*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 600*d**5 - 1780*d**4 - 9384*d**3 - 8820*d**2 - 2376*d = 0.\nAnswer: -11\/6, -3\/5, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -151763 * -65.\nAnswer: 9864595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-72)\/(-90))\/((-1)\/(-10)). What are the prime factors of (-405)\/(-6)*x\/12?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-16)\/(-56) - (0 - 999\/7).\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 12:27 PM?\nAnswer: 9:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 19697*s - 334793. What is f(17)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 1 = -3*s. Suppose 4*u = -0*u + 5*d + 39, 0 = 2*d - 10. Let p be (-4)\/(-18)*(-12)\/u. Sort s, -1\/4, p.\nAnswer: s, -1\/4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -956390928.67108 - 0.5.\nAnswer: -956390929.17108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 291 and 279 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - (1 - 0) - (-2657 + 2608)) + 1\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.2691981 hours?\nAnswer: 969113160000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3408, -6909, -10412, -13917, -17424, -20933?\nAnswer: -24444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 4*r = -168, -31*z + 63 = -29*z + 5*r. Calculate the least common multiple of z and 114.\nAnswer: 1482","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2 (b) 0.09 (c) 3 (d) -0.3 (e) 223 (f) 1\/12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7\/249 or 6?\nAnswer: 7\/249","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 + -19. Sort -5, 5, x in increasing order.\nAnswer: -5, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 4410930.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tktkpptttttetokot. Give prob of picking 1 e and 1 o.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 10*w + 304. Calculate a(-30).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1732115 to two dps.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1083898 to the power of 1\/4, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -55 (base 13) to base 14.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7 + (2 - 1) - 3. Let r = 0 + a. Let j = r + 1. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 852419 and 30?\nAnswer: 25572570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -37 - -37. Put -5, -2, i in ascending order.\nAnswer: -5, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 3)*(-1 - 3 + 2)*(-2 + 2*x + 2 + (2*x + 0*x + x)*(0 + 3 - 4) - 5*x + 2*x + 2*x).\nAnswer: -8*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 13 = 4*p + 5*t, 33 = 4*p + 5*t. Factor -k**2 - 3 + 3*k**p + 3.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -949963 (c) -1.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 352899?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/2622966 and 35\/184.\nAnswer: 10491864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 935*u + 32. Let v(q) = -935*q - 33. Let b(m) = -3*a(m) - 4*v(m). Is b(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aisiaxusuuaxuauxau. What is prob of picking 1 x and 1 i?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6559607479 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 0*o = -2*o - 9, 4*n - o = -18 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1141 - 785. Let y = v + -358. Which is the third smallest value? (a) -9 (b) 6\/11 (c) 0.3 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5833955 is divided by 243081.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 - 16.2. Let k = 27 + -25.8. Let v = u + k. Are -6 and v non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/3415, 1, -2?\nAnswer: -2\/3415","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in five quarters of a millennium?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -3*v**2 - 32*v + 12. Let k be d(-11). Which is smaller: k or 7\/19?\nAnswer: 7\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 PM and 2:18 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 314 is divided by 40.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -31*v**4*x - 2*v**4 - v**3*x + 2*v**3 - 3*v**2*x - 3*v**2 - 28*x + 3 wrt v.\nAnswer: -744*v*x - 48*v - 6*x + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h + 6*h**3 - h)*(50 + 5*h**2 - 50) + ((-1 + 2 + 1)*(2*h**2 - h**2 + h**2) + 2*h**2 - 2 + 2)*(h**3 + 0*h**3 + 0*h**3).\nAnswer: 36*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 2*r - 739 = 0, 23 - 7 = 4*r. Suppose -t = -6*w + 235. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -693*t = 22*t + 893*t + 72360 for t.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 551247?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5640, 45070, 152096, 360516, 704128, 1216730, 1932120, 2884096?\nAnswer: 4106456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 104683643 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 + 2*m**2 + 17*m - 24. What is l(3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of k**5\/36 - 185*k**4\/36 + 355*k**3\/6 + 1138*k**2. Determine c so that y(c) = 0.\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2\/47 + 100\/141. Let -2\/3*b**2 + 4\/3*b - y = 0. What is b?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -4*x**2 - 535*x + 1596. Calculate l(3).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/15 of a decade?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 587475477.\nAnswer: 3, 17, 1093, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2184)\/(-21) - 2*-1. Suppose 0 = -4*c + 2*t + z, c = t + 27 - 0. Let g = 44 - c. What is the highest common factor of 12 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 33131 - 14279. List the prime factors of f.\nAnswer: 2, 3, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16512662597 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 - 2*d. Let v(j) = -9*j**2 + 17*j. Let u(p) = 51*m(p) + 6*v(p). Calculate u(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 0 + 2 + n + (-5 - 5 + 5)*(n + 1 - 1).\nAnswer: -4*n - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -2*k**2 + 2010*k + 26443. What is i(-13)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -54*f**3 - 78*f + 56*f**3 + 76*f.\nAnswer: 2*f*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56 + 24\/(-66) + (39 - 46) + (-8)\/(-22).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2 and 115156.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 12:51 PM?\nAnswer: 11:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4e + 5?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 897120613 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u and 1 y when four letters picked without replacement from {y: 3, u: 5, q: 1}?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3\/5)\/(a\/a**(-1\/2)))**(2\/103)*(a**(-3\/5)*a**4\/a)\/(a**(1\/10)*a**(1\/5)) assuming a is positive.\nAnswer: a**(2121\/1030)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-69 - -62) + (4 + 0 - (0 - -2))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 22363\/214*396\/(-627)\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 PM and 9:15 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2 + 37*v - 38.\nAnswer: (v - 1)*(v + 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4 + 1)\/((-7)\/(-1)). Suppose 2*n - 4*f + 434 = 72, 4*n + 715 = -f. Let y = -193 - n. Which is the second biggest value? (a) -3 (b) y (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 5*w**2 - 20*w + 3. Let g be n(4). Suppose -12*q = -g*q - 2115. What are the prime factors of q?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*u**2 + 286*u**2 - 96*u**2.\nAnswer: 105*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -73163813 or -73163812?\nAnswer: -73163812","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p**2 - 14*p + 32. Let i be 0 + (468\/(-9))\/(-13). Give t(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-3) - 10\/(-6). Suppose b + 2 = f. Suppose 0 = 7*y - 3*y - 2*k - 14, -3*y - 5*k = -30. Solve -4*r + f = -y*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (11 - 0) - (-20 - (-63 - -37))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*l + 0 + 37*l + 0 to the form q*l + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17055867?\nAnswer: 3, 491, 11579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 103*z - 16180 = 99*z, 4*t + 5*z - 32375 = 0. Is t a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-717 - -699) + -2 + 4 + 50?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -3*f - 9. Is g(-4) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 222460738 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 533975 is divided by 186?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 58 and 232.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*f - 37*f = -770. What is the greatest common factor of 3206 and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 + 8*l**2 + 12*l - 27. Give x(-6).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(288) + -1) - (2 + -1 + sqrt(288) + sqrt(288))) + (sqrt(32)\/sqrt(2) + sqrt(4))\/((1*sqrt(14))\/sqrt(7)) + 1)**2.\nAnswer: -12*sqrt(2) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 466.\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 g when two letters picked without replacement from {r: 4, n: 6, g: 1}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, -34745787.\nAnswer: -34745787, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 72b (base 15) to base 12\nAnswer: b28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 divided by -6?\nAnswer: -145\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2763389 and 7036?\nAnswer: 1759","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 8. Let c be f\/15 + (-37)\/160. Which is bigger: 0 or c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2816163*q**3 + 2816131*q**3 - 54*q + 54*q.\nAnswer: -32*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 75905689 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.6 in -9, -4, -1\/2, 1\/6, -11?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(6\/11)*i**(-1\/7))\/((i\/(i\/i**(-17)))\/((i*(i**(-23)*i*i*i)\/i)\/i)) assuming i is positive.\nAnswer: i**(-277\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of 17*h**4\/6 - 867*h**2 + 6*h. Let y(t) = -t. Determine -k(o) + 8*y(o).\nAnswer: -76*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*y**3 - 14*y**3 - 46*y**3.\nAnswer: -110*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1061, -10, 25, 3, -2 in descending order.\nAnswer: 25, 3, -2, -10, -1061","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z + 11. Let w be v(-10). What is the biggest value in -2\/9, w, 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c - 16 = -36. Let t be 22\/3 - 2*c\/(-12). Let f(o) = -o**2 + 6*o + 6. Calculate f(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -7*a**3 - a**2 + 9*a - 2. Let j(n) = 21*n + 584. Let b be j(-28). Let z(c) = -3*c**3 + 4*c - 1. Give b*y(q) + 9*z(q).\nAnswer: q**3 + 4*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w*(w*(((w\/w**(-2\/3))\/w)\/w)\/w*w)\/w))\/(((w*w**(-1\/5))\/w)\/w*w*w) assuming w is positive.\nAnswer: w**(-22\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -271, -459, -653, -859, -1083, -1331?\nAnswer: -1609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 14 = -y, 5*h = 7*y - 2*y - 70. Solve -2*u + 3*z - y = 0, -u + z + 0*z = 6 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 10*f**2 + 22264*f + 506779. Calculate r(-23).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - 6. Suppose r*j - 6 = s + 26, -2*s - 16 = -2*j. Let k = -2661 - -2720. What is the remainder when k is divided by j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 52.18 - 51. Let d = 8 - 7.82. Let m = l - d. Which is the third biggest value? (a) 3\/4 (b) m (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d731 + 5?\nAnswer: d736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 2763.5, 4, 115, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of -a**5\/60 - a**4\/4 - a**3\/3 + 4*a**2. Let v be h(6). Let s = v + 111. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 218990 or 218991?\nAnswer: 218990","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29606120 is divided by 2467170?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 356129 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2124\/1 - 15\/(105\/28). Find the common denominator of 59\/5 and 16\/(y\/(-78) - (-26)\/(-169)).\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 184040.\nAnswer: 2, 5, 43, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1232 + 528. Let f = t - -698.2. Round f to one decimal place.\nAnswer: -5.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 320 and 96832?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-7) - 38\/(-14). Suppose -4*u = -443 + 103. Suppose 2*h = -j*h + u. Calculate the greatest common divisor of 119 and h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - 12. Let v = g - -20.1. Let d = -7 + 6.7. What is the closest to 0 in 3, v, d?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30433 - 20549. Is b at most as big as 9884?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 PM and 7:10 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**3 - 3*b**3 + b**3 + (-2*b - b + 2*b)*(-1 - 2*b**2 + 1))*(-9*b - 7*b + 3*b) + 3*b**4 + 0*b**4 - 5*b**4 + (b**3 + 3 - 3)*(b - 4*b + 2*b).\nAnswer: -16*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y**(-3)\/y*y)*y*y**1*(y\/((y*y**(1\/3)*y*y)\/y))**(-24) assuming y is positive.\nAnswer: y**38","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -5*w + 2*w + 75 - 52. Let i be g(6). Find the third derivative of 0*s**2 - 2*s**2 + i*s**6 - 5*s**2 + 3*s**6 wrt s.\nAnswer: 960*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 8 + 0 = 0. Let g be d*(-2 + 3) + 11. Suppose -3*u = -2*u - g. Is u a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12.534028528 - 12.534. Round k to seven decimal places.\nAnswer: 0.0000285","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 + 9*w**2 - 2. Let c be q(9). Calculate the remainder when 7 is divided by (-1)\/c*(12 - 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence csss when four letters picked without replacement from ccccsccssccccccccscc.\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/29694 and 67\/4741142?\nAnswer: 14223426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 + 0*v**2 + 1 + v + 3*v**2 + 0. Let y be m(3). Calculate the greatest common divisor of 8 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38389387 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 - 28*f - 2. Let o = -6411 + 6384. Calculate z(o).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -53*q**3 - 296*q - 167625?\nAnswer: -159*q**2 - 296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1264*y + 10344 = -11144 for y.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2741 divided by 321.\nAnswer: -2741\/321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (1 + 0 + -5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1844893669 - 99628000231\/54. Let f = z + 69296. Find the common denominator of 28\/72*-1 + 2 and f.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(((i**(-4)*i)\/i)\/i*i))\/((i*i*i\/i**(-1))\/i))\/(i**(-7)*i\/i**7) assuming i is positive.\nAnswer: i**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -1 - (-9 - (6 + -10)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g**3 - g**2 - 8*g - 2. Let y be n(4). Let a = y + -74. Let q be (-13)\/(-4) + 2\/(-8). Solve 5*r = a*o + 3, q*o = 4*o - 4*r + 9 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 1. Let q = 66.699 + -70.699. What is the nearest to w in -1, q, 0.4, 3\/8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(396)*2 + sqrt(396)) + sqrt(396) - (2 + sqrt(396) + sqrt(396))*1.\nAnswer: -2 + 48*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of 1\/2*d**3 - d**2 - 1\/12*d**4 + 1\/20*d**5 + 0*d + 0 - 1\/60*d**6. Give x(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 2*w + 5*q, 5 = -3*w - q + 1. Let y(o) = -o + 38. Suppose 4*a + 150 = 19*a. What is the remainder when y(w) is divided by a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(-2) - (-26)\/(-78)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2734 - 76?\nAnswer: 2636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1739.5 - 1739. Let p(d) = d**2 + 7*d + 2. Let r be p(-7). Suppose -r*g - 3*g = -30. Sort 1\/4, g, o in decreasing order.\nAnswer: g, o, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 6 = -5*t, u = -4*t - 6. Suppose 20 = 2*c - 3*z, -u*c - 4*z = -0*z - 6. Suppose 4 + c*k - k - 3*k**2 - 2*k = 0. What is k?\nAnswer: -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*s + 3*s - 6*s)*(5 + 9 + 4) in the form v + p*s and give p.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4, 33, 132, 323, 636, 1101?\n\"Answer: 5*j**3 + j**2 - j - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*i + 25*i = -45. Suppose 1546 = i*t + 205. Let x = t - 138. Let l(q) = -q**3 - 4*q**2 - 2. Let n(w) = 6*w**3 + 21*w**2 + 10. Give x*l(m) + 2*n(m).\nAnswer: m**3 - 2*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10700 is divided by 1526.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -837*i + 7 = -835*i + d, -3*d + 18 = 3*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00202362411 to 4 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1556*x - 1552*x = 2*z + 68, -5*z - 102 = 7*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 28*p**2 + 5*p - 5. Let i(n) = -238*n**2 - 42*n + 42. What is 5*i(a) + 42*j(a)?\nAnswer: -14*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1586 + 215 + 264 + 23*h - 22*h + 134 - 1109.\nAnswer: h - 2082","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 201412?\nAnswer: 2, 43, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-p**2 + 0*p**2 + 0*p**2)*(4 + 4 + 2)*(p + 2*p + p) as q + b*p + o*p**3 + i*p**2 and give o.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of -5*u + 28 - 5*u**2 - 5\/3*u**3. Factor s(i).\nAnswer: -5*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54, 198, 446, 804, 1278?\nAnswer: 1874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -4 (c) 72.7 (d) -3 (e) -2 (f) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(1\/2))**(-1)*(m\/m**(-1))\/(m*m\/(m*m**9)))**(-12) assuming m is positive.\nAnswer: m**(-114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 45713?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 + 17*y - 32. Determine u(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/40*(-33655)\/318 - -22.\nAnswer: -61\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -b + 70, -136 = -2*b - 0*v + 5*v. Let p = 87 - b. Calculate the highest common factor of 36 and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28633734515 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28 - -30. What is the common denominator of (-2)\/(-7) - 398\/364 and (-55)\/k - (-8 + 10)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7056?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19.7 - 22. Let g = -2.4 - q. Let i = 13 - 12.6. What is the closest to g in -5, i, 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*i + 5791 + 239 = 0 for i.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 138876284*v**3 - 2*v**2 - 2302*v - 531?\nAnswer: 833257704","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -6*h**2 + 18*h - 15. Suppose 5*d - 8*d + r - 25 = 0, 6 = -2*d - 2*r. Let c(q) = 5*q**2 - 13*q + 16. Let i(a) = d*c(a) - 6*x(a). What is i(18)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 226*b*p**3 + 4*p**3 + 10*p wrt b?\nAnswer: 226*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*(-390)\/225*9\/(-12).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5*o + 0)*(-4*o + 2*o + 3*o)*(-2*o**2 + 4*o**2 + 3*o**2).\nAnswer: -25*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -4 (b) 5 (c) -45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 29124 and 32.\nAnswer: 232992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -67 + 81. Suppose -5*l - 61 - z = 0. Let t be -1 + l\/(-12) - (-51247)\/(-28). Round t to the nearest one hundred.\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202010 (base 5) to base 14.\nAnswer: 2529","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 16\/(32\/18) - (-2 + 3). Solve -f*a = -6*a + 8 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3088 - -83389\/27. Let l = 19\/27 - o. Let i = 10 - 28\/3. Which is the nearest to l? (a) 2\/13 (b) i (c) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 PM and 1:18 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 2*w - 8, -1 = -4*w - 2*i + 7. Let p(a) = a**3 - 5*a**3 + 2 + 6*a - 5*a**2 + 3*a**w. Let z be p(-6). Is z at most as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 3:37 PM?\nAnswer: 12:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*l - 355*l + 5263 = 0 for l.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.035701511 rounded to four decimal places?\nAnswer: -11.0357","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 660 + -601. Suppose q*h - 29*h - 232230 = 0. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 39 - 4)*(-3*z - z + 7*z) + 16909*z + 2 + 1 - 16899*z.\nAnswer: 103*z + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 234150691 to the power of 1\/2, to the nearest integer?\nAnswer: 15302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 256\/18 + (15 - 10 - 11) and 38\/29.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 5 - 6*f - 3 - 2 + 3.\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 136 + -136.1. What is the closest to -0.1 in p, -3, 0.06, -6?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-1)*6\/36*6 - -2. Factor 2\/7*b**2 - 2\/7*b + n.\nAnswer: 2*b*(b - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2171 in 46, -2\/9, 0.5, 1\/8?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1099.4682 hours in days?\nAnswer: 45.811175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 3:32 AM?\nAnswer: 5:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0018309 to 5 dps.\nAnswer: 0.00183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c - 486 = -c. Calculate the greatest common divisor of c and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tiitjiiijtttjjtiiii. What is prob of sequence jt?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor y + 8\/9 + 1\/9*y**2.\nAnswer: (y + 1)*(y + 8)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.19916? (a) 4 (b) 1\/2 (c) 15.3 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -18088\/13, 1\/17, -0.3, 174 in decreasing order.\nAnswer: 174, 3, 1\/17, -0.3, -18088\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 0.0067\nAnswer: 0.00201","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of w**5\/30 + w**3\/6 + 3*w**2. What is the units digit of t(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 + 4*f + 5. Let i be q(5). Let a(c) be the second derivative of i + 4\/3*c**3 + 7\/18*c**4 - c - 4\/3*c**2. Suppose a(l) = 0. Calculate l.\nAnswer: -2, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43020563 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.78966 rounded to 2 decimal places?\nAnswer: 0.79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*c**2 + 9*c - 12*c - 14*c - 2*c to b + s*c**2 + h*c and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 157.2 - 31.6?\nAnswer: 125.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 3*k**2 - 159*k - 96. Determine d(54).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(40)\/(sqrt(56)\/sqrt(28) + sqrt(8)).\nAnswer: 2*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 84*b**2 + 5*b**3 - 1 + 0*b + b**3 + 82*b**2 - 6*b to the form n*b + v*b**3 + d + t*b**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 984064 and 1024?\nAnswer: 1024","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/23270 and -151\/4565574.\nAnswer: 22827870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 125\/(-50)*(-8)\/10. Let s be 4\/q + 27 + -24. Suppose 0 = 8*x - 3*x + 2*v - 76, s*v = -2*x + 22. Calculate the smallest common multiple of 10 and x.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 760 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = -53*f + 57*f - 53, -f + 0 - 3 + 0 = -3*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -7 - 3856\/(-120) - (-2)\/(-15). Suppose -24*v = -m*v + 12. What is the greatest common factor of 222 and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a*a\/(a\/(a**(-5\/4)\/a*a))*a)\/(a*a*a*a**(3\/4)*a))\/(a\/a**(-3)*a**3*a))**(-28))**(-21) assuming a is positive.\nAnswer: a**(-7056)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -421 + 424. Solve -2*n + i = -3 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 AM and 1:02 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 258726454?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 476993473.\nAnswer: 11, 461, 94063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 4*q. Let l be f(5). Let y(r) = -15*r + 2. Let b be y(5). Let j = b - -123. Calculate the greatest common factor of j and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9441996679 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 157*z + 2. Let d be w(5). Let q = 3081\/4 - d. Let u = -6731\/5 + 1356. Calculate the common denominator of u and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13962811 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.597 plus -338.5?\nAnswer: -339.097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 + 83 = d. Let p be (-3*1 - d)\/(221\/(-13)). What is the closest to 2 in -1, p, -0.02?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 6:24 PM?\nAnswer: 10:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -3, 13, 4 in descending order.\nAnswer: 13, 4, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 15 = -25. Suppose -l*o = -3*a + 4*a - 598, 4*o = 3*a + 467. Is 17 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x = 13*x + 20 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 + 9*i + 8. Let y be v(-6). Find the common denominator of 194\/(-44) + (-1 - -2) and (-462)\/(-60) - (-4)\/y.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 250 is divided by 122.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-10))\/(1*3\/(-15))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-2 - -1) - (-10 + 10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/5*(70955\/42573)\/((1\/(-1))\/52).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 8.46, -3, -1\/16?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 60\/70*(-42)\/(-18). Find the second derivative of 0 - 26*d**u + 7*d**2 - 142*d**2 + 2 + 95*d wrt d.\nAnswer: -322","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 0 + 100 + 2 + 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 10470973?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13935*a + 14017*a + 2050 = 0 for a.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -198?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*a + 351 = 286. Let z = 1 - -2. Solve -a*s = -z*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -742029 to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4912?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9*(-21)\/(-945)*-95.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 - 6*i**2 + 11*i - 5. Suppose -5*c + 3*c - 16 = 0. Is m(c) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 3*r - 5 - 2)*(13*r**2 - 13*r**2 + r**3).\nAnswer: 3*r**4 + r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3579.1*-5.\nAnswer: -17895.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 + 6*k**2 - 461*k - 5769. Determine s(-14).\nAnswer: -883","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 6880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12354*w + 8369 wrt w?\nAnswer: -12354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*s + 114404 - 894157. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 5*c = 301 - 150 - 132, 2*y + 3*y - 2*c - 23*c + 115 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28749494 + -62.\nAnswer: 28749432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.9 + 6. Let j = -552 - -551.6. What is the nearest to p in j, 0.1, 0.5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 6083, 12157, 18227, 24293?\n\"Answer: -2*s**2 + 6080*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19 and 171.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y**2 - 45*y - 229. Determine p(-7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 4*t + 29. Let m = -104 - -117. What is the units digit of b(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1495.1 + -1493.1. Which is the fifth biggest value? (a) -2\/9 (b) i (c) 14.2 (d) -1\/8 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.718048 years?\nAnswer: 0.0718048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28 and 4774.\nAnswer: 9548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {p: 4, f: 5, w: 3}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*n**2 + 4*n**2 + 0*n**2)*(3 - 3 - 1)*(-5 + 1 + 2 - 4 + 7 + 3 + (-3 - 2 + 4)*(72 + 2 - 6)) to l*n**2 + b + f*n and give l.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = l - 121, -3*l = -7*l - 2*a + 484. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*(l**(-2\/45)\/l*l)\/l*l)**(-18)*l*l**(-2\/17)*l**(2\/53) assuming l is positive.\nAnswer: l**(-73341\/4505)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6.03 + -0.03. Let g = 116 - 119. Which is bigger: g or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 13. Let i(f) = 2*f**2 - 9*f - 8. Let z be i(h). What is the greatest common divisor of z and 120?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14454 - 14453. Let y(c) = -105*c**3 - c. Calculate y(p).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1441350 (base 6) to base 13\nAnswer: 2bbb7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 - (-11)\/33*15. Factor -m - 1\/2 - 1\/2*m**s.\nAnswer: -(m + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-240)\/250)\/(-8)*-10)\/(376\/235)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 270*k + 16132. Give x(-62).\nAnswer: -608","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from vdxxxdxdvdvdxddd?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.07 from 2973530997935.\nAnswer: 2973530997935.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*a - 36 = 21*a. Suppose -17*s = o - a*s - 4776, -o + 4*s = -4803. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fifty-five quarters of a meter?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -17*r + 17. Suppose 4*f = -2*x - 26, 1 - 48 = 5*x + 4*f. Is t(x) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -212005 and 9.25973.\nAnswer: -211995.74027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, f: 4, g: 2, d: 2}. What is prob of picking 1 l and 2 g?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + 9*b - 42. What is the derivative of -3*s**3 - 42 + 43*s**b - 14*s**3 + 77*s**3 wrt s?\nAnswer: 309*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 664? (a) 2 (b) -2\/13 (c) 1\/3 (d) 0.9 (e) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n*(n*n**(2\/15))\/n)*n*n**(-2) assuming n is positive.\nAnswer: n**(-17\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (117*m**3 + 8*m**3 - 8*m**3)*(-2*m + 4*m - m)*(-2 + 1 + 3).\nAnswer: 234*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -188693720 + 188693720 - 5*c.\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 134502.\nAnswer: -1\/134502","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141745 is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16229 - -19496. Is p > 3266?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 613080566?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 137 = 641. Suppose w*l = 118*l + 232. Solve 3*s = -14 + l for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 7*z**3 - 5*z + 20. Let j(d) = -d**3 + d. Calculate -5*j(s) - u(s).\nAnswer: -2*s**3 - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 129\/4970 and 63\/54650.\nAnswer: 27161050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of 3*y**2 - 6*y - 1. Let d = 229 + -218. Is 20 a factor of o(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -9, -5*r + 13 - 4 = 3*u. What is the hundreds digit of u\/21 - (-290925)\/567?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*s = -20*s + 81 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49664, 99265, 148866?\nAnswer: 198467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 104\/364*(-1)\/((-9)\/7)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*s**3 + 89 - 40*s**2 + 51*s**2 - 91 as p + r*s**2 + v*s + u*s**3 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -840 divided by -4\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5389, 10782, 16181, 21586, 26997?\n\"Answer: 3*k**2 + 5384*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of g**4\/12 + g**3\/2 - 5*g**2 + g. What is the tens digit of v(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -6*t - 181. Let y be j(-30). Which is the nearest to y? (a) -0.3 (b) 0.06 (c) 0 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.04, -57, 11, 3.1 in decreasing order.\nAnswer: 11, 3.1, -0.04, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -s**3 - 20208*s**2 - 282765*s - 989506 = 0?\nAnswer: -20194, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c**2 + 4. Let v be (2 + 3)\/(1 - 0). Let z be h(v). What is the greatest common divisor of z and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 2*b - 35 = 0, -5*b + 2*b - 10 = w. Let o(h) = w*h + 5*h - 13*h. Let k(l) be the first derivative of -l**3 - 35. Calculate o(k(i)).\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -626290*d*i**3 - 14*d*i**2 + 625*i**2 wrt i?\nAnswer: -3757740*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -12*t + 9. Determine c(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s**3 - 15*s**2 - 8*s + 1. Let i be z(8). Let r(j) = 10*j - 25. Let n(h) = -h + 2. Let t(m) = 25*n(m) + 2*r(m). Calculate t(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 3*d + 6. Let p be h(-2). Suppose 6 = 5*o - l, -2*o + 3*l - 6 = 2. Solve -u = -p - o for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 56\/12*(-432)\/(-42). Let t = j + -24. Solve -t = 5*u - 3*d, -4*u + 3*u - 9 = -2*d for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14.4 + 14. Let q = 0.13 - -0.87. Which is the nearest to 0.06? (a) q (b) 3\/2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + (-1 - -3) + -6. Let p = -2 - q. Suppose 3*o - 3*b - 27 = 0, -p*o - b + 7 = -4. Is o a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i - 7. Let z be c(5). List the prime factors of 63*(2\/z)\/2.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -995, -1987, -2965, -3923, -4855, -5755, -6617, -7435?\nAnswer: -8203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 6*x + 127. Let c be t(-21). What is the nearest to -0.1 in -0.5, 0.6, -2, c?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6315*t - 8 - 2597*t + 16 - 419*t - 10 to u + z*t and give z.\nAnswer: -9331","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(208) + 0)*-5 + 3)**2 - (-1 + 2*sqrt(208) + (sqrt(208) - (sqrt(208) - (sqrt(208) + sqrt(208) + 3*sqrt(208))**2)*6) + sqrt(208)).\nAnswer: -25990 + 128*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001434941098 to seven decimal places.\nAnswer: -0.0014349","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.0425 (b) -0.12 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 176 and 22?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 15 - 0. Let f(z) be the third derivative of z**5\/60 + z**4\/8 - z**3\/6 - 4*z**2. What is the units digit of f(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 151*l**2 + 126*l + 45. What is the ten thousands digit of f(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1913607 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1675 divided by -335.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -4*s + 1. What is the tens digit of d(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*b**3*x - b**2*x - 822*x with respect to b.\nAnswer: -30*b**2*x - 2*b*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000131 rounded to 5 dps?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - g - 19 = 0, 10*p - 12*p + 14 = -5*g for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + -0.01. Let s = -0.01 - u. Let l = s - -0.1. Which is greater: -1\/5 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 98\/34 - (-10)\/85. Suppose -12*r + 17*r - d - 384 = 0, 2*r - 151 = z*d. 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 -9.326819 rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/24*2)\/3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 397710 a multiple of 491?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 8*l - 630. Is 10 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 - 12.09. Let l = -3.91 + v. Let q = l + 4.4. Which is the biggest value? (a) 3 (b) q (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) -0.4 (c) 0.3 (d) -2\/57 (e) 57\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {a: 3, c: 4, m: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -317 in 0, 3, 22?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 412 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-282 + 296 - (0 - -20)) + (1 - -42).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/((-18)\/15) + -2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2915728\/15 less than -194383?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 1 = -4*h. Calculate the highest common factor of 4 and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.79 - 0.29. Let g = -2 - -1.9. Which is the nearest to -0.1? (a) -0.3 (b) g (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -24*g + 741. What is the remainder when 2789 is divided by l(26)?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 280733 and 413599?\nAnswer: 2143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3628*o + 1857*o - 6630 = -1836*o for o.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + y + 0*y + (-14 + 0 - 9)*(-6 + 6 + 6*y))*(0 - 4 + 2)*(-2*y - 4*y + 5*y).\nAnswer: -278*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -c**2*i**2*z + 2*c**2*i**2 + 3*c**2*i + c*i**2*z - 111*c*i**2 - 100*i**2*z - 2 wrt z?\nAnswer: -c**2*i**2 + c*i**2 - 100*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 26 = -4*c + 10, -4*c + 52 = 5*m. Let f(a) = 8953 - 8953 - c*a. Let r(p) = -p**2 + 4*p**2 - p**2. Calculate f(r(i)).\nAnswer: -16*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnbfnnfb. Give prob of picking 4 n.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1134112\/(-280))\/(-83) + (-16)\/20?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s - 5*s**3 - 3*s)*(4 - 4 - 2)*(s**2 - 2*s**2 - 4*s**2).\nAnswer: -50*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -3691*i**3 - 6*i + 2. Let t(r) = -44290*r**3 - 75*r + 25. Give -25*d(z) + 2*t(z).\nAnswer: 3695*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11828791 and 4901?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-3*(sqrt(684) + 1 + -5))**2 + (0 + sqrt(19) + -5 - -3*(sqrt(19) + sqrt(57)\/sqrt(3))) + 3 + sqrt(19) + (sqrt(38)\/sqrt(2))**2 + -3.\nAnswer: -424*sqrt(19) + 6311","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 46 - -6. Suppose 5*h = 4*q - 106, 34*h - 40 = 38*h. Calculate the least common multiple of q and m.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 - 3*p**2 + 1. Let k(i) = -i**3 + 5*i**2 + i - 2. Let b be k(5). Let t(q) = 2*q - 7*q**2 + 2 + 3*q**3 - 5*q**b - 2*q. What is 5*s(x) - 2*t(x)?\nAnswer: -x**3 - x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 705.63738 hours in weeks?\nAnswer: 4.2002225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2817, 6244, 10281, 14928, 20185?\nAnswer: 26052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 546.6386 litres to millilitres.\nAnswer: 546638.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 335 - 65. Is 31 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 37341289, 74682583, 112023877, 149365171, 186706465?\n\"Answer: 37341294*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*a*u**3*w**3 - 7*a*w**3 + 53*a*w**2 + 2*a*w - 902*u**3*w - 4*w**3 with respect to u.\nAnswer: -9*a*u**2*w**3 - 2706*u**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 13*p - 37. Determine r(5).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2090\/1100 - ((-27)\/30)\/(-3)\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20739252?\nAnswer: 2, 3, 17, 101663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-2\/13)\/((l**(-2)\/l)\/l*l*l))\/(l\/l**1)**(-34))**(2\/13))**(1\/36) assuming l is positive.\nAnswer: l**(4\/507)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*i - 103*i = 1806 - 582 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -0*r - 4*n + 36, -5*r + 138 = -n. Is 25 a factor of -1*1 + r + 1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 - 23662*j**3 - 23649*j**3 - 24.\nAnswer: -47311*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1823.955 centimeters to micrometers.\nAnswer: 18239550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(1*sqrt(7) - sqrt(7)) - (sqrt(7) + -2*sqrt(567))**2) + -4 + 5*(6*(1*sqrt(112) + sqrt(112)) + sqrt(112) + sqrt(112)*2 + 5)**2.\nAnswer: 3000*sqrt(7) + 124098","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/151575 and 49\/23865.\nAnswer: 5608275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -3.8, -5.4, 337 in decreasing order.\nAnswer: 337, -3.8, -5.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10610 + -1585. What is the hundreds digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 - 1. Let h(v) = -5*v**2 - 17. Let z(i) = -2*f(i) + h(i). Let n(w) be the first derivative of z(w). Let c(d) = -3*d**2. Calculate c(n(q)).\nAnswer: -588*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -13*t + 3*t. Let v be (-1435)\/(-15) - (-2)\/t. Suppose -11*l = -9*l - v. 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 -4*i - 18 = -2*y, 3*y - i - 15 = 2*i. What is the remainder when y is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2860.1373 + -0.91\nAnswer: -2861.0473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = 3*o - 45, 28*o + 13 = -66*p + 66*p + 29*o for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -194, -4, -1143\/8, -1, -0.2, -85?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(8\/9)*a\/(a*a**18\/a*a)*a)**25 assuming a is positive.\nAnswer: a**(-3625\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 + 5*o + 16. Let k be d(7). Suppose -k*q = 11 - 125. What are the prime factors of q?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 789238.5ml?\nAnswer: 789.2385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/9, 22, 5, 0, 34?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 0.03021.\nAnswer: -0.003021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1166, -1171, -1176?\n\"Answer: -5*f - 1161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/49)\/(20\/35*7\/28)?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13053.\nAnswer: 3, 19, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/154*(-51)\/(-4743)*217?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 486956 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.7 * -1\nAnswer: -0.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (258 + -265 - (-1 + -18)) + 19.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.313, 0.2, 1?\nAnswer: 0.313","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -1 - -2 - (1 - (6 - 1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*s = -31*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/27, 44414, -4 in increasing order.\nAnswer: -4, -1\/27, 44414","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6350411 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16662464 and 1664.\nAnswer: 832","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1\/15500 + -658761\/170500. Calculate the common denominator of a and 79\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9103 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2930*f + 5796 + 2839*f - 5770*f - 10513*f**2 wrt f?\nAnswer: -21026","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (147\/(-84))\/((-2)\/16).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 49298 and 7850.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26347159 to the nearest integer?\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 3*d + 43 = 5*v + 7, 3*d + 2*d = -677*v + 2668 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1619, 2782, 3955, 5144, 6355, 7594, 8867, 10180?\n\"Answer: v**3 - v**2 + 1159*v + 460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of o**5\/60 - 221*o**4\/12 + 48841*o**3\/6 + 894*o**2. Solve b(v) = 0 for v.\nAnswer: 221","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/((-2040)\/(-39)))\/((-52)\/(-8))?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 20 = 4*z, -2*q - 35 = -0*q + 3*z. Let n = q + 16. Solve 9*v - 4*v - 5 = n for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.08, -5, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5398.326 decades to centuries.\nAnswer: 539.8326","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -62.181 to the nearest integer.\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n**2\/7 + 6417*n\/7 = 0 for n.\nAnswer: -2139, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*u - 15*u - 5*u)*(-3*u**2 - 2*u**2 + u**2)*(-u - u + 0*u) to g*u + i*u**3 + h*u**4 + q*u**2 + j and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + -222221011?\nAnswer: -222221100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-1824)\/(-13110) + (182\/(-35))\/13\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 2418 = 14918. Suppose -t = -4*h + 2*h. What is h rounded to the nearest 100?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -208, -4, 4 in decreasing order.\nAnswer: 4, -4, -208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 30 = -3*z, -d = 13*z - 17*z + 25 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - p + 4 = 0, 28 = 4*v - 4*p. Let u be 2\/(-3) + 2\/v. Suppose i - f = -u*i + 7, -5*f = -i + 19. Solve -i*z - z = -5 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21647.\nAnswer: 21647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g - 20. Suppose 0 = -45*p + 35*p - 120. Let b be o(p). Solve -b*z - 45 = -5*v + z, -z + 15 = 5*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2773947401?\nAnswer: 131, 21175171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3829.\nAnswer: 7, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -114896 + 114954. Let n = -1 - -3. Suppose -n*f + 60 = g, -226 = -4*g + f + 5. Is g > s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35\/((-595)\/663)*2546\/(-1742).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 75247.2 kilometers?\nAnswer: 7524720000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1296?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 797*t**2 + 212*t + 4*t**3 + 776*t**2 - 1572*t**2.\nAnswer: 4*t**3 + t**2 + 212*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -770380*131\nAnswer: -100919780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 5*b - 75 = 0, -5*a = 9*b - 12*b - 91. Calculate the remainder when a is divided by 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-14)\/((-392)\/(-4725))*-4. Let b = d + -50. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7111 = 106*n - 119*n. List the prime factors of n.\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76227 is divided by 12670.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 16471?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 108038?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 9699800000 to the nearest 1000000.\nAnswer: 9700000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2072 - 43514\/21. Let z = 7 - 4. Let q = z + 0. What is the closest to o in 1, 0, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6988*j**3 + 5029*j?\nAnswer: -41928*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 m, and 1 v when three letters picked without replacement from {z: 2, v: 4, m: 3, q: 3, u: 2, k: 1}?\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/u**2)**9\/((((u\/(u*(u\/u**(-8\/7))\/u))\/u)\/u)\/(u\/((u\/u**(2\/5))\/u))) assuming u is positive.\nAnswer: u**(159\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 3*v + 30 = 0. Let m(d) be the second derivative of -d**3\/6 + d**2 - 2*d. Calculate the remainder when v is divided by m(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(3\/2)\/(s\/(s\/(s*s\/s**5*s))))\/(s\/((s**(-2)\/s)\/s)*s*s*s**(-5))*(s**1)**20\/(s*s*s**(-3)*s**0*s) assuming s is positive.\nAnswer: s**(43\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 627 = -5*t, -t = -5*i + 200 + 620. Let f = -96 + i. Suppose 6*z = 101 + f. What are the prime factors of z?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8 + (1 - 8))*-1. Is -3*9\/54*(-81733 + m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - (-1 - -2)) + (-12 - 3 - -25)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of m**3 - m**2 - 3*m. Differentiate z(s) with respect to s.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.741, 183, -0.12?\nAnswer: -0.741","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7571*l - 586568 = 185674 for l.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of d**6\/960 + d**5\/160 - d**3\/12 - d**2 - 101*d. Factor o(u).\nAnswer: (u - 1)*(u + 2)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-6))\/(3 + 35\/(-15)). What is the nearest to z in -2, 0.1, -13?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -17 + 6e?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vmrv when four letters picked without replacement from vrrbvbbubbmbrvu?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {u: 5, v: 1, y: 1, l: 1, e: 3}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 212191 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-1*sqrt(85) - sqrt(85) - sqrt(85)) - sqrt(85))\/(sqrt(245)*-1 - sqrt(5)).\nAnswer: 7*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2 - o + 1 + 2*o. Let p be t(6). Suppose h = -5*x - 6, -2*h - 7 = -x + 6*x. Put -3, p, x in ascending order.\nAnswer: -3, x, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39926 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: Let z be (-3)\/(-2)*-2 - -67. Let b be 24\/z + (3 - 31215\/(-24)). What is b rounded to the nearest one hundred?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*j + 73 = 59 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of 2*m**2 + 3*m + 5. Determine c(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -891 + 142. Let w = g + 1900. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of -31*k**5\/15 - 7*k**4\/3 - 10*k**3\/3 + 89*k**2. Let j be d(11). What is j rounded to the nearest 1000?\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -468*c**5 + 7713*c**3 - 25*c - 605?\nAnswer: -9360*c**3 + 46278*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 36702923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 102*m**4*x**3 - 13*m*x**3 - 837*x**3 wrt m.\nAnswer: 408*m**3*x**3 - 13*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (9\/(-6) + -1)*20\/25. Let t be 1\/11*(-2)\/(-1). Put b, t, -3 in decreasing order.\nAnswer: t, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 4 + 0 = 0, -5*y + 42 = -m. Suppose -3*g + g + y = 0. Let k = g + 29. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -18, -29, -44, -63?\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -279*a*x**2 - 506*a*x + 2*a wrt x?\nAnswer: -558*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3620 and 2485492.\nAnswer: 724","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of -223*g**5\/20 + 58*g**3\/3 - 247*g. What is the second derivative of d(f) wrt f?\nAnswer: -1338*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -2*f**4 + 5*f**3 - 10*f**2. Let j(u) = -u**4 + 4*u**3 - 9*u**2. Let n(q) = -5*j(q) + 4*p(q). What is the third derivative of n(r) wrt r?\nAnswer: -72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j\/j**25)\/j)\/j)\/j**(1\/40))\/(j\/(j*j**(4\/19))*j\/(j*j**(-1\/11)\/j*j*j)) assuming j is positive.\nAnswer: j**(-208209\/8360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eek when three letters picked without replacement from {k: 2, o: 1, e: 2, n: 1, u: 1}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 26807182583 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 262 divided by 30478\nAnswer: 131\/15239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 137 (b) -72 (c) 22 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 + 30*w. Let q(t) = 3*t - 30. Let l(v) = -15*v + 125. Let d(b) = -6*l(b) - 25*q(b). Determine d(x(c)).\nAnswer: 15*c**2 + 450*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 18 - -27b7e?\nAnswer: 27b97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 86176907 to the nearest 100000.\nAnswer: 86200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: a38a (base 11) to base 2\nAnswer: 11010111001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1471, -2226, -3483, -5242?\nAnswer: -7503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 AM and 2:02 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.409*45.8547.\nAnswer: 18.7545723","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 6*a**4\/7 + 2902*a**3\/7 - 33710*a**2\/7 - 24726*a\/7 + 11880\/7 = 0?\nAnswer: -495, -1, 1\/3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4760 divided by -10\nAnswer: -476","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -2*c - 12, 0 = 4*l + c - 14 - 0. What is the second derivative of -2 + 3 + 18*d**2 - 71*d**2 - l + 5*d wrt d?\nAnswer: -106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (46 + 0)\/(32\/160)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-64051)\/(-1516)*(-2)\/13.\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 + (24 - (78 + -22))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1624\/(-6) + (-8)\/(-12). Calculate the common denominator of 6\/(-3) + n\/(-44) and -111\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 380 at most as big as 363?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 - 44*h - 383. Determine y(-31).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t - 27 + 171 = 0. Suppose -o + 24 = 2*o. Calculate the lowest common multiple of o and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*a - a + 3*a)*(10 - 7*a - 8 + 18*a).\nAnswer: -55*a**2 - 10*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-3*2*sqrt(45) + sqrt(20) + -4 + sqrt(20)*-1)**2*-1 + 4.\nAnswer: -1630 - 144*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 65069583 to the power of 1\/2, to the nearest integer?\nAnswer: 8067","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 PM and 12:30 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104871475 is divided by 31.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 - 14*a**2 + 6*a - 11. Let b be k(11). Let w = 738 + b. Suppose 0 = 5*s + 15 - w. Round s to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 + -1)*(-2)\/(-4)*(-1002)\/5010.\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 AM and 11:07 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, l: 5, a: 5}. What is prob of picking 1 l and 3 a?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -181 (base 9) in base 6?\nAnswer: -414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2270 - 3*a**2 - 2270 - 27*a**3 as n + o*a + j*a**3 + k*a**2 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1*-8 - -3)*2\/5. Which is the nearest to -2\/3? (a) 0.05 (b) -1\/7 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**3 - 602516*p**2 - 22689396896*p - 22688794384.\nAnswer: -4*(p + 1)*(p + 75314)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of 7*o**4\/4 - o**3\/2 + 465*o**2 - 7*o. Let c(x) = -31*x**2. Determine m(c(v)).\nAnswer: -1302*v**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence at when two letters picked without replacement from idxdtaaddtdhxxadxdxa.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 9*h - 6. Let g(o) = 48*o + 6. Determine g(r(x)).\nAnswer: 432*x - 282","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 63904083 to the nearest integer?\nAnswer: 7994","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - 4)\/(-3) - 0. Suppose f = -z*f + 15. Suppose -f*c + 97 = -73. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - 1926*o**3 + 2507*o**3 - o)*(4 + 0 - 3).\nAnswer: 581*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2614 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a kilogram in grams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 5 = 13 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -4*n**2 - 149*n + 636. What is b(4)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 - 6*t - 2. Let d be x(-5). Suppose -d = -3*z + 3. Let s be 0*(-3 + z) + 6. Solve 2*m + 5 - 3 = 2*b, -s = -2*m for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1140.0559 and 0.3.\nAnswer: 1140.3559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 + 36 = 5*x. Let i be (0\/(-1))\/(-13 + x). Solve a + 1 = -i for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 569695?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*2 - (-13)\/5. Suppose 44*b = 61*b - 51. Sort 5, b, u, 1.7 in descending order.\nAnswer: 5, b, 1.7, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/9)*s**(-2\/15))\/((s**(1\/6)\/s*s*s*s)\/s)**0 assuming s is positive.\nAnswer: s**(4\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.05 + 0.05. Which is the closest to -2\/5? (a) -3 (b) p (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6091*t + 738*t - 422*t + 5622*t + 1845*t)*(t - t - 2*t**2).\nAnswer: -27748*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 10*f = 319. What is the remainder when 92 is divided by f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 85?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-14) + (-54)\/(-7). Suppose 200 = -0*k + x*k. Let s = -21 + k. Solve -2*y - 9 = s*q + 1, -3*q - 5 = -y for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 44 = 2*x, 0 = 2*i + i + 5*x - 40. Suppose 0 = 2*w - 3*t + 9, -6 = 13*w - i*w - 3*t. Factor r - 1\/4*r**4 + 0*r**2 + 0 - 3\/4*r**w.\nAnswer: -r*(r - 1)*(r + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33123 (base 4) to base 16\nAnswer: -3db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/72, 0.1, -2, -1\/326?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of t**4\/24 - 2*t**3\/3 + 7*t**2. Let y be w(4). Factor 0*u**2 + 1\/2*u**3 + 1\/2*u**5 + u**4 + y + 0*u.\nAnswer: u**3*(u + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 9, 1, 2, 13, 4, 26 in descending order.\nAnswer: 26, 13, 9, 4, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - -15. Suppose 63*k - 58*k - 1455 = 0. Suppose -355 = -4*f - k. Solve -u*s - f = -s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.5, 0.4, -32, 0.01, -1, -5\/7, 3\/2?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1145, 6343, 15007, 27137, 42733, 61795?\nAnswer: 84323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 - 27*r - 44. What is the smallest common multiple of 90 and k(31)?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2. Let b(f) be the second derivative of -107*f**4\/3 + 3052*f + 2. What is b(o(m))?\nAnswer: -428*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/55*(-2)\/((-48)\/(-44)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5487.1 - 5487. Let b be 4\/(-18) - (-1594)\/(-36). Let x = b - -42. Is x smaller than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/6)\/(-4 + 188\/48). Factor -18860*l - 4*l**3 - n + 68*l**2 - 60 + 18864*l.\nAnswer: -4*(l - 17)*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + v + 87 = 0, -5*r + 4*v + 0*v - 102 = 0. Let f = -18 - r. Suppose -a - 5*t = 2*a - 125, 4*t - 16 = f. Does 5 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6193 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 8*i**2 - i + 2. Let m be 60\/(-25) - (-2)\/5. Let v be c(m). Suppose -y + 31 = -v. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 + 4*o**2 + 101*o - 567. What is f(5)?\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = r - g - 27, 0 = 3*r + 3*g - 108. Solve 0 = 5*s + 2*w + 29, -5*w - r = 5*s - 0*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 802905044.\nAnswer: 2, 2837, 70753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 - 44*l - 998. Calculate c(-15).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2793 - -3189. Suppose 4*j + r = 179, -2*j + 0 = r - 91. Calculate the greatest common divisor of j and m.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 439 is divided by 55?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 7 = -8. Calculate the greatest common factor of 27 and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 x when three letters picked without replacement from {t: 2, x: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of -q**8\/2520 + q**5\/5 + 3*q**2 + 5. Let b(t) be the third derivative of h(t). Let f(z) = -5*z**2. Determine b(f(k)).\nAnswer: -200*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of 0 - 4*q**2 + 0*q + 1\/15*q**5 + 0*q**3 + 0*q**6 + 0*q**7 + 0*q**4 - 1\/112*q**8. What is the third derivative of z(v) wrt v?\nAnswer: -180*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*r + 7. Suppose -r*l + 4*l = 74. List the prime factors of l.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 1530*c + 257. Is r(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 - -25. Solve 1 = 4*t - q for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**3)**(-32))**(1\/13)*(((d\/(d*d**(2\/3))*d)\/d)\/d*d)**24*(d**0)**(-2\/73) assuming d is positive.\nAnswer: d**(-144\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j - 43. Suppose r - p - 5 = 3*r, 3*r = -p - 5. Let v be o(r). Let f = 73 + v. Is 11 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.04968 rounded to one dp?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of -5*y**4\/2 - 125*y**3\/3 - 40*y**2 + 2240*y + 4157. What is s in w(s) = 0?\nAnswer: -8, 7\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 8452*q + 456392. Determine o(-54).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1237 + 173 = -203*l + 5026 for l.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 0. Let w(l) = 17*l - 71. Let u(c) = 15*c - 73. Let i(p) = -7*u(p) + 6*w(p). Let z be i(10). Calculate the greatest common factor of z and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8159.36 + -8159. Which is the second smallest value? (a) x (b) 0.17 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -5. Suppose 2 = 7*q - x*q. Solve -q - 15*c + 4*c - 3*c**4 + 7*c**3 - 3*c**2 + 3 + 8*c = 0.\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 1 + 6*h**2 - 2*h - 4*h**2 - 2*h**2 - 7*h**3 + h**2. Suppose -13*m = -12*m + j - 5, -5*m + 17 = 3*j. Calculate v(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 94092359 and -230794.\nAnswer: 93861565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 16\/54*3\/4. Let q = -0.4 + 0. Let x = -956 - -951. What is the second smallest value in q, x, o?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - 3. Let f = -5 - s. Let b = f - -1.95. Round b to one decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35)\/17 - (3 - 5) - (34 + 97984\/(-1088)).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -3, -618.\nAnswer: -618, -3, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of -f**5\/60 + f**4\/6 + 5*f**2. Let j be r(2). Suppose -j*d = d - 185. Is d a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/1008 and -55\/10304?\nAnswer: 92736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((6\/(-927))\/((-35)\/(-252)*6))\/(22\/(-55)).\nAnswer: 2\/103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 + 2*d - 3. Let g be h(-4). Suppose -4*y - 36 = g*f - 0*y, 0 = 5*f + 5*y + 40. Is 6\/f*(-190)\/15 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -75*q**3 + 4515*q**2 + 3648*q + 732.\nAnswer: -3*(q - 61)*(5*q + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2053970 is divided by 127.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 311 divide 10838039?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*n**3 - 7*n**3 + 7*n**3 - 29*n**3.\nAnswer: -19*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a gram in milligrams?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = -c + 1, 2*c + 5*f - 2 = 18 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -223753354 - -223727317.97882. Let d = n + 26037. Let j = -0.98 + d. Round j to four dps.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of -p**4\/24 - 84*p**2. Let t(b) = 14*b**2 + 8*b. Let s(c) = -14*c**2 - 6*c. Let m(r) = 4*s(r) + 3*t(r). Determine g(m(n)).\nAnswer: 14*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + (-11 - (8 + -20) - -8)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-42 - -32)*2\/(-10))\/((-110)\/77)?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 37361 and 336.\nAnswer: 37697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1198\/2655 + -2\/295. Factor 14\/9*l**2 - 4\/9*l**3 - 14\/9*l + o.\nAnswer: -2*(l - 2)*(l - 1)*(2*l - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 810908428 to the power of 1\/5, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (65 - 40 + 13 + (1 + 2 - 1)*(0 + 0 - 1) + 3 - 4 + 4)*(m + 6*m + 4*m) to w + z*m and give z.\nAnswer: 429","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 68 + -65. Suppose 10 = d - 5*f, -3*d + d + h*f + 13 = 0. Suppose i = 2*i + d*t - 84, -5 = -t. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*i**3*l**2 + 2*i**3 - 124*l**2 + 308*l wrt l?\nAnswer: -4*i**3 - 248","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssossssasossssoss. What is prob of picking 1 s and 1 o?\nAnswer: 39\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 - -15. Suppose -g = l*g. Suppose 10 = -2*d + 4*k + 2, -4*k + 16 = g. Let s(f) = f - 5. What is s(d)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 199 by -8111.\nAnswer: -199\/8111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -14*k**2 + 17*k + 37. Let z(c) = 5*c**2 - 6*c - 13. Let i(h) = 6*j(h) + 17*z(h). Suppose 7 = -o + 5*f, o - 2 = 4*f - 8. Calculate i(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.19 take away -140329?\nAnswer: 140328.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -52, -96, -142, -190, -240, -292, -346?\n\"Answer: -p**2 - 41*p - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-7\/2))**(-41) assuming r is positive.\nAnswer: r**(287\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2385.\nAnswer: 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6 and -4993?\nAnswer: 29958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43529*3731.\nAnswer: -162406699","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 178 + -494?\nAnswer: -316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4722379915?\nAnswer: 5, 11, 307, 279679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15458674 to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 c when two letters picked without replacement from {c: 7, y: 2}?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.1 - -2. Let a be ((-12)\/(-18))\/(1\/3). Let d be (a\/(-1))\/(16\/(-3)). What is the closest to u in -0.1, d, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -21 - 5) + 5 + (-22 + 37 - 14).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*w**4 - 14*w + 14*w + (-4 - w + 4)*(-3*w + 3*w + 2*w**3) - 12*w**4 + 3*w + 2 + 0*w - w.\nAnswer: -8*w**4 + 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -155 + 228.4. Let b = 83 - y. Round b to 0 decimal places.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32770 and 15950?\nAnswer: 1802350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*t**3 - 5*t**3 + 0*t**3)*(529 + 76*t - 529 + (6 + 4 - 4)*(0*t + 2*t + 0*t)) to the form s*t**4 + u + d*t**3 + v*t**2 + o*t and give s.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5829, 11736, 17655, 23586, 29529, 35484?\n\"Answer: 6*k**2 + 5889*k - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15.1 + 16. Let d = t - 1. Let x = 4 + -3. Are x and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 96 and -778801033?\nAnswer: 778801129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 79920686112 and -14?\nAnswer: 79920686126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11.57 + 13.57. Which is the fourth smallest value? (a) -7 (b) 1.4 (c) 5 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of -n**7\/840 - 8*n**3\/3 + 30. Let u(s) be the third derivative of k(s). Let v(a) = -5*a**3 - 2*a. Determine -6*u(r) + v(r).\nAnswer: r**3 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 143.17 and -349412.2?\nAnswer: 349555.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 AM and 2:06 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*o - 4*o - 2*o)*(-1 - 6*o**2 + 1).\nAnswer: -6*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 - 84. Let p(r) = 1. Let s(j) = 17*j + 17. Let h(z) = 6*p(z) - s(z). Let g(m) = -3*m - 2. Let k(u) = 22*g(u) - 4*h(u). Determine n(k(i)).\nAnswer: 4*i**2 - 84","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1412, -2707, -4000, -5291?\nAnswer: -6580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -154 - -159. Solve -w*x + 12 = -4*r - x, r = 5*x - 19 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1\/36 - -23\/36. Sort 14, -1\/4, g in descending order.\nAnswer: 14, g, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, x: 1, l: 4, h: 1, d: 1}. What is prob of sequence xw?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 minus 253212891?\nAnswer: -253212890.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.25 * 0.077\nAnswer: 0.01925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 54\/5 in 0.4, 0.5, 2576, -1\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 4 + 0*b**2 - 2*b**2 + b + 3*b**2 + 2*b. Determine v(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13257856?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.4803*0.05\nAnswer: 0.024015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 4 = 2*d - 0, -9 = 2*p - 5*d. Let k be 56\/(-70)*5\/p. Factor -k*g - 2*g - 2*g + 3*g + 3*g**3.\nAnswer: 3*g*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lg when two letters picked without replacement from eghvelvr?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12356668?\nAnswer: 2, 29, 37, 2879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-2\/5)*p)**(13\/4)*(p\/p**(-3\/2))\/p*p*p*(p**(-3)*p)\/p)\/(p**1\/(p\/p**(-2\/3))*(p**(1\/4))**(-22)) assuming p is positive.\nAnswer: p**(217\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (45\/10)\/(116\/(-56) - -2). Let r = t + 68. What is the greatest common factor of r and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 514640 (base 7) to base 6\nAnswer: 1520002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -0.15, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - m - 1 + (-2 + 5 - 4)*(-1 + 1 + m))*(-199*m + 156*m - 1221*m) to the form y + d*m + p*m**2 and give p.\nAnswer: 2528","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*n + 8*n + 4 - 2)*(-3*n + 3*n + n) to b*n**2 + k + c*n and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnn when three letters picked without replacement from olnobbonon?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -7891, -16266, -24641?\n\"Answer: -8375*f + 484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2741 = c - 4*w - 2769, -8 = c + 2*w for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/104 and 73\/260.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-57)\/(-18) + (-1)\/(-6)*-1. Put 5, -1, 4, z in ascending order.\nAnswer: -1, z, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 6*t**2 + t. Determine y(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 0. Suppose a*z - 26 = 46. What is the remainder when z is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3007009902.28254 - 2953318409.58253901. Let x = j + -53691491. Let u = -1.7 + x. Round u to seven dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 288 a factor of 1466476590?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -843*p**2 - 5 - 3 + 6*p - p**3 + 841*p**2. Determine y(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 24. Calculate the smallest common multiple of (-36 - (-1175)\/50)*120\/(-50) and k.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 - m**2 + 4*m + 8. Let q be g(0). What is the highest common divisor of q and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -466, -1677, -3696, -6523?\n\"Answer: -404*b**2 + b - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ke when two letters picked without replacement from memmmmemmmmqnmnkee?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -335517 - 31?\nAnswer: -335548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (16\/28)\/(34\/(-17)). What is the third biggest value in 5, z, 30, -1\/3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 1)*(-3 - 1 + 1)*(-1 - 3 + 3)*(-5 + 4 + 2)*(43 - 176 + z - 1)*(-3 + 1 + 3) to the form t*z + g and give g.\nAnswer: 402","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 382 a factor of 182560997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-110)\/(-57) + -2)*(-19)\/((-456)\/36)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24949, 24933, 24919, 24907, 24897?\nAnswer: 24889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*b**2 + 4*b**2 - b**2 - 15*b**2 + 4*b**2.\nAnswer: -21*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -5 + 32 - -18?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -77827883267014 plus -0.2?\nAnswer: -77827883267014.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 1:46 PM?\nAnswer: 4:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of 20345 and -44.7.\nAnswer: 20300.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*c - 121 - 89. Suppose 5*i + 45 = -5*j, -5*i = -3*i - 5*j - c. Put 20, -0.4, i in decreasing order.\nAnswer: 20, -0.4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*a**4 + 3*a**4 + 3*a**4 + (-a + 2 - 2)*(5*a**3 - 6*a**3 - a**3) + 54*a**4 - 16629*a**2 + 16629*a**2.\nAnswer: 55*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.8864 to 1 decimal place.\nAnswer: 13.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 15 = 3*a, 0 = 3*m + 5*a - 3. What is the lowest common multiple of m and 22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.129 * 1.\nAnswer: 0.129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 3, -3, -1\/18, 0, 14.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -133 (base 4) in base 5?\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 78 + -34 - (-9 + -6 - -21)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(3\/(-1 - 2)). Let z(i) = -i**3 + 3*i**2 + 2*i - 3. Let q be z(t). Suppose -15 = -q*r + 15. Solve 0 = p - r*p - 15 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32, -97, -206, -359, -556?\nAnswer: -797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of -t**5\/60 + 17*t**4\/24 + 11*t**3\/3 + 18*t**2. Let m be u(18). Differentiate 7*x**4 + 2 + 1 + 9*x**m + x**4 wrt x.\nAnswer: 68*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -30\/1133 and -53\/39552?\nAnswer: 435072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12410 + -1782. List the prime factors of q.\nAnswer: 2, 2657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**4\/2 - 55*v**3\/2 - 2250*v**2.\nAnswer: v**2*(v - 100)*(v + 45)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.03 - 0.03. Let h = n + -3. Put h, 3, -0.2 in decreasing order.\nAnswer: 3, -0.2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 910099849 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 47027 and 185.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -7028733 smaller than -7028737?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 3*v - 99. Suppose 4*z = -4*x + 72, -3*z + z + v = -5*x. Suppose -139 = -5*r - z. Solve -5*f + r = -1 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*a - 3*a = 126. Suppose 54 - a = 8*o. Put -2\/7, -0.04, o in increasing order.\nAnswer: -2\/7, -0.04, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -375000*o. Let k be n(-8). Round k to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 199010 rounded to the nearest 1000?\nAnswer: 199000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 21 = -k. Solve -4*i = -3*t - k, -4*i - t + 3 + 0 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 243290730 and 243290730?\nAnswer: 243290730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04719 times 1553.1?\nAnswer: -73.290789","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.18 decades in months?\nAnswer: 6501.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4805.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2326174 by 5.\nAnswer: -2326174\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 + 3*p + 6. Suppose 5*d + 21 = 6. Let w(x) = 5*x**2 + 7*x + 3. Let f be w(d). Suppose -3*n + f = 3*m, -8*m + 15 = -3*m. Give z(n).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.6 - -20.6. Let l = x + -19.932. What is l rounded to 2 dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10 and -809396.\nAnswer: 8093960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-8)*-2)\/(4\/2)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6855 is divided by 6728.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1601695 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2383 + -2380. What is the greatest common factor of z and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p, 1 v, and 1 i when four letters picked without replacement from pvpvipp?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3163 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 483.3922 * -0.2.\nAnswer: -96.67844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 17156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66528?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1159*p + 6648 + 22056 = 55*p for p.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 4*q**2 + 205*q + 51. Let a be o(-51). Let x(r) = -2 + 3*r**2 + 2*r + 0 - r**3 - 2*r**2 - r. Determine x(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75190273?\nAnswer: 43, 1748611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -42 + (15 - -44) + (-23 - 3).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of o**7\/1050 - o**6\/300 + 11*o**2\/2 - 26*o. Let h(j) be the first derivative of u(j). Solve h(n) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2617338854?\nAnswer: 2, 13, 2287, 44017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - g + 0*g = 111, -4*f + 2*g + 148 = 0. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31\/6 + 13\/2. Solve i*g + 0 + 2*g**2 = 0 for g.\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 133336293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that n**3\/4 - 899*n**2\/2 - 139279*n\/4 - 560027 = 0.\nAnswer: -52, -23, 1873","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/54*-6 - 51\/(-135). Let t(k) = k**3 + 5*k**2 + 4*k + 3. Let o be t(-4). Suppose o*z - 7*z = 0. Is z at least s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3097 + 8718. Is k a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**3 + 3731736*k**2.\nAnswer: 4*k**2*(k + 932934)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 30*s - 180. Let r(v) = 9*v - 54. Let u(y) = -10*i(y) + 33*r(y). Determine u(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -3962*a**2 + 4980*a + 4979. Calculate b(-1).\nAnswer: -3963","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of 4*r**4\/3 - 5*r**2 + 12*r. Differentiate c(p) with respect to p.\nAnswer: 32*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2\/15 of a millennium?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14601, -14581, -14567, -14565, -14581, -14621?\nAnswer: -14691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o**2 + 3*o**2 - 2*o**3 + (-2*o**2 + 3*o**2 - 2*o**2)*(21*o + 15*o - 54*o).\nAnswer: 16*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-105)\/33 + 4\/22. Let k be -7 + 5 - 7\/p. Which is smaller: 0.1 or k?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 795?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24672\/1440 + 2\/(-15).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 55602, 111227, 166874, 222543, 278234, 333947?\n\"Answer: 11*v**2 + 55592*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 22 = -2*w, w - 6 + 1 = 0. Solve 1 + m = -c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 3*k**2 + 6*k + 4. Let s = -37807 - -37813. Let n(i) = 2*i**2 + 3*i + 2. Give s*v(o) - 13*n(o).\nAnswer: -8*o**2 - 3*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 3 + (sqrt(190)\/(sqrt(10)*-1) - (sqrt(19) + sqrt(19) + -1)*3)**2 + -1 + sqrt(304) + 4 + (-1 + -1 + sqrt(19))**2*4.\nAnswer: -54*sqrt(19) + 1036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmo when three letters picked without replacement from xmmmomxhmvmvv.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -507 = -5*x + 138. Let n = 130 - x. Solve -1 = j + n for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 116282604 divided by 58141302?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -612*-29244.\nAnswer: 17897328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hlhhhcxclxlxlxl. What is prob of sequence xc?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6447 is divided by 391?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17 + 3196*z**2 - 6613*z**3 + 28 - 34 + 23 wrt z.\nAnswer: -39678","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 9*z. Let w(g) = -g - 2*g**2 - 111*g**3 + 0 + z. Let m be w(-1). What is the highest common factor of 10 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-87)\/(-9) + 6\/(-9). Suppose 5*n = 3*p - 3, 0 = 4*p + 6*n - z*n - 15. Suppose p*b - 3*b = -u + 170, 5*b - 5 = 0. What are the prime factors of u?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.01731*2.\nAnswer: -0.03462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 - 7*r**2 - 8*r - 10. Give d(6).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r**2. Let b(z) = -10*z - 7*z + 12*z. What is b(h(c))?\nAnswer: -10*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 76?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of w**5\/30 - 5*w**4\/24 - 8*w**2. What is the second derivative of v(f) wrt f?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2 - 552*q + 551.\nAnswer: (q - 551)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1191 is divided by 372.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -53, 3, -16\/9 in decreasing order.\nAnswer: 3, -16\/9, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 626389?\nAnswer: 626389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 2)*(0*q - q + 3*q) + (-4*q - 3 + 3)*(-2 - 1 + 1) + 14 + 4*q - 14.\nAnswer: 16*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30322, 60617, 90912?\nAnswer: 121207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 18, 57, 112, 177, 246, 313?\n\"Answer: -d**3 + 14*d**2 + 4*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/8, -3, -5, 2 in descending order.\nAnswer: 2, 3\/8, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1)\/n)**(-24))**(-22\/7)*(n**7\/(n\/((n*n**(-7)*n)\/n)*n))**(2\/23) assuming n is positive.\nAnswer: n**(-24302\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -9941 and 30784.2?\nAnswer: 40725.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22440, 44872, 67302, 89730, 112156, 134580, 157002?\nAnswer: 179422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/8*(3 - 15)*-1. Suppose -v = -4*q - 59, 0*v + 4*q + 137 = 3*v. Suppose -l = -c - v. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 660, 1323, 1986, 2649?\nAnswer: 3312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1528\/15 - 305\/3. Solve 0 + a*v**2 - 1\/5*v**3 + 0*v = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (1*sqrt(252))**2 + 1 - -4*(-6*sqrt(343))**2*6.\nAnswer: 296602","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -11*m. Let t(d) be the second derivative of 7*d**3\/3 + 4*d - 1. What is t(i(v))?\nAnswer: -154*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 475822277?\nAnswer: 7, 67974611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2862482 to the power of 1\/2, to the nearest integer?\nAnswer: 1692","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124*j - 81 = 151*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 226*m**5 + 50*m**4 + 6*m**2 + 1830989*m wrt m?\nAnswer: 4520*m**3 + 600*m**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 3 + 1 = 0. Suppose -t*a + 2*p = a - 166, 4*p = 16. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 83, 153, 185, 161, 63?\n\"Answer: -3*y**3 - y**2 + 94*y - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173373 is divided by 96?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a factor of 9052236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*o = -28*o - 1638. Calculate the common denominator of o and -46\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -5*a + 0*a**2 - a**2 + 5*a**2 + 0*a**2 + 3 - 7*a**3. Let o be d(3). What is the units digit of o\/(-20) - (-6)\/8?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1996569*f**3 - 311459112*f**2 - 881708*f - 624 = 0. What is f?\nAnswer: -2\/1413, 156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(20)\/sqrt(4))**2 + sqrt(5)*-5*4.\nAnswer: -20*sqrt(5) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 304188.4 centuries in millennia?\nAnswer: 30418.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -267 (base 9) to base 16.\nAnswer: -df","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 276140085 to the nearest integer?\nAnswer: 651","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 33\/5 of a centimeter?\nAnswer: 66000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g - 7 + 7)*(-2*g**4 - 4 + 4 + (g - g - g)*(-2 + 3*g**3 + 2) + 3*g**4 - 6*g**4 + 2*g**4).\nAnswer: 6*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 5) in base 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -2*j + 570 + 177, 4*k - 599 = -3*j. List the prime factors of k.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8b771 + -b?\nAnswer: 8b765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + x = 27, 0 = -2*u + 5*u - x - 22. Let t = 18 - u. Is 11 greater than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141094 times 1?\nAnswer: 141094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1036 - 5.1036. Which is the closest to -1\/4? (a) -3 (b) -6 (c) k (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of 0*l**2 + 0*l + 2\/3*l**3 + 5. Let k(v) = -2*v. What is k(i(g))?\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -204032 by -4.\nAnswer: 51008","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -169*i**2. Let k(c) = -26*c + 36. What is k(f(u))?\nAnswer: 4394*u**2 + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 3\/8, 3, -0.2 in ascending order.\nAnswer: -0.2, 1\/4, 3\/8, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 136*v = 131*v - 36, 0 = -2*u + 3*v + 16 for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-876)\/(-4)*1\/3. What is b rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 12345636.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1212 + -1182. Suppose -3*c - 135 = -x*c. Factor -11\/5*t**3 + 4\/5*t - 12\/5*t**2 + c*t**5 + 6*t**4 + 0.\nAnswer: t*(t + 1)**2*(5*t - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*n - 86 = -316 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 4*w + 22, 2*q + 4*w = 2*w - 2. Let r be -12 + 28 - (-1 + 1)\/3. What is the highest common divisor of r and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (48 + 1)*(-7 - -8). Suppose 0 = s + 10 - c. Suppose -5*r = 4*i - i - s, -4*r = 12. Calculate the greatest common factor of i and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4\/21 - -41\/105. Let g be (1\/(-2))\/(143\/44 - 5). Put 5, i, g in decreasing order.\nAnswer: 5, g, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -3*v + 4*d, 3*d = v - 6*v - 11. Let h be v\/10*-10 - -14. What is the greatest common factor of h and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 4)*(-1 + 2 - 1 - 337*f**2 + (-2*f**2 - 2*f**2 + 3*f**2)*(6 + 0 - 8)).\nAnswer: -335*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.21432566 to one dp.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3825 = -25*q - 0*q. Does 9 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.17 in 0, 3, 2, 0.5, -2.6, 74?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -104 in -4, -212\/3, -0.3?\nAnswer: -212\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 + (-37 - 10) - (0 + -22)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - -1)*(-9)\/(-6) - 356\/(-178)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/21, -10, -0.038 in increasing order.\nAnswer: -10, -0.038, 2\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14521 - -1?\nAnswer: -14520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 451*o - 452*o = -224. Calculate the highest common factor of 1456 and o.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -134*m. Let s(i) be the second derivative of i**4\/3 - 836*i. Give s(g(c)).\nAnswer: 71824*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, i: 7, w: 1, v: 1, y: 4, m: 2}. What is prob of sequence yw?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1507288 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*t + 21*t + 29 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30 + -27. Let f be (-2 - (-40)\/6)*(-117)\/(-26). Solve -3*g = h*y - 0*g - f, -22 = -2*y - 4*g for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 3) in base 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 406.829 - 406.8. Which is the second biggest value? (a) -176 (b) -0.4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 - i - 47. Determine k(0).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*b**2 - 27*b**2 + 2*b**4 - 7*b**4 - 2*b**4 wrt b.\nAnswer: -168*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 - 9*z**2 + 6. Let o(n) = n**3 - 38*n**2 + 104*n + 26. Let m be o(35). Calculate b(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, -13.71, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 + -9. Let m(g) = g**3 + 8*g**2 - 22*g - 173. Let v be m(-8). Solve 0 = -0*n + f*n - 2*i - 12, 0 = -4*n - 5*i + v for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 68.72 - 28256\nAnswer: -28187.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 1097*h + 10196. Let q be s(-9). Calculate the greatest common divisor of 782 and q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 95, 833, 2843, 6761, 13223?\nAnswer: 22865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104290385.\nAnswer: 5, 20858077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yjwy when four letters picked without replacement from wuyuwyjuuuyw?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5844 and 300.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {j: 5, k: 1, r: 7, g: 3}.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, d: 1, s: 3, f: 3, p: 1, l: 2}. Give prob of picking 1 l and 1 d.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-38)*y*y**(-3\/7)*y)\/(y**16*y*y**(-28)\/y) assuming y is positive.\nAnswer: y**(-164\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 17*a + 86. Let c be t(21). Let u = c + -381. What is u rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 3 - 12*z**2 + 4*z**2 to x*z + f + t*z**2 and give t.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 99*a**2 + 29*a - 14. Let z = -646 + 623. Let b be o(z). Round b to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 14*g**2 + 17*g + 3. Let b(j) = -62*j**2 - 69*j - 12. Let i(x) = -5*x - 37. Let a be i(-7). Let k(p) = a*b(p) - 9*f(p). Calculate k(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*h - 24 + 120 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/3 + 1*0\/2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.617392 + -995395.\nAnswer: -995396.617392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 19925881?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 9304000.05 to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06703765 take away -1.8?\nAnswer: 1.86703765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -10110010001 (base 2) to base 15\nAnswer: -650","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19 - -65. Is w a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 AM and 9:21 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5665967 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 5559, 5544, 5515, 5466, 5391, 5284, 5139?\n\"Answer: -z**3 - z**2 - 5*z + 5566","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.714471ml in litres?\nAnswer: 0.004714471","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 60\/(-25) - 8\/(-20). Suppose 2*m + 12 = -4*y, 8 = 2*m - 3*y - 8. Let p(k) = -2 + k**2 + k**m - 2*k - k**2. Calculate p(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2011 divide 50266783?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.017? (a) 0.04 (b) -2 (c) -6 (d) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 + 7 + -78)*(-32)\/(-112)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.5 and 0.1947?\nAnswer: 1.6947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eut when three letters picked without replacement from etu.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= -2\/53039?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -236 + 235.5. Let m(n) = n + 2. Let k be m(2). Which is the nearest to -1\/3? (a) k (b) 0.4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 PM and 3:05 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/((-9630)\/(-35)))\/((-1)\/(-72)*-126).\nAnswer: -2\/107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3374 divided by 1687\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from uuqqquuuqqqurq?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 43563434 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -4*a**4 + 1894*a**3 + 42336*a**2 + 116154*a - 160380 = 0.