diff --git "a/data/dm_maths/full_data_1/10831_11255.jsonl" "b/data/dm_maths/full_data_1/10831_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10831_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Suppose -4*v = 3*c - 266, 2*c = 4*v - 156 - 100. List the prime factors of v.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 8308 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1671941 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-6\/5)*d*d*d\/(d\/d**(1\/16)*d))**(-4)\/(d\/(d**(-3\/10)\/d)*d**(2\/25))**(-24) assuming d is positive.\nAnswer: d**(5767\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of -631*p**5\/60 + 221*p**4\/6 - 97*p**2 + 3. Find the second derivative of h(w) wrt w.\nAnswer: -1262","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -8 + -8 + 10\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 13 = 4*g - 3*g, 5*g = -c - 27. Let h = c + 5. Suppose -2*o - 2*t + 10 = o, -2*o = h*t. Calculate the highest common factor of 3 and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 206408051?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -134 + 110. Let w = j + 46. Calculate the greatest common factor of w and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of -b**7\/315 - b**6\/90 + 47*b**5\/90 + 19*b**4\/3 + 32*b**3 - 36*b**2 + 6. Let f(l) = 0. What is l?\nAnswer: -4, -3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 85 - 84.7. Suppose -2*g + 2*v = 3*g + 13, 2*g - v + 6 = 0. What is the third biggest value in l, g, 0.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23459732*0.5\nAnswer: -11729866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**2 - 2*g**2 + 2*g**2)*(-g**2 - 2*g + 2*g + (-2*g + 0*g - g)*(-8 - 2*g + 8)).\nAnswer: 5*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 408 - 95. Let d = -313.00000596 + s. What is d rounded to six dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3357*s = -3350*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q + 3. Let w(c) = -2*c - 7. Let g be ((-90)\/120)\/((-2)\/(4*4)). What is g*w(h) + 13*s(h)?\nAnswer: h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u**(-1\/19)*u)*u\/(u*u*(u\/u**(-5\/6))\/u*u*u)*u*u*u)\/((u\/u**(-2\/5)*u)\/((u\/u**(-16))\/u)) assuming u is positive.\nAnswer: u**(7307\/570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2, -3\/4, 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -4*w. Let k(l) be the first derivative of -3*l**2 + 9. What is k(f(o))?\nAnswer: 24*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ufiuuuffiiiuiuuffiiu. Give prob of picking 2 i.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -409\/88 or -6?\nAnswer: -409\/88","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccckkcw. What is prob of picking 1 w and 1 c?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4588 (base 10) in base 16?\nAnswer: -11ec","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((w + 4*w - 3*w)*(-3 + 3 + w) - 3*w**2 + 0*w**2 - 2*w**2)*(-w + 2*w**2 + 3 - 3).\nAnswer: -6*w**4 + 3*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1559383 - -2679381. Suppose -1167211 = -3*i - 2*b - 327207, 0 = -4*i + b + w. What is i rounded to the nearest ten thousand?\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.387706245 rounded to four decimal places?\nAnswer: 0.3877","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -652, -642, -604, -526, -396, -202, 68, 426?\n\"Answer: 2*h**3 + 2*h**2 - 10*h - 646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - 5*a**2 + a + 6. Let z be r(5). Suppose -q = 4*v - 31, 5*q - 11 = -v + z. Solve 4*x + 4*k + 12 = 0, 4*k - v = 2*x + 11 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand h + 0*h + h + (-5*h + 4*h - h)*(1 + 3 - 5) - 4*h + 8*h + 0*h + (2*h - h + 5*h)*(-1 - 1 + 4) + (0*h - h + 2*h)*(1 + 3 - 2).\nAnswer: 22*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(120)\/sqrt(2)*-2)\/(sqrt(60)\/(sqrt(60)\/(sqrt(12)*1))).\nAnswer: 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 321*l - 96 = 305*l for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a**4 - 4*a**4 - a**4)*(3 - 1 + 2) - 3 + a**4 + 3 + (2*a + 2*a**2 - 2*a)*(a**2 - a**2 + 2*a**2) + (3*a**2 + a**2 - 2*a**2)*(-11*a + 11*a - 9*a**2).\nAnswer: -45*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 383?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + -1 + 30 + -2 + (-428 - -370).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 3*r + 4*o, -4*o - 12 + 4 = -2*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*k - 48 = -5*j, 3*k - 321*j = -636*j + 318*j - 12 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*x**2 - 676*x - 19935 - 19929 + 39862 to u*x**2 + c*x + o and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zqm when three letters picked without replacement from {m: 1, z: 3, q: 2, i: 3, l: 1, e: 2}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.113 - -0.11456. Round m to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -180 - -340. Let s = b - 148. What is the lowest common multiple of s and 21?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 50*z**3\/7 + 32570*z**2\/7 - 54694*z + 1115166\/7.\nAnswer: 2*(z + 663)*(5*z - 29)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3486266542?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 156 by -2.\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 2*j - 176 = 0, t + 3*j = 2166 - 2178. Let k = 178 - 97. What is the greatest common divisor of t and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -920 - 41*d + 916 + 16*d. Suppose 2*w = -0 - 4. Is a(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 201 (base 3) to base 2\nAnswer: 10011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 3:38 PM?\nAnswer: 2:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1 - ((-81 - 10) + 41)\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 5.06. Let u = -0.03 + s. Suppose 5*g - 5*o = 0, -107 = 4*g - 5*o - 110. What is the second biggest value in u, 2\/7, g?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 - -1378839236\nAnswer: 1378839235.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2845 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*t + 2738 = 85*t + 4*l, l - 5420 = -2*t. Calculate the highest common divisor of 484 and t.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (69 - (13 + 3)) - -20\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1397 divided by 11?\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l**3 + l + 15. What is y(3)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15.9 - -8.9. What is the closest to -0.1 in 4, t, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 4*c = -112. List the prime factors of c.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 5 (c) 4 (d) -5611290 (e) 1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1956?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from umoumuiiumuibmuubbom. What is prob of picking 1 u, 1 m, and 1 b?\nAnswer: 7\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 580 = -5*q, -r - 5*q + 91 + 5 = 0. Let h = -971\/8 + r. Let o be (-2)\/(-6) - 8\/6. Which is the nearest to -1? (a) h (b) 3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1919 is divided by 109.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/24 + (-770)\/(-12). Suppose 2*v + 2*v + r = 4*z, 3 = z. Let s = v + 19. Calculate the smallest common multiple of 7 and s.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2205 = -2*x, -2*l + x + 11052 = 3*l. Let d = l - 364. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + q**2 - 1)*(-2*q + q**2 + 2*q) - 35 + q**4 + 6*q**4 + 40 to x*q**3 + y*q + r*q**2 + p + u*q**4 and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j + 0*j - j**2 + (-328*j + 4087 - 2039 - 2047)*(-4*j + j + 4*j).\nAnswer: -329*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 7820*r. Let o(c) = 3290*c**2. Calculate o(t(u)).\nAnswer: 201191396000*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-2)*(-524)\/6. Let d = -91 + w. Is d a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -1. Suppose 0 = 5*w - o - 200, 0 = -2*o - 2*o - 20. Suppose 4*k - 5*t - w = 0, -4*k + t + 21 = -k. What is the smallest common multiple of m and k?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of u**4\/24 + u**3 - 2*u**2. Let d be q(-6). Solve y = -d*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*c + 23*j - 20*j + 14 = 0, 2*j = -10*c + 28 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 33.4440854 (b) -0.2 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -100 - -97. Is n >= -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/11627 and -127\/210.\nAnswer: 348810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 45*t**3 + t. What is i(-1)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*g - 54 = 78*g. Let m be (-216)\/(-54) + (74\/g)\/(-1). Which is the fourth smallest value? (a) -0.05 (b) 4 (c) m (d) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -11*w**2 + 44*w + 236. Let f(s) = -6*s**2 + 21*s + 120. Let h(j) = -5*f(j) + 3*v(j). Solve h(d) = 0 for d.\nAnswer: -3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: 335623 (base 8) to base 10\nAnswer: 113555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 32, 28, 22, 14?\n\"Answer: -w**2 - w + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-256)\/(-282112))\/(2\/(-38))?\nAnswer: -1\/58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvvlvlvlvvvvlvlvv. Give prob of sequence lvvv.\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -152, -3 in decreasing order.\nAnswer: -3, -5, -152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -358585366 plus -9?\nAnswer: -358585375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1261450323 + -14?\nAnswer: 1261450306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*d**2 + 49*d**2 + 48*d**2 + 19*d - 2*d.\nAnswer: d**2 + 17*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -10*r**2 - 525*r - 293. What is b(-52)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -86*w + 140. Give k(5).\nAnswer: -290","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**3 - 110*j**2 - 700*j - 1000.\nAnswer: -5*(j + 2)*(j + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 1 - 15 = 0. Suppose k = -4*h + 6*h. Solve 2*s = -4*r - 2, 3*s = 2*r + 1 + h for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13\/((-143)\/55))\/(1*6).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 157.2 - 157. Let f be -1*(-2 + -2) + -9. What is the smallest value in 2\/21, f, z?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1, 7, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*f + n, -5*n = -16*f + 20*f + 16. Let t be (-2 - 18\/8)\/((-39)\/12). Which is smaller: f or t?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -23*x + 138. Let z be d(6). Solve z = 5*a - 0*h - 3*h - 9, 3*a + 4*h - 17 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1208242?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -2*-2*(sqrt(99) - (0 + (2 + sqrt(99) - sqrt(99))))*-3*2)**2.\nAnswer: -7488*sqrt(11) + 59728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -3721.74?\nAnswer: -372.174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 283 is divided by 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/234 and -7\/496938.\nAnswer: 1490814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 448\/672*(-9)\/(-12)*2*(-87)\/3?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10 + 3 - (5 - -4)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(50)*-1*-1*5)\/(sqrt(10) + (sqrt(240)\/sqrt(4))\/sqrt(6) + (sqrt(90) - (sqrt(90) - (sqrt(90)*-1 + sqrt(90))) - sqrt(10))).\nAnswer: 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 PM and 1:14 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1100) + 3 + -1 + sqrt(11) + -5 - (5 + (sqrt(704) - (2 + sqrt(704) + 0 - sqrt(704))))**2.\nAnswer: -716 - 37*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 12 = 38. Let s(m) = m**3 - 2*m**2 - 17*m + 4. Let n be s(5). Let p = n + 15. Which is greater: t or p?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -177*s**2. Let m(x) = 15*x**2 - 3. What is m(n(y))?\nAnswer: 469935*y**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - 4*i**2 + 6*i + 3. Let j be n(-5). Let a be (1 - -11)*j\/(-4). Let g be 3 - 3 - (-23 + -2). Solve 5*t + g = 4*m, -5*m + t = -a + 1 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 5, u: 13}. Give prob of picking 4 u.\nAnswer: 143\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00024599 to six decimal places.\nAnswer: -0.000246","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 31, 3, -5 in decreasing order.\nAnswer: 31, 3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**3\/10 + 25*i**2 - 743*i\/10 + 247\/5 = 0. Calculate i.\nAnswer: 1, 2, 247","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = -3*k + 9. Is 20 a factor of (4 + k)\/(2\/106)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r + 11. Let a be g(5). Suppose -14 - 4 = -a*t. Suppose 0 = t*z - 6*z - 27. What is the third smallest value in -4, z, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 7282269349?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 + -12 - 32 - (0 + 3)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -386 * -4.\nAnswer: 1544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 2*b - 458 = 0, -4*b = 5*t + 176 - 755. Suppose -467 = -25*l + 3558. Calculate the highest common factor of l and t.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9*110\/90 - (-196)\/(-18)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.07216 - 0.0269. Let j = n + -0.0397. Round j to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12629?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p - 27087 + 231273 = 0. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.264 + -0.036. Let n = -0.1 - 0.1. Which is the nearest to n? (a) -2\/9 (b) j (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53364, -52885, -52408, -51933, -51460, -50989?\nAnswer: -50520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 AM and 10:08 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-36)\/198 + 504\/(-11). Let p = -30 + 0. Let y = p - b. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110220320 (base 4) to base 8.\nAnswer: 245070","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -497 (c) -5 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -142 - -147. Let s be ((-1)\/v)\/(24\/(-40)). Factor 0 + s*g**3 + 4\/3*g**2 + 4\/3*g.\nAnswer: g*(g + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*i**3 + 41 - 218*i + 22*i**3 - 10*i**3 + 218*i.\nAnswer: -3*i**3 + 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 + 6*n**2 + 23*n + 108. Let k be z(-5). Let y be (-1 - (-1 - 15)) + 1. Let f = k - y. What is the smallest common multiple of f and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-1)*5\/(-10)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 249270 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 44, 1, 0 in decreasing order.\nAnswer: 44, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 205297228*a**2*f*o - a**2*o - a*f*o - 1781*a*f - 409*a*o - 2*a + 2*f*o - 2*o - 1 wrt a.\nAnswer: 410594456*f*o - 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10368 by -9.\nAnswer: 1152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) -0.3 (c) 41739 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2951 = 3*m + 2021. Calculate the remainder when m is divided by 108.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*i + 3*q + 4 = 22*i, i - 29 = -17*q for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -16 + 2*d + 5*d + 4. Let x be (-81)\/(-15) - (-4)\/(-10). What is the tens digit of r(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-14) + 31552\/(-15232).\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s + 5. Let a be h(-5). Suppose a*p - 5*p = -10. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14892744?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3540 (base 6) to base 15.\nAnswer: -3bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -2700 to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(44\/(-2292)) + 3. Let z = q + -17596\/319. What is the third biggest value in z, 3, 0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -7 - (68 - 61)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -111900440 divided by 2.\nAnswer: -55950220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 u when three letters picked without replacement from iuizddl.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/118800 and 53\/5436750?\nAnswer: 391446000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 39936769 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9358 by 2.\nAnswer: -4679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 14650, 14676, 14694, 14704?\n\"Answer: -4*x**2 + 38*x + 14616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 80 + -65. Solve 12 - 2 = -5*p + 3*c, 4*p + w = c for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -2*g + g + 3600, -5*k - 2*g = -18009. List the prime factors of k.\nAnswer: 3, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -1 + -1*((-1*sqrt(200)*5 + sqrt(200) + sqrt(200))\/sqrt(10))\/(sqrt(32)\/(sqrt(128) + 2*sqrt(128))).\nAnswer: 36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 124.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 3452 = 4*l, -4*f = f + l - 4323. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*q + 3*q + 27*q)*(-3*q**3 + 2*q**3 - 4*q**3).\nAnswer: -55*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 37179, 74359, 111539, 148719, 185899?\n\"Answer: 37180*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -564, -2099, -4582, -7989, -12296, -17479, -23514?\nAnswer: -30377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -36*b**4 + 104*b**3 + 876*b**2 + 1104*b + 112 = 0. Calculate b.\nAnswer: -2, -1\/9, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -1900.\nAnswer: -1\/950","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -35985*p - 5793587. Give u(-161).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -211, -619, -1319, -2305, -3571?\n\"Answer: y**3 - 152*y**2 + 41*y - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.525 - -0.525. Which is the second smallest value? (a) 2 (b) 11 (c) -3\/8 (d) 12 (e) i\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 141654 (base 10) to base 4.\nAnswer: 202211112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 324935723 to the power of 1\/4, to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 + -23. Which is the biggest value? (a) l (b) -0.8 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - -19 - -6 - 26?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*u - u + 3*u + (-u + 0 + 0)*(1 - 3 + 1) + 4 + 2*u - 4 + (-1 + 4 - 4)*(u + 3 - 3) - 2 + 2 + 2*u + u + 4*u - 4*u + 5 - 5 + 3*u to t*u + q and give t.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 11, 3\/5, -71, 3\/25?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f = -11 + 32. Suppose 4*v = 3*v + f*v. Suppose -3*s - 5*b - 30 + 104 = v, 0 = -2*b + 8. Calculate the highest common factor of s and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 - (30 + (13 - 40))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1945395 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**4 - 400*z**3 - 8736*z**2 - 50688*z.\nAnswer: -2*z*(z + 12)**2*(z + 176)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + -56?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18396767 to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142391.\nAnswer: 142391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (6\/9 - (-28)\/(-42)) + (3 - -2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -391 + 198. Let a = v + 179. Let i = 5 + -18. Is a at most as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 528*h - 3258*h + 14283 = -26803 - 10784 for h.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 7*a + 48. Let j be x(-6). Solve -2*o + 0*o = j for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 11720?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.09 - -0.21. Let q = -0.01 + -0.29. Suppose 0 = -9*u - 138 + 84. Sort o, 5, q, u in increasing order.\nAnswer: u, q, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-400)\/(-504) + 40\/(-70))*369. What is the greatest common factor of 2911 and u?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 8) to base 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11584 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(2\/3)*i*i*i**(1\/5)*(i*i\/(i**(-1\/10)*i))\/(i*i*i*i*i*i**(2\/11)*i*i*i)*(i**4*i**0\/i)**(-49) assuming i is positive.\nAnswer: i**(-49901\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 2484554?\nAnswer: -9938216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.178 and 3.\nAnswer: -0.534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 72047?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11 + 324?\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34*k**2 - 7588 + 3787 + 3796 to the form w*k + f*k**2 + h and give f.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-165 - -174) + (1 - (-1 + -132)) is divided by 31?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/(-5))\/((-3)\/(-30)). Suppose 8*o - 3*o + i - 14 = 0, 2*i + 2 = 5*o. What is the units digit of o + 2\/v*-2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 52*t**2 - 18*t + 11. Is u(-13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 3*r**3 - 120*r**2 - r + 36. Determine j(40).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 + (-8)\/4 + -3*1. Let p be t - -2*(-7)\/(-8). Which is the third biggest value? (a) 0.3 (b) p (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -k**3 - 57915*k**2 + 69947*k.\nAnswer: -6*k - 115830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4653 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -6500.652113 rounded to the nearest one hundred?\nAnswer: -6500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 628?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + 2 - 17) + (-21 - -31) + -10?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 0.4, -2\/7, 0.2, -46, 0?