\nAnswer: -18, -9\/2, 1, 495","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-57)\/12*1)\/(((-4)\/30)\/(552\/1035))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -4.18.\nAnswer: -2.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-5)*f*f)\/f)\/f**(-2\/13))\/((((f*f**(-2\/9)*f*f)\/f*f*f)\/f)\/(f*(f**0\/f)\/f)) assuming f is positive.\nAnswer: f**(-892\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/2 - (21\/12 - 1). What is the nearest to 0.1 in -1, -3\/2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12\/10)\/((-45)\/(-75)). What is the third derivative of l**3 + l**s - 5*l**3 + 7*l**2 wrt l?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16945526 to the power of 1\/3, to the nearest integer?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -212010012022 - -21100?\nAnswer: -212002220222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 57*(-12)\/(-612)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -4*g - 6. Let u be j(-5). What is the common denominator of 44\/(-8)*20\/u and 4\/(-16) + (-274)\/24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.6 + -0.3. Let c = 20.85 - k. Let l = -2.05 - c. What is l rounded to the nearest integer?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(405) + -4*(sqrt(405) + sqrt(405) + 4) + (sqrt(405) - (sqrt(405) + 1*-5*sqrt(405) - sqrt(405))) + 3)**2.\nAnswer: 288*sqrt(5) + 661","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 942347912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12920?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 2\/11 (b) 0 (c) 2\/15 (d) 3937 (e) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3341065 and 5397105.\nAnswer: 70162365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 2*a + 217, -2*w = 5*a + 45 - 126. Calculate the remainder when w is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -c**3*v**2 - 31*c**2*v**2 - 172*c*v**2 - c wrt c.\nAnswer: -6*c*v**2 - 62*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, 2\/3, 0.043, -15, 47?\nAnswer: 0.043","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 + 12*r + 11. Let c be q(-11). Suppose c = 16*l + 15 - 47. Solve -i - 5*y - 15 = -6*i, l*y + 8 = 4*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -20 + 23 + -17 + -1 + 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -248083 (base 11) to base 16.\nAnswer: -5f8ed","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (-39)\/9)*(-2)\/(-16)*66?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.263 + 14.965. Let f = z - -0.198. Let c = f - -27.7. Round c to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 2:19 AM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of q**3\/3 + 4*q**2 + 12*q - 1. Let h(b) = -7*b**3 + 41*b**2 + 2*b + 18. Let y be h(6). Give w(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q\/(q\/(((((q\/(q*q**(-1\/8)))\/q)\/q*q)\/q)\/q)))\/q)\/q)\/q*q**(1\/28)*q)\/((q**(2\/7)\/q)\/((q\/(q**16*q))\/q)) assuming q is positive.\nAnswer: q**(-169\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.670464206 to 1 decimal place.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g - 5*g + g)*(-1 + 0 + 4)*(2 + 0 - 1)*(-2*g - 2 + 2).\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 at least as big as -0.162?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 1027 divide 2406029?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2318228 divided by 61006.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 3590.770324 to 0 decimal places.\nAnswer: 3591","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 157*u**2 - u**4 + 59*u**3 - 9*u**3 - 21*u**3 - 6*u**3 wrt u.\nAnswer: -24*u + 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8\/23 - 25\/138. Let c(v) be the second derivative of 3\/2*v**2 + v + 0 + g*v**3. Give c(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -791.67 - 14.33. Let h = 816 + l. Sort -4, -0.06, -2, h in increasing order.\nAnswer: -4, -2, -0.06, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5.999 and 0.07.\nAnswer: -0.41993","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s + 0*s + 0*s)*(1 + 8 - 4).\nAnswer: 15*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 2:53 AM?\nAnswer: 3:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1471?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qogq when four letters picked without replacement from {g: 4, q: 4, t: 1, i: 2, o: 7}?\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-80)\/6*(0 - (-102)\/(-5)). Let y = b - 254. Calculate the remainder when 215 is divided by y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, 7, 2, -179, -6.\nAnswer: -179, -6, 1, 2, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from evxtleeexgetgeege. What is prob of sequence gv?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -91\/20 in 1\/4, -1\/3, -2\/13, -1\/10?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1040 and 161655?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/7 - (-90)\/21. Suppose -w - 2*f = -4*f - 4, -3*f + 12 = 3*w. Suppose j + c = -w, 0 = o*j - 2*j - c + 8. Put -3, j, 4 in increasing order.\nAnswer: j, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.056481787 to 2 decimal places.\nAnswer: 1.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 - 17. Suppose -4*t - 24 = -7*t - 3*v, -3*v = -3*t + 48. What is the tens digit of (-774)\/i - (-30)\/t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (6 + -4 - 2)) + -4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12751\/60 + -3184\/15. Which is the third smallest value? (a) v (b) 2 (c) -328\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from uuoooouoooouoo?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2. Let c(w) = -14*w**2 + 7*w + 28285. Calculate c(u(y)).\nAnswer: -14*y**4 - 7*y**2 + 28285","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of 0*i + 0 + 0*i**4 + 9*i**2 + 13\/6*i**3 - 3\/20*i**5. What is the derivative of g(c) wrt c?\nAnswer: -18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11592 by 3.\nAnswer: -3864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a century in months?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -176709, -706832, -1590369, -2827320, -4417685, -6361464, -8658657?\n\"Answer: -176707*z**2 - 2*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18.912 * 4.\nAnswer: 75.648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, e: 6, j: 3}. What is prob of sequence jej?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 219509268?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -1\/4 (b) -0.3 (c) -5568.7 (d) -29 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 6 = -2*o. Suppose 0 = 5*t + 4*w - o, -5 = 5*w + 5. Suppose 0 = t*b - b - 5. Do b and 4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**10*k)\/(k\/k**(1\/4)*k) assuming k is positive.\nAnswer: k**(37\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -211 - -214. Suppose -2*x + j*x = -2*v + 13, 0 = 2*v + 5*x - 33. Solve -2*l = -5*d + 9, 2*l = v*d - l - 10 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 - 3*g**2 - 2*g + 12. Let z be t(3). Suppose 0 = -m + 5. Suppose 0 = m*a - 3*a. Solve a = z*b - b + 20 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 3299868 and 3299867 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.7 + -0.8. Let h = -3\/7 + 16\/21. Let d(r) = 2*r + 43. Let l be d(-23). Put l, a, h in descending order.\nAnswer: h, a, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**5 - 144*f**4 + 282*f**3 - 140*f**2.\nAnswer: 2*f**2*(f - 70)*(f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.812 and 76.\nAnswer: 61.712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4462535 is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -7*m**2 - 3*m - m + 4*m. Let i be (15\/6)\/5*0. Let u(c) = -2*c**2 - 4*c**2 + 7*c**2 + i*c**2. What is u(x(n))?\nAnswer: 49*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 11:09 AM?\nAnswer: 7:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/20)\/((-78)\/(-104))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40911 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: Suppose -1368*k + 1364*k = -6548. What are the prime factors of k?\nAnswer: 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*z**2 + 11*z**2 - 1 - 5*z**2.\nAnswer: -2*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*m**2 + 642 + 0*m**4 + 5*m**4 - 324 - 289 + 2*m**4 in the form z*m**2 + o + c*m**4 + g*m**3 + d*m and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 - 286*u + 4228. Give f(14).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000310336 rounded to six decimal places?\nAnswer: 0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 633\/(-6) + (-1)\/2. Let b = k + 309. Let q = b + -112. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that p**2\/6 + 19792*p\/3 - 39587\/2 = 0.\nAnswer: -39587, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17*(0 + 2) + -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -2*i**2. Let j(c) be the first derivative of -c**2\/2 + 136*c - 90. Calculate j(u(m)).\nAnswer: 2*m**2 + 136","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 34857 - 10030. Calculate the highest common factor of u and 74.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 - -1 - (-783)\/3. Suppose -38*p - b = -39*p. What is the highest common factor of 37 and p?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 9. Suppose -2*r = 4*g - 16, r = v*g + 2*r - 10. Is 7 a factor of g\/(-8) - (678\/(-24) - -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9268 divided by 1785\nAnswer: -1324\/255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 3 z when four letters picked without replacement from vgvvgzzzz.\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110110110100 (base 2) in base 12?\nAnswer: 4498","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**12\/d*d)\/d)**(2\/43) assuming d is positive.\nAnswer: d**(22\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (7\/(-2))\/((-2)\/4). Suppose b - 5*o + 0 - 10 = 0, 5*o = -b. Suppose b*z = 2*x + 2*z - q, -z = 5*x - 26. Solve i = 5*d - 5, -3*i - 25 = x*d + 2*i for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5758438 (base 9) to base 12.\nAnswer: -105b608","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25 (base 10) to base 12.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38506?\nAnswer: 2, 13, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 + 0 - 1)*(0*h + h - 2*h) + 2*h - 3*h + 15*h + (h + 1 - 1)*(-1 + 0 + 0) + 3*h + 0*h - 4*h.\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 5 = -2*v, -v + 15 = v - y. Suppose 3 = z - 10*t + 9*t, -10 = -4*z + 2*t. Suppose 0 = 5*s - s - v*l - 80, -37 = -3*s - z*l. Is 6 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g**4 - 6*g**2 + 6*g**2)*(0 - 5 + 3) - 5*g**3 - 2*g**4 + 5*g**3.\nAnswer: -8*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000000559 to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 730423?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 175 = -3*d - 119. Let y = 133 - d. Does 33 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4010, -3922, -3786, -3602, -3370?\n\"Answer: 24*l**2 + 16*l - 4050","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 - 1. Let w(t) = t**3 - 2*t**2 - 2. Give -w(z) + 4*x(z).\nAnswer: -z**3 - 2*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, v: 5, h: 1, d: 3, m: 8, i: 1}. What is prob of sequence vgvm?\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*k**2 + 4*k**2 + 0*k**2)*(3*k - 3*k + 2*k - k + k + 4*k + (5*k - k - 3*k)*(3 - 2 + 0)).\nAnswer: -7*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4096 is divided by 1179.\nAnswer: 559","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -24*1105\nAnswer: -26520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 104\/9 or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 402 a factor of 82948507?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -74*s + 25. Let r = -9 + 11. Suppose 2*u + 5*v = -9 - 14, r*v = -4*u - 54. Is x(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10571 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-14\/5)*d\/d**(-3\/2) assuming d is positive.\nAnswer: d**(-3\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 81 - 57. What is the highest common divisor of n and 216?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - 2. Let f = v - -4. What is the smallest value in -0.5, f, -1\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 + 6*g**2 - g + 7. Suppose 0 = -5*c + 10, m - c = -m + 10. Let l be w(m). Suppose -43*a + 193 = 64. Solve y = l - a for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.1 and 6630\/191 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) 4 (b) 0.5 (c) 1\/3 (d) -612 (e) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/(z**(3\/5)\/z)*z))\/z**(8\/5))\/(z\/(z\/z**(5\/7)*z)*(z\/(z**(-3\/10)\/z))\/z*z) assuming z is positive.\nAnswer: z**(-351\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*w**4 + 458*w**3 + 525*w**2 - 2*w.\nAnswer: -72*w + 2748","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**4 + z**4 - 2*z**4)*(1 + 3 - 1)*(-5 - 2 + 0).\nAnswer: 21*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1558000 rounded to the nearest 100000?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*p - 4*i + 5*i, -i = 5*p - 16. Let l(n) = 2*n**2 - 4*n - 3. Let g be l(-1). Differentiate p*w + 2*w - 19 + 4 - g*w with respect to w.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -67*l + 805. Let d be j(-7). Calculate the highest common factor of d and 104.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(((k**(2\/9)*k)\/k)\/k))\/k**(-14))\/((k*k*k*k**(3\/10)\/k)\/(k*k*k\/((k*(k*(k*k*k**(-15)*k)\/k*k*k)\/k*k)\/k)*k)) assuming k is positive.\nAnswer: k**(2473\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 22 = -2. Is (-2)\/(-4) + (-82)\/p a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70430 divided by -24?\nAnswer: -35215\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 0.65657726?\nAnswer: 0.065657726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101101101 - 1010?\nAnswer: 1101100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 265 = -167. What is the remainder when 983 is divided by k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -28821 and -0.5.\nAnswer: -28821.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 278 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (5 + 4 - 0) + -3.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 + 3*x + 15. Let l be u(5). Suppose 5*n - 30 = -l*q, 3*n + 3*q = -q + 19. Solve -5*i - 23 = -5*a + a, 1 = 3*i + n*a for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-440264*a + 440264*a - 117*a**2)*(-5 - 3 + 14)*(4*a**2 - a**2 - 2*a**2) to r + u*a**3 + g*a**2 + h*a**4 + f*a and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c + 1. Let a be i(-3). Let r be 2 + 0 - (0 - a). Let p(n) = -2*n + 3. Let d be p(-1). Sort r, d, -1\/2 in decreasing order.\nAnswer: d, r, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 3*z + 206 = 0, 4*z = 4*j - 8*j + 816. Suppose 5*t - 142 = j. What are the prime factors of t?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-4*-2*(sqrt(7) + 2)*4)**2 + (sqrt(7) + sqrt(56)\/(sqrt(40)\/sqrt(5)))*-4 + -1)*-3.\nAnswer: -33798 - 12264*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2158333 - 23683898\/11. Let z = -5247 + r. Factor -2\/11*s**2 - z*s - 288\/11.\nAnswer: -2*(s + 12)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 3*j + 7, -3 - 1 = 2*j - v. Calculate the least common multiple of 11 and (12\/(-5))\/(j\/10).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 + (-16 - -11 - 17 - 49)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c + 2. Let f be b(2). Let r = -383 + 4975\/13. Which is greater: r or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0187*-3.053\nAnswer: -0.0570911","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 491\/6 + -16951\/210. What is the common denominator of h and 13\/6?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - 3*a + 0*a)*(2*a + 3*a - a) + (-2*a - 2*a + 6*a + 0*a + 3*a - a + 2*a - a + 0*a + (-5*a + 3*a + 0*a)*(0 - 2 + 1))*(a - a - 2*a).\nAnswer: -22*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c - 4. Let n be q(7). Suppose -4*z = -2*h - 22, -29 = -3*z + n*h + h. Calculate the highest common factor of 15 and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -154 - -236. Suppose 0 = -2*v - 4*m + 16, -2*v + u = 2*v - 2*m. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 5*j - 5 - 6 = 0, -3*l = -3*j - 9. Suppose 5 + 5 = l*v. Suppose z = -v*b + 130, b - 2*b + 26 = -5*z. What is the remainder when b is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 11:18 AM?\nAnswer: 6:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 7*p - s - 21, -6*p = -s + 29. Sort 0, -166, -2, -4, p in increasing order.\nAnswer: -166, p, -4, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + -637?\nAnswer: -637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 - 6*j**2 - j - 8. Suppose r + y + 13 = 3*r, 31 = 5*r - y. Suppose -2*c - 12 = 3*a, -c + 5*a = 3*a + r. Calculate o(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2940 is divided by 109?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 501, 2074, 4781, 8694, 13885, 20426, 28389?\n\"Answer: 12*u**3 + 495*u**2 + 4*u - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12920*r + 6698*r + 6595*r.\nAnswer: 373*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 58228359 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8696 is divided by 60?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3380 divided by -2?\nAnswer: 1690","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-328*c**3 + 1198*c**2 - 1198*c**2)*(c + c - 5*c)*(-3*c + 4*c - 3*c) + 2*c**5 + 2 - 2.\nAnswer: -1966*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 21774 = -0*d - 4*b, -3*d - 2*b + 65352 = 0. Is 14\/35 + d\/10 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/(-9))\/(6\/9). Let l = -31.68039 - 0.31961. Which is the fourth smallest value? (a) y (b) l (c) -3 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20113 + 20209. Factor 24*h + 3\/2*h**2 + j.\nAnswer: 3*(h + 8)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/7? (a) 105 (b) 2\/3 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4*(-18)\/(-216))\/(1\/(-90))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5659\/9 + 629. Suppose -2*u - 6 = -3*f, -4*f + u = -0*u - 8. Which is smaller: g or f?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.079 times 4317\nAnswer: -341.043","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14 by -81.\nAnswer: 14\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 187, 376, 565, 754, 943, 1132?\nAnswer: 1321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 142629?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.0016 and -3225311.5267?\nAnswer: 3225311.5283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 2*p - 57. Let j = -273 + 409. Let q = j - 79. Calculate the highest common divisor of q and p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**2 - p**2 + 2*p**2)*(20*p**3 - 15*p**3 - 8*p**3).\nAnswer: -6*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - ((21 - 14) + 9)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1459?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.2, -0.4, -1\/16?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 + (6 - (-2 + 11)). Let b(p) = -19*p**3. Give b(k).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 884673583 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + -110000101000010011?\nAnswer: -110000101000010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (272\/112 + -2)*-1*1\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 2*w + 158 = 0, 413*q + 3*w = 409*q + 288. Suppose -4*k = 5*p - 1124, 0 = -2*p + k - 0*k + 447. Calculate the remainder when p is divided by q.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1496*q + 3000*q - 1504*q - 137*q**2 as b + j*q + w*q**2 and give w.\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 142956 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -113780*s - 1 - 1 + 113777*s. Let h(x) = -35*x. What is n(h(v))?\nAnswer: 105*v - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y**3 - 3*y**2 - 2*y + 1. Let q be p(-2). Let h be 2\/q - 68\/(-18). Suppose -5*j = -3*j + 6, h*j + 50 = 2*a. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 34 - 57. Let y = 33 + k. Differentiate p**4 + y + 8*p**4 + 67*p**2 - 67*p**2 wrt p.\nAnswer: 36*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1410\/39 - -4) + (-6)\/39. Let o = -10 + x. What is the least common multiple of o and 21?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 0. Let v be (-1 - (-2 - d)) + -2. Suppose -4*j = 4*p + 8, 5*j + 4 = -2*p - 6. Sort 1, v, p in ascending order.\nAnswer: p, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-47 - (-5 + -57)) + -31\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 133 = -91*r + 96*r, 0 = u - 2*r - 31. Which is the closest to -2\/5? (a) 2.6 (b) u (c) 2\/3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 - 8*o - 2260. Determine u(-57).\nAnswer: 1445","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 - 3*m - 28. What is x(9)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 32\/5, -3\/4, -5, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1\/9, -33 in decreasing order.\nAnswer: 1, -1\/9, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wt when two letters picked without replacement from {t: 1, d: 5, s: 9, w: 1}.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1198, -828, -154, 872, 2298, 4172, 6542?\nAnswer: 9456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 257 divide 7611826?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -852.4720521 to the nearest integer.\nAnswer: -852","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -12*j + 41. Determine v(1).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 22 + 2\/(-4)*-2. Let y be (-360)\/(-50)*(-30)\/(-9). Which is bigger: y or r?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1212238 and 1606?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -128 + 12*u - 2*u + 2*u + 128.\nAnswer: 12*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - 16\/(-10))*-400. Suppose -3*s + h = 2*s. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 3*g = -23, 3*w + g - 13 = 2*g. Suppose z - 17 = w. Let p = -87 + 125. What is the remainder when p is divided by z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 2*i - 37828, -4*i + 5*i = 3. Let q(y) = 18*y + 18917 - s. Let k(b) = 3*b**2 - b**2 - 5*b**2. Calculate k(q(h)).\nAnswer: -972*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 33573672 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*-1*(-8)\/12*-3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, o: 4}. Give prob of sequence ror.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -24, -20, -46, 4 in increasing order.\nAnswer: -46, -24, -20, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 73105 (base 15) in base 14?\nAnswer: 96cc2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 9*y - 22. Suppose -22*v = -38*v + 80. Calculate n(v).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-500)\/220 - ((-1745)\/(-660) + -3)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 48\/((-128)\/8)*(-4)\/6\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-23341)\/(-15103))\/(34\/(-4))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -142692, -142686, -142680, -142674?\nAnswer: -142668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 153127 greater than 152991?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 3*k - 36, 16 + 12 = 2*g + 4*k. Let n be 18\/3 - ((-2632)\/(-210) + -12)*10. What is the nearest to n in g, 0.5, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 3*c + 6 = 4*c, -c + 8 = -4*z. What is the nearest to -2 in 4\/9, z, -1\/7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 - 4*v**2 + 2*v - 5. Let c = 6 - 2. Let g be q(c). Solve -g + 0 = n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = 92*j - 619711 - 1550155. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 794?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of -j**8\/560 + j**7\/175 - j**5\/50 + j**4\/40 - 11*j**2. Solve p(c) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in -2\/3, 2\/449, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c = 5201*f - 5199*f + 62, 2*c + f + 12 = -4*f for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a year in months?\nAnswer: 174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 52.28 - 48.28. Let o = -10 + 10.1. Let a = -1 + 2. Sort o, -1, a, i in ascending order.\nAnswer: -1, o, a, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of 121*k**5\/20 + 352*k**4\/3 - 262*k**3\/3 + 24*k**2 - 32*k. Factor y(d).\nAnswer: (d + 12)*(11*d - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -83 + 80. Sort y, 23, 0, 5.\nAnswer: y, 0, 5, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 - 14. Let m be 3 - (-6)\/z*-2. Suppose 0 = 2*k - 5*o - 185, -4*o = 5*k - m*o - 545. List the prime factors of k.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*(-2)\/12*0. Suppose 2*f - 2*s - 48 = 0, q*f - 4*s + 14 = f. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 24490? (a) 2\/5 (b) 7\/4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 v when three letters picked without replacement from fkimvkfxmivkixi.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 166 - 113. Let a = -48 + i. Suppose 5 + 9*m**4 - a - 4*m**4 + 60*m**3 + 320*m + 240*m**2 = 0. Calculate m.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/(-54))\/((-10)\/(-18)). Let k(u) be the second derivative of a*u**4 - 4\/15*u**3 + 0*u**2 - 1\/50*u**5 + 0 + 8*u. Factor k(l).\nAnswer: -2*l*(l - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/7 (b) 0 (c) -0.005 (d) 4 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -235*i = 4*r - 234*i - 9209, 3*r + 3*i = 6900. What is the highest common divisor of r and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -92\/19575 and 91\/2353350.\nAnswer: 21180150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 + 7*w - 10. Let s be d(-8). Let x be (s\/(-6))\/(1\/3). Let t = 0.15 - -0.25. Which is the second smallest value? (a) -3\/5 (b) x (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8*b**2*h - 847609648*b**2 + 13303597*h**4 wrt h?\nAnswer: 8*b**2 + 53214388*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -301*u + 1. Let b be y(0). Let h be 2\/(1 - 9\/15). Suppose h*l + 15 = -4*j + 2*j, 12 = -5*j - 4*l. Solve b + j = -o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -61. Let a(i) = -i**2 + 1077*i - 671. Let g(w) = 4*a(w) - 44*x(w). Factor g(h).\nAnswer: -4*h*(h - 1077)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3540854?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 1122550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of 0*n + 0 + 0*n**5 + 3*n**2 + 1\/70*n**7 - 1\/8*n**4 + 0*n**3 + 0*n**6. What is the second derivative of x(m) wrt m?\nAnswer: 36*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l + 5*l + 39*b + 2253 = l + 2287, -15 = l - 2*b for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**13*l**11)\/(l\/(l*l**(-1\/5)*l)*l*(l*l*l**(4\/3)*l)\/l) assuming l is positive.\nAnswer: l**(307\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.09 - -0.21. Let j = -0.2 + n. Is -0.1 greater than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4033112 is divided by 62047.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*m - 475 - 13*m + 475.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0*c - c**3 + 5*c - 2*c**3 + c wrt c.\nAnswer: -18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 PM and 12:35 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 816342158.\nAnswer: 2, 31, 13166809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 10 - 34 = 0. Suppose 0 = q + 5*t + m, -3*q - 5*t - 56 = 26. Let z = q + 29. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -375 - 467*g**2 + 375 + 447*g**4 wrt g.\nAnswer: 10728*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -116.7?\nAnswer: 46.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 + 3*g - 7. Let t be o(-5). Suppose -t*c = -4*c + 37. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, i: 1, n: 3, u: 2, q: 3}. Give prob of sequence uu.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -36*x**2 - 7*x - 156. Let g(b) = 28*b. Give o(g(q)).\nAnswer: -28224*q**2 - 196*q - 156","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11389 + 32710. List the prime factors of n.\nAnswer: 3, 23, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -228048177*p**2 - 119557871.\nAnswer: -456096354*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86969.\nAnswer: 86969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 716 - 64 = 34*t for t.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 385202.\nAnswer: 2, 192601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2946)\/(-3480) - (-3)\/(-4) and -29\/7.\nAnswer: 1015","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - j = -2*j - 100, -5*l + j + 484 = 0. Suppose 0 = -5*t + t - l. Let d be 2*100*t*20. What is d rounded to the nearest 10000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - -2. Suppose 2*z + 33 = 3*p, r*p - 67 = 3*z - 8*z. Factor -13 + p + 3*q**2.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 6*h + 4. Let m be w(2). Suppose 3*n - m = s, 0 = 2*n - 3*s + s - 12. Let l = 361 - 361. Which is the nearest to l? (a) 3 (b) 0.05 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3672367.\nAnswer: 3672367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1448, -0.3, -1\/6, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*x**2 + x**2 + 5*x**2.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/((-8)\/((-20)\/5)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -19573 or -19574?\nAnswer: -19573","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -36058, 1, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -231 + 416. Suppose 9*p = 4*p + m. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -580688, -1160339, -1739992, -2319647?\nAnswer: -2899304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 4*n + 240, -3*s - 4*n = -103 - 77. Calculate the smallest common multiple of s and 105.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-21))\/(10\/(-35))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = -3*b - 15, 4*b = 5*q + 56 - 41 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 969 and 0.3?\nAnswer: 968.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 + 104*b - 1206. Let z be v(-110). Which is smaller: -548 or z?\nAnswer: -548","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -15731415, -31462811, -47194207, -62925603?\n\"Answer: -15731396*w - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-20 + 654 + -7)\/1. What is the highest common factor of s and 264?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 248091.88 to the nearest one hundred.\nAnswer: 248100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 84*g**2 - 3*g + 52. Let m be (3 - 40\/4) + 12. Is s(m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -y**3 + 160111505*y**2 - 3*y - 52299845 wrt y?\nAnswer: -6*y + 320223010","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*n + 19*n - d + 6 = 0, 22 = -n + d for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.7 + -2.3. Suppose -5*q + 4*u + 40 = -u, -2*u + 26 = 4*q. Which is the biggest value? (a) d (b) q (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -267, -8\/7, -83 in decreasing order.\nAnswer: -8\/7, -2, -83, -267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -0.5 (b) 2 (c) 1 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2*o + 2 = 0. Suppose -7*s + 5*s = -o. Suppose -4*j - 5*r + 19 + 10 = 0, -j = -4*r + 19. What is the greatest common divisor of s and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 157908240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -284, -296, -322, -368, -440, -544?\nAnswer: -686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of 7*c**5\/120 - c**4\/8 + 64*c**3\/3 - 126*c**2. Let x(i) be the first derivative of a(i). Calculate x(6).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 6*s - 46. Suppose -g + 0*g = 3*c - 49, 0 = -g - s*c + 39. What is the greatest common factor of g and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.3 in 2\/15, -19, 5, 8.6?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11022762 is divided by 37749?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + 4 - 3 + 0 - 5 + (1 - 4 + 1)*(5 - 2 - 2) + 3 + 0 - 2)*(0 + 2*c + 0) to l*c + a and give l.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -117, -544, -1255, -2250, -3529, -5092, -6939?\nAnswer: -9070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3958074 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*i + 48*i + 42*i)*(i - i**2 - i) + 3 + i + 2*i**3 - 5 + 1 - 3*i**2.\nAnswer: -94*i**3 - 3*i**2 + i - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 40*d**2*k**3 - 403*d**2 - 1122*k**3 + 45*k**2 wrt k?\nAnswer: 240*d**2 - 6732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 69? (a) -4 (b) 324 (c) 2\/9 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 326594795?\nAnswer: 5, 59, 1107101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 49\/147 + (5\/3 - 0). Let g(i) = -434*i**2 + 876*i**2 - 439*i**v. Let p(q) = -11*q**2. Determine g(p(a)).\nAnswer: 363*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6848 is divided by 3400.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 1 = -4*g + 3, 0 = 5*k - g - 22. Suppose k*r - 2*r - 2 = 2*y, -3*r - 5*y + 16 = 0. Solve -d = d + r for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33\/594*18*(-1)\/((-3)\/(-60)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150112 - 2583478 = -26*a. Suppose -54235 = -14*y + a. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that t**4 + 2557*t**3 - 3*t**2 - 7673*t - 5114 = 0.\nAnswer: -2557, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of -88*a**6 + 28*a**3\/3 - 3*a**2 - 413. Find the third derivative of y(p) wrt p.\nAnswer: -31680*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5 and 5117400.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 33 and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1894639a - 0?\nAnswer: -1894639a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 90\/(-30)*4\/3. Let s(w) = 3*w + 2. Let j(k) = k - 1. Give b*j(a) - 2*s(a).\nAnswer: -10*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 310676, -4?\nAnswer: 310676","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128 + 82 = -7*c. Let o = -12 + -43. Let i = c - o. Is 7 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/126 and 13\/227394.\nAnswer: 1591758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 68 and 4743.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 37050 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192147 is divided by 4140.\nAnswer: 1707","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3 and 2.33?\nAnswer: 5.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 144709 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 9, y: 7}. Give prob of picking 3 g and 1 y.\nAnswer: 21\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3786 + 3824. Solve -39 = x - u for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) -12 (c) 31 (d) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - 13?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 10*u = -50. Let p be ((-4)\/u)\/(65\/(-25)). Which is the biggest value? (a) -3 (b) p (c) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 841.2823 litres?\nAnswer: 841282.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24725 + -24707. Solve t*w - 27*w - 18 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.538144 nanometers to meters.\nAnswer: 0.000000001538144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l**2\/2 - 159*l - 324 = 0 for l.\nAnswer: -2, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2813192 - 2*r**2 + 3991*r - 582*r + 1335*r.\nAnswer: -2*(r - 1186)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2\/439, 5, -2 in increasing order.\nAnswer: -2, -1, 2\/439, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z**2 + 6*z + 2. Calculate the remainder when g(6) is divided by 57.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 v when three letters picked without replacement from {t: 2, j: 1, v: 5, e: 1}?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, -1204 in descending order.\nAnswer: 3, 2, -1204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 4*p - 10 - 10 = 0, p - 3 = 0. Let k be 0 + w\/18 + 2. Factor -2\/9 + k*z + 4\/9*z**2.\nAnswer: 2*(z + 1)*(2*z - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 4*l = -554, -3*d - 5*l = -480 - 79. Suppose -g = d - 181. Let r be 2\/(-9)*g*-3*11. Calculate the highest common factor of 2 and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 - (2 + 3) - -22.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*u + 3*i - 16, 3*u + i - 8 + 33 = 0 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 6 = -5*d - 13, 3*u - 4 = 2*d. Suppose -2*p = -p + 1. Suppose -n + r - 6 = 0, -2*n - 3*r = -2*r. What is the nearest to -1 in d, p, n?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + 23204012?\nAnswer: 23204015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -7560, -15110, -22640, -30150, -37640?\n\"Answer: 10*a**2 - 7580*a + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8502 - 8501.7. Let h be (-3)\/6*1*2. Let a = 4 - h. Sort -4, v, a.\nAnswer: -4, v, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 445250768 and 111312692.\nAnswer: 445250768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 547632 and 2196.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bplgg. What is prob of sequence ggb?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u. Suppose m + 3*h = 1, 4*h - 2*h - 8 = 3*m. Let k be (-1)\/(m + -2 + 3). Let s(c) = 6*c + 0 + 1 - k. Give o(s(l)).\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 519 - -1498. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/12 - (-25)\/(-20))*1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4*l + 4*l + 1 + 3*l - 47*l.\nAnswer: -36*l - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 540730213 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 3. Let q = z - -3. Let u = -1.9 + q. Which is bigger: -1\/6 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -99065, -198116, -297167?\n\"Answer: -99051*q - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 12*m**3 + m**2 - 2*m + 1. Suppose 3*l + 6 = 9. Let q be c(l). Suppose b + q = -2*b, -4*o + 2*b = -24. Sort 3, o, -1 in ascending order.\nAnswer: -1, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13770790 divided by 22.\nAnswer: 625945","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002476699717 rounded to 5 decimal places?\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1171 - 2*r**2 + 3*r**2 + 0*r**2 + 2*r**2.\nAnswer: 3*r**2 + 1171","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n and 1 m when four letters picked without replacement from {i: 2, e: 1, n: 4, m: 1, o: 2}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 + 6*f**2 + 4*f - 3. Give y(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -154 - -158. Solve -n*j = j - 10 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -84 + 82.3. Let a = n + 1.6999722. Round a to six decimal places.\nAnswer: -0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 392865468?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 2*n + 2*n)*(8 + 3 + 18)*(-2*n - 1 + 1).\nAnswer: -174*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-3))\/(38\/(-114)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(2\/15)\/o*(o**(-2\/15)*o)\/o*(o*o*o\/o**(-8)*o)\/o**(-2\/3) assuming o is positive.\nAnswer: o**(35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*(w\/(w**4*w))\/w*w))**(1\/33) assuming w is positive.\nAnswer: w**(4\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -61723 + 1?\nAnswer: -61722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 59656\/20 - 1\/(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i**2 + 134*i - 509. Suppose -7*m + 3*m = -1160. What is the remainder when m is divided by k(4)?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 4*g - 46 = 0, -23 - 20 = -4*o - 3*g. Let r(i) = i - o + 20 - 9. Let b(u) = 8*u + 9. Calculate -b(f) + 6*r(f).\nAnswer: -2*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6827514 or 6827515?\nAnswer: 6827514","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6384691876 to the power of 1\/2, to the nearest integer?\nAnswer: 79904","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 302 and 58?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -496\nAnswer: -5\/496","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x - 6. Let u(o) = 17*o - 62. Let y(v) = -6*v + 21. Let j(f) = 4*u(f) + 11*y(f). Let m(k) = 3*j(k) - 8*n(k). Differentiate m(q) wrt q.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 - 5*l**2 + 5*l + 1. Let f be h(4). Let r = 38 + -53. Let y = -16 - r. Is f bigger than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 - 1 - 6\/(-4). Let o = -39.5 - -40. Which is the nearest to t? (a) 4 (b) -1\/3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8167, -32779, -73791, -131197, -204991, -295167, -401719, -524641?\nAnswer: -663927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 12982*u**2. Let n(s) = -4*s**2. Give m(n(k)).\nAnswer: 207712*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1904 and 112?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**2\/3 - 256*r\/3 + 4096\/3.\nAnswer: 4*(r - 32)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*a**3 - 173 + 51 + 60 + 58.\nAnswer: -42*a**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -56628*o**2 - 104160*o wrt o?\nAnswer: -113256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 6 = -1. Suppose 2*r + 5*u + 1 = 8, -r = u - m. What is the third derivative of -r + 2 - 4*a**2 + a**5 + 4 wrt a?\nAnswer: 60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5966\/5 + 1196. Let l = -1 - -5. Do x and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/3 + 100*d\/3 - 94.\nAnswer: -2*(d - 47)*(d - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1506 + 1072. Let u = 433.99783 + a. Round u to four decimal places.\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -7016570, -14033126, -21049686, -28066250, -35082818, -42099390?\n\"Answer: -2*m**2 - 7016550*m - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + -14. Find the common denominator of 25\/3*6\/22 and 12\/q*574\/(-40).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 86381, 345978, 778803, 1384856, 2164137, 3116646?\n\"Answer: 86614*s**2 - 245*s + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(171) + sqrt(171) + 0 + -4 - (-4 + -1 + sqrt(171))**2) + (sqrt(171)\/(sqrt(27)\/sqrt(3)) - sqrt(19)) + sqrt(1539)*-2 + 4).\nAnswer: -392 + 36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3230.\nAnswer: 2, 5, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w + 13. What are the prime factors of v(-11)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-420)\/(-90)*(-9)\/(-231)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1288 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 1:20 AM?\nAnswer: 8:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 - 60*t + 6*t**2.\nAnswer: 6*t**2 - 60*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1210131132 - -2?\nAnswer: -1210131130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3937\/4 + -35731\/36. Find the common denominator of p and -29\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + 5 - -2 - (22 - 14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -648 or -790?\nAnswer: -648","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1 + 1)\/(-10) + 444\/20?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -13*u + 80. Let k = 5 - 3. What is the greatest common divisor of u and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 155502\/27*1 + (-28)\/12.\nAnswer: 3, 19, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 - -15. Suppose 0 = -p - 3*p - i. What is the units digit of (-1)\/((1 - 0)\/p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 11, v: 3}. Give prob of sequence gvg.\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73 is divided by 51.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -21, 36, 131, 264, 435?\n\"Answer: 19*t**2 - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 AM and 1:46 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of r**6\/480 - r**5\/15 + 2*r**4\/3 + 1396*r**2. Factor t(l).\nAnswer: l*(l - 8)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -35*t**3 - 11*t**2 - 23*t + 9. Suppose 4*y + 34 + 10 = 0. Let o(m) = 12*m**3 + 4*m**2 + 8*m - 3. Let f(s) = y*o(s) - 4*i(s). Is f(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -41134 + 223314?\nAnswer: 132130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9.5 and -4.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6162 and 227838.\nAnswer: 17999202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2*m**4 + 9*m. Let i(g) = 6*g**4 - 27*g. Let x(p) = -2*i(p) - 7*w(p). What is the second derivative of x(o) wrt o?\nAnswer: 24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 148 = 4*o - 0*m, 3*m = 2*o + 66. Suppose -5*p + 58 = 4*x, -2*p - 4*x = p - 38. Let j = p - o. What is the remainder when j is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -11600316.48 and -0.6.\nAnswer: -11600317.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*w - 22 + 17 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**2*i\/(i**(-1\/2)*i))**11 assuming i is positive.\nAnswer: i**(55\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 91? (a) 31 (b) 0.06 (c) 3\/5 (d) 9 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 99 + 81. Let x = v - -1015. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-28))**8 assuming c is positive.\nAnswer: c**(-216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1679 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/33 and 65\/2.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 70979 <= 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20374 and 976.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/6 + 11\/3. Suppose -4*v + 4 = 2*n, -v - 2 - 2 = -2*n. Which is bigger: m or n?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f**3 + 15*f**2 + 5*f - 6. Let s be w(8). Let u = s - -25. Let z be 5\/(25\/3) + 3\/u. Solve z = 2*h + 4 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 15*o**2 + 10*o + 24. Let k be n(-11). Let f = k + -205750\/119. Which is greater: -1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -6 and -2022662224?\nAnswer: 2022662218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6105\/32 - -190. Calculate the common denominator of 3\/11 and r.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 509057 divided by -22\nAnswer: -509057\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -27*s - 73. Determine p(-29).\nAnswer: 710","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-80))\/(45\/(-240)*36\/(-27)).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11948828*w**3 + 3103749*w wrt w?\nAnswer: 71692968*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*i**3 - 2*i**3 - 8*i**3 + 0*i**3 + 10 in the form f*i**2 + x + d*i + k*i**3 and give x.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -37.87 (b) -4 (c) 1.4 (d) 32\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 29*n + 11. Let k(m) = 28*m + 10. Give -6*d(r) + 7*k(r).\nAnswer: 22*r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 j when three letters picked without replacement from {s: 1, p: 2, j: 2, g: 4, l: 3}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 - n - 2. Let c be g(0). Let b be ((-36)\/(-15))\/(c\/(-10)). Let u be 6 + 1*(0 - 0). Calculate the greatest common factor of b and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, p: 2, w: 1, n: 3, a: 1, d: 1}. Give prob of sequence nn.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*q**4 - 2*q**2 - 2*q**3 - 6*q**4 + 3*q**2 + 2*q to i*q**2 + b + j*q + w*q**3 + f*q**4 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 392*j**2 + 143*j**2 + 154*j**2 + 260*j**2.\nAnswer: 949*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1740*j - 3473*j + 1659*j = 3478 for j.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((944\/(-68))\/2)\/((-786)\/(-6681)).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 491690?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -51102 - 205592\nAnswer: -256694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 1770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -478669*h**2 + 499647*h.\nAnswer: -957338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 206945 <= 1655549\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 0 = -2. Let c(f) = 56*f. Does 15 divide c(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 9 + 4*d**2 + 3 + 0 - 2*d**3 to b + g*d + z*d**3 + o*d**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 2 = 7. Suppose -a - 814 = -830. Solve 3*o = -l + a for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xg when two letters picked without replacement from {v: 4, k: 3, g: 6, r: 2, x: 3}.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*p + 76*p - 3 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 + 61)\/(-8) + 1547. Let s = i - 761. What are the prime factors of s?\nAnswer: 2, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 29*a - 161. Let r be b(6). Find the third derivative of -r*l**3 - 39*l**2 - 18*l**2 - 10*l**3 + 9*l**2 wrt l.\nAnswer: -138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-5)\/15)\/((-1)\/447) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15.7 + 16. Let n = 0.256 - 0.256. What is the nearest to -13 in 2\/9, g, 5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 905776 = 905779?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -6\/7, -5, 1\/3.\nAnswer: -5, -6\/7, 1\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-273)\/35 + 7)*(-1105)\/(-26). Let l = 3 + -2. Let o be l - 21\/8 - -2. What is the smallest value in -1, t, o?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17647 = -q + 3*p, p = -4*q + 66164 + 4424. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 4 = y, -4*y + 6*b - 3*b - 3 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152)*1*5 - 2*(-4*sqrt(152) + sqrt(152) - sqrt(152) - sqrt(152) - sqrt(152)))\/((1*sqrt(80)*-2)\/(sqrt(70)\/(sqrt(14)\/sqrt(2)))).\nAnswer: -17*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1106728 and 168?\nAnswer: 3320184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, 4, -212, -2 in decreasing order.\nAnswer: 4, 0, -2, -3, -212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aufw when four letters picked without replacement from ffwscucsawfacfacsasf.\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -56080963298167 - 5?\nAnswer: -56080963298172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-3\/10)\/s*s**(-3\/7))\/((s\/(s*s**6*s))\/(s\/(s\/s**(-1\/8)))) assuming s is positive.\nAnswer: s**(1441\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 0, 5, -1, 1 in descending order.\nAnswer: 5, 1, 0, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4746 - 5337?\nAnswer: -371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 57361674889 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108 - 90 + o**2 + o**2 - 2*o**2 - 3*o**2.\nAnswer: -3*o**2 + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 303 by 101.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1514 = -19*y + 1146. Solve 0 = -2*w + y - 130 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - -1. Suppose -3*z + c*y = 0, 2*y - 7*y = 0. Let g be ((-4)\/(-1))\/16*4. Which is bigger: g or z?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -0.2794.\nAnswer: 1.397","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nhnnnnhnqqnnnnnnqhn. Give prob of picking 2 q.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50) - sqrt(800)*-6)**2*5.\nAnswer: 156250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*o - 78*o - 84 = 24*o for o.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -153? (a) -2\/5 (b) 4\/3 (c) -6 (d) -23\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 2382 = 766. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 AM and 4:46 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 7, r: 12}. What is prob of sequence rvv?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 AM and 9:28 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - 71306710?\nAnswer: -71306704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that m**5 + 37*m**4 + 313*m**3 + 727*m**2 + 658*m + 208 = 0.\nAnswer: -26, -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*b**3 + 19*b**2 + 2*b - 6745 wrt b?\nAnswer: -9*b**2 + 38*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j**3 - 29 + 5*j**3 - 10*j**2 - 4*j**3 - 20*j + 0. Let x be 6\/6 - 130\/10. Is o(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(1*sqrt(405) + -3 + sqrt(405)*-1 + 5 + -5 + 4*sqrt(405)*-4 + 0))**2.\nAnswer: 3456*sqrt(5) + 414756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, -3\/2, -3220252.6 in decreasing order.\nAnswer: -3\/2, -2, -3, -3220252.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-5*(-2*(-1 + -4 + sqrt(242))*-1)**2.\nAnswer: -26700 + 11000*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j**2 + 0*j**2 + 0*j**2 + (0*j - j - 4*j)*(-j + 8*j + 5*j) to v*j + y + s*j**2 and give s.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*g**6 - 2*g**5 - 3*g**3 - 88*g**2 - 3*g - 5.\nAnswer: -240*g**3 - 120*g**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 443*h - 15988199000 = 132*h. What is h rounded to the nearest one hundred thousand?\nAnswer: 51400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l. Let t be s(6). Suppose -18 = -4*o + t. What is the greatest common factor of o and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-15))\/(-1) + -2 + 96\/10?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -152 in 288\/7, 0.2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9 or -53\/7?\nAnswer: -53\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nqi when three letters picked without replacement from {t: 2, q: 4, n: 2, f: 1, i: 1}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.655666 to 2 decimal places.\nAnswer: -6.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 17*b**2 + 2*b - 2. Let q(p) = 375*p**2 + 45*p - 45. Give 45*f(d) - 2*q(d).\nAnswer: 15*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(44)\/sqrt(36) + -4*(sqrt(11) + -2))**2.\nAnswer: -66*sqrt(11) + 2060\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (76674\/(-52))\/(1*15). Let t = 201\/2 + q. Put 0.6, -2\/7, t in ascending order.\nAnswer: -2\/7, 0.6, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 185011985 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 63 and 216.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 116204828 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 14*f - 2*f = 0, -11*s - 2*f + 17 + 36 - 239 = 0 for s.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -744 - 158*l + 744 + (4 - 2 - 3 + 4*l)*(-2 - 2 + 3).\nAnswer: -162*l + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 AM and 11:58 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11908446?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t = 16*t - 30. Let r(j) = -4*j + 5. Let i be r(t). Let n = i + 21. Put 3, 4, n in increasing order.\nAnswer: n, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66399706 to the power of 1\/3, to the nearest integer?\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of -o**6\/90 + o**4\/18 - o**2\/6 - 6*o - 4. Factor q(y).\nAnswer: -(y - 1)**2*(y + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.0095 and 3358.12204.\nAnswer: 3358.11254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 - 7*z + 1. Let v be t(-6). Let y(s) = 5*s - 14. What is the remainder when 60 is divided by y(v)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 - 18*r**2 + 23*r - 20. What is the remainder when z(17) is divided by 22?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1105?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 420?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1940.\nAnswer: 2, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - 520435?\nAnswer: -520431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 + 0 - 2)*(5*j - 5*j + 2*j) - 7 + j + 3 + 2)*(22*j - 10*j + 17*j + (3 - 3 + 2)*(-j - j + 0*j)) as t*j**2 + w*j + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 53*h + 48*h - 67*h - 2 + 2 + 2*h - 3*h + h + 0*h - 3*h + 0*h + 2*h + (0 - 2 + 4)*(-3*h - 3*h + 5*h) + 2*h - 3*h - h to u + z*h and give z.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, -23, 133 in descending order.\nAnswer: 133, -2, -5, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -c5973 (base 15) in base 9?\nAnswer: -1154360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 = 2*k + 107. Let i = k + 144. List the prime factors of i.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6121 + 1417 = -812*o + 5658 - 1430 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m + 0*m - 39095*m**3 + 37972*m**3.\nAnswer: -1123*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {g: 5, v: 3}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - 0*g - b + 16, 8 = 2*g + b. Solve 6 + 2 = -g*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -7*g + 3. Let h(w) = 7*w**2 + w - 2. Let m be h(g). Solve 4 = -2*x + m for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -122? (a) -1 (b) 3 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p - 4. Let b = 20 + -24. What is i(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of -u**4\/12 + 3*u**3\/2 + 4*u**2 - 14*u. Calculate the remainder when 153 is divided by k(6).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 182371271?\nAnswer: 6449, 28279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add 160621251 and -671352.\nAnswer: 159949899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1365786 and 414?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of -4909*w**4\/12 - 1719*w**2\/2 + 143*w. What is the first derivative of u(s) wrt s?\nAnswer: -9818*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187) - 4*sqrt(187)*-1)\/(-1*sqrt(704)) + 5)**2 + (sqrt(119) + (3*2*sqrt(119) - sqrt(119)))\/((sqrt(7)*3 - sqrt(7))*-4 - sqrt(7)).\nAnswer: -83*sqrt(17)\/12 + 2025\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1033987 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 5*n - 7*f, -9*n = -13*n - 3*f - 7 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x + 2 - 3 + 1.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 9:56 AM?\nAnswer: 3:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 60, 3, -10 in increasing order.\nAnswer: -10, 3, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (40*i + 35*i + 6*i - 19*i)*(-21*i - 39*i + i) in the form h + s*i**2 + j*i and give s.\nAnswer: -3658","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1254780 is divided by 2011.\nAnswer: 1927","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*v**2 - 91 - v**3 - 119 + 65 - 3*v**3 + 116*v - 23.\nAnswer: -4*(v - 3)*(v - 2)*(v + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -d**3*f + 360223*d**3 - 166292*d*f + 4*f wrt d.\nAnswer: -6*d*f + 2161338*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/45)*s**(-17))\/(s\/s**(2\/13)*s)**10 assuming s is positive.\nAnswer: s**(-20771\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -371 + 375 + -21 + 1 + 130?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39ca3 (base 13) to base 5.\nAnswer: 11420432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2739*j - 2760*j + 1092. What is the remainder when 1403 is divided by j?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27990881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.4 + 1.9. Let g be -1 - (-39)\/54*2. Let s = 8.7 - 9. What is the nearest to -1\/4 in o, s, g?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/1182 and ((-266)\/10 - (23 - 31))\/(198\/(-20))?\nAnswer: 13002","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q**5 + 3503*q**4 + 21055*q**3 - 151059*q**2 - 206920*q - 38300 = 0. Calculate q.\nAnswer: -383, -10, -1, -2\/9, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -5. Suppose 2*f = -0*f - 4. Sort f, k, -4 in ascending order.\nAnswer: -4, f, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4*6)\/(18\/(-192)). Calculate the highest common factor of n and 320.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -655 - -339. Let z = h - -318. Which is the smallest value? (a) -7 (b) z (c) 6\/7 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 10 - 10, -16 = -4*p + s. Suppose 13 = 4*q - p*q. Calculate the remainder when 51 is divided by q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -153416 (base 10) in base 15?\nAnswer: -306cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 2 - 8 = 0. Let j(w) = w**2 + 4*w - 8. Let z be j(-6). Is a not equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**3 + 30507*i**2.\nAnswer: -3*i**2*(i - 10169)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 4560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 2194272?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = -96 - 135. Suppose -3*c - 116 = -5*m, 2*m - c - 34 = -6*c. Calculate the greatest common factor of n and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (0 + 4)) + (-1251 - -1276)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1865*r + 1865*r + 5 + 6*r**4 - 2*r**2 - 8*r**4 + 20*r**4 + 0*r**4 + (2*r**3 + 1 - 1)*(-4*r + 0*r + 2*r) + 0*r**4 + 0*r**4 + 2*r**4 - 3 + 2*r**4 + 3.\nAnswer: 18*r**4 - 2*r**2 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 18*m + 110. Let p be z(-6). Let t(x) be the second derivative of -1\/2*x**4 + 2\/3*x**3 - 4*x + 0*x**p + 0. Find the second derivative of t(n) wrt n.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (2 + -5)) + -4 - -6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**3 - 2*y**3 + 3*y**3)*(4*y**2 - 4*y**2 + 2*y**2) - y**5 + 3*y**5 - 3*y**5 + (-2 - 1 + 1)*(3*y**5 + 2*y - 2*y).\nAnswer: -5*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37496012?\nAnswer: 2, 73, 128411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10413)\/(-135) - 4) + (2\/24)\/(225\/(-360))?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17 in 2\/5, -2\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2*c**2 + 278*c - 11156. Determine r(33).\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1\/7, 0.5, 3, 0.21 in decreasing order.\nAnswer: 3, 0.5, 0.21, -1\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5568, -4, 2\/7, -16?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rwh when three letters picked without replacement from hlhwphrhhp?\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.936994 meters in kilometers?\nAnswer: 0.003936994","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.2 + -0.1. Let z = -1 - -1. Let r = z + b. Which is greater: 2\/13 or r?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 495 and 1080.\nAnswer: 11880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104161 = -2487*g + 174383 for g.\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-171)\/36*(-8)\/2. Suppose a = 4*b + p - 6, -p = -b + 5. Find the second derivative of -4 + k**2 + 4 + b*k**2 + 4*k wrt k.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 34 = -2*u, s + 3*u + 19 = -s. Is (10\/16*-6)\/(s\/64) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 34150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2, -3, -14, -31, -54, -83, -118?\n\"Answer: -3*s**2 + 4*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -10\/587?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -832, 43, 2442, 7127, 14860, 26403, 42518, 63967?\nAnswer: 91512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31 - -31. Suppose w - 167 = -s. Let a = w - 100. What are the prime factors of a?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -235 (base 12) to base 3\nAnswer: -110012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -3*u - 3. Let d be 3*(-7 - u)\/(-2). Solve -26 = -5*v - d for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.6 - -0.4. Let l = y + -8. Let r = -6 + 3. Put r, l, 2 in decreasing order.\nAnswer: 2, l, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10476 and 540.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 2746?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + c = 39, -3*o + 52 = o + 5*c. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 30*m + 30 - 17. Solve -34*h + 8*h - 130 = m for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -82 - -34. Let c = g - -48.191. Let p = -0.109 - c. Sort 4, -6\/7, p.\nAnswer: -6\/7, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -17 + -1466?\nAnswer: -1505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 83\/70 - 15\/14. Let h = 73497 + -73497.5. What is the second biggest value in h, 4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -443.208116 rounded to 2 decimal places?\nAnswer: -443.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - n = -4317392, -4*m + 3569919 = -3*n + 115994. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7307228.8 rounded to the nearest 1000?\nAnswer: 7307000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 941 divided by 147?\nAnswer: 941\/147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*p**3 + 24*p**3 - 7*p**3 + 14*p**3.\nAnswer: 27*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*r + 3*r - 4*r + i - 32, -4*i - 390 = -58*r for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 6749475 - -279\nAnswer: 6749754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9156 and 109.\nAnswer: 9156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -34 >= -5525\/164?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*w**4 - 4*w**4 + 2*w**4 + (746 - 4902 - 132)*(-4*w**4 - 3*w**4 + 5*w**4) as k*w**3 + g + i*w**2 + n*w**4 + s*w and give n.\nAnswer: 8574","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2714628.\nAnswer: 2, 3, 7, 17, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3834151?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**2 - 6*b**2 + 8*b**2)*(-2*b - 2*b + 3*b) + 22*b - 22*b - b**3 - 2*b**2.\nAnswer: -4*b**3 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69802387794*d + 2*d**3 + 69802387794*d.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -169 - -171. Suppose -90 = -3*g + 2*z + 3*z, u*z + 31 = g. Solve -g = -14*x + 19*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5 + -10 - 477) + -8. Let x = k + 546. Calculate the remainder when 62 is divided by x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 37 - 34. Suppose -3*m + 5*o = u, o - 27 = -4*m - 8. Solve m*r - 10 = 10 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23593.\nAnswer: 23593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1a6 (base 16) to base 12\nAnswer: -2b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -131 - 32031322313?\nAnswer: -32031323110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 0, 2, 1136, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*b + q, 0 = 5*b - 193*q + 192*q + 1. Solve 27*n - 31*n + 28 = 4*l, b = -4*n + 3*l - 7 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 170 + 177 - 5*t + 156 - 514.\nAnswer: -5*t - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1401719 divided by -127429\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, 17, 50, 95?\nAnswer: 152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 51\/1 + 1\/1. Let j be p\/(-6)*(-9)\/6. Suppose 0 = 3*d - 17 - 22. Solve 4*o = -3*b + j, 0 = -4*b - b + 2*o - d for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -304 - -290. Calculate the remainder when 135 is divided by 4\/w + (-11280)\/(-280).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3\/4 + 26*m**2 + 861*m + 8820.\nAnswer: (m + 20)*(m + 42)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 1 = -2*x. Let p(v) = 4*v - 5*v + x*v + v**2. Let s(y) = -5*y**2 - 21*y + 1. What is 11*p(g) + 2*s(g)?\nAnswer: g**2 + 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 37\/5 of a litre?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/(-14)*14)\/(-4). Let q be (x + 7\/(-3))\/(3\/36). Which is greater: -39 or q?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.71461997 to one dp.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 43*b**2 - 4*b - 11. List the prime factors of y(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 - 11*o**2 + 66*o + 2. Let r(y) = -y**3 + 10*y**2 - 52*y - 2. Let n(j) = 6*r(j) + 5*w(j). Give n(8).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 673*a**4 + 42*a**3 + a**2 + a + 1651912?\nAnswer: 2692*a**3 + 126*a**2 + 2*a + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/1)\/((-5)\/10*6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -2\/531?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(76) + 1 + sqrt(76))*6 - sqrt(76)*-2*3 - 2*(sqrt(76)*-1 + 0))**2.\nAnswer: 2400*sqrt(19) + 152180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -613\/42 - -310\/21. Factor 3\/2 + z*k**2 + k.\nAnswer: (k + 3)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21142 by -1077.\nAnswer: -21142\/1077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*o - 2*z + 2, -5*o = 3*z - 28. Suppose 6 = 4*g - 3*g. Suppose -2*j - 10 + g = 0. Put o, 4, 2, j in decreasing order.\nAnswer: o, 4, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 520*n**4*u + 19*n**3*u - 8*n**3 - 15*n*u + 21606*n + 1 wrt n.\nAnswer: 6240*n**2*u + 114*n*u - 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 3*s - 255. Let t be v(85). Which is the nearest to t? (a) 3 (b) 0.3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 473 = -41. Let a = q - -415. Suppose 9*y - a - 116 = 0. What are the prime factors of y?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 1852\/266445?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -51831.8247 - -51774.8246986. Let z = r + 57. Round z to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -4*q**3 + 19*q**2 - 10*q + 72. Give x(6).\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.472 - 54382.815872.\nAnswer: -54385.287872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(9) + (sqrt(9) - sqrt(1296)*-4))*-5*-1)\/(3*sqrt(27) + sqrt(9)\/(sqrt(3) + sqrt(147))))**2.\nAnswer: 12000000\/5329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 + 19*j - 66. Determine v(-22).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of -3*w + 0 + 1\/3*w**3 + 0*w**2. Let v(t) = -4*t + 2*t + 6*t. Determine x(v(q)).\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - (3\/(-3))\/(4\/12). Solve -2*q + q + m = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1496)\/(-385))\/(8\/2*142\/(-1420))?\nAnswer: -68\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1897452379 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 11 = 5*y + 1, 7 = -4*j + 5*y for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = -5, 0 = -s + 3*x + 127 - 116 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**3 - 3107984*j**2 - 603716568000*j + 2414916000000.\nAnswer: -4*(j - 4)*(j + 388500)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/21, 0.1, 1596\/23, 3\/53, 5\/3, -4?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/264 and -25\/1934493.\nAnswer: 15475944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 9497?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 922000 and 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*h + 23 - 23 + (2 - 4 + 1)*(-h + 3*h + 0*h))*(3*h - 7*h + 0*h**2 - 3*h**2).\nAnswer: 21*h**3 + 28*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 36639?\nAnswer: 512946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wxx when three letters picked without replacement from nwnxnaxnnnaannwn.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 160*r. Let d(z) = 3*z**2. Give v(d(i)).\nAnswer: 480*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7996 is divided by 138.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.046998 and 0.30271095.\nAnswer: 0.34970895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (81 + -1)*(-25)\/(-20). Let h(z) = -2*z**3 - 4*z**2 - 3*z - 1. Let l be h(-3). Suppose l = 5*x - 99. What is the highest common divisor of x and w?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*z + 3*z + 9. Let n be 10\/14 + 2\/7. Let r(f) = -z*f - 3 - f**2 - n + 2. What is r(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 PM and 10:30 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1766 + -21205\/12. Let s = 123743\/12 + -10322. Find the common denominator of s and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ana when three letters picked without replacement from {a: 7, r: 1, n: 2}.\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000050248971 to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of -p**4\/4 + 39*p**2\/2 - 268*p - 502. What is the first derivative of r(g) wrt g?\nAnswer: -3*g**2 + 39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41.7 - -0.3155423\nAnswer: 42.0155423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 - (-25 - 9) - 28.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38485, 38496, 38511, 38530?\nAnswer: 38553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2322 + 211?\nAnswer: -2111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2. Let l = -12 + 14. Let d(t) = -59 + t**l + 59. Calculate k(d(g)).\nAnswer: g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u**2 + 16*u + 18. Let w be v(9). Solve w = 2*y + y - 4*p - 17, 2*y = 5*p + 23 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of -o**4\/12 + 13*o**2. Let n(d) be the first derivative of 4*d**2 - 5. Calculate n(c(r)).\nAnswer: -16*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 7781, 7779, 7777, 7775, 7773?\n\"Answer: -2*y + 7783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/1753 and 43\/10.\nAnswer: 17530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -8446296 divided by -4?\nAnswer: 2111574","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of v**6\/120 - 11*v**5\/30 - 19*v**4\/12 - 23*v**3\/6 - 24*v**2. What are the prime factors of k(24)?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i + 11. Let z be c(0). Suppose -2*h - 1 = -2*u - h, 0 = 3*u - 3*h + 3. Let f(d) = 8*d - z + 2*d**3 - 9*d**2 + d**3 + 19*d**2 - u*d**3. What is f(-9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 128 * 0.06\nAnswer: 7.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 AM and 12:05 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48878154.\nAnswer: 2, 3, 13, 23209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 3*t + 3*t - 10*t. What is the units digit of h(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24.66204 millilitres to litres.\nAnswer: 0.02466204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (230\/342 + 4\/38)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-41)\/4)\/(-1)*((-9456)\/2955)\/((-2)\/(-5))?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -817a2 - 121?\nAnswer: -81903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 + 21*s - 194. Let p be r(-28). Let h(a) be the second derivative of -1\/6*a**3 + 0*a**p + 0 + a. Let x(y) = -7*y**2. Determine x(h(j)).\nAnswer: -7*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g - 1. Let q(z) = -z**2 + z + 1. Let y(r) = l(r) + q(r). Let s(p) = 3 - 3 - 10863*p + 10859*p. Determine s(y(m)).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, u: 2, d: 3, j: 4}. Give prob of picking 2 j, 1 s, and 1 d.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 554.8 * 0.3.\nAnswer: 166.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*r, -3*d + 4*r + 16 = 2*d. Solve f - 5 + 6 = d for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(931) - -2*sqrt(931) - sqrt(931)) - (sqrt(931) - (sqrt(931) - (4 + -1*sqrt(931))) - sqrt(931)))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16625 + -16598. Solve 42*d - t*d = 15 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - f - 7, -3*x - 2*x + f = -15. Factor -27*j - 35*j**2 - 3 - 30*j**2 - 48*j**3 - 7*j**x.\nAnswer: -3*(j + 1)*(4*j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -406766 - -12?\nAnswer: -406754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -0*c. Suppose -y + 0 + 4 = c. What is the remainder when y is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 75 - 71. Let y(j) = 377 + 3*j + 3*j**2 - 377 - j**3. Let g be y(k). Which is greater: 1 or g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 2. Put 0.1, 2\/5, k in increasing order.\nAnswer: k, 0.1, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 86513\nAnswer: 4\/86513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 7:22 AM?\nAnswer: 11:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m = -17*m - 1568. Let f = m + 2910\/13. Put 1\/5, 4, f, -17 in decreasing order.\nAnswer: 4, 1\/5, f, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j**2 + 98*j + 1476. Let b be o(61). Let z(v) = 2*v**2 - 21*v + 15. Calculate z(b).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of -19*s**3\/6 + 42*s**2 - 4240*s. Calculate q(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 4483.6\nAnswer: -448.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 89133, 178342, 267551, 356760, 445969?\nAnswer: 535178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 24, 41, 78, 141, 236, 369, 546?\nAnswer: 773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1474 + 37605*p**3 + 1474.\nAnswer: 37605*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 55 - 51. Solve 2*u - l*p - 16 = 0, 2*u + 0*u + 4*p = -24 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10977 + 435 = -4*t. List the prime factors of t\/(-99) + (-4)\/(-22).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2204?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 39\/20 - 7\/4. Let f = 0.272 + 1.728. Sort q, f, -3, 3\/7 in descending order.\nAnswer: f, 3\/7, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 217*v**2 - v - 4. What is the tens digit of y(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 + 5*n**2 + 8*n - 7. Let l = 14 - 6. Let o = -2 + l. Determine d(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1136682 is divided by 165?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -90523.85 to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 339 is divided by 168.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + -2)\/(12 + (-1416)\/156 + -3).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.96 times 7.061?\nAnswer: -6.77856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*y**3 + 16*y**3 + 942*y - 942*y - 3*y**3.\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2\/2 - 20321*h\/2 - 940602.\nAnswer: -(h + 93)*(h + 20228)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00101 to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 69*u + 183\/4*u**2 - 35 + 5\/4*u**3 = 0.\nAnswer: -35, -2, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2181830 or 0?\nAnswer: 2181830","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 - j. Give m(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-32))\/(6\/(-24))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + 1 + 1*3. Suppose 8 = -2*o, 3*a + 5*o + 11 = -0. Solve d = a*d + w for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5208 + 5213. Let p(k) = -14*k + 7. Give p(z).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 plus -9295?\nAnswer: -9300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -7, 10.\nAnswer: -13, -7, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 + 9*t**2 + t + 2. Let i(d) = 8*d - 1. Let o be i(-1). Let x be v(o). Is -1*((-3 - -3) + x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 5*t + 80 = 0. Solve -t = -2*r - 2 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q*q**(1\/3)*q)**36*(q**0)**(24\/7))**48)**(23\/3) assuming q is positive.\nAnswer: q**44160","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 183456229?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + (-404 + 388 - (67 + 2)).\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 633120620 is divided by 125?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -187, -663, -1369, -2245, -3231, -4267?\n\"Answer: 10*z**3 - 175*z**2 - 21*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -33 - -40. Suppose o*y = -153 + 433. Suppose y = d + f, -4*d + 4*f + 167 = f. Is d a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 78\/4*8\/12. Suppose -d = 3*j - 1, h = 3*j + 67. Suppose -z + 6*z = h. Does 9 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19)*-2*5 - (sqrt(1216) + -1).\nAnswer: -18*sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24340 divided by 5.\nAnswer: 4868","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 9:26 AM?\nAnswer: 8:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = o. Let z be (-5 - o)\/(3 + -2). Let r be (68\/z)\/(3\/(-15)). Calculate the greatest common divisor of 17 and r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i**2 + 5\/3*i**3 + 0 - 14\/3*i = 0. What is i?\nAnswer: -14\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of u**8\/5040 - u**6\/144 - u**5\/20 + 2*u**2. Let w(j) be the third derivative of x(j). Differentiate w(i) with respect to i.\nAnswer: 8*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(-5) - 48\/(-20). Let t(g) = -4*g**2 - 3*g**2 + a*g**2. Let n(b) = -5*b + 4. Let j(o) = -6*o + 5. Let d(w) = -4*j(w) + 5*n(w). What is t(d(h))?\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xauzxuoxzaozxuua. What is prob of sequence uox?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 0.3048 (c) 14\/9 (d) 3\/4 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11178344.25 rounded to the nearest one million?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3142, 12593, 28334, 50359, 78662, 113237, 154078?\nAnswer: 201179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 b, and 2 p when four letters picked without replacement from bopbpoeoeoeepoppop?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 4, 15370 in descending order.\nAnswer: 15370, 4, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 14.374*-0.489\nAnswer: -7.028886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-77)\/(-4))\/(-7)*(-72)\/18?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 76*-0.1\nAnswer: -7.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11438\/129)\/(-38)*1971\/(-63).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -306209, -1224936, -2756179, -4899938, -7656213, -11025004, -15006311?\n\"Answer: -306258*g**2 + 47*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 79 and 2881?\nAnswer: 227599","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9815*w + 1450 = -9865*w for w.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -334*i - 138. Suppose 75 = -87*b + 72*b. What is the units digit of d(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 3*r - 6 = 0, 0 = -l + 4*r - 10. Suppose -3*q = -l*q - 2. Suppose -q*a + 9 = a. Solve 2*x + 2*x = -a*c - 19, 0 = -5*x - 5 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of r**3\/3 - 5*r**2\/2 - 3*r + 12. Determine s(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1482952 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 + 95*w**2 - 324*w - 12635. Determine c(-97).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -5*h + 61. Let z be a(25). Let t = -57 - z. Factor t*b**4 - b**2 - 4*b**2 - 3*b**4 + b**2 + 2*b - 2*b**5.\nAnswer: -2*b*(b - 1)**3*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29 (base 12) to base 14\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u + 34. Suppose 0 = 5*w + 5*d - 25, -w - 3*d + 29 = 4*w. Let t(o) = 3 - 2*o + w - 10. Give s(t(i)).\nAnswer: 2*i + 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*x - 171 = -61*x. Solve -2*q = 3*b + x, -3*b + 2*b - 9 = 2*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011 - 101?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 45 + -10. Let d = u + -39. What is the tens digit of (-1270)\/(-45) - d\/(-18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 12758?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 PM and 2:37 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5773371?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(245) + -3)*-1 + sqrt(245) - (-3 + sqrt(245) + -2 + sqrt(245)))*4)**2*5 + -4)*3.\nAnswer: -53760*sqrt(5) + 250548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1236302607?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/3)\/((-17)\/(-17))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of -q**4\/12 + q**2 - 4*q. Differentiate m(y) wrt y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*y - 132*y + 41*y + 34*y + 16*y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-271)\/((-58536)\/(-810))*4\/(-1170)*3?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 610320 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 11*d. Let q(t) = 3*t**2 - 4. Let a(f) = -6*f**2 + 9. Let k(s) = 4*a(s) + 9*q(s). What is c(k(l))?\nAnswer: 33*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.144 - 0.044. Sort -13, -1, p in descending order.\nAnswer: p, -1, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-3)\/(6\/256*-4) and 20.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)\/sqrt(4))\/sqrt(9) + 0.\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 3*v**3 + 8*v**2 + 5*v + 5. Give x(-3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11186\/3 - -3728. Which is the second biggest value? (a) 1\/7 (b) n (c) -0.27 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 405*y - 94*y**3 - 405*y + 92*y**3.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 2573*z**3 + 693*z**3 + 2264*z**3 + (z + 2*z - 2*z)*(-2 + 2 - 2*z**2) as j + l*z**2 + y*z + s*z**3 and give s.\nAnswer: 5528","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2c3193 (base 15) in base 13?\nAnswer: 59a756","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 - 9. Suppose 3*v + o - 84 = -0*o, -d*v + 112 = -2*o. Is v a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/9)*k**0*k)**46 assuming k is positive.\nAnswer: k**(506\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 - 78 = -3*b. Let q = -3 + 11. What is the remainder when b is divided by q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/(-24)*2\/(-4). Let j(o) be the first derivative of a*o**2 + 1\/12*o**3 + 0*o - 2. Find s such that j(s) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1593?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-166)\/(-1494))\/(1\/(-51)*(-16)\/16)\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101101010010011 + -11010001101?\nAnswer: 101010000000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 844*t + 798*t**2 + 791*t**2 + 797*t**2 - 3185*t**2 + 797*t**2.\nAnswer: -2*t**2 + 844*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 7) to base 8.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 + 14. Suppose -y*s + q + 6 = 0, 9 = 2*s - 3*q + 1. Let i be -2*(15\/2)\/(-5). Which is smaller: s or i?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7920 and 3590640?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -36*z. Let c(i) be the third derivative of 7\/24*i**4 - 33*i + 0*i**3 + 0 - i**2. What is 14*c(y) + 3*f(y)?\nAnswer: -10*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*i - 2*i + 1892 = 0. Differentiate -330*s**2 + 2*s - i - 3*s + 114*s**2 + s wrt s.\nAnswer: -432*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 373, 0.109218, -5 in increasing order.\nAnswer: -5, 0.109218, 373","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -250*v + 511 = -177*v for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**(-3\/4)*t))\/(t\/(t*((t*t**(-1\/3))\/t)\/t)))\/(t**0\/(t*t**4))*(t**1*t*t**(1\/7))**(-38) assuming t is positive.\nAnswer: t**(-6469\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.03661? (a) 1\/4 (b) 1\/2 (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/60*5*4\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2 + 4*t**2 - 3*t**2 + 3 - 6. Let x be n(1). Let l(y) = -y**3 + y**2 + 32. Calculate the remainder when l(x) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3722820999 - 81.3\nAnswer: -3722821080.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/841392 and 85\/108.\nAnswer: 2524176","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let m = -6206\/9 - -692. Calculate the common denominator of 67\/6 and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6 - -10404?\nAnswer: 103cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/4 and 61\/56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 685231 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -8*j**2 + 311*j + 7248. Give p(-16).\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - y + 1340. Suppose -286*r + 290*r = -2*b - 24, -5*r - 45 = 4*b. What is the smallest value in y, r, 0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -45*b**4 - 15*b**3 + 505*b**2 + 975*b + 500 = 0?\nAnswer: -5\/3, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cyjjjcigyjjyc. What is prob of sequence gi?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - (-63 - 20)) + 24?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -164, 1829, 24 in increasing order.\nAnswer: -164, 24, 1829","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*((0\/2)\/(-2))\/(-1). Suppose -8 = -2*c, n*q - 3*c = 3*q - 18. Solve 2*r + p = q - 1, 4*r = -4*p + 12 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 915?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**4 - 34*i**3 + 128*i**2 - 96*i = 0. What is i?\nAnswer: 0, 1, 4, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/16 - (-70)\/8. Suppose j*a = 4*a - 3*d + 62, 4*a - 5*d = 20. Is a\/(-65) - (-1044)\/26 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**0\/d*d)\/d)**(-11)\/(d*(d*d**(1\/4))\/d)**(-33))\/((d\/((d**(-2\/11)*d)\/d)*d\/(d\/(d**(-2\/7)*d)))\/(d**0\/(d*d**6))) assuming d is positive.\nAnswer: d**(13353\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 PM and 12:29 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -97a + 13b4?\nAnswer: 939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -563, -2293, -5167, -9179, -14323, -20593, -27983, -36487?\nAnswer: -46099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w\/(w*w*w\/w**(13\/2)*w)*w*w**2*(w*w**(-4)*w)**(-35) assuming w is positive.\nAnswer: w**(155\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 2:39 PM?\nAnswer: 7:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of 14 + 45\/2*k**2 + 1\/3*k**3 - 29\/4*k**4 + 0*k. Find the second derivative of t(v) wrt v.\nAnswer: -174*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 5*u**3 - 2*u**2 - 5*u - 4. Let n(x) = x + 1. Calculate g(f) + 5*n(f).\nAnswer: 5*f**3 - 2*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1363*s + 450 = 1368*s. Calculate the smallest common multiple of 330 and s.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - (3 - -5)) + 10 + -1?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -1)\/(-2 + 81\/45)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 5423154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25\/375 + ((-3)\/18)\/(195\/138)?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -22\/37 and -87\/148.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 2)*(-a + 2*a + 0*a) + (0 + 0 - 2)*(43*a + 55*a - 23*a).\nAnswer: -151*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115 is divided by 39.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-302 + -1)*(-70)\/35.\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.038868659 times -4\nAnswer: 0.155474636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4566*l + 9 = -2*u - 4565*l, -6 = -u - 3*l for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (11 + 0)*(0 - -1). Suppose 0 = -5*l - j + 26. Suppose -111 = -0*t - l*t. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -v + 3, 4*v - 5*v - 9 = -4*n. Let y = 110 + -104. Suppose -y*f - n + 8 = 0. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 5*q = 15, 2*q = 2*f - 140 + 120. Solve 0 = -5*o - f*w + 40, -5*o - 4*w + 22 + 15 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -4*p**2 + 210*p**3 + 13 - 8*p + 7*p**2 - 209*p**3. Let y be m(-5). Solve -2 = -5*x - 2*z, y*x = -5*z - 13 - 1 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - -2. Let l = -6 + r. Let q(d) be the first derivative of -d**4\/4 - d**3 - d**2 + 2*d - 110. Determine q(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -98 - -103. Let n = 0.8 - -2.2. Let p = -0.69 - -1.19. What is the third biggest value in p, n, m?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/(-1) + (-3 + -1 - -4). Suppose f + 0*f - w = 0. Solve -5*p + 3*z - f = -z, 0 = -p - 5*z - 2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 342 and 306.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 3*f**2 - 12*f - 1. Let z be q(5). Suppose 4 + z = 2*u. Suppose 0 = u*h - 151 - 389. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**2)**(-27)\/(j\/j**0)**(-15))\/(((j\/j**(1\/4))\/j*j)**15*(j**(6\/7)*j)\/(j\/(j\/(j\/(j\/j**(-1\/12)))))) assuming j is positive.\nAnswer: j**(-1096\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1145093 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 2 o when four letters picked without replacement from jojllojlojooo?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 1408749 = 5*n, 29*g = -4*n + 26*g + 1127000. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 3*u = -1 - 38, -4*h = 5*u - 73. Is h a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*w + 2 - 6*w + 4*w + (-2 + 4 - 1)*(w + 1 - 1) - 2*w + 0*w + 3*w.\nAnswer: 6*w + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6054.12 + 6068. Round c to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 4*j**2. Let o(d) be the third derivative of -d**4\/6 - 32*d**2. Calculate a(o(i)).\nAnswer: 64*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 216\/(-135)*(-8)\/(-16). Which is the smallest value? (a) -182 (b) -2\/5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of -g**3\/6 + 2*g**2 - 587*g + 2. Let s(w) = -w**3 + 6*w**2 + 5*w + 9. Suppose j + 4*j = 35. Let c be s(j). Give h(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 2) to base 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 490 is divided by 74.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1750577 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 7100 = 22*l. Let y = 119 - l. Which is smaller: y or 404?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28657 is divided by 4568?\nAnswer: 1249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.03? (a) -18 (b) 4 (c) 1\/32 (d) -6 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 10*i**3 - 11*i**2 + 16*i - 10. Let q(f) = -2*f**3 + 2*f**2 - 3*f + 2. What is -11*q(z) - 2*w(z)?\nAnswer: 2*z**3 + z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -722 - -12007. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (4 - (5 - 7 - -9)) - (63 + -62)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1248 divided by -12?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 270 - 3504\/13. Suppose -4 = -2*d + v, -4*d + 5*v - 4 = -6*d. Suppose -4*c + 7 = -5*m, 0 = d*m - 4*m + 2. What is the third biggest value in c, o, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24\/77 + 4894\/385. Let r be (-1919)\/(-198) - (-3)\/18. Let o = -172\/11 + r. What is the common denominator of o and k?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -5*m - 40. Let v be d(-9). Suppose -20*g + 30 = -v*g. List the prime factors of (g\/(-3))\/((-18)\/6453).\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 3 (b) -5 (c) -2906 (d) -1 (e) 4 (f) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n**2 - 1633*n - 50799. Determine j(-30).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, -1\/11, 4, 1\/4 in decreasing order.\nAnswer: 4, 1\/4, -1\/11, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of -o**4\/4 - 2*o**3\/3 - o**2 + 7*o - 2. Suppose 2*q + 2 + 0 = -s, -4*s - 22 = q. Is b(s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, 7, -1407, -2.\nAnswer: -1407, -32, -2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -7. Let k = 2 + 1. What is the second derivative of k*b + 6*b**2 - 6*b - q*b + b wrt b?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -34\/2119335 and 49\/135.\nAnswer: 19074015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -39 + 57. Suppose 33 + n = 3*r. Calculate the greatest common factor of 612 and r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1285, -1059, -653, -43, 795?\n\"Answer: 4*a**3 + 66*a**2 - 1355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 19*p + 76 = 16*p, 5*z - 96 = 4*p. Suppose -2*t + 2*h = -3896, 12*h - z*h - 1957 = -t. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 - 5\/(15\/(-18)). Suppose a + 3*b - k = 0, -a - 3*b = 2*b - 5. Calculate the lowest common multiple of 22 and a.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 13554541?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -11 (b) 74 (c) -1565\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 76 - 77. What is the nearest to w in 1, -1\/4, -0.1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of 10779*h**5\/5 + 3752*h - 12991. Differentiate z(a) wrt a.\nAnswer: 43116*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x**2. Let s(y) = -8964*y**2 - 9*y - 18. Let r(n) = -2238*n**2 - 2*n - 4. Let a(m) = 9*r(m) - 2*s(m). Calculate a(d(h)).\nAnswer: -8856*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -48 - -29. Let m = a + 22. Suppose 0 = m*h - 2*c + 6, 5*h - 3*c + 2*c = -3. Is h bigger than 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 46455691?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4962, -4959, -4956?\nAnswer: -4953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/3*1\/(-4). Let k = -4.27 + 3.77. Which is the second smallest value? (a) k (b) y (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 59. Suppose 0 = 2*a - 31 + 107. Let q = s + a. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 1000326*a**2. Let w(m) = 4*m. Determine w(d(x)).\nAnswer: 4001304*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 + 8 = -4*f. Let w be 1910\/(-573)*9\/(-2). Solve f*c + w = -0*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 159932519 to the nearest integer?\nAnswer: 12646","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of -u**2 - 15. Let z(k) = -9*k**2. Give b(z(h)).\nAnswer: 18*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2282 (base 16) to base 2\nAnswer: -10001010000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 104009 rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*o + 20*o - 11*o - 2*o**2 - 4 as n + p*o + u*o**2 and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 33, -0.16, -11\/8, 2\/13, -5, 3, -2\/13?\nAnswer: -11\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 3*n - 52 = n, 3*d - n = 37. Calculate the remainder when (50\/(-3))\/((-4)\/d) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 + 8*d**2 + 12*d + 7. Suppose -c - 30 = -6*c. What is the smallest common multiple of h(-5) and c?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -13*z. Determine w(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_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: Divide 30 by 16.\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 11*x**3 - x**2 + x + 1. Let q be g(1). Let h be 338\/q + (-18)\/108. What is the greatest common factor of 28 and h?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 - -0.01?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*o**4 - 21*o**3 - 21*o**2 + 9*o.\nAnswer: 3*o*(o - 3)*(o + 1)*(3*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01 to three decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-5))\/(11049\/(-353568)).\nAnswer: 64\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -23461072, -46922161, -70383250, -93844339, -117305428, -140766517?\n\"Answer: -23461089*n + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a centimeter in micrometers?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = 3*q + 21, 0*q - 2*q + 9 = -5*l for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5070 is divided by 92?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 3452.89.\nAnswer: 3456.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -27*i + 13. Let c(g) = -28*g + 15. What is -6*c(b) + 7*x(b)?\nAnswer: -21*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 118402 and 1325.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 13 + -1?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 271300 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 212137082771 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (24 + (-5808)\/32)*(-364)\/5?\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 13*g**2 + g + 6. Let i be p(0). Sort 0, i, -6, -4 in decreasing order.\nAnswer: i, 0, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1564\/(-115)*(-35)\/(-28).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -167\/4932444 and -139\/6.\nAnswer: 4932444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7152969 or -7152971?\nAnswer: -7152971","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 8) to base 15\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*a - 4 - 4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 6. Let g(d) = -d**2 + 3*d. Let r be g(t). What is the remainder when (-38)\/(1*(-1 - r)) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 120 (b) 0.3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 38, 864, -8, 3, -5 in ascending order.\nAnswer: -8, -5, 3, 38, 864","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 261\/4 - ((-2)\/(-8) + 0). Let f = -107 - -45. Let v = w + f. Solve 36 = 4*b + 4*o, 2*b + v*o - 17 = b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1056351 = 1056356?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 144821919?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 73*f**3*t**2 + 2*f**3*t + 9128*f**3 - 50*f**2*t**2 - 4*f**2 - f*t**2 - 8*f*t - 8*f + 27*t**2 wrt t?\nAnswer: 146*f**3 - 100*f**2 - 2*f + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*i - 88*i = -8. What is the closest to 0 in -0.5, -2\/5, i?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2408.99152 - -2409. Round g to 3 dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14625?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*s**2 + 2 + 26 + 10*s**2 - 2*s**2 - 2*s - s**2 to the form t*s + u*s**2 + z and give z.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 50? (a) -0.4 (b) 2 (c) 8.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*o - 1037 + 8 = -9*o. Calculate the remainder when 107 is divided by o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b**3 + 100*b**2 + 272*b + 176 = 0 for b.\nAnswer: -22, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -52.0747 to the nearest integer.\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (15 + -12)) + -5 + -1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*l + 2*l - 18. Suppose 0 = -0*g + 3*g - l. Suppose g*j - 4*j = 0. Solve j*y + 3 = -y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 89241*i**5 + 2*i**2 + 2*i + 1787.\nAnswer: 5354460*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 6) + 1 + 15 + -1 - -7?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272) + ((3*sqrt(272)*-2)**2 - sqrt(272)) + 1 + (1 + sqrt(272))*-6 + 5 + 2)*2 + 3.\nAnswer: -48*sqrt(17) + 19591","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 153109?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 6*s = -3*n + 6, -5*n = -4*s - 10. Let i = 13\/6 - 23\/12. Put n, i, 3\/4, -10 in decreasing order.\nAnswer: n, 3\/4, i, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7487.814 millilitres?\nAnswer: 7.487814","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -31955 and -12.2.\nAnswer: 389851","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-11)\/((-33)\/(-18)))\/(-1). Suppose g*d = 266 - 242. Solve -1 = x - 3*l - d, 2*l - 2 = 2*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a day in minutes?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 3, -4*p + l = -574 - 389. Let m = p - 242. Are m and -2\/147 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 + 6*w**2 - 5*w - 6. Let s(a) = 7*a - 6*a + 4 + 2. Let n be s(-4). Let b be 7\/1 - 4\/n. What is p(b)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11.1 - 11.4. Let u = 80 - 80. Which is the second biggest value? (a) 5 (b) 8 (c) u (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 4*u**2 - 2*u - 3. Let h be d(-2). Suppose 0 = -5*p + 47 - h. Suppose 2*x - 2 - p = 0. Let q(j) = -j**2 + 3*j - 3. Give q(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h + 817 = 789 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 AM and 3:44 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a hour in minutes?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 200 = 2*i - 191, 400 = 2*i + 4*x. Suppose -5*d + 3*l + i = -634, -d + 188 = 5*l. Suppose -s - d = -7*s. Solve -5*q - s = -8 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130733322581 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 583*b + 289*b + 1114*b - 224*b in the form g*b + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -6*p**3 - p**2 + 2*p - 1. Let n(u) = 35*u**3 + 3*u**2 - 4*u + 16. Let x(g) = -2*i(g) - n(g). Let c(w) = -8*w**3 - 5. Calculate 17*c(y) - 6*x(y).\nAnswer: 2*y**3 + 6*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 3. Let p(i) = i**3 + 6*i**2 + 2. Let n be p(-6). Suppose 0 = -3*x - 5*s + 23, -2 + 0 = n*x - s. Solve -q + 2*j + 1 + x = t, -3*j - 5 = -q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of -14*m**2 + 1\/12*m**5 + 1\/6*m**4 + 0*m + 0 + 5\/3*m**3. Is t(11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 469 a factor of 16578681?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28 - -43) + (13 - 47) - (-1 - -1).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*j + 100 - 107 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 8:44 AM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/14007 and 34\/17139.\nAnswer: 2759379","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p - 2*p + 3*p + (-52*p - 49*p - 6*p)*(112 - 30 + 86) to the form n*p + x and give n.\nAnswer: -17974","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1073 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 23508\/(-81) - 5\/(10\/4). Let q = a + 292. What is the nearest to q in 8\/11, -4, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + -14 + 72 + -49?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 98\/(-14) - 75666\/(-9459) - 1. Is g at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence re when two letters picked without replacement from eeqruuuueue?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-208)\/(-260))\/((-2)\/5)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*1*(1*(4 + 2 + sqrt(1088))**2 - (3*(sqrt(1088)*-2 - sqrt(1088)) + 1)**2)*5.\nAnswer: -870050 + 2400*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1541, 11750, 39441, 93356, 182237, 314826, 499865?\n\"Answer: 1457*h**3 - h**2 + 13*h + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 5672*i - 90734. Give a(16).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 79750 and 92510?\nAnswer: 3190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15763 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -487*i + 70610. Give q(145).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 155980777 divided by -8807?\nAnswer: -17711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -4 - (-8)\/4*40?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -666*u - 32994 = -7686 for u.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {c: 16, w: 4}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 10 = -3*t - 5*i, -3*t + 2*i = 1. Let y(j) = 6*j**3 + 2*j**2 - 2*j. Let l be y(t). Let v be ((l - 3) + -3)\/2. Solve -12 = 3*d - v*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of 5*a**4\/12 + 30*a**3 - 185*a**2\/2 - 2*a - 549. Factor t(y).\nAnswer: 5*(y - 1)*(y + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 10853*q - 780. List the prime factors of t(4).\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2331?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2004)\/5344*3248\/42?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1899000.\nAnswer: 2, 3, 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25\/(-50))\/((2128\/(-32))\/(-7))?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6123.3 micrograms to tonnes.\nAnswer: 0.0000000061233","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1506 and -0.11.\nAnswer: 0.0406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 64995 by -7.\nAnswer: -9285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3*z + 2 - 2)*(3*z + 0*z - 4*z) - 35*z - 13*z**2 + 35*z)*(-z**2 + 0*z**2 - 2 + 1) as r*z**2 + f + j*z**4 + b*z**3 + k*z and give j.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1400 less than 60204\/43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b + 9. Let o(g) = 5 - 3*g + 4*g + 6*g - 2*g - 4*g. Determine -3*k(m) + 5*o(m).\nAnswer: -m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -8*(-29*1\/(-4) - 5). What is the remainder when 1\/(2\/72 - 0\/q) is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 2*k = -6954, -7*l + 9176 = 5*k - 3036. What is the thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 73 + 21 + -65 + 52.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*n + 29. What is the greatest common divisor of 48 and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 885 by 5.\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert a67873 (base 13) to base 4.\nAnswer: 32320123001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-8)\/24)\/((-1)\/(-3)). Let w be -2 + g + (-1089)\/15. Let t = w - -76. What is the nearest to -1 in t, -5, 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 262*n - 265*n + 25 = 2*h, -3*n = 5*h - 40 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = -2*c + 56, -4*c - 7 = 4*l - 71 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 271\/205?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -1303*u - 2. Let a(z) = -2*z**2. Give a(p(h)).\nAnswer: -3395618*h**2 - 10424*h - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of -3*g**4\/4 + 5*g**3\/6 - 13*g. Let q(b) be the second derivative of -5*b**4\/12 + b**3\/2 - 6*b. Determine -5*q(y) + 3*t(y).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22398 = 2*n + 4*x, -7*x + 22395 = 2*n - 6*x. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 322*t - 245*t = -144*t - 5304 for t.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4068.9 and -18961866.7.\nAnswer: -18965935.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1352 + -675.4. Let y = t - 677. Put y, 2, -0.2, 3\/4 in decreasing order.\nAnswer: 2, 3\/4, -0.2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -103 + 114. Suppose 0*w + 5 = w. Solve h - q = 3*u - 0, 0 = w*u + 20 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -3 (c) -9 (d) 12\/53 (e) -60\/17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 2 r when four letters picked without replacement from rhrrhrrrrrrrrrrrrh.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n**2 + 315 - 315.\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95 is divided by 33?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 1556*q**3 + 15*q**2 - 29*q + 11. Is 14 a factor of t(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, 12, 3 in decreasing order.\nAnswer: 12, 3, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.064+-42075578.76\nAnswer: -42075578.824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002310435847 rounded to seven dps?\nAnswer: 0.000231","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-264)\/(-3740))\/((-21)\/(-35)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -28492857\nAnswer: 8547857.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1921567 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5*((-82)\/10 - -3). Let l = z - -33. Calculate the least common multiple of 11 and l.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kbq when three letters picked without replacement from qkqkqcqbqkckqbqkqcqq.\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 832 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 461 + 159*p**3 - 396*p**3 - 461 + (-17 + 17 + p)*(-2 - p**2 + 2) + 2*p**3 - p**3 + p**3 in the form d*p + c*p**2 + z*p**3 + u and give z.\nAnswer: -236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1926226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((-2*sqrt(80) - sqrt(80)) + 1)**2 + sqrt(80).\nAnswer: -20*sqrt(5) + 721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 339191101 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -21.9184794 from 0.39.\nAnswer: 22.3084794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u - 1. Let w be c(5). Let v = 11 + w. Let z(r) = r**3 + 58. Is z(v) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 + 3*f + 3. Let u be h(3). Suppose -u*w - 11 = -41. What is the least common multiple of 7 and w?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5649, -22686, -51081, -90828, -141921, -204354, -278121, -363216?\n\"Answer: p**3 - 5685*p**2 + 11*p + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30747 + 89*m**3 + 30747)*(1 - 1 + 4*m**2).\nAnswer: 356*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 27 = 35 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**2\/4 + 11883*d\/4 - 11877\/2.\nAnswer: -3*(d - 3959)*(d - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 100101011011001 (base 2) to base 16\nAnswer: 4ad9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1052713518?\nAnswer: 2, 3, 59, 2973767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 55 = -3*d, -4*v = 5*d - 149 - 16. Let b = v + 31. Suppose 0 = 4*y - i - 57, -i - b = -5*y + 2*i. Does 11 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47852569 to the power of 1\/2, to the nearest integer?\nAnswer: 6918","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 56516 and 2556?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 8*x**2 + 10*x - 9. Let g = -3 + 4. Let h(b) = b**2 - b + g - b**2 - b**2. Give -2*c(w) - 18*h(w).\nAnswer: 2*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (9\/(18\/4))\/((-3)\/(-6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 282332?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {k: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmdmdppmdmppmmdmm. What is prob of picking 1 m and 1 d?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 294267 + -160669841\/546. Calculate the common denominator of r and -163\/390.\nAnswer: 2730","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 143298 and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 239 + -236. Solve 0 = a - 0 - f for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1037581.\nAnswer: 53, 19577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*w + 11*w. Let n = 1.3 - 1.7. Let k = -4 - -7. Which is the second biggest value? (a) n (b) w (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f - 1. Let q(y) = 30*y + 7. Calculate 5*m(s) + q(s).\nAnswer: 35*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 293 and 1572529.4222?\nAnswer: 1572236.4222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 4) + (9 - -11) + 25.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/5 in 0.4, -0.4, 3\/2, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 14*m. Let o be (-3)\/5 - 112\/(-20) - 2. Let q(k) = -3 + 4 - 1 - o*k. Give p(q(j)).\nAnswer: -42*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*a + 5*a + 3087 = 0. What are the prime factors of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -1\/4, 1\/7, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r. Let q be (-21)\/3 + 6\/3. Let k(v) = 105*v. Let i(j) = -15*j. Let p(b) = 15*i(b) + 2*k(b). Let d(o) = 7*o. Let l(u) = q*d(u) - 2*p(u). Give l(y(s)).\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 79365707\nAnswer: 4\/79365707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-31 - 3870\/(-126)) + 646\/154 - 5.\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*b - 7*b - b + 0*b to the form v*b + r and give v.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 PM and 11:15 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 49 = 2*d - 4, 2*y = d + 23. Calculate the remainder when 18 is divided by y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*r - 3 + 22 - 13 - 8.\nAnswer: 23*r - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 - 1 + 1)*(3 + 0 - 5)*(4 - 4 - a)*(-92 - 32 - 7)*(-1 + 2*a + 1) in the form q*a**2 + c + j*a and give q.\nAnswer: 2620","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/(-10))\/((-1)\/30). Let b = -101757 + 101759. Solve b*i - g = 4*w, 0 = -4*w + 7*w + 3 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(110) - (4*(sqrt(110)*-4 + sqrt(110)) + sqrt(110))))\/((-3*sqrt(810) - sqrt(810) - sqrt(810))*-1) + 1 + 1.\nAnswer: 2 + 8*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m + 1. Let j(v) = -37*v**2 + 2*v + 45. Let z be (-40)\/(-50)*5\/(-2). Let r(l) = z*p(l) + j(l). Differentiate r(s) with respect to s.\nAnswer: -74*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 2.992589nm?\nAnswer: 0.000002992589","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vgeg when four letters picked without replacement from gegv?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-2))**37\/(p*(((p*p\/(((p\/p**0)\/p*p)\/p))\/p)\/p)\/p*p)**(7\/3) assuming p is positive.\nAnswer: p**(-118\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(76) + (-2 + 2 + sqrt(76))**2)*-2.\nAnswer: -608 - 16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 - 18 = -3*z + 5*l, 0 = 2*z - l - 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 225.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 729 and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 45 and 1105740?\nAnswer: 1105740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/359 or 13.185?\nAnswer: -2\/359","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 114 - 39. Suppose 14*p = 9*p + y. Solve 3*b + 3*a + 3 = 0, 0 = b - 2*a + 4 - p for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 + j - 3. What is d(-4)?\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123144463?\nAnswer: 13, 9472651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1201, 6444, 20677, 48394, 94089, 162256?\n\"Answer: 749*f**3 + f**2 - 3*f + 454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3\/8 + 29*b**2\/2 + 113*b\/2 + 56.\nAnswer: (b + 2)**2*(b + 112)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 8*k + 144 = 0. Suppose 0 = 2*j + 2*j - 2*u - k, j = -u + 18. Let p(a) = 2*a**2 + 3*a - 3. Calculate the least common multiple of j and p(-3).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19758 is divided by 9873.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((209\/(-11))\/57)\/(-13*(-12)\/14508).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -69, 4, -5, -4 in increasing order.\nAnswer: -69, -5, -4, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1104 - 1102. What is the closest to -2\/3 in 5, 0.1, -1, s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 302, 594, 888, 1184?\nAnswer: 1482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllllllllpllllllll. Give prob of sequence pl.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 14.4?\nAnswer: 57.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -21c - -2?\nAnswer: -21a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 + 4*r - 12. Let x be k(2). Which is greater: -3\/8 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -128, 153, 3, 2, -2 in increasing order.\nAnswer: -128, -14, -2, 2, 3, 153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -105\/76 and -21\/19.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -8543292\nAnswer: 1\/4271646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.2127579 millennia?\nAnswer: 2553.0948","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 55 = -c, 0*x + 3*c = -2*x + 9. What is the remainder when 153 is divided by x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1017, 1893, 2769?\n\"Answer: 876*p + 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1403 and 1863?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 14.505021 months?\nAnswer: 1.20875175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*u + 60 = -60*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -22*l**2 + 3*l - 142. Let a(r) = 36*r**2 - 5*r + 283. Let j(x) = -3*a(x) - 5*y(x). Let v(f) = 2*f**2. Give v(j(o)).\nAnswer: 8*o**4 - 1112*o**2 + 38642","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, -17, 117, -1, 1 in descending order.\nAnswer: 117, 4, 3, 1, -1, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 86 = -4. Let n = y + -11. What is the second derivative of -n*f**3 - f + 6*f**3 + 2*f wrt f?\nAnswer: -6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7393 is divided by 226.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9375 - 9246. Solve 125*b + 3*g + 25 = i*b, 3*b + 3*g = 3 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(((-3)\/(-1))\/((-306)\/(-51)))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005713398 rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 - (-18 + (11 - 25))) + -48.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of 0*c**3 + 0*c - 1\/75*c**5 + 0 + 1\/300*c**6 - 2*c**2 + 1\/60*c**4. Suppose a(z) = 0. Calculate z.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(972\/(-6))*36\/(-3))\/(112\/(-72)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 + 6*q**2 + 10*q - 17. Let y be i(6). Let j = y + -2343\/5. Which is bigger: j or 6?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o**3 + o**2 - 64. Give w(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 6481*b**5\/7 + 7565*b**4\/7 + 1084*b**3\/7 = 0.\nAnswer: -1, -1084\/6481, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 2)\/(42\/252)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 242645312340.99958 - 242647277898. Let k = v + 1965580. Let b = 23 - k. What is b rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -14 (b) -10 (c) -0.1 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -33 + 47. Solve 5*n - 3*d = -m, -n + 2*n - d = -4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -68.87 * 0.5.\nAnswer: -34.435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 59358 a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of m**4\/12 + 10*m**3\/3 + m**2 + m - 172. Give f(-17).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 + 36*s + 331. Let t = 125 + -85. What is the remainder when t is divided by d(-16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(243) + 2 + sqrt(108) + 2 + -3 + (4*(sqrt(3) + sqrt(3) + 0 + sqrt(3)) + 1 + sqrt(3) + -4)**2.\nAnswer: -63*sqrt(3) + 517","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/1194 and -23\/1917.\nAnswer: 762966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 25743707?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d**2 - d**2 + d**2)*(-4*d**2 + 3*d**2 - d**2 + (-d - d + 4*d)*(-3 + 3 - 2*d)).\nAnswer: -18*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 70419 or -60?\nAnswer: 70419","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 736554909?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -24331 + 52?\nAnswer: -24246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-50 - 49 - 104)*(-7*l - l - 1 + 1) as t + m*l and give m.\nAnswer: 1624","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10816759*r - 5235239?\nAnswer: 10816759","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*d - 4*i, d - 4*i + 26 = 3*d. Suppose -d*w + 98 = 2*a, 3*w - a - 82 = a. Is 13 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -7. Is 6\/7 less than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000017212 to seven decimal places.\nAnswer: 0.0000172","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127 = 6*o + 31. Let g = 479 - 447. What is the smallest common multiple of g and o?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m**4 - 3*m**4 + 5*m**4 + (82*m + 617*m + 307*m)*(6*m - 2*m - 2*m)*(-m**2 + 4*m**2 - 2*m**2) + (0 - 3 + 2)*(-2*m**4 - 5*m + 5*m).\nAnswer: 2016*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -38 - -35. Let g = b + 5. Suppose 18 = 5*w - 4*p, -10 = -4*p + 9*p. Solve -w*r = -g - 8 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 16, -164, 76\/5, -3, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 480103, 479575, 479037, 478483, 477907, 477303, 476665, 475987?\n\"Answer: -f**3 + f**2 - 524*f + 480627","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 3*i - 16 = 0, -3*b - 3*i - 4 = -25. Suppose 2*v**3 + 0*v**3 - 10*v**2 - 4*v**3 - b*v - 3*v**3 = 0. What is v?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 107899?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/s**(4\/5))**(3\/28) assuming s is positive.\nAnswer: s**(9\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1373122543 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (0 + 1 - (37 - 38)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0 (b) 175 (c) 6.4 (d) 0.5 (e) -3\/7 (f) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.78095 plus -11183.6?\nAnswer: -11177.81905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -8*c + 693. Let f(o) = 3*o - 233. Give -11*f(a) - 4*g(a).\nAnswer: -a - 209","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, 7, 50, 2 in decreasing order.\nAnswer: 50, 7, 4, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 59835809?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 4\/9 (b) -3\/5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 2109789217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1898*s + 325*s - 6292 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.112 - -0.512. What is the closest to z in -7\/3, -1\/4, -5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a**3 + 31*a**2 - 70*a - 351. What is p(-17)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 + 3)\/(1\/2). Let f(k) = -93*k - 1. Let l be f(-1). Let a = -82 + l. Solve 5*t = 2*u - a, w*u - 3*t - 10 = -0*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11.4*21.9.\nAnswer: -249.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, a: 1, w: 3, y: 2, m: 3, h: 1}. What is prob of sequence yylh?\nAnswer: 1\/3960","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - l = -230, u - 5*l - 106 = -l. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.65 + 0.25. Put -0.3, -5, o in ascending order.\nAnswer: -5, o, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.4, -5, -11, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 58*u**3 - u. Let l be i(1). Let r be (-3 + l\/18)*4. Which is the nearest to -2? (a) r (b) -3 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -57301\/5 in 2\/5, -2, 0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -1. What is the derivative of -3 + d**4 - 4 + k + 5 wrt d?\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of 0*c**3 + 0*c - c**2 - 1\/12*c**5 - 1\/15*c**7 + 0*c**4 + 0*c**6 + 0. Find the third derivative of x(v) wrt v.\nAnswer: -336*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 5*f + 18 = 3, -6 = -n - 2*f. Let g be (-96)\/(-15)*(n + (-15)\/(-6)). Is 16 equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -4*s**3 - 39*s**2 + 11*s + 50. Let y be f(-10). What is the highest common divisor of 1880 and y?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) 4\/11 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -551*h**2. Let f(v) be the third derivative of -v**4\/12 - 2592*v**2. Calculate d(f(o)).\nAnswer: -2204*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1865 + -1.0606. What is k rounded to one decimal place?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 708 + -425. Let r = m - 290. Let d(q) = q + 5. Calculate d(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i + 5*p - 30, 4*p + 12 - 34 = -3*i. Let s be (((-9)\/i)\/(-3))\/((-6)\/(-16)). Suppose r - 219 = -s*u, -u - 2*r + 56 = 10. Is u a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 - -9 - (0 + -5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**2\/5 + 194*t\/5 + 832 = 0.\nAnswer: -65, -32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(75)*1 + sqrt(12)\/(sqrt(48)\/(sqrt(12)*3 + sqrt(12))).\nAnswer: 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 0*v + 2*v - 1 - v + v. List the prime factors of d(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 - 23*v + 22. Let t be (-18)\/4*(6 + -4). What are the prime factors of a(t)?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14577 = 7*j - 60. Let n(v) = j*v + 5 - 2086*v - 5. Let y(s) = -4*s**2. What is y(n(p))?\nAnswer: -100*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/5, 12788.61, -0.3, 24?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.21 - -1865388?\nAnswer: 1865388.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 4148*r**3 + 20739*r**2 - 10*r - 30. Determine s(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -471 + 464.22. Let a = n - -5.8. Let o = -0.48 - a. What is the fourth smallest value in -0.4, -1\/3, o, -0.2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*6\/(-135))\/((-1)\/(-3)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/((r\/(r\/r**31)*r)\/r*r)*r**(-2\/97) assuming r is positive.\nAnswer: r**(-3009\/97)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = -11*h - 35. Let d(o) = -o**3 + o. Let y(v) = -v**3 - v**2. Give h*d(w) - y(w).\nAnswer: -w**3 + w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 13\/6) + (-5)\/(-30)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 6*u - 0. Let r be 6 + (-398)\/(-11)*u\/18. Suppose 4 = -6*f + 2*f. Which is smaller: f or r?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12 + -16 - (-7 - 0). Suppose -w*i = -4*u - 5*i + 68, 55 = 5*u - 5*i. What is the remainder when 57 is divided by u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -5*g - 2*u, u = 1 + 1. Let k(v) = -3*v**2. Let i be k(g). Is (-4 - i)\/((-1)\/1043) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 PM and 11:53 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 + 4*k**2 - 6*k. Let a be s(-5). Let m(n) = 0*n + 2 + a*n - 6*n. Determine m(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 4*y**3 - 73*y**2 - 33*y - 458. What is t(19)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate x**2*y + 242683*x**2 - 39050238*x*y + 62*x + 2 wrt y.\nAnswer: x**2 - 39050238*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 221 - 144. Calculate the greatest common factor of 7 and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 8 = -m. Let h(n) = m*n + 3*n - n - 3*n. Let z(y) = 3*y**2. Give h(z(v)).\nAnswer: 9*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 47515.06523 to the nearest 10.\nAnswer: 47520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - -8 - 6 - 12 - -8?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*d**2 + 33*d**2 - 2*d**2.\nAnswer: 41*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -16 divided by -51118\nAnswer: 8\/25559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*p + 6 - 3*p + 5)*(-11*p + 13*p - 7*p + (4 - 2 - 1)*(-2*p + 9*p - 3*p) + p - p - p) to the form w + k*p + l*p**2 and give k.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) + (-2*sqrt(72) + sqrt(72))\/sqrt(4) - (sqrt(18) + sqrt(18) + -6*sqrt(72)\/sqrt(4)))\/(2*(sqrt(1296) - (2*sqrt(1296) + sqrt(1296)))).\nAnswer: -sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 16 = -28. Let a = 1 + y. Calculate the remainder when (-4)\/(-20) + (-128)\/a is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 46*n**5 - 108*n**5 - 2*n**3 + 23*n**5 - 2*n**5 - n**5 + 4*n**5 + (-2*n + 2*n - 2*n)*(0*n**3 + 0*n**3 + 2*n**4).\nAnswer: -42*n**5 - 2*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = 2*z + 9. Suppose 5*l - 4*s = 257, -3*l + 8*l - 267 = -s. Let a = l + z. Is a a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7 and 280896?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (10 - 8) + -9 + -5 + -1\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of 0*o**5 + 0*o**4 - 7\/6*o**3 - 1\/20*o**6 + 0 + 0*o + 16*o**2. Differentiate d(g) with respect to g.\nAnswer: -18*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -10*d - 9. Let w(s) = -s - 1. Let h(a) = 2*j(a) - 18*w(a). Let n be h(-1). Let u(x) = -22 - n*x + 22. Let f(y) = y**2. Determine u(f(m)).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -252 - 2535?\nAnswer: -3231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1549230 and 311880?\nAnswer: 3390","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/43, -1\/2, -0.06?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1\/4))**(-2\/9)\/(v\/v**1)**(-1\/67))\/(((v**(-8\/3)\/v)\/v*v)\/(v*(v**(3\/2)*v)\/v))**35 assuming v is positive.\nAnswer: v**(1943\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + -1.8. Let f be (150\/(-125))\/(-1 - (2 - 1)). Which is the smallest value? (a) f (b) j (c) 4 (d) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-25905)\/10*(-12)\/18?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 230331430 - -51?\nAnswer: 230331521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -96 - -68. Let t = -27.9999906 - z. What is t rounded to six dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 141*a - 60*a + 40*a + 25*a in the form o*a + h and give o.\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 + 3*g + 25. Let v be d(11). Suppose -84 - v = -s. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 53 by 1762.\nAnswer: 53\/1762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of z**2\/2 - z + 3. Give p(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -22.4 (b) -0.2841 (c) 1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 95359296 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - y - 3*n - 18, 24 = 2*y - 5*n. What is the second derivative of c**4 - 521*c**2 + 2*c**4 + 505*c**y - 4*c**4 + 25*c wrt c?\nAnswer: -12*c**2 - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.2711 and -0.8.\nAnswer: -1.0711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -75, -71, -67, -63, -59?\n\"Answer: 4*c - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 e when two letters picked without replacement from {d: 1, w: 3, x: 4, h: 4, e: 3, k: 2}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 60 + -8. Let c(w) = 1 + 2 - 53*w + p*w. Suppose 4*t = -8, 3*o = -0*t - 3*t - 15. Let n(m) = 1. What is o*n(b) + c(b)?\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1072536587.\nAnswer: 61, 17582567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 63, 59, 53, 45, 35?\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2350 - -0.111.\nAnswer: -2349.889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 185893.\nAnswer: 185893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*w = -35*w + 216. Calculate the remainder when 536 is divided by w.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l**4 - 3*l**3 - 18*l**2 = 0 for l.\nAnswer: -3\/2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 - 3*x**2 + 0*x**2 + 6*x**2. Let t(k) = 85*k. Let g(f) = -7*f. Let o(j) = -25*g(j) - 2*t(j). Calculate a(o(q)).\nAnswer: 50*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -91*h**2*q**2 + h**2*q + 45*h - q**2 wrt q?\nAnswer: -182*h**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + 1. Suppose 2*r = -d + 3*r + z, 4*d + 5*r = -29. Let j = d + 5. Sort 3, j, 0.5.\nAnswer: 0.5, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 12 = y. Suppose -v = 4*t - 3*t + y, 4*t + 14 = -3*v. Let p = 12 + v. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -223 * -0.4\nAnswer: 89.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*k + c - 70 + 80, -17*k - c - 49 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2\/13, -4\/7, 16, 22, -5, 544?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -10, -14, -22, -34?\n\"Answer: -2*k**2 + 2*k - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 + 11 + 17 - 4 + t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3*8\/16*2\/30\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21 - -13. Let h(p) = p + 5. Let m be h(y). Let j be m + 0 + 0 + 0. Let v(b) = b**2 + 3*b + 3. Calculate v(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, 5, 7, -4, 3, -309.\nAnswer: -309, -4, -3, 0, 3, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*w + 4 - 15031*w**2 - 5 + 15070*w**2 - w**3 in the form v*w**3 + u*w + g*w**2 + i and give g.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (51*y - 99*y + 6*y)*(12 - 12 + y**2) - 5*y**3 - y**3 + 2*y**3.\nAnswer: -46*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 552 and 7533604?\nAnswer: 45201624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5 - (-54)\/12)*(-1 + -223). What is the highest common divisor of s and 308?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 82*r - 78*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18264531 to the nearest integer?\nAnswer: 4274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 4 - 10 - 3*l - 18 + l. Let z be a(-11). Let u be z + 1 - (3 + (-7 - 3)). Calculate the highest common divisor of 48 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -83d6 (base 14) to base 12.\nAnswer: -111a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -0.04 (c) -1\/3 (d) -9\/5 (e) 0.84\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 138, 131, 118, 99, 74?\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 10. Suppose 0 = 7*o - d*o - 15. Suppose u = o*u. Sort 3, 4, u in ascending order.\nAnswer: u, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/1365*15)\/(-2).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 241196, 482265, 723334, 964403, 1205472?\nAnswer: 1446541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 - 51*r - 384. What is the smallest common multiple of 384 and t(-35)?\nAnswer: 4224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -113081 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-19)\/6*4\/(-2)*87645\/(-5843)\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -611506755*v - 1065374444 wrt v.\nAnswer: -611506755","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 2*m = -27, 0 = -k + m + 4*m + 10. Let c(f) be the first derivative of 0*f**3 - 4*f + 3 + 4\/5*f**k + 0*f**2 + 0*f**4. Differentiate c(y) wrt y.\nAnswer: 16*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -8*o**3 - 4*o**2 - 2*o + 2. Let m be b(-2). Find the common denominator of -97\/16 and (-1068)\/m*(-2)\/(-8).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffff when four letters picked without replacement from {f: 5, p: 5}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2*s - 18. Let x be l(-5). Let v(m) = m - 2. Calculate the least common multiple of 1\/(-4) - (-2)\/x*-9 and v(15).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 11*m**2 + 17*m + 11. Let v(d) = 24*d**2 + 36*d + 23. Let t(l) = 6*v(l) - 13*w(l). Give t(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11914.5225 + 11916. What is n rounded to 2 dps?\nAnswer: 1.48","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 175 divide 3494575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is one ninth of a week in seconds?\nAnswer: 67200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 + -7 - 0)*-2. Let f be (-2)\/(-5) + 1746\/z. Suppose -3*n = 55 - f. Calculate the highest common factor of 10 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1552 - 1573. Suppose 11 + 54 = r. Let m = o + r. List the prime factors of m.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 6*c**2 - c - 1. Let g be l(1). Solve q = g*q + 12 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161 a factor of 23915096?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 - 13*a**2 - 4*a - 40. Let v(j) = 2*j**3 + 12*j**2 + 3*j + 5. Let f be v(-6). Let m be u(f). Let t(k) = k**2 - 12*k + 7. Determine t(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.08 and -33.156416?\nAnswer: 2.65251328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of -2*(676\/(-8) + 3\/(-1)) and 150.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1607 (base 8) to base 6.\nAnswer: -4103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*m - 5 = -8*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4448797343 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8738846 less than or equal to 8738848?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -3871*a + 4371. What is h(1)?\nAnswer: 500","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of -n**4\/24 + 13*n**2 - 9. Let u(m) be the second derivative of l(m). Calculate u(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ypyyyyypyp. Give prob of picking 3 y.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 76998 a multiple of 123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 98*c + 84. Let y(l) = -l - 1. Give -r(m) - 84*y(m).\nAnswer: -14*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((-2 + sqrt(1372) + sqrt(1372)*-2 - sqrt(1372)) + -2*sqrt(1372) + 0))**2 + 0.\nAnswer: 224*sqrt(7) + 21956","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 68 - 66. Solve 0 = 7*w - o*w + 20 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (12\/5)\/(33\/110). Suppose -5*g = -6*g + h. Calculate the highest common divisor of g and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -58*g**3 - 2*g**2 - 3*g + 4. Let r(f) = -173*f**3 - 6*f**2 - 8*f + 11. Calculate 4*r(o) - 11*t(o).\nAnswer: -54*o**3 - 2*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14563187 to the nearest integer?\nAnswer: 3816","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*r + 3 = i + 9*r, 2*r - 11 = 5*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*y - 6*y**3 + 12*y)*(99 + 34 - 61).\nAnswer: -432*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 251735?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121) - (sqrt(121) + sqrt(121)*1) - sqrt(121))\/sqrt(11) + (sqrt(11) - (1 + 2 + sqrt(11) + sqrt(11))**2).\nAnswer: -53 - 13*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 3*i + 4*w, -3*i + 3*w + 266 = 263 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 898899591?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -869*t - 184. Let l be w(1). Is l less than -1050?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -23) + 21 - 48.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 37 - 37 + 17*k**4 + (-3*k**2 + k**3 + 3*k**2)*(2*k - 3*k + 3*k) + 4*k**4 - 2*k**4 + 0*k**4.\nAnswer: 21*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -247\/1004310 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gk when two letters picked without replacement from {i: 5, k: 1, g: 1, o: 2}.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.01, 19, -3, 8, -0.28, 10?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bq when two letters picked without replacement from {b: 1, q: 3, k: 4}.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15684 + -15681. Solve 3*w + 4*a + 263 = 257, -r*a + 10 = -5*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*a + 353 = 393 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - 48c05?\nAnswer: -48c01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 53595 and 1668591.\nAnswer: 25028865","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1382 - -9656\/7. Let s be (-7)\/49 - 19269\/14. Let q = 1409 + s. Find the common denominator of q and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d - 445 = 6*d. Suppose -j + 151 = d. Is j bigger than 63?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 7, o: 3}. Give prob of sequence oob.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 1879 divide 104307048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**2 + 1 - 1 + (0*a - a - a)*(-984 - 187*a + 984).\nAnswer: 373*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17033 is divided by 441.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of y**6\/120 + y**5\/6 - y**4\/3 + 4*y**3\/3 - 2*y**2 - 370. Let b(i) = i**2 - i + 1. Give 24*b(v) - 3*m(v).\nAnswer: -3*v**3 - 6*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 298993 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of -p**5\/20 + 19*p**4\/12 + 3*p**3 + 22*p**2 - 18*p. Calculate the smallest common multiple of g(20) and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12123402 - 30?\nAnswer: -12123432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4470805 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/28 - (-88)\/14. Let j be (i\/(-2) - -2)*-3. Suppose -w - 2*r + 18 = -1, -3*w + j*r + 39 = 0. Is w a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*w**2 + w**3 - 10 + 16*w**2 - 11*w**2 to k*w + i*w**2 + f + v*w**3 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 0, 3, -8, -45, -120, -245?\n\"Answer: -2*s**3 + 5*s**2 + 2*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 7*n - 300. Suppose 2*j - 7*j + n = 0. What is j rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19 or 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 58*w**5 - 120*w**4 + 66*w**3 - 4*w**2.\nAnswer: 2*w**2*(w - 1)**2*(29*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 1\/1083993?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 - 14*s - 12. Let f be v(-13). Sort -3, 0, f, -5 in ascending order.\nAnswer: -5, -3, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 0)*(5 - 6 - 9)*(5*k - 8*k - 13*k).\nAnswer: 160*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 10\/9 (b) -1 (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -2*b**3 + 30*b**2 + 45*b - 104. Calculate t(17).\nAnswer: -495","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -0*h + h. Let k be h\/3*18\/(-4). What are the prime factors of (1 - -3) + k*5?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fdc. What is prob of sequence fc?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -3207179.\nAnswer: -641435.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (-12 - (-4 + 16 + -25))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1597 or 1575?\nAnswer: 1575","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -7*p**5 + 15*p**4 - 14*p**3 - 8*p**2 + 20*p. Let n(c) = -6*c**5 + 15*c**4 - 15*c**3 - 9*c**2 + 21*c. Let i(x) = -4*n(x) + 3*w(x). Factor i(r).\nAnswer: 3*r*(r - 2)**3*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28706, 57401, 86102, 114809, 143522, 172241?\nAnswer: 200966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1 (b) 360 (c) 244\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 102\/(-14) - (-2)\/7. Let i(o) = 2*o + 7. Let s(v) = -2*v + 2. Let y(h) = i(h) - s(h). Calculate y(l).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = n - 4*n + 3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03611558592 rounded to three dps?\nAnswer: 0.036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 5*v**3 + 2*v**2. Let o(s) = -6*s**3 + 8*s**2 - 12*s. What is 3*d(i) - o(i)?\nAnswer: 21*i**3 - 2*i**2 + 12*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 89334508?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 136 + 89. Let z be 65\/n + (-26)\/9 + 3. Let m = 0.13 + 4.87. Put m, 2, z in decreasing order.\nAnswer: m, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of -1\/8*g**2 - 5 - 1\/12*g**3 + 0*g. Determine s so that h(s) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 20\/6 - (-18)\/27. Solve j*u = u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + -42 - (9 - 19) - 7?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 854 and 583947?\nAnswer: 71241534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -4*i - 30, -2*i + i = -5*w + 48. Solve 4*x = z - w, -2*x - 4*z = -z - 13 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 + p + 1. Suppose -4*k + 9*k - 15 = 0. Let v(i) = -5 + k + 5 + 2*i + 4*i**2. Determine 3*h(c) - v(c).\nAnswer: -c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 7*h**2 - 752*h + 396. What is q(107)?\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + 13*i**2 - 16*i + 321. Calculate g(14).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from lvqlljijll?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 864, 1716, 2564, 3408, 4248, 5084, 5916?\n\"Answer: -2*c**2 + 858*c + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-4\/5))**39 assuming j is positive.\nAnswer: j**(-156\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 135 a factor of 6268862?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2440 - 2010. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)\/(sqrt(2)*2))\/sqrt(7).\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/13? (a) 2\/5 (b) -0.11 (c) -1\/8 (d) 0.045 (e) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6426746?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qpqpqqqqq. Give prob of picking 1 q and 2 p.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2 - 61*w**2 - 3*w - 2059*w**3 + 2061*w**3 + 0 wrt w.\nAnswer: 12*w - 122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 447007556?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -7*v**2 + v. Let q(z) = 64 + 14*z**2 - 2*z - 64 + 0*z**2. Give -7*i(m) - 4*q(m).\nAnswer: -7*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -13*p + 35. Let d(i) = -25*i + 71. Let y(g) = 6*d(g) - 11*o(g). What is the remainder when y(-10) is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1625*s + 157544 = -1531*s. Calculate the greatest common divisor of 4 and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.5 - 2. Let c = -1.054 - -4.054. Sort c, -0.1, l, 4.\nAnswer: -0.1, l, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 4*o + 19, 0 = -0*l - 5*l + 2*o + 41. Suppose 0 = 5*f - d - 15, -l*f + 3*f + 6 = -2*d. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*o - 4*v + 43 = 79*o, -o - 19 = -2*v for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 13250 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -413 bigger than -10296\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 - 11. Determine x(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 16*g**2 + 720*g + 53. Calculate the remainder when 943 is divided by q(-45).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40 and 13136.\nAnswer: 65680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1315, 1347, 1377, 1405, 1431, 1455, 1477?\nAnswer: 1497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eezfdzndnfnededeed. What is prob of sequence fzdd?\nAnswer: 1\/918","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 + -6. Let r = 1368005\/17 - 80309. Let n = r + -162. Which is the closest to 0? (a) 5 (b) s (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -8, -0.11, -0.4, -32, 1.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -7*m - 2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 265366*j - 45659 wrt j?\nAnswer: 265366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8035097 is divided by 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence roo when three letters picked without replacement from rrrrrrorrorrrrrrrr.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -4059378.3 to the nearest 1000.\nAnswer: -4059000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 61\/3 + -20. Let f(g) = 5*g - 2. Let y(k) = 9*k - 5. Let u(a) = -11*f(a) + 6*y(a). Let l be u(-8). Which is smaller: r or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 31007754?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/5 of a meter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 683995246?\nAnswer: 2, 11, 37, 840289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1949, 1928, 1889, 1826, 1733, 1604, 1433?\n\"Answer: -b**3 - 3*b**2 - 5*b + 1958","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -782*l - 159. Is n(-28) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33076302 take away 218289?\nAnswer: 32858013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -1 (b) 0.1 (c) -1\/102 (d) 82\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + z + 2*z + 2, -4 = -g + 3*z. Let c(t) = 8 - t**2 - g + 1 - 9. Let q(f) = -3*f**2 - 4. Give 12*c(h) - 3*q(h).\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 81220.15 centuries?\nAnswer: 812201.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 5*z = -8 - 29, -f = z + 2. Solve 0*c + f = -c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9753 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 233881, 233690, 233497, 233302?\n\"Answer: -c**2 - 188*c + 234070","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 72 = 24. Let q = 9 - w. Is q at least -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000091437021 to 5 dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t - 16. Let u(w) = w - 8. Let z(y) = 2*h(y) - 5*u(y). Let i be z(7). Which is the third biggest value? (a) -3 (b) i (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d - 23. Give s(-12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1138 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 186722799.\nAnswer: 3, 62240933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 363 (base 7) in base 15?\nAnswer: cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -21 + 4?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 49399\/53 + -932. Let m = w + 67\/689. Let n = 1 - 2. Is n bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-6\/5))**(-12) assuming d is positive.\nAnswer: d**(12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 247 + -247.5. Which is the closest to 0.3? (a) -2 (b) -1\/50 (c) i (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*r - 6*r - 20. Let f = -1 - 4. Sort r, f, 4.\nAnswer: f, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -14*v**3 - 9*v**2. Let n(a) be the third derivative of 7*a**6\/60 + 2*a**5\/15 + 121*a**2 + 3*a - 1. What is -6*l(j) - 7*n(j)?\nAnswer: -14*j**3 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 164 divided by -4.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 22100251 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Round 7.855289 to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11820000 by 985.\nAnswer: 12000","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of -n**8\/1680 + n**7\/525 + n**6\/600 - n**5\/150 + 2*n**2. Solve q(x) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - r = -4, 2*r + 5 = d + 4. Let u = 3.85 + 0.15. Which is the second biggest value? (a) d (b) u (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/275 or 1?\nAnswer: 1\/275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 12*i. Let a be h(-2). Let o be (a\/(-30))\/((-2)\/(-10)). Suppose o*j - 9 = 3. Calculate the lowest common multiple of j and 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3600219919 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 281*f + 7829. Determine h(-28).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 22185 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**2 + 2*o**2 - 3*o**2)*(7*o**3 + 2*o**3 - 5*o**3 + (0 + 0 - o)*(-3*o**2 - o**2 + 5*o**2)).\nAnswer: -9*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 AM and 6:35 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 11*k = 7*k + 4, -5*r + 32 = -3*k for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(160)\/sqrt(5) + sqrt(32) - sqrt(32)) + sqrt(32))\/sqrt(8) - -3*2*sqrt(4))\/(-5*sqrt(98)*-3).\nAnswer: 8*sqrt(2)\/105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-4.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 9:33 AM?\nAnswer: 12:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)\/sqrt(48) + -1*sqrt(240))\/(sqrt(30)\/(sqrt(40)\/sqrt(4)) + 1*sqrt(192)).\nAnswer: -5*sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 768183 is divided by 524.\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together -28 and -0.36.\nAnswer: -28.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 320 + -320.0001044. Round a to five decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 290, -13, -199 in descending order.\nAnswer: 290, -13, -199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 3:15 PM?\nAnswer: 7:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -24461*r + 22257.\nAnswer: -24461","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -1277.391?\nAnswer: -127.7391","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 - 20. Let t = -8 - o. Find h such that 0*h + t*h**2 + 0 + 2\/3*h**3 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 53, -44, -313, -772, -1439?\n\"Answer: -3*b**3 - 68*b**2 + 128*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -60 - -62. Let c be (20 - 17) + 2\/t + -1. What is the units digit of 10\/(0 - c\/(-30))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of 0*c**4 - 1\/180*c**6 + 0*c**5 - 20*c + 0*c**2 + 0*c**3 - 4 + 1\/252*c**7. Factor t(m).\nAnswer: m**4*(m - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/((-16)\/(-144)*9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -20*v**2 + 38*v - 44. Let o(b) = -7*b**2 + 13*b - 15. Let d(p) = -6*m(p) + 17*o(p). Let q be d(6). Solve q*u + 12 = 3*t, -5*t + 2*u + 26 = 3*u for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, y: 1, g: 1, q: 1, t: 3}. Give prob of sequence yttg.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q**3 - 7*q**2 + 31*q - 12. Let b be i(5). Put 0, b, 5 in decreasing order.\nAnswer: 5, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24474827114 + -4.811.\nAnswer: -24474827118.811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n - 6. Let h be t(-5). Let z(j) = -6*j**3 + j**2 + 2*j + 1. Let d be z(h). Solve -d*f = -f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64939 to the power of 1\/2, to the nearest integer?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 1 - 4*r**2 + 7 + 2*r**2 in the form d*r + a*r**2 + v and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6477 and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1571804061?\nAnswer: 3, 23, 22779769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 31288885 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 333.64 + -881488.\nAnswer: -881154.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2\/2 - 81*a\/2.\nAnswer: 3*a*(a - 27)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1164310687 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (59\/(104489\/414)*44\/6)\/(6\/364)?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -2. Suppose 0 = -g + v*g - 4. Let n be 6\/g*(-8)\/126. Which is smaller: n or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 3 + 9 = 0. Let h = -5522 + 5525. What is the nearest to 1 in s, 2\/11, h?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 6*g + 258 = 0. Let m = g + 43. Solve m*u = 5*u + 5 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79209 a multiple of 345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 132 - -84. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -4*f**2 - 2*f - 1. Let i be b(-1). Let n(x) = -x**3 - 2*x**2 + x - 1. Let h be n(i). Let d = -721 + 723. Put -1, d, h, 1 in increasing order.\nAnswer: -1, 1, d, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 302\/7 in 1, -0.173, -3\/2, -5, -1\/2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 18431.661 and 4794476.\nAnswer: 4812907.661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -167267908 - -0.21\nAnswer: -167267907.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1030075 a multiple of 155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -750*g**4 - 7*g**2 + 2022*g**4 - 7*g**2 + 1 + 3*g**2 - 10*g + 6165*g**4 wrt g?\nAnswer: 178488*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 740815 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from {x: 2, r: 7, a: 3}.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(896))\/(6*(sqrt(128) + sqrt(2) - sqrt(2))).\nAnswer: sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 229 and 64?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - (-5)\/3)*3. Suppose 0 = s*n + n - 126. Is 16 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 94424406?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 407049 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2d2 - 13?\nAnswer: -2e5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*l + 57*l + 53*l + (3 + 1 - 2)*(0 - 2*l + 0))*(27 + 23 - 9).\nAnswer: 5453*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(80)*-3)**2 - (sqrt(5) - (sqrt(45) + sqrt(180)\/sqrt(4)))) + (sqrt(15)\/sqrt(3)*4 - -3*(sqrt(125))**2).\nAnswer: 9*sqrt(5) + 1098","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 11 = 1. Suppose 0 = 4*g - y + 3*y - 6, -t*y + 6 = -2*g. Solve 15 = -g*v - 5*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27 + -23. What is the units digit of 975\/18 + b\/(-24)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-3\/20)*n)**(-25\/6))**(-9\/11) assuming n is positive.\nAnswer: n**(645\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 67878, 67881, 67884, 67887, 67890?\n\"Answer: 3*a + 67875","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 331\/884 + -15\/68. Which is the third biggest value? (a) -37\/5 (b) h (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 6*z - 220. Suppose -32 = 3*s - 176. Let h = s - z. Solve h*k - 9 = k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 6 = -4*g. Which is the second smallest value? (a) g (b) 0 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 749?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 divided by 9757.\nAnswer: -34\/9757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8e148 (base 16) in base 7?\nAnswer: 4642451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7139343?\nAnswer: 3, 2379781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8981*m - 9036*m = -2420 for m.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - 4a07?\nAnswer: -4a0a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -50373 divided by -2493?\nAnswer: 5597\/277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 + 6*d**2 - 8*d - 7. Suppose -4*w - 28 - 4 = f, 4*w + 2*f + 36 = 0. Let h be q(w). Which is smaller: h or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from {f: 15, r: 4}.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002041485 rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*d = -80 - 430. Solve d = -5*b + 14 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of 73*u**6\/120 - 5*u**4\/24 + 61*u**2 + u. What is the second derivative of a(q) wrt q?\nAnswer: 438*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + t - 4. Let z be (0\/(-4))\/(t + -3). Suppose -23*k - 10 = -79. Solve k*s - 1 + 7 = z for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65 is divided by 19?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/((r**(-16)*r)\/r)*r)\/r)**(-1\/19) assuming r is positive.\nAnswer: r**(-18\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of y**6\/30 - y**5\/10 - 7*y. Factor x(d).\nAnswer: d**3*(d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - 735086?\nAnswer: -735086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 117191715 and 627.\nAnswer: 1289108865","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -350 times 2\nAnswer: -700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(((-2205)\/252)\/(-5))?\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - ((1 - 6) + -11 + 15).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lkhlhlqfkkkllll. What is prob of picking 1 q, 1 h, and 1 l?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 19 = 3*c + 35, -2*r + 2*c + 16 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 457 + -450. Let i be -21 + 5 + m - (-5 - -1). Let y(r) = -r**2 - 6*r + 6. What is y(i)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*3\/(-4*1197\/(-56)).\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9023, 70945, 238843, 565649, 1104295, 1907713?\nAnswer: 3028835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -197477*z**5 + 215591*z wrt z.\nAnswer: -3949540*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40701 = 195*q - 198*q. Is q 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 fwwwwffwwwwwfh. Give prob of picking 1 h, 1 w, and 1 f.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) - 1*sqrt(132))\/sqrt(11))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -340*g**2 - 1194*g**2 + 187*g**2.\nAnswer: -1347*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 364*w = 366*w + 4. Which is smaller: w or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -76, -1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 72, 295, 664, 1179, 1840, 2647?\n\"Answer: 73*a**2 + 4*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + -9. Suppose -r*j - j = -174. Let w be (-54186)\/(-374) + ((-415)\/85 - -5). What is the greatest common divisor of w and j?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/((-180)\/33) - -2. Let -i + 1\/6*s**2 + 0*s = 0. What is s?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.43 + 0.33. Let t = 1.36 + 19.04. Let r = t + -20. What is the third biggest value in r, 0.1, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, e: 1, t: 1, w: 3, y: 3, q: 2}. Give prob of sequence yv.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104228\/9 + (327\/27 - (14 - 2))?\nAnswer: 37, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3005*l + 3011*l - 9020*l + 3006*l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 3*o + 15 = 0, -o + 2 = o. Let t be 0 + 1 - 5\/5. Suppose 0 = -t*z + 4*z - f. What is the highest common factor of 1 and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 4*g**2 + 822*g + 19400. Determine v(-23).\nAnswer: 2610","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1222032, 1222038, 1222044, 1222050, 1222056, 1222062?\nAnswer: 1222068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 210, 667, 1448, 2583, 4102, 6035, 8412?\n\"Answer: 5*c**3 + 132*c**2 + 26*c + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -36 + 22. Let k = -11 - t. Let q = 0.1 + -0.3. Which is the nearest to -0.1? (a) k (b) q (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 205210 = -5*p, 0*s - 2*p - 410396 = 4*s. Round s to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -57*d + 109. Let g(p) = -p**3 - 10*p**2 + 39*p - 14. Let y be g(-13). Is c(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 82 - 86. Which is the closest to 4? (a) -0.04 (b) x (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(((-9)\/54)\/((-1)\/6)). Solve z = -4*c + 4*p - 8, 0 = -3*c + 5*p - 6 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21 + 20?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5374 is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 54 - 57.9. Let r = -4 - y. What is the fourth smallest value in -2\/7, -0.2, 4, r?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t**3 + 170*t**2 + 540*t - 1800 = 0. What is t?\nAnswer: -30, -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, 0.9, -2\/17, -0.05, -30 in decreasing order.\nAnswer: 3, 0.9, 0, -0.05, -2\/17, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 20.41 to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 984 + -988. Let q be 3\/(6\/2) + 0. Let c(m) = 8*m. Let k(h) = h. What is q*c(j) + v*k(j)?\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29899\/28 + 4137\/4. Which is smaller: z or -34?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1485654, 5942950, 13371776, 23772132, 37144018, 53487434, 72802380?\n\"Answer: 1485765*i**2 + i - 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 + 10*y + 220. Let d be a(-8). Is 110 equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 1 + 23 = 0. Let m = l - 17. Let w(u) = 2*u**2 - 8*u - 7. Let s be w(m). Solve 0*x = 2*x + 2*d - 4, -s*x + 2*d = -21 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 603 + -340. Let l = 299 - p. Is 30 at least l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 - (-16)\/(-24)*-14. Let p = -6 + n. Which is the closest to 2\/3? (a) 5\/3 (b) -9 (c) p (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, e: 2, i: 4, c: 3}. What is prob of picking 3 c and 1 l?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 457*f**3 - 14*f**5 - 457*f**3)*(0 + 3 - 2 + (2 + 4 - 4)*(0 + 0 + 1) - 3 + 24 + 2).\nAnswer: -364*f**5 + 52","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, u: 1, o: 2, k: 2, j: 8}. What is prob of sequence zj?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 3*f = 3*l - 27, -2*l - f = 26. Is ((-3)\/l)\/(10\/1509350) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -190386, -380723, -571060, -761397?\nAnswer: -951734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-2) + 1 + (-11 - -5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33 and 957.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/8? (a) -3 (b) -0.2 (c) -1\/2 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*r - 4*o - 6, 3*o - 7 = r. Suppose -142 - 113 = -r*x. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/7, 0.08024, 0.5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*i - 19*i + 164 = 0. Let n = -38 + i. Suppose -191 - 7 = -n*v. What are the prime factors of v?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 964?\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 75\/42 + 56\/(-196). Let m(k) be the first derivative of -37 + r*k**2 - 15*k. Find the first derivative of m(t) wrt t.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-9 - 1)\/(-2) + -1 and (-1100)\/(-60) + (-2)\/6.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1622676275.\nAnswer: 5, 11, 5900641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 3) in base 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 276 divide 739906?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 2) + (190 - 67) + -23.\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 62 - 60. Suppose 0 = -7*y - 12 - s. Do y and -15\/8 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 5*j = 5*f - 6, 3*j = -f + 10. Solve 0 = m - 4*d + 16, f*d - 8 = 2*d for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 + 10*k**2 - 13*k + 6. Let x be y(7). What is the third derivative of -x*v**3 + 102*v**5 + 6*v**2 + 13*v**3 + 6*v - 104*v**5 wrt v?\nAnswer: -120*v**2 - 294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-40)\/12*15\/(-10). Suppose -3*o + 160 = c*o. Let x be 1*(-3 - -1) - -7. Solve 15 = 2*y - b - 0*b, -x*y - b + o = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.137 + 29.937. Let q = y - 27. Let j = -0.8 + q. Which is the second biggest value? (a) j (b) 1\/5 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 q when three letters picked without replacement from qwmnnmqmmnnmmmqmwn?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, -80, -407, -1074, -2195?\nAnswer: -3884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27 and 1269?\nAnswer: 1269","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7792936 a multiple of 1193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 194981 to the power of 1\/2, to the nearest integer?\nAnswer: 442","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, d: 1, l: 1, r: 1, s: 4, b: 3}. Give prob of picking 1 b, 1 l, and 1 d.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -752954, -1505966, -2258980, -3011996?\nAnswer: -3765014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*f + 136 = -395 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a - 7. Let q be m(7). Suppose q*b = -b - 1042. Let g be b\/(-8) - (-5)\/(-20). What is g rounded to the nearest ten?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-82)\/82 + (2 - 1)*5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10153833?\nAnswer: 3, 23, 31, 47, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v + 1. Let y(s) = -5*s**3 - s**2 + 2*s - 1. Let r be y(1). Let k(d) = d**2 + 5*d - 4. What is r*i(o) - k(o)?\nAnswer: -o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20 + -23. Sort -10, -4, -2, a.\nAnswer: -10, -4, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2755, 2753, 2751, 2749, 2747?\n\"Answer: -2*o + 2757","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -10011111001 (base 2) to base 8\nAnswer: -2371","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000732 to seven dps.\nAnswer: -0.0000073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 5*z**2 + z - 4. What is the units digit of r(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - ((-4 + 14 - 7) + -3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 3)*(146*w**3 + 265*w**3 + 363*w**3) + 2*w**3 - 4*w**3 + 0*w**3.\nAnswer: -2324*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - a + 1)*(-3 - 7 - 3)*(-4*a**3 + a - a).\nAnswer: -52*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 - 2*l**2 - 12*l - 8 + 4*l. Let v be w(-6). Suppose -7*q + 32100 = -v*q. What is q rounded to the nearest one thousand?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.2 - 4.4. Which is the closest to g? (a) -2\/13 (b) 0.4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 25 = 3*q, -t = -25*q + t + 3*t - 220 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 5*n + 25, 0 = 4*n + 4*u - 5*u + 8. Find the common denominator of 87\/16 and 162*(n - (-180)\/176).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3529 + -3523.346. Let x = -0.046 - k. Let l = x + 6.7. Is l >= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 1:16 PM?\nAnswer: 7:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -55283, -224012, -505235, -898958, -1405187, -2023928?\n\"Answer: -i**3 - 56241*i**2 + i + 958","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00456000166 rounded to 7 decimal places?\nAnswer: -0.00456","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(78)\/(sqrt(96)*2 + sqrt(6)) + 3.\nAnswer: 2*sqrt(13)\/9 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 6*n + 1 - 9*n - n. Let x be a(1). Let g = 6 + x. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 + 16. Let x be 2\/12 - (-35)\/42. Suppose -5*s - x = -6*s. What is the smallest value in 3\/2, i, s?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17.43 + -17.33. What is the second smallest value in u, -1\/4, 2\/5, 0.3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 419555, 419590, 419639, 419702, 419779, 419870, 419975?\n\"Answer: 7*l**2 + 14*l + 419534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -19*p - 230. Let k be q(-12). Which is the closest to 7? (a) 1\/4 (b) 3 (c) -3\/2 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 512\/10 - 3\/15. Let z be ((-1374752)\/24)\/((-2)\/t). Let n = -2580674 + z. Round n to the nearest one hundred thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120)\/sqrt(5))\/sqrt(12) - sqrt(2))**2 - sqrt(2)*3*-1.\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -1\/5 (b) -0.3 (c) 0.1 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 592\/14 - 6\/21. Let f = -14 + g. Does 8 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 4*f + 1086, q = 5*f + 53 + 493. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -d + 5*k + 2, -3*d + 31 = -k. Let l(c) = 2*c**2 + 4*c + 4. Calculate the remainder when l(-4) is divided by d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/1)\/((-1971)\/61101).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**5\/c*c**(-7))\/(((c**(-8)\/c)\/c)\/c**(5\/2)))**(16\/7) assuming c is positive.\nAnswer: c**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2591453 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 880708.\nAnswer: 2, 220177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.484 and -8.\nAnswer: 27.872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 AM and 12:12 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 591, 584, 573, 558, 539, 516, 489?\n\"Answer: -2*i**2 - i + 594","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 37.2 - 37. What is the fourth biggest value in 0.5, w, -5, -1\/8?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2546\/9 + 39881\/144. What is the common denominator of 125\/6 and q?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-130 + 53 + -8)*42\/490?\nAnswer: -51\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9179 - 4588 - 4591 + 12494*x**2.\nAnswer: 12494*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101100120 + -1?\nAnswer: -101100121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7a - -99?\nAnswer: 1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 163067671061 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12177001 is divided by 842?\nAnswer: 839","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30 and 1493025?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 14, -2\/57, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1402076 and 286.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (81\/54)\/((-2)\/(-3))?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 337470 rounded to the nearest 10000?\nAnswer: 340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 3753286 - 24495*x**2 - 2*x**4 - 3*x**4 - 695*x**3 - 3753286 - 23805*x = 0. Calculate x.\nAnswer: -69, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, d: 1, y: 2, j: 1, t: 2, b: 1}. Give prob of sequence bd.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of p**4\/24 + p**2. Let q = -6782 + 6786. Let h(n) = 2*n + 2. Give q*m(s) - h(s).\nAnswer: 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t - 1270 = t. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (20\/(-25))\/(6\/(-15)). Suppose -5*f = -a*j - 680, 4*j = -5*f + 3*j + 665. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of 115*y**7\/7 - y**6\/2 + 119*y**3\/3 + 2*y - 50. Find the third derivative of n(u) wrt u.\nAnswer: 13800*u**3 - 180*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 11:08 PM?\nAnswer: 11:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111 - 1110001000000001010?\nAnswer: -1110001000000010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {s: 4, n: 7}?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 32*p + 34. Suppose -q - 4*q = -30. Let u(b) be the second derivative of b**3\/2 + 3*b**2\/2 - 16929*b. Calculate q*v(o) - 68*u(o).\nAnswer: -12*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2836 is divided by 304?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 346*b + 28*b + 125*b + 75*b as v + h*b and give h.\nAnswer: 574","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1433131121 (base 5) to base 12.\nAnswer: 1334304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 24 = -4*z, -16*z - 6 = -18*z for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.2+-409545\nAnswer: -409545.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -57823366 - -5?\nAnswer: -57823361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -21*z**3 - 17*z**2 - 14*z + 30. Is f(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + -13. Let p = w + 19. Find the third derivative of -6*v**2 + 0*v + 7*v**p + 0*v wrt v.\nAnswer: 840*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = n - 2*n - 31, 2*n = 3*s + 26. Let f = -458\/59 - -7663\/1770. What is the common denominator of f and 4\/9*134\/s?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 463104463 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14609?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n + 226. Let b be 3\/18 - 3\/18. Let l be y(b). Let o = -154 + l. Does 12 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-50091.\nAnswer: 20036.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of i**6\/180 + i**3\/2 + 2*i**2. Let m(v) be the first derivative of l(v). Let n(q) = 3*q. Determine n(m(c)).\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f**2 - 94*f + 652. Determine w(39).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 31379 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**20*x*x*x*(x*(x**(15\/8)*x)\/x)\/x assuming x is positive.\nAnswer: x**(207\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 PM and 7:03 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 4. Suppose 5*h - 5*c = -55, h = 4*h - c + 33. Let k be 14\/77 - 31\/h. Are i and k nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -9) + -7 - 4 - 8\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 AM and 3:45 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 less than 60.38?\nAnswer: 60.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5*(-3*1 - -2). Suppose 0*o + a*o = 15. Suppose 2*v = o*m - 2*v - 66, m - 12 = -2*v. Solve 3 = 3*w + m for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 5*i + 13. Let g(j) = -7*j - 13. Determine -4*g(a) - 6*p(a).\nAnswer: -2*a - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 + 11\/(11\/30) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33365276, -33365274, -33365272, -33365270, -33365268, -33365266?\nAnswer: -33365264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1444 rounded to the nearest ten?\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.4 + -1.495. Let p = -0.0965 - -0.19053. Let o = q + p. What is o rounded to four dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17562 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tgra when four letters picked without replacement from rrgaggagjjjggjtgasra?\nAnswer: 7\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -40.33452594357 take away 3?\nAnswer: -43.33452594357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 4:11 AM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10370635 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4 (b) -1 (c) 1\/4 (d) 22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v**2. Let m(g) = -3*g**2 + 8. Let r(z) = z**2 - 3. Let j(p) = 3*m(p) + 8*r(p). Calculate j(y(i)).\nAnswer: -4*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 28*n = 92 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 3*h = -302, -2*h = 4*k - 275 - 305. What is the smallest common multiple of k and 2?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 210 = 50*j + 55*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 26\/9*s - 2\/9*s**3 - 10\/9*s**2 - 14\/9 = 0.\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1378 is divided by 237.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-39 + -11 - 0 - -38) + (-6 - 1)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4605255 and 913?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/9 (b) -64\/3 (c) 5.63\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2 - -0.3. Let w = 72 + -69. Let k be 7\/28 - ((-123)\/20 + 6). Which is the closest to p? (a) w (b) k (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -623*k + 6230. Let i be w(10). Solve -10*f + 26*f + 48 = i for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 68, 0.4, 7\/5, -1\/36, -3, -2\/5, 4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.018 * -6\nAnswer: 0.108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*o + 6 = -34*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 33140432?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 305 + 207 + n + 203 + 200 - 915.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**2 + 1609*t - 42510 = 0.\nAnswer: -1635, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14.2, 0.35, -175 in decreasing order.\nAnswer: 0.35, -14.2, -175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 51072 and 5054?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i - 10. Let j be f(-18). Is 2 a factor of (7\/(j\/(-8)) + -3)*-29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lna when three letters picked without replacement from {q: 1, a: 2, n: 1, l: 3, e: 7}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.249*429.\nAnswer: 106.821","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (171\/(-96))\/((-81)\/(-108)) and -17\/11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 30\/13 + -955\/104. Find the common denominator of 133\/18 and f.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, r: 2}. Give prob of picking 1 r and 1 w.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -132285 or -132284?\nAnswer: -132285","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(-1))\/(80\/(-20)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4986)\/(-9972))\/((-2)\/(-2*34)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 20 = -k. Suppose -8*m + 4*m + 5*c = -1, 5*m = -c + 23. Suppose m*g - 7*g - 3*t = -15, 0 = k*g - 5*t - 29. Solve 0 = -4*h - 14 + g for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*p - 85*n + 81*n - 2, -2*p + 12 = -2*n for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of n**5\/15 - 8*n**4\/21 + 8*n**3\/21 + 3*n**2 + 5. Factor a(r).\nAnswer: 4*(r - 2)*(7*r - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 250 and 225.\nAnswer: 2250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*p - 5*g - 13, 210*p = 208*p + 5*g + 17 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 136262707033 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 3 - ((1 - 49) + (671 - 655))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 3:58 AM?\nAnswer: 4:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1536, 1533, 1536, 1551, 1584, 1641?\n\"Answer: i**3 - 3*i**2 - i + 1539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 277394706?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + -1*sqrt(98)*6 + -2 + (sqrt(98) - (3 + sqrt(98))) + sqrt(98))*5)**2*-1 + 4.\nAnswer: -62846 - 14000*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 735 and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + 1c1?\nAnswer: 1c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/32*-1*-10.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2310 and 570?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -77*u + 75*u - 2*r, -3*u + 3*r = -27. Let y be (-3 + 3)*(-2)\/u. Which is smaller: y or -8\/83?\nAnswer: -8\/83","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + 1 + (5 - 5). Let y(v) = -6*v**o + 3*v - 11*v**2 + v**3 - 8 + 24*v**2. What is y(-6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k - 149. Let l(f) = -3*f + 299. Let v(c) = -5*i(c) - 3*l(c). Let w be v(35). Let m = -9 + -1. Which is bigger: m or w?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-3*(sqrt(108) + 0) - (sqrt(108) + (sqrt(108) - (0 + sqrt(108) - sqrt(108))*2)**2)) + -4 + ((-5 + sqrt(108)*3)**2 - (1 + sqrt(108) + -5))).\nAnswer: -2667 + 630*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*r**4 + r**5 + 5*r**4 + (-r**5 + 4*r**5 - r**5)*(-4 + 1 - 1).\nAnswer: -7*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -2.5. Let a = 18 - 13. What is the second smallest value in 3\/4, h, a?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*x = 41*x + 170. Let y(u) = 2*u - 36. Let p be y(x). Calculate the highest common divisor of 24 and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -69, 5 in increasing order.\nAnswer: -69, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 195214, 389402, 583590, 777778, 971966, 1166154?\nAnswer: 1360342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 98149062 and 198?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 - 32*f**2 + 115*f - 88. Determine z(28).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*n**4 + 1 + 3*n**3 + 3*n**2 - n - 6 + 1 - n**4 to f + k*n**2 + r*n**3 + b*n**4 + t*n and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(-3)*(-733494)\/(-39802).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -501\/14 + 71\/2. What is the nearest to h in 3, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -216 - -228. Suppose d - 14559997 = -2*g, -9*d - 29119991 = -4*g - v*d. Round g to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -219365, -219294, -219173, -219002, -218781, -218510?\n\"Answer: 25*s**2 - 4*s - 219386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen sixths of a year in months?\nAnswer: 34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 5 = -27. Solve 0*z - 3*z + 4*l - u = 0, 3*z + 2 = -2*l for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -8, r - 5*r - 1320008 = 4*c. Let g be c\/12*-4*3. Let n be g\/5 + 8\/20. Round n to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/((-70)\/49) + 2\/(-1). Let n = -50 + 47. Put -5, y, -1, n in decreasing order.\nAnswer: y, -1, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f**2 + 2*f**2 + 8 + 2*f**2.\nAnswer: 3*f**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 7*c**2 + 213*c - 23. What is d(-27)?\nAnswer: -671","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*q + s - 19, -77*q + 78*q + 16 = 4*s for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 19384075?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 705 = -5*u, 3*u = 5*u. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45555735 is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 less than 0.181?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 6, 15, 1.\nAnswer: 0, 1, 6, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.3748 to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000000498 rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 199\nAnswer: -4\/199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 - 2) + (-1239 - -1233) + (0 - -6).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u**(-6)\/u))\/u)**(-3\/22))**(-3\/2) assuming u is positive.\nAnswer: u**(63\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0\/((-6)\/4*(-4)\/3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 - 10*i - 19. Suppose 2*q + s - 131 = q, 5*s + 25 = 0. Let v = 131 - q. Let w be o(v). Let g(l) = l - 9. Determine g(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/5, 0.2, 5\/28, -5, 0.3 in ascending order.\nAnswer: -5, -6\/5, 5\/28, 0.2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1816586 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 3095.78 to the nearest 10.\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of 2 + 1\/2*u**4 + 0*u**2 + 0*u + 1\/3*u**3 + 1\/5*u**5. Factor t(p).\nAnswer: p**2*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-11 - (-13 + (-9 - -15))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 1, 459?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*c**2 - 7 + 37 - 4*c**2 + 38*c**3 - 27 wrt c?\nAnswer: 228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (249\/448 - 1) + (3\/(-84))\/(43\/(-516)).\nAnswer: -1\/64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -198 (base 10) to base 16.\nAnswer: -c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in fifty-four fifths of a millisecond?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 95749 and 144257.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 + -17. Suppose 4*q - 35 = -2*h - 1, -2*q + b = -h. Suppose -3*j = -h*j + 16. Solve 4*l - 13 = c + 3, c - l = -j for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -714883, -1429766, -2144651, -2859538, -3574427, -4289318, -5004211?\nAnswer: -5719106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 7*c - 19. Let b be z(3). Suppose b*u - 452 = j - 3*j, -8 = 4*u. What are the prime factors of j?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 + 7. Is q a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-9454.\nAnswer: 37816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3182 and 137342.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/70280 and -157\/42.\nAnswer: 210840","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 204*o - 199*o - 51007 - 36588. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + c - 41 = 4*u, -21*u - 56 = -17*u for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6.2 + -3.2. Let c = 13 + -12.5. Put g, -3, c, -5 in decreasing order.\nAnswer: g, c, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -0.3, -1, 1.95, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 71667?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -176*t**3 - 4*t**2 + 56. Let a(v) = 59*v**3 + 2*v**2 - 20. Determine -14*a(c) - 5*q(c).\nAnswer: 54*c**3 - 8*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 78592 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 0.012512365 minus 0.1?\nAnswer: -0.087487635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 796 divided by -118340.\nAnswer: -199\/29585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 358398510.\nAnswer: 2, 3, 5, 79, 97, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21455339 is divided by 21455337.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23182924.15 + 5.421.\nAnswer: -23182918.729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 f when three letters picked without replacement from {q: 2, f: 3}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8146*u**4 + 23*u**2 - 25 wrt u?\nAnswer: 195504*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -11201100022222 (base 3) to base 5\nAnswer: -1120202134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.56 - -0.06. Let p = -0.25 - -0.05. What is the biggest value in p, v, -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6507417.3 + -4329.\nAnswer: 6503088.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/4)\/(1\/2). List the prime factors of 3\/(-1) + z*9.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, h: 3, c: 1}. Give prob of picking 1 h and 1 l.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9932 and 520284?\nAnswer: 764","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 10 = 3*j + 5*g, 4*j - 11 = g for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q**3 + q + 3. Let s(w) = -w**3 - 2*w - 2. Calculate -2*h(a) - 3*s(a).\nAnswer: -a**3 + 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88455232.\nAnswer: 2, 1382113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (54\/40)\/(112\/((-8960)\/48))?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 388 is divided by 73?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*o**5 - 2132*o**4 - 10940*o**3 - 4700*o**2 + 22344*o - 4608 = 0.\nAnswer: -3, 2\/9, 1, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -2*x + 108, -5*v - 169 = -5*x + 151. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6042*l - 24 + 12295*l - 6098*l to v + u*l and give u.\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, 4\/5, -0.4, 1\/2, 2.5473 in descending order.\nAnswer: 4, 2.5473, 2, 4\/5, 1\/2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 3*l. Let i be ((-47)\/(-282))\/((-2)\/(-24)). Let o(d) = -12 + 3 + i*d - 3*d + 4. Determine y(o(x)).\nAnswer: -3*x - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50062*w + 50079*w - 47 = -2*c, -3*w = 3*c - 3 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, -22, 5 in descending order.\nAnswer: 5, 4, -3, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -884, -885, -888, -893, -900?\n\"Answer: -k**2 + 2*k - 885","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of 2*y**5\/5 + 7*y**4\/3 + 2*y**3 - 20*y. Find i such that x(i) = 0.\nAnswer: -3, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -4 (b) 1\/3 (c) 6 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 s when three letters picked without replacement from uuuspuss?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 24550000 rounded to the nearest 1000000?\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 231\/42 - (-2)\/(-4). Suppose r*z + 3*a - 44 = 22, 5*z - a = 58. What is the remainder when 66 is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 7 + 27 = 0. Let i be 5600\/3*525\/l. Round i to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 1188*k**2 + 19*k - 24. Let m(i) = 297*i**2 + 5*i - 6. Let l(a) = 11*m(a) - 3*o(a). Let j(d) = -d. Calculate l(j(s)).\nAnswer: -297*s**2 + 2*s + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 + 16*s. Let m be u(16). Suppose m = 11*z - 6*z + 3123210. Let p = 374642 + z. What is p rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {m: 9, x: 10}?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 16 - 48. Let k = b + -10. Let a(o) = 2*o**2 - 9*o + 6. Calculate the remainder when a(7) is divided by k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 2:55 PM?\nAnswer: 6:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of -7*q**4\/12 - 4*q**2 - 2. Let u(b) = -17*b + 36186 - 36186. Give c(u(h)).\nAnswer: 238*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - 5*r + (-4 - 4 + 6)*(0*r + 2*r - r) - 2*r + 2*r + r - 3*r - 3*r + 5*r + (-2*r + 4*r - 3*r)*(-3 + 3 + 2) + 7*r - r + 0*r + 29 - 29 - 10*r.\nAnswer: -13*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -44 - -59. Is (2 - 38795\/c)\/(1\/(-3)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2405*i + 671394*i**2 - 13 + 2405*i + 13.\nAnswer: 671394*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 19.8 times -6\nAnswer: -118.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6440384?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nxxnnnnnnxxnnnnxnnx. What is prob of sequence xn?\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 PM and 12:21 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 11*i**2 + 4*i + 2. Suppose 2*n - 2 = n. Let g(x) = x - 3*x - 3*x**2 - 1 - 2*x**n. Calculate -9*g(t) - 4*o(t).\nAnswer: t**2 + 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 156 - 621\/4. Suppose -2*r + 4 = 0, 0*z - z - r + 86 = 0. Let w = -89 + z. Which is the second biggest value? (a) w (b) q (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7*((-80)\/84)\/10)\/((-79)\/10428)?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (42\/15)\/((-96)\/(-60))*16*234\/1456\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 16. Let j = h + 12. Does 9 divide (2 + -3)\/(j\/(-68))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 48 = -3*s + 18, 0 = 5*k - s + 20 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((1 + sqrt(117))**2 + sqrt(117)) + 1*sqrt(117) + -3.\nAnswer: -121 - 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 - 2 + 3)*(0 + 0 + 2*j) - j + 2*j - 3*j - j + 4*j - j)*((-4 + 5 - 3)*(1 + 0 + 0) - 1 + 3 - 4).\nAnswer: 16*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of -2 - 1\/3*o**3 + 0*o + 0*o**2. Let t(z) = -3*z. Calculate t(r(s)).\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2096, 2100, 2106, 2114, 2124, 2136, 2150?\nAnswer: 2166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -684*q + 1227 - 1227.\nAnswer: -684*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -24 + -49 + (186 - 63)\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79419824 is divided by 38?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3555 and 105.\nAnswer: 24885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + -13 - -3) + (-4 - -9).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -273 divided by -91\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 + 4 = -v. Let s = 21 - v. Which is the third biggest value? (a) -1 (b) s (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-4)*3\/(-15)*1.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -57.89807 to the nearest integer.\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 73699.21km?\nAnswer: 73699210000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 4*g - 1396 = -444, -5*d = -3*g - 2373. List the prime factors of d.\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 73 + -51. Let y = -1640 + 1658. Calculate the smallest common multiple of y and h.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 - 97*w**2 - 96*w + 43. Give u(98).\nAnswer: 239","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 3*v = -423, -2*z + v = 2*v - 288. Let a = -47 + z. Is a a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 474 divide 2922684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -3*p**2 - 68165*p - 2993453. Give w(-44).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 113, 0.008, -4\/3, -5, 44 in decreasing order.\nAnswer: 113, 44, 0.008, -4\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1\/405, 0, 118\/13 in descending order.\nAnswer: 118\/13, 1\/405, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2658 - 1705 = 116*o - 2179 for o.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j + 2. Let z(q) = -q - 19. Let k be z(-21). Let m(g) be the third derivative of 0*g + 0 - g**2 + 1\/3*g**3. Calculate k*l(p) - 3*m(p).\nAnswer: 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2608695448 to the nearest integer?\nAnswer: 1377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 204 and 1668?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -284 (base 13) to base 9\nAnswer: -545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -469 + 684. Is 20 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of 4*k**3\/21 + 6*k**2\/7 - 16*k\/7 + 18. Determine i so that c(i) = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157 is divided by 21.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -2. Let a = c + 10. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*f**2*h**3*v + 2*f**2*h*p*v + 18*f*p*v + 5*h**3*p*v + 2*h**3*p - h**2*v - h*p*v + p*v wrt h?\nAnswer: 18*f**2*v + 30*p*v + 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -272*l**2*n - l**2 + l*n - 1342*l + 9*n wrt n.\nAnswer: -272*l**2 + l + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 59084?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 30*p - 37. Let r(z) = 17*z - 20. Let c(k) = -4*d(k) + 7*r(k). Let o = -15 - -9. Let x be 4\/(-10) + o\/(-15). Determine c(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2072 is divided by 257.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -3*w**2 - 4*w. Let l(h) = 7*h**2 + 9*h. Let r = 19 + -10. Let i(v) = r*j(v) + 4*l(v). Let t(g) = 22*g - 12410 + 12410. Determine i(t(n)).\nAnswer: 484*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.34361429 rounded to one decimal place?\nAnswer: 10.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j = 865 - 881. Find v, given that 3532*v**j - 90 - 1769*v**2 - 1766*v**2 - 51*v = 0.\nAnswer: -15, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 - 19*r**2 - 28*r + 31. What is the remainder when 612 is divided by d(21)?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 46 = -3*o + 2*k, 0 = 2*o + 5*k - 5. Suppose s = -s + o. Let f(i) = -i**2 + 4*i + 4. Let q be f(s). Let l(w) = -4*w**2. What is l(q)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -1349\nAnswer: -134.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 85 and 55?\nAnswer: 935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 - 5*p**2 + 8. Let w be r(6). What is the common denominator of w\/(-16)*3 - 0 and -87\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (-1 - (-6 - -4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1000 (base 7) to base 8\nAnswer: -527","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (7 + -11 + 5)*(-1 - -1)\/1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 41 - 28. Suppose 14*y - 15*y + 8 = -2*q, 4*y - 4 = q. What is the nearest to -1 in y, i, -4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 803 - 781. What is the highest common factor of 374 and l?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccccbbbcc. Give prob of picking 3 b.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2947 + 25490 - 186989 = -2152*j + 84624 for j.\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*y**2 - 2*y**4 + 3*y**2 + (y**2 + y**2 - 2*y**3 + y**3)*(71*y + 77 - 77) + (3 - 7 + 1)*(-3*y**4 + y**4 + 4*y**4).\nAnswer: -79*y**4 + 142*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 260\/12 - 2\/3. Suppose 0*q - 3*q = -z. Suppose 9 = c - q. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, h: 1}. Give prob of sequence hbb.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16 - -16.0000048. Let k = -1 - -1. Let o = a - k. What is o rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.5 (b) -0.0189 (c) -1 (d) 1\/4 (e) -130\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 4*g + 16, -5*w - 8 = -0*w + 2*g. Suppose 0 = b - 6*b + 15. Let a = b - w. Is 3 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18391 is divided by 18321?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 16*s**4 - 628*s**3 + 67514*s**2 - 3375014*s + 63281250. Let v(i) = i**4 - 2*i**3 + i**2 - i. Let b(a) = 2*r(a) - 28*v(a). Factor b(m).\nAnswer: 4*(m - 75)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30 + 50. Suppose 4*y = -62 + 782. What is the greatest common factor of p and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -30, -5, 48, 135, 262?\n\"Answer: x**3 + 8*x**2 - 6*x - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12350 - -12354. Solve 5*t - 9 - 13 = l*j, -6*j = 18 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1065947*p**2 + 20 - 2131886*p**2 + 1065942*p**2 - 48 + 28.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 223*p - 191?\nAnswer: 223","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.099945 + -2.1. Round l to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/35 and -73\/10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 63403 and 149131?\nAnswer: 893","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 13, -11\/3, 15\/2, 2, 1\/2, -16?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**12\/k*k**(-2\/19)*k)**19*(k**2)**(3\/32)*k*k**(-4)*k*k**4 assuming k is positive.\nAnswer: k**(3651\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3 bigger than -1249?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)\/sqrt(176) + (sqrt(3) - (sqrt(36)\/sqrt(3))\/sqrt(4)))**2.\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 234 divide 7813322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/1320 and -67\/20?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a + 3*a**3 + a + (2*a**2 + 3*a**2 - 3*a**2)*(5*a + 0*a - 3*a).\nAnswer: 7*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 n when two letters picked without replacement from {h: 1, n: 3, e: 3}.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 - 6\/2) + 3. Suppose 92 = 2*w - u*q, -q = q - 4. Suppose 2*p - 36 = -2*f - 0*p, -2*f = 3*p - 37. Calculate the remainder when w is divided by f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -418, -414, -410, -406?\nAnswer: -402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 - 345184*r - 6558139. Calculate u(-19).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1.12 times 0.3\nAnswer: 0.336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 10*d**3 + 3 + 8*d**3.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 13*t**3 + 2*t**2 - 4*t + 3. Let l be c(1). Let v(j) = 21*j + 1. Let z be v(9). What is the second derivative of -18*o**2 - 190 + z + l*o wrt o?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 b, 1 p, and 1 i when four letters picked without replacement from {r: 4, p: 1, l: 1, b: 1, v: 3, i: 2}.\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -184*a**3 - 229*a**2 - 225*a + 4. What is b(-1)?\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -8*n + 3. Let u(t) = -25*t + 8. Let h(d) = 7*m(d) - 2*u(d). Let g(i) = -11*i + 9. What is 3*g(k) - 5*h(k)?\nAnswer: -3*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 24\/(-64) + (-129)\/(-24)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -16*(1224\/(-64) - -19). Sort -4, 0, b, -3, 38.\nAnswer: -4, -3, 0, b, 38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 907?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 59.49933 centuries in years?\nAnswer: 5949.933","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 337585138 - 0?\nAnswer: 337585138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - 0. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 9:04 PM?\nAnswer: 12:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 7*i**2 - 60*i + 8. Let k(v) = 9*v**2 - 78*v + 10. Let z(n) = -10*k(n) + 13*p(n). Let r(m) = 3. Suppose 24 = 5*c + 9. What is c*z(x) - 4*r(x)?\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 103\/1236 - (-4)\/(336\/(-3031)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15493479 by 3391.\nAnswer: 4569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -117*r**2\/4 - 5739*r\/4 - 147\/2 = 0.\nAnswer: -49, -2\/39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65021048 divided by 5.\nAnswer: -65021048\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, 19, -5 in descending order.\nAnswer: 19, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 3, 2*m + 0*k - 2*k = 4. Let s(z) = -7 + 7 + z. Suppose 7*y - 3*y = 4*c + 32, -5*y + 38 = -4*c. Let i(h) = -2*h**2 + 8*h. Calculate m*i(d) + y*s(d).\nAnswer: 2*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 64, 268, 600, 1054, 1624, 2304?\nAnswer: 3088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 0.1 = 1472\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 + 27. Suppose 1575 = -6*z + n*z. Suppose -5*u + z = -3*o, -5*u = 2*o + 27 - 367. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-9))\/(-15*(-21)\/(-630)).\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 39303451 to the power of 1\/3, to the nearest integer?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(165)\/sqrt(5))\/sqrt(3) + sqrt(33)\/(sqrt(6)\/sqrt(2)) + 2)**2 + (-6*sqrt(66)*-2 - sqrt(66))\/(sqrt(6) - sqrt(216)*-2)*-2.\nAnswer: 82*sqrt(11)\/13 + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*q**3 - 170*q - 175*q + 345*q.\nAnswer: -16*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4855 + 4855. What is l in -1\/9*l**2 + k + 4\/9*l**5 + 0*l + 2\/3*l**3 - l**4 = 0?\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56187, 56185, 56183?\nAnswer: 56181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 + 17*r**2 - 38*r - 44. Let s be u(14). Solve 3*y + 2 = 2*z, 2*y + 0*y = 4*z + s for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/19)\/z)**(3\/14)*z\/((z*z**(-2\/41)*z*z)\/z*z*z)*z**(-6\/13)\/z assuming z is positive.\nAnswer: z**(-652815\/141778)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7\/32 + 155\/416. Let x = -122 + 130. Suppose x*a + 3*a + 11 = 0. Is d less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136576028.\nAnswer: 2, 17, 19, 37, 2857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3320\/9 + -6631\/18. Let w = 0 - 0.2. What is the second smallest value in j, 0, -2.1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of -x**3\/3 - x**2\/2 + x + 1. Suppose 5*y - 66 = -56. Suppose 241*q = 239*q + y. Calculate n(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -14 + 36227414?\nAnswer: 36227400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0, -52.46, -3\/8, 2?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -534 by -2.\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -99, -168, -349, -696, -1263, -2104, -3273, -4824?\n\"Answer: -9*x**3 - 2*x**2 - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5, 90, 249, 478, 783?\n\"Answer: x**3 + 26*x**2 + 10*x - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.14 in 6, -4, 3130?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-44)\/((-1100)\/75))\/((74\/3)\/((-60)\/(-135)))\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2229145435?\nAnswer: 5, 11, 40529917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 72 by 36.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 172880.47 to the nearest 10.\nAnswer: 172880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c**4 + c**4 - c**4 + (-5 + 3*c + 5 - c - 4 + 4 + (-2 - c + 2)*(-5 + 4 + 2) - 2*c - 1 + 1)*(c - c - 2*c**3).\nAnswer: -c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 228 and 152?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 172083?\nAnswer: 3, 19, 3019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 165\/21 - ((-240)\/35)\/(-8). Solve o*r = 3*r - d + 12, r = -d + 3 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 6*i - 5. Let p be -6*(1 - 6\/4). Let x be 6\/p - (-2 + i). Solve x*v = j - 15, -7 = 2*v + j - 2 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -0.37, -4, -0.0139.\nAnswer: -4, -0.37, -0.0139, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3125563459?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 5267*m - 1634. List the prime factors of o(7).\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2523323, -2523314, -2523301, -2523278, -2523239?\n\"Answer: f**3 - 4*f**2 + 14*f - 2523334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1211124?\nAnswer: 2, 3, 100927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 4:01 PM?\nAnswer: 11:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + 5. Let l = y - 5. Let a be (-4)\/24*(0 + l). What is the nearest to -2\/3 in -4, 1\/9, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 159 = -6*m, 3*w + 27*m - 463 = 23*m. Calculate the remainder when 245 is divided by w.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - 557?\nAnswer: -556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*a**3 - 5*a - 7*a**3 + 8*a**3 wrt a.\nAnswer: 36*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 2 = -2*d. Suppose 0*s = -k - d*s + 54, 0 = 5*s - 25. Calculate the greatest common divisor of k and 352.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25*c**3 - 140919*c**2 + 830132*c wrt c.\nAnswer: 150*c - 281838","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*v - 6*c + 3*c + 15, 4*c - 20 = 5*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 294.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggm when three letters picked without replacement from gmmgm?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -544, -978, -1300, -1510, -1608, -1594, -1468?\n\"Answer: 56*d**2 - 602*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-9) - 231\/1890\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*i - 62 - 106. Suppose -2*t - 2 = -8. Suppose -i*k + 9 - t = 0. Let g(l) = -l**3 - l**2. Let j(b) = 5*b**3 + 4*b**2. Give k*j(p) + 6*g(p).\nAnswer: -p**3 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -3*s + 8. Let d(m) = 1. Let q(x) = c(x) - 4*d(x). Calculate q(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 8*d**2 + 103*d - 11. Let h be q(-13). Solve -4*a + 3 = -5*v + 5, -4*a - h*v + 12 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9178*a - 9160*a - 9103*a + 27439*a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 80*h + 87. What is the units digit of m(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 27\/2 of a minute?\nAnswer: 810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25661168?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4 - 13) + (-27)\/(-3). Let c(d) = d**3 - d**2 - d + 6. Determine c(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.09809 millilitres in litres?\nAnswer: 0.00209809","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5285887 and 81339180.\nAnswer: 76053293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -295 - -271. Let d(k) = -19*k - 20. What are the prime factors of d(m)?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2074 + -1382. Suppose 568 = -b*k + 700*k. Calculate the remainder when k is divided by (-2)\/2*1*-19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15602464895.00000087 + 15602464821. Let q = m + 74. Round q to 7 dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4638577, -4638579, -4638571, -4638547, -4638501, -4638427, -4638319, -4638171?\n\"Answer: z**3 - z**2 - 6*z - 4638571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11985 and 21573.\nAnswer: 107865","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60 divided by -3302832.\nAnswer: 5\/275236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 448397 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 110753 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1346*u**4 + 2784*u**3 + 2*u**2 + 30*u - 95139?\nAnswer: -16152*u**2 + 16704*u + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -9. Let q be (-3 - 4*(-3)\/(-4))*-2. Solve q = d*x - s, s = 6*s + 20 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/8 and -9\/62?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -6, -10, -18, -30, -46, -66?\n\"Answer: -2*b**2 + 2*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -216 + 55. Let i = g + 326. Calculate the greatest common factor of i and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2003321003 + -4?\nAnswer: -2003321011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-4 + (768\/40)\/1)\/((-12)\/(-9930))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 98.2 + -0.5\nAnswer: 97.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - -212211?\nAnswer: 212222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 29*k - 235. Let x be j(8). Which is the second biggest value? (a) 5 (b) 21 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (15\/(-8))\/((-10)\/(-20)) and (84\/(-16))\/((-3)\/(-5)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 218973*p**4 + 123318*p**2 wrt p?\nAnswer: 5255352*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19721.\nAnswer: 13, 37, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1806 + -706. Is d a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 = -4*u - 3*n - 2*n, 2*n = 2*u - 50. Is 8 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 x, and 1 b when three letters picked without replacement from xtppb.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 4*z**2. Let f(t) = 3*t**2 + 5*t - 5. Let w(c) be the first derivative of -4*c**3\/3 - 4*c**2 + 8*c + 8. Let k(v) = 8*f(v) + 5*w(v). Determine k(d(a)).\nAnswer: 64*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76918.35 months to millennia.\nAnswer: 6.4098625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**2 + 2*b**2 - 3*b**2)*(-14 + 6 - 729*b**3 + 764*b**3).\nAnswer: -35*b**5 + 8*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -15.56 and -142126?\nAnswer: 142110.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**2 - 2*y**2 + 3*y**2)*(1710 - 1710 + 126*y) - y + y - 4*y**3 + (-7*y**2 + 2*y**2 + 3*y**2)*(-y + 4*y - y) + 2*y**3 + 3*y**2 - 3*y**2.\nAnswer: -132*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 9*r**4 - 8*r**2 + 8*r + 69. Let g(a) = 3*a**4 - 3*a**2 + 3*a + 23. Let q(d) = -8*g(d) + 3*o(d). Differentiate q(w) with respect to w.\nAnswer: 12*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 287 - 284. Find the third derivative of 25*p**2 + 989*p**w + 928*p**3 - 2001*p**3 - 89*p**2 wrt p.\nAnswer: -504","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93597 divided by -13?\nAnswer: -93597\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c\/(c*c**(1\/8)*c))*c*(c\/(((c*(c\/(c*(((c**(7\/4)\/c)\/c)\/c*c)\/c*c))\/c)\/c)\/c))\/c)**20 assuming c is positive.\nAnswer: c**(155\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ikgkgiggkmiiimiii. Give prob of sequence mgm.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 2 - 2)*(3*c**4 - 2*c**4 - 2*c**4) + 5*c**4 + 0*c**4 - 3*c**4 + (0*c**2 + 2*c**2 + 0*c**2)*(-48*c**2 - 969 + 969))*(1 - 3 + 3)*(-5*c + 2*c + 0*c).\nAnswer: 276*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, 2, -29, -1 in descending order.\nAnswer: 3, 2, -1, -3, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gnng. What is prob of picking 2 g?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1628\/(-2442))\/(40\/12).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15.3 + 10.74. Let d = -0.16 - q. Let g = d + -4.39792. What is g rounded to 4 dps?\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -2. Let l(m) = 9*m**2 - 83 + 111 - 73 + m**3 - 5*m. Let p be l(-9). Sort 1, p, o in increasing order.\nAnswer: o, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 125 + 285?\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*o - 21*o + 6 = 0, 5*o = -5*t + 15 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -717 - -1014. What is the greatest common divisor of 33 and w?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/29 (b) -0.5 (c) -5713\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28858870 is divided by 114.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 n when three letters picked without replacement from {w: 7, u: 2, n: 2}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -263 = o - 5*o - 5*c, 0 = 5*o + 5*c - 330. What is the remainder when o is divided by ((-3)\/6)\/((-2)\/68)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -3*f + 2 - 11, 9 = 4*i - 3*f. Suppose -c = -0*c - 4*b - 13, -4*c = 3*b - 33. Solve -5*l - k + c = -4, i = -2*l - 2*k + 2 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeds when four letters picked without replacement from {e: 3, d: 5, s: 4}.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/(-5))\/((-58)\/(-145)). Is -1\/18 > d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3229428231?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2727409?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 52352192 divided by -3272012\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 173, 133, 69, -13, -107, -207, -307?\nAnswer: -401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - 2*x + 2*x)*(109 + 290*x + 548 - 288*x).\nAnswer: 2*x**2 + 657*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c - 3. Let z be w(10). Solve 0 = -4*s, -z*r + 3*s - 20 = -3*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/6 + 8*i**2\/3 - 55*i\/6 + 19\/3.\nAnswer: (i - 2)*(i - 1)*(i + 19)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = -3*s + 25 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7 and -2240.\nAnswer: 15680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 484 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 719\/234 + -71\/13. Let m = -95 - -53. Find the common denominator of (-2)\/10 - m\/(-4) and l.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 - 11*r - 12. Let n be u(12). Suppose n = -c - c + 56. What is the remainder when 79 - (-2 + 0 - 1) is divided by c?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by -62621?\nAnswer: 8\/62621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/4735 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -75 by 24.\nAnswer: -25\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 473 - 278. Does 15 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.243 - -0.057. Let d = -4.5 + s. Suppose -8 = 4*a + 4*z, 3*z + 11 = -0*a - 4*a. Put 5, a, d in increasing order.\nAnswer: a, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 350586202?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 204 = -t, 4*m - t = -4*t + 172. What are the prime factors of m\/18 - 6\/27?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 - g + 16. Let t(x) = -x**3 + 2*x**2 - 46*x + 92. Let w be t(2). What is z(w)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13536 divided by 72?\nAnswer: -188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-36))\/((-8)\/(-20912)). Let l = r - -145. Let y be 2\/(-5) + 7\/5. Which is smaller: l or y?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 3*d**2 + 112*d - 426. What is a(-41)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 4*j**2 - 53*j**3 - 1 + 52*j**3 + j**2 - 2*j**2 + 3*j. Calculate x(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -147 - -153. Let x = 9 - 4. Which is greater: x or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wekeqjesesjjsqw. What is prob of sequence sq?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-7) + (-1409)\/7. Let j = w - -297. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1949 + 25*f - 1949 - 219*f.\nAnswer: -194*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27585, -55174, -82763?\nAnswer: -110352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 8 = -2, -65 = -3*j + h. Suppose -2*v + 24 = -o, 0*v - 2*v + 2*o = -j. Solve 4*s = -d + 3*d - v, 4*s - 3*d = -13 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/2510263 and 107\/42?\nAnswer: 15061578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7706904 * 4.\nAnswer: -30827616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6\/7*j**4 - 6\/7*j**2 + 6\/7*j - 6\/7*j**3 + 0.\nAnswer: 6*j*(j - 1)**2*(j + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/5 of a century in years?\nAnswer: 980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - -650?\nAnswer: 652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 427864148 divided by -213932074\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1297?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 4*w + 175 = -9*w, 2 = -2*w. Let g = 77 + -77. Let k(b) = -3*b**2 - b + 272. Let v be k(g). What is the highest common factor of v and n?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 + 10*l + 13. Let h be n(11). Suppose -i = 2, -h*i - 3 = -k - 1. Let q = 1.7 - -0.3. Sort q, -0.1, k in ascending order.\nAnswer: k, -0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 45358 = 64637 - 9545. What are the prime factors of v?\nAnswer: 2, 5, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 5, e: 5}. What is prob of picking 4 e?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-210)\/(-10)*(-24)\/(-14). Solve -2*j + 25 = 3*j + r, -a = -4*j - 4*r for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1072724621?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1284 is divided by 115.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -13978014 from 0.07.\nAnswer: 13978014.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3*q + 1 = 0, t - 1 = q + 4. Suppose -t*w = -w - 48. Let g = -7 + w. Solve -2*i - g = 1 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 80\/4737 - 364453\/2226390. What is the common denominator of -71\/2 and d?\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 6 + 42*d + 76*d + 26*d + 1.\nAnswer: 144*d - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 36294643757 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 PM and 5:12 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22 and 20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 39781 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/((-165)\/(-6310200)) - 9 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 43 (b) 0.2 (c) -0.3 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = -3*s - 14*g + 9*g, 2*s + 4*g = -30 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*i + 2616 = 41*i. Is 35 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 69, -0.1, 3, 2 in descending order.\nAnswer: 69, 3, 2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/35832 and 121\/24.\nAnswer: 35832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4944, -18185, -40250, -71139?\nAnswer: -110852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_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: Calculate prob of picking 1 x and 1 h when two letters picked without replacement from {h: 1, p: 2, x: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 5*v - 8. Suppose -15 = -m + 2*m + 5*l, v*l = -3*m - 110. Let d = -37 - m. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 212598087?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 3*c - 4*a + 25194 = 0, -3*a + 25191 = 3*c. Suppose -s + c = 2221. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -3*a + 24965, -10758 = -a - 4*v - 2469. List the prime factors of a.\nAnswer: 8317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -121 (base 13) in base 2?\nAnswer: -11000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nntppttnpnpxttt. Give prob of sequence pt.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2091 - -2092. Solve 71*y = 72*y + l for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 - 19.9. Which is the biggest value? (a) 4 (b) -3\/7 (c) w (d) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78906740?\nAnswer: 2, 5, 11, 358667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*l = 8*l. Let a = 72 + -212\/3. Which is smaller: a or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 + 4*o**2 + 2*o + 22. Is u(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 4 + 2)*(-20 + 5 + 20)*(-1 + 1 + 1)*(-2*g + 5*g + 14*g + 17*g).\nAnswer: -1530*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = 8*x + 732*f - 729*f - 57, -4*f = -10*x + 5*x + 48 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.0321 or -2046?\nAnswer: -2046","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -35, -2, 85 in increasing order.\nAnswer: -35, -2, 5, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32\/(-3))\/(-8)*9\/90*-3.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**3 - 2*u**3 - 5*u**3 + (-3*u**3 + u**3 + 5*u**3)*(-1 - 2 + 4) + 3*u**2 - u**3 - 2*u**3 + u**3.\nAnswer: -5*u**3 + 3*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*n**3 - 5*n**3 + 3*n**5 + n**5 - 5*n - 1 + 0*n**5 wrt n.\nAnswer: 80*n**3 - 18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**5\/11 - 17626*i**4\/11 + 141100*i**3\/11 - 317556*i**2\/11 + 54*i\/11 + 476334\/11 = 0. What is i?\nAnswer: -8821, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -106 + 106.1. Which is the nearest to z? (a) -5\/2 (b) -1\/47 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 33, 0.8, -19, -6, 8\/9 in descending order.\nAnswer: 33, 8\/9, 0.8, -6, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -58 + (5 + -1 - (0 + 41 + -19)).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3537, 7045, 10467, 13761, 16885, 19797, 22455?\nAnswer: 24817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/7 - 23\/63. Let k = -1\/127 + -62\/8255. Let z = -8.284 + 11.284. Sort k, z, o in decreasing order.\nAnswer: z, k, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 + 203*b**2 - 8080*b + 744. Determine r(34).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 135\/75 - (12\/(-2))\/30. Let c(b) = -17*b**2 + 3*b - 1. What is c(u)?\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7895 or -7873?\nAnswer: -7895","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 55152 and 19944?\nAnswer: 15277104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 580264?\nAnswer: 2, 72533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1124551 (base 7) to base 9\nAnswer: -234257","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 16a + -169?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2854350 to the power of 1\/2, to the nearest integer?\nAnswer: 1689","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -6314 divided by 7\nAnswer: -902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -149 + 248. What is the greatest common divisor of f and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llv when three letters picked without replacement from rrlrruullllllrvrr?\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 50 + -45. What is the lowest common multiple of 2 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = l - 1608, 1851 = 5*l + 5*q - 6229. Round l to the nearest 100.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59141 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-3\/10)*n)\/(n*n\/(((n\/n**(4\/5)*n)\/n)\/n)*n))**(-15)\/((n**0*n*n)**4\/(n**2\/(n*n**(-5)*n))) assuming n is positive.\nAnswer: n**(39\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -0*o + 12, 0 = d - 3*o + 15. Does 7 divide (-130)\/d + 20\/(-30)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of 1\/12*r**4 + 1\/2*r**2 + 0 + 0*r**3 + 2*r. Give u(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4933, -19811, -44621, -79363, -124037?\n\"Answer: -4966*t**2 + 20*t + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -658, 9, 3, -23, 0, -4 in descending order.\nAnswer: 9, 3, 0, -4, -23, -658","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 15093 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m. Let z = -8 - -5. Suppose 8*s = 3*s - 5. Let u(i) = 17 + 5*i + 20 - 38. Calculate s*u(g) + z*d(g).\nAnswer: -2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gppuppu. Give prob of picking 3 p.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of x**7\/630 + x**6\/120 + x**5\/60 + x**4\/72 + x**2\/2 + 3*x. Let v(b) be the first derivative of z(b). Factor v(i).\nAnswer: i*(i + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -89, -94, -103, -116?\nAnswer: -133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 22287.68 centuries?\nAnswer: 26745216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 92445?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) -4516 (c) 6\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d - 2*d + 2*d - 4*d.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 16333464 divided by -35819?\nAnswer: -456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of j**5\/20 - j**4\/3 + j**3\/3 + j**2\/2 + 4*j. Let w be z(4). Let v = 19 - w. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + -1110?\nAnswer: -1121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000011288227 rounded to 6 dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*b = 1602 + 1338 for b.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*p + 3*t = -184, 2*p - 4*t + 5 = -9*t for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -34, -71, -112, -157, -206?\n\"Answer: -2*b**2 - 31*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zjzz when four letters picked without replacement from {j: 3, d: 3, p: 5, n: 1, k: 1, z: 4}?\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/5))**(-28)\/(n**(2\/9)*n\/(n*(n\/n**(3\/5)*n)\/n)) assuming n is positive.\nAnswer: n**(512\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 93478336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 131340*q**3 + 4337*q - 9 wrt q.\nAnswer: 788040*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38)\/(sqrt(8)\/sqrt(4)) + -3*((sqrt(57)\/sqrt(3) - sqrt(19)) + sqrt(19)))**2.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 215498 + 6?\nAnswer: 2154a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3561 - 2494. Let t = v + -46927\/44. Calculate the common denominator of (-1)\/(-4) + 502\/24 and t.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 3 + 8 + -12?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.140775768 to five dps.\nAnswer: -0.14078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-534)\/54 + (6 - -4).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of u**6\/160 - 3*u**5\/20 + 3*u**4\/2 - 8*u**3 - u**2. Let h(v) = 0. Calculate v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -0.4, -4\/5, -0.32?\nAnswer: -0.32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 + p**2 - 2. Let x = 10 + -10. Give r(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 169323*l*z**2 + 11*l*z + 505*l - 229*z**2 - 4*z - 13 wrt z?\nAnswer: 338646*l - 458","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14472\/4020 + (-236)\/10?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000053425511 to seven dps.\nAnswer: 0.0000534","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -3161\/3 (b) 0.02 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/96 and 95\/3598.\nAnswer: 172704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rtt when three letters picked without replacement from rrrtrrrttttttttrttrr?\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 12 = 0, 0*l + 2*l - 5*j = -22. Let x be (-12)\/(-3)*l\/14. Suppose 4*z - 2*o + 18 = 0, z + 0*o + 12 = -2*o. Are x and z non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 + 4*j**2 - 3*j - 1. Let p be m(3). Let g be (-45)\/10*2\/(-4). Let d = -31\/12 + g. Which is greater: p or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14993532 != -14993532?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23809?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 100 + -30. Suppose -4*h - b = -2*n, -n - 65 = 5*h + 26. Let q(o) = o**2 + 13*o + 4. List the prime factors of q(h).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*d**2 - 9 + 9 + (3 - 2*d**2 - 3)*(-3 - 1 + 2) + 6*d - 6*d - 2*d**2 in the form i*d + n + s*d**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (11\/3)\/((-2 - 4)\/(-18)). Let x = o + -9. Solve 4*q - 2*q = x for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 3\/4 (b) 0.2 (c) 4 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.7201 - 0.1463. What is p rounded to 2 decimal places?\nAnswer: -0.87","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w - 5*w**3 - 2*w - 7*w - w**3.\nAnswer: -6*w**3 - 7*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - 1*3*7174\/1530.\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of -1 - u + 19\/15*u**6 - 61*u**2 + 0*u**3 + 0*u**4 + 0*u**5. Differentiate n(f) with respect to f.\nAnswer: 152*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -229\nAnswer: 91.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(sqrt(6)*1) - (-4 + (sqrt(3)*-1)**2).\nAnswer: 1 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xixxxxixxxxxxix. What is prob of picking 2 x?\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2273909 to the power of 1\/2, to the nearest integer?\nAnswer: 1508","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 - 2*i**2 + 3*i. Let t be n(6). Let s = t + 33. Calculate the smallest common multiple of s\/27 + 2\/(-9) and 9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -722*q - 1615*q - 4185*q = -159245 + 35327 for q.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*o**3 - 375*o**2 + 750*o**2 - 373*o**2.\nAnswer: -103*o**3 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1\/2)\/u**(-9))\/((u*(u\/((u\/u**(-4))\/u))\/u)\/(u\/(u**(-1\/28)\/u*u))))**(-40) assuming u is positive.\nAnswer: u**(-3510\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of d**4\/12 - 6*d. Let n(x) be the third derivative of -x**4\/24 + x**2. Determine w(n(o)).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of -v**5\/60 - 7*v**4\/24 - 17*v**3\/6 - 111*v**2\/2 - 110. Let b(m) be the second derivative of s(m). What is b(-7)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**1)**(-2\/17))**(-50) assuming m is positive.\nAnswer: m**(100\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2680786 is divided by 167.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 46 and 5085380?\nAnswer: 116963740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(1694) - sqrt(42)\/sqrt(48))\/(1*(sqrt(2) - (sqrt(2) + sqrt(2)*-3)) + sqrt(2) + sqrt(18)\/(sqrt(9)*-5)).\nAnswer: 875*sqrt(7)\/76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*1*-3*3*-2*sqrt(396)*5*4)**2*1.\nAnswer: 461894400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 11*a - 526. What is d(48)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 - (-4 - (2 - 6840007)). What is c rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3*i - 126 - 75 = 0, -2*i = -5*k + 1044. Suppose 211*j - 10 = k*j. Solve 0 = -j*x + 11*x + 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144*h - 77*h = -131*h + 4554 for h.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 124795 and 13387100?\nAnswer: 147258100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4111 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -2. Suppose 5*q + 0*q - 4 = -2*k, 7 = -4*q - 5*k. Let h be 3*2\/q - 1. Solve 0 = -h*a + 4*a + z*u - 8, -5*u = -a - 8 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5412 divided by 41?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 25929?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -991\/35 - -201\/7. Find l such that u*l**2 + 0 - 2\/5*l = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 233 in 10938, 17, 1?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (7 + -2)*(-27)\/((-1755)\/26). Let t(d) = d**3 + 2*d**2 - 2*d + 3. Let b(n) = n - 1. Calculate a*b(r) + t(r).\nAnswer: r**3 + 2*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z + 6 = 9*z. Suppose -2*b = -z*b + 3. Which is smaller: 1 or b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (i**2 - 4*i**2 + 2*i**2)*(3 - 4 - 1) + 4 + 3*i**2 - 4 + (i - 2*i + 0*i)*(i + 4*i - 4*i) - i**2 + 0*i**2 - i**2 in the form z*i + q*i**2 + g and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27.5 + -27.5286. Round u to three dps.\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3492 - -3586. Solve h = 10*o + 124 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59166 = -72*r + 54*r. List the prime factors of r.\nAnswer: 19, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6702312*c**4 + 448520*c + 39.\nAnswer: -80427744*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.2 - 1.55. Let s = 0.35 + g. What is the nearest to s in 5, -0.4, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1935 divided by 5.\nAnswer: 387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*v - 5*v + v)*(-2*v**3 - v**3 + 4*v**3) + v**4 - 2*v**4 - v**4)*(3*v + 0*v - 5*v).\nAnswer: 8*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 229 and 200?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*c**2 + 6*c**2 - 9*c**2.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ipi when three letters picked without replacement from {p: 3, i: 2, z: 13}.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 88\/32 + (-6)\/8. Suppose -123 = -i + t, 0 = 3*i + i + r*t - 462. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2156539831 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -7979.169 rounded to the nearest one hundred?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d - 20 = 6*d. What is the second smallest value in d, 4, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 218548?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96315933?\nAnswer: 3, 7, 929, 4937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2130*p**4 + 949*p**3 - p + 2426676.\nAnswer: 25560*p**2 + 5694*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 - 17. Let h = y + 43. Is 18 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 11) to base 9\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y**2 + 10*y - 9. Let n be i(4). Let f be n\/4*1 + (-1103585)\/36. Let k = f + 30663. Find the common denominator of k and -29\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (258\/(-63) + 4)\/((-4)\/6). What is the smallest value in m, 2\/67, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 454477358 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35953.63t to kilograms.\nAnswer: 35953630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 3*r + 55, 2*p = -3*r - 22 + 63. Let i be 3\/(-6*(-2)\/p). What is the third derivative of -2*l**2 - l**4 - 3*l**i + 3*l**4 + 3*l**2 wrt l?\nAnswer: -24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = r + 2*r - 3*q, r = -5*q + 34. Suppose -r*z = -847 + 253. Let p = z - -84. Does 15 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 44 = -59. Suppose -2*p - 3*b - 234 = -a*p, -4*p = -5*b - 908. Does 8 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -44274435 by -2.\nAnswer: 44274435\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*w**5 - 58*w**5 + 14*w**5)*(104 - 54 - 47).\nAnswer: -180*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2)*g)\/(g**(-1\/13)*g)*(g**(2\/3))**(8\/3) assuming g is positive.\nAnswer: g**(-17\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 8:43 AM?\nAnswer: 6:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -92, -2823, 2 in decreasing order.\nAnswer: 2, -5, -92, -2823","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p**4 + 3 - 3 + (p**4 + p**2 - p**2)*(83996 + 91372 - 62811)*(-2 + 0 + 4) in the form i*p**4 + q*p + j*p**2 + f*p**3 + w and give i.\nAnswer: 225116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -418, -415, -412, -409, -406?\n\"Answer: 3*c - 421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/5? (a) -0.1 (b) -3 (c) -6 (d) -2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13692 and 1029?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 5*h - 6. Let f = -14 + 20. Let j(r) = 13*r - 2. Let w(o) = -7*o + 1. Let a(i) = -6*j(i) - 11*w(i). Determine f*a(m) + b(m).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b**5 - 2044*b**4 - 89396*b**3 - 200932*b**2 - 141792*b - 28224 = 0. What is b?\nAnswer: -84, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -136 + 77. Let d = h - -59. Suppose d = -5*a, 2*l - 4*a = 4*l - 10. Solve 4*g - 25 = -l for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3574 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1280?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 901.5316 milligrams in nanograms?\nAnswer: 901531600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 36*p - 69. Let c be k(2). Solve 3*o + c = 4*w, 5*w - 17 = o - 5 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -107*f + 112*f. Find the second derivative of -12*v**f + v + 0*v**2 + 62*v**2 wrt v.\nAnswer: 100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-21 - -1 - -4) + 4. Is ((-16)\/c)\/((-4)\/(-18)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2210825978 to the power of 1\/2, to the nearest integer?\nAnswer: 47019","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 430*u - 58623. Determine s(138).\nAnswer: 717","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42)\/(-49)*(-10)\/150?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 187 = 24*h - 14597. List the prime factors of h.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4 + -4 + -2)*-57. Suppose 3*d + 594 = 5*d + 2*p, 2*d - 4*p = l. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of q**6\/75 + 197*q**5\/150 + 85*q**4\/12 + 94*q**3\/15 + 26*q**2 - 3*q - 1. Determine r so that x(r) = 0.\nAnswer: -47, -2, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 537 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 PM and 11:21 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (2*(-1*sqrt(1331) + sqrt(1331)) - (2 + sqrt(176) - sqrt(176))**2*-6))*3.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 175 and 187140275?\nAnswer: 187140275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3510 - -3523. Let j(n) = 5*n - 72. Calculate j(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/(sqrt(24)\/sqrt(4)*5).\nAnswer: sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 16 = -13. Let f(l) = 350*l**3 + 3*l - 2. List the prime factors of f(i).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 5*a + 6, 0 = -4*g - 1 - 3. Calculate the common denominator of 8\/a - (-4)\/66*32 and -58\/33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -4. Let u(x) = -x**2 + x + 3. Let g be u(-1). What is the nearest to g in -5\/4, o, 5?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 55618?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, 20, -5, -542 in increasing order.\nAnswer: -542, -5, 3, 4, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a century in years?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 + z. Let l(x) be the second derivative of -x**4\/12 + 2*x**3\/3 + x - 44. Suppose -2*u = -10 + 2. Determine u*a(f) - l(f).\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g - 79. Let r(v) = 14*v**2. Calculate r(w(x)).\nAnswer: 56*x**2 - 4424*x + 87374","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 432*i**2 + 2*i - 1. Let g(x) = -67*x**2 + x. Determine 6*g(c) + j(c).\nAnswer: 30*c**2 + 8*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -22*h. Let q(i) be the first derivative of 4*i**3 - 17. What is j(q(r))?\nAnswer: -264*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -36*t + 2397. Let x(s) = 7*s - 480. What is -4*c(f) - 21*x(f)?\nAnswer: -3*f + 492","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 314081 is divided by 104686.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y - 8. Let d be k(-11). Suppose 2*j + 3*l = 13, -d*l - 71 = -j - 3*j. What is the remainder when 55 is divided by j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - 13) + 7 + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7300.13 + -7384. What is f rounded to the nearest integer?\nAnswer: -84","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16648*q + 0 + 0 - 8695*q to the form k + p*q and give p.\nAnswer: 7953","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*t + 484 = 4*j + 79*t, -2*t = -2*j + 248. Calculate the remainder when 369 is divided by j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 3*u - 4*o, 4*u - 3*o + 50 = 135. Suppose 5*v - 5*n + u = 0, 0*n + 4*n = -4*v - 28. Let k be v\/18*(-10 + 1). Solve k*p + 11 = -4 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*h**3 + 2*h**4 - 3*h**5 + 0*h**5 - h**4 + h**5 + 10*h**5 + 6*h**5 + (-2*h**2 - 2*h + 2*h)*(2*h**3 + h**3 - 4*h**3).\nAnswer: 16*h**5 + h**4 - 4*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -9944*w**2 - 12726*w**2 + 5158*w**2 + (-2 - 1 + 1)*(4*w**2 - 3*w**2 - 3*w**2) + 2*w**2 + 3*w**2 - 4*w**2 in the form s*w + z*w**2 + n and give z.\nAnswer: -17507","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2 + 7017324*m + 7017326.\nAnswer: -2*(m - 3508663)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 187, 507, 959, 1543, 2259, 3107, 4087?\n\"Answer: 66*p**2 + 122*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 9 - 29 = 0. Solve 3*s = 1 - l for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-2))**(-2\/155)*((d\/d**(1\/4))\/d)**(1\/2) assuming d is positive.\nAnswer: d**(-139\/1240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c**3\/4 + 99*c**2 + 2295*c\/4 - 411825\/2 = 0.\nAnswer: -85, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.912814 + -8.912849. Let z = -0.5 + -6.5. Let p = z - f. Round p to 5 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 17*q - 5. Suppose -x - 2 = -6. Let f be g(x). What is the greatest common factor of f and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.040386 to three dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*i + 4*i + 60. Let r = 0 + i. Let h(d) = 2*d - 32. Calculate the least common multiple of 80 and h(r).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145780835?\nAnswer: 5, 3191, 9137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 40*l - 45*l - 2243604 = 0, -5*h - 2*l = -3739309. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 4 = 4*g, -5*z = -z - 4*g - 16. Factor 2\/7*b**3 + 0*b**z - 2\/7*b**5 + 0 + 0*b**4 + 0*b.\nAnswer: -2*b**3*(b - 1)*(b + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44 - (-11 - 4) - (113 - 115).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -4*s**3 - s + 1. Let c(p) = -23*p**3 - 5*p + 7. Let v(t) = 2*t**2 + 12*t + 15. Let z be v(-4). Let u(a) = z*c(a) + 6*b(a). Determine u(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-2)*(2 - -2). Let k(a) = 0*a**2 + 5*a**2 - 2*a**2 + a**3 - 4. Let u be k(q). Solve 12 = -u*v - 4*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 310 and 33313406.\nAnswer: 166567030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/8 (b) 19 (c) 4 (d) -2\/3 (e) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/2 in 11, 121, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 96083?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -55*u**6 - 233*u**5 - 193*u**3 - 20*u**2 + 433318.\nAnswer: -6600*u**3 - 13980*u**2 - 1158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 55279734 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3269 and 626714.\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -252 * -8\nAnswer: 2016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -40 - -42. Suppose -s + 5 = b, 2*s - 7*s = -c*b + 3. Solve h + 3 = b*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -250*v - 127 - 167 - 206 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2b + -b89c94?\nAnswer: -b89c67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + 247809?\nAnswer: 247809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4720 - -0.9\nAnswer: 4720.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2125735367?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + w + 8 = 0, -13*j - 40*w + 23*w = -120 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + 4e34?\nAnswer: 4e36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - 2.2. Suppose -76*m = -81*m + 40. Do b and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10763801 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.688 and -10937.2692.\nAnswer: -10937.9572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 8. Let m(v) = -v - 8. Let r be m(t). Let q be 1\/(48\/(r - 4)). What is the smallest value in q, 1\/8, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h - 2*h - 2*h)*((-2*h + 5 - 5)*(-2*h - 3 + 3) + 9*h**2 + 11*h**2 - 19*h**2 + 0*h**2 + 0*h**2 - 2*h**2).\nAnswer: -12*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/13? (a) -4 (b) 3 (c) -0.4 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2843519.\nAnswer: 7, 58031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hll when three letters picked without replacement from {o: 1, h: 3, l: 5, t: 7}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 - 5*h - 6. Let i be d(6). Suppose i = 5*x - 1 - 39. Suppose 0 = -3*v + x*v - 95. Does 19 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00036342851 rounded to seven decimal places?\nAnswer: 0.0003634","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2\/5 - y\/5 + 12\/5.\nAnswer: -(y - 3)*(y + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 85 - 41. Let i(n) = 2*n**2 + 16*n + 29. Let p be i(-2). Suppose -p = -49*t + q*t. Calculate the remainder when 1 is divided by t.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660821571 to the power of 1\/2, to the nearest integer?\nAnswer: 25706","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 5*q - q**2 - 5*q. Let y(z) be the third derivative of -z**5\/15 + 4*z**3\/3 - 16*z**2. Let a(l) be the first derivative of y(l). Determine a(r(b)).\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/29 (b) -3 (c) 0.1 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 126112 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2764 + 2764.02442. Round m to 3 decimal places.\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 220404.\nAnswer: 2, 3, 18367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.7 + -3.5. What is the second biggest value in 0, 3\/7, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 PM and 11:26 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2711*z - 2319. Is v(-11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v\/(v\/v**(2\/3)))\/v))**(-8)*(v*v\/(v**(2\/3)\/v))**(-2\/7)*((v**(-1\/3))**28)**(47\/2) assuming v is positive.\nAnswer: v**(-692\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, -5, -0.042, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 16472 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 18606?\nAnswer: 74424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-4 + 3*(-4 + sqrt(175) + 1 + sqrt(175) - sqrt(175)) + 4)**2.\nAnswer: -1080*sqrt(7) + 6624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 60725079 a multiple of 2487?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, v: 1, i: 10, g: 3, f: 3}. Give prob of sequence gik.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -2*c - 2*p, 3*p - 29 = -2*c + 2. Suppose c = -z + 5*q, 2*z - 5 = 5*q - 24. What is the nearest to 0.1 in 0.2, 2, z?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -12*a + 2. Let o be ((-1)\/5)\/(9\/(-180)). Let x(g) = 25*g - 4. What is o*x(z) + 9*y(z)?\nAnswer: -8*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 AM and 12:02 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 345.6818 weeks in seconds?\nAnswer: 209068352.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2544574767?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18433 is divided by 3562?\nAnswer: 623","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 153598721.\nAnswer: 83, 1850587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -114 + 60. Let i = 92 + f. List the prime factors of i.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 18 + 3. Suppose -4*a = c*i - 4, 3*i - 2 = -a - 1. Suppose 2*o - 92 = -i*o. Does 9 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 245*w - 39 - 3 - 247*w - 12 to the form x + q*w and give x.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -655*j - 18462. What is g(-31)?\nAnswer: 1843","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7969 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m - 52798 - m - 52787 + 105585 + 0*m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2563819?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -136\/18155? (a) -4 (b) 5 (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**4 - 2916*d**3 - 17424*d**2 = 0. Calculate d.\nAnswer: -1452, -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 - -21. Suppose 30 = 4*w + v. Calculate the remainder when (1*2)\/(-2) + 17 is divided by w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(5\/2)\/h)\/(h\/((h*h**(2\/35)*h)\/h))*h**17*h*h**(-20))**24 assuming h is positive.\nAnswer: h**(-372\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 165999419?\nAnswer: 83, 1999993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, r: 1, h: 5, d: 1}. What is prob of sequence ra?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 77991 or 77979?\nAnswer: 77991","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(((-585)\/221)\/15)*2\/(-2).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 6 = 0, 2*x + 2*x + 3*i = -2. Solve -3*w + x = n + 4*n, n = -5*w + 9 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4967 by -3.\nAnswer: -4967\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 10 = 0, 24 = 3*v + w + 124. What is the units digit of 2752\/28 + 10\/v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.124 less than 5\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 3*m - 218 + 54, w - 220 = -4*m. Let j be (106\/m - 2)\/(4\/3664). Let q = -98 - j. Which is the third biggest value? (a) q (b) -1\/3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*v + 137*v - 119*v + 114 - 9*v.\nAnswer: 2*v + 114","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -1823, -0.3, -2, 1\/2, 0.1 in descending order.\nAnswer: 1\/2, 0.1, -0.3, -2, -1823","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnv when three letters picked without replacement from nvvnvnvvvv.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/((a\/a**(-22))\/a*a))*(a**(-10)*a)\/a)\/(a*a**(-3\/4))**34 assuming a is positive.\nAnswer: a**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -10. Let h = x - -11. Let u be ((-136)\/(-28) - 2) + -3. Which is the nearest to 0? (a) u (b) h (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 392890.\nAnswer: 2, 5, 101, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 6*l**3 + 17*l**2 - 17*l - 17. Let i(g) = 5*g + 16. Let q be i(-10). Let t(z) = -z**3 - 3*z**2 + 3*z + 3. Give q*t(j) - 6*v(j).\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -65 by -1046.\nAnswer: 65\/1046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 139534392?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6795.81 + 6397. Let y = -401 - u. Let t = -0.19 - y. Which is the biggest value? (a) t (b) 4 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 918*w + 1006 = -3325 - 14922 - 25 for w.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r. Let k(b) = -476*b + 90*b - 1517*b - 4887*b - 2623*b. Give a(k(h)).\nAnswer: -18826*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1325442 is divided by 580?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 5*m**2 + 4*m + 8. Let o be f(-6). Suppose -3*t + o + 10 = 3*j, 184 = 3*j + 5*t. Let x = j + -31. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22.3 - -18.3. Let q = -197399\/285 + 2077\/3. Let x = 2\/19 - q. What is the biggest value in n, 0.14, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-8)\/(-16))\/(1\/2). Suppose 0 = 3*q - 6*q - 3. Let f = q + j. Solve 3*v + 2*p = -2 - 1, f = v + 5*p + 1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 264697*i. Let w(k) = -12*k. Calculate w(d(s)).\nAnswer: -3176364*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 701866?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7989 is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -10, 1\/43, -3, 27.3?\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 - 3*t**2 + 7*t - 10. What is n(-6)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 36531, 37175, 38259, 39789, 41771, 44211, 47115?\n\"Answer: t**3 + 214*t**2 - 5*t + 36321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 40388495 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 0, -0.2, 31, -793, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of a + 811 - 681 - 374*a**2 - 777 - 1077 wrt a?\nAnswer: -748*a + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(196)\/sqrt(4))\/sqrt(7) + -3*-1*sqrt(7) - ((sqrt(343) - sqrt(343)*-2)**2 + -5 + sqrt(42)\/sqrt(6)).\nAnswer: -3081 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148 = 5*z + 133, -2*z = 3*o - 33261. What are the prime factors of o?\nAnswer: 3, 5, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 15*p**2. Let w(z) be the second derivative of z**4\/4 - 403*z. Determine k(w(l)).\nAnswer: 135*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/29))**(-3) assuming n is positive.\nAnswer: n**(-3\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4864 is divided by 700?\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 3. Suppose 4*y + 4*a - t - 14 = 0, 2*y + 13 = 5*a. Suppose 4*d - 5 = -1. Solve j - d - y = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10803407*a**2*z**3 - 1097729*a**2*z - 14*a*z**2 - 3*z**3 wrt z?\nAnswer: 64820442*a**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118 = -5*z + 232. What is the highest common divisor of 105 and z?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-1*sqrt(13) + -1 + sqrt(208))*-3 + 1.\nAnswer: -24*sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s. Suppose 4*f + 13 = -7. Let n(r) = -3*r - 10. Let x(k) = 5*k + 13. Let q(u) = 4*n(u) + 3*x(u). Determine f*b(l) + 2*q(l).\nAnswer: l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 - 7*l + 50. Let u be f(-11). Suppose 0 = 2*i + q, 4*i + 6 = u*i + 4*q. What is the closest to i in 0.3, -3, 2\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**5 + 10*b**4 + 9*b**3 + 2*b**2.\nAnswer: b**2*(b + 1)*(b + 2)*(3*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6674401*u**3 - 1413*u**2 - 94*u wrt u.\nAnswer: 40046406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 4 = -2*c, 5*x - 4*c - 3 = 5. Let q = 15 + -9. Suppose -6 = -q*i - x. Sort -5, i, -1.\nAnswer: -5, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4108192 + -4108225.99534. Let s = k - -34. What is s rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - l = 213192 - 213176, -3*o = l - 16 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -861678379*a**3 - 5*a**2 + 2334313?\nAnswer: -5170070274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 817 is divided by 419.\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 355289 = 5*z - 355338, 3*z - b = 23 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-27)*(-1 + -21). Let h = -4\/27 + u. What is the second biggest value in 5, -3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 712812561 - -1.627?\nAnswer: 712812562.627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.457 in -0.3, 2859, 0.5, -4, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.078 - -48.078. Let w = 42.03 - 1.03. Let h = w - a. What is the nearest to h in -0.4, 2, 0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3308.85 to the nearest 10.\nAnswer: -3310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7\/2 of a centimeter?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + 17 - (-16 + 23). Let l be 202\/(-4) - 1\/(-2). Let x = p - l. List the prime factors of x.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9876.53 centuries to years.\nAnswer: 987653","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pu when two letters picked without replacement from uuuuuuuuupuu?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26614?\nAnswer: 2, 7, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 5 = 0, 2*u = -0*i - i + 256. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2db9 (base 16) to base 15.\nAnswer: -3705","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 163 + -21474176?\nAnswer: -21474013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 762 divide 1930472136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p and 1 b when four letters picked without replacement from ppabppapd?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 16 - 1, 4*f - 5*d = 21. Let r = 5 - f. Let c = 13 - -35. What is the highest common factor of c and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*c = 3*a - 33, 0 = -a + 3*a - 9990*c + 9987*c - 13 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 + 6*r + 6. Let f be x(-5). Suppose 6 = 3*o + 3*c - 3, 5*o = 5*c + 5. Let t be o\/(-3) + (-4)\/(-3). Which is greater: f or t?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 18*c**2. Let u(y) = 4*y**3 + 3*y**2 + 3*y + 1. Let h be u(-1). Let i(j) = j - 2. Let w(l) = l - 3. Let b(n) = h*i(n) + 2*w(n). Give b(s(p)).\nAnswer: -18*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8 + -3 + (-1)\/1. Let d be 2*((-26)\/(-39))\/(b\/6). Suppose -t - 14605 = -6*t + d*w, 11684 = 4*t - 3*w. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -800 - -1064. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 + 3*x - 5. Give k(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n and 1 g when four letters picked without replacement from nngnnngnnnnnn.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 10:28 AM?\nAnswer: 10:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 9 = w. Let l(n) = -3*n**3 + 10*n**2 + 10*n - 10. Let q(x) = -2*x**3 + x + 1. Let i(o) = -l(o) + 2*q(o). Is i(w) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -56 - -0.33.\nAnswer: -55.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1003039 greater than -38115535\/38?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3*(7\/(-3) + 2). Let h(c) = -c**2 + c. Let d(p) = -p**4 + 5*p**2 - 6*p. Let y(w) = o*d(w) + 5*h(w). What is the second derivative of y(x) wrt x?\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 15*b**2 - 2*b - 119. Does 108 divide s(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2806144 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fuff when four letters picked without replacement from fuhff?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/873 and -67\/15824871.\nAnswer: 15824871","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*q**2 - 67 + 835*q - 835*q + 24 - 38.\nAnswer: -7*q**2 - 81","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*s = -12*s + 41 - 2483 - 3508 for s.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in 3, 1, 0.32?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 5883140 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -15446, -30860, -46254, -61628, -76982, -92316, -107630?\n\"Answer: 10*h**2 - 15444*h - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-20))\/(627\/(-5016))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 6, v: 4, c: 9}. Give prob of picking 1 v and 2 h.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((sqrt(495)\/(sqrt(9)*1))\/sqrt(11) + sqrt(480)\/sqrt(6)*3)*-3*-1)**2.\nAnswer: 30420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 43?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one twentieth of a decade?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49 - 2891 = -90*v + 38 for v.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*d = 15*d - 76. What is l in 0 + 0*l**d - 3*l**3 + 0*l - 15\/2*l**5 + 21\/2*l**4 = 0?\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 7, d: 3}. Give prob of sequence cc.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 + 23*j. Let b(n) = -2*n**2 - 47*n. What is -4*b(h) - 9*t(h)?\nAnswer: -h**2 - 19*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of -x**8\/560 - x**6\/360 + x**3\/6 - x**2. Let m(z) be the first derivative of v(z). What is the third derivative of m(d) wrt d?\nAnswer: -72*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(-112) - ((-16)\/(-40))\/(21\/15).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-9 + 3 + 3)\/(-3) - (0 + -34)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(2\/(-136)*2). Suppose -a + 12 = -4*d. Suppose 0*f - 10 = -2*f. Calculate the remainder when d is divided by f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - -9 - 12239)\/(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 0 + 3 - 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2621 - 5241\/2. What is the closest to 2\/7 in -21, n, 0, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448400 rounded to the nearest 10000?\nAnswer: 450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + -1 + (-48)\/(-25). Let s = 3.7 + -3.2. Let u = -8.91 + 5.91. Put s, u, a in increasing order.\nAnswer: u, a, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -49\/4 - -241\/20. Let o = -0.3 - -0.2. Let t = o + 0.2. What is the closest to 0.2 in i, t, 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8 - -8)*(-1)\/2. Let z = -1 - p. Let f = -6 + 11. What is the closest to z in 0.1, f, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9.4 or -18443?\nAnswer: 9.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000087585 to 6 dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of 0*o**2 + 0*o + 2\/3*o**3 + 2. Let r(s) = 9*s. Let n(j) = -4*j. Let k(u) = -7*n(u) - 3*r(u). What is k(d(v))?\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67 + 151 = 24*p + 50 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 653, 1300, 1951, 2606, 3265, 3928, 4595?\n\"Answer: 2*s**2 + 641*s + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tzy when three letters picked without replacement from zgpdydddtydytdddgydz.\nAnswer: 2\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 + d + 1. Let g(j) = j**2 - 21*j + 3. Let b be g(21). Let r(o) = -o - o - 11 - b*o**2 - o**3 + 9. What is 2*i(f) + r(f)?\nAnswer: -f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3196?\nAnswer: 2, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 703740550.\nAnswer: 2, 5, 14074811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*a**2 - 6 + 11 - 5.\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - -10) + -1 + 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*o - 1\/5*o**2.\nAnswer: -o**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -147 (b) 1.073 (c) -5 (d) 5 (e) 24\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j**2 + 4*j - 7. Let a be p(2). Solve -5*b + a = -3*y, b - 4*y + 14 = 3*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*n - 144 = 156. Let f = -1\/14 + 1\/2. What is the second biggest value in n, f, 0.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -2, -34, 11.\nAnswer: -34, -2, 11, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 374.7616 litres to millilitres.\nAnswer: 374761.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(2\/5)\/(8\/(-25))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 272 bigger than 1903\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-104)\/(-4))\/13*333\/(-18).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12241310 (base 5) in base 14?\nAnswer: 311a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 38510 - 39?\nAnswer: 38482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123*a + 3 = y + 127*a, 2*a - 6 = 4*y. Which is smaller: -7\/13 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.5 (b) -3\/5 (c) -0.3 (d) 14 (e) -765 (f) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.29903 rounded to 2 decimal places?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15671 - -0.5.\nAnswer: -15670.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -214*h + 545*h - 211*h - 217*h - 212*h + 307*h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8*(3 - 2))\/2. What is the highest common factor of 2 and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -969*a**2 - 10*a + 23*a + 1 - 13*a as m*a**2 + o*a + k and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -3*z - 13. Let m(x) = 3*x + 11. Let j be ((-85)\/15 - -5)*-3. Let l(v) = j*i(v) + 3*m(v). Give l(5).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6346 + 10515. What are the prime factors of i?\nAnswer: 11, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 - 162.60979\nAnswer: -162.20979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -30395000 to the nearest one million.\nAnswer: -30000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rzdimmmdzdrw. What is prob of sequence wid?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.13408 - 0.13408. Which is the nearest to -11? (a) 0.08 (b) 0.5 (c) 5 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 1*(3 + (sqrt(208) - (1 + sqrt(208))) + sqrt(208) + 5 + 3 + sqrt(208) + sqrt(208))**2.\nAnswer: 240*sqrt(13) + 1968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3\/2 + 39*j**2 - 6273*j\/2 - 3175.\nAnswer: (j - 50)*(j + 1)*(j + 127)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 + 3*z + 4. Let i be j(-4). Let r be i\/(-4) - (-8)\/2. Find the third derivative of -r*y**3 - 4*y**2 + 3*y**3 + y**2 wrt y.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -202 - -78. Let v = p - -127. Which is the nearest to -8? (a) -0.4 (b) v (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -224*z = -234*z + 50 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1088 and 748?\nAnswer: 11968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 4*x - 2779 + 2799 = 0, 0 = 5*t - 4*x + 20 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fifty-seven halves of a tonne?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 2587 = -2*b, 4*w + 328 = b - 961. What is the tens digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**2 - m**3 + 7*m**3 - 4*m**3 - 2*m - 2*m**3 + 3*m - 3*m + (1 - 2 - 1)*(-m + 2*m**3 + m) - 8*m**2 - 4*m**3 + 8*m**2.\nAnswer: -8*m**3 + m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 - (8 + -1 - (-49 + 63))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h + 4*h - 3*h - 683*h**2.\nAnswer: -683*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y - 14*y - 312 = -34*y for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 32013 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2475361.\nAnswer: 7, 199, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 20, -2939 in descending order.\nAnswer: 20, 0, -2939","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of -a**4\/4 - 2*a**3 - 2*a**2 - 4*a + 8459. Let h = 3 - 3. Suppose 2*p + 0*p + 10 = h. What is t(p)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is -27538589 != -385540235\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25 - -12. Let t(i) = -i + 19. What is the remainder when n is divided by t(6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 188?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -595, -640, -685, -730, -775?\n\"Answer: -45*q - 550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 + y**2 + y - 1. Let h = 43 + -44. Let t be b(h). Suppose 0*l - l = 3*c - 353, t = -4*l + c + 1360. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9367.57 millennia in centuries?\nAnswer: 93675.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 53883 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: Rearrange (76*m + 106 - 106)*(-m - 1 + 1 + (0 + 0 + 1)*(5*m - 2*m - 4*m) + 6*m + m - 4*m + 6*m + 0*m - 4*m) to i*m + q*m**2 + b and give q.\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 820397 - 348028. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 74 + 314. Suppose -3*n + t = -v, -n - 3*t = n - 29. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of -23*y**3\/3 - 14*y + 9. Let m(u) = -9*u. Give m(i(j)).\nAnswer: 414*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gl when two letters picked without replacement from {l: 1, x: 1, e: 1, n: 1, g: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-74)\/(-8) + (-3)\/12. Let c(d) = d**2 - 6*d - 23. Let u be c(w). Solve 7*n + 3 = u*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3368*-141\nAnswer: 474888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3660 and -3?\nAnswer: -10980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)*-3 + -3)**2.\nAnswer: 54*sqrt(17) + 1386","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 27631 and 4.\nAnswer: 110524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 223ac - 4?\nAnswer: 223a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 316 - 316.02164. What is c rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 994 = 2*o + 579, o = 5*c - 1569. What are the prime factors of c?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 + 189*s + 3397. What is d(-20)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23636 - 3*o**2 - 23636.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (120 - (111 - -2)) + (1 - 6). Solve -2*d - 2\/9*d**j + 44\/9 = 0.\nAnswer: -11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 237639?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4\/3 + 3*b**3 + 9*b**2 + 9*b.\nAnswer: b*(b + 3)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -77*q**2 - 49*q + 2.\nAnswer: -154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, a: 5, e: 3, z: 1}. What is prob of picking 1 z and 3 u?\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2 - 3*d + 1 + 2. Suppose -2*s + 10 + 12 = 2*n, 5*n - 2*s - 41 = 0. Calculate the remainder when h(-7) is divided by n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*h - 55230000 = -45*h. Round h to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (14\/4 - 3) + (-9)\/(-2). Solve 0 = -5*w + n - 22, -5 = w - 3*n + c for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 0 + -81 + (-10 - -56) + 33?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 6:31 AM?\nAnswer: 10:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-5 + (-4 + sqrt(275))**2 - (4 + (-4 + sqrt(891))**2)) + -3.\nAnswer: -630 + 32*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**(-3\/10)*w))**(-22\/7) assuming w is positive.\nAnswer: w**(-33\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 18*z**3 + 182*z**2 + 204*z + 36. Let q(j) = -54*j**3 - 545*j**2 - 613*j - 108. Let i(n) = -4*q(n) - 14*x(n). Factor i(t).\nAnswer: -4*(t + 1)*(t + 9)*(9*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-4\/9)*d)\/(d\/(d*d*d**6*d)))\/(d\/(d*d*d**6)*d**(2\/3)) assuming d is positive.\nAnswer: d**(143\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 480, 444, 378, 276, 132, -60, -306, -612?\n\"Answer: -o**3 - 9*o**2 - 2*o + 492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 154555783?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 - 4*u + 4. Let x be p(-4). Suppose -4 = -x*o + k, 4*o - 2*k - 3*k = 4. Let m(h) = 4*h**2 - o + 2*h - 3 + 3 + 0*h**2. Calculate m(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 160*m**2 - 13. Let c(h) = -h. Calculate c(x(w)).\nAnswer: -160*w**2 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of 0*f**5 - 1 - 2\/3*f**3 + 0*f + 1\/900*f**6 + 0*f**2 - 1\/60*f**4. Let z(j) be the third derivative of w(j). Factor z(t).\nAnswer: 2*(t - 1)*(t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1556198, -3112394, -4668590, -6224786, -7780982?\nAnswer: -9337178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -217*v**5 - 27*v**5 - 2526*v - 557*v - 875*v - 13*v wrt v?\nAnswer: -4880*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 54 = q. Suppose q*g = g + 416. Let m = g + -49. Solve 3*s + 6 - m = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.34132501056 rounded to 5 dps?\nAnswer: 0.34133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -s**2 - 4389*s + 1009152 = 0.\nAnswer: -4608, 219","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 92.92 + -123.544. What is w rounded to 0 dps?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 28*g + 24. Let i be q(-4). Let v = 266 + i. Calculate the remainder when v is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2. Let u(q) = 26140*q. Determine u(t(d)).\nAnswer: -26140*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of -a**4\/4 + 11*a**3\/3 - 8*a - 4. Let v be j(8). What is the greatest common divisor of 23 and v?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35856, -72217, -109070, -146415, -184252, -222581?\nAnswer: -261402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 98?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 315 + 724. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 5 + 1 - -3 - (-418 + 389)\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*i = 22*i - 9. Let n(a) = -a**2 + 5*a + 3. Let o(s) = s**2 + 5*s + 1. Let p be o(-5). Let d(g) = -g - 1. Let l(k) = i*d(k) + p*n(k). Factor l(m).\nAnswer: -m*(m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -94\/2155461 and -83\/4836.\nAnswer: 112083972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 - -13.1. Let u = -0.4 - a. Let q(m) = m**2 + 2*m. Let x be q(-2). What is the third biggest value in -5, u, x?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 15785115*u**3 - 15785114*u**3 + 0.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -1\/113782809?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 121*x**5*z**3 - 18*x**4*z**3 + 13*x - 2*z**3 + 3*z**2 - 2*z wrt x?\nAnswer: 2420*x**3*z**3 - 216*x**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 39422.6 micrometers in centimeters?\nAnswer: 3.94226","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 + 18. Let q = 10 - f. Let b(c) = -6*c**2 - 8. Let j(m) = -3*m**2 - 4. Let d(l) = q*j(l) - 2*b(l). Differentiate d(r) wrt r.\nAnswer: -6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 1370 - 1533. Is x greater than -164?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 21 = 4*s + 7, -q = -5*s + 4*s + 2 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 502*x - 4383. Let t be w(11). What is the highest common divisor of 335 and t?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 3 = -1. Let p be (j - (-2)\/6)*3. Let n(z) = -z + 6. Let g(q) = -q + 1. Let w(r) = 5*g(r) - n(r). Calculate w(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6654 + 6654 + 456*q)*(3*q**2 - 4*q**2 + 2*q**2) in the form i*q**3 + x + r*q**2 + s*q and give i.\nAnswer: 456","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10026505 = 12*r + 3179677. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -1301*p**3 - p**2 - p - 1. Suppose -10 = 3*t + 5, 2*t = -3*o - 13. Let i be n(o). What is i rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3520, -3511, -3502, -3493?\nAnswer: -3484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-42)\/(-24) - 1\/(-4). Suppose -c*k - 2*k + 20 = 0. Let h be (-9)\/(-3) - k - -4. Solve a - 10 = h*r + 5*a, 4*a = -r - 13 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -14908*11\/22*(-6)\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 3 - 7*o + 0)*(37 + 20 - 80) in the form m + z*o and give m.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c\/(c\/(c*c*c*c**0))))\/(((c\/(c\/(c*c**(-3)\/c*c)))\/c)\/c)*c\/(c*c*c*(c*c\/(c\/c**2))\/c)*c\/(c*c**(4\/5)*c))**(4\/7) assuming c is positive.\nAnswer: c**(-96\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_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 u(q) = -q**3 - 108*q**2 + 1008*q - 3310. Give u(-117).\nAnswer: 1955","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r**2 - 6028918534*r + 6028918534*r.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3275, -3283, -3291, -3299, -3307, -3315?