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -290 - -4202. Suppose -18*n - 600 + t = 0. List the prime factors of n.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -101*a**2 + 336*a - 285. Let y(d) = d**2 - 1. Let j(i) = -2*i**3 + 9*i**2 - 2*i - 5. Let p be j(4). Let l(o) = p*y(o) + s(o). Factor l(t).\nAnswer: -2*(7*t - 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 3158.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a hour in minutes?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-6))\/(-6*(-6)\/27)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q - 4*q + 400 = 0. Suppose x - q = -33. Suppose 27 - 1 = 2*f. Calculate the remainder when f is divided by x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of 247*l**8\/336 - l**6\/60 + 117*l**4\/2 + 8*l**2 + 78. Find the second derivative of b(k) wrt k.\nAnswer: 4940*k**3 - 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 675 + 541 = -19*t. Let f be (78\/65)\/(2 - t\/(-30)). Sort f, -2, 0 in descending order.\nAnswer: 0, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 9:17 PM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 524 - 516. Let x be ((-10)\/g)\/(-5)*(-91 - 35). Which is greater: -31 or x?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5134375 divided by -5?\nAnswer: -1026875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 234 and 1377.\nAnswer: 35802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (34 + -33)\/(1\/(-25)). Let c = 8 - 4. What is the tens digit of 50\/c*(-90)\/n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 3 = -2*l + 4*l, 3 = 2*v - l. Calculate the smallest common multiple of 8 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -8, 3, -18, -4, -3, 103\/2.\nAnswer: -18, -8, -4, -3, 1, 3, 103\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 49 = -0*n + 3*o, 0 = n - 5*o + 7. Suppose -3*k - 65 = -n*k. Is 10 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -3*c**3 - 4*c**2 - 5*c**3 - 1 + 7*c**3. Let a(b) = 2*b**3 + 5*b**2 + 1. Calculate -2*a(f) - 3*l(f).\nAnswer: -f**3 + 2*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 20780 = -2385. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(475) + -1.\nAnswer: -2 + 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4354, -9, 5, -5, -2, -4, -3.\nAnswer: -9, -5, -4, -3, -2, 5, 4354","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -33 + 55. Suppose 0 = 3*x + x - 220. Calculate the greatest common factor of l and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 253952141 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 3699, -7 in descending order.\nAnswer: 3699, 3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-128)\/56 + (-4)\/(-14). Put 5, -4, l, -8 in decreasing order.\nAnswer: 5, l, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36684 greater than or equal to 36689?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 84*q + 831. Let g be c(-10). Let h(r) = r**3 + 8*r**2 - 11*r + 7. Determine h(g).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4637659?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 85, 100, 109, 106, 85, 40?\n\"Answer: -c**3 + 3*c**2 + 13*c + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2049295.\nAnswer: 5, 61, 6719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of -l**4\/3 - 7*l. Let c(b) = -b + 1 - 1. Calculate c(o(q)).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 + 9*v**2 - 8*v + 2. Let l be m(8). Suppose 4*u - u - 4*o + 10 = 0, 3*u + 4 = -l*o. What is the units digit of 27 + -2*u\/(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29207451 divided by -4\nAnswer: -29207451\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 33\/17? (a) 2\/13 (b) 5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1366 - 1332 = 3*o + 4*b, 2*o = 4*b - 4 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 5, -3, 0, 1275, 1 in decreasing order.\nAnswer: 1275, 12, 5, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2185*p*w + 38114*w wrt p?\nAnswer: -2185*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of k*l + 172*k - 72*l - 1 wrt k.\nAnswer: l + 172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1726 - 1722. Solve -o + 5 = 2*m - z*m, -m = 4*o - 20 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15241 + -13583. What are the prime factors of u?\nAnswer: 2, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = -20, 471*j = -3*r + 472*j - 11 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 6 = 3*m, 5*m + 10 = 497*q - 495*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 21884799 and -1264738.7?\nAnswer: 23149537.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 26 - (-1 + 5)*14\/(-28). Suppose z + 6*z - o = 0. Solve -4*m + z*r = 4 + 12, 0 = 2*r - 6 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 - 16*v - 32. Let t be c(-13). Suppose -t*z + 15*z = 2776. What is the hundreds digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = -2*i, 0 = 2*i + 5*b + 2 - 8 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.4774 + 9.5226. Let q = -20 + 16. Let m be (q\/(-15))\/((-2)\/5). Which is the third biggest value? (a) 2 (b) m (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2349 is divided by 32.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 23 = 37. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 6:28 AM?\nAnswer: 2:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of -w**4\/8 + 233*w**3\/3 - 465*w**2\/4 + 2871. Suppose s(q) = 0. Calculate q.\nAnswer: 0, 1, 465","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 PM and 1:57 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 54 and 27.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52000, 105338, 158674, 212008, 265340?\nAnswer: 318670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1641?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 50088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 AM and 8:08 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1085.\nAnswer: 5, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wq when two letters picked without replacement from xqqqkqqkkwkkkqk.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 44 and 26221624?\nAnswer: 26221624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 26*n + 8. Let d be l(-4). Let p be 0\/2 - d*(3 + -1). Suppose -p - 189 = -3*c. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 554.342 to 0 dps.\nAnswer: 554","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 496527203 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/524 and -44\/7.\nAnswer: 3668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 6*n - 11*n + 9*n**2 - 1 + 4 - n**3 - n**2. What are the prime factors of d(6)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.7730804 hours in weeks?\nAnswer: 0.01055405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 - 5 + 24 - k in the form y + p*k and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2*o**2 - 13*o + 2. Let u(t) = -t**3 - 7*t**2 + 11*t + 18. Let q be u(-8). Let n be b(q). Suppose 0*z = 4*z - n. Solve v + z = 2*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2516253*s**2 - 240663*s - 1 wrt s?\nAnswer: -5032506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - ((-4)\/2 - -4))*-27. Let u be (-3 + g\/7)*(2 - -5). Let w(o) = -o**2 + 8*o - 4. Let i be w(u). Solve i = -5*b + b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -65, -232, -409, -602, -817, -1060, -1337?\n\"Answer: -b**3 + b**2 - 163*b + 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 5752 divide 1539826804?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of 0 + 13\/210*a**7 + 0*a + 0*a**5 + 10*a**2 + 0*a**6 + 0*a**3 - 5\/24*a**4. What is the second derivative of d(l) wrt l?\nAnswer: 156*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (3 + -1 + sqrt(2448) - -1*(sqrt(2448) + sqrt(2448)*4 + sqrt(2448) + sqrt(2448))))*3.\nAnswer: 9 + 288*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 + 10 + 19 + -13.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 66? (a) 3 (b) -1 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14757329?\nAnswer: 23, 641623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-403389)\/7077)\/(1\/(-6)*-9).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 AM and 8:38 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 109 + 40?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -129? (a) 2 (b) -4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 38 + 59 = -a, 4*a - 48 = -4*r. Solve 2*v - 22 = 3*n, -n = v + 3*n + r for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -72851, -72772, -72649, -72488, -72295, -72076, -71837, -71584?\nAnswer: -71323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1576, 3195, 4856, 6559, 8304, 10091?\nAnswer: 11920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7269 is divided by 2396.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together -214188 and 12.9753.\nAnswer: -214175.0247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 5*y = -35, 7 = 3*q + 8*y - 12*y for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 428340 and 31152.\nAnswer: 1713360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -4*s - 43. Let m be n(-13). Let q(x) = x + 1 + 11 - 2 + m. Let h be q(-14). Solve 0 = 5*i, -2*i + 21 - 6 = h*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -429459 (b) -4\/5 (c) -2 (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 20 (b) -0.5 (c) -8\/7 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 278, 553, 828, 1103, 1378?\n\"Answer: 275*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.03 + -0.08. Let p = 0.0469 + m. What is p rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 242895.\nAnswer: 3, 5, 16193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13088 and 304.\nAnswer: 248672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of -5\/2*u**2 + 0*u + 5\/2*u**3 - 5\/8*u**4 - 7. Factor n(r).\nAnswer: -5*r*(r - 2)*(r - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3, 0.3, -1\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3\/11 - 2*n**2\/11 + 32*n\/11 - 40\/11.\nAnswer: -2*(n - 2)**2*(n + 5)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 - (4 + 5 + 10).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20.4 - 20. Let j be 0 + (-1 - (-7)\/9). Put -2\/7, j, m in descending order.\nAnswer: m, j, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 + 11*t + 7. Let w be p(11). Let a(o) = o**3 + 6*o**2 - 7*o + 3. Let c be a(-7). Suppose c*u = 26 - 8. Which is bigger: u or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124.8 smaller than 1.882?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -3.02. What is the closest to 1 in b, 0.2, -1\/9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13587 and 25330050?\nAnswer: 177310350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000944740326 to 6 dps.\nAnswer: 0.000094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/254040 and -59\/4320.\nAnswer: 9145440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((17 - 50) + 34)\/(3 + (-145)\/50)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 4*((sqrt(343) - (1 + sqrt(343) + -5)) + (sqrt(343) - (sqrt(343) + -3))*3)*1)**2.\nAnswer: 2916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 364 and 14896154.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9509, -9650, -9885, -10214, -10637, -11154, -11765?\nAnswer: -12470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*l**2 + 4*l**2 - 3*l**3 + (-l + 2 - 2)*(0*l**2 - 3*l**2 + l**2))*(5 - 3 + 0) as z*l**3 + f + n*l + h*l**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 540\/(-126)*-3*(-84)\/(-30)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2302 = -176*z + 162 for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -30*c. Let f(u) be the first derivative of -27 + 0*u - 2\/3*u**3 + 0*u**2. Give f(p(o)).\nAnswer: -1800*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/205040895 and -8\/324603.\nAnswer: 615122685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 + -18.92. Let y = j - 0.0800112. Round y to 6 dps.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - n = 44, -3*c - 13 = -4*c + 2*n. Suppose 2*t = -4*s + 1930, 4*t + c = -t. Does 22 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 26.22 + -5.12. Let d = z + -22. Let o = -199\/329 - -15\/47. Which is smaller: o or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 + 5*f - 8. Let p be b(-6). Let h be 2 + (0 + 0)\/2. What is the closest to 1 in -1, h, p?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + 246*t**2 + 6482*t - 510. Calculate u(270).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -14.75 from -1254.\nAnswer: -1239.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**3 + 10035*z**2 - 6713415*z + 1497091545.\nAnswer: -5*(z - 669)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -14493 (b) 3 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 29226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (0 + -1 + -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -42320 (base 5) in base 15?\nAnswer: -c90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/5 or 0.76238371?\nAnswer: 0.76238371","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 114421, 228826, 343231, 457636, 572041?\nAnswer: 686446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 598046.1us?\nAnswer: 0.009967435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2511.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9899624?\nAnswer: 2, 7, 176779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28447871?\nAnswer: 89, 319639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -2) + 6 - 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65531 = -n - 18*n. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u = 14*u - 8. Suppose -3*k - u + 8 = 0. Suppose -8*r**3 - 3*r**3 + 12 + 3*r**3 + 16*r - 20*r**k = 0. Calculate r.\nAnswer: -3, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 135\/(-72)*(-4)\/(-10)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.007 * 0.533\nAnswer: -0.003731","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from jffffjffjfjffj.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -747*i - 43. Is c(-10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/457 and -43\/1425383?\nAnswer: 1425383","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 30\/(-12)*-6*(-174)\/(-10). Let s(z) = -3770*z**2 + 261*z. Let j(y) = -29*y**2 + 2*y. Determine k*j(u) - 2*s(u).\nAnswer: -29*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 9.043636 centuries?\nAnswer: 0.9043636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5192 is divided by 1214?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -135812548 or -407437648\/3?\nAnswer: -135812548","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -77873.176885 - -77873. What is v rounded to two decimal places?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*y - 36 = -90. Let i be (3 - 1) + (5 - 2). Suppose -y*p + 96 = i*t, -4*t - 240 = -2*p - 3*p. Calculate the highest common factor of 12 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9036901.\nAnswer: 9036901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5\/(-4))\/(4\/(-80)). Suppose x + 4*t = -t + b, 5*t - 35 = -3*x. Suppose 3*j - 4*c = -0*j + 80, x = 5*c. What are the prime factors of j?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 617, 1230, 1841, 2450, 3057, 3662?\n\"Answer: -u**2 + 616*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1408)\/(-112) + (-15)\/14 + (-1)\/(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14605402.\nAnswer: 2, 7, 31, 73, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*b - 3138*b**2 - 40*b - 37*b + 110*b.\nAnswer: -3138*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 20411 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 885 and 39?\nAnswer: 11505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*v**3 + 1\/2*v - 23\/4*v**2 + 0.\nAnswer: v*(7*v - 2)*(8*v - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -94135611*n**4 - 2*n + 102050933?\nAnswer: -1129627332*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 3 + (sqrt(12)*-2*1)\/(sqrt(864) + sqrt(864)*-2) + -1.\nAnswer: sqrt(2)\/6 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 PM and 1:36 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 2 = -q + 5, -24 = -2*l - 4*q. Suppose 2*b - 671 = -l*b + 3*a, b - 162 = -5*a. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by 99.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 258*k + 181256 = 276416 - 1686504. Are k and 2\/3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 j, and 1 u when three letters picked without replacement from nsjluqquuqns.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 694286581?\nAnswer: 19, 4057, 9007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 27 divided by -18073\nAnswer: -27\/18073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21101200001 + -12?\nAnswer: -21101200013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of -r**6\/120 + 13*r**5\/60 - 2*r**4\/3 - 21*r**3\/2 - 99*r**2. Let l be x(11). Solve 0 = -t - 4*n + l, t - 12 = -3*t + 3*n for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8252766 and 1458?\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -17222 times -0.1\nAnswer: 1722.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/((-154)\/(-4))*(-105)\/(-555)?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -28 divided by -2\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 54*v + 15 = -49*v, -2*v + 6 = -11*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -34 - -1436074?\nAnswer: 1436040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 8*z - 51. Let b be v(7). Solve 2*c = 0, -2*c = b*p - 3*c - 10 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 4*i + 2*i = -6, -z - 9 = -3*i. Suppose r = 6 - 2. Suppose -f = 2*l + 4 - 2, -4*l - 4 = -r*f. Solve z = -f*v + 3*v - 12 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23687 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 76 (base 9) to base 11\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 308707351 and 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((16\/4)\/24)\/(33\/(-44))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -31\/2 + 14\/3*f + 1\/6*f**2 = 0.\nAnswer: -31, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - ((3 - -25) + -6).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-8) + 9\/4. Let m(u) = u**2 - 3*u + 3. Let v be m(g). Let p(l) = 4*l**3 - l**2. Let z be p(1). Which is the closest to v? (a) 0.2 (b) z (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 42492.73 to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -9*t + 20. Suppose c + t*c - 25 = -2*w, -3*w = -c - 12. Find the second derivative of y**3 + 0*y**3 - 2*y + 2*y**3 + w*y wrt y.\nAnswer: 18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8212063 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -23*s + 44. Let z(f) = -34*f + 66. Let o(p) = -7*a(p) + 5*z(p). Differentiate o(w) with respect to w.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/i**(-6\/23)*i\/(i\/(i\/((i**20\/i)\/i))) assuming i is positive.\nAnswer: i**(-362\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 131, 518, 1163, 2066, 3227, 4646, 6323?\n\"Answer: 129*s**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 164687?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2736) + (sqrt(2736) - (-4 + sqrt(2736) + 0)).\nAnswer: 4 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003353 rounded to four dps?\nAnswer: 0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14\/61 + 389\/366. Is c at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w + 7. Let h be r(-7). Let q = 11 + h. Solve -2*a - l + 2*l = -8, -14 = -q*a + l for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.89142 months in decades?\nAnswer: 0.2574285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 82065 to the power of 1\/2, to the nearest integer?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*t + 24 = -15. Suppose g - 5 = -4*g. Let s be -300001 + t\/((-3)\/g). Round s to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w**2 + 75*w - 111. Give y(39).\nAnswer: -228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 10 = -2*v. What is the first derivative of 0*x + 0*x + 3*x - v - 2*x wrt x?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-332)\/8)\/((-1493)\/(-2986))\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 20 + 2170\nAnswer: 2190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27510 = 1677*h - 891*h for h.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -441*p + 15. Let j(u) = u**3 - 21*u**2 + 20*u - 11. Let f be j(20). Let k be m(f). Is 6\/(-4)*k\/(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17846 is divided by 51.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 909 is divided by 302.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s - 2*s - 380 + 5*s + 3274.\nAnswer: 3*s + 2894","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f. Let o(x) = -40*x**2 - x - 23. Let i(r) = -3*a(r) - o(r). What is the second derivative of i(k) wrt k?\nAnswer: 80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48)\/24*((-8)\/4)\/136*1?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 289457 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) -5 (c) 384\/5 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 545 and 21065.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j = -15*j + 176. Solve -2*f - f - y + j = 0, -2*f + 12 = 4*y for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45 (base 16) to base 15.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 92931459 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17.10899954378 + 17.109. Round k to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9653 smaller than 11555?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 12 = 3*p + 1, 0 = 3*p - 5*r - 5. Suppose -2*c + p = -c. Find the second derivative of 2*y + y - y**2 - 2*y - c*y wrt y.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162 - 252 = 5*m + 5*p, 3222 = -3*m - 201*p for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -5*i**2 + 202*i + 4002. Determine y(55).