\nAnswer: -3323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 763919573 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 227*x + 223 = 4*f, 5*f + 0*f - 3225*x + 0 + 2 = -3222*x for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 858.2318 days in hours?\nAnswer: 20597.5632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 36 - 37. Let s = -0.1 - 0.1. Let r = 0.04 + -3.04. Which is the nearest to i? (a) r (b) 0 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 322166429.\nAnswer: 13, 1619, 15307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6276 or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 522 = -576. Is f a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*y + 273 - 136 = -18*g, 4*g - 5*y + 39 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.0655565*3.8\nAnswer: 0.2491147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -33 in 4, -0.5, -0.05, 0.6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -3*t**2 + 39*t + 14. Give f(13).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -67 - -62. Suppose -4*w = -12, -3*d = 5*w - 17 - 1. Let t(y) = -5*y - d + y + 2*y. Give t(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 684 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8241566?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3212*n**3*u*z**2 + 7*n**3 + 2*n**2*z - n*u*z + 46*u wrt z.\nAnswer: 6424*n**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k + 24. What is m(7)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a**2*k**3 + 3*a**2*k**2 - 128*a*k**3 - 2*a*k**2 - 63*k**3 + 5*k**2 - 90*k wrt k?\nAnswer: -6*a**2 - 768*a - 378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -25. Let k = s - 18.013. Let w = k - 0.05. Round w to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-6))**47 assuming c is positive.\nAnswer: c**(-282)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*f**2 - 3 + 6 - 1 - 4 as j*f**2 + r*f + n and give j.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, g: 11, k: 2}. What is prob of picking 2 k?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from osseccsogc. What is prob of sequence csoe?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12869708899 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 30709 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 45, -0.4, -4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 5*w = -5*m + 626, -5*m + 762 = -4*w. Suppose 0 = c - 3*n - m, -3*n = n - 12. List the prime factors of c.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1472a - 2?\nAnswer: -1472c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 27*g**2 + 28*g + 9. Let c be n(-11). Suppose 6*z = 2942 + c. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27750 is divided by 76?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 - 13*i + 459. Let t be p(16). Let u(s) = -s**3 - 5*s**2 + s + 12. Determine u(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-918)\/(-4))\/(-17))\/((-132)\/(-352))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a factor of 189791752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xkl when three letters picked without replacement from rlslkxj.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**0)**(24\/13))**(-4) assuming i is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 7319.072 to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27) + -4 - sqrt(3))**2 - ((sqrt(24)\/sqrt(200) + sqrt(3))**2 + sqrt(3)).\nAnswer: -17*sqrt(3) + 592\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((0 + (sqrt(57) + sqrt(6897)*-3)\/sqrt(3) + (sqrt(209)*3*-4)\/sqrt(11))*3)**2.\nAnswer: -1655280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 793296 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 25\/(-4) + (-3)\/(-12). Let k(p) = p**2 - 16*p + 8. Let d(r) = 4*r - 2. Let y(x) = 9*d(x) + 2*k(x). Is y(a) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*u = 38*u + 22 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(2 + sqrt(208)) - (sqrt(208) + -1*sqrt(208) + 3))**2.\nAnswer: -8*sqrt(13) + 209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(2\/5)\/(o\/(o\/o**(1\/5))))\/((o**(-1)\/o)\/o**(-1\/8)))**14 assuming o is positive.\nAnswer: o**(581\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-312)\/65)\/((-1408)\/(-880)) - (-236)\/76.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2287.\nAnswer: 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 11\/(198\/(-96))*(-3)\/2. Solve 2*c + y*c + 50 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 84 = -5*p. Suppose 5*h - 3*c - 5 - 8 = 0, -p = -4*h - 2*c. What is the biggest value in 1, -0.5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2679681 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19526, -19656, -19786, -19916, -20046?\nAnswer: -20176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19\/5 + 1 + 65\/325?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 87*h**2. Let l(v) = -11*v - 2. Calculate g(l(j)).\nAnswer: 10527*j**2 + 3828*j + 348","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) -1 (c) 1\/8 (d) -0.15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 345884579 to the nearest integer?\nAnswer: 702","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 16*l**2*w**2 + l**2 + w**2 - w + 224 wrt w.\nAnswer: 32*l**2*w + 2*w - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1758*w + 1734*w + 1753*w + 1755*w - 6998*w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2998156955.\nAnswer: 5, 367, 1633873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 652 is divided by 641.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43, -37, -27, -13, 5, 27, 53?\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3210 divided by 1.\nAnswer: -3210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jpjrl. Give prob of picking 1 r, 1 l, and 1 p.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -11 + (-1510 - -1479)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -11. Suppose -7*i - 12 = u*f - 2*i, f - 13 = 4*i. Solve -w - 14 + f = 2*j, -11 = 4*j - w for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(208) + (sqrt(208) - 2*sqrt(208))) + sqrt(208))\/(-2*sqrt(800) + sqrt(800)))\/(-4*(sqrt(242) - (sqrt(242) - sqrt(242)*-1))*1).\nAnswer: -sqrt(13)\/440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -4*u + u - o, 4*o = -u + 22. Factor 4\/7 + 81\/7*w**u + 36\/7*w.\nAnswer: (9*w + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11480 - 11474. Which is greater: i or -39.6?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 296\/(-149) - (4 - 24\/4). Let y be -5*((-6)\/5 + 1). Which is smaller: t or y?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*f + 5*z = -17*f + 23, -5*f - 5 = -3*z for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence crc when three letters picked without replacement from {r: 1, c: 2, o: 3, s: 6}.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1*(-5)\/(-425))\/((-4)\/(-8)))\/((-337)\/(-1685)).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u + 6. Let l be r(-9). Let x be (-2 + 0)\/(1\/l). What is the highest common factor of x and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 13964*l - 97919. What is r(7)?\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**3 + 5515312*b**2 - 1901177684160*b + 7604622491904.\nAnswer: -4*(b - 689412)**2*(b - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 9*t + 2178 = 4*p, -p = t - 727. Suppose -j = 3*b - 5*j - t, -2*b + 490 = -2*j. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -287.27 + 287.2667458. Round i to 5 decimal places.\nAnswer: -0.00325","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -35\/22, 2\/7, 4, 355, -2 in ascending order.\nAnswer: -2, -35\/22, 2\/7, 4, 355","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 128.1 - 128. Let w = 0.41 - 0.43. Which is the smallest value? (a) w (b) x (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2054724.\nAnswer: 2, 3, 7, 61, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55 divided by -5.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/5, 3, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -3*m. Let f(o) be the second derivative of 0*o**2 + 7*o + 0*o**3 - 1\/2*o**4 + 0. Give f(c(v)).\nAnswer: -54*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - -17. Let d(p) = p**2 - 10*p + 9. Let f be d(n). Which is the smallest value? (a) f (b) 5 (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14420045 (base 8) to base 9\nAnswer: 6156182","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-203335)\/(-3697) + 2\/1?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 105 + -99. Suppose -4*h - 95 = 157. Let g be h\/(-6)*1640\/o. Round g to the nearest 100.\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*h**3*i - 25*h**3 - h**2*i - 90*h**2 - 3*h*i - h - 6*i + 212 wrt h.\nAnswer: 12*h*i - 150*h - 2*i - 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/508 and -169\/210630?\nAnswer: 53500020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/320 and -57\/286912.\nAnswer: 1434560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - 530?\nAnswer: -527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(4*-1*sqrt(3648) + sqrt(3648)))\/(3*(-1*sqrt(300)*-1 + sqrt(300))).\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 913020132?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 69 + 2*p - 69. Let u be 0*(-2 - (-5)\/2). Let f(z) = z + u*z + 0*z. Calculate f(v(j)).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.4 + 0.9. Let v = 29.3 - 28. Let l = v + 1.7. Which is the second smallest value? (a) j (b) l (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 2. Suppose 3*y = u*w + 8 + 5, w = 2*y - 2. Let z be -3 + (w - -8)\/1. Are z and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 + 80 = 43*p. Suppose -4*m = p*c - 803 - 42, m = -4. Is 288 < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.192 - 46.192. Let g = -54.7 + 12.9. Let j = g - y. What is j rounded to 0 dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 42*i + 62*i - 3 - 102*i + 48 in the form v + h*i and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 51.43915 to 2 dps.\nAnswer: 51.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - 9. Let r = 18 + -10. Suppose 2*k - 4*k - r = 0. Sort y, k, -1 in increasing order.\nAnswer: k, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/7 (b) 14 (c) 5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26 + 23. Let j be (-3 + 2)\/(1\/x). Solve -1 + j = w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1374*v - 282*v + 39356 + 56740 = 0 for v.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -3*n + 12. Let b be t(3). Let f be ((-3)\/(-6))\/(1\/(-8)). What is the second biggest value in b, f, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 5*s - 4*c, 5*c - 3 = -2*s - 16. Let m = -2 + s. List the prime factors of (2\/m)\/(5\/(-45)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61 (base 10) in base 4?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1*(5\/(-25))\/1*5\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -53*w - 3048. Give q(-39).\nAnswer: -981","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 287, 293, 277, 227, 131, -23?\nAnswer: -247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 5336 = -1471. Calculate the remainder when 1547 is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 33\/5 of a centimeter?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 2 + -5 - -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(15\/4))**36*(y*y\/(y*(y\/y**(1\/6))\/y))**(-3\/17) assuming y is positive.\nAnswer: y**(4583\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000 + 1010010101010011?\nAnswer: 1010010101011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 199752?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86 - 2859*w - 52 - 34 - 58*w**2.\nAnswer: -58*w**2 - 2859*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bebbegebub. Give prob of sequence uge.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -1 (c) 2\/13 (d) -508\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t + 10. Let h be d(-6). Suppose -2*q + 4*q = -h. Let n be 1250\/35 + q\/(-7). What is the greatest common divisor of 4 and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, f: 2, e: 1}. What is prob of picking 1 h and 1 f?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3864)\/16 + 1\/2. Let w be 3\/(-12) + v\/(-4). Let b be w\/25 - (-8)\/(-20). Solve -b*d - 10 = -3*k, k = 3*d - k + 15 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of b**5\/110 + 65*b**4\/66 + 309*b**3\/11 + 3807*b**2\/11 + 43*b + 128. Factor k(y).\nAnswer: 2*(y + 9)**2*(y + 47)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 2 = -2*l + 5*w, 4*w = l. Let h be 4\/(-10) + 36\/15. Let y(o) = -13*o - h + 2. Let r(v) = -6*v. Give l*y(k) + 9*r(k).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 15, 4, -130, 3, 5 in increasing order.\nAnswer: -130, 2, 3, 4, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 147503*h**2. Let u(s) = -2*s + 80. Calculate u(p(k)).\nAnswer: -295006*k**2 + 80","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(77)\/(2*sqrt(11)))**2.\nAnswer: 63\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -211110 + -2?\nAnswer: -211112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.4 and 5.147397.\nAnswer: 5.547397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62*-5.9567.\nAnswer: -369.3154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 3*i. Let p(k) be the second derivative of -k**3\/3 + 6*k. Calculate d(p(l)).\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.440305525 to 2 dps.\nAnswer: 10.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from ynynbnnnnnyjynjybyy.\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*l**5 - 488*l**4 - 772*l**3 + 4304*l**2 - 4400*l + 1344 = 0 for l.\nAnswer: -4, 2\/3, 1, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2391505 is divided by 741.\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.2 - 0. Let p = 0.2 - b. Sort -1, -0.5, p in decreasing order.\nAnswer: p, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 52*j**2 - 221*j + 663. Let m(x) = -x**2 + 4*x - 12. Let a(f) = -4*k(f) - 221*m(f). Let t(b) = b - 2. Determine t(a(i)).\nAnswer: 13*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 + 182*i - 23044. Determine h(86).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -30829*k**3 + 7*k**2 + 949676 wrt k.\nAnswer: -92487*k**2 + 14*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5112531\/(-1640) + 2\/5. Let t = -3117 - s. Let w = t - 16563\/328. Calculate the common denominator of w and 99\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2. Let b(d) = -d**3 - 4*d**2. Calculate -4*a(s) - b(s).\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 97 - 97.87. Let o = t - -0.8700071. What is o rounded to six dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1468 divided by -28?\nAnswer: -367\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 + 5*x - 4. Suppose 5*v = 2*v + 9. Let h be z(v). Suppose h*a - 6 = -0*a. What is the remainder when a is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3754814 rounded to 2 dps?\nAnswer: 0.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 19.3029 millimeters?\nAnswer: 1.93029","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (3\/4)\/(((-25)\/(-560))\/5) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3016291 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of -k**3\/3 + 7*k**2\/2 - 9*k - 2. Let h be v(6). Let r = -0.24 - 0.06. Which is the nearest to 1? (a) h (b) 4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -155, 4, 0, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/12988 and -55\/1428.\nAnswer: 272748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -4)*-2 - (22 - 50 - -32).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.95768cm in nanometers?\nAnswer: 29576800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2000 and 160?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 0 = -3*u. Suppose -u*g + 28 = 4*p, p = g - p - 10. Solve -6*h = -3*h + g for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 3*x = -11, -2*t + 24662*x = 24658*x + 28 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 21*n + 74. What is q(-10)?\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1590674644?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 + -17. Which is the biggest value? (a) 2 (b) 14 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 399 a factor of 92882436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47277 (base 8) to base 6.\nAnswer: 233155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -4\/753, -2\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/4 and 73\/374838180?\nAnswer: 374838180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 31*x - 127. Let m be d(4). Let j be 48\/60 + m\/(-15). Sort -2, -4, 5, j in increasing order.\nAnswer: -4, -2, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u**2 + 11*u. Let c(l) = l**2 + 6*l. Let p(x) = 11*c(x) - 6*w(x). Let m(b) = 3. Let q(r) = r**2 + 1. Let j(v) = -m(v) + 3*q(v). Give p(j(y)).\nAnswer: -9*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 48803869 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -691.59 - -37.89. Let o = -682 - k. What is o rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 - 2*t + 1. Let q(i) = -i**2 - 4*i - 3. Let d be q(-2). Let f be c(d). Suppose f = 3*o - 11 - 4. What are the prime factors of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 79803 and -5.\nAnswer: 79798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -127 at least as big as 60?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*s - s - 3*s)*(5*s**3 - 4*s**3 + s**3) + (-569 + 569 - 28*s**2)*(2 + s**2 - 2) in the form u*s**3 + q*s + f*s**2 + y*s**4 + n and give y.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**3 + 0*p**3 + 0*p**3)*(1402*p**2 - 1021*p**2 + 2132*p**2).\nAnswer: 2513*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 313498.\nAnswer: 2, 156749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -2*z**4\/15 + 154*z**3\/15 + 790*z**2 - 24154*z\/15 + 12152\/15 = 0.\nAnswer: -49, 1, 124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 4) to base 10.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -12 + -e1?\nAnswer: -f3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2879 or -2608?\nAnswer: -2879","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25862*r**3 - 8622*r**3 - 8621*r**3 - 8617*r**3.\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 108?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 + 3*d**2 + 6*d - 3. Let u = -8 + 12. Let f(a) = a. Let r be f(u). What is h(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -118 - 680. Let r = 162 + n. What is r rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -61526197 not equal to -61526197?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9.2 + -35.8. Let u = -61 - z. Let f = u - -16.0000044. Round f to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4240\/13 + -326. Find the common denominator of w and 13\/7.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y - 18 = -10*y. Suppose 0 = -2*w + y - 0. Suppose -5*d = -5*k + 5, -2*k + w*d + 5 = 2. Solve -4*q + 19 + 1 = k for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 27 - 1*9\/3. Suppose o = -4*m + 27 + 8, 4*o - 129 = -5*m. Let n = -19 + o. What is the highest common factor of n and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/((-1)\/(1*6)). Let k be 0 + (-3)\/3 + a. Let i(q) = -q**3 + 6*q**2 - 2*q + 2. Let m be i(k). Solve -f = -3*t - t - m, -4*t + 3*f = 19 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/11 (b) -4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, 2, 0.2, -46, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 AM and 5:28 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/32 of a milligram?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -777 - -5?\nAnswer: -772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (24*n - 23*n - 171*n**2 + 595*n**2)*(-n - n - 4*n) as r + v*n**2 + g*n**3 + a*n and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 18664643 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8016 and 1377648464.\nAnswer: 2672","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -4. Suppose 28 = a - 3*f, -2*f = a - 12 - 6. Calculate the remainder when a is divided by (-2 + (y - -12))*1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 133757 + 0?\nAnswer: 133757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 755 = -5*p, 413 = -5*x + 2*p + 1175. What is the lowest common multiple of x and 152?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2191723 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 173894 divided by 5578\nAnswer: 86947\/2789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 - 16*i**2 + 8*i + 143. Let q be o(-16). Calculate the greatest common divisor of q and 193.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14642 by -2.\nAnswer: -7321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1548? (a) -3\/8 (b) 3 (c) 1 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.6319*-5.\nAnswer: -3.1595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 4 = 4*o, 0 = -0*d + d + 3*o - 19. Let i be (-4)\/10 - d\/(-10). Suppose -2*g + i = -4. Solve 3 = -g*n - 3 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a + 156 = 11*a. Let v = 66 - a. Suppose -2*l - 3*o - 8 + 30 = 0, -3*l + v = 3*o. Solve l*m = 3*d - 24, 4*d + 2*m = -0*m + 6 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-11))\/((-108)\/(-66)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of m**7\/2520 - 17*m**6\/2880 + m**5\/120 - 3*m**4\/8 - 6*m**2. Let z(g) be the second derivative of j(g). Factor z(h).\nAnswer: (h - 4)*(4*h - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 (base 9) in base 3?\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*d = -54*d + 3*y - 3000, 0 = -2*y + 8. Is d smaller than -2986?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42)\/(-4)*(-61)\/1281*(-244)\/(-8).\nAnswer: -61\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 68 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -3 - (-6 + -1 + 3 - -14)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 197 = -803. Let i = x + -81. What are the prime factors of i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) -10 (b) -1\/2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1124.4406667 rounded to the nearest 10?\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-4))\/(2\/4)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -173470 - -257413. What is the thousands digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b**2 + 4*b + 11. Let i(x) = -10*x**2 - x + 25. Let h(z) = -7*z**2 - z + 17. Let w(q) = -7*h(q) + 5*i(q). Determine -6*d(f) + 11*w(f).\nAnswer: f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/6 and (28\/110)\/(4\/40).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 10.9, -0.9, -0.223, -1\/8, 1\/4, 15?\nAnswer: -0.223","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 31610 to the nearest 1000.\nAnswer: 32000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + -239a4?\nAnswer: -239a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + 1 - -1)*1. Let d = k - 3. Is -2 equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 0.3, 30572.\nAnswer: 0.3, 1\/3, 30572","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 10*c - 448 = 0. What are the prime factors of c?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 23 - 3104763?\nAnswer: -3104740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 694 is divided by 113?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 228196 and 8974.\nAnswer: 1282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -52 + 87. Suppose -w + s = i, -3*i = -5*w + 251 - 84. Let o = -19 + w. Solve -h + o = 4*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-10) - (-52)\/10. Suppose k*h = h - 4. What is the units digit of (1 - (1 - -2))*h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.52 times 3.46?\nAnswer: -1.7992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 26325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -286*k - 259*k + 543*k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 - (-44)\/(-14) - 194\/14. Is x bigger than -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18546+-0.17779316\nAnswer: -18546.17779316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8499791 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 67 - 34. Calculate the remainder when 0*(-2)\/(-4) + a is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11.5*-0.08\nAnswer: 0.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1832944 and 102998?\nAnswer: 2102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z**2 + 225*z - 6059. Determine a(22).\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 62*i + 51. Calculate v(3).\nAnswer: 237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {v: 3, r: 6, j: 1, k: 3, l: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*i - 11*i = 1848. Calculate the lowest common multiple of 75 and i.\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16549\/1650 - -249\/25. Calculate the common denominator of 121\/210 and l.\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*2\/4*381\/(-508). Suppose 8*j - 50 = -17*j. Determine b so that 21\/4*b - i*b**j - 147\/8 = 0.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*v**3 + 9*v - 10*v + 23*v**3.\nAnswer: 7*v**3 - v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 205\/3*p**2 + 100\/3 - 35\/3*p**5 + 280\/3*p - 65\/3*p**3 - 125\/3*p**4 = 0. Calculate p.\nAnswer: -2, -1, 10\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8180323 and 2.\nAnswer: -16360646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 3*q + 27592 + 21174 = 0, -4*o + 97488 = 5*q. What is the ten thousands digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 49 divided by -61\nAnswer: -49\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -205250.4 to the nearest one thousand.\nAnswer: -205000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 24565*u + 60078*u - 6 + 5.\nAnswer: 84643*u + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -748 - -2204\/3. Find the common denominator of v and (2 - (-220)\/6)\/(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -18130 to the nearest 1000.\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-237)\/(-15) + (-3)\/(-15). Suppose -13*y = -11*y - v. Suppose y = h + 3. What are the prime factors of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of v**5\/60 - v**4\/24 + 480*v**2. Calculate p(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-565)\/6102)\/((-20)\/36) + (4 - (-6826)\/(-1644)).\nAnswer: 2\/137","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 4 = 2*h. Suppose -c + h = 4. Let m be -2*(-3 - c)*1. Solve -m*w = 10 - 2 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 4*l = -3571770, -l - 936853 - 253735 = -2*b. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 + 20. Suppose f = -p - 0*p, 3*p = 3*h - 18. Suppose h*x - 3 = 3*x. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1 (b) 3 (c) -0.093 (d) 0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1089329?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2a36529 - -b?\nAnswer: 2a36538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -55101.1 to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 160 and 64?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l. Let q(m) be the first derivative of 7*m**2 - 12. Give q(a(i)).\nAnswer: 14*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/(-4)*1020\/(-85))\/(-39).\nAnswer: 14\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 53240021 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 12*t**4 - 4*t**3 - 84*t**2 + 100*t - 24 = 0.\nAnswer: -3, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 142 + -22 + 36 + (-32 - 11)\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 31689 and 28?\nAnswer: 126756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 + -503\nAnswer: -502.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 - 3*k**2 + 4*k + 5. Let o(s) = s**3 + 4*s**2 - 5*s - 6. Let p(r) = 2*o(r) + 3*w(r). Determine p(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 3*g + 20. Let t(b) = -7*b + 8. Let v(a) be the first derivative of 3*a**2 - 7*a + 1. Let i = -4 - 2. Calculate g*t(f) + i*v(f).\nAnswer: -f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, -526, -4 in increasing order.\nAnswer: -526, -5, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/8 - (-46)\/184?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (35\/15)\/((-3)\/(-18)*-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -35.156 - -11363.5882?\nAnswer: 11328.4322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(((-8)\/(-14))\/(1092\/294))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -251*k = 245*k + 1 - 1 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95 - 105 - 101 + 4*b**2 + 301.\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -4*r + 1974, -n = n + 4. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5294195 is divided by 41685.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -78 - -5056478?\nAnswer: 5056400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**(-3)*f))**(1\/18)*f**4\/(f**1\/f) assuming f is positive.\nAnswer: f**(25\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 times -17382\nAnswer: 869.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 80897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -33345 + 135130?\nAnswer: 101452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1366, -1367, -1366, -1363, -1358, -1351?\n\"Answer: o**2 - 4*o - 1363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 95267 or 95266?\nAnswer: 95266","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/(-20))\/((-24)\/(-16)). Let n = 17\/39 - 10\/13. Let o = 0.6 - 5.6. Which is the third smallest value? (a) h (b) n (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oohooooooooh. Give prob of picking 3 o and 1 h.\nAnswer: 16\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123099906 is divided by 101.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 5:18 AM?\nAnswer: 9:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1764 at least as big as -1628?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/3)*u*(u*u**2)\/u)**(3\/38)*(u**(2\/5))**3\/(u*u*(u**(-1)*u)\/u*u)**(-41) assuming u is positive.\nAnswer: u**(15843\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 - d - 27. Let k be z(6). Factor -2*j**k + 8\/3 - 8*j + 22\/3*j**2.\nAnswer: -2*(j - 2)*(j - 1)*(3*j - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 270\/20*2\/3. Sort l, -4, 2 in descending order.\nAnswer: l, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2122044 (base 7) to base 16.\nAnswer: -3ee59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - 7303?\nAnswer: -7310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(170)\/sqrt(5) - sqrt(204)\/sqrt(150))\/(sqrt(2) + sqrt(2)*1*-5 - (sqrt(2) - ((3*sqrt(98) - sqrt(98)) + sqrt(98)))))**2.\nAnswer: 2057\/6400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 497\/161 - 6\/69. Suppose 3*t - 5*y + o = -12, t - y + 5 = 0. What is the biggest value in 3, -0.4, t?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 6*c = -5*x - 50, -5*c = 2*x - 50. Calculate the remainder when 26 is divided by c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*f + 11*f - 10 = 0. What are the prime factors of 2056\/18 + f\/(135\/6)?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -58, -2\/9, 197, 11\/7 in increasing order.\nAnswer: -58, -2\/9, 11\/7, 197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -6*h - 38. Let f(x) = 5*x + 38. Let a be -8 + 255\/15 + 1 + -5. What is a*f(s) + 4*r(s)?\nAnswer: s + 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 29830? (a) -0.4 (b) -4 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzm when three letters picked without replacement from ipiippiiipzpmppzpi?\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*r + 17 + 3 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h*h\/(h\/h**0))**36\/((((h*h*(h*h\/(h*h**(-2)))\/h)\/h)\/h)\/((h**(-1\/4)*h)\/h)))**(-37) assuming h is positive.\nAnswer: h**(-15651\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/312 (b) -96 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) -2 (c) 1.9 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 22 = -3*f, -t + 5*f + 20 = 2*t. Suppose 7 = 4*q - o, -3*q + 15 = 2*q + t*o. Let n be (1 - q - -2)*1. Solve -p - 1 = n for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -32, -5 in decreasing order.\nAnswer: -1, -5, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + 12 + 1 + 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of p**4\/42 - 2*p**3\/21 + p**2\/7 - 105*p. Determine k so that d(k) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 g when three letters picked without replacement from {p: 1, z: 1, q: 2, g: 6, o: 3}.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 11 = 37. Let v be ((-38)\/g + 3)*-2. Factor j**3 - v*j + 2\/3*j**5 + 5\/3*j**4 + 0 - 1\/3*j**2.\nAnswer: j*(j + 1)**3*(2*j - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o + 2*o + 3*o + o**2 + 5. Let y be (-18)\/(-15)*(-20)\/6. Give x(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.065? (a) -10\/9 (b) 2.4 (c) -2\/17 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42 is divided by 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (9*(-3)\/(-135))\/((-19)\/(-10))\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 34986 divided by 3?\nAnswer: 11662","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**17*a*a)\/a**(2\/27)*a**6*a*a\/(((a\/((a\/a**(1\/15))\/a))\/a*a)\/a)*a assuming a is positive.\nAnswer: a**(3761\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 8*p**3 - 127*p**2 + 168*p - 751. Give h(15).\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.29 + 0.71. Let a = 30 - 18. Let x = -12.5 + a. Sort x, 2\/9, y in ascending order.\nAnswer: x, 2\/9, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80477*b - 302647*b + 2659023*b.\nAnswer: 2436853*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a millennium in decades?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 42*o - 50*o + 780800. What is o rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(2112)*-4 - sqrt(2112))*2)\/(5*(sqrt(192)*-1*4 + sqrt(192))) + 4)**2.\nAnswer: -112*sqrt(11)\/15 + 5756\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7824 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*5*(sqrt(104)*-1 - sqrt(104))*-6)\/(((sqrt(88) - 1*sqrt(88) - sqrt(88))\/sqrt(11) + sqrt(64)\/sqrt(128))*-3))**2.\nAnswer: 1331200\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 + 10*t**2 + 8*t - 5. Let w be q(-10). Let p = -8 - w. Suppose -p - 83 = -4*h. Is 10 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*((-9)\/(-3))\/3. Let q(g) = 9*g**2 - g + 2. Is q(p) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.344 - 0.384. Put 0.7, q, -1, 0 in descending order.\nAnswer: 0.7, 0, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20125, -20932, -23127, -27406, -34465, -45000, -59707, -79282?\nAnswer: -104421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + 1030330?\nAnswer: 1030331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f + 1. Let j(o) be the third derivative of -o**5\/20 - 5*o**4\/24 - 7*o**3\/6 + 41*o**2. Calculate -j(z) - 5*l(z).\nAnswer: 3*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -302285 - 98701 = 11621*x + 112013 + 79672 for x.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of 0 - 1\/20*d**6 - 1\/12*d**3 + 4*d - 5\/24*d**4 - 7\/40*d**5 + 0*d**2. Find h, given that s(h) = 0.\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of -p**4\/12 + p**3\/6 + 3*p**2\/2 - 5*p. Suppose 5*g - 6 - 9 = 0. Let o be z(g). Is o != -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 1881 = 729. Let u be (-4)\/(-10) + h\/(-5). Let v = u + 223. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(637) + (sqrt(637) + sqrt(637) + sqrt(637) + 1)*-6 - (-1 + sqrt(637) + -1))**2.\nAnswer: 1008*sqrt(13) + 206404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*a + 7 + 5 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22243810.\nAnswer: 2, 5, 151, 14731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, m: 1, j: 3, b: 6, d: 1, w: 2}. Give prob of picking 2 b and 1 m.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/4 + 27*u - 53.\nAnswer: -(u - 106)*(u - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.06? (a) -0.1 (b) -15 (c) -3.6 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*p = -37*p - 90. Let d = -84 + 164. Let m = -47 + d. What is the remainder when m is divided by p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1992932 - 9?\nAnswer: -199293b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3307508 to the power of 1\/2, to the nearest integer?\nAnswer: 1819","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/1376262 and 65\/5652.\nAnswer: 2752524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/7 + 4\/(-14). Let u = 1 + -3. Let k be u\/(-3)*(-54)\/(-12). Solve 2*a - a = z, 4*c = k*a + 8 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 11) in base 10?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -4778746 at most as big as -4778745?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 6 (c) -1 (d) 4 (e) 0.27\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6921114 micrograms in milligrams?\nAnswer: 0.0006921114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 2*a = 4*z - 11342, -z = a - 5679. What are the prime factors of z?\nAnswer: 5, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -50 + 4?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 262228210.\nAnswer: 2, 5, 41, 173, 3697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102808421.\nAnswer: 389, 264289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 0 + 4)*(1 - 1 - 2) + 1 - 2 + 6)*(-3*j**5 - j**5 - 4*j**5).\nAnswer: -8*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 244096 and 26944.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.018*-0.5.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -125*w - 612932 + 2201932. 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: Suppose 45 + 19 = 4*q. Let d(m) = -m**3 - 7*m**2 + 7*m - 5. Let b be d(-8). Suppose b*x + 2*x - 40 = 0. Calculate the highest common divisor of q and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*(x**(-2\/9)\/x)\/x*x*x**(-10))\/((x**(-1\/10)\/x)\/(x**(-5)\/x*x)) assuming x is positive.\nAnswer: x**(-1271\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 PM and 1:38 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((10\/(-4))\/(-5))\/(74\/(-148)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 5983.928cm?\nAnswer: 59.83928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of 25*x**4\/12 + 27*x**2\/2 + 29*x. What is the first derivative of t(s) wrt s?\nAnswer: 50*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 - -25. Let u(x) = 2*x - k*x - 4*x - 6. What is the tens digit of u(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 14004, 28121, 42212, 56277, 70316, 84329?\n\"Answer: -13*q**2 + 14156*q - 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.1 (b) -21 (c) -4 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13341*s + 33 - 13343*s + 41*s**2 + 3 with respect to s.\nAnswer: 82*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -19*r**2 + 2377*r + 69. Let w be y(125). Calculate the greatest common divisor of w and 2291.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -9808*l - 29420. Calculate v(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2\/8 - 138*l + 138699\/8.\nAnswer: -3*(l - 99)*(l + 467)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -68, -139, -212, -287, -364, -443?\n\"Answer: -f**2 - 68*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - -1 - (163 - 145).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + -1 + sqrt(378)\/sqrt(6))*3*-4*-5)**2.\nAnswer: -21600*sqrt(7) + 230400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1.4*-0.104\nAnswer: -0.1456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 AM and 6:09 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 31497*n**3 - 40712.\nAnswer: 94491*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01622089303 to 5 dps.\nAnswer: 0.01622","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 257 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.5823147nm?\nAnswer: 0.0005823147","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -6599, -13187, -19789, -26411, -33059, -39739, -46457?\n\"Answer: -f**3 - f**2 - 6578*f - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + f = 5*f - 28, 2*a - 4*f = 14. Suppose 40 = a*s - 5*s. Is s a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 71415169*t - 3351533 wrt t.\nAnswer: 71415169","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (83*w - 83*w + 16*w**3)*(16*w**2 + 6*w**2 + 4*w**2)*(1 - 3 + 3).\nAnswer: 416*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + 3*m + (0 + 0 + m)*(-1 + 5 - 3) + 2*m + 2*m - 6*m + 2*m + 3*m + 8*m + (-13*m + 26*m + 16*m)*(-1 - 1 + 3).\nAnswer: 44*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/25*10\/8?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3500297 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -12*r**2 - 6*r + 3. Let k(l) = -2*l**2 + l - 2. Let g(p) = -b(p) + 4*k(p). Let i(m) = -2*m**2 - 5*m + 5. What is 4*g(a) + 9*i(a)?\nAnswer: -2*a**2 - 5*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 0. Suppose -2*b + 10 = -b. Let k = b - a. Is k a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 195 and 793.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*g - 20 = 71*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2178 - -2166 - (52 - 1)\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 23a91 (base 14) in base 2?\nAnswer: 10101010001101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, 4, 1103 in decreasing order.\nAnswer: 1103, 4, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -7*f**2 + 452*f + 162. Let y be a(63). Calculate the highest common factor of 95 and y.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4935811483 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 5*m - 20, 2*m + 6 = 5*m. Solve 3*x = -y*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*g**3 + 381*g - 759*g + 384*g - 2*g**2 to the form a*g**2 + m + u*g**3 + c*g and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1.2 (b) 15.663 (c) 25 (d) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22107, 43888, 65679, 87480, 109291, 131112?\nAnswer: 152943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1383 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(3\/4))\/t**(-1)*(t**(-2\/9))**(4\/3) assuming t is positive.\nAnswer: t**(265\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yqyu when four letters picked without replacement from qyuydye?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 817?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*v + 44. Suppose 6*w - 34 = 921*s - 919*s, 9 = 3*s + w. Solve 2*r + s = -3*p + v, 4*r = -2*p + 8 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 - 22*h - 20. Let x be j(23). Let c(t) be the second derivative of x*t + 0*t**3 + 0*t**2 + 0 + 7\/12*t**4. Let z(q) = q**2. Calculate z(c(u)).\nAnswer: 49*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*u**5 - 15*u**5 + 2*u**5)*(1 - 1 - 1)*(45 - 73 - 76).\nAnswer: -2288*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -665360 rounded to the nearest 1000?\nAnswer: -665000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3891 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -108, -68, 1169, -2, 1 in descending order.\nAnswer: 1169, 1, -2, -68, -108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.8 - -124.\nAnswer: 127.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 85.05 - 85. Is 1\/6 greater than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1372172.\nAnswer: 2, 17, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20120 - -12?\nAnswer: 20202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 30336*t - 21. Let m(g) = 18*g. Determine m(a(y)).\nAnswer: 546048*y - 378","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 669096, -1, -2.\nAnswer: -2, -1, 669096","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -54*u**4\/5 - 950748*u**3 - 139508708976*u**2\/5 - 1365299127392148*u\/5 - 12579230551212858\/5 = 0.\nAnswer: -29341, -83\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -168 + 344 - 166 - 20*g to p*g + r and give p.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6 + 0)*(8 - 7). Let y = w - 12. Is 520\/6 - y\/18 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 - 2 - 16\/24. What is the smallest value in -5, 1, -2, t?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 45147?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -22*x - 6. Let z be v(-4). Let f be (2 - z)*(-2900)\/(-8). What is f rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 1 + 2*y - 38*y**2 - 34*y**2 + 71*y**2 + y**3 + 0 - 2. Determine r(3).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 14*s**3 + 2*s**2 + 44*s. Let k(w) be the third derivative of w**6\/120 - 45*w**2. Let f(b) = -2*k(b) - u(b). Find the second derivative of f(m) wrt m.\nAnswer: -96*m - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 499097483 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4161)\/(-2) + (-20)\/8 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -46*y. Determine l(-1).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 579, 1197, 1765, 2259, 2655, 2929, 3057?\n\"Answer: -4*w**3 - w**2 + 649*w - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 23 - 5. Suppose -l = 2*v - 48. Suppose 4*k - 17 = -5*q, -2*q + 5*q - v = k. List the prime factors of q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/24*-2)\/((-25)\/100)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-72)\/((-36)\/3))\/(3\/136). Calculate the highest common factor of a and 5032.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1666961 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1539 and 162.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -361614063*t + 863079118.\nAnswer: -361614063","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*x + 4 = -59 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*g - 10304 + 10304.\nAnswer: 25*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3853.814 - 3853.9939927. Let z = -0.18 - n. What is z rounded to 6 dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -b**3*i*n*z - 20*b**3*i*n + 4*b**3*n**2 - 17*b*i**2*n**2 + 3*b*i**2*n*z - 9*b*i*n + 3*i*n**2*z + 2*n*z wrt n?\nAnswer: 8*b**3 - 34*b*i**2 + 6*i*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -223*o - 2*o**2 - 43*o**4 - 218*o + 489*o wrt o.\nAnswer: -516*o**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.06185 from 0.067141.\nAnswer: 0.128991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -55*z + 1178*z - 119 - 2371*z**2 + 123 wrt z.\nAnswer: -4742","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74972199 to the power of 1\/2, to the nearest integer?\nAnswer: 8659","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - -1) + (-1 + 3 - 2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/3))**(14\/5)\/(q**(-1\/7)\/q**(-6))*q**(-1\/8)*q**(-1\/5)*(q\/((q\/q**0)\/q)*q*q)**(3\/4) assuming q is positive.\nAnswer: q**(-4871\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -33 + 33 - (-2 + 6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*b**2 + 64810024583*b**3 - 30*b**2 - 64810024577*b**3.\nAnswer: 6*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -211*j + 206*j + 3*b - 227 = 0, -18*j = -4*b + 246 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 35\/246 + 1\/41. Let a = 1.1 + -1.1. Is a at least as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.02, -2\/3, 28\/5?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 216848 or 216844?\nAnswer: 216844","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4886 + -4880.586. Let l = -95 - -100.3. Let s = l - b. What is s rounded to 2 dps?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 + -2)\/((-1)\/(-2)). Suppose n + r = 0, -19 = -3*n + y*r + 2. Let a**3 + 5*a**5 - 3*a**3 - 6*a**5 + 3*a**n = 0. What is a?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5644 or -16928\/3?\nAnswer: -16928\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 247644 and 22788?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t = 87*t - 98. Do t and 1\/3770 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -46*o**2 + 8*o**2 + 106*o**2 to the form u*o + y + l*o**2 and give l.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 + 4*y**2 - 5*y. Let d be i(-5). Suppose 3*x = -5*j + 124, 0 = 4*x - 12 - d. Suppose 0 = k + j - 110. Is 29 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.516896 + -0.0667976. Let x = y - -0.1499006. Let n = 0.6 - x. What is n rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 9*b - 2. Suppose 138 = b*p + 3*y, 0*p - 5*y = -5*p + 260. Is p a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1\/51 - -7\/68. Which is the nearest to 1\/26? (a) -5 (b) 2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 3835290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -51510*d**2 - 2*d - 871168 wrt d?\nAnswer: -103020*d - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12060622*j**4 - 9958507.\nAnswer: -48242488*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3 - 9375670*f**2 + 18751334*f - 9375666.\nAnswer: 2*(f - 4687833)*(f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5357 - 5353. Solve 5\/2*v**2 - 1\/2*v**3 + 2 - k*v = 0 for v.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -220518, -220521, -220524?\nAnswer: -220527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j\/j**(1\/10)*j*j)\/j*j)\/(j\/(((j\/(j**(-17)\/j))\/j)\/j)))\/(j\/(j*j*j\/j**(5\/4)*j)*j**(-4\/5)))**(1\/7) assuming j is positive.\nAnswer: j**(429\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -3*w**2 - 159*w + 77. Determine t(-51).\nAnswer: 383","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 35 = b, -3*b + 16 = n - 5*b. Suppose 77 - 17 = n*r. What is the remainder when r is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1533.38083 to 0 decimal places.\nAnswer: -1533","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 771067.1 litres to millilitres.\nAnswer: 771067100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1772116 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7589 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o\/(o*o*o**(-1\/3))))\/(o\/(o*o**(-2\/13)\/o))*(o**2)**48)**(-4\/31) assuming o is positive.\nAnswer: o**(-14900\/1209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*f**2 - 8*f**2 + 2*f**5)*(0 + 0 - 1)*(3 - 1 - 8).\nAnswer: 12*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*q**3\/10 - 4008*q**2\/5 - 67043*q\/10 - 8844\/5 = 0 for q.\nAnswer: -8, -3\/11, 737","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1338897, 1338891, 1338885, 1338879, 1338873, 1338867?\n\"Answer: -6*j + 1338903","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 10*m + 3. Let w(d) = d + 1. Let z(c) = -j(c) + 2*w(c). What is the remainder when z(-9) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 61\/53 (b) 6 (c) -3\/2 (d) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/91)\/o**(-1\/3))\/(o**8*o*o\/o**(18\/11)) assuming o is positive.\nAnswer: o**(-24181\/3003)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 4*l + 102, -8*u + 3*u - 255 = -2*l. Sort -5, u, -4.\nAnswer: u, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 - 6*y - 4. Let g be u(-3). What is the nearest to 12 in 0.5, -2\/9, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 + -6. Let h(s) = -s**3 + 8*s**2 + 8*s + 12. Let o be h(r). Solve 5*k + 5*n + 15 = 0, o*k - 2*k - 5*n = 9 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/32 of a kilometer?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 5*i + 5 = 0, 0 = -3*h - 5*i - 9 + 4. Let o be ((-3)\/(-21))\/(3\/(-2985)). Let w = 142 + o. Does h = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11569.73531 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -4*d + 29. Let t(b) be the first derivative of b**4\/4 + b**2\/2 - 5*b + 20. Let k be t(2). Calculate the lowest common multiple of 13 and j(k).\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 41002*n**2*w + n*w + 238*n + 7*w wrt n.\nAnswer: 82004*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 11*(-48)\/(-176)*1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 226731*y**3 - 29*y**2 + 2221?\nAnswer: 1360386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 444 and 2455556?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -85, -31, 59, 185, 347?\n\"Answer: 18*k**2 - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 3:28 PM?\nAnswer: 6:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j - 1853 + 6*j**2 + 1853)*(-j + j**3 + j).\nAnswer: 6*j**5 + 3*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 50719.9 rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -22. Let c = b - 11. Sort 0.2, c, -2\/11 in decreasing order.\nAnswer: c, 0.2, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/20 at most as big as -1.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -18 divided by 72\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tjjlxcco. What is prob of sequence xo?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5784 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 137*m + 206*m - 3 - 1 - 25*m + 84*m in the form v + a*m and give a.\nAnswer: 402","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = 5*y - 13*y - 47, -5*y = 4*r for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -162, -175, -202, -249, -322?\nAnswer: -427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -257*l = 52*l + 232*l - 11361 for l.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 2:02 PM?\nAnswer: 5:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 116*z + z**2 - 116*z + 5 - z**3 to the form b*z + q*z**2 + g + v*z**3 and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 2*x + 2 = 0, 3*g + 3*x + 0*x = 12. Suppose 18*w - 8*w = g*w. What is the fourth smallest value in -5, w, -1\/3, -0.3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 l, and 1 s when three letters picked without replacement from {l: 4, s: 2, k: 5}.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -127, -277, -427, -577, -727, -877?\nAnswer: -1027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -49*n**4\/2 - 175*n**3\/2 - 44*n**2 - 6*n.\nAnswer: -n*(n + 3)*(7*n + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of s**7\/30 - 65*s**4\/24 + 2944*s**3\/3 + 2*s**2 + 26*s + 19. What is the first derivative of b(u) wrt u?\nAnswer: 28*u**3 - 65","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18*17779.\nAnswer: -320022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 348294.\nAnswer: 2, 3, 58049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 18 = 4*o, -5*j + 4 = -2*o - 2. Suppose j*h + 35 = 7*h. Is h a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*g**5 + 5*g**5 - g**5 + (-3*g - g + 2*g)*(-2*g**4 - 3*g**4 + 4*g**4) + (2*g - 2*g - 2*g)*(-3*g**2 + 2*g**4 + 3*g**2).\nAnswer: -g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.07 - 0.14. Let u = 30.333 + -30.2. Let n = i + u. Round n to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*o, 0*o = 4*w + 3*o - 357. Let y = w + -3. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -0.3, 1\/203, -1, -0.1?\nAnswer: 1\/203","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04 + 1056476.\nAnswer: 1056476.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 412*h - 161 = 435*h for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1166)\/(-2915))\/(((-14)\/10)\/1)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3024 and 3402.\nAnswer: 27216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(7) + sqrt(63)) - ((sqrt(7) - (sqrt(7) + sqrt(63)\/sqrt(9))) + 2)) + ((-2*sqrt(14)*6)\/(sqrt(2) - 1*sqrt(200)))**2.\nAnswer: 94\/9 + 21*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-13353)\/(-2478) + 2\/4. Let x = 4485143\/33040 + s. Let n = 691\/5 - x. What is the common denominator of n and -139\/6?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 2*i - 43 + 3 = 0, i = -2. Solve 4*x + 3 = q - 3, -a = 5*x - 3*q for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9900.99g in kilograms?\nAnswer: 9.90099","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 l when two letters picked without replacement from {l: 5, f: 2, r: 3}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 + 8*p - 4. Let g be o(-9). Suppose -m + 3*n + 8 = -11, -n = g*m - 63. Calculate the highest common divisor of 39 and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 4. Let x be 3\/(-9)*0\/i*1. Solve 3*r + 31 = 4*c, 3*c + x*r - 17 = r for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 - 3*b + 10. Determine t(4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -263*y**2 - 603*y + 178873 wrt y?\nAnswer: -526*y - 603","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.1 + -7.1. What is the closest to 0.1 in 5, 1\/4, g?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from {c: 4, w: 6, r: 1, o: 4}.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 587573 is divided by 34563?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-160)\/4)\/(-10) + -9. Which is the nearest to 0.5? (a) -1\/3 (b) 5 (c) 3 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 10*g - 10. Let w(r) = -9*r + 9. Let i(s) = -4*j(s) - 5*w(s). Find the first derivative of i(n) wrt n.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of -9*o**4\/4 - o**3\/3 - 14*o**2. Let v(b) be the second derivative of -2*b**3\/3 - 3*b + 372. Determine v(j(s)).\nAnswer: 216*s + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 67721, 135425, 203109, 270773, 338417?\n\"Answer: -10*z**2 + 67734*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ny when two letters picked without replacement from {y: 5, w: 3, j: 1, n: 2, z: 6, k: 2}.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14.11 + -15. Let j = s + 0.39. What is the smallest value in -2\/3, -2, j?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 12 = 5*t, -5*i + 2*t = 17. Let k be (-46)\/(-10) - (-3)\/i. Solve -k*g + 3 = -g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3395432 is divided by 1744.\nAnswer: 1608","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 12631.8 to the nearest 1000.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4772, 9557, 14342?\nAnswer: 19127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -915.737 to 0 decimal places.\nAnswer: -916","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 - 9*s - 12. Let k be 27\/(-9) + 1*-5. Let y be x(k). Which is the fourth biggest value? (a) -0.1 (b) y (c) -2\/9 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -105*i. Let l(q) = 35799*q**2 + 2*q. What is d(l(a))?\nAnswer: -3758895*a**2 - 210*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -295*s**2 - 30*s - 8052 wrt s.\nAnswer: -590*s - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -7*l. Let a(p) be the second derivative of p**3\/6 - 10*p. Determine a(u(f)).\nAnswer: -7*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -107900000 rounded to the nearest one million?\nAnswer: -108000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 30*m - 1910*m + 383*m - 543*m in the form y*m + k and give y.\nAnswer: -2040","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 206 or 1936\/91?\nAnswer: 206","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 71399617 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14693?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.064 - -1.936. What is the nearest to 0.3 in -1, 0.5, d?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 125369309.6 to the nearest 1000000.\nAnswer: 125000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 182ac (base 16) to base 4\nAnswer: 120022230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-1\/3)*d)**(-15))**(16\/3) assuming d is positive.\nAnswer: d**(-560\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216*i - 119394 = 664*i + 961*i + 65*i for i.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 + 4*z - 1. Let y be i(-3). Let s be (-2 + 3)*1\/(-2)*2. Sort y, s, -2 in decreasing order.\nAnswer: s, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a week in hours?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -8*r - 3. Let y(a) = -275*a. Let v(l) = -6530*l. Let w(s) = 4*v(s) - 95*y(s). What is w(g(x))?\nAnswer: -40*x - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 7, b: 7}. Give prob of picking 1 b and 1 m.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 + 3*o + 2. Let m = -9 + 5. Let t be y(m). Find the third derivative of -3*s**2 + 2*s**t - 21*s**6 + 9*s**6 + 8*s**6 wrt s.\nAnswer: -240*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j\/(j**0*j*j)*j)*j*j*j*((j\/(j*j**(4\/9)*j))\/j)\/j)**10 assuming j is positive.\nAnswer: j**(-40\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 306.9458 minutes to nanoseconds.\nAnswer: 18416748000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.8 times 0.2817?\nAnswer: 7.54956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1333 + -1320. Solve d*v = 10*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-48)\/40)\/3)\/((-1)\/10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13205 and 285?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/12)\/(-1*3\/12).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15114 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -157 + 295. List the prime factors of x.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -53*d - 42*d + 11 - d**2 + 88*d. Let g = -357 + 349. Give p(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 5 = -4*l + 502, -3*l = -5*c - 424. Let t = l + -55. Suppose 58 = 5*g - g - 2*m, -3*m = 5*g - t. Solve g = 3*o - 6*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2104473.6 months in decades?\nAnswer: 17537.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 358 is divided by 90.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 16e514 (base 16) to base 14\nAnswer: 2b0b40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 17? (a) 3 (b) 0.03 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 155229 is divided by 78?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4884 - -4875. Which is the biggest value? (a) 0 (b) 7 (c) m (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -14216943 and -14216944 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 + -12. Suppose 2*z = 2*x + 4, 2*z - w = -z + 5*x. Let h be z\/18 + (-46)\/(-12). Solve -14 = h*k - 2 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 307, -24, 4, 0, -2 in decreasing order.\nAnswer: 307, 4, 0, -2, -3, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 4*4\/2*(-18)\/48\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -431 + 430.9659. Let f = g + -44.6659. Let j = -49 - f. Round j to zero decimal places.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 13*j**3 + 11*j. Is i(3) a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 176\/71?\nAnswer: 176\/71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 divided by -2290921?\nAnswer: -34\/2290921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -47 - -57. What is the remainder when 58 is divided by i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 7. Let w(d) be the second derivative of d**3\/6 + 7*d**2\/2 - 20*d + 1. Calculate w(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61.14688 millilitres in litres?\nAnswer: 0.06114688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*x - 32*x - 10 = 0. Solve 3*c + x = -1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/n**(2\/9)*n)\/n*n)\/(n\/((n**(10\/7)*n)\/n)*n)*n**(-15)\/n**(2\/21))**(4\/7) assuming n is positive.\nAnswer: n**(-500\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-46)\/(-115)*460\/(-40)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, g: 2, t: 1, m: 2, q: 3, n: 2}. What is prob of sequence vnq?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1301622 and 288.\nAnswer: 62477856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 1. Let k(a) = 144*a + 12. Give k(q) - 12*n(q).\nAnswer: 144*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of 5*r**9\/3024 - r**8\/168 + r**6\/36 - r**5\/24 + 13*r**3\/6 + 24*r**2. Let z(m) be the first derivative of p(m). Factor z(v).\nAnswer: 5*v*(v - 1)**3*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/6*(0 - 0). What is the closest to 0.3 in 5, z, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f**3 + 7*f**3 + 72*f**2 + 5*f**3 + 0 + 1.\nAnswer: 12*f**3 + 72*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (117\/(-18) - -6)\/(((-7)\/8)\/7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(((-24)\/20)\/(-6))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/16*(-6)\/15*19\/((-228)\/(-144))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1294484, 2588730, 3882976?\n\"Answer: 1294246*h + 238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -121, -498, -1111, -1960, -3045?\nAnswer: -4366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3340*n**3 + 1 - 1 - 45545*n**3.\nAnswer: -48885*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35 and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13067000 rounded to the nearest one million?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000331 rounded to five decimal places?\nAnswer: -0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11*(-130)\/(-572)*1\/(315\/(-1)).\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (89\/(-356))\/(693\/504)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 + 7*y**2 + 4*y - 2. Give q(-5).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4367839\/15 + 291055. Is u at least as big as -133?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/18 - (164\/3)\/4. Are 2 and k non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.02 + 0.48. What is the nearest to -11 in -0.4, b, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 0 = 3*h. Let p be (h\/5)\/((-8)\/1880). Let m = p - -219. List the prime factors of m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -31 - -0.124.\nAnswer: -30.876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20892903.\nAnswer: 3, 41, 59, 2879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(637) - (sqrt(637) - -3*sqrt(637)*-2 - sqrt(637)))**2 - (-2 + sqrt(637) + -4).\nAnswer: -7*sqrt(13) + 31219","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -3*w. Let f(i) be the first derivative of -i**5\/30 + 5*i**2 + 12. Let n(z) be the second derivative of f(z). Determine q(n(h)).\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 14523040, 29046080, 43569120, 58092160?\n\"Answer: 14523040*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14409 is divided by 33?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*b + 44*b - 128*b + 50*b.\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29200 divided by 40.\nAnswer: 730","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 10182, 40652, 91434, 162528, 253934, 365652, 497682?\n\"Answer: 10156*b**2 + 2*b + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3213 - 111?\nAnswer: 3102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 10001001120010 (base 3) to base 9\nAnswer: 3031503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11787569561 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 70 and 5?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 421750 (base 10) in base 11?\nAnswer: 26895a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + 14*n**2 + n + 7. Determine v(-14).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/4, -0.11, 2\/17, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/(c\/(c\/c**(1\/22)))))\/c**(-14) assuming c is positive.\nAnswer: c**(309\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -736*q. Let m(d) = -36 - 29 + 100 - 2*d**2 - 35. Determine y(m(i)).\nAnswer: 1472*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 368087 or -0.81?\nAnswer: -0.81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1.367 - 12.2855\nAnswer: -13.6525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -307, -1239, -2791, -4963?\nAnswer: -7755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/10 + (3\/30)\/(-1). What is the third biggest value in -5, -9, t?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 3*p**2 - 5*p - 5. Let z(u) = 9*u**2 - 6*u - 1. Let w(t) = 5*t**2 - 3*t. Let v(m) = -5*w(m) + 3*z(m). Give 5*v(n) - 3*x(n).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of 1\/20*q**5 - 3 + 1\/12*q**4 + 0*q**2 + 4*q - 1\/3*q**3. Let p(x) be the first derivative of c(x). Find u, given that p(u) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 602086 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -9*k**2 - 7*k. Let l(i) be the third derivative of 0*i**4 + 0*i**3 + 1\/30*i**5 + 0*i - 3 + 4*i**2. Determine x(l(g)).\nAnswer: -36*g**4 - 14*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -274 - 356 = v. What is v rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 509039340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 74.60092 micrograms?\nAnswer: 0.00007460092","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 96 = -2*y. Let m = 42 - y. Let f = 0 - -6. Calculate the smallest common multiple of f and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1255.9 to the nearest 100.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-7))\/(8\/10) + (-7179)\/(-33502).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4\/7, -6, 0.1, -3\/5?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 1 - (3 + -6 + 6 + 1)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -226*w - 5306 = -26057 - 5013 for w.\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*u**2\/9 - 34106*u\/9 + 17054\/9 = 0. Calculate u.\nAnswer: -8527, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 4:08 AM?\nAnswer: 4:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 p when two letters picked without replacement from clllklkcllulylpcll?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/(2\/2))\/((-72)\/180). Suppose 3073211 = -s*i + 13473211. Round i to the nearest one hundred thousand.\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/9)\/((-63)\/(-42)). What is the biggest value in 3, 1, m, -1\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 91, 106, 143, 214, 331, 506?\n\"Answer: 2*w**3 - w**2 + 4*w + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 126 by -1.\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - -1 - (-3 + -1). Is 21 - -60 - l\/2 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0874 + 4.1826. Let u = f + -4.270188. What is u rounded to five dps?\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 61 and -0.4?\nAnswer: -24.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of -m**5\/20 - 5*m**4\/6 - m**3\/6 - 5*m**2\/2 - 3*m. Let q be -10*1\/3*3. Let z be s(q). Solve -z*y + 0*y = 15 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 108*l - 6808. What is d(59)?\nAnswer: -436","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17832 (base 10) to base 4.\nAnswer: -10112220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, 31, 36, 35, 28?\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10)\/(-35) - (-78)\/21. Suppose q + m*l = 3, -4*l + 9 = 3*q - 2*l. Let n(r) = 6*r - 3. Let x be n(q). Solve -3*w + x = 3 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -89, -1, 1078197.\nAnswer: -89, -1, 1078197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 9. Let o be ((-8)\/(-6))\/((-4)\/(-6)). Suppose -4*r = 2 + o. Sort r, -3, v in decreasing order.\nAnswer: r, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c, 1 i, and 1 q when four letters picked without replacement from qcknnnqhchcqqkqcihkh.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**3 - 8*b**3 + 26*b**2 - 5 + 3.\nAnswer: -9*b**3 + 26*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - 4. Let o be (5\/(-2))\/(1\/k). Calculate the greatest common factor of o and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5161 and 208.\nAnswer: 82576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-470 + 207 - 279 - 358)*(3 + 3*t - 3 - 3 - 2*t + 3 - t + t - t - 3*t - t + 6*t - 3*t + 0*t + t + (-2*t - 2*t + 2*t)*(1 + 2 - 1) - t - 2 + 2).\nAnswer: 4500*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -15*r**5 - 190*r**4 - 645*r**3 - 710*r**2 - 240*r = 0.\nAnswer: -8, -3, -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 3006*u**2 + 8827*u**2 + 1 - 2988*u**2 - 3091*u**2.\nAnswer: -258*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 10013, 20022, 30031, 40040?\n\"Answer: 10009*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -241 - 6*j**3 - 99167*j + 198344*j + 241 - 99177*j.\nAnswer: -6*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 + -14. Let s = -1.5 - -2.1. Which is the third smallest value? (a) r (b) s (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 174, 126, 78?\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k**2 + 104*k - 906. Let b be h(10). Solve b = 2*a + 324 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7332.694 litres to millilitres.\nAnswer: 7332694","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42 and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 1. Suppose -a + 30 = 2*a. Suppose 5*g = f + 12, -4*g + 0 = -2*f - 6. Solve x*s - r + 1 = -4*s, -g*r = s + a for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 + b - 1. Let o(g) = -3*g**2 + 4*g - 3. Let w(x) = -11*i(x) + 4*o(x). Let t be w(3). Let k = 2.6 + -3. What is the nearest to 2 in k, 0.2, t?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(0 - 1 - -7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 7:56 AM?\nAnswer: 2:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1164863 is divided by 65.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of 21*d**2 - 102*d + 287. Let j be l(3). Let u = 10 - 4. What is the greatest common divisor of j and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - -12533?\nAnswer: 12534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v + 3*v - v)*(-2 + 2 + 1) + 0 - 2*v + 0 + v - 3*v + v - 1 + 25*v + v + 3*v.\nAnswer: 25*v - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - 110010110001110000?\nAnswer: -110010110001110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(4 + (sqrt(304) + 2)*6 + 4))**2.\nAnswer: 34560*sqrt(19) + 408384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -106440*d**4 + 72*d**2 + 3*d + 516 wrt d.\nAnswer: -2554560*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -145\/48258 and -53\/18.\nAnswer: 48258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1050*t**2 + 3*t**3 + 1050*t**2.\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -151 + 155. Let y(v) = v**2 + 5*v + 6. Let h be y(-6). Suppose -c + 5*c - h = 2*i, -3*c + 3*i + 12 = 0. Put c, -2, n in increasing order.\nAnswer: -2, c, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42 - 1) + -21 + (82 - 71).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 12*t - 23*t**2 - 6*t - 5 - 8*t as u*t**2 + j*t + w and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(882) + sqrt(24)\/(sqrt(192) - ((sqrt(192) - (sqrt(192) + (1*sqrt(192) + sqrt(192) - sqrt(192)) + sqrt(192))) + sqrt(192))) + -3)*-6)**2.\nAnswer: -4563*sqrt(2) + 259641\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 36560837 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 2:14 AM?\nAnswer: 2:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -15*c - 27 - 4*c**2 + 28 + 10*c. Let j be f(1). Let a(d) = -d**2 - 8*d - 4. Give a(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3432098 is divided by 1814.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-13)\/3 - -3)*9. Let y be (-24)\/126*x\/8. What is the biggest value in y, -7, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + 19*v**2 + 18*v - 634. Let p be k(18). Suppose 1222 = 3*c - 65. Suppose -17*l = -p*l - c. List the prime factors of l.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 1) + 1 + 1 + -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + 0*q + 0*q)*(2 + 3 - 3) - q + 3*q - q.\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 4*t**2 + 45*t + 4. What is the units digit of n(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -80*h - 981. What is u(-10)?\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-5\/4)*n)\/(n\/(n\/n**(1\/2)))*n*n**(1\/8)*n*n\/(n\/(n*n**(-9)*n)) assuming n is positive.\nAnswer: n**(-37\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s*s*s*s\/s**(-2\/3)*s*s**(-1\/6)*s*s*s**2*s**2*(s**(-3\/2)*s*(s*s*s\/s**(-1\/5)*s)\/s)\/(s**(-1\/7)\/((s\/s**3)\/s)) assuming s is positive.\nAnswer: s**(432\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = 2*r - 10, 5*r + 0*i = 3*i + 25 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -14*v - 7. Let s(c) = -4 + c + 4. Let a(u) = -j(u) - s(u). Is a(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15\/8 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 2*v**2\/3 + 7252*v + 86928 = 0.\nAnswer: -10866, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 + 1 - (-5 + -2 + 5) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 - 9*t**2 - 12*t - 5. Let d be 1\/(-3) + (-138)\/18. What is the remainder when 79 is divided by w(d)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -801719 = -161*j + 984254. List the prime factors of j.\nAnswer: 11093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1341 a factor of 211172634?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 + 17*a**2 - 39*a - 16. Let k be y(-19). Suppose 2*i + 69 = 2*m - 21, -k*m = 5*i + 225. Which is smaller: -42 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qllqtylmlpmmmmqlm. Give prob of sequence ytll.\nAnswer: 1\/2856","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 + 3*p**2. Let l be t(-3). Suppose -5*g + 5 + 0 = l. Let m be -3 + g + -5 + 17. Solve 2 = 4*q + m for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -4*c**5 + 5*c**3 - 26*c. Let q(x) = -5*x**5 + 6*x**3 - 26*x. Let k(a) = 6*j(a) - 5*q(a). What is the second derivative of k(d) wrt d?\nAnswer: 20*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187197 greater than or equal to 187197?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -2\/3, 16, 101, 0.5, -69?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 + 8. Suppose x*o - 6 = 3*o. Suppose 5*c + 2*y + 5 = 16, -4*c = -5*y + 11. Sort o, 2, c.\nAnswer: o, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.8*-17014\nAnswer: 13611.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j - 1. Let p(u) = -2*u + 6. Let q(n) = -3*o(n) - p(n). Let w be 3\/6*-1*(-1 - -1). Calculate q(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 50883.3338 - -2752.\nAnswer: 53635.3338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 156, 575, 988, 1395, 1796?\n\"Answer: -3*u**2 + 428*u - 269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8 - (-24)\/(-9 - -5). Let q(t) = -t**2 + 14*t + 21. Let f be q(15). Calculate the highest common divisor of f and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 111374393 to the nearest integer?\nAnswer: 481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-480)\/(-42))\/4*7*-1*(-3045)\/(-870).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/10)\/(14\/35)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 6345*y**2 - 69796*y + 5. Give j(11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*((j\/j**(-1\/2)*j)\/j*j)\/j*j**(-5))\/(((j*j**(-3\/5))\/j)\/j*j**(1\/16)\/j) assuming j is positive.\nAnswer: j**(3\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) - (1 + sqrt(117))) + sqrt(117) + 4 - sqrt(117)*-4*4.\nAnswer: 3 + 51*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 710600.\nAnswer: 2, 5, 11, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5243*k - 48001 - 132985 = 49706 for k.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -9+57\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(18)\/(sqrt(6)*2 - sqrt(6)) + -2*(sqrt(48))**2 - (4 + -4*sqrt(108))).\nAnswer: -102 + 25*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -138036 and 3045?\nAnswer: -420319620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 827 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 24\/9 - (-308)\/(-154). Factor 0*n + 0 + 2\/3*n**4 - 2\/3*n**2 - c*n**3 + 2\/3*n**5.\nAnswer: 2*n**2*(n - 1)*(n + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -51*h**2 + 37*h - 3. Let x(z) = -253*z**2 + 185*z - 16. Give 11*c(t) - 2*x(t).\nAnswer: -55*t**2 + 37*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of 23*y**7\/210 - 19*y**4\/12 + 94*y**2. What is the second derivative of t(m) wrt m?\nAnswer: 276*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x. Let j(c) be the first derivative of 2*c**2 - 5. Suppose -z - 2*z + 6 = 0. Let k(b) = z*j(b) - 3*p(b). Let t(r) = -6*r. Determine k(t(w)).\nAnswer: -12*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*y - 57 = 17. Let r = -103\/30 - -10\/3. Which is the second biggest value? (a) y (b) r (c) 36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 - 6*t**2 - 6*t - 2. Let d be b(7). Suppose 0 = -d*c + 20, i - 139 + 27 = c. Suppose 19 = 3*x - i. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.06657 to 1 decimal place.\nAnswer: -6.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and 6 + (3 - 4\/4).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p = 41*p - 2356. Is p a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.31 - -30425.5729.\nAnswer: 30425.8829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 251963769.\nAnswer: -2\/251963769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (9\/12)\/(15\/(-10)). What is the nearest to 0.1 in j, -1\/4, -1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1083113854.\nAnswer: 2, 139, 3896093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 811 + -801. Solve -5*k - b = -3*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28592 - 1774. Is t a multiple of 106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (128 - 99 - 78)*(0*q - q + 8*q)*(4*q + 3*q - 5*q)*(2*q + 3*q - 4*q).\nAnswer: -686*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (33\/45)\/(4389\/(-49210)).\nAnswer: -74\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 175 = -637. Let i = -76 + u. Is i a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 7 + 9 - p**2 + 3 + p. Let i be t(0). What is the smallest common multiple of 2 and i\/1 + (1 - 0)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/936 and 19\/261784?\nAnswer: 30628728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 2169.052397 to 1 dp.\nAnswer: 2169.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of 4*y**3\/3 + 4*y**2 + 33. Factor f(p).\nAnswer: 4*p*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 + 4*q + 13. Let d be a(6). Let t(w) be the second derivative of -w**3\/6 + 3*w**2\/2 - w. Let x be t(3). Which is bigger: d or x?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7\/2 or -2364?\nAnswer: -2364","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 2 + 10 = 0. Let m be 2280*-2*10000\/a. Round m to the nearest 1000000.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k**2. Let n(x) = -x - 2. Let z(t) = -2*t - 7. Let y(d) = 7*n(d) - 2*z(d). Calculate y(j(g)).\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.549373ns to seconds.\nAnswer: 0.000000004549373","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 34 and 153?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*f + 16*f + 8*f in the form y*f + k and give y.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*t**2 - 4*t**2 - 9*t**2 - 5*t**2.\nAnswer: -32*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86*i - 84*i + 171*i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kv when two letters picked without replacement from {v: 1, k: 8, p: 10}?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4487 is divided by 1948?\nAnswer: 591","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**2\/3 + 484*j.\nAnswer: 4*j*(j + 363)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/17)*y**(-10))\/(y**(-3\/8))**21 assuming y is positive.\nAnswer: y**(-273\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2209*p - 32*p**2 - 2209*p.\nAnswer: -32*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 7efb (base 16) to base 11\nAnswer: 22472","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/((-2)\/(-2))*((-2774)\/97090)\/(1\/(-371))?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3\/3 + 4465*t**2\/3 - 44575*t\/3 + 37125.\nAnswer: -(t - 4455)*(t - 5)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 355225087 to the power of 1\/4, to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-9)\/3 + 2)*-26. Suppose c - 2*c - 2*y - 5 = 0, 4*c + 5*y + j = 0. Let z = c - -23. What are the prime factors of z?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 8294*i - 1453. Let v(f) = -8*f**2. Determine n(v(x)).\nAnswer: -66352*x**2 - 1453","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-g - 3 + 3)*(2 + 0 - 1)*(-2*g + 2*g - 3*g**2) - 6*g**3 + 8677*g - 3 - 8795*g + 7*g**3 in the form i*g**2 + k*g + b + x*g**3 and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -58384344, -58384340, -58384336, -58384332, -58384328, -58384324?\n\"Answer: 4*p - 58384348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*v + 2*v**3 + 5*v - 4*v - 6*v wrt v.\nAnswer: 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(-4)*-4 - 53. Let b be (-4)\/(-14) - (-37)\/(-7). Let d = b - g. What is the greatest common divisor of 18 and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 97 - 42 = g, 4*g + 16 = 0. What is the remainder when 106 is divided by i?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 AM and 12:48 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n. Let d be c(-4). Let y be (2\/8*-2)\/((-3)\/12). Let q(h) = -3*h - h**2 + y*h + 6 - 1. Calculate q(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 721962469 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 517 divide 1539953532?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-3) + (0 + 0 - -2). Is 23\/(-2 - 11\/(-5)) - t a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(78)\/sqrt(6) + -2)*4.\nAnswer: -13 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 10 (b) -2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -582*y = -638*y + 246008. What are the prime factors of y?\nAnswer: 23, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 350940 divided by 5\nAnswer: 70188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*d**3*v**2 - 499*d**3 + 233*v**3 wrt v.\nAnswer: -4*d**3*v + 699*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 12:48 AM?\nAnswer: 1:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83 is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3178716258?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of -3\/4*c**4 + 4\/3*c**3 + 5 + 0*c + 3\/2*c**2. List the prime factors of d(-2).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18312 = -26*v - 30*v. Let h = -132 - v. Calculate the greatest common factor of 15 and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + 760?\nAnswer: 75a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 3, 1\/9, 4, 5, 1.74, 0.14, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*g + 41*g - 78 - 7 = 0 for g.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of (1 + -211)\/(3 - 20\/4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65\/26*(24\/15)\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29\/5 + -92\/15. Suppose -p + 43 = -2*b, 3*p + 26 = -5*b - 131. What is the smallest value in -1, b, y, 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h**2 + 3*h + 1. Let k(q) = 7*q**2 + 8*q + 3. Let z(b) = -4*k(b) + 11*u(b). Let m(s) = s**2 - 8*s + 1. Let j be m(8). Give z(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3138 - -6.\nAnswer: -3132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -53, -11, 4, 2, 1333, 0.3 in ascending order.\nAnswer: -53, -11, 0.3, 2, 4, 1333","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106611 is divided by 650?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 142, 592, 1342, 2386, 3718, 5332, 7222?\n\"Answer: -t**3 + 156*t**2 - 11*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 630516248 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 53232.96 nanometers?\nAnswer: 53.23296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4\/(3 + -1)*(2 - -9).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 60926?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-528)\/(-56) + (-279)\/63 + 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15 - 52 - 21*j**2 + 12 + 10 to the form r + u*j**2 + v*j and give r.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 794.\nAnswer: 2, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70704110 - 70704110 - 1381*p**3.\nAnswer: -1381*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 731949.2 litres to millilitres.\nAnswer: 731949200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31403 and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02*1736.\nAnswer: 34.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 222 a factor of 5140540?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11625 divided by -2325.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 83 - 71. Let u(s) = 3*s**2 - 5*s - 6. Let v(o) = -8*o**2 + 14*o + 17. Determine h*v(g) - 11*u(g).\nAnswer: -g**2 - g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83705.65 centimeters to nanometers.\nAnswer: 837056500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o - o - 2*o**2 + (-o + 3*o - 4*o)*(-2*o - 4*o + 7*o) + (0 + 2 - 3)*(-5*o**2 + 0*o**2 + 7*o**2) to the form z*o**2 + t + y*o and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 63 divided by 97\nAnswer: 63\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7320 - -1429.\nAnswer: -5891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1011120012 + 1?\nAnswer: -1011120011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ln when two letters picked without replacement from yyyyyyynlylnyny?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(1\/5)\/g*g)\/((g*g**(-2\/3)\/g)\/g))\/((g\/(g*g**(-9)))\/(g**(-7)\/g)) assuming g is positive.\nAnswer: g**(-212\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 268*o**2 - 3*o - 11. Is t(10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yhyy when four letters picked without replacement from hyhyhhyhhhh?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -156 + 161. Suppose -12*d + g*u - 75 = -13*d, -15 = 5*u. What is the remainder when d is divided by 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -c**4\/2 + 115*c**3 + 231*c**2\/2 = 0.\nAnswer: -1, 0, 231","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 211369.96883 + -3980\nAnswer: 207389.96883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 374*j*q**2*u**4 + 3*j*q - 4*j*u**2 + 16*q**2*u**2 - 2*u**4 wrt u.\nAnswer: 8976*j*q**2*u - 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 17*f*h - f*q**2 + 19*f + 4*h*q - 12*q**2 + q wrt q?\nAnswer: -2*f*q + 4*h - 24*q + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 12*j + 32 = 0. What is the second derivative of -149*x - j*x - 45*x**2 + 14*x - 3*x wrt x?\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4994 divided by -4?\nAnswer: -2497\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/5 - (-64)\/80. Find f, given that 2*f**3 + 88*f**2 - 179*f**b + 94*f**2 - 8*f**4 + 7*f**3 - 4*f**4 = 0.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of -2*s**5\/25 - s**4\/5 + 2*s**3\/15 + 2*s**2\/5 + 8. Factor w(u).\nAnswer: -2*u*(u - 1)*(u + 1)*(u + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*m - 4*m + m)*(-3*m**2 + m**2 + m**2) + 168*m**3 + 74 - 66 - 7 in the form a*m**3 + t*m + l + n*m**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -632002*x**2 - 391*x - 391*x - 261496*x**2 + 782*x.\nAnswer: -893498*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 3, -0.1, -118?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -3 - (0 - 8)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-60)\/72)\/((135\/(-36))\/((-12)\/16)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1178 + -1176. Which is the closest to r? (a) -3 (b) -5 (c) -4 (d) -1\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4\/9, -4, -6 in ascending order.\nAnswer: -6, -4, -4\/9, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.3, -0.4, -14, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 136*s**2 - 25*s + 19. Is t(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in six fifths of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 6819508 to the nearest ten thousand.\nAnswer: 6820000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4029789?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3\/5 of a millisecond?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -212*z**2 + 64*z**2 - 16*z**2 - 179*z**2 - 316*z**2 as m*z**2 + n + s*z and give m.\nAnswer: -659","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2))**(-1\/2) assuming j is positive.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 36*a - 67*a - 6*a**2 + 5*a**2 + 31*a. Let b(t) = 17*t**3 - 4*t**2. What is b(p) - 4*x(p)?\nAnswer: 17*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320)\/sqrt(200) - (sqrt(320) + 3*sqrt(320) - sqrt(320))\/sqrt(8))\/((sqrt(96) + 5*sqrt(96)*2)\/(sqrt(144)\/sqrt(300))).\nAnswer: -14*sqrt(5)\/275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**5 - 14*g**4 + 4*g**3 + 92*g**2 - 130*g + 50.\nAnswer: -2*(g - 1)**3*(g + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/3*(-15)\/10. Let h(x) = -280*x**3 + 5*x**2 + 4*x. What is the units digit of h(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 q when three letters picked without replacement from {h: 6, q: 1, r: 4, g: 3, u: 2}?\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of -1\/10*f**4 + 0 + 0*f**2 + 1\/10*f**3 + 1\/25*f**6 - 3\/100*f**5 - 4*f. Solve w(i) = 0 for i.