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 227770 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 711 and 144?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1433 - -2012. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j**(2\/11)*j*j**(2\/5)*j)\/(j\/j**(-2))**(2\/39) assuming j is positive.\nAnswer: j**(3166\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-1\/30))\/s**(2\/57)*(s**(6\/11)\/s)**(-4\/29) assuming s is positive.\nAnswer: s**(192911\/181830)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 8, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 4260*t - 226. Let b(k) = 8519*k - 454. Let u(x) = 3*b(x) - 5*r(x). Let p be u(-24). What is p rounded to the nearest ten thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 - 6*q**2 + 3. Let z = 0 + 3. Suppose 3*m - z = 15. Calculate f(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1122 and 1114 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*5*15\/(-3). Suppose 3*j + 2*v - 217 = -2*j, -j = 5*v - u. Calculate the highest common divisor of 5 and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (0 - -1) - (4 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1171437l to millilitres.\nAnswer: 117.1437","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, o: 2, b: 2}. What is prob of picking 1 b and 1 t?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r**3 - 23 + 23.\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8556 - 8554. Which is the closest to 0.01? (a) 1\/8 (b) -0.3 (c) 1\/2 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*v - 12*v = 5*y - 26, 0 = 17*v - 4*y - 28 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 38133 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: What is next in -114, -249, -400, -573, -774, -1009, -1284?\nAnswer: -1605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/5 + 62*l\/5 - 132\/5.\nAnswer: 2*(l - 2)*(l + 33)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of -154*u + u**2 + 1\/12*u**4 - 1\/6*u**3 + 0. Give c(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**4*f*(f\/(f*f**6))\/f)\/(f\/f**(-2))**(-17\/3))**(-3\/32))**(2\/11) assuming f is positive.\nAnswer: f**(-45\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5092\/(-9246)*207\/27.\nAnswer: -38\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 159908860049 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaakkmm. Give prob of picking 2 m.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/6 and 31\/106.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*(-4)\/(((-14)\/8)\/7). Let i be (-2)\/f + 8892\/(-288). Sort 2, 1\/5, i in decreasing order.\nAnswer: 2, 1\/5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*f**3*t**2 - 51675*f**2*t**2 - 7*t**2 - 90868 wrt f?\nAnswer: -21*f**2*t**2 - 103350*f*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2*2)\/((-4)\/8). Let x be q*(7\/2 - 3). Suppose 5*g - 19 = 3*p, 5*g - p = 19 + x. Solve -g = -o + 2*c, -3*c = o - 4*c for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1595776 and 546.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60 and 176070.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = q - 4*n, 4*n - n = -q + 7. What is the highest common divisor of q and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -184453, -368887, -553307, -737707, -922081, -1106423?\n\"Answer: z**3 + z**2 - 184444*z - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 88 - 269\/3. Let j = 0.6 + -1.3. Let s = -1.7 - j. Which is the second smallest value? (a) h (b) 1 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*m + 80 = 21*m. Solve o + m = u, -6*u + u - 4*o = -19 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(65)*2 + (sqrt(65)*2 + sqrt(65) - sqrt(65))*5)*6)\/((sqrt(720)*-1)\/(sqrt(9) + (2*sqrt(144) - sqrt(9)))).\nAnswer: -216*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 - -4) + (-15 - (-27 - -6))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 280\/3528*9*63.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 10) to base 8.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 - 38. Let y be 3\/(-6)*1\/(-8). Let n = -85\/176 - y. What is the common denominator of n and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29516, -59030, -88544, -118058, -147572?\nAnswer: -177086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = u + 104, 0 = -4*q + 3*q - u + 16. Suppose -4*c = 4*l - 64, -6*c + 8*c - q = 4*l. What is the remainder when 5*(16\/4 + 4) is divided by c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277723 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: What is the highest common factor of 49 and 65562?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s - 11. Let c be g(7). Suppose 0 = -5*z + 2*f + 17, 3*z - 5 = c*f - 2. Solve -k - 8 = 3*q + k, 5*q + 5 = z*k for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*z + z**2 - 6*z - 7*z**2 + 3*z**2 - z**2 + (-2*z + 2 - 2)*(-z + 4*z - 2*z).\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -191*z - 16 = -199*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/98*(2475\/(-110))\/(-45)\nAnswer: -4\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -296971229085 from -7.4.\nAnswer: 296971229077.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 36 = -5*r, -17*r - 3*d + 37 = -22*r for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190 = -131*k + 254*k - 85*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d**2 - 2*d**3 + 3*d**3 + 0*d**3 - 2*d + 6*d**2. Suppose -4*l = -5*g + 20, 14*l = 16*l - 3*g + 10. Determine x(l).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 17 = 4*w, 4*r + 8 = r - w. Which is the closest to 1? (a) 0.01 (b) r (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 9 = -4*k + 3*k, 3*b + 3*k = 9 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**(3\/2)\/r)\/r)**(4\/17))**45 assuming r is positive.\nAnswer: r**(90\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of 1\/18*a**4 - 6 + 4\/9*a + 0*a**3 - 1\/3*a**2. Factor n(v).\nAnswer: 2*(v - 1)**2*(v + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*n = 55*n - 90. Let o(r) = -12*r - 79. What is the remainder when o(n) is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + -6*1*sqrt(76))\/(sqrt(144)*2)*1.\nAnswer: -5*sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 2)*(0 + 0 - 2*a)*(-32 - 27*a**2 + 32) - 8*a**3 + 35*a**3 + 9*a**3 + (-4*a - 1 + 1)*(3*a - a**2 - 3*a).\nAnswer: 94*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do -1007 and 3\/4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -41 > 13\/74800?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -20.6939+7772.9\nAnswer: 7752.2061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 - 3*o**2 + 2*o + 7. Let y be ((-2)\/6)\/(13\/(-234)). Let l be q(y). Suppose -2*i - 53 + l = 0. Calculate the remainder when i is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 + 4*d + 17. Let c be k(6). Suppose 3*q + 7 = -w - 8, -c*w = -2*q + 109. Let m = 20 + w. Is m greater than 2\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 10293?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1073 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2580 plus 0.5?\nAnswer: 2580.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 9671 (base 13) to base 14\nAnswer: 7875","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -2*l + 21, 3*v = 5*l - l - 81. Let w be (l\/(-4))\/((-3)\/2). Sort 1, w, -4 in decreasing order.\nAnswer: w, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9528, 9519, 9498, 9459, 9396, 9303, 9174?\nAnswer: 9003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000528498092 rounded to seven dps?\nAnswer: -0.0005285","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b**3 + b**3 + 39*b - 12*b + 34*b in the form k*b**2 + a + f*b + o*b**3 and give f.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of w**5\/4 + w**4\/6 - 7*w**2. Find the second derivative of s(k) wrt k.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m**3 - 6*m**2 - 8*m + 1. Let t(w) = w**3 - 5*w**2 - 7*w. Let p(k) = 3*f(k) - 4*t(k). Does 9 divide p(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4720365004.\nAnswer: 2, 769, 1534579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4353 - 52153\/12. Calculate the common denominator of m and 19\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -513*f - 331*f + 4232 = 856 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 17 (base 11) to base 7\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -9*p - 2. Let m be g(2). Is (-162)\/(-8) + (-15)\/m a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of 5\/12*g**4 + 0 + 250*g**2 - 55*g - 50\/3*g**3. Suppose x(s) = 0. What is s?\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m + m + 3*m - 6*m + 4*m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*t**4 + 19*t**4 + 20*t**3 + 5*t - 3*t**3 + 12*t**3 as j*t**2 + y*t**3 + i*t + k + u*t**4 and give y.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*s - 90 = 126. Solve 3*p = s*p - 20 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*l - 20*l = 0. Let n be -2*((-27)\/6 + 4 - l). Let f(c) = -11*c - 1. Determine f(n).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1127490000 to the nearest 1000000.\nAnswer: 1127000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-15 - -35)\/(-120)*(1\/2 - -4). Let g = -4 - -7. What is the nearest to -1 in g, l, 1\/4, 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -4*s**3 - 8 - 5*s + 3*s**3 - 9*s**2 - 4*s. Suppose -11*i = -9*i + 16. Let v be z(i). Solve 2*k - 4*l = -v*l - 22, 8 = -4*k - 4*l for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 155\/2 + -77. Let y(g) be the second derivative of 0 + 1\/12*g**4 - 2*g + 0*g**2 + r*g**3. What is the second derivative of y(j) wrt j?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 4) in base 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u**3 + 5*u**2 - 2 - u - u - 11*u + 4*u + 0*u to p*u**3 + f + w*u + y*u**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-560)\/9 + 2\/9. Let l = 116 + s. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 3*h**2 - 58*h - 180. What is r(23)?\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 4*d - 5*d - 3 + 9*d. Let z be o(2). Let f be 6\/39 - (-335)\/(-65) - (26 + -43). Which is smaller: f or z?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145699 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-1)*(-19 - -18). Let s be 5 + (-2)\/1 - (c + -2). Sort -0.1, s, 2, -1 in decreasing order.\nAnswer: 2, s, -0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 50*v - 46*v - 16 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(637))*2 + 1 - (0 + sqrt(637) + -4 + 0))**2*5.\nAnswer: 350*sqrt(13) + 3310","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 2 k, and 1 l when four letters picked without replacement from kykalkkl?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n + 6*n + 6*n**2 - n**3 - 8*n - 1 to the form o + h*n**3 + l*n + m*n**2 and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/6)\/((-22)\/(-6) + -4).