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - (-6 + 3 + 7). What is the closest to v in -3, -2, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3754230 divided by 1877115.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 16 = -4. What is the third derivative of -9*u**6 + 11*u**2 - 6*u**6 - 28*u**2 - a*u**6 wrt u?\nAnswer: -2280*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -3910 and -0.029072.\nAnswer: -3910.029072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than 3\/9982?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h**3 + 68*h**2 + 6176*h - 99840 = 0.\nAnswer: -39, 16, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 110 = 71. What is the greatest common factor of 13 and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3\/10 + 8491*w**2\/10 + 1803700*w + 27017304\/5.\nAnswer: (w + 3)*(w + 4244)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 3:21 PM?\nAnswer: 8:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -126*x**3 + 49. Let d(t) be the first derivative of 21*t**4\/2 - 16*t - 63. Let o(k) = -11*d(k) - 4*r(k). Find the first derivative of o(c) wrt c.\nAnswer: 126*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 9*o**3 + o**2 - 2*o + 1. Suppose -2*h + 0*h + 2 = 0. Let p be m(h). What is the highest common factor of 9 and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 580 - 416. Suppose -12*s + g = -8*s. Solve -u - 9 = -q, -3*q + 8*q - s = 4*u for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -2*n - 9. Let j = 6 - n. Which is bigger: -2\/5 or j?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 5 - 2 = 0. Let z = -136 - -166. Calculate the least common multiple of z and c.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91) - (sqrt(91) - 4*(2*sqrt(91) - sqrt(91))) - -4*(sqrt(91) + sqrt(91)*-2 + sqrt(91) - sqrt(91)))\/(4*(sqrt(700) + 1*sqrt(700))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 567006\/605 + 1\/(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + -11. Let l be h\/(-7) + (-2)\/7. Let u(z) = -z + 11. List the prime factors of u(l).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -3*((5 + -5 + sqrt(98) + sqrt(98))*-1 - (1*(sqrt(98) + 0 - sqrt(98)) - (5 + -1*sqrt(98) + sqrt(98)))))**2.\nAnswer: -1260*sqrt(2) + 3753","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24 - -16. Let f = 13 + s. Let v(z) = 13*z**3 - 10*z**2 + 9*z + 7. Let i(u) = 7*u**3 - 5*u**2 + 5*u + 4. Let g(j) = 11*i(j) - 6*v(j). Calculate g(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -64 + 64.5. Let m = o + 0.5. What is the third smallest value in m, 2\/7, 1\/9, -1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 5:30 AM?\nAnswer: 6:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -4*z**2 + 2558961320*z - 409267689828508900 = 0.\nAnswer: 319870165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 2374 = -4*k - 4*q, 3*k - 7101 = -5*q. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s - 234. Let a(j) = -125*j**2 + 7. Calculate o(a(k)).\nAnswer: -250*k**2 - 220","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 - f**2 + f + 1. Let l(n) = -3*n**2 + 3*n + 3. Suppose -3*t + 0*t = 3. Calculate t*l(y) + 3*d(y).\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 316 - 312. Suppose -r*a + 0*a = -2*a. Solve h = -a - 3 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 - -24097773301.\nAnswer: 24097773296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 61 - 57 = 0. What is the remainder when 65 is divided by ((-25)\/(-10))\/(s\/16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 + (-3 - -5) + 6\/(-2). Suppose -s + d*s = -5*n + 955, 215 = n + 5*s. Calculate the greatest common divisor of n and 76.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - 17*h**2 - 4*h - 65. Let d be s(-17). Let y(n) = -2*n + 2 - n + n. Let j(l) = -l + 1. What is d*y(z) - 5*j(z)?\nAnswer: -z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 4 - 22. Suppose 3*f - r = 157. Is f a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/4 - 45\/20. Let j = 9 + k. Suppose -2*s + 1 = -5*l - 1, -3*s + 3*l = j. Which is the third biggest value? (a) 2\/7 (b) 2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 3)*(2*v + 3*v - 6*v) + 4*v - 5*v + 0*v + 2*v + 1 - 1 - 7*v - 9*v - 7*v - v + 0 + 0.\nAnswer: -27*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-2 + ((-3*1*sqrt(130) + sqrt(130)*-1*1)\/(sqrt(160) - (sqrt(160) - (sqrt(160) + 6*1*sqrt(160))) - sqrt(160)))**2).\nAnswer: -59\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/5*245\/7. Suppose 2*u - a = 16, u + a + 0*a - q = 0. Is (8\/u)\/((-36)\/(-990)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -54377406 + 29774406. Round m to the nearest 100000.\nAnswer: -24600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-2)\/(-3))\/((-5944)\/1488 + 4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43043338 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: Calculate prob of picking 1 h and 1 j when two letters picked without replacement from hjjffffjh.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 769316?\nAnswer: 2, 89, 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + 8. Let u(g) = g**2 - 4*g - 4. Let q be u(4). Let b(o) = -4*o + 5. Calculate the remainder when b(q) is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 + 2*v**2 - 2*v + 1. Let x be t(1). Suppose 5*p + 11 = 4*m, x*p - 9 = -3*m + 3*p. Differentiate 2 - 4 + s + m with respect to s.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of 0*z**3 + 0*z + 2*z**2 + 1 - 1\/2*z**4. What is the second derivative of q(w) wrt w?\nAnswer: -12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 545 is divided by 346.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1381462.\nAnswer: 2, 311, 2221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -9*y**3 - 5*y**2 - 3*y + 7. Let d(m) be the third derivative of m**6\/24 + m**5\/20 + m**4\/24 - 2*m**3\/3 + 9*m**2. Calculate 5*d(r) + 3*w(r).\nAnswer: -2*r**3 - 4*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-3)*m\/(m\/(m*m\/m**5)))\/(m**(-1)\/m*m*m**3) assuming m is positive.\nAnswer: m**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 206*g**2 + 2470*g - 24. What is n(-12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 5) to base 12\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 - 3*b - 63 + 12 + 24 + 21.\nAnswer: -3*b + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(-7)\/3*18*(-7)\/(-63)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -8*c + 4. Let i be v(-3). Let h = i + 10. Calculate the remainder when h is divided by 0 + (1 - -10) - -2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 4*f - 8. Let g(u) = 300*u - 1400. What is 4*g(c) - 700*t(c)?\nAnswer: -1600*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 86, -0.3, 0.5, 1\/8, -2.02, 3, 1?\nAnswer: 86","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -6*(-3)\/36*-874 + 1. Let a = x - -1060. Is a a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 300 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 7, 0.3, -0.3, -10, -1257?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-39 + 3 + 6 - 48)*(-6*z + 4*z + 0*z).\nAnswer: 156*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -436493 and -2\/95 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + g - 41, -c + 4*c + g + 22 = 0. Let v = c - -29. Let d be 10\/(-4)*(-72)\/v. Is d equal to 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 4:42 PM?\nAnswer: 4:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/15? (a) 0 (b) 114 (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*j + 3*j - j)*(8 + j - 8 + (-2 + 5 + 0)*(-7*j + 3*j + 2*j)).\nAnswer: -45*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 16. Let l = -3 + 9. Let k be (-2)\/(1\/(o\/l)). Put 0, -3, k in decreasing order.\nAnswer: k, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3230\/140899 <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28112 and 35.\nAnswer: 140560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 202*g - 327448 = 786*g + 1582*g + 1555*g for g.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 1 + 3 - 1 - 1 + (0 + 1 - 2)*(-1 + 2 - 3) + 5 + 0 - 4)*(3 - 3 + w)*(-31 + 0 - 23) in the form l*w + o and give l.\nAnswer: -270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 - -15. Suppose -86*j = -73*j + 78. What is the nearest to j in 0.2, l, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 8:43 PM?\nAnswer: 10:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (30\/(-18))\/(5*(-1)\/66) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kcv when three letters picked without replacement from kkykkkvckvvkkcykc.\nAnswer: 27\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -43*y**3 - 5*y**2 - 19*y - 19. Let b(a) = 84*a**3 + 10*a**2 + 37*a + 37. Let v(z) = -4*b(z) - 7*l(z). Is v(-3) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 2. Suppose 7*y + 91 = 20*y. Suppose 4*f = -5*l - a, -3*l - 5*f = -f + y. Solve -1 - 2 = -l*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 758178 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 174 = -521*c + 550*c for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lxjgall. Give prob of picking 1 x, 1 j, and 1 g.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 10*u - 50. Let s = -1442 - -1441.6. Which is the fourth biggest value? (a) u (b) s (c) 2 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**2 - f**2 + f**4 + (3*f**3 + 0*f**3 - 2*f**3)*(f - f + f) - 9*f**4 + 2*f**4 + f**4.\nAnswer: -4*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -1 (c) -116.98 (d) -907\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 430359409.\nAnswer: 430359409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 + 11*w - 11. Let z be p(10). Let m be z\/(-2)*(6 - -8). Solve -i - 4*l - m = 0, 4*i = -l - 18 + 5 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 905665 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5255896007?\nAnswer: 5255896007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 159297, 151058, 137327, 118104?\nAnswer: 93389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -938 - -1328. Let m be 2\/(240\/1) - 52\/t. Let w be ((-20)\/(-25))\/(5\/(150\/4)). Sort m, 2\/11, -2\/9, w.\nAnswer: -2\/9, m, 2\/11, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69564479 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -564, -1099, -1636, -2175, -2716, -3259, -3804?\n\"Answer: -l**2 - 532*l - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**0\/f)**25*(f**(-2\/3))**(-2\/9))\/(((f*(f*((f\/(f\/(f*f**6*f*f)))\/f)\/f*f)\/f)\/f*f*f**6)\/(f**(-4)\/(f\/(f\/(f\/f**(-1\/4)))))) assuming f is positive.\nAnswer: f**(-4871\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.8 - -5. Let f = -23.6 + 18.6. What is the second smallest value in j, f, 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of -3*z**5\/20 + 7*z**3\/2 + 9*z**2 + 12*z + 2. Find g, given that t(g) = 0.\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l = -2*l - 8. Suppose l*z + 3 = -69. Let d be 1 + -4 - z\/4. Solve -2*g = d, 5*g = -4*p + p - 9 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 61255970*k**4 + 14818784 wrt k.\nAnswer: 245023880*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 4*m + 12 = 0, -2*b + 9 = -5*m - 6. Suppose -2*t - 14 = -0*t + 4*r, 3*r + 7 = 2*t. Which is greater: b or t?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 211 + -163?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -7 + (-3)\/(-6)*10. Let g be 0 + -3 - (d + 33\/(-15)). Sort -2\/5, -4, -2, g in decreasing order.\nAnswer: g, -2\/5, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 150 and 35.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -106.42770109 - -203.15160086. Let q = d + -178.7239008. Let l = 82 + q. What is l rounded to 7 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, 102, -6, -1, -8 in descending order.\nAnswer: 102, 2, -1, -4, -6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 4*v - 3. Let y be (-18)\/27*12*-1. Suppose 4*s - y = -0. Give z(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.10303 less than 5?\nAnswer: 4.89697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-427)\/6405)\/(2\/24).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1812\/9 - 24\/18. Suppose 0 = 5*z - 10 - m. List the prime factors of z.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132761821 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 163 - 159. Sort 11, z, 0.\nAnswer: 0, z, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*b - 1337 = -1247 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**1*q*q)\/(q*q\/q**(-3\/14)))**(6\/7) assuming q is positive.\nAnswer: q**(33\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5997 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 6 - (-6 + -1) - 1) + -5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + -17 + -3 + 2. Let h = q + 33. List the prime factors of h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 3*l - 5. Suppose -14 - 20 = -5*t - 3*z, 2*t = 2*z + 4. Calculate the remainder when u(t) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*8\/12*6*1. Suppose -t*q + 105 = -3*b + 6*b, b - 25 = -q. Solve 3*k - 5*o + q = 0, 6*k = 3*k - 5*o for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n**2 - 28*n - 46. Let c be l(-20). Let t be 77\/c*6\/(-14). Which is smaller: t or 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 - 37*v - 94. Let o = -3580 + 3546. Determine w(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3584.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 + 10*z - 4. Suppose -2*u + 20 = 3*u, 3*j = 3*u + 15. Let a be g(j). Let 4*d**5 + 0*d**5 - 2*d**a + 2*d**5 = 0. What is d?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -3*t**2 - t + 89. Let m be g(0). Let w = -87 + m. What is the first derivative of 15 + 2 + 17 - 21*k**w wrt k?\nAnswer: -42*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15748887, 15748882, 15748877, 15748872?\nAnswer: 15748867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 60650 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -166*z + 6193. Calculate i(37).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -21.2 and 0.7.\nAnswer: -14.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 <= 3\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -802 + 454. Let l = 661 + w. What are the prime factors of l?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.5, 881, 0.2, 0.071, -1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 1 - a + 0*a**2 + a**2 + 0*a**2. Let x(y) = y + 0*y + 4 - 5*y + 5*y**2. Let l(z) = 4*r(z) - x(z). Let m(n) = -2*n**2. Give m(l(w)).\nAnswer: -2*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16536 and 240.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*r**3 - 34879*r**2 - 4610720*r - 1150500 = 0. Calculate r.\nAnswer: -130, -1\/4, 8850","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.8826 and -3469.\nAnswer: -3061.7394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a tonne in grams?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18397*w**6 + 453*w**2 + 2*w + 10?\nAnswer: -2207640*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 - 8*j**2 - 8*j - 4. Let w be g(9). Suppose -25153 = w*o - 123323. Let q = o + -35634. What is q rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -28*w**2 + 2296*w + 24. What is q(82)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/10*36\/2*1?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*55708591.\nAnswer: -111417182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 37236 and 3016?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of -s**7\/420 + s**6\/360 - s**4\/24 + 43*s**3\/3 - 39. Let p(a) be the third derivative of y(a). Suppose 3 - 2 = -z. Give p(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4895*c = -3489*c + 26714 for c.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/6 + 40049*r**2\/3 - 80101*r\/6 - 80099\/3.\nAnswer: (r - 2)*(r + 1)*(r + 80099)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 bigger than 41.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -25488 (b) -2 (c) -485 (d) 1\/3 (e) 3 (f) -2\/9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/2820570 and 43\/5923197.\nAnswer: 59231970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -214*t**2 - 344*t + 218*t + 62*t + 51*t**2 + 64*t.\nAnswer: -163*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-204)\/(-9))\/((-1)\/(-3)). Let u = 130 - i. What is the remainder when u is divided by (-855)\/(-65) + (-2)\/13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 2*c - 86, -8 = 5*c - c. Let t = l - -41. Let n(o) = -o + 5. Let r(m) = -m + 2. What is t*n(y) + 10*r(y)?\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1c4210 (base 14) to base 4\nAnswer: 3312220112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/((z*z**(-21))\/z))\/z**5 assuming z is positive.\nAnswer: z**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14 - 10 + 476*w - 22 + 49 to the form f + j*w and give j.\nAnswer: 476","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-36660)\/225)\/47 - (-8)\/10\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1201 - -110210110?\nAnswer: 110201202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q**2 - 80*q + 800. Let f be t(18). Let p(v) be the first derivative of -f*v**2 + 35\/3*v**3 + 0*v - 31. Find the second derivative of p(j) wrt j.\nAnswer: 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(50\/5) + -4 + 4\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6 or -390\/67?\nAnswer: -390\/67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 16041009 and 0.2.\nAnswer: 3208201.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1640867565?\nAnswer: 3, 5, 109391171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -251*g - 1105*g + 100*g - 734*g - 1026*g in the form q + n*g and give n.\nAnswer: -3016","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 29511, 118102, 265753, 472464, 738235, 1063066?\n\"Answer: 29530*b**2 + b - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 + 17 + 5*o - 2*o.\nAnswer: 3*o + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68 - -45 - (-25 - 19).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/5 + 22*p\/5 - 36\/5.\nAnswer: -2*(p - 9)*(p - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 at least 298\/47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 38 in decreasing order.\nAnswer: 38, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.3 + 5. Let r = 14 - 23. Let l be (15\/r + 2)*1. What is the closest to -1 in l, h, 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 8 = 4*v, 5*v + 2*f + 22 = 4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -43066002387.90002243 + 43066002854. Let l = c - 466.1. Round l to six dps.\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -59530 and 0.012?\nAnswer: -714.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -555, -1109, -1665, -2223, -2783, -3345, -3909?\n\"Answer: -n**2 - 551*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5073 and 4.9.\nAnswer: 24857.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of z**5\/60 + 7*z**4\/8 + 4*z**3 - 25*z**2. Let k be y(-20). Suppose -k*c + 168 = 28. Does 11 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7105, 7107, 7109, 7111?\nAnswer: 7113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 192204 and 855.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -362*v - 4*c = -363*v - 5, -6*c + 39 = 3*v for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -4 - 3. Suppose f - 4*m + x = -0*f, -5 = -f - 2*m. What is the smallest common multiple of f and 1 + (0 - -1 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/32 + (-2922)\/(-48) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 4*q - 2. Let x(a) = -8*a + 3. Let h(k) = 4*x(k) + 7*z(k). What are the prime factors of h(-2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 198436 a multiple of 133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11234112 divided by -4.\nAnswer: 2808528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -3*q. Let w(u) be the first derivative of u**5\/60 - 3*u**2 + 14. Let r(a) be the second derivative of w(a). Give d(r(t)).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3080 is divided by 601?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 divided by -62532?\nAnswer: 1\/1158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20781111?\nAnswer: 3, 13, 532849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + -33?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 60973?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(3) + -1*(-1 + sqrt(3)))**2 + sqrt(33)\/sqrt(44) - (1*sqrt(864))\/sqrt(2)).\nAnswer: -23*sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-60)\/(-50))\/(-6))\/((-20)\/25)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h - 1 = -9*h + 5*f - 3*f, 3*h - 3*f = h - f for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5147 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of w**5\/60 - w**3\/2 + 10*w**2. Let f(g) = g**2 + 0*g**2 - 2*g**2 - g + 4. What is -2*f(v) - 3*t(v)?\nAnswer: -v**2 + 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 58.04, -5, 1\/6, 5, 5\/6 in ascending order.\nAnswer: -5, 1\/6, 5\/6, 5, 58.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate n**3*q*t*x + 3*n**3*t*x + 795*n**3*t - 5*n*q*t*x + 640*n*q*t + 2*n*t*x with respect to q.\nAnswer: n**3*t*x - 5*n*t*x + 640*n*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - ((73 - 49) + 7).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001271406 to five dps.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 3 + 2 - o**2 + 2 + o**3 to the form r + m*o + d*o**2 + u*o**3 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1120000211 + -2?\nAnswer: -1120000213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1760)\/26 - (-284 - -216)?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -3*s**2 + 10*s - 7. Let k be o(6). Let d(m) = -m**2 - 14*m + 20. Let c be d(-15). Let a be k\/22*(-4)\/c. Solve 0 = a*w + 10 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -177 - -177.2. Are 44 and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11981259.568547 - -11981268. Let m = p + -8.43. What is m rounded to 4 decimal places?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*a - 18*a - 57*a = -24*a - 7192 for a.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11577 - -20204. Does 49 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 21\/4 of a kilometer?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 134 - 68. Let l be (-10)\/4*g\/15. List the prime factors of (l - -9) + 200\/2.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/21 of a week in hours?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - 2025?\nAnswer: -2021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -1. Let b(z) = -2*z + 3. Let d(j) = -b(j) - 3*p(j). Let q(u) be the third derivative of -u**4\/24 - 2*u**2. Calculate q(d(s)).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 280 + 291 = h, -3*w = h - 9 for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of -3*x**5\/5 + 5371*x**2. Let i(h) = 7*h + 6. Let m(r) = -r - 1. Let a(w) = -i(w) - 6*m(w). Calculate a(s(v)).\nAnswer: 36*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of d**6\/20 + 1059*d**5\/40 + 3916*d**4 + 7744*d**3 + 4579*d. Factor r(n).\nAnswer: 3*n*(n + 1)*(n + 176)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or -109866239?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -120 + 136. Solve j*l = 17*l + 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 249619753 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 116*x**2 + 44*x + 93. Is p(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -554 divided by -50989\nAnswer: 554\/50989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**3 - 818516*r**2 + 41916783900*r - 4475729587788.\nAnswer: 4*(r - 102261)**2*(r - 107)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9708 divided by -809.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 318.2 to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -0.1, -6\/5, 2\/9 in increasing order.\nAnswer: -4, -6\/5, -0.1, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 - k**2 + k - 1. Suppose 5*b = -2*s + 5, 4*s - 21 = 4*b + 3. Suppose -y - 7 = -1. Let l(r) = -4*r**3 + 7*r**2 - 6*r + 6. What is b*l(v) + y*x(v)?\nAnswer: -2*v**3 - v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -51219*a**3 - 609*a**2 - 8*a - 1 wrt a?\nAnswer: -307314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 9:42 PM?\nAnswer: 7:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - 4. Let g = -7 - h. Suppose -g = -5*t, -5*k + 71 = -k + 3*t. Is 17 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7*(18837\/147)\/(-13)\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 5 = 13. Suppose 3*x = -g + 6*g - 447, -4*x - 176 = -f*g. What are the prime factors of g?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-2*(sqrt(130) + sqrt(130) + 3*sqrt(130)*1)*-1)\/((sqrt(810) + sqrt(810)*1*-4 + sqrt(810))*2))**2.\nAnswer: 325\/54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 40, 75, 110, 145?\n\"Answer: 35*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 493578 by -14517.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 6116 (base 8) to base 7\nAnswer: 12120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12938?\nAnswer: 2, 6469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/10 and (-1)\/(-4) + (-127)\/(-12)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 5:43 AM?\nAnswer: 12:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1599380?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, 25, 1.\nAnswer: -3, 1, 4, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of w**5\/30 - w**4\/4 + w**3 - 145*w**2. Suppose 3*q - 5*q = 2. Let h(r) = -r + 1. What is q*j(n) + 6*h(n)?\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52 and 114944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -203 - -211. Suppose o*b + 14*b - 352 = 0. Solve 0 = -4*q - 5*u - b, -7 = 3*q + 4*u + 6 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24047 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2431 - -310. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - -1498f6d?\nAnswer: 1498f6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-36)\/(-7) - ((-1899)\/(-63) - 30). Suppose 5*i + 1 = 16. Let x be (3 + 2*-1)*-5. Put c, i, 1, x in descending order.\nAnswer: c, i, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 39 = 5*h + 14, 4*f + 1 = -h. Let z(i) be the second derivative of -i**4\/12 - 23*i**3\/6 - 11*i**2\/2 + 88*i. What are the prime factors of z(h)?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 4:02 PM?\nAnswer: 3:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + 13871?\nAnswer: 13871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13977*o**3*q - 33*o**2 + 4*o*q - 340*q wrt o.\nAnswer: -83862*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 138.23 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q + 1. Let p be t(1). What is the remainder when 17 - (2 - 3)*2 is divided by 5\/((-45)\/(-33))*p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-104982)\/(-28368) - 6 - 2\/(-3). Let v = t - -3\/394. Find the common denominator of 55\/8 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 - z**2 + 1. Let a(m) = 4*m**3 + 5*m**2 - 3*m + 6. Let f(i) = a(i) - 3*w(i). Let r be f(-8). Suppose -r = 5*t - 257. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 5*z - 77. Let v be t(16). Suppose -527 = -v*u - 5*r + 707, 0 = -5*u - 2*r + 2025. List the prime factors of u.\nAnswer: 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -6*x. Let z be 0\/(-2 + x\/1). Sort -1, z, 3 in decreasing order.\nAnswer: 3, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -713.2 - -713.1. Sort 5, -16\/3, 2\/5, q in decreasing order.\nAnswer: 5, 2\/5, q, -16\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 81 = 5*l, l - 13 = f + 14. Let m = -18 - f. Let h = 10 + -7. Solve -h*s + m = -0*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s - 5. Let w be a(-20). Suppose -5*t = -10, 3*t + 4 = 3*d + 10. Let r be (d + (-11)\/2)*-2. Solve -4*p = -x + r + 2, -3*x = -w for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2338? (a) 0.5 (b) 4 (c) -11\/6 (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 154 + -153.495. Let j = -0.205 + w. What is the fourth smallest value in j, -1\/3, -4\/3, -1\/2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (42\/(-12) - -6)*25\/(-375)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/771 equal to 1.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2520 = 32*n - 38*n. Is n a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 23 = -4*x, 30 = -2*k - 5*x + 3 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 + 5*b**2 + 2*b - 15. Let s(t) = 2*t**3 - 9*t**2 - 4*t + 29. Calculate -7*a(v) - 4*s(v).\nAnswer: -v**3 + v**2 + 2*v - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 320 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16436285.\nAnswer: 5, 41, 80177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + -14)*(6 + -117). Suppose -5*z + c = 2*a, z - a - 291 = -1. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 5*h**2 + 3 + (h**2 - 4*h**2 + 0*h**2)*(0 - 2 + 0).\nAnswer: 11*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 384*z**2 + 3*z + 5. Let k(j) = 4*j**2 + 30*j + 13. Let s be k(-7). Does 61 divide v(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24 - 0. Let q = 1 - f. Let w = 34 - q. Calculate the greatest common divisor of w and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*j = 259 - 194. Let d(p) be the first derivative of 3 - p**j + 0*p**3 + 0*p + 0*p**4 + 1\/2*p**2. What is the second derivative of d(i) wrt i?\nAnswer: -60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 188561072.5 from -335.\nAnswer: -188561407.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 4*w. Let m(r) = -14*r - 8*r + 21*r. Determine y(m(t)).\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2*o + 0 + (0*o + 3*o - 2*o)*(0 + 2 - 1) - 17 - 48 + 104 - 6*o)*(0 + 0 + 7*o) as c*o**2 + z*o + v and give z.\nAnswer: 273","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 + 11*x**2 - 11*x + 15. Let z be u(-12). Suppose 105 = 4*m + z*t, -4*t = -3*m - 3*t + 95. What are the prime factors of m?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 8, 3, -8, -5.\nAnswer: -8, -5, 3, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 162\/14 + (-9)\/(-21). Suppose -9*w + k*w + 3 = 0. List the prime factors of (-84 - w)*-1*1.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40 and 28.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 578 (base 10) to base 11\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1390 - -2076. Let o = -686.000551 + a. What is o rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is abb4 (base 13) in base 7?\nAnswer: 126621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of -z**5\/30 - z**2. Let n(i) be the first derivative of -7\/2*i**2 + 0*i + 12. What is n(j(m))?\nAnswer: 14*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 73, 255, 559, 991, 1557, 2263, 3115?\n\"Answer: n**3 + 55*n**2 + 10*n + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6305?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -17183*b*m**2 - 741*b*m*p**3 + 2*m**2*p**3 - 849*m**2 - m*p**3 + 387*m wrt b.\nAnswer: -17183*m**2 - 741*m*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 12\/25 of a millennium?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 4 - 21. Suppose h*z - 100 + 36 = -4*i, 0 = 2*i - 2*z - 50. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*r - 7*o - 53, 3*r + 5*o + 1186 - 2413 = -1198 for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-1)\/15)\/((-63)\/(-602)) and 151\/60.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-16 + 4))\/(4\/(-16))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -145, 2, 3, 4 in increasing order.\nAnswer: -145, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 - 110*v + 1875. Give y(15).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-5)*k**4*(k\/(k**(2\/3)*k))\/k*k\/(k\/(k**(2\/7)*k)))\/((k\/(k**(1\/6)\/k))\/(k*k**(-6)))**(-3\/19) assuming k is positive.\nAnswer: k**(-241\/798)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h - 1. Suppose 0 = -q + 3*u + 6, -u - 7 = -4*q + 17. Suppose -q = 449*z - 443*z. Let d(s) = -8*s - 5. Determine z*d(f) + 5*y(f).\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 287 is divided by 21?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 8, z: 1, v: 7, t: 2}. Give prob of sequence tqqq.\nAnswer: 7\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/24*70\/5*-6.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -903*h = -915*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -105033 + -99.15429406\nAnswer: -105132.15429406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 674.2 rounded to the nearest ten?\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 88 and 8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, -142, -0.2, 1\/9, 0.3, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23237?\nAnswer: 19, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -5. Let l(y) = -9. Let r(a) = -4*l(a) + 7*q(a). Let x(w) = -w**3 - w**2 - 19. Let s(g) = 4*r(g) + x(g). Calculate s(0).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -66350275 divided by 5\nAnswer: -13270055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20512 is divided by 171?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5167 + 6188. What is the remainder when r is divided by 1003?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 16\/(-72) + 56\/9. What is the first derivative of -13 + 15*g - 11 + 5 - t*g wrt g?\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -3151.\nAnswer: 9453","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 93858 to the nearest integer?\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2321941823.\nAnswer: 101, 22989523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**10\/(p**11\/p))**(1\/18))**(4\/9))**(10\/9) assuming p is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 89513670?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17 - -7) + 1 + 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28*(-37)\/259*-4.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - -2. Suppose -a = -3*h + 8, -h + 2*h - s = -a. Suppose 2*t + 1028 = -0*f + 4*f, -3*f = h*t - 789. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 78*g**2 + 4*g + 5. Let y be p(7). Let a be (2\/(-6))\/(5\/y). Let n = -103 - a. Calculate the greatest common factor of 14 and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/2 - 119*n - 22444.\nAnswer: (n - 362)*(n + 124)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3\/317 - -894\/6023. What is the third biggest value in c, 1\/2, 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-45)\/(-25) + (-2)\/(-10). Let i be (2\/(-6))\/(f\/(-6)). List the prime factors of 0\/3 - (-13 + i).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(250)\/(sqrt(10) + sqrt(160)))\/(sqrt(45) + sqrt(180))*-5.\nAnswer: -sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10698, -11102, -12068, -13878, -16814, -21158, -27192?\nAnswer: -35198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 5 = -5*k. Suppose k*v - 5 = -j, 5*j + 12 + 3 = -5*v. Solve v*b + 10 = -0*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3157 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/200)\/(((-3)\/(-75))\/(22\/(-220))).\nAnswer: -3\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 + 2\/4)\/(3\/(-4))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 2\/9, 99, 8.3, 0.5.\nAnswer: 0.1, 2\/9, 0.5, 8.3, 99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, d: 2, w: 2, i: 2, m: 1}. What is prob of sequence iwmu?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - -3)*(-10)\/(-15). Suppose -3*u + r = 24, 5*u - 10 + 39 = -z*r. Let y(n) = -n**2 - 9*n + 1. What are the prime factors of y(u)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -7*(-45)\/52 - 60\/80. Do a and 4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of -h**5\/20 + h**4\/2 - h**3\/2 + 3*h**2 - 2779*h. Let f(u) = -5*u**2 + 2*u - 5. Calculate 5*d(x) + 6*f(x).\nAnswer: -5*x**3 - 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 828590420?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1293*u = -1084*u - 3971 for u.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 11:54 PM?\nAnswer: 6:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - -4. Suppose -536 = f - s*f. List the prime factors of f.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1534 + -1533.936. Sort o, 0, 2\/7, 3\/4.\nAnswer: 0, o, 2\/7, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 * -5600\nAnswer: -39200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 i when two letters picked without replacement from {d: 1, n: 4, w: 1, h: 2, i: 1, u: 3}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8415.031 decades?\nAnswer: 1009803.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 96 and 105404.\nAnswer: 2529696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.77 + -2.67. What is the second biggest value in 3, h, 1\/4, -2\/17?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -64*z + 49*z - 67*z in the form p*z + o and give p.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 + 20*r**2 + 20*r. Determine y(21).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 280 bigger than 280?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.2 (b) 22 (c) 61\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.02 in -0.3, -7, 0.4, -0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 4, -2, 3 in increasing order.\nAnswer: -2, 3, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 131*x - 250*x + 13*x**3 - 4 + 119*x.\nAnswer: 13*x**3 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 480 and 2016?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*p + 4*n + 28 = -36*p, -3*p = -7*n - 47 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2*(9 + -8))\/(4\/6). Let x(m) = -2*m**3 + 8*m**2 - 8*m + 7. Let j be x(c). Solve -3*s + 2*i - j = 0, 2*i - 4 = 5*s + i for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 75946644 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeed when four letters picked without replacement from {e: 3, d: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*t = -t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5529 (base 13) in base 15?\nAnswer: -37b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 47065, 94127, 141189?\n\"Answer: 47062*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34 and 27098.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4906.\nAnswer: 2, 11, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*z, -10*z + 15*z = -3*s + 79. What is the remainder when 100 is divided by s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.04 - 0.16. Let a = z + -11.55. Let c = -12 - a. Is -0.1 smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 v when two letters picked without replacement from rnnvknnnnrnncnncc.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z + 0*z + z)*(4 - 5 - 1) + 10*z + 9*z - 20*z - 22.\nAnswer: 3*z - 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 4 + 3)*(-16 - 17 + 41) + (-3 + 5 + 1)*(-2 + 2 + 8))*(-4*n + 2*n + 4*n).\nAnswer: 16*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/(-6) - -3)*(-2 + 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 530432941 and 1379?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 650 + 1893. Is 2542 at least as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 - 10*p + 8. Let m be o(-11). Let z be 36\/168*(-4)\/m. Sort z, 3, -1\/4.\nAnswer: -1\/4, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 AM and 8:14 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1555 in 5, 1, -45?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.088 and 2\/31 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1792 and 2828.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28 - 24. Suppose -a - 4 = 0, 0 = -2*c + u*c - 5*a - 32. Let t be (c\/(-4))\/(9\/12) - -8. Solve -2*k - 4*i + 10 = 0, -k - 2*k = 3*i - t for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 233897777 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -48*s**2 - 16 + 29*s**2 + s + 22*s**2 to h*s + x*s**2 + u and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 912*i - 14 = 905*i. Solve -2\/5*w**3 - 2\/5*w + 0 + 4\/5*w**i = 0 for w.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9344 + 9349. What is the nearest to 0 in f, 0.08, 0.6?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n + 9. Let c = -19 - -25. Let z be i(c). Solve 16 = m + z*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 493 and 5771.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 52343?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3 + 431*a**2 - 1088*a + 436.\nAnswer: (a - 2)*(a + 218)*(2*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 12 = 54. Let k be 366\/(-399) - 6\/a. Let j = k + -2\/57. What is the nearest to 2 in j, 1\/6, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -u**5 - 579*u**4 - 16*u + 4.\nAnswer: -20*u**3 - 6948*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1286, 1516, 1842, 2252, 2734, 3276, 3866, 4492?\nAnswer: 5142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -88255*c. Let a(l) = -6*l. Give n(a(w)).\nAnswer: 529530*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**2\/2 - 3708*i - 22221\/2.\nAnswer: -3*(i + 3)*(i + 2469)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -32*l**4 - l**3 - 11*l - 5?\nAnswer: -384*l**2 - 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/13)\/z*z*z*z**7)**28*(z*z**(-2)*z)**(-2\/17)\/((z*z**(4\/7))\/z**(-7)) assuming z is positive.\nAnswer: z**(19996\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 4*g**2 - g + 3. Let x be q(8). Let z = -175 + x. Calculate the highest common divisor of z and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 625008327?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of 0*z**2 + 2 - 4\/75*z**5 - 2\/15*z**3 + 19\/90*z**4 - 1\/45*z**6 + 57*z. Find p, given that b(p) = 0.\nAnswer: -3, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57798\/12 - ((-42)\/70 + 42\/20).\nAnswer: 3, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45\/9)\/((-30)\/(-4)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*4*-2*sqrt(1900)*-2 + -3 + 6*(sqrt(1900) + 1) + -3)**2.\nAnswer: 14052400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1514453 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 5*t + 11312 = 0, 2*h + 75*t - 76*t = -11320. Round h to the nearest one hundred.\nAnswer: -5700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a centimeter in micrometers?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5164*l - 445436 = -429*l + 566*l + 560*l for l.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (41\/6 - 7) + 3266\/12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(189)\/(sqrt(12)\/sqrt(4)) + sqrt(1008)*1 + sqrt(63) + sqrt(63) + sqrt(63))*2)*-1.\nAnswer: -48*sqrt(7) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 7 - 2. Suppose 3*n - 324 = -3*n. What is the remainder when n is divided by q\/(-1) + 17 + -2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -12 and -1162.550448?\nAnswer: 1150.550448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -75*r**4 - 4*r**2 - 4*r + 519. Let s(i) = 147*i**4 + 9*i**2 + 9*i - 1039. Let q(l) = -4*s(l) - 9*v(l). Differentiate q(y) with respect to y.\nAnswer: 348*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 AM and 9:53 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((-19 + -2)\/7)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -4*p + 59 - 26, 3*p - 2*h = 19. Solve p*o = o - 6 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/2318 and -85\/15684.\nAnswer: 18177756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-13)*o\/(o*o**(-27)))\/(o**5)**(-2\/7) assuming o is positive.\nAnswer: o**(108\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-2)*-18*(-1)\/(-2)?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.045 (b) 4 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 34 = -46. Suppose 3*h = 3*u - 2*u + d, -h + 3 = 2*u. Suppose -2*p - 3*g + 19 = -h, 3*p - g - 58 = 0. Does 7 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 18\/156*(-12)\/45*-5. What is the biggest value in x, 0, -3, 321?\nAnswer: 321","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -29 - -43. Is 14 less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8*(4 + -6 - 133\/(-28)). Let q(p) = p**2 - 2*p + 3. Let m be q(0). Solve -2*t = 4*v + h, 0 = -t - m*t + v - 8 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -9*r**3 - 2*r**2 + r. Suppose 0*y + 8 = -4*y. Let q be l(y). Let s = q - 560\/9. Which is the second smallest value? (a) 3 (b) -5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2228 * 89.13.\nAnswer: 198581.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4892538231 to the nearest integer?\nAnswer: 69947","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2636689241 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 - 24*a**2 + 6. Let u be k(-24). Suppose 13587 = -u*n - 4773. What is n rounded to the nearest 100?\nAnswer: -3100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 504 divided by 1\nAnswer: 504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + 9 + 12 + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 144*n**2. Let l = -167 + 176. Let w(f) = -l*f**2 + 3*f**2 + 3*f**2 + f**2. What is w(m(a))?\nAnswer: -41472*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, r: 6}. Give prob of picking 2 r and 2 t.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 5*h - 19 = 5, -3*i + 2*h = -20. Solve i*d + 23 = 3 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -29 + 4?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-713)\/(-11) - (5 - 570\/110). What is the greatest common factor of s and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-38)\/57)\/(4\/6)*3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -155*t - 23. Let j(d) = 156*d + 27. Calculate 6*f(y) + 5*j(y).\nAnswer: -150*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 59*g - 283. Calculate b(1).\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 99?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3245204 (base 6) in base 16?\nAnswer: 27844","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 1557, 2907, 4257, 5607, 6957?\nAnswer: 8307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of u**6\/24 - 7*u**5\/12 - 25*u**4\/24 + 125*u**3\/2 + 189*u**2. Factor j(a).\nAnswer: 5*(a - 5)**2*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3031*p + 3038*p - 532. What is the remainder when p is divided by 27?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-53882)\/(-203) - 6\/14. Let j = y + -1051\/4. Factor 0*c**2 - 3\/2 - j*c + 3\/4*c**3.\nAnswer: 3*(c - 2)*(c + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31618552 divided by 15809276\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**2 - 8220*p - 24651 = 0. What is p?\nAnswer: -8217, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*i + 39*i + 24 = 0. Suppose -i*a = -6*a + 1708. What is the hundreds digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence um when two letters picked without replacement from {m: 1, h: 1, u: 2, g: 2, n: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*v + 2)*(-1 + 4 - 2)*(1 + 2*v - 1) + 3*v**2 - 6*v**2 + v**2 + (-v + 0*v + 0*v)*(1 + v - 1).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 - 7*c**2 - 7*c - 6. Let y be d(-6). Suppose y*r - 2*r + 8 = -i, r - 4 = 4*i. Let l = -116\/3 + 39. Do i and l have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -90 + 4*y**2 + 14*y**4 + 3*y**3 + 1870*y - 1887*y + 91 in the form f*y + d*y**3 + h*y**4 + x*y**2 + n and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -641*n**3 + 5*n - 5*n - 74*n**3.\nAnswer: -715*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -58\/3 (b) 2 (c) -2\/123\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -242627, -485082, -727537, -969992, -1212447?\n\"Answer: -242455*a - 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -41*q - 822. Calculate z(-20).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**5 - 7*w**2 - 12*w**2 + 15*w**2 + 0*w**5 - 4*w**3 + 4*w**4.\nAnswer: 4*w**2*(w - 1)*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 241 or -0.19?\nAnswer: 241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 52161600 a multiple of 300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -52 + 37*i + 33 + 9 + 12*i**2. What is the hundreds digit of n(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -4*k**5\/5 - 46*k**4\/5 - 22*k**3 + 196*k**2\/5 + 408*k\/5 + 144\/5 = 0?\nAnswer: -6, -1, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, e: 1, d: 1, f: 2, r: 1, a: 1}. What is prob of picking 1 d and 1 a?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 234*n - 6. Let i(m) = 79*m - 2. Calculate 17*i(o) - 6*k(o).\nAnswer: -61*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*i - 0*i - 16*q + 141, -4*i - 154 = -5*i - 17*q for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -45*l. Let v(q) = -q + 3274. What is v(m(a))?\nAnswer: 45*a + 3274","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 2*l + 4 = 0. Suppose -3*z - 2*n - 134 = z, 3*z + 117 = l*n. Let u = z + 55. Does 7 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/3 + 249452*j\/3 - 15556575076\/3.\nAnswer: -(j - 124726)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 104\/16 - 1\/(-2) - 2. Suppose -g*p + 105 = -0*u - 5*u, -8 = -4*u. What is the greatest common factor of 69 and p?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 3\/(-1))*2\/30?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of -j**4\/3 - j**3\/6 - 7*j**2\/2 + 31*j. Let x(c) = 6*c**2 + 2*c + 11. Determine 8*r(a) + 5*x(a).\nAnswer: -2*a**2 + 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 812 a factor of 2777618152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -49315159772 + -8212\nAnswer: -49315167984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 AM and 9:53 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of -3*t**3 + 20. Let u(c) = 4*c**2. What is u(z(n))?\nAnswer: 324*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2. Let n(j) be the first derivative of j**3\/3 + 81*j - 1172. Determine u(n(p)).\nAnswer: p**4 + 162*p**2 + 6561","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, o: 6, k: 2, a: 3, p: 2}. Give prob of picking 1 o and 1 r.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -409431, -409409, -409373, -409323, -409259, -409181?\nAnswer: -409089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -128 + 89. Is -38 > o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + 3 - 594\/1. Let k = y - -421. Round k to the nearest 10.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 760.9 - 761. Is -0.113 at least as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/10)\/(-3*(-16)\/(-15)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 416?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/3*(-5580)\/(-7130)*((-805)\/10)\/(-7)\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002708 to 5 dps.\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 48 and 30.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 3*b - 41324, -5*y = 23*b - 18*b - 41300. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 - i + 1. Let s(p) = -p**3 + 5*p**2 + 6*p - 1. Let x be s(6). Let c(v) = 9*v**2 - 6*v + 6. Determine x*c(l) + 6*q(l).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of b - 7*b**2 - 23*b**2 - 29*b**2 - 41*b wrt b.\nAnswer: -118","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.324601 tonnes in kilograms?\nAnswer: 5324.601","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3*h + 5)*((1 + 1 - 4)*(-4 + 0 + 5) - 2 + 2 + 2 - 2 - 1 - 3).\nAnswer: -18*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 + 6*d**2 + 31*d + 57. Let m be h(-2). What is the greatest common divisor of 1 and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 59 and 6549.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 448349887 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(832) + -2 + sqrt(832) + -1 + sqrt(832)*-2 + 4 - (-3 + -6*(sqrt(832) + -5) + sqrt(832)))*2)**2.\nAnswer: -8320*sqrt(13) + 85904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of 33*x**4\/4 - x**3 - 4*x**2 + 23. Let w be g(-5). What is w rounded to the nearest one hundred?\nAnswer: -4200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, v: 3, u: 3, j: 1, d: 1}. What is prob of sequence duug?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/9, -181, -3, -0.3, 0?\nAnswer: -181","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 122 * 1.2\nAnswer: 146.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 96081239 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 26, 57, 116, 209, 342?\n\"Answer: k**3 + 8*k**2 + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 - -8. Let q be 4\/3*(m + -5). Let k = 19 + q. Solve k*z = -5*c + 7, -16 = -0*c + 4*c - 3*z for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -442 times 0.01\nAnswer: -4.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*s + 6*s - 171728 + 85864 - 15*s + 85864.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 504348 divided by -26\nAnswer: -19398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of t**3\/6 + 7*t**2 + 20*t. Let z be j(14). Let g be z*(0 - 1\/(-2)). Solve -4*y + 3*q - 8 = 12, 0 = -y + 3*q - g for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 4*c**3 + 7*c**2 + 13. Suppose -2*h - 1 = 2*k + 3*k, h - k = 10. Let x(u) = 581*u**3 + 3 + 1 - 580*u**3 + 2*u**2. Determine h*x(q) - 2*s(q).\nAnswer: -q**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 4340 = 3*m, -4*m + j + 4182 = -1620. Is 1450 bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v + v**2 + 2*v + 2 - v**2 - 2 + (v + v - v)*(-1 + 1 + v) + 0*v**2 - v**2 + 2*v**2 + 5*v + 2*v**2 - v**2 + 7*v.\nAnswer: 3*v**2 + 12*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 9:35 PM?\nAnswer: 7:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -65 + 92. Let i(x) = -x**3 + 2*x**2 + 5*x - 4. Let a be i(3). Let p(j) = -z*j**a - 47 + 47. Let b(o) = o**2. Give b(p(d)).\nAnswer: 729*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 - 246*a**2 - 1431*a + 1344. Calculate u(-240).\nAnswer: -816","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -383.275 and -246.\nAnswer: 94285.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 13 - 3 = 0. List the prime factors of u\/(-7) + (-2960)\/(-70).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 18\/11 (b) -1 (c) 0 (d) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(832) - (-5*sqrt(832) + sqrt(832)))**2 + sqrt(104)\/(sqrt(8) - sqrt(72)*-4).\nAnswer: sqrt(13)\/13 + 20805","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(288) + (sqrt(288) - (1*sqrt(288) + sqrt(288))*3)**2 - sqrt(288) - (4*(0 + sqrt(2) + 5))**2.\nAnswer: -160*sqrt(2) + 6768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 12) to base 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -52 - -53. Let m be 24 + (8\/16)\/(p\/(-2)). Suppose 6*l - 2*l - 16 = 0. Solve 0 = -o + 3*h - 1 - 0, -3*o = l*h - m for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 1 + 2*(sqrt(1008) + 1*sqrt(1008) + sqrt(14)\/sqrt(2) + 4 - 3*(-1*sqrt(343) - sqrt(343))))**2.\nAnswer: 2680*sqrt(7) + 125792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 0.85?\nAnswer: -0.425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 3*p, 0*p + 31 = 5*i - 4*p. Suppose -18*a - 8 = -22*a. Suppose 11 = o + 3*g - 9, -a*o + 5*g = 15. Solve -s - t - 2 = -i, -o*t + 3 = 4*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.5 + -2. Let u = 2655.9 + -2684.9. Sort 0.4, y, u in ascending order.\nAnswer: u, 0.4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bgeeoigoioibiege. What is prob of picking 1 o and 1 g?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28363 to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 79 times 162126?\nAnswer: 12807954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 1:46 AM?\nAnswer: 12:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lrf when three letters picked without replacement from lfffzfrfl?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3 - -0.1. Let p = 1 + 0. Let j = p + 0. Which is the nearest to 0? (a) 0.4 (b) j (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of b**7\/35 - 7*b**5\/60 - 2*b**2. Find the third derivative of i(h) wrt h.\nAnswer: 144*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -aa - -3?\nAnswer: -a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -7. Suppose 4*j + a + 4 = u, 0 = -j - j - 5*a - 20. Solve 3*o = -j*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 605 + -621 - ((-1 - 3) + -2).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 71, 102, 155, 236, 351?\nAnswer: 506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (4 - 0) - (66 + -68).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 674 - 1341. Let g = o - -669. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 - 4*g**2 - 2*g - 1. Let y(o) = -100*o**3 - 194*o**2 - 100*o + 2. Let f(n) = y(n) + 4*z(n). Factor f(c).\nAnswer: -2*(c + 1)**2*(52*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 - (5 - 1) - (-390 - -355)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -5569968*k. Let x(v) = -2*v + 9. Determine x(a(y)).\nAnswer: 11139936*y + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (32\/3)\/(30\/99). Suppose 115 = -4*r + 5*q, -155 = 4*r + 5*q - 2*q. Let t = k + r. Sort 1, t, 2\/9 in ascending order.\nAnswer: t, 2\/9, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/(-192))\/(5825\/(-300))?\nAnswer: -2\/233","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -3*i - 69. Let j be b(-23). Let w be 11*1 + j - (-55 + 56). Solve -t + w = t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 5*m = -8. Let x = 31\/4 + m. What is the nearest to 2 in x, -0.2, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -205*i + 2*i**3 + 69*i + 68*i + 68*i.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 2. Suppose 0 = 4*o - 5*v - 3, 3 = g*v - 7. What is the highest common factor of 35 and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -372215 by 4.\nAnswer: -372215\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.8*1.546\nAnswer: 1.2368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75031 divided by -13.\nAnswer: 75031\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of c**6\/144 - 47*c**4\/24 - 2*c**2 - 7. Let g(v) be the second derivative of m(v). Calculate g(3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 4316*b**2 - 7*b + 8. Is a(1) 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 153 and 765?\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-8928)\/11160*(-1 - -16)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37062752.\nAnswer: 2, 23, 37, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -17*h - 130. Let d be t(-8). Let b(z) be the third derivative of -z**5\/30 + 11*z**4\/24 + z**3\/3 - 3*z**2 + 19*z. Calculate b(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 78646.799 - 78580. Let x = r + -0.099. Round x to the nearest integer.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-3\/13)\/m**(-1\/4))**(-6\/13) assuming m is positive.\nAnswer: m**(-3\/338)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -36163*a**2 + 631*a - 268773748 wrt a?\nAnswer: -72326*a + 631","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 10 + (-103 - -48) + 9 + -1\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 PM and 5:21 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 91760 and 28566035?\nAnswer: 5735","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1906*w = 1899*w + 161. Suppose -5*s - 101 - 44 = 0. Let y = w - s. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 330*a + 257 wrt a?\nAnswer: 330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-560)\/84*30\/(-8). Solve -n = -i - 4*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -5*t + 3. Let n(y) = 14*y + 2111. Determine -3*g(a) - n(a).\nAnswer: a - 2120","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(396) + sqrt(396) + (sqrt(396) + -1 + sqrt(396) + sqrt(396))*-3.\nAnswer: -42*sqrt(11) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 174215, 174209, 174207, 174209, 174215, 174225?\n\"Answer: 2*r**2 - 12*r + 174225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 9196 and 13930310?\nAnswer: 13921114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4923, 9817, 14637, 19347, 23911?\n\"Answer: -6*h**3 - h**2 + 4939*h - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 2*j + 241 = 288, -3*j = 5*t - 58. Let x(b) = -4*b - 6. Let k be x(-4). Solve t = -2*u - q + 17, -5*q + k = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q**5 + 1856*q**4\/3 - 68564*q**3\/3 - 24304*q**2\/3 + 15376*q = 0. Calculate q.\nAnswer: -1, 0, 2\/3, 62, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o + 4*y + 521 = 14*o, -o = 5*y - 81. Calculate the remainder when 704 is divided by o.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6741*m = 6702*m - 1950 for m.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, -28, 3 in decreasing order.\nAnswer: 3, 1, -3, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**3 - 259589*c**2 + 16847261184*c - 84229816320 = 0. Calculate c.\nAnswer: 5, 129792","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, n: 3, r: 1}. Give prob of sequence gn.\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wzpz when four letters picked without replacement from pzowzfi.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 r when two letters picked without replacement from {n: 3, r: 11, p: 4, z: 1}?\nAnswer: 44\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -798*-0.1.\nAnswer: 79.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 3 (b) -3\/8 (c) 0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -23*f - 509. Let i be a(-23). Is 22 at most as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -4*a**2 - 14. Let j(g) = 3*g**2 + 15. What is 7*j(c) + 6*r(c)?\nAnswer: -3*c**2 + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 82 and 7339?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 46307\/189392 + -36\/1691. What is the common denominator of 87\/56 and n?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 25*p - 38*p + p**2 - 13 - 1. Let x be q(14). Suppose -3*v = 6*z - z - 31, x = 2*z + 4*v - 18. Calculate the highest common factor of 20 and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3 - 1543*x**2 + 9286*x - 12392.\nAnswer: -(x - 4)*(x - 2)*(x + 1549)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -45*n - 6*n - 153 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2285*m + 11700*m - 71 + 10666*m + 71 to p + g*m and give g.\nAnswer: 20081","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -89, -198, -327, -476?\nAnswer: -645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5533, -11174, -16815?\nAnswer: -22456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-165)\/(-25) - (-4)\/10. Suppose 0 = -g*i + 2*i + 90. Let m = 1451 - 1429. Calculate the least common multiple of m and i.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.3 and -11797972.\nAnswer: -11797972.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -63, -9, 2, 6, 129\/29 in descending order.\nAnswer: 6, 129\/29, 2, -9, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3188?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1120)\/18 + 2\/9. Let b(o) = -18*o - 7. Let t be b(6). Let p = u - t. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 68946*f + 1. Let a(z) = -12*z**2. What is x(a(p))?\nAnswer: -827352*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 2 = -r, -5*r - 17*k + 16*k + 56 = 0. Solve -r = -4*j + 2*g, -3*j - 18 + 30 = -3*g for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/57 in -18, 0.4, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14777617 to the power of 1\/4, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/246 or 1?\nAnswer: 1\/246","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 11018008, 11017981, 11017936, 11017873, 11017792?\n\"Answer: -9*s**2 + 11018017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 33351765 or 33351767?\nAnswer: 33351767","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 417802?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 + 18*t**2 - 1. Calculate o(18).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 24623 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 = 3*i - 5*d, 285 = 4*i - 3*d + 74. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-16)\/6 - (-28)\/42. Let f(c) = c**3 - 2*c - 1. Give f(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-12)*r**(1\/5)\/r*r*r)**(-37) assuming r is positive.\nAnswer: r**(1998\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - y - 15 - 20, 3*s + 3*y = 75. What is the smallest common multiple of s and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = j - d + 1, -j - d = -1. Let q(n) = 5*n - n**2 + 2 - 2 + j*n - 4. Let k be q(7). Solve -k = -2*s - 2 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7617 - -7617.00000715. Round q to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -4*h**2 + 0*h**2 - 7*h**3 + 4*h + h. Let u(w) = -3*w**3 - 2*w**2 + 2*w. Give 2*o(k) - 5*u(k).\nAnswer: k**3 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2302743ml in litres?\nAnswer: 0.0002302743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 + 5*y + 25. Let k be n(8). Suppose a - 4*h - 23 - 15 = 0, 2*a + 5*h - 24 = 0. Suppose -21*o + a*o = k. Put 8, o, -1 in decreasing order.\nAnswer: 8, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14*3152.\nAnswer: -44128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of -p**5\/2 - p**4\/2 + 2*p**3\/3 - 10*p. Solve i(q) = 0.\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/(-12)*33\/11. Let z(y) = 0*y + 2 + n*y + 1 - 3. Let p(a) = 142*a**2 - 1. What is z(p(b))?\nAnswer: 284*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of 0*m**4 + 0*m**2 - 1\/3*m**3 + 0*m**5 + 0*m + 3\/7*m**7 + 0*m**6 + 1. Find the third derivative of i(v) wrt v.\nAnswer: 360*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 40*y**3 + 14*y**2 - 143*y + 4. What are the prime factors of h(10)?\nAnswer: 2, 11, 23, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1195608104 rounded to the nearest 100000?\nAnswer: -1195600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, -83, -177, -307, -473, -675?\nAnswer: -913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.6594973 litres?\nAnswer: 659.4973","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ty when two letters picked without replacement from {x: 1, i: 8, p: 1, y: 1, t: 6}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 40 = -28. Suppose -u + i = -0*u. Suppose 13 = 2*l - 1. Solve 2*c + l = u for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72709 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 - 4*a**2 - 25*a - 96. Let m be u(-4). What are the prime factors of (7468\/15 - -3) + m\/30?\nAnswer: 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3337, 12190, 26561, 46450?\n\"Answer: 2759*i**2 + 576*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -4*m**3 - m**2 + 5*m - 53. Let f(p) = p**3 - p + 18. Determine -7*f(g) - 2*s(g).\nAnswer: g**3 + 2*g**2 - 3*g - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 2*m + 120 = 0. Let p = 17 - 2. Let a be 355\/p + 2\/6. Calculate the greatest common divisor of a and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30.41*-1.7.\nAnswer: 51.697","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 3. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2212\/(-66) - 8\/(-44). Let a = z - -34. Factor -a*q**4 + 1\/3*q - 1\/3*q**5 + 2\/3*q**2 + 0*q**3 + 0.\nAnswer: -q*(q - 1)*(q + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4.5? (a) 199 (b) -1 (c) -9 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 7*s - 180. Let l = s - -78. Let i = -9 - -9. Put 0.2, i, l in ascending order.\nAnswer: i, 0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 141970 and 411713?\nAnswer: 4117130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 144, 188, 18, -474, -1396, -2856, -4962?\n\"Answer: -18*i**3 + i**2 + 167*i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3389*l = -404*l + 122758 + 50372 for l.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 5, -0.9, 3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -34154, -68374, -102584, -136778, -170950, -205094, -239204, -273274?\n\"Answer: v**3 - v**2 - 34224*v + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57) - sqrt(114)\/sqrt(2)*-6)\/(sqrt(12) - (sqrt(12) + sqrt(48)))*-6.\nAnswer: 21*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 a factor of 564375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 2*g - 0*g. Let v be g\/12 + 3\/(-2). Factor 1\/3*o**2 + 0 + v*o.\nAnswer: o*(o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -9*l + 113. Let v be y(-8). Let d = 190 - v. Which is the second biggest value? (a) d (b) 2\/17 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of -k**5\/5 + 158*k**2. Let r(y) = -26*y. What is r(x(t))?\nAnswer: 312*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 12121048747 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -385426602 by -747.\nAnswer: 515966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d = 13*d - 18. Let v be d + 2\/(0 - 1) + 3. Calculate the highest common factor of v and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 38*x - 36*x, 108888 = 2*a - x. What is a rounded to the nearest one hundred?\nAnswer: 54400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(288) + 2)*-4 - (-3 + (sqrt(8) - sqrt(88)\/(sqrt(44)\/sqrt(4)))))**2.\nAnswer: 96*sqrt(2) + 4609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3.3 (b) -0.5 (c) 1\/8 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 526140 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6100.86ml in litres?\nAnswer: 6.10086","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -251 + 308. Let p = -26 + s. Solve -4*z - u = -6*u - p, u + 23 = 5*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - 16. Let x be 6\/46*(-4)\/q. Let n = -2 - -2.1. Which is the closest to n? (a) x (b) -4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1461 is divided by 21.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14\/5? (a) -0.4 (b) -2\/3 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48219 is divided by 16068.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 - -3. Let y = 46 + -26. Let h = y + w. Put 1, 4, h in increasing order.\nAnswer: 1, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y**3 - 160*y**2 - 1398*y + 61003. Calculate u(84).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55291 is divided by 34?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5915 - 2939. Do g and 2975 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.01, 0, -13 in descending order.\nAnswer: 0.01, 0, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uum. What is prob of sequence mu?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 + 19\/(-4))*-4. Let x(n) = 8*n - 13. Is 10 a factor of x(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from vvvvvffvvvvvfvv.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -403 + 466*c**2 + 402 + 529*c**2 + 3*c - 2*c - 3*c as w*c**2 + p + l*c and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ur when two letters picked without replacement from {u: 2, r: 6}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 0*l - 1397162*g + 78 = -1397156*g - 24, -2*l - 6*g + g + 85 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a day in minutes?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1444 and 8288921.\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1033 - 1059 + 2092 + 3*s - 616*s**3.\nAnswer: -616*s**3 + 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2819239?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 AM and 8:34 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**2 + p**2 + p**2)*(11*p + p + p).\nAnswer: 26*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 2)\/(7 - -3 - 3)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z. Let t(n) be the second derivative of 1\/2*n**3 + 0*n**2 - n + 0. What is t(h(i))?\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -50*x**5 - 5194*x**4 - 19026*x**3 + 37858*x**2 + 45740*x - 6000 = 0.\nAnswer: -100, -5, -1, 3\/25, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 26 + 6 = 0. Let s(d) = d + 3*d**3 + 4*d**2 + d + 3*d + 4 - 4*d**3. Let m be s(f). Round m to the nearest 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c = -3*k - 3*c + 33, 3*k - 5*c = 33. Suppose 3*r - 4*b + 4 = 2*r, -b = -r + k. What is the remainder when 46 is divided by r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/n**(2\/7)*n*n*n**4)**(-2\/41))**(-18))**48 assuming n is positive.\nAnswer: n**(81216\/287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1520977 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -136\/5 - -27. Let n = 1065 + -1066. Put n, 0.5, m, -0.4 in descending order.\nAnswer: 0.5, m, -0.4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - q + 131 = -5*m, 0 = 5*q - 4*m - 201. Is q a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - j - 4 = 0, j + 6 = 4*t + 2. Let c(w) = 2 + t*w - w - 1. Give c(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5967000 rounded to the nearest one hundred thousand?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -c**2*y**2 - 3*c**2*y + 4*c**2 + 3*c*y - 231*c - 17036521*y**3 + 255*y wrt y.\nAnswer: -2*c**2 - 102219126*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 87, 116, 175, 264, 383, 532, 711?\n\"Answer: 15*x**2 - 16*x + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -l**4 - 29*l**3 + l**2 + 29*l = 0.\nAnswer: -29, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*n - 3*k - 15, 2*n - 2*k - 10 = 0. Let -2*f**3 + 3*f**n + f**3 + 2*f**2 = 0. What is f?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 6*h - 1. Let f be v(1). Let u = -2 + f. Let w(n) = -14 + 2*n**3 - n**3 + u*n + 12 - 4*n**2. What is w(3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 5*f = 368, -5*o + 207 = 4*f - 431. Let m = o - 74. Suppose -4*r = -2*n - m + 14, 5*r = 2*n + 47. What is the smallest common multiple of 9 and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k + 90 = 25*k. Solve -17 - 8 = -k*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 644878 by -13.\nAnswer: -49606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 13629?\nAnswer: 5\/13629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 21*v**2 - 2. Let o(q) = -18762*q**2. Determine z(o(s)).\nAnswer: 7392265524*s**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 - -21 - (-8 + 1).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 6:55 AM?\nAnswer: 10:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 527*m**3 - 341*m**3 + 0 - 494*m**3 + 0.\nAnswer: -308*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 AM and 11:29 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*1452\/(-8)*-24*(-4)\/144.\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 - 4*u**2 + 22*u - 135. Calculate z(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 - 5*v**2 + 13*v + 20. Let q be w(-7). Suppose 5*i = q + 23. Solve 5*y - 7*y = -i for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 2:23 AM?\nAnswer: 9:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-2)*284\/(-2982).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l - 2. Let v be u(4). Let x be (-12)\/(-20) + 60\/25. Suppose -3 - x = v*z. Sort -4, -2\/17, z in descending order.\nAnswer: -2\/17, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -911*y + 63 + 909*y - 2*y**2 + 2*y**4 + 7 to n*y + i + l*y**3 + d*y**4 + r*y**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.65 * 0.1.\nAnswer: -0.165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-52)\/(-39)*87*(1 + 0). Suppose -2*x + x = -3*z - 265, 2*z + 4*x = -200. Let c = r + z. Calculate the remainder when c is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(3\/2)*p)**(-2\/119))**(-2\/21) assuming p is positive.\nAnswer: p**(10\/2499)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 319*n - 3178. Let b be a(10). Suppose 0 = -0*i + 4*i - 80. Solve -b*q = -7*q + i for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 2 - 10. Let o be (-1)\/(-6)*(-4)\/z. Which is smaller: o or 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 551 = 539. Let y(i) = 269*i + 91. What is the hundreds digit of y(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 10, 54, 180, 430, 846?\n\"Answer: 7*s**3 - s**2 - 2*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 PM and 8:26 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 899, 894, 889, 884?\nAnswer: 879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 + -3 + 0)*-3. What is the first derivative of 32*u**4 - p + 4 - 19*u**4 + 5 wrt u?\nAnswer: 52*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 - 16*w - 1. Let j be (-7 - 120\/(-18))*(6 + 21). What is u(j)?\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/4)\/((-1)\/(-8)). Suppose -5*z - 4*k = -6*z - l, -2*z - 4*k + 16 = 0. Suppose -2*f + z = -6. Solve g - 16 = -g + f*q, -5*g - 2*q = -11 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3896, -3891, -3874, -3839, -3780, -3691?\nAnswer: -3566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 = 2*j + k, -2*j - 2*j - 168 = -4*k. Let f = j + 79. Let z = f + -31. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 2*v - 502, 2*v = -2*p - 2*p + 670. What is the greatest common factor of p and 756?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 PM and 10:25 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -5923649 and -41465544\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 12:36 AM?\nAnswer: 11:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -123 (base 6) to base 11\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oj when two letters picked without replacement from jjjoojjo?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11849333 and 767223?\nAnswer: 106643997","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {v: 9, u: 10}?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 557 at least 601?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1320 + 29057\/22. Calculate the common denominator of q and -151\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o = c + 2*o - 127, 4*c = 4*o + 460. What is the least common multiple of c and 6?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -26?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 134 and 1016099?\nAnswer: 136157266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28757.2ml to litres.\nAnswer: 28.7572","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 AM and 3:09 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.4, -0.464, -5 in ascending order.\nAnswer: -5, -0.464, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - g = 0. Suppose s - 16 = -g*s. Suppose 0 = 26*l - 14*l - 540. Calculate the remainder when l is divided by s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76886 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: Rearrange -899 + 35*j**2 + 899 to v*j + l + p*j**2 and give p.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 583?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oa when two letters picked without replacement from {c: 3, a: 5, o: 3}.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -126 + 126 - 63*a**2 + 51*a**2.\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f + 3. Let t be 8\/12*(-3)\/(-2). Suppose 5*u + 10 = 0, -j = -3*u - 5 - 4. Let b be t\/((3\/2)\/j). Give z(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/10 of a century in decades?\nAnswer: 17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j - 9. Let c(d) = -9*d + 81. Let k(f) = 18*b(f) + 2*c(f). Let u(w) be the third derivative of -w**5\/20 + 51*w**2 + 1. Give k(u(x)).\nAnswer: 108*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -17*w**2 - w - 3. Suppose -2*o - 6 = o. Let u be m(o). Let i = 131 + u. What are the prime factors of i?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.36 - -3. Let m = -0.14 + r. Which is greater: m or 0.2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/7 (b) -1 (c) 4.7 (d) 1 (e) -6 (f) 0.4 (g) 2\/9\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 78 and 37986.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -4*d**3 - d - 2. Let t be s(2). What is the tens digit of (-55)\/(-2)*t\/(-45)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (14\/6 - -1)\/(56\/84). Suppose -3*p + 139 = 4*g - 86, -s*p + 3*g + 404 = 0. List the prime factors of p.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -192728 divided by -96364?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(3\/2)*m**(2\/5))\/((m**(-1\/10)*m)\/(((m\/m**(-6))\/m*m*m)\/m)))\/(m**(2\/3)*m\/(m*m**(-4)))**(24\/13) assuming m is positive.\nAnswer: m**(-8\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -111345 - 2?\nAnswer: -111350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36480\/(-43472) + 18\/13?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from nnpnpnpnpppp?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 140*y + 5613. Let w be u(-40). Let s(j) = 76*j + 1. Let z be s(7). Calculate the greatest common divisor of w and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c = 333 - 256. Is 21 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*d + 2*d - d)*(3*d**2 + 5*d**2 + 2*d**2) to a + k*d**3 + g*d**2 + n*d and give k.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*i = 2*q - 6*i - 61, -11 + 16 = i for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -414*m + 205*m + 195*m. Let x(d) = 13*d + 7. Let n(y) = -2 + 3 + 0 + 4*y + 1. Let q(l) = 7*n(l) - 2*x(l). What is q(o(w))?\nAnswer: -28*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-13)\/(-11) - (-2)\/(-11). Let t = 3 + o. Suppose 2*q - 14 = 5*b, 1 = q - t*b - 0. Is q a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -5\/4, -2\/11, -0.04, 1?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 177416 = -74*b. Which is greater: b or -2645?\nAnswer: -2645","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhhh when four letters picked without replacement from hhhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2925 = 1769*z - 1964*z for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 76*(2\/5)\/((-6)\/30). Let v be (-41)\/(5 - 12\/3). Let h = v - t. List the prime factors of h.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165676606 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -89, 2, -863, 5 in increasing order.\nAnswer: -863, -89, -5, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 229233?\nAnswer: 3, 43, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -13*k**3 + 13*k**2 + 13*k - 11. Let u(x) = -x**2 + x. Let d(c) = -7*c**3 + c**2 + 13*c - 6. Let w(g) = d(g) - 6*u(g). Determine 6*i(t) - 11*w(t).\nAnswer: -t**3 + t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of -259.14796832 and -3.01.\nAnswer: -262.15796832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 1*sqrt(11))*-4.\nAnswer: -4*sqrt(11) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 2*b - 3. Let n(j) = -j**2 - 8*j - 7. What are the prime factors of n(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 - 8*q**2 + 8*q + 8. Let t = 7 + -10. Let s(a) = -3*a**2 + 3*a + 3. Calculate t*l(r) + 8*s(r).\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of -n**6\/120 - 57*n**5\/20 + n**4\/6 + 2305*n**3\/3 - 1853*n**2. What is the first derivative of m(q) wrt q?\nAnswer: -3*q**2 - 342*q + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 + -13. Let w(d) = 12 - 3*d - 4 - 9 - j*d. Determine w(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/((-40)\/34) + -3. Let i be (-4 + -1)\/(-5) + 2\/1. Suppose 0 = -5*p + 15, i*p - 16 = -2*y - 7. Which is smaller: y or u?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 482 is divided by 61?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + o = -o - 45, -2*o - 71 = 5*m. Let t = -25 - m. What is the common denominator of -70\/9 and 6\/(-24) + 107\/t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 613, -12, -5, 1\/8, 1\/129, -1?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 70609105?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1003235223?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/21691511?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*m**2 - 2*m**2 + 15 + m**2 - 4*m**2 to j*m + a*m**2 + w and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -7407 < -7332?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((7\/(-49))\/(-1))\/1\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 2*t**2\/3 - 49168*t\/3 - 688744\/3 = 0?\nAnswer: -14, 24598","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + 0. Let g = -150 - -157. Which is smaller: g or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*u - 12 + 14 + 8*u**3 - 12*u**3 + 13*u**3.\nAnswer: 9*u**3 - 39*u + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 36*j**3*z**3 + 30*j**3*z + 9*j**2*z - 2*j*z + 218*z**4 wrt z.\nAnswer: 216*j**3*z + 2616*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 23795074 to the power of 1\/2, to the nearest integer?\nAnswer: 4878","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -472 (base 8) in base 4?\nAnswer: -10322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -172916, -345491, -518066?\n\"Answer: -172575*p - 341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*i - 3*i - 2*i)*(51*i - 24*i + 316*i) in the form n + f*i**2 + r*i and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -372d8 - -13a?\nAnswer: -3719c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115037 is divided by 678.\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, g: 1, m: 1, o: 1, h: 5, w: 5}. Give prob of sequence mphh.\nAnswer: 1\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = k, 4 = -2*u - 3*k - 1 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 793237386 to the nearest integer?\nAnswer: 926","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1823 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and (-26)\/(-117) + (0 - 68\/(-18)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -10*o - 555. What is f(-62)?\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3756711, -7513410, -11270109, -15026808, -18783507, -22540206?\nAnswer: -26296905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 1)*(33 - 33 - 12*u) + (-2 + 2 + 2)*(u + 2 - 2 + 2).\nAnswer: 14*u + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y. Let q(z) = 15*z**2 + 6*z - 17. Let v(d) = d**2 + d - 2. Let g(t) = q(t) - 6*v(t). Give g(w(j)).\nAnswer: 9*j**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of k**6\/120 + 3*k**5\/20 - 5*k**4\/24 - 2*k**3 - 2*k**2. Is t(-9) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m - 8*m + 2*m)*(2*m**3 + 1 - 2*m - 1)*(3*m - 5*m + 3*m).\nAnswer: -6*m**5 + 6*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - z + 12 = 0, -21 = -4*p + 2*z + z. Suppose 6 + 0 = p*o. What is the remainder when 0\/(-2) + -1 - -4 is divided by o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 AM and 10:48 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 PM and 10:23 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -156918880?\nAnswer: 31383776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 293468 is divided by 116.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 462.802 to 0 dps.\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6250 and 1575.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -0.2, 1, 13, 0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/(3*(-3)\/(-9)). Suppose 0 = -5*s - 5, -b = b - n*s - 27. Solve l = -3*g - b, g - 27 = -3*l + 4*g for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(45) + -1 + ((sqrt(70)\/sqrt(2))\/sqrt(7))**2.\nAnswer: 4 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2\/1443 - -3032\/105339. Let v = 85\/438 - t. Which is the nearest to 1\/2? (a) v (b) 3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/11)\/((-5229)\/(-49302)).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -292617*m**3 - 3*m**2 + 77*m + 50 wrt m.\nAnswer: -1755702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 + 106. Let w(j) be the second derivative of -23*j**4\/12 - 719*j. Determine h(w(y)).\nAnswer: 529*y**4 + 106","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.330165um to centimeters.\nAnswer: 0.0001330165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**4 + 0*t**4 + t**4)*(0*t + 2*t + 0*t) - 444*t**5 + 87*t**5 + 232*t**5.\nAnswer: -121*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11639 and 1957.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17*16)\/2*(75\/850)\/(144\/(-408))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -71 (b) 0.1 (c) 5 (d) -5 (e) -48 (f) -55\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaggg. Give prob of picking 2 a.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (168\/70)\/(4\/30). What is the second derivative of 4*o - 10*o - i*o**5 + 17*o**5 wrt o?\nAnswer: -20*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 477 and 562171.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/1*(-36)\/90.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/7392 and 59\/41762.\nAnswer: 22050336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 65 = 55 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*q + 134*q - 620 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 76\/3 and -155\/95628.\nAnswer: 95628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 - 24*i**2 + 43*i + 17. Suppose -h = -y + 23, 165 = 4*y + 5*h + 82. What is k(y)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, -6, -229\/153 in decreasing order.\nAnswer: 29, -229\/153, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 184 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 180771551 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 5 = 2*p - 0*r, 0 = 2*p + 2*r for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49971 is divided by 23?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of 13*t**2 + 1\/6*t**3 + 0 - 2*t. List the prime factors of a(-12).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 654 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 177*q**4*s + 4*q**3*s - 3*q**2*s - q*s + q + 96*s + 79 wrt q.\nAnswer: 2124*q**2*s + 24*q*s - 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 47969, -3, -7\/4, -0.1 in ascending order.\nAnswer: -3, -7\/4, -0.1, 47969","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/13)\/(i**(-1\/7)\/i))**(2\/21) assuming i is positive.\nAnswer: i**(236\/1911)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -629 - -633. What is the second biggest value in 5, b, 224?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 541535700 to the nearest one hundred thousand.\nAnswer: 541500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -1 - 2*s + 9 + 3*s + 6. Let h(d) = 3. Let l(t) = 12*h(t) - 3*r(t). Let m be (1\/(-2))\/((-1)\/(-10)). Give l(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.963 + -0.037. What is the third smallest value in -3, -0.1, -1\/4, k?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 9, y: 8, l: 2}. Give prob of picking 1 l and 1 y.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6734)\/2590*8\/(-78).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 5) to base 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*m**2 - 183 + 763 - 3*m**2 + 4*m**2.\nAnswer: 5*m**2 + 580","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 3*b - 31, -6*d - 3*b = -7*d + 20. Suppose -d*u + 15 = -6*u. Let k(l) = -2*l - 3. Determine k(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26010, -20356, -10932, 2262, 19226?\nAnswer: 39960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - x - 352 = 4*m, 5*x - 4*m - 874 = 0. Let s = 205 - x. Does 26 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52899 rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 4:32 PM?\nAnswer: 9:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28727\/54 + 532. Let j = -10\/27 - q. What is the common denominator of j and 107\/(-6) - (-2)\/2 - -5?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 PM and 9:35 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 - 34*t**2 - 34*t - 23. Calculate z(-33).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 786668939?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-five quarters of a millennium?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*f + 4*f - 11*f**2 + 4*f - 20*f**2 wrt f?\nAnswer: -62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8\/(-10))\/2*5. Suppose 0 = -4*v - 2*q + 2 - 16, 14 = v - 3*q. Which is smaller: f or v?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-10)\/3)\/((-91)\/90 + 1). Suppose 65 = 5*q + t. Let o = -43 - q. Solve 0*s - o*s = -4 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 + 44*k**2 - 2*k + 97. What is q(44)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 22 = 2*i + 2*i, -4*i = -4*v - 16. Let d be 25\/(-3) + i\/15. Let h = d - -7. Which is smaller: 1\/5 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 463 is divided by 117?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 1410 = -1210. Let x be (-10)\/(1668\/186 + -9). Suppose 0 = -6*t + c + x. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32951 and 256802?\nAnswer: 101950394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 234232487 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.35 + 0.05. Let m = w - -0.30012. Round m to five decimal places.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 57834 and 4194750.\nAnswer: 339774750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of 2*m**7\/105 + 10*m**3\/3 - 43*m**2. Differentiate h(c) wrt c.\nAnswer: 16*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 - 165*z**2 + 492*z - 2010. Give g(-168).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 34905065 greater than or equal to 34905063?