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 908.\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6315 - 82097\/13. Which is the third biggest value? (a) -145 (b) v (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1023245 (base 9) to base 10.\nAnswer: 546953","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) 4 (c) -4 (d) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(143)*-2*-1)\/((sqrt(132) - (1*sqrt(132) + sqrt(132)))\/sqrt(12) - (sqrt(22) + sqrt(88))\/sqrt(2)).\nAnswer: -sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -211213798 divided by 106.\nAnswer: -1992583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/33449 and -37\/20584.\nAnswer: 267592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 12*f**3 + 7*f**2 - 4*f + 5. Suppose -5*l - 2 = -3*z, 4*l + 12 = 2*z + 3*z. Is v(z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-4)\/(m\/(m*m\/m**(-3\/7)*m*m))*(m*m*m**(-1\/2)*m*m*m)**(5\/3) assuming m is positive.\nAnswer: m**(97\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-25)\/(10 - 5) + 10. Let t be (3 - 115\/15)\/((-2)\/3). Solve 3*g + 2*p + 4 = t*p, 0 = g + 2*p + b for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52165639.\nAnswer: 17, 3068567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -642*u - 1930. Calculate w(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 take away -12198189?\nAnswer: 12198163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 731 + -733.5714. Round w to 1 dp.\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-1\/7)*w**8*w**(-2)*w**(7\/2) assuming w is positive.\nAnswer: w**(131\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -3*o**3 + 0*o**3 + o + o**2 - 2*o - 1. Let c be n(-1). Solve g + c*f - 20 - 1 = 0, g + 5*f = 25 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*c - 918 = 6 for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l. Let w(m) be the third derivative of -m**5\/24 + m**4\/12 + 19*m**3 + 4*m**2 - 11*m. Let v(h) be the first derivative of w(h). Determine k(v(p)).\nAnswer: 5*p - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 11:19 PM?\nAnswer: 12:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/8281 and 73\/195.\nAnswer: 124215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*3.3977.\nAnswer: -6.7954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/4 - 1\/4*2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 57 - 30. Let z be (-6)\/q + 368\/36. Solve 0 = -5*x + 2*i - 1, -x - z = 3*x + 3*i for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-111)\/30 - -2)\/((-4)\/8) and 89\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**18\/(k**20*k)*(k**(-11))**(-3) assuming k is positive.\nAnswer: k**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -16, 7 in ascending order.\nAnswer: -16, 4, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.301, -3, -0.1, 115, 0.038 in increasing order.\nAnswer: -3, -0.1, 0.038, 0.301, 115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/9 of a week in minutes?\nAnswer: 19040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 12*f - 2184. Calculate the highest common factor of f and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)*-2)\/sqrt(9) + (2*sqrt(245))**2.\nAnswer: -2*sqrt(5) + 980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 4*h - 14*k, h - 8 = 366*k - 369*k for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -15848*d*i*j - 2766*i*j - 2*j wrt d?\nAnswer: -15848*i*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 13\/3*l**4 + 1880\/3*l - 1\/3*l**5 - 300 - 1049\/3*l**2 + 19*l**3 = 0?\nAnswer: -9, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 23*k**2 - 6*k - 20. Let w(c) be the third derivative of -2*c**5\/15 + c**4\/12 + 7*c**3\/6 - c**2. Let h(g) = -17*w(g) - 6*y(g). What is h(2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2264, -4903, -7504, -10049, -12520, -14899, -17168, -19309?\n\"Answer: 3*k**3 + k**2 - 2663*k + 395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 + 15*y**2 - 6*y - 53. What is s(-5)?\nAnswer: 477","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of 25*u**4\/12 + 193*u**3\/6 - 38*u**2 + 3*u. Differentiate j(o) with respect to o.\nAnswer: 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -190*a = 52*a + 19718 + 2546 for a.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.81 - 5.11. Let u = q + 4. Let c = -4 + 6. What is the nearest to 1 in -0.1, u, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of n**5\/10 + 2*n**4\/3 + n**3 - n - 7. Let m(k) be the first derivative of a(k). Find s such that m(s) = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 - 21 = -4*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*d - 0*d. Find q such that -2*q + q**2 + 1 - q**2 + q**d = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -9*i + 193. Give q(20).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -14*d**2 + 88923*d - 6491375.\nAnswer: -28*d + 88923","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 10:19 AM?\nAnswer: 11:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 464, 16, -1, 78.\nAnswer: -1, 5, 16, 78, 464","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/3 - (19 - 854\/42). Sort q, -0.1, 2\/1287, 0.1.\nAnswer: -0.1, 2\/1287, 0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 43\/3 of a year?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5221 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -3*l**2 - 2*l + 12. Determine a(-5).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-s + 2*s + 2*s)*(-4*s - 10*s - 9*s + (0 + 2 + 0)*(1 + s - 1)) in the form n + l*s**2 + w*s and give l.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of 1\/6*q**3 + 0*q + 0*q**4 + 5*q**2 + 1\/15*q**5 + 0. Let p be c(1). Solve 5*x - p*b - 25 = 0, 3*b + 2 + 1 = -x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 4*l + 215 - 40 = 0, -64 = -n - 5*l. Let q = n + -4. Differentiate 2*b**4 - 6*b**4 + 37 - q wrt b.\nAnswer: -16*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9375201.\nAnswer: 3, 11, 8609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 - 23*v**2 + 10*v - 226. Let g be b(23). Let d = 32 - 10. Let x be (-7 - -1)*4\/(-6). Solve -3*m = g*t - d, -x*m + 9 + 19 = 5*t for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 7. Suppose -r*c + 4 + 6 = 0, 0 = 2*a + 4*c - 12. Let k(i) = -2*i + a*i - i. Let g(f) = 3*f**2. Determine g(k(l)).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*a = -4*a - 9504. What is the highest common divisor of a and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 7*b - 5. What is c(-1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i = 159 - 579. Let h(x) = 2*x + 1. Let j be h(-2). What is the tens digit of ((-6)\/(-8))\/(j\/i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37987?\nAnswer: 37987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2486 and 15180?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*a + 3*a - a)*(-4*a**3 - a**3 + 3*a**3) - 2*a**4 - 339*a + 1339*a**2 - 1339*a**2 as k + l*a**2 + s*a**4 + c*a**3 + i*a and give i.\nAnswer: -339","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of k**2 + 13*k + 7. Let f be d(-9). Let x be ((-2)\/10)\/(84\/60 + -3). Which is the nearest to 4\/5? (a) f (b) 0.2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -52*h**3 + 17*h**4 - 50*h**3 + 13 + 102*h**3 wrt h?\nAnswer: 68*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 40 = -4*p + p, -2*y = -8. Let m be -11 + p\/(-5 - -1). Let h(k) = k**3 + 9*k**2 + 4*k - 8. Is h(m) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f - 500 = 4*f. Let m(i) = -i**2 - i + 20. Let q be m(0). Calculate the greatest common factor of f and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 5 + (-56 - -54) + (1 - 8)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -12. Is 157\/2 + b\/8 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b**2\/4 + 2999811*b\/4 = 0. What is b?\nAnswer: -999937, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -3*k - 4 - 2, 3*r - 6 = 2*k. Suppose -4*q = -5*j - 376, -2*q + 4*j = -k*q - 182. Suppose -o - 34 = -q. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119*m = -125*m + 9780. Let o = 12991\/8 - m. What is the common denominator of -113\/140 and o?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/913 in 5\/3, -4, -0.052, -0.1?\nAnswer: -0.052","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -1\/2931?\nAnswer: -1\/2931","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -4 + (14 - -3) + 4 + 0.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -613178\nAnswer: -1\/306589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1547 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i = 22*i - 1102. Suppose i = 3*l - 14*u + 10*u, -2*u + 8 = 0. What is the highest common factor of l and 414?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 372411.\nAnswer: 3, 13, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000180530547 to 6 decimal places.\nAnswer: -0.000181","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from sssslslssslsssssssss?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 312 is divided by 63.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 + 6. Let v(m) = -3*m**2 + 3*m + 5. Let z(q) = -5*q**2 + 5*q + 7. Let o(h) = 8*v(h) - 5*z(h). Let t(c) = -4*o(c) + 3*y(c). Calculate t(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffffffffffw. Give prob of picking 2 f.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.039 + -21.5\nAnswer: -21.461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -1 - 0) + 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 65699790 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + (2 + 1 - -12). Suppose -11 - t = -h. Calculate the remainder when h is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 162 divide 4267519?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6902139 to the power of 1\/4, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1146541 (base 8) to base 12\nAnswer: -132169","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of -1481*i**4\/12 + 1399*i**3\/6 - 2*i**2 - 104. Find the first derivative of u(r) wrt r.\nAnswer: -2962","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 + 49*o**2 - 252*o - 252. Let s be g(43). Suppose -i - 23 = y, 4*i + 2 = -18. Let h = -13 - y. Solve 3*q - 5 = -s*d + 2*d, -h*d = 4*q - 5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/(-10) + -2 + (3042\/(-260))\/13?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*i = 24*i + 21*i + 335. Let m = -0.5 + 0.3. What is the nearest to -1\/4 in 2, m, i?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of -5*d**6\/6 + 27*d**5\/20 + 41*d**3\/6 - 47*d**2\/2 + 5*d - 568. Find the second derivative of v(u) wrt u.\nAnswer: -300*u**2 + 162*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 - 3*n**2 + 2*n - 2. Suppose 0 = t + 3*g + 6, -4*t + 2*g + 3*g = -27. Let r be j(t). Let 0 + 0*v + 0*v**2 + 2\/3*v**3 + 1\/3*v**r = 0. What is v?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 518 is divided by 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8535814930 to the nearest integer?\nAnswer: 92389","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 12 (c) -4 (d) 0.5149\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m**5 - 4*m + 4*m + (2*m - 3*m - 6*m)*(10*m - 3*m + 9*m)*(0*m**3 + 0*m**3 + m**3 + (0 + 3 - 2)*(2*m**3 + 3*m**3 - 6*m**3) - 4*m**3 + 3*m**3 + 3*m**3).\nAnswer: -221*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 867954.\nAnswer: 2, 3, 144659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 3184 - 38076 = 0. Is w a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 349002?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/4 of a hour in minutes?\nAnswer: 735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -31.3 times 1142\nAnswer: -35744.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20367 and 24552?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 384*f = 387*f + 31, -b = -2*f - 6 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1524, 1574, 1624, 1674, 1724, 1774?\nAnswer: 1824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7308988 a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 147, 224, 275, 288, 251, 152?\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1774?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9 and -8.18.\nAnswer: -73.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = b + 27, 3*c - b + 2*b = 13. Let q = 494 + -316. Suppose j - 4*j + q = c*n, -4 = -4*j. What is the greatest common divisor of n and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -657*s + 653*s - b + 227, -b = 2*s - 115. What is the remainder when 1123 is divided by s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1\/650 + -6013\/325. What is the common denominator of 59\/172 and y?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7512, 15030, 22552, 30078, 37608, 45142?\nAnswer: 52680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 58 + 53. Let q be 0 - (-3 - x\/(-39)). Which is the closest to 2\/5? (a) 1 (b) 3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16b5 (base 13) in base 3?\nAnswer: 11121102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000003103 to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 0*q + 2 - 3 - q. Let z be y(-7). Let n be (-2500)\/z*(1443 - 3). Round n to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -928, -819, -710, -601?\n\"Answer: 109*d - 1037","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 25*t**3 + 6*t**2 - 2*t - 4. Calculate r(-3).\nAnswer: -619","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 2 c, and 1 x when four letters picked without replacement from xzttccccffccxztct.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -87\/61199 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 1 + 3 + -8 + -2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 107853 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 + z**2 + 9*z + 19. Let f be h(0). Let b be (38\/5)\/(3\/60). What is the highest common divisor of b and f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -14*i - 11. Suppose 4*l + 8 + 4 = 0. Let h be a(l). Suppose -6*u + h = 1. Let s(v) = -v**2 - 4*v + 7. Let g(q) = -2*q + 3. Calculate u*g(o) - 2*s(o).\nAnswer: 2*o**2 - 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74154126.\nAnswer: 2, 3, 67, 184463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 - (2 + -3 - 2). Let o = 1.3 + -0.7. Let d = 3.6 - o. Put g, d, -1 in decreasing order.\nAnswer: d, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of -d**3\/3 - 2*d**2 - 8*d. Let h(k) = 22*k - 80. Let a be h(4). What is y(a)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, r: 2, t: 5, a: 5, s: 4}. Give prob of sequence ats.\nAnswer: 50\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 1 + 16*h**3 + 2*h**2 + 3 as m*h**2 + j*h + w*h**3 + u and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 26 + -455?\nAnswer: -428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 + 40*x - 119. Calculate s(45).\nAnswer: -344","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -320*w**5 + 2*w**4 + 5*w**3 + 77*w**2 + 3*w?\nAnswer: -19200*w**2 + 48*w + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in five quarters of a milligram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 823, 1650, 2477, 3304, 4131?\nAnswer: 4958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.062 (b) -1\/3 (c) 3 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllddlllll. Give prob of picking 3 l.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1 (b) 20944 (c) 0.21 (d) 36 (e) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -95b14c (base 13) to base 2\nAnswer: -1101011000101001101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*m + 3*m - 4*m + 3*m)*(148*m + 0*m + 20*m) as b*m**2 + l*m + i and give b.\nAnswer: 1008","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5 + -7)*(-1)\/2. Factor -7*v + 4*v - g*v**2 + 6*v + 3*v**2.\nAnswer: -3*v*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 29 = 5*a, -v - 20 = -2*v - 3*a. Suppose -4*w - t = 5, -w + 1 = w - 3*t. Put w, 2, v in descending order.\nAnswer: v, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 88\/59535 and -169\/10200330.\nAnswer: 30600990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/3 of a decade in months?\nAnswer: 1720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 z when two letters picked without replacement from {f: 1, a: 2, i: 1, t: 5, z: 1, r: 10}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v**2 + 24*v - 10*v - 2*v to the form k + r*v**2 + c*v and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 + -3. What is the units digit of (20\/t)\/(26\/455)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131*m = -10*m - 1582 + 7363 for m.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 55261534?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 14040919 to the power of 1\/2, to the nearest integer?\nAnswer: 3747","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-74)\/185 + ((-816)\/60 - 8).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -2*c**4\/9 - 1492*c**3\/9 + 15638*c**2\/3 + 1124068*c + 3320832 = 0?\nAnswer: -768, -69, -3, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 32600, 32619, 32638, 32657?\n\"Answer: 19*c + 32581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3\/5 - 586*f**2\/5 - 53072*f\/5 - 276768.\nAnswer: -2*(f + 45)*(f + 124)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d**2 + 2*d + 1. Let k(b) be the first derivative of 2*b**3\/3 + b**2\/2 + b - 1. Let o be k(-1). Give m(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bqqqqkkqqqqqkbqqq. Give prob of sequence kbbq.\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, -15689, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 130 + -111. Does 6 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*x + 6*x**5 - 9*x**5 - 1 + 18*x**5 wrt x.\nAnswer: 300*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 4*y + 70 = 0. Suppose -2*u - 4 = -y. Let o = u - 8. Let p(d) = -d**3 - 3*d**2 - 4*d - 4. What is p(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**21\/g*g)\/(g\/((g**20*g)\/g)))\/((g\/(g*g**(-19)))\/(g*g**9*g*g)))**(2\/115) assuming g is positive.\nAnswer: g**(66\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -14*a + 3. Let z(w) = -5*w + 1. Determine -4*h(t) + 11*z(t).\nAnswer: t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.7 - -2. Let g = z + 0.2. Let s = g - 0.8. Which is bigger: -0.1 or s?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 90269\/168 + -4317\/8. Calculate the common denominator of p and -63\/8.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -1, 1.01, -2\/13?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 312311111114 - 1?\nAnswer: 312311111113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 20644846 a multiple of 248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 293*i**2 + 105*i**2 + 386*i**2 + 254*i**2 + 179*i**2.\nAnswer: 1217*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert ec6 (base 15) to base 8.\nAnswer: 6410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 + 0)\/((-3)\/(-6)). Let a(x) = 22*x**2 - 2*x - 2. Let m be a(y). Let g be 18 - 0\/(-2 + 0). What is the highest common divisor of m and g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 1:06 AM?\nAnswer: 10:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 - -15. Let t(y) = -6*y - 3. Let n be t(a). Let g be 6\/n - 2\/(-9). Solve -2*j = -g*j + s + 8, -3*s + 20 = -5*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 14 = -4*c + 12, 5*n + 35 = 5*c for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 98, 133, 168, 203, 238, 273?\n\"Answer: 35*n + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 68, 0.6, -8, 0.4, 0.174, 4\/5?\nAnswer: 0.174","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 3 t when four letters picked without replacement from {t: 3, z: 9}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -31 + 22. Let t = 146 - 145. Suppose 12*b - t = -37. What is the biggest value in b, 0.4, k?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 PM and 9:14 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.049593 to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of 25*i**2\/2 - 279. Let z(y) = 10*y**2. Give m(z(x)).\nAnswer: 250*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 + u. Let j be v(0). Suppose -5*d - 1 + 16 = j. Factor -1\/4*g**d - 3\/4*g**2 - 1\/4 - 3\/4*g.\nAnswer: -(g + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -12*d + 75. Let h(u) = 103*u + 2. What are the prime factors of h(d)?\nAnswer: 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -10416, -20828, -31240, -41652, -52064?\n\"Answer: -10412*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*p**2 + 21*p**2 + 13*p**2.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + 4*f**2 - 6*f + 7. Suppose v = -6 + 8. Let n be j(v). Factor 6*a**2 + 2*a**4 + 3*a**3 + 2*a + a**n + 2*a**3.\nAnswer: 2*a*(a + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4790 less than or equal to -38319\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 4*f**2 + 58*f + 26. Let p be j(-14). Put p, 3, 33 in decreasing order.\nAnswer: 33, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.58221 hours in minutes?\nAnswer: 34.9326","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -1 (b) -5.7 (c) -3 (d) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8.4 and 0.04.\nAnswer: 0.336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - (-42 + -15) - 35?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3541, -14432, -33265, -60598, -96989, -142996, -199177?\nAnswer: -266090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48, -428, -1456, -3456, -6752, -11668?\nAnswer: -18528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 + 6*q + 10. Let o be w(7). Suppose 3*y = -3*g - 3, o*y + 3*g = -y. What is the remainder when 11 is divided by y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84341393?\nAnswer: 84341393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 291 is divided by 154.