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, 1, -332\/7, -0.4, -2\/13, -0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25 - -30.5. Let b = -6 + c. What is the third biggest value in b, 1\/8, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 222107 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 5*w = -26, 0 = u - 0*u + 5*w - 1. Let l be (-24)\/u*153\/12. Let s be l\/10 + (-2)\/5. Solve -3*k + 1 - 8 = 5*o, s*k = 3 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166914 is divided by 183?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*p**2 - 8*p**2 - 10*p**2)*(10 + 105*p - 4 - 8) to u*p**3 + r*p**2 + c + k*p and give u.\nAnswer: -1680","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of -1\/24*y**4 + 0 - 5\/3*y**3 - 3*y**2 + 0*y. Suppose 4*u = 3*n - 8 - 27, 2*u + 5 = -n. What is c(u)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 5, h: 8}. What is prob of picking 1 h and 1 b?\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 + f. Suppose j + 4*j = 10. Let c(t) = -30*t**j - 3*t + 0*t + 31*t**2. Calculate -c(z) - 2*l(z).\nAnswer: -3*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4153*m + 9 = 2*k + 4148*m, k + 4*m + 2 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of -l**5\/30 - 4*l**2. Let f(r) = -12*r**2. Calculate f(c(u)).\nAnswer: -48*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 449*d + 12. Let v(i) = 90*i + 2. Determine 11*v(g) - 2*w(g).\nAnswer: 92*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 729*q - 410326 = 631*q. Calculate the highest common divisor of q and 159.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3 + 120*u**2 - 3353*u + 3234.\nAnswer: -(u - 77)*(u - 42)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -0*y + 8. Let c(t) = -3*t**3. Let l(q) = -q**2 + 4*q + 4. Let g be l(5). Let n(j) = j**3. Let d(r) = g*c(r) + y*n(r). Factor d(m).\nAnswer: m**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 460 + -455. Solve 24 = -5*x - 0*k - k, -5*x = -f*k for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: c9 (base 14) to base 10\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1061 - -49864\/47. Let o = -85\/141 + m. Let p = 0 + 0. Which is the third smallest value? (a) p (b) o (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n**3 - 15*n**2 - 22*n - 22. Determine t(9).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -760*f + 209 - 2*f**2 - 737 + 760*f in the form l + d*f**2 + b*f and give l.\nAnswer: -528","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*d**2 + 68*d**2 - 19*d**2.\nAnswer: 10*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 134645 and 3605?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = -2*h + 363 - 353, 9*f + 230 = 46*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 2*x + 3*d, -6*d + 14 = -x - 2*d. Let w be (50\/(-15))\/(1\/x). Which is smaller: w or -19?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -7290903.\nAnswer: -1458180.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 273*p + 59. Let b be (6 - 0) + -2*1. Is h(b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, f: 2, p: 1, a: 4, k: 3}. What is prob of sequence apk?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.0489 (b) -1\/10 (c) -8 (d) 0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 745 divide 3443583?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/271839 and -85\/362452?\nAnswer: 1087356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*a**2*d**2 - 221*a**2*y**2 - 8*a*d**2*y**2 - 5*a*d**2 - 2*a wrt a.\nAnswer: -6*d**2 - 442*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1121146 or 1121157?\nAnswer: 1121157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 48 and 48 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -22291*v. Let n(s) = -25*s**2 + 2. Give n(u(i)).\nAnswer: -12422217025*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8 + -1ca?\nAnswer: -1c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 45, 11, 0.04, -10, -107?\nAnswer: -107","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 19470\/70 - (-4)\/(-28). Let i = q - 133. Does 5 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*m - 317*m + 2960 = 0 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-27)\/(-48)*(-8 - (-260)\/30)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2622 = -59*t + 33*t + 95*t for t.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*h - 149*h + 128*h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 101*a**3 - 5*a**3 - 7 + 0 - 2 in the form u*a + i*a**2 + q*a**3 + j and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.4 - -1.4. Let i = 0.1 + b. What is the closest to 0.2 in -1, -0.06, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + 14140144?\nAnswer: 14140200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -0.02, 20, 7\/171, -5\/4.\nAnswer: -5, -5\/4, -0.02, 7\/171, 4, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.269 - 0.011. Let j = u + -0.42. Which is smaller: j or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 175*m**3 - 506*m**3 - 160 + 155*m**3 + 177*m**3.\nAnswer: m**3 - 160","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of 11\/40*s**6 + 0*s**5 - 145*s**2 - 7\/24*s**4 - 5\/6*s**3 + 0 + 0*s. Find the second derivative of a(g) wrt g.\nAnswer: 198*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 431903?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3795)\/(-9108))\/((-10)\/9). Let i = 24501\/49 + -500. Let p = i + 45\/196. What is the closest to p in 0, v, -0.7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 304*c - 3*c**2 - 1246 + c**2 - 159*c + 0*c**2 - 106*c wrt c.\nAnswer: -4*c + 39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -236880 by 4.\nAnswer: -59220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + (2068\/(-17568) - -4). Let c = -4\/549 + l. Calculate the common denominator of -73\/24 and c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 305 - 197. Suppose -b - w = -948. What is b rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -46980033.57 + -8\nAnswer: -46980041.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5134863841274 and 0.4.\nAnswer: -5134863841273.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**3 - 348*d**2 - 7392*d + 7744.\nAnswer: -4*(d - 1)*(d + 44)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.7 + 0.3. Let l be (-12)\/9*(75\/(-20) - -4). Let h = -0.006 + -0.994. Which is the nearest to h? (a) 4 (b) l (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_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: Express (-4 + 4 + 2*b)*(4*b + 0*b - 2*b)*(-4*b + b + b) in the form y + h*b**3 + i*b + t*b**2 and give h.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 60 = 3*t, -2*f + 34 = 4*t - 32. Calculate the greatest common factor of t and 171.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6420.317 decades to centuries.\nAnswer: 642.0317","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(513)*2 + sqrt(513))\/(-2*sqrt(192)))*-4*-5.\nAnswer: -45*sqrt(19)\/4 + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 0 - (-11 + 12).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of s**2\/2 - s - 9. Let t(v) = 11*v + 14. Let x(w) = j(w) + t(w). Is 19 a factor of x(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b2 - -2?\nAnswer: -b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1308412 is divided by 327096.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 0 - 2) + 8 + -5\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1320*t = 646*t + 632*t + 126 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/20 + 11 + 459\/(-45)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 251 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-12)\/(-50))\/(2\/(80\/12)). What is the third smallest value in -4, i, -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/((a*a*a\/(a**(23\/3)\/a*a))\/a)*a\/(a\/(a**(1\/12)*a)))\/((a*a*a\/((a*a**13*a*a)\/a)*a*a)\/(a\/a**(4\/5))) assuming a is positive.\nAnswer: a**(359\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-6)\/(x\/(x\/x**(1\/2)))*(x\/x**(1\/8))\/(x\/(x*x**(-6))) assuming x is positive.\nAnswer: x**(-93\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3997111 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4438543?\nAnswer: 61, 72763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 303 is divided by 66\/4*(-24)\/(-9).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 11*r**2 + 401*r - 863. Determine x(2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6635647 a multiple of 339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c**2 + 67*c - 55*c + 0*c + 9*c**2 - 12*c.\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 479, 1, -1, -5\/8 in ascending order.\nAnswer: -1, -5\/8, 1, 479","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + v - 13 = 0, -3*d - 2*d - 3*v + 25 = 0. Suppose d*s = -4*m + 222, 2*s - 2*m + m - 232 = 0. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = -7*u + 19 - 10, -5*u + 9*r = 5 + 1 - 25 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(360)\/(sqrt(12)*-3) - (sqrt(3630) - sqrt(3630)*-2))\/(-6*(sqrt(1210) - 2*sqrt(1210))))**2.\nAnswer: -12500\/3267","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 193 is divided by 65?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 45\/4 of a century?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in 0.4, 1\/8, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 28.\nAnswer: 1, 2, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 e when three letters picked without replacement from {r: 10, e: 2}.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 368965.7us to milliseconds.\nAnswer: 368.9657","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 - -1131. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2024615 and 2024614 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of 6*g - 1 + 23\/30*g**6 + 0*g**5 + 0*g**4 + 0*g**3 + 1\/2*g**2. Find the first derivative of f(d) wrt d.\nAnswer: 92*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 405067?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 119078 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*n + 49*n + 10*n**3.\nAnswer: 10*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/(-5))\/((-4)\/(-10)). Let q(m) = m**2 - 4*m + 3. Let c be q(g). Suppose c = -2*a - 3*v + 181, 3*a - a + 2*v = 180. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v**2 + 11. Let r(y) = y**2 - 6. Suppose -9 = 4*h + 3. Let b(f) = h*m(f) - 5*r(f). Differentiate b(x) wrt x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 329320795 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1740.\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.772171 millennia in decades?\nAnswer: 977.2171","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 486171625.\nAnswer: 5, 3889373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -79, -72, -55, -22, 33, 116, 233?\n\"Answer: o**3 - o**2 + 3*o - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*(-1 - (0 + 0)). Let w be 1 - -2 - 107934*(-6)\/603. Let c = w + -1077. Is y at least as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4358637172 and -0.03?\nAnswer: 4358637171.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 13*x. Let c(d) = -2*d - 3. Let u(y) = -4*y - 5. Let v(i) = 10*c(i) - 6*u(i). What is f(v(n))?\nAnswer: 52*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 787 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20505 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y, 1 m, and 1 f when four letters picked without replacement from mnppyyfm?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1694 divided by 5.\nAnswer: -1694\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 2624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 + 16. Suppose x*y + 3*y - 222 = 0. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*x**3 - 19*x - 24*x - 28*x + 49*x.\nAnswer: 45*x**3 - 22*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1227124 - -0.33?\nAnswer: -1227123.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of (45\/(-36))\/(55\/28 - 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 5*c**4 - 3*c**3 - 23 + 0 - 7 + 10 to n*c**4 + a*c + d + i*c**3 + k*c**2 and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at most as big as 1238?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 12396645 to the power of 1\/2, to the nearest integer?\nAnswer: 3521","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 18439.33 litres?\nAnswer: 18439330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 208 divide 113568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4\/15 - 53\/30. Let y = -559243777\/20 + 27955788. Let b = 6399 + y. What is the common denominator of z and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.161 and 0.4?\nAnswer: 0.0644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/3, 2, -5, -290 in ascending order.\nAnswer: -290, -5, 4\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 8. Suppose -s*q - 2 = -14. Let v(z) = -13*z. Let c(k) = 6*k. Let f(j) = q*v(j) + 14*c(j). Let d(u) = -u**2. Give d(f(a)).\nAnswer: -36*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7578302 divided by -42.\nAnswer: -3789151\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 450*y + 454*y + 448*y + 452*y + 453*y - 2262*y.\nAnswer: -5*y + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.3117634ug?\nAnswer: 0.0000003117634","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 14\/2*(-14)\/(-49) + 5. Suppose -458 = -m*u + 123. Find the second derivative of u*t**3 - 5*t - 94*t**3 - 15*t wrt t.\nAnswer: -66*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 138259 rounded to the nearest 1000?\nAnswer: 138000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169*w = 2*j + 162*w - 237, 19*w + 681 = -4*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 236.\nAnswer: 1\/118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t**2 + 15*t - 10. Let j be v(-8). Put -3, -5, j in descending order.\nAnswer: j, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1628.6 + 1628.0286. Round r to 2 decimal places.\nAnswer: -0.57","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -28 - -27. Let o = 6 - 11. Put -2, o, 3, x in descending order.\nAnswer: 3, x, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 2*z + 2 = 0, 0 = 3*x - 4*z - 67. Let y be 36\/x - (-6)\/21. Suppose 3*s + 167 = f + f, 73 = f + y*s. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*b - 8*b = 162 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10361755.00343 + -10361411. Let t = -0.0063 - 343.9937. Let x = m + t. What is x rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((270\/12)\/(-15))\/((-5)\/(-70)*91)?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -1822*z**3 + 13*z**2 - 39*z + 276. Let r(p) = -455*p**3 + 3*p**2 - 9*p + 69. Let o(i) = 6*l(i) - 26*r(i). Find the first derivative of o(q) wrt q.\nAnswer: 2694*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 126103 divided by 5\nAnswer: 126103\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 196930.2ml in litres?\nAnswer: 196.9302","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (384\/(-112))\/((-6)\/10402)?\nAnswer: 2, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of 31*t**6\/120 - 29*t**5\/60 - t**4\/12 - 120*t**2. Find g such that s(g) = 0.\nAnswer: -2\/31, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3716162 to the nearest one hundred thousand.\nAnswer: 3700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20688710 to the nearest integer?\nAnswer: 4548","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 154 + -154. Suppose s = 11*j - 2147 - 570. Is j a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2087, -12621, -41215, -96899, -188703?\n\"Answer: -1505*j**3 + j - 583","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 221.\nAnswer: 884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 0*g = g, -2*g = 0. Suppose 3*t - 2*k = -9, n*k + 5*k = -3*t + 12. Sort -5, 4, t in decreasing order.\nAnswer: 4, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -39744851*y**4 - 6859857*y**2 - 3*y + 2.\nAnswer: -953876424*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-464)\/(-7) - 268\/938. What is the highest common divisor of 2112 and q?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0\/(-1))\/(0 - -1) + -2. Let a(s) = -8*s - 6. Let r be a(n). Solve 3*i + r = 1 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9*((-5)\/10)\/((-2)\/4)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005879 rounded to three decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.5106464 to two dps.\nAnswer: 6.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 201319464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 divided by 2?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6507?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**6\/w**10)\/(w*w\/(w*(w\/w**(1\/6))\/w)*w*w**0\/w*w))**(1\/9))**(2\/63) assuming w is positive.\nAnswer: w**(-37\/1701)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t + 42 = -15*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 411652701?\nAnswer: 3, 3833, 11933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5221, -20875, -46933, -83401, -130285, -187591, -255325?\nAnswer: -333493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*l - 12*l - 56. Let u = l + 9. Which is the nearest to -1? (a) 1\/6 (b) u (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t. Let s be w(8). Let v = s + 144. Does 39 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 AM and 11:30 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w**2 - 770*w + 63153. Calculate q(267).\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*a + 163347 = -120729. What are the prime factors of a?\nAnswer: 13, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -179 (b) -9 (c) -0.2454 (d) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*p + 1 = u + 77*p, 5*u - 2*p = 11 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -69 + 69. Suppose c = -y - 6*y + 329. Calculate the remainder when y is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - 0) + 4 + 0. Suppose 2*p + 68 = o, -5*o - z*p + 295 = p. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -116*w + 3432 + 1321 + 1279 for w.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 361295, 722590, 1083883, 1445174, 1806463?\nAnswer: 2167750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-9)\/(-4))\/(2\/8). Suppose -w + 15 - 14 = 0. Suppose w = -k + p. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176)*-2*-3 - -4*-1*sqrt(11)*4)**2.\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -152 in 4, 2\/9, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (0 - 3) - 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -94*d*f*o - 6739*d*o - 661*d + 32*f + 138 wrt o.\nAnswer: -94*d*f - 6739*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 66*j - 453. Let s = -31 + 37. What is the remainder when v(7) is divided by s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 67215833*q**3 + 136091547*q**2 wrt q?\nAnswer: 403294998","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 h when two letters picked without replacement from {r: 1, d: 3, j: 1, f: 1, h: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -341 + 348. Let z(c) = 38*c - 2. Calculate the remainder when z(2) is divided by j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p**2 - p - 1. Let l be (3\/(-2))\/(9\/(-12)). Let y(z) = -4 - 2*z**2 + 1 - z**2 + 7*z**2 - l*z. What is 7*d(i) - 3*y(i)?\nAnswer: 2*i**2 - i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 187373\/281046 + -3\/93682. Factor -8\/21 - x*k**2 + 32\/21*k.\nAnswer: -2*(k - 2)*(7*k - 2)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -33 + 37. Let a = -101 - -809\/8. Sort 3, a, x in decreasing order.\nAnswer: x, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 4*d + b - 112, 112 = 2*d - 4*b. 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: Evaluate 0 - -1 - (-4 - -5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 + 10*u**2 - 25*u - 330. Let n be c(-8). Let y = 0.2 + 0.3. What is the closest to 0.3 in y, -1, n?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(100)\/(sqrt(8)\/sqrt(2)))\/(sqrt(135)\/sqrt(3)))**2.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/13 (b) -2\/5 (c) -18 (d) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 10*c**2 - 40*c + 8. Let q(f) = -6*f**2 + 25*f - 5. Let n(l) = 5*p(l) + 8*q(l). Let g(m) = -m - 273. What is n(g(u))?\nAnswer: 2*u**2 + 1092*u + 149058","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 8\/37, 0.4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - r + 16, 0*c - 4*c = -r - 12. Let z(x) = 10*x + 54 + x**2 + 2*x + 0*x + 3*x. Let a be z(-10). Solve y = 5*o - 17, -4*o + 0*y = -c*y - a for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77989577 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 + 4*(-2)\/(-8). Let 16 + n*b**2 - 9*b**2 - 11 = 0. What is b?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52870?\nAnswer: 2, 5, 17, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 11 = -0*w + k, 0 = -k - 2. Let z = 28 - 24. What is the smallest common multiple of 6\/z + (2475\/10)\/11 and w?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.206 + 0.576. Let z = n - -2.63. Is z less than or equal to -23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 + 2*b**2 - 4*b. Let s be o(-3). What is the highest common divisor of s and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.654 or -607?\nAnswer: -607","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kxlthth. Give prob of sequence ttkl.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ifhkfyiq. What is prob of picking 1 y and 1 h?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 298 by 2478.\nAnswer: 149\/1239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -65027128 by -167.\nAnswer: 389384","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5243, 10372, 15499, 20624, 25747, 30868?\nAnswer: 35987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 36 - 69\/2. Let a be (35\/(-2))\/5 - -4. Factor -a*q**4 + q + 0 + 0*q**3 + m*q**2.\nAnswer: -q*(q - 2)*(q + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-369)\/(-15) + (-244)\/(-610). What is the greatest common factor of j and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(-978)\/(-150) - (-306)\/(-510)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202 (base 10) to base 12.\nAnswer: 14a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -187406, -374807, -562208, -749609, -937010, -1124411?\nAnswer: -1311812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v + 0*v + 5*v)*(-8*v**2 + 13*v**2 + 2*v + 6*v).\nAnswer: 5*v**3 + 8*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - -6. Let x(z) = z - 6. Let q be x(n). Suppose 3*u = i, -q*i = -0 - 6. Calculate the lowest common multiple of 6 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 320908 and 1925448?\nAnswer: 1925448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwlzdzwziisslili. Give prob of sequence wwss.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that l**4\/4 - 7*l**3 + 25*l**2\/4 + 27*l\/2 = 0.\nAnswer: -1, 0, 2, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3431806*t**6 - 11*t**2 + 166539.\nAnswer: -411816720*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8315 + 8314.999972948. Round y to 7 decimal places.\nAnswer: -0.0000271","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1023824, -1024110, -1024400, -1024694, -1024992?\nAnswer: -1025294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1\/7, 2, -0.01, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1212096983.\nAnswer: 6701, 180883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -4. Suppose -3*l = 4*t - 14, t - d*l = -5*l + 1. Suppose -10002 = j - y, 0*j + t*y = -3*j - 29990. Round j to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -557 = -5*l - 2*r, -2*r - 333 = -5*l + 220. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-957)\/297 - 5\/((-15)\/9). Is k < 2\/5431?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -436*r = -647*r - 2110 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/4 - (-33)\/44. What is the closest to i in -2\/7, -3, -4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 - 16. Suppose g = y - 5*y + 76. Is y a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 151318\/5 + -30263. Solve -1\/5*w**2 + 2 - d*w = 0 for w.\nAnswer: -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 439684\/189968 - (-27)\/(-12).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 - 2*k**2 - 2*k + 1. What is d(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1302.41747 to the nearest one hundred.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h - 5*h - 30. Let q = -139 + 129. Let r = h - q. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r + 30 = 2. Let h(l) = 3*l + 2. Determine h(r).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aya when three letters picked without replacement from yyayyyyyayyy?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 4 + 4. Suppose -6 = 2*i, -w*f = 5*i + 6 + 1. What is the third derivative of -3*c**4 + 2*c**5 + 2*c**4 + 3*c**2 + c**f wrt c?\nAnswer: 120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 306650 is divided by 567?\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 3 + 0)*(-87*f**2 + 446*f**2 + 157*f**2) as b*f + u + c*f**2 and give c.\nAnswer: -1032","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 699518523 to the nearest integer?\nAnswer: 888","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 - l + 9. Suppose 0 = 17*q + 43 + 25. Calculate f(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53818623434 - -4?\nAnswer: -53818623430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 70*a**2 - 5447*a - 1019. What is t(78)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 35739401 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -774 = 5*u - 8*u. Suppose 3*z - u - 129 = 0. List the prime factors of z.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2728 and 258137.\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 AM and 7:23 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 3*u**2 - 15*u + 1. Let y be n(3). Let x = 20 + y. Let j = -6.1 - -3.1. What is the closest to -5\/7 in x, j, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1151\/5 - 234. Let x = q + 23\/5. What is d in x*d**2 - 2\/5 - 7\/5*d = 0?\nAnswer: -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**9)\/(v\/((v\/v**(-1\/23))\/v)))\/(v**19*v\/(v\/v**(6\/13))) assuming v is positive.\nAnswer: v**(-3115\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -5*v. Let o(n) be the second derivative of 43*n**5\/60 + 145*n**2 + 264*n + 2. Let m(z) be the first derivative of o(z). What is m(p(g))?\nAnswer: 1075*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28 - 30. Let z(m) = 5*m**2 + 3*m + 2. Let g be z(t). Let p = -24 - -26. Solve -p*n + g = -u + 4, n - 16 = 3*u for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1878c (base 14) to base 11.\nAnswer: -42530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -6 - (-394 + 472 - (5 + 3))\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 4:30 AM?\nAnswer: 4:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3300 and 1787775.\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 11:48 PM?\nAnswer: 7:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 954*6\nAnswer: 5724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(768) + -2).\nAnswer: -64*sqrt(3) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -5 + 3*41\/3. Suppose l*f = 630 + 18558. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**4 - 603*y**3 + 94128*y**2 - 963776*y.\nAnswer: y*(y - 296)**2*(y - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 201*h + 2. Let o(u) = 6*u**2 - u**2 - 4*u**2 - u**2 - u**2. Determine o(c(i)).\nAnswer: -40401*i**2 - 804*i - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -50\/11 (b) 21 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 4, 1\/6, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97962 (base 11) to base 3.\nAnswer: 21020010021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325)*-2)**2*2*6 - (sqrt(325) - (sqrt(325) + 1 - sqrt(325))*-2 - (-1 + 1 + sqrt(325)))**2.\nAnswer: 15596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*(-24)\/(-24)*(-2)\/(-28)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*q*x**2 + 6026*q*x - 2*q + 68*x**2 - 58 with respect to q.\nAnswer: -2*x**2 + 6026*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 17 divided by 282\nAnswer: 17\/282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 870 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 3)*(23*a - 63*a - 32*a)*(-1 + 1 - 2).\nAnswer: -144*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + w = -84, -4*u - 3*w = -56 + 4. Let x = -14 + u. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 - 6*v - 22. Let t(k) = 4*k**2 + k + 2. Let y be t(-2). Let c = 25 - y. What is the units digit of l(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 2 - 2 = 2*p, -3*p - 16 = -4*j. Suppose 13 + 2 = 5*r - j*s, 4 = 2*r - 2*s. Is 2 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 215872691?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 30*(49\/(-35) + 1). Let h(i) = i**2 + 12*i + 2. Calculate h(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 16858 and 13326 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 10*v - 12. Factor 1\/2*w**4 + 3\/2*w**3 + 3\/2*w**v + 0 + 1\/2*w.\nAnswer: w*(w + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 15 = -18. Suppose 6*n - 11 = 3*n - 2*o, -k*o = 3*n - 12. Solve -n = p + 2*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 88 and 4.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v - 4. Let x be m(-3). Suppose x*i - 3 = w, -5*i + 2*w + 6 = -4*i. Suppose p = -5*c + 48, i = 3*c - 3*p + 3 - 21. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) + 5*sqrt(88)*1 - (sqrt(88) - (sqrt(88) + sqrt(88) + 1*sqrt(88) + sqrt(88))*-2))\/(-4*(sqrt(648) - (sqrt(648)*2 + sqrt(648)))).\nAnswer: -sqrt(11)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 338668 by -946.\nAnswer: -358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22122 - 10?\nAnswer: 22112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*f**2 + 13*f**2 - 2*f**3 - 26*f**2.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 + 6*c + 390. Determine a(30).\nAnswer: -330","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 4*r**2 - 44*r + 32. Let h(q) = 3*q**2 - 29*q + 21. Let g(a) = 8*h(a) - 5*l(a). Solve g(j) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) -2\/11 (b) -1\/4 (c) 42 (d) 5 (e) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-4\/7)*y*y)\/(y**(-27)*y))\/((y\/y**(3\/14))\/((y*y*y\/y**(7\/9)*y*y)\/y)))**(23\/3) assuming y is positive.\nAnswer: y**(86549\/378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -6666 < 1\/684?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 139 - -334. What is the highest common divisor of x and 86?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87383 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1086 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1525272563.\nAnswer: 6217, 245339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fsf when three letters picked without replacement from {f: 3, s: 3}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13932 in -0.1, -2\/5, -2\/3, 0, -1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -54 - -49. What is the smallest value in 1, -4, 0, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*p**2 + 18\/7 - 12\/7*p.\nAnswer: 2*(p - 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22 and 132\/5 + (66\/55)\/(-3).\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 88 (b) -0.93 (c) -2\/17 (d) -1.9 (e) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1*15648354\nAnswer: -15648354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62 divided by -4.\nAnswer: -31\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6982394*m**3*z**2 - 575*m**3*z + 10*m*z + 21*m - 2*z + 2 wrt z?\nAnswer: -13964788*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 6 = 5*h. Solve -z - 12 = h*f, z - 2*f - 5 = -1 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k**2 + 23*k - 10. Let j(t) = -t**2 - 8*t + 11. Let n be j(-8). Let m be g(n). Let z(o) = -6*o**2 + 1. Give z(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o + 1. What are the prime factors of r(18)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2682 - -898. Let r = h + 1417.5. What is r rounded to the nearest 10?\nAnswer: -370","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 125*z + 11717974 - 11717974 - 13*z.\nAnswer: 112*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -4563*m**3 + 77454*m**2 + 83040*m + 21600 = 0.\nAnswer: -20\/39, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 6*z - 3*z. Suppose h + 2*m - 1 = 0, h = 5*m - 3 + z. Is (25\/(-15))\/(h\/(-39)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*a*p**2*t - a*p**2 - a*p - 2*a*t + 2894*p**2*t - 1552*t wrt p?\nAnswer: -14*a*t - 2*a + 5788*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 + 5*c + 5. Let f(x) = -x**3 - 18*x**2 - 82*x - 23. Let h be f(-10). Let v(t) = t**2 + 3*t + 3. Determine h*g(k) + 5*v(k).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2*r - 8 = 0, 13 + 1 = 2*f - 5*r. Suppose -2*w - 2 = -f. Calculate the smallest common multiple of 3 and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 88556, 89463, 90368, 91271?\n\"Answer: -t**2 + 910*t + 87647","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -5*q**2 + 81105*q - 5894020 = 0.\nAnswer: 73, 16148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 311 - 313. Let z be (t - 3)*(-2)\/5. Solve 6*g - 28 = g - 4*w, -w = -z for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 491880 or 491669?\nAnswer: 491669","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (100*y**2 - 210*y**2 - 22*y**2)*(29 - 16*y - 29).\nAnswer: 2112*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/271004 and 101\/16?\nAnswer: 1084016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*n + 14*n - 8*n = -1150 for n.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6\/(6\/20*2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 3, 5, 0.408, 109, 2\/11, 23?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/4)\/(810\/(-432))?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 108266 - -3?\nAnswer: 108270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-1))**(4\/19)\/(r\/(r\/r**(-2\/5)*r)*r*r)**(-9))**(-39) assuming r is positive.\nAnswer: r**(-1053\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*d*p**2 + d*p - 5585*d - 317250313*p**2 wrt d?\nAnswer: -7*p**2 + p - 5585","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.46433*7.\nAnswer: -3.25031","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54669 is divided by 54468?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 88455 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26 + 26 - 14*r**2)*(5*r**3 - r**3 - r**3 + (3*r**2 + 0*r**2 - r**2)*(r - 3*r + 3*r)).\nAnswer: -70*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 54, 49, 32, -3, -62, -151, -276?\n\"Answer: -j**3 + 2*j + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 332 + -323 + (-56 - (-3 - -7 - 6)).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of 27*o**4\/4 - 120*o. Suppose 0 = -c - 2*c. Let h(a) = -a**2 - 4*a**2 + c*a**2. What is -33*h(v) - 2*t(v)?\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1304.8 - 1304.7. Which is the nearest to k? (a) -2 (b) -11 (c) -1 (d) 0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -w + 15. Let p = w + 1. Suppose -p*r + 3 = -r - 2*u, 3*r = 2*u + 5. Which is the nearest to r? (a) -2\/11 (b) 2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6213636 and 204.\nAnswer: 6213636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6416?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 + 5*a**2 - 6*a - 12. Let p = -44 + 47. Calculate the remainder when (54 - p) + 0\/(-4) is divided by j(-5).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*y = -4*y + 168 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 18197079?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -233 + 211.1. Let z = -22 - n. Let w(y) = -y**3 - 4*y**2 + 5*y + 1. Let q be w(-5). Is z greater than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1377?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 183 divide 1013820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-6300)\/35280)\/(80\/7)\nAnswer: -1\/64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 4*o + 18, -10*k + o = -7*k - 34. Let p(v) = v**2 + 2*v - 4. Let r be p(-5). Calculate the highest common factor of k and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*q - 4. Let h be q\/(-4)*4\/3. Suppose 5*d = 2*y - 116, h*d - 57 - 175 = -5*y. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7 - -811?\nAnswer: 803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (((-2)\/(-1))\/2)\/(-1). Let n = 0.6 + 0.4. Let q = 0.7 - n. Which is the biggest value? (a) f (b) q (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4947 and 361131.\nAnswer: 361131","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -3 + (-3 - -5) + 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 22, 27, 46, 85, 150, 247, 382?\n\"Answer: p**3 + p**2 - 5*p + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.3, -5, -1\/4, -79 in descending order.\nAnswer: 1.3, -1\/4, -5, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, l: 9, s: 2, w: 1, y: 5}. Give prob of picking 1 u, 1 y, and 1 w.\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 715394?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 4. Let k = 1552\/3 - 532. Let r = k + 14. Does r = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-375)\/(-45))\/(724\/(-10860)).\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of (17 - 86)\/(6\/(-8))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9997413?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 204660 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25103 is divided by 474?\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 6 = 2*r - 30, 4*r = 4*z + 8 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -3148\/87 < -36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/2 + 34923301*k**2\/2 - 69846599*k\/2 + 34923299\/2.\nAnswer: -(k - 34923299)*(k - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4550 and 455?\nAnswer: 4550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 + 2*i - 1. Suppose -145*n = -143*n + r + 3, 0 = -2*r + 6. Let k(g) = g**2 - 3*g. Give n*x(y) - 2*k(y).\nAnswer: y**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of -3*q**4\/4 + 4*q**3 - 6*q**2 + 1. Find n such that y(n) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in d**4\/4 + 927*d**3 - 3713*d**2\/4 - 3708*d + 3709 = 0?\nAnswer: -3709, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -aa409 (base 11) in base 13?\nAnswer: -57c01","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -4*u + 8*u - 19, -3*u + 13 = -a. Let q be a - (60\/(-14) + (-26)\/(-91)). Let z = -22\/7 + q. What is the nearest to -0.1 in 4, z, -3\/10?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21 + -15. Suppose 0 = w - 2*w - 2. Let u = t + w. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(((f*f\/(f*f*f**(3\/4)))\/f*f)\/f)*f**(6\/7))**(-21) assuming f is positive.\nAnswer: f**(-303\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.07*-0.33.\nAnswer: 0.0231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -101 (base 2) to base 14\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -25.19? (a) 1.59 (b) 3 (c) 3\/5 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of 13*x**4\/3 - 256*x**3\/3 - 40*x**2 - 2*x + 7. Factor w(p).\nAnswer: 4*(p - 10)*(13*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 87711*-1\nAnswer: -87711","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40344*c + 40347*c - 71697 = 0. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -93132 (base 10) to base 16.\nAnswer: -16bcc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17.267 bigger than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 178 = -128. Let t = f + -78. Suppose 5*c + 4*w - t + 14 = 0, -57 = -4*c + 5*w. List the prime factors of c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 173229027.3 seconds?\nAnswer: 286.42365625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1469*o**4 - 15966*o**3 - 231484542*o**2.\nAnswer: 35256*o - 95796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 49203488 a multiple of 1073?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d + 4*d + 20 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 + 24*n**2 + 25*n + 15. Give w(25).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 divided by -117641.\nAnswer: -31\/117641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwh when three letters picked without replacement from wwhw.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 PM and 4:32 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2936730611?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 186*v**3 + 4*v**2 + 28*v - 94. List the prime factors of z(5).\nAnswer: 2, 5849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28.972 + -0.028. Let x = g - -20. Let p = x + 8.6. Which is the third smallest value? (a) -2 (b) -3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 225\/18 + 3 + 183\/(-34)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -558*c - 57*c + 2603 + 26917 for c.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*p - 27 - 5*p**5 + 27 wrt p.\nAnswer: -100*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 + -29152449520379\nAnswer: -29152449520379.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 - m - 1. Let s(x) = -6*x**3 + 72*x**2 - 189*x + 66. Let i(d) = -s(d) + 9*z(d). Suppose i(u) = 0. What is u?\nAnswer: 1\/2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssssbessbsssbbsbbs. Give prob of sequence ses.\nAnswer: 55\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -146620 rounded to the nearest one thousand?\nAnswer: -147000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -6*b**2 - 46*b + 19. Let p(h) = -h**2 - 9*h + 4. Let n(j) = -2*k(j) + 11*p(j). Suppose 3*z + 33 = 3*c, -c + 7*z = 2*z - 31. Calculate n(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7839823 + 5551.\nAnswer: -7834272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1001, -979, -955, -941, -949, -991, -1079, -1225?\n\"Answer: -2*d**3 + 13*d**2 - 3*d - 1009","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, u: 1, y: 2, x: 1, i: 1, c: 1}. What is prob of sequence xuy?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14.048272 - -88.953058. Let s = l + -103. What is s rounded to 4 decimal places?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168893 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4495 - -4655. Calculate the least common multiple of 224 and q.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3744\/(-40))\/((-3)\/10). Suppose -q = -g + 6*g - v, -66 = -g - 2*q. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 + 14*s**2 - 23*s - 9. Let g be u(12). Suppose g*p + 7 = 3*j + 31, 4 = -2*j. Solve -2*t + 4*t = -p for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 38*n - 97. Let g be h(12). Let v = -1075\/3 + g. Factor -v*y**2 - 8\/3 - 10\/3*y.\nAnswer: -2*(y + 1)*(y + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 842790 is divided by 688?\nAnswer: 678","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 34 + -30. Let s = 0.34 - 0.04. Let y = 0.2 - s. Which is the third biggest value? (a) -3\/5 (b) y (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143)*2*1)\/(sqrt(297)\/sqrt(3)))**2 - (4 + 4*((2 + sqrt(117) - sqrt(13)) + sqrt(13))**2).\nAnswer: -4340\/9 - 48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1244 is divided by 279.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6006, 6004, 6002?\nAnswer: 6000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 904082.1 weeks in days?\nAnswer: 6328574.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 745747.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 16*g - g)*(0 - 3 + 1).\nAnswer: -28*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -3*v + 3. Let l be (3\/(-6))\/(-1)*0. Suppose l = 5*d + 106 + 4. Let m(y) = -16*y + 16. Calculate d*g(w) + 4*m(w).\nAnswer: 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 16*a = -20*a + 145252, 3*a = 4*u - 145308. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of -6 + 0*k - 10*k**2 + k**5 + 0*k**3 + 15\/4*k**4. Suppose n(u) = 0. Calculate u.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/(f*f**14)))\/(f**(-33)\/f))\/(f*(f*f**(-16))\/f)**(-21) assuming f is positive.\nAnswer: f**(-266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7819 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/203, -2, 2, -8 in decreasing order.\nAnswer: 2, 6\/203, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of -v**5\/20 - 19*v**4\/12 + 4*v**3 - 590*v**2 - 6978*v. Differentiate o(r) with respect to r.\nAnswer: -3*r**2 - 38*r + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*l - l + 26*l)*(-100 + 0*l + 75 + 2*l)*(-l + 9*l - l)*(-3 - 1 + 6) to the form u*l + h*l**3 + y + j*l**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19 + 19.5. What is the closest to 1 in b, 0, -0.5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from npqqbbnppqqqn. Give prob of picking 2 b and 2 q.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 2. Suppose 10 = t*n - 0. Suppose m = -3*m - n*x + 10, 28 = 4*m - 4*x. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x**3 - 24*x**2 - x - 6. Let w be i(-12). Let p be 2\/w*(-24)\/(-36). What is the closest to 0.1 in 3, p, -5, -2\/53?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-4\/13)\/k)**(-7\/2))**(-1\/35) assuming k is positive.\nAnswer: k**(-17\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -75 + -3159?\nAnswer: -3234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-16)\/14*(9\/2 + -8). Suppose 5*j = -11*x + 16*x - 35, 44 = -2*j - l*x. Let s(y) = y**2 + 11*y - 14. What is s(j)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 + 5*a + 3. Let b be n(5). Solve 0 = l - 7 + b for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26859 - -26871. Let t(a) = -a**2 + 7*a. Let p be t(7). Suppose -8*f + 3*f + 300 = p. What is the greatest common divisor of f and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 279 (b) -10 (c) 0.01 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (-2 - (-6 - -3))) + -5?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 469?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 AM and 1:18 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -678*y**3 + y**4 + 20 + 1504*y**3 - 2*y - 2*y**2 - 828*y**3 + 8 in the form x*y**3 + p*y**2 + k + i*y**4 + j*y and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 39*j**2*t**3 - 4*j**2*t + 64*j*t + 2*t**3 wrt j.\nAnswer: 78*t**3 - 8*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*a, 2*a = 10*k - 15*k + 11. Let s(j) = -16*j**2 - j + 1. Determine s(k).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3310110244?\nAnswer: 2, 7, 43, 179, 15359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-26)\/(-364) - (-36)\/(-14))*4. Let i(c) = -c**2 - 11*c - 16. Give i(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87591.6 centimeters in meters?\nAnswer: 875.916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h**4\/4 + 9*h**3\/2 - 33*h**2\/4 + 9*h\/2 = 0.\nAnswer: 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 AM and 5:20 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 9*j**2 + 2*j + 7. Let i(z) = -4*z**2 - z - 3. Suppose 5*l - 21 = 14. What is l*i(k) + 3*u(k)?\nAnswer: -k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3486 - 2*m**2 - m**2 + 6*m**2 - 3486.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from synssssnsyyssssyssy. Give prob of sequence nys.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 3*n = -0 + 12, -n = -4*q + 22. Let g(w) = 14*w + 6. What is the remainder when g(q) is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5 + 2 + -6)\/(2\/118). Let r = 59 - b. Let c = 193 - 2508\/13. Which is smaller: c or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 68*q**2 - 505*q + 55. Give t(8).\nAnswer: 367","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -241.67 rounded to zero dps?\nAnswer: -242","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 238 + -239.29. Let m = 1.898 + 8.412. Let o = m - c. Round o to 0 decimal places.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -374? (a) 4 (b) -0.1 (c) 2\/11 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, q: 9, r: 2, k: 7}. What is prob of sequence qrqz?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b = 6*b - 26. Suppose 0 = 2*d - b*z - 56, 5*d + 5*z = 9*d - 109. Calculate the least common multiple of 9 and d.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2192.\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 2.39. Let b = d - 1.61. Let p = 29 + -35. Sort 0.2, b, p in increasing order.\nAnswer: p, b, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 118038 and 48204.\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*c**4 + 18923*c**2 - 18923*c**2 + 3 - 3*c**3 to w + l*c**4 + j*c**2 + o*c**3 + z*c and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 232084?\nAnswer: 2, 17, 3413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 402?\nAnswer: 3216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*1\/8*72*(5\/(-24))\/(-5)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5168*f**2 - 6*f - 172984 wrt f?\nAnswer: 10336*f - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45)\/18*((-96)\/20)\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16 - -62. Let i(g) = -g**2 - 95*g + 1136. Let p be i(10). Let t = p - a. Do 39 and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -555006650 times -5\nAnswer: 2775033250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -763001 divided by 9.\nAnswer: -763001\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -12*t + 561. What is the remainder when t is divided by ((-12)\/2)\/((-6)\/9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11390.\nAnswer: 2, 5, 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -681 - -687. Let y(t) = -35*t + 279. Let w be y(m). Calculate the greatest common factor of w and 115.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*o = 47*o + 20. Let q = -15 - -39. Suppose 3*x - q = -0*x. Solve -3*d + 17 = o*t, -3*d + 21 = -x*d + 4*t for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2085 and -56737?\nAnswer: 54652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nqq when three letters picked without replacement from {n: 6, q: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m + 3*m**2 + 11*m + 7*m - 3*m.\nAnswer: 3*m*(m + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*r - 62388 = -64116 for r.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 906909 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 4*y - 31, 3*f = 5*y - 48 + 13. Suppose -u = 3*t - 655, u + y*u = 3*t + 3347. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 3*l - 4. Suppose -y = y + 14. Let v(o) = 2*o - 2. Let j be v(3). Let x = y + j. Calculate s(x).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vcv when three letters picked without replacement from ccccsvcvccvcccc.\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 3*y**2 + 15*y. Let a(b) = 3*b. Determine a(j(g)).\nAnswer: 9*g**2 + 45*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - 2*t + 360, -3*g = -6*g + 5*t + 270. Let h = 5 - g. Let b = 122 + h. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 AM and 12:49 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + -4 + 14 - -4) + (12 - 1).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.539 and -26.\nAnswer: 14.014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -142.\nAnswer: -1\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = o + 22, f + 30 = 27815*o - 27820*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = -3*q - q. Let m = q + -20. Solve m*i - 1 = 3*h - 4, 0 = 5*i - 2*h + 7 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eexxeevvxvexxxeve. Give prob of sequence vexe.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 987956 and 93127?\nAnswer: 4049","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6590802.3 rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 25603167881 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 82 - 56. Let b = 28 - n. Solve 3 - b = m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5406021?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 178176 and 75168?\nAnswer: 4810752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -983408 less than -983411?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 1. Let o(m) = -2*m - 14. Let t(z) = -z. Let q(l) = -o(l) + 4*t(l). Determine 28*d(r) - 2*q(r).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -4. Suppose -5*f - 4*m + u + 5 = 0, 5*m - 5 = -5*f. Suppose -1 = -2*t + 1, 5*s + 24 = -t. Sort 6, s, f in ascending order.\nAnswer: s, f, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a97 (base 15) to base 12\nAnswer: -1474","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.30255 rounded to two dps?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/n**(-1))*n)**(-26))**(-34) assuming n is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 67? (a) 3 (b) -21 (c) -9 (d) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 353959840 is divided by 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d + 3. Let a be u(-5). Let m(j) be the first derivative of -j**3\/3 - 9*j**2\/2 + 7*j - 2. Is m(a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 134840 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 49 - 5. Suppose 0 = 11*g - 58 - 63. What is the highest common divisor of g and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11827 to the power of 1\/2, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -j**4 - 167115890*j**3 + 2730*j**2 + 28819*j - 2?\nAnswer: -24*j - 1002695340","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 40005644?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5623 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/2, 32, 3 in descending order.\nAnswer: 32, 3, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4312?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -1206*s - 3103. What is the hundreds digit of b(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 361 by 1068.\nAnswer: 361\/1068","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4722285?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 4) + (-100 + 15 - -107).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -16, 16, -1\/8, -5, -0.3?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1239 - 249 - 1126 = 156*b - 430 for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25*k**2*p**3 + 3*k**2*p - 2*k*p**3 - 12*k*p**2 + 3*p wrt k.\nAnswer: 50*p**3 + 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1016, 2600, 5158, 8624, 12932, 18016, 23810?\nAnswer: 30248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 3\/136?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 135.1 to the nearest 10.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 51.9, 3\/11, 1.\nAnswer: 3\/11, 1, 51.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 4*i**2 + 33*i + 40. Let d(l) = -l**2 - 8*l - 10. Let n(t) = -9*d(t) - 2*u(t). Let r be n(-5). Solve -7*m = -2*m, 0 = x + r*m + 3 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of 33*w**8\/112 + 5*w**5\/6 - 21*w**2. Find the third derivative of p(b) wrt b.\nAnswer: 5940*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - 10 - 9 - -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 41 = -3*z - 0*z, t - 2 = 0. Suppose -10*d - z*d = -714. List the prime factors of d.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 less than -738?\nAnswer: -738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 + i**2 - 1. Let t = -2 + 3. Let w(p) = -p**4 + 5*p**3 - 5*p**2 + 9. Let n(z) = t*w(z) + 5*b(z). What is the derivative of n(x) wrt x?\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -236 (base 7) to base 6.\nAnswer: -325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21479 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - 0 - (0 + -31)) + -10.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-144)\/8*(-2)\/(-3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 12:37 AM?\nAnswer: 11:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/888 and -7\/30000.\nAnswer: 1110000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 6 = 5*k - 20, 3*a - 3*k = 0. Let j be -1 + (-1 - a) + 9. Sort j, 0, 4 in increasing order.\nAnswer: 0, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/4))**(-11)*(t**8*t)\/(t**(4\/9)\/t) assuming t is positive.\nAnswer: t**(443\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*f - 38*f - 217*f - 12*f to the form v + a*f and give a.\nAnswer: -254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 AM and 1:30 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 42 - -15. Is 32 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 - 5*r**2 + 5*r - 2. Determine v(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of -p**6\/24 - p**5\/12 - p**4\/12 - p**3\/3 - 2*p**2. Let z = 2 - 8. Let g be m(z). What is g rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*b - 4*k - 2, 2*b - 5*k = -2. Suppose 21*i - 18*i = 63. Suppose -5*o = -12*o + i. What is the closest to b in 2\/5, -0.4, o?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(1053) + -1)**2 - (sqrt(13) + 4*(1 + sqrt(13)))) - ((4*-2*sqrt(52))\/sqrt(4) + 1).\nAnswer: -15*sqrt(13) + 1049","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of -129*c**5\/10 - 25*c**4\/2 + c**3\/3 + 8*c - 16. What is the third derivative of h(n) wrt n?\nAnswer: -1548","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 309.444 to the nearest 10.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*q = -9*q - 72*q + 1932 for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -3 + 3*d - 2 - 2*d. Let p be u(9). Suppose -p*r + 26 + 214 = 0. List the prime factors of r.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 355*u**2 - 6*u - 3*u - 20 + 10 + 8 + 369*u**2 as d*u + a*u**2 + w and give d.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 299019, -5, 2, 0, -3.\nAnswer: -5, -3, 0, 2, 20, 299019","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -15 - -11 - (-50)\/14. Let f = -1188\/7 - -170. Let p = 1.4 - 1.5. Which is the closest to p? (a) w (b) f (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 66161 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2))**(-31))**(-2) assuming z is positive.\nAnswer: z**(-124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, -1, 28\/1061, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/5 + (-338)\/(-20) + -21?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/8806 and -123\/96866.\nAnswer: 96866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3184 divided by -16.\nAnswer: -199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -11575 divided by 25?\nAnswer: -463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -313364*a**3 - 210595*a**3 + 119899*a**3 - 57467*a**3.\nAnswer: -461527*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 5.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 AM and 3:35 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9007\/287 or -32?\nAnswer: -9007\/287","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -103, -87, -79, -85, -111, -163, -247, -369?\nAnswer: -535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-56)\/49)\/(308\/98).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 - 17*k - 13. Let r be i(-16). Suppose -5*d = -r*d - 4. Let h be 1 + 3\/(d + -1). Solve -3 = -h*x + 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 4 (b) 0 (c) -5 (d) -2\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 3*y - 288 = 75, 0 = -3*c - 3*y + 492. Solve -f + 12 = 3*g, 5*f + c*g - 167*g - 5 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13026923581 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 + -14. Let r = -42 - -167\/4. What is the closest to r in 5, m, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*k**2*p*u**2 - 4*k**2*p*u + 241*k**2*u**2 + 2*k*p**2*u + p**2*u**2 + 137*p**2 wrt u?\nAnswer: 10*k**2*p + 482*k**2 + 2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.751871 less than 6060857?\nAnswer: 6060853.248129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 50.8 + -52.8. Let d = 151 + -2267\/15. Which is the nearest to t? (a) 9\/5 (b) -4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a micrometer in nanometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 59*z**3 + 321*z**2 + 351*z - 200. Let r(n) = -29*n**3 - 161*n**2 - 176*n + 100. Let w(v) = 4*a(v) + 9*r(v). What is g in w(g) = 0?\nAnswer: -5, -2, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -307 = -5*g + p, -15*p + 11*p + 53 = g. What are the prime factors of g?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 - 13. Let n be (-10)\/3*3\/k. Let z(m) = -m**3 - 11*m**2 - 13*m - 15. Does 3 divide z(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 30\/(-7) + 4\/14. Let d be (-3 - -1 - t)\/2. Let x = 3 + -6. Sort -5, x, d.\nAnswer: -5, x, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2701.\nAnswer: 37, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, b: 5, v: 5}. Give prob of sequence vbbv.\nAnswer: 5\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1925?\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1262 is divided by 612.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 5, 20, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 214875?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2296720*d + 7 - 12 - 122*d**2 + 5 - 2296720*d.\nAnswer: -122*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z**3 + 489 + 62*z**2 + z - 4*z**2 - 490 + (-z**2 + 5*z**2 - 2*z**2)*(z + 2*z - 2*z).\nAnswer: -z**3 + 58*z**2 + z - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/(-6))\/((-367)\/(-734)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 10:58 AM?\nAnswer: 5:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -l + 3*b, -b = -l - 2*b + 5. Calculate the remainder when 81 is divided by l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-13)\/2*-2 - -2. Suppose 5 = a - 45. Suppose -6*w - a = -140. What is the greatest common divisor of w and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -31 + 27 - -3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -2*g - 2, 3*g + 0 = -5*j - 3. Let h be 42\/(-1)*(j + (-12)\/14). Suppose 2*b = -3*q + h, -3*q + 2*b = -2*q - 4. Does 3 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*13\/39*7\/1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from ppffxdfvf?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 5*k = 25, -3*v + 7*v + 15 = -3*k. Suppose v*n + 75 = 2*g - n, 5 = n. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (30*1)\/(3 - (-6)\/(-6)). Let m = o - -170. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 183197063?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/(3\/134)*(-6)\/4 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 18 - 81?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 707489\/11 + -64291. Solve l + 2\/11*z**2 + 48\/11*z = 0 for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -18, -68, -154, -276, -434, -628, -858?\n\"Answer: -18*k**2 + 4*k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 + 6*c + 17. Let b be h(-3). Solve -4*a + 16 = 4*l, -3*l = 2*a - 0*l - b for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one quarter of a day?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o. Let x(h) = 468*h. Let k(r) = 155*r. Suppose -553*w + 558*w = 25. Let v(j) = w*x(j) - 14*k(j). Calculate q(v(g)).\nAnswer: -340*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ncu when three letters picked without replacement from nnncccnccuu.\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/((-705)\/376) - 44.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 235412, 470747, 706082?\nAnswer: 941417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 2*p - 17 = -20, 2*u = -4*p - 2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55 - 46*o - 29 - 26.\nAnswer: -46*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1818919 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16093 - 16023.089. Let v = -70 + x. Round v to 2 decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 159.26, 3\/4, 3, 1\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 - 106*s**2 + 623*s - 1. Calculate b(7).\nAnswer: -1177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 - 22*i**2 - 6. Let k be o(-22). Calculate the remainder when 48 is divided by -5*18\/k + -2.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - n - 729 = -4*n, -2*q + 461 = -3*n. What is the highest common divisor of q and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127 is divided by 15.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13 and 8502.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of n**9\/12096 - n**7\/3360 + n**3\/3 - 2*n. Let t(c) be the second derivative of l(c). Let t(x) = 0. Calculate x.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 719, 1422, 2117, 2804, 3483, 4154, 4817?\nAnswer: 5472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (920\/15)\/(1\/6).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = c - 300. Does 20 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 4*m**3 - 3*m**2 + 3. Let w(u) = u**3 - 8*u**2 + 10*u - 15. Let r be w(7). Suppose -2 = r*x - 20. What is the remainder when n(x) is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/12 + (-32)\/(-12). Let y = c - -26. Let b = -12 + y. Does 8 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 6 + 18. Let m = 7 - z. Calculate the common denominator of (m\/6)\/((-16)\/150) and -17\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.4 + 0.2. Let x = -0.3 + b. Let f = 156833.4 - 156834. What is the nearest to f in 3, x, -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h**3 + 55*h**2 + 474*h - 60. Let q be g(-7). Factor -3\/2 - 1\/2*t**2 + 5\/2*t - 1\/2*t**q.\nAnswer: -(t - 1)**2*(t + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -37745320255 and 4.\nAnswer: -37745320251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-12))**(1\/35) assuming v is positive.\nAnswer: v**(-12\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**4\/7 - 6*c**3\/7 - 32*c**2\/7 - 24*c\/7 = 0. Calculate c.\nAnswer: -2, -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - -3. Suppose 2*g = -p - 0*p + 61, -4*g + s*p + 87 = 0. What are the prime factors of g?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 4*j + 5. Let l be u(-2). Let d be l - (1 - (0 + -39)). Let z = d + 91. Is z a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 486.478 tonnes?\nAnswer: 486478000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 t when two letters picked without replacement from izsqt.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1692 and 1316?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sju when three letters picked without replacement from {s: 1, j: 3, u: 3, p: 5}?\nAnswer: 3\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from djjjjdjjjjj?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -370.8555606 to the nearest 10.\nAnswer: -370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o - 4. Let s be g(6). Suppose 0 = -4*c + s*c. Suppose c*w + 120 = 4*w. What is the highest common divisor of 75 and w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23268 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 + 1. Let y = c + 10. Let a = 1 + -1.5. Sort a, -1, y in ascending order.\nAnswer: -1, a, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*44.3\nAnswer: -88.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -3. Suppose -4*s + 87 = -i, -112 = -8*s + 4*s - 4*i. Suppose -o*b + 0*b - 5*y + s = 0, -3*y + 10 = b. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + 8 - (3 - -4)) + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*z + 579 = 633 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -26*h**2 + 18*h**2 - 3*h + 9*h + 8 + h**3. Give m(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, -18\/11, -3\/5, -12, -2047?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 468.999503 - 469. Round a to 5 dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4596 - 4344 = -39*r + 7*m, 5*m = -r + 180 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-6)\/(-9))\/((-2)\/(-1191)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30403, 1, -2\/7 in ascending order.\nAnswer: -2\/7, 1, 30403","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 47 - 47.3. What is the nearest to h in -0.5, 2\/11, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n and 1 q when four letters picked without replacement from {a: 2, q: 3, r: 5, n: 3}.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -63 + 18. Suppose a*i - 6*i = 1026. Is i a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 2*n + o, 36668*n - 5*o - 30 = 36673*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-9 + 31)*(-10)\/(-8) and 10\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -77, -48, 13, 118, 279, 508?\nAnswer: 817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5913, 5738, 5563?\n\"Answer: -175*u + 6088","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1334, 2657, 3980, 5303?\n\"Answer: 1323*m + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.229 + 34.571. Let z = y + -32. Let m = z + -2.8. Which is the closest to 0? (a) -1 (b) -1\/2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q**3 - 1200*q**2 - 5*q + 1200 = 0. Calculate q.\nAnswer: -1, 1, 240","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of 19*h**2\/2 - 4*h + 20. Let t be f(3). Suppose a + 49 = -w - 3*w, -4*a = 3*w + t. What is the closest to 1\/4 in -3, w, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**4\/5 - 18*n**3\/5 - 49*n**2\/5 + 288*n\/5 - 44 = 0 for n.\nAnswer: -11, -10, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 9:16 AM?\nAnswer: 3:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -246408.0296 rounded to the nearest one hundred?\nAnswer: -246400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47, -89, -131, -173, -215?\nAnswer: -257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of 9*i**4\/4 + 2*i. Let u(a) = a**2 - 27*a - 6. Let f(x) = 8*x**2 - 207*x - 46. Let l(y) = -3*f(y) + 23*u(y). What is b(l(n))?\nAnswer: 27*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-34)\/4 - -9)*-4)\/(29\/(145 + -29))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 194?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1031967 and 56943.\nAnswer: 999","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -317 + 108. Let g = -205 - t. Solve -2*r - 4 = g for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/4 + 2\/(-4). Let j be 84\/22 - (-4)\/22. Suppose d + 3*d + 5*v = -35, j*d + 2*v + 26 = 0. Which is the nearest to 0.1? (a) 0.4 (b) r (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (31\/(-62))\/((-11)\/2).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3925 is divided by 486.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 19148290 bigger than 19148292?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**3\/11 - 4*g**2\/11 + 8*g\/11 + 16\/11.\nAnswer: -2*(g - 2)*(g + 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -7692*g - 2650. Let d be s(-5). Round d to the nearest one thousand.\nAnswer: 36000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 798 and 228.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/(f*(f**(1\/4)*f)\/f))*f*f\/(f\/f**(-5\/4))*f)\/(f**1*f*f)**47)\/((f*f\/(f*(f*f**5)\/f))\/f**(1\/3)*(f\/(f*f**(-2\/3)))**34) assuming f is positive.\nAnswer: f**(-472\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*q**4 + 2 + 3*q - 4*q - q**3 + 9*q - 5*q + q**2 to c*q**4 + z*q**3 + k + h*q + r*q**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25910 divided by -184.\nAnswer: 12955\/92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2985*l**2 + 206*l - 10. Let c(h) = 1493*h**2 + 102*h - 5. Let j(a) = -9*c(a) + 4*i(a). Find the second derivative of j(p) wrt p.\nAnswer: -2994","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -130242053 - 4?\nAnswer: -130242060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 476 = 2*n - 3*u, -11*u - 466 = -2*n - 13*u. Calculate the remainder when n is divided by 58.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151 is divided by 32.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1846*y = -1878*y + 192 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(2 - ((-2212)\/(-442) - 3)). Round f to the nearest ten.\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7 + -17 + ((-852)\/42)\/(-2). What is the second biggest value in -2\/5, -33, 2\/51, k?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*m = 100*m - 5*b + 27, 102 = -14*m + b for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 1)\/3*4*46590\/12424?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is g in -25*g**5 + 360*g**4 - 1565*g**3 + 1470*g**2 + 2340*g - 1080 = 0?\nAnswer: -1, 2\/5, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 j when two letters picked without replacement from {j: 7, n: 3}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-56)*-7*2\/2\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 145, 328, 583, 946, 1453?\n\"Answer: 6*v**3 + 141*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrt. Give prob of sequence rrt.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7351 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-348)\/462753*(-3)\/2. Is b > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -46d016 + 0?\nAnswer: -46d016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iowyboyf. Give prob of sequence ow.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 5*z + 40. Let h be f(3). Solve 8*a - h = -3*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*x**4 - 9*x**4 - 3*x**4 + 2*x**2 wrt x.\nAnswer: -288*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20418048 to the power of 1\/2, to the nearest integer?\nAnswer: 4519","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -399*d - 1896*d = 425*d - 375*d + 75040 for d.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of 0*d + 0*d**3 + 1\/8*d**4 + 1\/2*d**2 - 5. Let i(q) be the second derivative of f(q). Let w(v) = -3*v**2. Give w(i(u)).\nAnswer: -27*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -3*p - 3. Let x be u(-5). Let k be (1 - 2)\/((-3)\/x). Suppose -k = -4*m + 184. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2414\/13 or 187?\nAnswer: 187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -507 or -604?\nAnswer: -604","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 254358720 to the nearest integer?\nAnswer: 15949","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16316?\nAnswer: 2, 4079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -5*r - 9, -4*z + z + 27 = -3*r. Suppose 0 = -5*i - 2*n + 51, 2*i - 2*n + 3 = 29. Let a = i + -6. What is the smallest value in -1, a, z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 + 14*x**2 + 6*x - 20. What are the prime factors of y(-5)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 15*y**4\/2 + 216*y**3 - 750*y**2 + 576*y = 0.\nAnswer: -32, 0, 6\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30689 + -30660. Solve -164 + 19 = x*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4199 and 4989296?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*j*n**3*r**2 + 1337*j*n**3 - 7*j*n**2*r**2 - 128*j*n + 13462*r**2 + r wrt r?\nAnswer: -12*j*n**3 - 14*j*n**2 + 26924","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 121566*j**6 + 46*j**2 - 236*j.\nAnswer: 14587920*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -111292 - 10.5\nAnswer: -111302.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141908 is divided by 1066.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/6*(87 + 6) + 0. Suppose 23*p + 176 = j*p. Is 2 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, -1, 324 in decreasing order.\nAnswer: 324, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = 3*g - 19, -45*y + 42*y - 23*g = -63 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 429482613?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 1 - 4. Suppose 9 = 3*k - 3. Suppose -k*y = -0*y. Sort y, u, -1 in descending order.\nAnswer: u, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from zzzocozocontoccozcc?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 280731 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1942 - -2023. Calculate the highest common factor of j and 603.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -990 + 2*r**2 + 990.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 - 9*s**2 + 9*s + 10. Is 6 a factor of k(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -137 + 139. Suppose -2*l + 46 + 54 = y*w, 3*l - 152 = -5*w. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = 3*t. Sort 1, -2, t in descending order.\nAnswer: 1, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1\/5, 1.574, -0.6, -1123?\nAnswer: 1.574","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2168351609 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 3*a**2 + 9*a + 5. Let k be y(-3). Solve 12 = -3*j + k*x, 3*x = -0*j + 2*j + 8 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 3 + 2)*(0*h**3 + 0*h**3 - h**3) - 17 - 71*h**2 + 51*h**2 + 23*h**2 + 14*h + h**3.\nAnswer: 2*h**3 + 3*h**2 + 14*h - 17","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -35.9999865 - -36. What is k rounded to 6 decimal places?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -203 - 195 + 599 - 201 - 5*v. Let q(g) = 2197*g. Give o(q(c)).\nAnswer: -10985*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + -5)*752908\/(-186). Let z = -24293 + s. Let r = z - -3075\/682. Find the common denominator of r and -39\/14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 1.8, 0, -2, -1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/(h*h**0\/h*h)*h)**(-13)\/(h**(-1\/8)*h\/((h\/(((h**(-3\/4)*h)\/h)\/h))\/h)*h)*(h**(6\/11)*h*h*h**(1\/10))**(-29) assuming h is positive.\nAnswer: h**(-45251\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -53732*z**2 + 53728*z**2 + 10*z**3 + 108*z**3 + 0 + z**3 + 0 + (2*z**2 + 2 - 2)*(-2*z + 2*z + 2*z).\nAnswer: 123*z**3 - 4*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*(j\/(j*j**1))\/j*j*j)\/(j\/(j**(-1)*j)))**(-48)*(j\/j**0*j*j**(7\/3))**49 assuming j is positive.\nAnswer: j**(637\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 233*q - 478*q + 232*q - q**2 + 14 + 2*q**2. Give p(10).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-14)\/10 + 16\/40. Let s be (-3)\/k - 2*-3. What are the prime factors of ((-12)\/s)\/(2\/(-24))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n**2\/3 + 3676*n\/3 - 177190\/3 = 0. Calculate n.\nAnswer: -1885, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.427 - 0.165. What is t rounded to one decimal place?\nAnswer: 3.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, q: 3, t: 6, h: 3}. What is prob of picking 2 q, 1 h, and 1 c?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -57\/17, 3\/2, 4, 1, 3\/5 in increasing order.\nAnswer: -57\/17, 3\/5, 1, 3\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 785.4774g to tonnes.\nAnswer: 0.0007854774","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1874 or -139?\nAnswer: -139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 290, 3170, 10992, 26228, 51350?\n\"Answer: 412*h**3 - h**2 - h - 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -82 and 3589?\nAnswer: 3671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-34)\/(-8) + (-7)\/28. Suppose -y - 2*y - 6 = -f*u, 4*y = -5*u + 23. Suppose -u*s - 7 = -19. Is 4 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*2*(13 - 11). Suppose 0 = 2*k - 4, -3*v - k + 2*k = -w. Is 7 equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 4*n + 5*n = 76, -5*n = -z + 46. Suppose -2*k - 5*w + 18 = k, 6 = -2*w. What is the remainder when (-1 - z)\/(-4) + 7 + -4 is divided by k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 - 44 = -3*t. Suppose -4*c + 195*g = 199*g - 900, 4*c - 5*g - 819 = 0. Calculate the greatest common factor of c and t.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + c - 1)*(-22 - 1 - 17)*(510 - 510 + 71*c)*(-3 - 2 + 4) to the form x + t*c**2 + j*c and give t.\nAnswer: 2840","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*a - 16*a = -10150. Suppose -286*u = -a*u + 2496. Is 56 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 189*k = 194*k, 0 = -4*h - 5*k - 27 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5105407?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 905.823l in millilitres?\nAnswer: 905823","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 65523 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -34*x**3 - 13*x**2 - 19*x + 11. Let r(c) = 17*c**3 + 7*c**2 + 10*c - 6. Determine 6*o(l) + 11*r(l).\nAnswer: -17*l**3 - l**2 - 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + (27993 + -2 - -1). Suppose -3*b = c - 237005, -2*c + n = -2*b + 185984. What is b rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -5*o + 20, 8*o - 2*z = 5*o + 10. Suppose -43*a + 469 + 950 = o. List the prime factors of a.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12\/(-15))\/((-2)\/220) + -5. Let m = s - -1198. List the prime factors of m.\nAnswer: 3, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 65*k**3 - 25*k**2 - 25. Let l = -181 - -185. Let p(y) = -412*y**2 + 4*y**3 + 203*y**2 + 206*y**2 + l*y**3 - 3. Give 25*p(i) - 3*r(i).\nAnswer: 5*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/137 in -1, -2\/7, -43.2, 1\/7, 0.2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to 2202?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -31763424 less than or equal to -285870829\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25324.\nAnswer: 2, 13, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l - 1 + 1)*((-4 - 1 + 3)*(-1 + 1 - 2) + 0 + 5 + 16 + 3 + 4 - 11).\nAnswer: 84*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w + 3. Let p be t(3). Let y = p + -10. Which is the closest to -1? (a) -2\/19 (b) y (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*u + 3180 = -175*u for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19048 by 4762.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -10*x**2 + 4120*x - 5. Let p(z) = -26*z**2 + 12362*z - 14. Give 3*p(m) - 8*w(m).\nAnswer: 2*m**2 + 4126*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -8279618*n + 16559236. Give f(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2001100 (base 3) in base 15?\nAnswer: 699","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 - -12. Suppose -6*r + j*r = m - 6, -38 = -2*m + 5*r. Calculate the highest common factor of 14 and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 PM and 4:27 AM?\nAnswer: 333","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 488 + 518 = 0. Solve 0*u - 3*u = g for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - (1 + -4 + 0). Let a be f\/7 + (-38)\/(-14). Solve -a*l - 12 = -0*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.05 + 0.45. Let w = 0.6 - r. What is the nearest to w in -0.1, 5\/3, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 - 13. Suppose -270 = -j*l + 105. Calculate the common denominator of 43\/22 and (14\/(-12))\/((-30)\/l).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.59 + -0.6. Let i = 3.01 + u. What is the third smallest value in i, -0.1, -3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/3 and 83\/26?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 216 and 22.\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of 0 + 1\/12*r**4 + r + 0*r**3 + 0*r**2. Let k(t) be the first derivative of -t**2 - 582. Determine u(k(l)).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -562, -1203, -1844?\n\"Answer: -641*t + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/9, -4\/163, 1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 44 = -4*j, -2*l + j = 3*j - 16. Let r(v) = -2*v**2 - 33*v - 41. Let g be r(-15). Solve g*q + l = q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*o - 176 = 61*o. Let w = 93 + o. Solve -w*g = -10*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -7 - 5. Suppose 5*y + l = y. What is the units digit of 3 - (-1 + y + 4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -36734*p**3 + 5*p**2 + p. Let j be b(-7). Round j to the nearest one million.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 29 = 25. What is the greatest common factor of i and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3390 and 3616.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1149063, -2298048, -3447025, -4595994, -5744955, -6893908?\nAnswer: -8042853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of 5*k**8\/336 - 4*k**7\/21 + 25*k**6\/24 - 19*k**5\/6 + 35*k**4\/6 - 20*k**3\/3 - k**2 - 110*k. Let x(o) = 0. What is o?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 3*b**2 - 13*b + 6. Let a be m(9). Let d = a + -65. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 43 = 28. Let b = k - -69. Let d(o) = -5*o - 1. Let p be d(-3). What is the highest common divisor of b and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6.2 - -1.8. Let n = 8.95 - f. Let w = 0.05 + n. Are w and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -251*h + 2. Let o(p) = 38*p. What is o(s(d))?\nAnswer: -9538*d + 76","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 416629967 to the power of 1\/6, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12002 (base 6) to base 16.\nAnswer: 6c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.012092 * -7\nAnswer: 0.084644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of -11*u**4\/4 - u**2\/2 - u + 7. Let d(y) = -89*y + 1067. Let o be d(12). Determine a(o).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 423628*d**2*l - 12443*d - 3*l wrt d.\nAnswer: 847256*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 52.7514\nAnswer: -211.0056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 4*m. Let r(c) = -71*c + 38. What is q(r(b))?\nAnswer: -284*b + 152","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/3 + (-12)\/(-18). Suppose -6 = -p - q, 5*p = 2*q - r + 3. Suppose 4 = p*b, 5*b - 319 = -2*l - 55. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -3*f - 0*f - 25, -3*g = 5*f + 40. Let c = f - -3. Let x = 20 + c. Is 8 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/60)\/(18\/24)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -30844\nAnswer: -1\/15422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1 + (-4)\/(-36)*-55 and 47\/27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from abfrvavrfbavvvr. What is prob of sequence rba?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2 + 14900*z + 119328.\nAnswer: -2*(z - 7458)*(z + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12782?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.6 - -2. Let f = y + 0.4. Which is the closest to -1? (a) f (b) -1\/2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 47063549 to the nearest integer?\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 68 + 706418672.\nAnswer: 706418740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffddfdffddff. What is prob of sequence ff?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, -10, -23, -42?\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/(i**2*i))*i)**(2\/17) assuming i is positive.\nAnswer: i**(8\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1720 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (30\/4)\/((10\/4)\/5). Let p(g) = g**3 - 10*g**2 - 8. Is p(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*x**2 + x + 12*x**2 - 45*x**2 + x + 14*x**2 - 3816 as w*x**2 + h*x + i and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -6374, -1021, 4332, 9685?\n\"Answer: 5353*q - 11727","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*y + 15*y + 14*y.\nAnswer: 39*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 197823912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37359636.\nAnswer: 2, 3, 23, 223, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of 943*k**5\/60 + 33*k**3 + 1039*k**2. Differentiate c(s) with respect to s.\nAnswer: 1886*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 - 8*t**2 - 9*t - 1. Let f be b(9). Let i(h) = -245*h + 22. What are the prime factors of i(f)?\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 341, 334, 321, 302, 277?\n\"Answer: -3*t**2 + 2*t + 342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/((-6930)\/36)*(-855)\/(-57)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 108286081 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5113.\nAnswer: 5113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 13*b + 87. Let n be j(-7). Let x be ((-190)\/(-45) + -4)\/(n\/(-24)). What is u in 4\/3*u - 1\/3*u**2 - x = 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 4*v + h, 0 = 2*v + 5*h - h + 24 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 464132 - -371?\nAnswer: 464523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5676 divided by -2.\nAnswer: 2838","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3791*l + 3784*l - 7 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 423, -2\/15 in decreasing order.\nAnswer: 423, -2\/15, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58135391?\nAnswer: 1471, 39521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4895 and 165?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of z**3 - 4*z. Let a(j) = -j**2. Give a(c(q)).\nAnswer: -36*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -5. Suppose 5*f + 3*i = -62 - 23, -110 = 5*f - 2*i. Let s be ((-12)\/f + -1)*l. What is the biggest value in s, -0.1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, 24, -3\/7, -5?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**2 - 26303325*g - 184123520.\nAnswer: 5*(g - 5260672)*(g + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 174, 718, 1624, 2892, 4522, 6514, 8868?\nAnswer: 11584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8930 = 5*c - 5*k, 4*c + 5*k - 4996 = 2130. Let v = -21269\/12 + c. Find the common denominator of v and (-5538)\/104*(-4)\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7520717 is divided by 7520609?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1085.643 + -1085. Let k = y + -0.543. Let p = 0.13 + 0.07. Which is the nearest to k? (a) 6 (b) p (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 - 8*m - 4. Let w be d(-7). Let z = 8 - w. Solve -z*h + 1 = -2*f, -4*h + h - 5*f + 13 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 662353622?\nAnswer: 2, 7, 1559, 30347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -3*l + 19, 5*l - 27 = 2*l + 3*k. Suppose l*p - 3*p = 117555. Let d = -10411 + p. Round d to the nearest one thousand.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of h**3\/6 + h**2. Suppose 10 = 3*x - 2. Suppose 0 = -2*v - d - 1, -x = -d - 3. Let l(r) = r - 4. Calculate v*l(a) - 6*o(a).\nAnswer: -a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -128 + 116. Which is smaller: v or -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 AM and 8:49 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-5 - (-5 + (-2 - -5)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12185686923 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -240 + 257b?\nAnswer: 233b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x - 3*x + 3*x - 1 + 2*x + 1 + 1 - 2*x - 1 + (0*x + 2*x - x)*(-4 + 5 + 1) + 1 + x - 1 + 3*x + 4*x - 6*x)*(2*x**2 - x**2 + 2*x**2).\nAnswer: 6*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9.4 - 12.4. Let u = b - -3.1. Let x = -17.1 + 17.1. What is the closest to x in u, 2\/5, 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 91 and 10.\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 - 10*k + 12. Calculate u(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/26726 and 59\/338261.\nAnswer: 56151326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 + (-99)\/(-6))*-2. Let v = d + 19. Let r = 2 - v. Solve 2*w = -s + 9, 4*s - 3*w = 1 - r for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 605707607 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2524204873 to the nearest integer?\nAnswer: 50241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - -4)\/(7\/(-294)). Let o = -57 - g. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 414*p - 406*p + 13*p**3 - 8*p**3 - 3*p**3 + 11*p**2 to the form n*p + l*p**2 + r*p**3 + q and give n.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4018 - -20092\/5. Let m = -0.5 - 0.6. What is the second biggest value in 0.3, m, j, 0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 4*v**3 + 7*v**2 - 5*v + 19. Let y(h) = -2*h**3 - 4*h**2 + 3*h - 10. Let l(f) = 6*s(f) + 11*y(f). What are the prime factors of l(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 210 divide 342823950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-1*sqrt(85))\/(sqrt(605)*2 + sqrt(605)) - (1 + sqrt(1700) + (2*sqrt(1700))**2 + sqrt(1700) + 1).\nAnswer: -6802 - 665*sqrt(17)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -4*f - 77. Let m(q) = q**2 + 59*q - 1596. Let n be m(20). Determine l(n).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gggg when four letters picked without replacement from gggggggggg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2159644 by -10187.\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 3 w when four letters picked without replacement from {z: 1, w: 18}?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 34745639561 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 43*l**3 + 12485909 - 12487151 - 243*l + 138*l**2 - 16*l**3.\nAnswer: 3*(l - 3)*(l + 3)*(9*l + 46)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*c + c**5 + 4*c + 6*c - c**2 + c**2 - c**5 + (c**3 - c + c)*(-4*c**2 + 5*c**2 - 2*c**2).\nAnswer: -c**5 + c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - f. Let d(i) be the third derivative of 1\/42*i**4 - 1\/210*i**5 - 1\/21*i**3 + 0*i + f + i**2. Factor d(r).\nAnswer: -2*(r - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 51369 and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 2*i - 2*y + 7, -y = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -76 - -75.69. Let w = -0.69 - i. Round w to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - 3*m + 3*m)*(50535 - 50535 - 946*m**2).\nAnswer: -1892*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 170875 - 73926. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d - d - 8 + d**2.\nAnswer: d**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -39 - -58. Let p = 21 - j. Let i = -28.8 - -31.8. Which is the third smallest value? (a) i (b) p (c) -5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113261 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-10))\/(1139\/(-5360)*-100*12\/50)?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -36*j + j + 35560. What are the prime factors of j?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-6) - 3\/(-6). Let v(t) = t**2 + 24. What is the tens digit of v(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4355610 (base 9) to base 4\nAnswer: 20323100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3197 is divided by 190.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1312492 - 27096\nAnswer: -1339588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 21 - 4 = 2*f, 11 = 2*f - 3*r. What are the prime factors of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -16 - ((-18 - 23 - -19) + 27)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 25290447?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -421, -0.1, 249, -6, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 603 is divided by 55?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 1167*m**3 + 14*m**2 + 9*m - 30. Let d be v(7). What is d rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7955923?\nAnswer: 7955923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3040 and 64000.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -21*p + 5. Let b(g) = 136*g - 32. Let n(j) = 5*b(j) + 32*z(j). Let w(y) be the second derivative of -y**4\/6 - 7*y. Give w(n(k)).\nAnswer: -128*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**5 + 11061*p**4 + 165465*p**3 + 826575*p**2 + 1377000*p.\nAnswer: 3*p*(p + 5)**3*(p + 3672)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 45*s. Let n(q) = 333*q**2. Give n(v(k)).\nAnswer: 674325*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, t: 1, i: 6, j: 2, h: 7}. What is prob of picking 1 t, 2 j, and 1 i?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - 47 - -5) + 24?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -10*q**2 - 331*q + 3. Calculate x(-33).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19077*p**3 + p**2 + 5469 wrt p.\nAnswer: -114462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -358*a**3 + 2*a**2 + 4*a + 10. Let y(r) = 715*r**3 - 5*r**2 - 10*r - 25. What is -5*l(v) - 2*y(v)?\nAnswer: 360*v**3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixth of a decade?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 167 divide 24215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/((-330)\/36)*(300\/70)\/6\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t + 12. Let n(o) = o + 11. Let p(d) = 6*n(d) - 5*q(d). Calculate p(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 317 divide 300575?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 232102794?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0 - ((-23 - -34) + 115) - -28\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2301.\nAnswer: 3, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 11*g + 3. Let v be y(-9). What are the prime factors of (-2 - -1)\/(3\/v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115 is divided by 31.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/162 and -97\/3672?\nAnswer: 11016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6198547 and 42833.\nAnswer: 43389829","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1472 + -1395. What is the highest common divisor of f and 6237?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 264 and 13032.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qkggmggcc. What is prob of picking 1 g and 1 m?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 618473639?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -708*k + k**5 + 708*k - 18*k**2 + (0*k**2 - 2*k**2 + 0*k**2)*(-2*k**3 + 0*k**3 + k**3) + 4*k**5 + k**2 - k**2.\nAnswer: 7*k**5 - 18*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173361 = -4233*m - 114483 for m.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7 and 0.08?\nAnswer: 0.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 0. Let d = 19 - n. Does 5 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -391.\nAnswer: 1\/391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 8*c = -4. Let d(b) = b**2 - b. Let o = 17 - 11. Let m(s) = 5*s + 10*s**2 + 3 - o - 17*s**2. Calculate c*m(v) - 5*d(v).\nAnswer: 2*v**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-223 + 4929 - 143)*(-k + 2*k + 4*k - 3*k).\nAnswer: 9126*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*j + 11*j. Suppose -5*u + j*u - 122 = -3*k, 3*k = -2*u - 32. Put 4, u, -7 in increasing order.\nAnswer: u, -7, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(208) + -2 + -3 - (1*(sqrt(13) + sqrt(117)*-1))**2.\nAnswer: -57 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10016 - 9999. Calculate the remainder when h is divided by ((-2)\/3)\/((-2)\/27).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89 - 35 = 3*n + 5*w, -w + 72 = 4*n. Solve 4*x - 2 = -n for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28850244 to the nearest integer?\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -0.5. What is the third smallest value in 1, -3\/4, r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*y + 141 = -7*l + 69 + 560, -y = -4*l - 33 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.8 + 0.2. Let d = -5 + 8. Which is the closest to m? (a) 1\/5 (b) d (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 - 9*q**2 - 11*q - 6. Let s be d(-8). Let n be 18*3*2\/s. What is the units digit of (1 + -3)*(-3)\/n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 53\/5 of a millimeter?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of 3*v**7\/14 - 7*v**5\/20 - v**3\/3 - 5*v. Let u(l) = 5*l**5 - 4*l**3 - l. Let p(h) = 6*i(h) - 11*u(h). Factor p(a).\nAnswer: -a*(a - 1)**2*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -d. Suppose 2*u + 0 + 2 = d. Let q be (-3)\/2*(-2 + 32\/6). Which is the nearest to u? (a) q (b) -3 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2\/3)\/b**(-1\/4))**(2\/57))**48 assuming b is positive.\nAnswer: b**(-40\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 704525?\nAnswer: 5, 28181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -121*p**3 + 5*p**3 - 82*p**3.\nAnswer: -198*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 - 11*j - 23. Let k be d(-10). Let y = k - -19. What is the lowest common multiple of 12 and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 114771975?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 209?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 6.07. Let w = 0.04 + -0.01. Let m = w - n. Which is greater: -0.2 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 11 - 27. Let l be (7 + f - 2) + 20. Let u = -10 + l. Calculate the highest common divisor of 1 and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 0*w + 8. Let p(m) = 2*m**3 - 3*m**2 + 3*m - 3. Let b be p(w). What is the greatest common divisor of b and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -16.6, 5, 1, -9\/10, 6\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -965\/4 + 240. Let s = 112.6 + -96. Let j = -6.4 - s. Sort j, -1, r in descending order.\nAnswer: -1, r, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 608, 1218, 1828?\n\"Answer: 610*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 7, -30, -4 in increasing order.\nAnswer: -30, -4, 7, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d\/(d\/((d*d**(8\/7))\/d))*d**21*d**(-7)*d**(-10\/9)\/d)**5 assuming d is positive.\nAnswer: d**(4735\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -1066 - z**2 + 1066. Let d(b) = 8*b. Determine d(q(r)).\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/10*(-1 + 1). Suppose 10 = -y*c + c. Let i(g) = g + 5. Is i(c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j. Let s(p) = 41 + 106*p - 84*p - 40. Give s(w(v)).\nAnswer: 22*v + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 441312 is divided by 73.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of 5*x**4\/24 - x**3 - x**2. What is the remainder when q(4) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28800 is divided by 64.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5 + -3 + -3 + 4. Let q be (4 - 3)\/(f\/(-525)). List the prime factors of (12\/(-15))\/(5\/q).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 4*n**3 - 66*n**2 - 189*n - 27. What is h(19)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2556 minus 419966?\nAnswer: -422522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-100)\/(-15))\/20*(-9)\/1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 4*x - 13 - 5, -x = 5*p - 1. Let f be -4*(p + (1 - 1)). Let l = 2679.5 - 2680. What is the second smallest value in l, f, -1\/7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 813 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10\/7 + -2 - 52\/(-91). Let k be d + 0 + (-18)\/((-7)\/7). Calculate the highest common factor of k and 72.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 1:00 AM?\nAnswer: 4:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14701507 + 52?\nAnswer: -14701435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.064395217 rounded to one dp?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, v: 1, e: 13}. What is prob of picking 1 e and 1 v?\nAnswer: 13\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*w**3 - 44 + 0*w**3 - 6*w**3.\nAnswer: 2*w**3 - 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -58.98654 + 55.546393. Let u = 3.44 + w. What is u rounded to 5 decimal places?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 200 and 1223720?\nAnswer: 6118600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 15433203.24us in weeks?\nAnswer: 0.0000255178625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f + 12. Let s be b(-6). Let h = -3 + s. Let d = 5 - h. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7956 - -7970. Let k(n) = 9*n**3 + 5*n**2 + 7*n. Let b(q) = 4*q**3 + 3*q**2 + 3*q. What is x*b(s) - 6*k(s)?\nAnswer: 2*s**3 + 12*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 264 + -265.07. Let m = a - -1.17. Let j be (-3)\/(-23)*8\/(-8). Is m smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9663966 or -1\/2?\nAnswer: 9663966","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m + 5. Let y(j) = -j - 9. Let x be y(-9). Let z be o(x). Suppose -z + 9 = -n. Let g(p) = p**2 + 4*p + 1. Give g(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(2\/11))**(1\/58))**(-4)\/(u**10*u*u\/(u*u*u\/((u**(1\/12)\/u*u)\/u)))**(-4\/23) assuming u is positive.\nAnswer: u**(30667\/22011)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = t - 3*p - 3, 2*t + 62*p = 57*p + 6 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 0.136\nAnswer: 0.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*t + 3*t + t)*(-3 + 3 - 2*t)*(4 - 3 - 2)*(-47*t - 52*t + 415*t).\nAnswer: -1264*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of -t**4\/12 - 5*t**3\/3 - t**2\/2 - 22*t - 1. Let q be i(-10). What is the closest to q in 0.5, -0.5, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 30 - (55 - 9).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 59*g - 157. Calculate o(7).\nAnswer: 256","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 + 3*l**2 - 2*l + 5. Let a be m(-4). Let i(b) = -3*b + 16. Let y be i(5). Let s be 88\/48 + y\/6. What is the nearest to 0.1 in a, s, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 938*g + 2 + 1256*g - 781*g to t*g + q and give t.\nAnswer: 1413","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 444 = 2*l + l. Let y be 30\/12 - 1\/(-2). Suppose 0 = -y*d - 34 + l. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/2 (b) -1 (c) -12\/17 (d) 6 (e) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 72 and 3.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 227321 is divided by 184?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -13*y**2 + 2*y - 8. Suppose -2*r - 18 = -11*r. Let q be k(r). Is q greater than or equal to -58?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7228 - 3068 = -18*c. Round c to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 509*q**2. Let v(l) = 10*l**2. Give v(z(s)).\nAnswer: 2590810*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2703372 and 354013.\nAnswer: 29737092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 21? (a) 58 (b) -2 (c) 0 (d) 5 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-160)\/(-2)*(2 - 0). Calculate the greatest common divisor of 20 and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 140 and 303080?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 5*q = -26, -x - x - 16 = -2*q. Let l be ((-9)\/27)\/(2\/12) - x. Let s(y) = l - 8 - 1 - y + 6. Give s(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4*w = 1 - 4, 5*u + w + 23 = 0. Let l = 0.05 - 4.85. Let p = 5 + l. What is the third smallest value in 3, u, p?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 26*i + 16. Let f(p) be the third derivative of 5*p**4\/24 + p**3\/2 - 4*p**2. Let r(g) = 11*f(g) - 2*v(g). Differentiate r(o) with respect to o.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39761543 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/(-65) - (-94)\/(-840) and 69\/140.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3 < 4248.62?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -1, -4 in increasing order.\nAnswer: -8, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 375313 or 375315?\nAnswer: 375315","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 37499 and 641311.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -25*c**2 + 145*c**2 - 21*c**2 + 15 wrt c?\nAnswer: 198*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -3*m + 2. Let l be u(2). Let h(o) = -o - 1. Let c(z) = -z**2 - 3*z - 3. Let s(p) = c(p) + 3*h(p). Determine s(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + -41?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of -n**6\/1800 - n**5\/300 - n**3\/2 - 3*n. Let t(j) be the second derivative of q(j). Determine c so that t(c) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 - 1 = 8*l. Suppose 90 = -0*v + 5*v + 3*p, 4*v = -l*p + 75. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1150\/375 - 1\/15 - 0. Solve 3*b = -7*d + 12*d + 19, -o*b = 4*d + 26 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3995491?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/7*y**2 + 0 + 16\/7*y.\nAnswer: -4*y*(y - 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 AM and 11:25 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 204003*f**2 + 1. Suppose 9*p - 4 = 5*p. Let d be a(p). Let g be d\/(0 + 2) - 2. What is g rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 51213094.964 + -52.\nAnswer: 51213042.964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence px when two letters picked without replacement from {x: 1, p: 2, s: 3, l: 10}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-12)*(-20)\/15.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2459, 2490, 2547, 2636, 2763, 2934, 3155, 3432?\n\"Answer: n**3 + 7*n**2 + 3*n + 2448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*h + 2*q + 2, 0 = 5*h - 17*q + 20*q + 11 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.287414904 rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 14, -2\/9, 2.9, 0.3, 22, -49, -2?\nAnswer: 2.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25.7 + 29.52. Let y = g - 0.82. Which is smaller: y or -3\/26?\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 times 2794?\nAnswer: 33528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qkiqkiniqkqqqnqqqf. Give prob of sequence qn.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 109267 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v**2 + 1. Let q(d) = d**2 - d + 1. Let k(i) = -2*q(i) + 3*r(i). Let x be k(-1). Suppose -3 - 6 = x*z. Let n(p) = 2*p**2 + 4*p + 1. Give n(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + 11a86?\nAnswer: 11a82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2 + f**3 + f**2 + f**2 - 3*f**2 + 2*f**2. Let i be h(-2). Let q(r) = -12*r**3 - r**2 + r + 2. Let s be q(i). Round s to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 14*u - 22. Let v = 227 - 150. Let i(b) = -363*b + 572. Let c(t) = v*o(t) + 3*i(t). What is the derivative of c(m) wrt m?\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 94848651*s*w + 5*s + 2068390 wrt w?\nAnswer: 94848651*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -d, 5*n - 2*d - 97 = -0*d. Calculate the common denominator of (-3)\/9 + 142\/n and ((-3)\/12)\/((-56)\/(-32)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.14 + -189.86. Let a = 199.7 + z. Let c = -1.4 - a. What is c rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, p: 1, z: 4, v: 6, i: 4}. Give prob of sequence kpk.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 49*o - 54*o - 15 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -4*u - 2. Let h be n(-2). Let z(b) = 0*b - b + 3 - h*b + b**2. What are the prime factors of z(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - ((0 - -6) + -3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from byykzbczby. Give prob of picking 3 y and 1 c.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1042 + 12062. What are the prime factors of j?\nAnswer: 2, 5, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 26*(-29)\/(-2) + 0. Suppose -2*g - g - 2*j + d = 0, j + 637 = 5*g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 to the power of 1\/2, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2510222.183 rounded to the nearest one thousand?\nAnswer: -2510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -0.25, 4, 1, -5, -4 in descending order.\nAnswer: 12, 4, 1, -0.25, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*d + 0*d - 5*d + (1 + 0 + 0)*(-2*d + 2*d - 2*d))*(-11*d**2 - 12*d**3 + 7*d**2 + 14*d**3) as b*d + h*d**3 + l + z*d**2 + p*d**4 and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/18)\/((-3)\/45)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -7*y**2 - 3*y. Let g(q) be the first derivative of -5*q**3 - 7*q**2\/2 + 14. Calculate 6*g(t) - 13*o(t).\nAnswer: t**2 - 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52) + 3 + sqrt(13) + 5*sqrt(104)\/sqrt(8) - ((sqrt(52)\/sqrt(4) + -1)**2 - (-1 + sqrt(65)\/sqrt(5))**2).\nAnswer: 3 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rg when two letters picked without replacement from {t: 4, j: 1, g: 2, r: 10}.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 - ((10 - 1) + (-31 - (23 - 41))).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -50 divided by -10\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 12*i**2 - 21*i**2 + 10*i**2 - 5*i to the form c*i + y + p*i**2 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 238971 divided by 6?\nAnswer: 79657\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u - 3. Let i be n(-3). Suppose -4*k = -1 - i. Let l(x) = x - 4. Let y(d) = -d + 1. Determine k*l(o) + 2*y(o).\nAnswer: -o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 20731 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = 3*r - 102, -3416 = 5*r + 4*x - 3586 for r.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -191.2 + 227. Let y = j - 35.7. What is the nearest to y in 0.5, 5, 0.12?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3180.\nAnswer: 2, 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58 - 238 = -43*v - 1556 for v.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-426)\/3)\/(2528\/102). Let g = w + -130\/79. What is the common denominator of g and (-3)\/1*26\/18?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + r = -q - 3, -5*q - r = -12. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1418.4 - 1422. Which is the second biggest value? (a) d (b) 1\/6 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 790*j - 7004 - 6204 = 2052*j - 3112 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 1928*q + 3. Is g(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 v when two letters picked without replacement from {m: 2, z: 1, v: 1, d: 4}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = -62*b + 79 - 30. Put -1, -5, 5, -140, b in ascending order.\nAnswer: -140, -5, -1, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wmsmfffffwwswmw. Give prob of picking 1 w and 2 m.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -i, -37 = d + 4*d - 3*i. Let s(m) = 16*m + 128. Let y be s(d). Solve -p + 1 = -4*f, -p - 4*p + 25 = y for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*k**3 - 59*k**3 + 112*k**3 + (2 + 0 + 1)*(-2*k - 2*k**3 + 2*k) in the form h*k**3 + o*k + s*k**2 + z and give h.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26056357, -52112716, -78169075, -104225434, -130281793?\nAnswer: -156338152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6513.054 micrograms in nanograms?\nAnswer: 6513054","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.72 minus -0.06?\nAnswer: 18.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 15*x**3 + 10\/3*x + 5\/3*x**5 + 25\/3*x**4 + 35\/3*x**2 + 0 = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*y**6 - 33*y**2 - 50*y**6 - y**4 + y**4 wrt y?\nAnswer: -5760*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1, 1.281, 1?\nAnswer: 1.281","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/5 - 2618\/(-110). Suppose 0*o = -5*o + 3*z - 2, -2*o - 5*z + l = 0. Suppose 5560000 = -o*h - 2*h. Round h to the nearest one hundred thousand.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3a63 (base 15) to base 6.\nAnswer: -133420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33600, 134410, 302470, 537816, 840484, 1210510, 1647930, 2152780?\nAnswer: 2725096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17 in -4, -66883, -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -513402.731 to the nearest ten.\nAnswer: -513400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - (9 + (-8 - -7)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u**(3\/5)))**27\/((((u\/u**10)\/u*u)\/u)\/(u\/u**4)) assuming u is positive.\nAnswer: u**(-46\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*u - 42*u = 7302. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*j**2 + 14*j + 44\/3.\nAnswer: -2*(j - 22)*(j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0*1\/(-4 - -1). Solve 4\/9*c - 2\/9*c**4 + l*c**2 - 4\/9*c**3 + 2\/9 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -32900, -65800, -98700, -131600?\n\"Answer: -32900*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 + 33*n**2 + 32*n + 68. Let r be v(34). Sort -1, 85, r, 5 in descending order.\nAnswer: 85, 5, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 4*h - 678 + 560 = 0, -2*q - 3*h + 89 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -55128544.6 rounded to the nearest 100000?\nAnswer: -55100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 19 - 39. Solve 10 = l*v - 3*d, -v + 4*d = -6*v + 10 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -14 or 141644?\nAnswer: 141644","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**3 - 2*x**2 + 2*x**2 + (-x + x + x**2)*(-5 + 5*x + 5) + 4*x**3 + 4*x**3 - 2*x**3.\nAnswer: 13*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 33 = 5*z. Suppose z*r + 0*r - 2629 = 0. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, k: 7}. Give prob of sequence wkkk.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 184638056 a multiple of 346?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3788 is divided by 153.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*q - 5*q. Let v be 27\/15 - 0 - q. Put -2\/13, 3\/2, v in increasing order.\nAnswer: v, -2\/13, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 10, -3, -66, 22 in decreasing order.\nAnswer: 22, 10, 4, -3, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 47\/16 + -297\/112. Let l = -0.66 - -0.06. Let q = -0.1 - l. What is the closest to 0 in q, m, -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 42 - 12. Let c = j - 16. What is the remainder when 10 is divided by 1\/(-3) + (-26)\/c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -5*s + 275, -2*s - 3*m = s - 174. Suppose s + 12 = 13*g. Let h(v) = -4*v + 9. Let y(k) = -1 - 3 - 2 + 3*k. Give g*h(a) + 7*y(a).\nAnswer: a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, f: 3, v: 1, x: 10}. Give prob of picking 1 l and 1 f.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (69\/46)\/(3\/8). Calculate the greatest common divisor of 20 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*m + 29*m - 21*m - 6000. Calculate the remainder when m is divided by 130.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -178, -5, -11081?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -43235153432195\/629972882 + 1\/57270262. Let g = -69515 - s. Let p = -883 - g. What is the common denominator of -27 and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - (-14)\/8 - 1. Suppose 3*v + s = -v + 18, -12 = -2*v - 2*s. Suppose 2*l - v*l - 8 = 0. Sort 3, j, l in decreasing order.\nAnswer: 3, j, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (121 - 113)*14\/16.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53029592 is divided by 41?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 143 divide 18590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.243 - -3.757. Which is the biggest value? (a) 1 (b) -1 (c) o (d) -1.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 17*v. What is the units digit of o(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -174 + 205. Suppose -3*t - 19 = -w. Which is the nearest to -0.1? (a) -2 (b) -0.6 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.06 + 2.94. Let c = -241.98 - -237. Let l = c + -0.02. What is the second biggest value in l, -3, f?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1212 - 12020?\nAnswer: -10101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4191\/40 - 562\/5. Calculate the common denominator of (-2)\/5*(-78)\/8 and z.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*p = 142 - 192 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1164 is divided by 383?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + (3 - 3) + -7?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 3670, 2, 1 in descending order.\nAnswer: 3670, 2, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 + -47. Let y = i - -49. What is the units digit of (-4)\/(-3)*y\/12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 6*y - 76750 = -4*r, r - 19184 = 4*y. Suppose 0 = 12*i + 5268 - r. Is (i\/(-25))\/((-6)\/15) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -0.28368\nAnswer: -1.4184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l**(-4)*l))**(-2\/9)*(l**(1\/8))**(-19) assuming l is positive.\nAnswer: l**(-251\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 - 8*f + 9. Let w be s(6). Let r be 1 - w\/((-6)\/(-8)). Solve -u + r*u + 4 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -n - 3*n + 3*n + 9*n**5 + 3*n wrt n?\nAnswer: 180*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 22 - 5) + (2 - 6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 5*w + 21, 20*p = 15*p - 2*w - 5. Solve -5 = -a - p for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.688 - 0.058. Let x = w + 0.44. Round x to one dp.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 655 - 36679\/56. Suppose -12*v + 16*v + w - 3 = 0, -v = -2*w - 3. Which is smaller: v or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 9 = -39. Let n = 20 - v. Factor -10 + n*t - t**2 + 2 - t**2.\nAnswer: -2*(t - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36, -61, -72, -63, -28, 39, 144?\nAnswer: 293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, x: 1, s: 2}. Give prob of sequence hs.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s**3 - 43*s**2 - 197*s - 159. Let u(t) = 11*t**3 + 255*t**2 + 1180*t + 953. Let o(g) = 34*f(g) + 6*u(g). Let o(x) = 0. Calculate x.\nAnswer: -4, -1, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 145\nAnswer: -4\/145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.76 + 20.06. Which is the third smallest value? (a) -1\/2 (b) 0.1 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 89, 46, -3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 12:18 PM?\nAnswer: 11:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 4*i + 2608. Suppose 5*u + l - 16 = 0, -2*u = -3*u - 4*l - 12. Suppose -i = -u*b - 98. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10314.893507 rounded to the nearest 10?\nAnswer: -10310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) -3 (b) 1\/6 (c) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30138?\nAnswer: 2, 3, 5023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -79462054*f**2 - 17045087 wrt f?\nAnswer: -158924108*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 9706745 and 6859.2.\nAnswer: 9713604.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - ((-5 - (-5 + 2)) + 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -33 - (-1 - 22 - (481 + -512))?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(28)*-4 + -1)**2.\nAnswer: -32*sqrt(7) + 1793","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1994466 + 1994468. Factor 0 + 2\/3*c**a + 4\/3*c.\nAnswer: 2*c*(c + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((2 + sqrt(363))**2*-6 - (sqrt(363) + (sqrt(363) + -1)*-4)**2)*-5*-5.\nAnswer: 548500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = -b - 0*b - 1, 3*r + 12 = 4*b - 11 + 6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -84 + 169\/(-26)*(-72)\/(-819)*7.\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4883\/3, -0.03, -108 in ascending order.\nAnswer: -108, -0.03, 4883\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 131 + -132. What is the second smallest value in -5, 1\/4, -2, d?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.04 in 0, -0.04, 1110, -1, -0.6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3656338?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -115*z**4 - 6.\nAnswer: -460*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 0 - -6 - (-26 + 26)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 1589*u**2 + 26*u + 5. Let v(s) = s**2 - 6*s + 1. Let z(w) = a(w) + 6*v(w). Is z(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -59203 by -4.\nAnswer: 59203\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2))**(2\/7)*n**(-2\/11)*(n\/(n\/(n*n**(-3\/2))))\/n assuming n is positive.\nAnswer: n**(-347\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*z - 14 + 67*z + 20 - 9*z + z to r + n*z and give r.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 717368 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -69 + 61 + -2 + -16 + 2\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4062 - -4)\/((-3)\/(((-105)\/14)\/5)). Which is smaller: q or -2030?\nAnswer: -2030","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 6. Suppose 10 = 3*a - z. Let h(l) = l**3 - 3*l**2 - 3*l + 1. Let c be h(a). Put c, -1\/4, -2\/11 in descending order.\nAnswer: c, -2\/11, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10410 + -10244. Which is greater: 177 or s?\nAnswer: 177","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 30 = 2*k. Suppose -28*o - 12 = -32*o. Solve -b = 2*j - 3, -2*j + 3 + k = o*b for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -202985 greater than -202984?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 16 = -4*y, 80 = 7681582*c - 7681577*c + 10*y for c.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 1:41 AM?\nAnswer: 6:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 47632 divided by 229?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -43914874 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -251162313 = 637*x - 555381343 - 495151633. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 7255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 6564822 divided by 17\nAnswer: 386166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-44)\/(-10) + (-2)\/5. Suppose 0*p - 2112 = -4*p. Suppose i - u*i = -p. Calculate the highest common divisor of i and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c + c**3 + 7 - 2 - 3*c + 3*c + 3*c**2. Determine k(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 - 10*s**2 + 6*s + 2. Let j(g) = -g**3 + 10*g**2 - 9*g - 2. Let z(y) = 3*j(y) + 2*r(y). Give z(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*j**5\/2 - 457*j**4 - 2937*j**3\/2 - 246*j**2 + 1414*j - 384 = 0. Calculate j.\nAnswer: -2, 1\/3, 3\/5, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/10*3*((-18)\/(-243))\/((-4)\/(-192)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 329, 593, 849, 1097?\n\"Answer: -4*b**2 + 276*b + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 4. Let l = -31 - 11. Let j be (-4)\/14 - (-2)\/l. Which is the third smallest value? (a) h (b) j (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 7.63. Which is bigger: -1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 32*q**2 + 98*q - 28. Let v(o) = -8*o. Give v(t(r)).\nAnswer: -256*r**2 - 784*r + 224","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 15 = 17. Suppose -o + b + y = 0, 5*o + 6*b - 10 = b. Solve -o*s + s = 16 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.6 - -0.6. Which is the nearest to 0.1? (a) 0.3 (b) 3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = -5*y + 197. Let h = -32 + y. Solve q - c - 6 = 3*q, -2*q - 4*c = h for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5339.654, -1, 0.4, 3 in ascending order.\nAnswer: -1, 0.4, 3, 5339.654","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19899477.99999948 + 19899446. Let c = 7.1 + -39.1. Let j = w - c. Round j to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-j + 3 - 3 + (-4 + 6 - 1)*(-2*j + 2*j - 7*j) - 2*j - 12*j + 0*j)*(-3*j**2 + j**2 + 0*j**2) in the form m*j + b*j**2 + t*j**3 + l and give t.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y + y**2 - 4*y)*(-5*y**2 + y**2 + y**2).\nAnswer: -3*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 + 8*i - 10. Determine n(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 20\/21, -228, 4\/21?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13742816 >= 1.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of v**5\/40 + v**4\/6 - v**3\/2 - 3*v**2. Let i(h) be the first derivative of x(h). Differentiate i(d) wrt d.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4069752410?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -311*w + 501*w - 2378990 = 0. Is w a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/(-10) + (-195)\/(-392). Let b = s - -1625\/392. What is the common denominator of b and (2\/(-2) - 21)*(52725\/456 - 115)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 - b**2 + 58. Let w be n(0). Let f = 64 - w. Calculate the least common multiple of f and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -5*b - 2. What is z(1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3332 - 102001121?\nAnswer: -102011113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -15572 (base 9) in base 15?\nAnswer: -326b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3619, -7226, -10835, -14446, -18059?\n\"Answer: -x**2 - 3604*x - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 1500 = -y, -4*v + 5*v + 3*y - 500 = 0. Suppose q = 11*q - v. Let m(f) = 12*f + 3. Let k be m(4). Which is smaller: k or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -5*j - 187. Give t(-39).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**3*o)\/(o\/o**(1\/7))*(o\/o**(-1))**13*(o**1)**(-11\/4)*o**(-4)\/(o*o**(-2)) assuming o is positive.\nAnswer: o**(655\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 27043*z. Let v(h) = 2*h. What is s(v(t))?\nAnswer: 54086*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*((-78)\/117)\/((-10)\/(-78)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19198.2kg to grams.\nAnswer: 19198200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.3 - -1.3. Let n be 30\/(-4)*3\/(-30). Let q be (104\/(-28) - -4)\/((-1)\/2). Which is the nearest to 1? (a) z (b) q (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14028.\nAnswer: 2, 3, 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 4 = 0, 8*l - 2*h = 7*l - 7 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -4*y**2 - 10*y + 43. Let n(h) = 2*h**2 + 5*h - 21. What is 7*n(p) + 3*x(p)?\nAnswer: 2*p**2 + 5*p - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68856769?\nAnswer: 68856769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 42767 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19*d*i**3 - 4*d*i**2 + 214*d*i + 2*d - 136911*i**3 + 2*i**2 + 1106*i wrt i.\nAnswer: -114*d*i - 8*d - 821466*i + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(75) - (-1 + sqrt(75))) + 3)*-2 + -3)**2.\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 12:27 AM?\nAnswer: 7:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 72711\/19 - (-34)\/323 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100001 - -10110001111101111011010?\nAnswer: 10110001111101111111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 164*v**2 + 4 + 1 - 7 + 35*v - 44*v + 6 wrt v?\nAnswer: 328","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 251262765?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.7 * -5.9.\nAnswer: 4.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 6, m: 2}. What is prob of sequence mf?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.0289 less than -19.52?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {x: 5, p: 8}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of -3 + 1\/9*g**3 - 2\/3*g - 1\/6*g**2. Factor w(t).\nAnswer: (t - 2)*(t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3806303 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.086, 3\/11, 1\/56?\nAnswer: -0.086","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5 and -0.439?\nAnswer: 5.439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32704?\nAnswer: 2, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 319.\nAnswer: 2\/319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 4*o**4 + 20*o**3 + 16*o**2 = 0.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -74*p**2 - 17*p + 685. Let n(g) = 26*g**2 + 6*g - 229. What is -6*j(s) - 17*n(s)?\nAnswer: 2*s**2 - 217","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence obob when four letters picked without replacement from {b: 5, o: 3}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 + 14. Is 14 a factor of y(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*t + 2*t - t)*(-4 - 8 - 3) to c*t + v and give c.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11482 >= -32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (512*u - 1389*u - 54628 + 54628)*(0 - 4 + 5)*(3 - 3 - 1).\nAnswer: 877*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/200 and -36\/55.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -658 - 826*r - r**2 + 601 - 25 - 743 = 0 for r.\nAnswer: -825, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 1513271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 + 12. Sort t, -0.4, -3.\nAnswer: -3, -0.4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.706524m in nanometers?\nAnswer: 4706524000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2924872?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i**3 + 22*i**2 + 32*i - 24. Let p be s(-9). Calculate the highest common divisor of 3918 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 4*b = -18, 2*b = -3*b + 15. Let o be j\/1*(-4)\/3. Is 2\/o - (-1162)\/8 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 173 + -169. Suppose 0 = m*z + q + 11, 7*z - 9 = 3*z - 5*q. Which is the biggest value? (a) -15 (b) -5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7139, -28650, -64507, -114710?\nAnswer: -179259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*u**3 - 12*u**3 - 84*u + 5*u**3 - 3 + 4 - 18*u**2 + 13*u**2 in the form t*u**3 + a*u + f*u**2 + y and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*c**2 - 12*c**2 + 149979*c**3 - 149970*c**3.\nAnswer: 9*c**3 - 4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.7, -1\/7, -0.16, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 58776754251\/3817 - 15398678. Let s = -2\/347 - z. Which is the biggest value? (a) -3\/5 (b) s (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-20)*f*f)**(-3) assuming f is positive.\nAnswer: f**54","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 37575 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 4*w + 3*j, -2*w - 4*j + 3*j = -7. What is the lowest common multiple of w - 7\/(1 + 0 + -2) and 54?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -22.7 and 0.4.\nAnswer: -9.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, w: 2, p: 2, f: 5}. What is prob of sequence pfpw?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -180136 or -176978?\nAnswer: -176978","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.5963um in millimeters?\nAnswer: 0.0185963","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of a**3\/3 + 2. Let j(p) = -3 + 3 + 2*p. Give j(b(v)).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -18151286.\nAnswer: 3\/18151286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -108 in -7, 7, 2\/17, 0.05?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -697171*u**2 - 2784679*u wrt u?\nAnswer: -1394342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 649*y + 39 = 636*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3651856 divided by 1448?\nAnswer: -2522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from txtxxxxxx. Give prob of picking 2 t.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3.05 times 1\nAnswer: 3.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 - 2.65. Let m = 11 - d. Let h = m - -0.326. What is h rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*r + 2 + 2*r + r**3 + r**2 - 34*r to t*r**3 + y*r**2 + m + u*r and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10080*g**2 + 2*g - 15610.\nAnswer: 20160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from ttttttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 88100 divided by -17620\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 35592 - -40.\nAnswer: 35632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -40*h + 2. Let k(j) = 13*j - 1. Suppose 4*w = 9*w - 25. Let g(n) = w*r(n) + 16*k(n). Give g(4).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*z**2 + 0*z**2 - 2*z**2 + (-8 + 10*z + 8)*(2*z + 2 - 2) + 0*z**2 + 3*z**2 - 2*z**2.\nAnswer: 24*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.04, 0.3, 1\/2, 2.6, -0.2, -4, 0.7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 3*p - 2. Suppose n = 6*n + 4*h + p, -h = 3. Which is greater: 3\/2 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*u + 8*u**2 - 6*u - 5*u**2 - 4*u**2 as x + l*u**2 + t*u and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22363 is divided by 339.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 5*f = 10, 8*n - 4*n = -15*f - 30 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.359 take away 0.2?\nAnswer: -0.559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttttttt. What is prob of sequence ttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -81, 114, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 13848 = 2*h, 2*h + 151*g - 13832 = 154*g. What is the remainder when h is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13962600 by 5.\nAnswer: -2792520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 188 = -5*l, 2*l + 3*l - 260 = -5*q. Calculate the highest common divisor of q and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 20.260983 months?\nAnswer: 1.68841525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 220 = -4*a, 0*a + 69 = a - 4*o. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 5, f: 2, h: 4}. Give prob of sequence xhx.\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 491*g**2 + 392*g - 2716. What is the thousands digit of k(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/7 + 12082*p - 15745400\/7.\nAnswer: -2*(p - 42100)*(p - 187)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-52)\/286)\/((-2)\/(-22)). Let q = 139 - 60. What is the remainder when q is divided by (10\/(-40))\/(w\/160)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 650243 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**0*t\/(t**(1\/17)*t*t))**(-29) assuming t is positive.\nAnswer: t**(522\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q**(-6\/13)\/q*q))**0\/(q**23)**(3\/31))**(-7\/2) assuming q is positive.\nAnswer: q**(483\/62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1110201 + -1?\nAnswer: -1110202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3985 a factor of 825357260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 7 = b, -2*u - 1 = -2*b - 3. What is the highest common factor of u and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-5))**31 assuming k is positive.\nAnswer: k**(-155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**4)**(-3\/22) assuming v is positive.\nAnswer: v**(-6\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 59\/3 of a decade?\nAnswer: 2360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*x = -9*x - k + 13, -2*x + 3*k + 1 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lph when three letters picked without replacement from {b: 1, h: 6, a: 1, l: 3, p: 1, t: 3}?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - l + 22 = 0, g + 2*l + 11 = -2*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*u**3 + 37*u**3 - 19*u**3.\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.8245694 - -21609.1855694. Let w = z - 21605.89099924. Let h = 0.53 + w. What is h rounded to 7 dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 0*p + 5*p - 24, -2*p = -8. Let j be q - (-4)\/((-16)\/(-20)). Suppose -o + 14 = 5*l, -5*o + 11 + 15 = j*l. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 3*o - 2208. Let x = -543143\/776 - 3584\/97. Let h = o + x. What is the common denominator of -46\/11 and h?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 43171, 0.\nAnswer: -4, 0, 43171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 11 = -g, -4*q - 4*g = -8*g - 8. Suppose 4*s + 165 = q*u, 3*s - 144 = -u - 2*u. What are the prime factors of u?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -4*i. Let a(k) = -17*k. Give h(a(p)).\nAnswer: 68*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -i**3 + 2*i - 2*i**4 - 1435*i**2 + 1 + 359*i**2 + 968*i**2 as r*i**3 + p*i**2 + m + y*i**4 + w*i and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-15))\/(65\/260)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 86, -4 in decreasing order.\nAnswer: 86, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + i**3 - 2)*(-2*i - 2 + 2) + 6425*i**4 - 12819*i**4 + 6489*i**4 to the form p + f*i + d*i**4 + x*i**2 + w*i**3 and give d.\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1997 is divided by 331?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a century in years?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.760710909 and -0.1.\nAnswer: 0.660710909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-105)\/(-63)*(-729)\/45\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-2*sqrt(75)*2 + -3 + -4)**2.\nAnswer: 560*sqrt(3) + 2498","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123058 is divided by 42.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2633*f + 64. Suppose 4*l + 3*o + 2*o - 32 = 0, 0 = -5*o. Let t be s(l). Round t to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: 120\/(-540)*(-2)\/4\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -12 + 13 + -14?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3\/15 - 13612*d**2\/15 - 15032306*d\/15.\nAnswer: -2*d*(d + 1387)*(d + 5419)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 474\/12181?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/65)\/(4\/(-10)). Let j = 17905 - 17904.7. What is the closest to l in j, -2\/5, 0.4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 9, -18, 1, -5 in ascending order.\nAnswer: -18, -5, 0, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -58 - -155. Suppose 3*u - 3*a - p - 1526 = 0, -4*a - 541 = -u. List the prime factors of u.\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 + -168 + (0 - 8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/4 (b) 1 (c) -1\/301 (d) -436\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 54325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (3 + 11 + -9)) + 1 + 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/20 + (-691)\/(-1840). Let w = 8347\/4784 - m. What is the common denominator of w and -65\/3?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2\/11 (b) -179 (c) -1\/5 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 912 is divided by 430.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7332 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-49)\/(-140) + (-6)\/10. Let c = 1.3 + -6.3. Let m = 9 + c. What is the smallest value in d, m, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 14940390.\nAnswer: 1\/4980130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1327 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*k + 3505 = 5*f - k, 3515 = 5*f + 4*k. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 PM and 9:30 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2. Let s(o) be the third derivative of -7*o**5\/30 - 2*o**3\/3 - 21*o**2. Let h(j) be the first derivative of s(j). Calculate r(h(u)).\nAnswer: 784*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 (base 4) in base 8?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2460?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 + -2760.2585.\nAnswer: -2760.1585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -5233523 (base 6) to base 12\nAnswer: -1028a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h**2 + 12. Let b(p) = 3. Let z(j) = -4*b(j) + u(j). Let s(c) = -22*c**2. Determine s(z(l)).\nAnswer: -88*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -633*i**6 + 2*i**4 + 1637*i**2 + i?\nAnswer: -75960*i**3 + 48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0758813 to two decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 763?\nAnswer: 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 - -491.\nAnswer: 491.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -62423743.2818?\nAnswer: -62423747.2818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 234758 is divided by 89.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -975, -3559, -7889, -13965, -21787, -31355, -42669?\n\"Answer: -873*c**2 + 35*c - 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*z - 3*j, -5*j - 11 = -4*z - 29. Let d be (0\/(-1))\/((-6)\/(-3)). Let w be z + d - 1 - -2. Sort 2, w, -2.\nAnswer: -2, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 16, -2\/9 in descending order.\nAnswer: 16, 0.4, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -3150, 4672?\nAnswer: 4672","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5043 and 18.\nAnswer: 30258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3588561246 to 2 dps.\nAnswer: -0.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 8. Let b(p) = -7*p**2 + 3 + 6*p + 4 + 2*p. Let s(w) be the first derivative of 2*w**3 - 7*w**2\/2 - 6*w - 3. What is n*b(c) - 6*s(c)?\nAnswer: -c**2 + 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 4*n**3 + 4*n**2 - 6*n - 5. Let u(p) = 5*p**3 + 3*p**2 - 6*p - 4. Let a(q) = 5*u(q) - 6*x(q). Let k be (-120)\/15*(5 + -6). Give a(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, -47, -22 in decreasing order.\nAnswer: 1, -4, -22, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 + 4*m**2 - 3*m + 3. Let p be c(3). Solve -l + p*l = 4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/((-2)\/8) + 21. Let s = 25 + -34. Let k = x - s. List the prime factors of k.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26099b (base 13) in base 2?\nAnswer: 11011111100010010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 + 26*g - 27. Let j be y(10). Suppose -5*r = 5*x - 161 - 54, 0 = 3*x + 4*r - j. What is the remainder when 41 is divided by x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i + 10. Let g be u(-4). Suppose 88 = g*f - 2*f. Is (f - 1) + -8 + 11 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24014 - -24016. Determine v, given that 3*v**h + 3\/7*v**3 + 15\/7 + 33\/7*v = 0.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -0.1 (b) -0.01 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**1\/v*v**(-15)\/v*v*v)**(-21))**1 assuming v is positive.\nAnswer: v**294","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -3*y**3 - 12*y**2 + 50*y + 248. Calculate z(-5).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -4.05. Let w = y + -0.05. Is -8 bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 3*a**2 + a + 1. Suppose 2*h = 3*u - 6*u + 25, 3*h + 29 = 5*u. Suppose 0 = -u*g - 3 + 31. Calculate the remainder when g is divided by c(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 589 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 793 - 906. Let j = -110 - g. What is the closest to j in -2\/9, -25, -0.4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -293, -442, -623, -836?\nAnswer: -1081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 - -27. Suppose 0 = -o - 3*y - n + 28, 0 = -2*o - 4*y + 24. Solve o*p = 12 + 8 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g + 943906 + 622494 = 0. What is g rounded to the nearest 10000?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 7 = -14*m. Let o be (-20)\/25 + 32\/(-10). Let h be 2 - o\/(-6 - -4). Is h > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-11)\/(-33) + 130\/6. Let b = z + -12. Let h = 12 - b. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -68159195 - -68159193.83848698. Let v = 0.8615131 + d. Let o = v + 0.3. Round o to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2746*a**2 - 2741*a**2 - 2748*a**2 + 8230*a**2.\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -147*c**3 + 6*c**2 - 3586394*c - 1 wrt c?\nAnswer: -882*c + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-2)*30\/(-40)*1\/((-57)\/(-1330)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -275 + 278. Suppose u = 5*v + 119, -u + 207 = h*v + 48. Is 24 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 - j + 11. Let k be g(-5). Let h(p) = -p**2 + p + 4. Let s(x) = -2*x**2 + 2*x + 9. Let u(c) = k*h(c) + 4*s(c). Let u(d) = 0. What is d?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 49*c*f*l**2*w**2 - 3*c*f*l*w**2 + 2*c*l**2*w - 4*c*w**2 - f*l**2*w + f*l*w**2 - f*w**2 wrt l?\nAnswer: 98*c*f*w**2 + 4*c*w - 2*f*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48.70397mm to centimeters.\nAnswer: 4.870397","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 2:24 PM?\nAnswer: 7:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 159 + 154 - 311 - 5*v**3 - 7*v**2 as s + m*v**2 + r*v**3 + p*v and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 14330 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/1)\/((-37)\/888). What is the highest common factor of b and 256?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 5*g + 173. Let v be d(-28). Let u be (-12)\/10 + v\/165. Sort 3, 9, u, 2 in descending order.\nAnswer: 9, 3, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-5)*10065\/(-366)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s + 35. Let b = 1542 + -1542. Determine l(b).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (66\/55)\/(3\/(-10)). Let v(k) = k**2 + k + 2. Is 7 a factor of v(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of -h**6\/120 + h**5\/120 - h**4\/4 + 3*h. Let k(p) be the third derivative of g(p). Determine k(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6 + ((-10)\/(-5))\/((-2)\/1). Let q = 19 + 5. Suppose q = 6*d - j*d. Is d a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35, -92, -163, -254, -371, -520?\nAnswer: -707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/78622 and -37\/19.\nAnswer: 78622","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -0*p - 4. Let u = 9 + -7. Suppose -3*l - 42 = -3*y, -p*l = u*l + 16. Calculate the lowest common multiple of y and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 c when two letters picked without replacement from fcffffkfcf?\nAnswer: 14\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -86.641742 to 0 dps.\nAnswer: -87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22142?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.8 and -0.06873.\nAnswer: -0.261174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000188815 rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y**3 + 140*y**2 - 125*y - 3500 = 0 for y.\nAnswer: -28, -5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -251 divided by -13095?\nAnswer: 251\/13095","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 120475 - 18553229\/154. Find the common denominator of 37\/20 and w.\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -4910\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2.8 and -7203256.93799?\nAnswer: 7203254.13799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3366 (base 11) in base 14?\nAnswer: 1884","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13*(-64)\/(-9360))\/(2\/(-5)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 3*n + 4, 2*q - 2*n - 2*n = 6. Let z be q\/(-5)*(2 - 0). Let y = -115\/28 - -27\/7. Which is the third smallest value? (a) z (b) 2\/7 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -165 (b) 2\/9 (c) 5\/2 (d) 4 (e) -1\/3 (f) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 57848998?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.3 + -1.1. What is the smallest value in -5, 4, b?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6795 = -51*h - 10059 for h.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*t**2 - 46 + 0*t**2 + 98 + 132*t + 47 + 4*t**2 wrt t.\nAnswer: 4*t + 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 21*j + 48. Let n(w) = 3*w + 7. Let y(u) = -u**3 + 5*u**2 - 85*u + 708. Let x be y(7). Give x*n(o) - 2*z(o).\nAnswer: 3*o + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*w**4 + 4*w**3 - 6*w**2 - 6446*w.\nAnswer: 60*w**2 + 24*w - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -594, -455, -206, 153, 622, 1201, 1890?\nAnswer: 2689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -5*i - 4893 - 39357, 0 = 5*u + 2*i - 44250. Is 16 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 3, 149 in decreasing order.\nAnswer: 149, 20, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 + 93*w + 4*w**2 - 95*w. Let s(n) = 9*n**2 - 5*n. Calculate -11*p(z) + 4*s(z).\nAnswer: 3*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of -23*z**2\/2 + z + 13. Calculate x(1).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (0 + -5)*36\/225)\/((-165)\/(-275)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/3*1*(-6)\/6\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k = -42 - 48. Let d be k\/(36\/8) + 2. Solve -3*v = -3*o + 18, o - 29 = -4*o + d*v for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-324)\/135)\/(-7 - (-136)\/20) - -17?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4688 divided by -586?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/1816 and -37\/2292.\nAnswer: 1040568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -4*c**3 - 2*c**2 - c. Let f be u(-1). Let w be 3 - (f - 12\/2). Factor -d**2 - w + d + 4 + 2.\nAnswer: -d*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 - (-5 + -1) - (-10 - -10 - 4)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 294*o**2 - 12*o - 52. Suppose 0 = -2*y + 4*k - 24, -4*y + k - 32 + 12 = 0. Let l be t(y). What is l rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -4*b - 24. Let i(u) = -5*u**2 - 3*u - 3. Let m be i(-2). List the prime factors of x(m).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -320800 to the nearest 10000.\nAnswer: -320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 98*b**3\/11 - 350*b**2\/11 + 16*b - 24\/11 = 0.\nAnswer: 2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from ooonnoo.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (2 - (0 + -1))) + 0\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2208 is divided by 65?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/2, -0.2, -176?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*1*sqrt(1573) + sqrt(1573) + -2*sqrt(1573)*-6 + sqrt(1573))**2.\nAnswer: 265837","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -5*u**2 + 29*u + 12. Determine c(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 127 + -117 - 48 - 1.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6733)\/3)\/((-2)\/(-582)). Let v = m - -1073101. What is v rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*w - 89*w - 6*w = -2178 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -380 = -4*r + 2*r. What are the prime factors of ((-26)\/52)\/(1*(-1)\/r)?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5928962*p**4 - 4978424*p wrt p.\nAnswer: 71147544*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, n: 1, t: 2, f: 1, h: 3}. What is prob of sequence hf?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/6 - 6310\/(-20) a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3326*o - 15*o**2 + 3326*o)*(11*o**3 + 47*o**3 - 3*o**2 + 3*o**2).\nAnswer: -870*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -15*q**2 + 4*q + 131. Let d(m) = 15*m**2 - 2*m - 156. Calculate 5*d(f) + 6*k(f).\nAnswer: -15*f**2 + 14*f + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 divided by 4227?\nAnswer: -17\/4227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1211557 to the power of 1\/2, to the nearest integer?\nAnswer: 1101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 1158.766.\nAnswer: -5793.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 272*o**2. Let q(v) = -4579*v. Determine q(r(z)).\nAnswer: -1245488*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 392148?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2 - -35221\nAnswer: 35223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 11 + (-8 - -2) + -3 - 2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, c: 1, i: 2, q: 2, y: 1}. What is prob of sequence fqy?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 386, 2992, 10004, 23612, 46006?\n\"Answer: 365*j**3 + 13*j**2 + 12*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - p = -21. Let x = -170 + 254. What is the highest common factor of p and x?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cggnnnggg. What is prob of sequence nc?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 381630*a + 2289776. Give q(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 36732270 to the power of 1\/3, to the nearest integer?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + 0*s + 2*s)*(0*s + 0*s - 2*s) + 0 + 0 - s**2.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5628.52 centuries in months?\nAnswer: 6754224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*a + 424*a = -595*a - 90258 for a.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1137, 973, 549, -267, -1607, -3603, -6387, -10091?\nAnswer: -14847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132 = -881*g + 879*g + 4*c, -4*g + 320 = -c. Solve -34 + g = 6*l for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 37874335 to the nearest integer?\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-270)\/(-60))\/((-2)\/116). Let k = -259 - t. Solve -11 = -k*d + 3*s, -2*d + s + 17 = 2*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -293*c + 1. Let i(m) = 6377*m. Calculate d(i(o)).\nAnswer: -1868461*o + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25860.\nAnswer: 2, 3, 5, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 19 (b) 521 (c) 5 (d) 2 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of i**3\/6 + 9*i**2\/2 + 3*i. Suppose -2*b = 2*b. Suppose -4*z - z = b. What is h(z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -t + 86, -5*t + 21 = j - 3. Let h = j - 173\/6. Determine r, given that -1\/3 + 1\/2*r - h*r**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 551*y**2. Let x(l) = -9*l. Give a(x(q)).\nAnswer: 44631*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/((y*y**(-23)\/y)\/y))\/y)\/(y\/(y\/(y*y\/(y\/((y*y*y\/(y\/y**(-20\/9)*y))\/y))))*y))\/(y*(y**(-1)\/y)\/y*y)**(-30) assuming y is positive.\nAnswer: y**(-52\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15282 + 1395691.3.\nAnswer: 1380409.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.46 - 2.54. Sort v, 1, -1\/5, 4.\nAnswer: v, -1\/5, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b + 36. Let n be s(0). Let h = 0 + n. Is 18 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13288 is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -3*z. Let s(c) be the second derivative of 44*c**3 + 123*c - 2. What is s(b(n))?\nAnswer: -792*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-13)\/(-312)*-8)\/(-8)?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1033*t**2 + 2072*t**2 - 1032*t**2 - 14)*(4*t + t - 3*t).\nAnswer: 14*t**3 - 28*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/((x\/x**1*x*x)\/x))\/x)**17*(x*x\/((x\/(x**9\/x)*x*x)\/x))\/x**2)**(-3\/26) assuming x is positive.\nAnswer: x**(33\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -5*t + 29. Let z be h(6). Let w(v) = -v**2 + 1. Let m(f) = 8*f**2 - f - 4. Give z*m(c) - 6*w(c).\nAnswer: -2*c**2 + c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.2 (b) -1749260 (c) 0.08 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 8:12 PM?\nAnswer: 1:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of -4*u**3\/3 + 62*u**2 - u + 68. What is the remainder when 46 is divided by p(14)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -709, -2842, -6397, -11374, -17773?\nAnswer: -25594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from dwddmdhrvhvvd?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 15 = -3*a, -3*n + 9 = -3*a + a. Suppose 6 = c + 2*b + 1, a = -3*c - b. Which is smaller: c or -4\/31?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58274 <= 57955?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 317337?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**(1\/3)\/g*g*g**(1\/7)*g**(-4)\/g**3*g**(-3\/4)*g\/g**(1\/11)*g**3*g\/((g*g**(2\/7))\/g*g) assuming g is positive.\nAnswer: g**(-2449\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.4 - -0.1. Let y = 14 - 13.62. Let b = y + 0.02. What is the closest to 1 in b, 0.3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2958030 and 24150?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - 22?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.23497 times -1\nAnswer: -0.23497","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47970 divided by -47970.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10312 and 12?\nAnswer: 30936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -56, -108, -162, -218, -276, -336, -398?\n\"Answer: -b**2 - 49*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89*b**2 + 89*b**2 + 84*b**2 - 258*b**2.\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -44617014 or -44617015?\nAnswer: -44617015","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -181\/90 and -41\/8760.\nAnswer: 26280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -67087 take away 2.804?\nAnswer: -67089.804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1662 + 1668 + -2*98\/20.\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u**3 + 15*u**2 + 21*u + 147. Give i(-8).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 102 and 100 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 43, 106, 195, 310, 451?\nAnswer: 618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 + 9*o**2 + 4. Let k be p(-5). Let i = k + -67. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j + 5*j + 7*j. Let r(q) be the third derivative of q**5\/20 - q**4\/12 + 125*q**2. Let o(y) = y**2 - y. Let n(i) = -6*o(i) + 3*r(i). Give v(n(f)).\nAnswer: 33*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of 7*n**4\/6 + 5*n**3\/3 - 41*n**2. Let i be o(5). Let a = i - 105. What is the greatest common divisor of 5 and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 5537 and 5545 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = 4*s + 6. Let r be (-184)\/s - 19\/133. Solve 14 = -4*x + 4*f - 3*f, 0 = -x + 5*f - r for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*c - c**2 - 1 + 1.\nAnswer: -c**2 - 9*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-2*(-1)\/(-16)). Suppose 2*q - 4*q = -n. Solve 0*i - 2*i + q = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2002103102 (base 4) in base 6?\nAnswer: -15234522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26777?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in eighty-nine halves of a millennium?\nAnswer: 4450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -214857561 to the nearest 1000000.\nAnswer: -215000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-11)\/5 + (-9)\/(-45). Let g be 2\/(y\/3) + 7. Suppose 2*b = g*b - 46. List the prime factors of b.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 4*u - 168, 4*r = 5*r + 5*u - 58. What are the prime factors of r?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, g: 1, h: 1, w: 1, p: 1, q: 1}. Give prob of sequence wgp.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -25601, -51201, -76801, -102401, -128001, -153601?\n\"Answer: -25600*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 96633370 to the nearest integer?\nAnswer: 9830","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4415?\nAnswer: 5, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 242?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -433*f. Let w(b) = 100*b**2 - 32*b. Determine w(q(i)).\nAnswer: 18748900*i**2 + 13856*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 6.2 times 2\nAnswer: 12.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) 0.4 (c) -6\/67 (d) 339 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(f\/(f*(f*f**2)\/f))\/f*f*f**(1\/18)*f**(2\/23)\/(f\/(f**(3\/10)*f)))**(2\/117) assuming f is positive.\nAnswer: f**(-1154\/121095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 185352, 1482986, 5005200, 11864304, 23172608, 40042422, 63586056, 94915820?\nAnswer: 135144024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - 12 - (6 - 10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 295 = 3*x, 0 = x + 4*n - 60 - 34. Is 7 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7488 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7 - (-162)\/22)*1\/4. Let t(m) be the first derivative of -6\/11*m**4 - 4\/11*m**3 - f*m**6 - 4\/11*m**5 + 8 + 0*m - 1\/11*m**2. What is u in t(u) = 0?\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -74416 + -3?\nAnswer: -74419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((2*(sqrt(2156) - (sqrt(2156)*-1 - sqrt(2156))))\/(-1*-6*1*sqrt(4))*6)**2 + 1.\nAnswer: 19405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1513)\/(-6) - (-110)\/(-660). Calculate the greatest common factor of c and 1372.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-12\/11)*b*(b*b**(18\/11))\/b)\/(((b\/(b\/b**(8\/7)))\/b)\/b**(-19)))**(-47) assuming b is positive.\nAnswer: b**(63685\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**2)**(-34\/5)\/(z**(-2\/21)\/z**(-2)) assuming z is positive.\nAnswer: z**(-2342\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 divided by -1?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*h + 136 = 342 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 6 (b) 0.81 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/54)\/((-1)\/4). Let b be (1337\/(-28) + -13)\/((-2)\/(-24)). Let m = b + 742. Is m < v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of 0*a**5 + 0*a**2 + 1\/6*a**6 + 35 - 1\/7*a**7 + 1\/3*a**3 + 58*a + 0*a**4. Find the third derivative of i(j) wrt j.\nAnswer: -120*j**3 + 60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -3*i**5 - 99*i**4 - 969*i**3 - 1869*i**2 + 7056*i - 4116 = 0?\nAnswer: -14, -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (300 - 177 + 183)*(-1 + 2*d**2 + 1).\nAnswer: 612*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 AM and 2:54 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*u + 905 = -105 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 7.58028237 - 4\nAnswer: 3.58028237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yuvv when four letters picked without replacement from {u: 1, y: 5, v: 5}?\nAnswer: 5\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -23*x + 5. Let s(y) = 392*y - 84. Give 5*s(g) + 84*z(g).\nAnswer: 28*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*w - 13 = 43. Calculate the lowest common multiple of 111 and (9\/15)\/(w\/60).\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 125643, 1004941, 3391617, 8039361, 15701863, 27132813?\n\"Answer: 125615*j**3 - j**2 - 4*j + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0658 - 0.019. Let a = n + 0.16. Round a to 3 decimal places.\nAnswer: 0.075","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1039*p**3 + 14*p**2 - 1013*p**3 + p**4 - 13*p**2 to h*p + v*p**2 + t*p**4 + f*p**3 + q and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 192109732, 192109730, 192109728, 192109726, 192109724, 192109722?\n\"Answer: -2*k + 192109734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - (-42 - -60)) + 41\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 506 is divided by 29.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 45 - -27. Suppose -3*s + w = -45. Calculate the greatest common factor of 65 and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24*f**4 - 1437*f**3 - 180*f**2.\nAnswer: 3*f**2*(f - 60)*(8*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of -t**2\/2 - 2*t + 3. Let s be d(-5). Solve c + s*c = -5*n - 30, -n = 4*c + 22 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -8*h**2 - 97*h + 3. Let y(s) = s. What is y(t(b))?\nAnswer: -8*b**2 - 97*b + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 4*q + 132, 4*q - 4 + 12 = 0. Let s(p) = -p**3 - 29*p**2 - 25*p - 14. Let d be s(m). Round d to the nearest 10.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - 276\/(-23) - (-1 + (-32)\/(-17))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4084*c - 63 = -4077*c for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = 4*d - w - 68, -5*w = 0. Solve 2*i - 4 = 3*a, -19 = 5*i + 4*a + d for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 366 is divided by 358?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d. Let g(c) = -130*c**2 + 11. Determine i(g(w)).\nAnswer: 130*w**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 68270.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 19 = c, -17251576*c - 5*u = -17251577*c - 30 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 23*v = -6*l - 645 + 333, 4*v - 9 = 2*l + 43 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (4 + 4 + 47 + -10) - (2 + -1)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 6*x**2 - 1281*x + 1347. Let c(i) = -i**2 + 322*i - 337. Let l(r) = 9*c(r) + 2*j(r). Factor l(t).\nAnswer: 3*(t - 1)*(t + 113)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136 + 112 = -6*p. Suppose 0 = 6*k - 8*k - p*q + 1402, -4*k + 2*q + 2764 = 0. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -243 + 283. Calculate the remainder when 199 is divided by l.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 15 = 5*s - 57, 5*s = -5*l + 30. Suppose -4*y = -s*y + 265. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1712301, 3424655, 5137021, 6849405, 8561813, 10274251, 11986725, 13699241?\n\"Answer: q**3 + 1712347*q - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0205247 to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 283664?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.63 + -261.63. Let g = 448 + w. Let z = 186.9999887 - g. What is z rounded to 6 decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 2)*(-15*u**2 + 4 - 3*u + 12*u**2 + 36).\nAnswer: 3*u**2 + 3*u - 40","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 27*a**4 - 7*a**3 - 7*a - 8. Let k(v) = 28*v**4 - 6*v**3 - 6*v - 8. Let w(u) = -7*k(u) + 6*m(u). Differentiate w(x) wrt x.\nAnswer: -136*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 6*n + 2 = 5*n, -3 = 3*b + 4*n. Put -2, -13, 3, b in increasing order.\nAnswer: -13, -2, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1743136, 1743153, 1743170, 1743187?\n\"Answer: 17*x + 1743119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**4\/3 + 4*g**3 + 80*g**2\/3.\nAnswer: -2*g**2*(g - 10)*(g + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (61 - 29) + -5 - (-15 - 62)?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -57, -120, -201, -306, -441, -612, -825?\nAnswer: -1086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16460 and 7407.\nAnswer: 148140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7 and 128969?\nAnswer: 902783","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -11*r + 7. Let s(n) = -n**2 + 17*n - 11. Calculate 8*j(q) + 5*s(q).\nAnswer: -5*q**2 - 3*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-820*i - 914*i + 2 + 1504*i)*(-1 + 2 - 3)*(-2*i + 4*i - 3*i).\nAnswer: -460*i**2 + 4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -40392 - -105039. List the prime factors of b.\nAnswer: 3, 11, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 402792?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 147663?\nAnswer: 3, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 - 6. Is 3 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11751254 >= -11751257?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 9 - 9 - (4 + -5 - 5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 883055276*c**3 + 394381185 wrt c?\nAnswer: 2649165828*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16? (a) -251 (b) -0.1 (c) -18 (d) -5 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125216 = -1786*n + 622*n - 478*n - 594*n for n.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1094, -1092, -1090, -1088, -1086, -1084?\n\"Answer: 2*k - 1096","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002601931797 to 6 decimal places.\nAnswer: 0.002602","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 53*l - 325. Give t(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 551\/20 in -1\/7, 3, 13, 4, 0?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*h**4 + 2 + 0*h**2 - 21*h**4 + 2*h**3 - 2*h**2 - 14*h + 34*h**4 to o*h + l*h**4 + w*h**2 + k*h**3 + x and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 603604358?\nAnswer: 2, 7, 223, 397, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9048253 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 847*v**4 - 39820*v**3 + 473651*v**2 - 132098*v.\nAnswer: v*(7*v - 2)*(11*v - 257)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -n - 4*g - 2, 4*n - 12 = -4*g. Solve 2*m = c - 7, n = 3*c - 3 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12097562 by -2.\nAnswer: -6048781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llllaljalyeela. What is prob of picking 2 e?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 18254612?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*h + 2*h - 3*h + 4*h - 3*h + 0*h + (2*h - 1 + 1)*(-1 + 3 - 1) - 4*h + 5*h + h - 6*h + 3*h + 2*h - 2 - 2*h + 2.\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - k - 566 = 0, -5*x + 3*k - 2*k = -707. Suppose -y - 2*g = -441 + x, -3*y - 3*g = -897. Calculate the remainder when y is divided by 76.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z**3 + 275*z**2 + 142*z - 502. What is l(138)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -542940 + -1?\nAnswer: -542941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*c - 3*c + 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 PM and 7:04 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u**3 - 5*u**3 + 3*u**3 - 3)*(-3*u + 4*u + 0*u).\nAnswer: 3*u**4 - 3*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -35.05 - -35. Let d = 4.35 - t. Let c = 4.400012 - d. What is c rounded to 5 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1559 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of 349*x**5\/20 - x**4\/6 - x**3\/6 + 603*x**2\/2 - 3087*x - 1. What is the second derivative of v(g) wrt g?\nAnswer: 2094*g - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 8:23 AM?\nAnswer: 10:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.3 - 0.7. Let j = -215 - -1502\/7. Let k = 67 + -66.5. Which is the closest to -0.1? (a) j (b) x (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + a = -4. Let h(u) = -4*u**2 - 4*u + 6. Let g(c) be the second derivative of -c**4\/12 - c**3\/6 + 4*c. Let d(t) = a*g(t) + h(t). Solve d(p) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/30585 and -86\/15.\nAnswer: 30585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 43 - 14?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 91931 and 1305306?\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*i - v - 3 + 17, -23 = 5*i - v for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x + 4. Let t be p(0). Solve -3*i - t*z + 0*z = -23, 5*z = 10 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-40*o + 20*o - 8 + 18*o)*(33*o + 12*o**3 - 33*o) in the form w + k*o + a*o**4 + h*o**3 + p*o**2 and give h.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-3))**44*j\/(j\/j**30)*(j\/(j*(j*j**(-22)\/j)\/j)*j)\/j assuming j is positive.\nAnswer: j**(-35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5926700 rounded to the nearest 10000?\nAnswer: 5930000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.277 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 10 + 10 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -150 - -153. Solve -3*s = -4*s + r for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -926.2 + 926. Suppose 0 - 4 = 4*j. Which is the second smallest value? (a) 3 (b) s (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + -1. Let f = 31.5 - 32. Let s = -2.9 - -3. Which is the closest to -2\/3? (a) f (b) l (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -5*v + 6. Let i(g) = -6*g + 7. Let r(f) = 7*b(f) - 6*i(f). Let y(t) be the third derivative of 19*t**5\/60 + 29*t**2 - 2. Determine y(r(c)).\nAnswer: 19*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 250 - 20. Is 23 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/16*(-104)\/9. What is the second biggest value in 1, m, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 183*p - 22. Let k(v) = 33*v - 4. Let u(o) = -22*k(o) + 4*m(o). Let y(z) = -247*z. What is u(y(s))?\nAnswer: -1482*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 123 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-81)\/(-6) + (-1)\/(-2). Suppose 5*n - 2*y - p = 149, 3*n = 2*y + 101. What is the remainder when 152 is divided by n?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (((-3)\/(-45))\/(2\/198))\/((-4)\/(-5580))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3\/14 + -5\/7. Let x = -75 - -80. Which is the third biggest value? (a) -2\/13 (b) x (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t + 16. Let c be l(8). Suppose 4*b - w = w + 86, -2*w = -2*b + 38. Calculate the highest common factor of c and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 2 + 6 - 1 - (-239 + 221)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -30549 at most as big as -30559?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of 0*u**2 + 1\/12*u**4 + 1\/45*u**5 + 20*u + 0 + 1\/540*u**6 - 1\/6*u**3. Let s(g) be the second derivative of z(g). Factor s(p).\nAnswer: 2*(p + 1)*(p + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10710 + 15139. Is u a multiple of 154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 794977 + 17?\nAnswer: 794990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -3*u**3 + 5*u**2 + 20*u + 1. Calculate p(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 14, -75 in decreasing order.\nAnswer: 14, 5, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (18\/10 + 1\/5)*44. Let p = 110 - n. What is the lowest common multiple of 12 and p?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/4 of a milligram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 5*x = -0*w + 40, -2*x = -w + 2. Let t be (7 + -5)\/(2\/14). Suppose 4*g = -12, -t = -3*h + 5*g + 13. What is the least common multiple of w and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 641491 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (24\/(-48))\/((-2)\/29804).\nAnswer: 7451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 - 7*g - 7. Let d be ((-4)\/(-22))\/(25\/550). Let f(l) = -4*l - 4. Give d*p(t) - 7*f(t).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-261)\/(-116)*10\/9?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/x**(1\/4)))\/x)**(-21)*(x\/(((x*x*x\/x**(-3))\/x)\/x))\/(x**(-2\/11)\/x) assuming x is positive.\nAnswer: x**(613\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 + 31 + 17 + -47?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34501 is divided by 38?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*v - v - 5*y - 638 + 521, 5*v + 7*y = 131 for v.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.027224 and -0.534.\nAnswer: -0.014537616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6428\/16045 - -2\/3209. Which is the nearest to -0.11? (a) x (b) -0.09 (c) -2\/13 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -101 - -106. Let y(t) = 60*t**3 - 9*t + 45. Let p be y(k). What is p rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -4*w + 2. Let c(m) = -4*m + 2. Give 3*c(h) - 2*y(h).\nAnswer: -4*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + -5. Let w(n) = 1 + 17*n**2 + h*n - 6*n - 15*n**2 + 68*n**3. Is 23 a factor of w(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((30\/3)\/2)\/((-1188)\/216).\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.157 to 2 dps.\nAnswer: -1.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/5)\/(-1) + (-26)\/15.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of 5\/2*q**2 - 4*q + 1\/3*q**3 - 3. Let w = -14 - -9. What is v(w)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 90229920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -50 - -9. Let k = -38 - j. Suppose 0 = 2*a - k*r - 347, a = -3*a + r + 709. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4eaa9 (base 15) to base 8\nAnswer: 754377","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -61 + 107. List the prime factors of h.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12389 - 2838. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6566.5 plus -34498?\nAnswer: -27931.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 47974?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2790 divided by 5\nAnswer: -558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 k when two letters picked without replacement from {t: 6, k: 4, j: 3, x: 3, h: 4}.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -739*n - 1812. Give t(-2).\nAnswer: -334","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45, 159, 347, 609, 945, 1355, 1839?\nAnswer: 2397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (64 - 44) + -111 + -1 + 26?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 796075 (base 11) in base 10?\nAnswer: 1267194","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = -18*f - 120. Is -3*f\/(-60) + 20319\/12 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-5) - 48\/(-5). Let h = -6 + g. Suppose -2*n = s + h, 0*n = s + n. Solve -2*a = -4*a + s for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1953?\nAnswer: 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that i**2\/4 - 22*i = 0.\nAnswer: 0, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3710, 7403, 11096, 14789?\nAnswer: 18482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 4*a - 5. Is k(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, -637, -9, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1413961 or -1413967?\nAnswer: -1413961","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ovv. Give prob of sequence vo.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -41, -154, -335, -584?\n\"Answer: -34*b**2 - 11*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26673 + 26736. Solve 6*u = 15 - t for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 440996021 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4999*p - 5012*p + 442 for p.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 903 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 3182 = 730. Suppose -4*o + 411 = 2*t - 259, -4*t + n = -4*o. Suppose -r = 4*r + 3*b - t, 0 = -2*r + 4*b + 142. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66304 is divided by 13230?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 18347, 14448, 10547, 6644, 2739, -1168, -5077?\n\"Answer: -u**2 - 3896*u + 22244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -8, -25, -6 in increasing order.\nAnswer: -25, -8, -6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01767178823 rounded to six decimal places?\nAnswer: 0.017672","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 7 = -3*r, -4*r - 4*s - s - 8 = 0. Let p be ((-6)\/r - -6)*1. Suppose -5*l - 1 = -p*l. Which is greater: -1\/10 or l?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*i - 27608 = -1615. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - ((8 - 3) + -8 + 20 + -12).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46101 is divided by 15362?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -20*w + 85. Let s be v(4). Solve -2*t = 3*q - 0*t + 12, 4*q - s*t = -16 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (9 - (5 + -11 + 5)) - -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 264 - 2948?\nAnswer: -2694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 - -67. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13534 + -1242?\nAnswer: -15106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of -n**5\/120 - n**4\/4 + 100*n**3\/3 + 102. Let z(v) be the third derivative of h(v). Determine z(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -2. Suppose 12 = -h*i + 4*y, -2*i - 16 = -3*y - 5. What are the prime factors of ((-14)\/6)\/(i\/12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68 + -63 + (1 - 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-22)\/((-308)\/266) + 276. Let v = -4 - -4.2. What is the closest to -1 in 0.1, d, v?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2682706.5us to minutes.\nAnswer: 0.044711775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 7) to base 13\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10634415 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2334310469?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -296*v. Let r(j) = -j**2. What is r(u(f))?\nAnswer: -87616*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l - 40. Let a be g(-26). Suppose a*s + 30 = -6. Which is smaller: 3 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dhgliihslhghh. What is prob of sequence hh?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**9)**(3\/14)\/(m**(-12)\/(m**(-19)\/m)) assuming m is positive.\nAnswer: m**(-85\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -1\/9, -1\/6, 615, -0.3 in descending order.\nAnswer: 615, 0.5, -1\/9, -1\/6, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 + 1)\/(3\/(-12)). Suppose b + 3*b = s. Put 1, -1, b in decreasing order.\nAnswer: b, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 403 divide 60582187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 2*s + 466 = 0, -5*a + 3*s + 780 = -2*s. Let f(p) = -30*p + 139. Let g be f(8). Let c = g + a. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 122 - -62. Calculate the remainder when t is divided by 62.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j - 3*j + 4*j)*(0 + 5 - 6)*((3*j**2 - 2*j**2 + j**2)*(-j + j + 2*j) - 2*j**3 - 3*j**3 + 4*j**3 - j**3 + 3*j**2 - 3*j**2).\nAnswer: 2*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -514672, -514675, -514692, -514729, -514792, -514887, -515020?\nAnswer: -515197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -43772807*k**2. Let u(h) = 2*h. Determine d(u(x)).\nAnswer: -175091228*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10183.043 and 15.\nAnswer: 152745.645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-15)*3\/(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (46*v**2 - 175*v**4 - 46*v**2)*(-2*v + 5*v + 0*v + 5*v - 2*v + 0*v + (-2*v + 0*v + 4*v)*(0 + 1 - 3)).\nAnswer: -350*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xhhhhxhhhhhxhh. Give prob of picking 4 h.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 268664560 to the nearest integer?\nAnswer: 16391","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 1:15 PM?\nAnswer: 12:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 10*x - 3056. Let i(f) = 3*f - 2. Calculate s(i(p)).\nAnswer: 30*p - 3076","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 - 32 = -8*u. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}