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1166 + 1206. Solve 44*y = 34*y - k for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1332\/(-148)*10\/(70\/7)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*x**2 + 3452*x + 65246.\nAnswer: -4*x + 3452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 119788950 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -245 < -7983?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -323548196*t + 666385160 wrt t?\nAnswer: -323548196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -z + 5 - 1, 185 = 4*t + 16*z + 105 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**3\/2 + 1545*s**2\/2 - 770*s.\nAnswer: -5*s*(s - 308)*(s - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 v when two letters picked without replacement from {s: 2, v: 2, b: 1, k: 1, h: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**4\/3 - 983*v**3\/3 - 1644*v**2 - 7900*v\/3 - 3952\/3.\nAnswer: (v - 988)*(v + 1)*(v + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30 + 3. Does 3 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence do when two letters picked without replacement from {q: 4, o: 2, x: 1, f: 1, d: 2}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -506 + 515. Solve 6 = -6*l + z*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 - 10. Let h = 0.9 + 0.1. Which is the closest to h? (a) -1\/3 (b) i (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 2\/(-5) + 44\/((-95040)\/1176)?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 149455*x - 747293. Determine m(5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -1 - (11\/(-5))\/(-8 - (-429)\/55).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.5 - 2.6. Let x = -0.76 + 0.86. Sort 1, x, o in ascending order.\nAnswer: x, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**5\/5 - 22*u**4 - 206*u**3\/5 + 3062*u**2 + 30808*u\/5 + 3080 = 0.\nAnswer: -50, -14, -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (372\/434)\/((-20)\/(-14))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -8*a**2 + 336*a + 3196. Determine z(50).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 5*i = 9, -u + 2*u + 6 = 4*i. Solve l + u = -l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/7 - ((-23760)\/(-2618))\/(-40). Put o, 0, -0.1 in decreasing order.\nAnswer: 0, o, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 AM and 11:06 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*w**2 - 1364*w = 0. What is w?\nAnswer: -341, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 26 + v + 32 - 58. Let b(u) be the third derivative of u**6\/120 - u**4\/12 + u**2. Let z(m) be the second derivative of b(m). Determine g(z(t)).\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 0 - (-11 - (17 + -24)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -148788.851 to the nearest 10000.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vz when two letters picked without replacement from {q: 4, v: 3, d: 4, z: 5}?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 97580 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r**3 - 8*r**2 + 22*r + 2. Let q(l) = -4*l**3 + 14*l**2 - 42*l - 3. Calculate 5*h(u) + 3*q(u).\nAnswer: -2*u**3 + 2*u**2 - 16*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z + 22. Let d be r(11). Suppose 27*a + 83 - 515 = d. Solve 5*s - a = 9*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from {l: 12, t: 3}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/(-75) + (-54)\/(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4275016.51 to the nearest 100000.\nAnswer: 4300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -12 - 16*x**2 + 16*x - 54*x**3 + 55*x**3 + x. Let d be s(15). Let c(j) = d*j**2 - 35*j**2 + 18*j**2. Let h(p) = 37*p. Give h(c(b)).\nAnswer: 37*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 403*x - 21*x - 129*x - 13632 = 61*x for x.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/39)\/(-2*(-12)\/(24\/1)).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, h: 1, v: 2, q: 1}. What is prob of picking 1 n and 1 q?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t + 1. Let p(x) = 2 + 2590753*x + 1 - 2590743*x. Calculate -5*p(y) + 15*s(y).\nAnswer: -35*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of g**8\/131040 + g**7\/10920 + g**6\/2340 - g**5\/20 + 5*g**2. Let q(a) be the third derivative of k(a). Factor q(w).\nAnswer: 2*(w + 1)*(w + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -57350 rounded to the nearest 1000?\nAnswer: -57000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 13 = w, -2*w + 5 - 15 = -2*p. Calculate the lowest common multiple of p and -4 + 4 + -2 + 5.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, l: 2, u: 2, h: 1, j: 1}. What is prob of sequence uha?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 2 + -1*(sqrt(2736) + sqrt(2736) + sqrt(2736) + -1 + sqrt(2736) + -3)**2*-1.\nAnswer: -384*sqrt(19) + 43799","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4)\/(-16))\/1)\/(26\/16).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -347554098 greater than -347554099?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(432) - (-1 + sqrt(432))))**2 - ((-6*(sqrt(108) + sqrt(3)))**2 - (0 + sqrt(15)\/sqrt(5)))) + 4.\nAnswer: -5272 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is f55a - -54?\nAnswer: f5ae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002617 rounded to 5 dps?\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of 7*p**4\/4 + 4*p**2 + 5*p - 2. Let t = -297 - -291. Let c(z) = -8*z**3 - 9*z - 6. What is t*r(l) - 5*c(l)?\nAnswer: -2*l**3 - 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from cccccc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7)\/(-5 + (7 - 3)). Let n(x) = r + 0 - 3 - 5*x - 5*x**2 + 13*x**2. What are the prime factors of n(3)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a + 6*a - a)*(0*a + 2*a**3 + 0*a) + 3*a**4 - 4*a**4 + 0*a**4 + 18*a**4 - 227*a**4 - 34*a**4.\nAnswer: -240*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -6 - 3. Suppose 0 = -h*p + 18 + 21. Let r = -5 - -96. Calculate the highest common factor of r and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2448.2 times -222\nAnswer: -543500.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/(q*q**(-1\/5))))\/q*q*q**(-5)\/q)\/((q*q**(2\/13))\/(q\/q**(1\/3))) assuming q is positive.\nAnswer: q**(-1109\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-60) - (-1680)\/123200.\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -85\/72 (b) 0.16 (c) 3 (d) -6.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21 + 93. Let c = -50 + r. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -357 (base 16) to base 4.\nAnswer: -31113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**1)\/i*i)**(5\/9)\/(i\/i**(1\/7)*i\/i**(2\/3)) assuming i is positive.\nAnswer: i**(-25\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**4\/(k*k*(k\/(k\/(k\/k**(-3\/11))))\/k) assuming k is positive.\nAnswer: k**(19\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*x**3 + 8519*x - 8515*x + 10*x**3.\nAnswer: 22*x**3 + 4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16899961, 16899958, 16899955, 16899952, 16899949?\nAnswer: 16899946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 109.054177 - -63104820.945823. Let h = -63105021.999878 + l. Let v = 92 + h. Round v to five dps.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 AM and 4:46 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -52, 2\/3, -0.4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 11\/((-11)\/670) + 6 + 4. Let z = 859 + p. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 162624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -7*o**2 - 5*o - 2. Let b(d) = 2*d**3 + 4*d**2 + 2*d. Let w be b(-2). Let j(q) = -6*q**2 - 5*q - 1. Let c(h) = w*z(h) + 5*j(h). Factor c(a).\nAnswer: -(a + 3)*(2*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3212647630 to the nearest one million.\nAnswer: -3213000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3460 and 137160?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ktnj when four letters picked without replacement from {t: 4, j: 1, k: 2, n: 3, h: 4, q: 1}.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 93561 take away -4?\nAnswer: 93565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 102296291 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1445 (base 12) to base 6.\nAnswer: 14525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -225, -250, -275, -300, -325?\nAnswer: -350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 2*c = 0, -5*d + 10 = 3*c. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 1144*b + 1167. Let n be j(-1). What is the highest common factor of n and 3381?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + 3*l**2 + 6*l - 4. Let j(m) = 2*m**2 + 2*m. Let c be j(-2). Let w be z(c). Suppose -9*k = -w*k. Is k greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 - (45 + -45) - (94 - 10)\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 58\/6 + (-3)\/(-9). Find the third derivative of c*t**5 + 12*t**5 - 28*t**5 + 7*t**2 wrt t.\nAnswer: -360*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 = -2*i - f + 2*f, 4*f + 93 = 3*i. Let j(g) = g**3 - 7*g**2 + 2*g + 5. What is the remainder when i is divided by j(7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -33 + 104 - 0 - (-21 - 0)?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -13 + 1 + 3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 222446229 to the nearest integer?\nAnswer: 14915","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of -z**5\/120 + z**3\/12 + 3*z**2\/2 - 6*z. Let r(j) be the first derivative of y(j). Factor r(k).\nAnswer: -(k - 1)*(k + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20752.\nAnswer: 2, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/465?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4 + 3)*(1 - 3). Solve 3 + 5 = u*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2750.1624 minutes to hours.\nAnswer: 45.83604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**(-1\/6)\/c))**(-25) assuming c is positive.\nAnswer: c**(-325\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-1247)\/(-145))\/(1\/(-10)*4\/(-2))\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -62, -119, -186, -269, -374, -507?\nAnswer: -674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 - -3 - (1 + 0). Let p(a) = -6*a - 2. Let f(j) = -25*j - 9. Let m(d) = 4*f(d) - 18*p(d). Determine m(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 43*a*i - 3*a*x*y + 3*a - 216033*i*x*y + 3972*i*y - y with respect to x.\nAnswer: -3*a*y - 216033*i*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 617994412 by -14.\nAnswer: -44142458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 2\/171 (c) -593\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = -17*m + 108 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5\/10)\/(2\/(-16)). Let m(f) = -f**2 + f + 1. Let t(n) = n**2 - 3 - n + 0 + 6*n**2 + n**3. Let c(b) = d*m(b) - t(b). Determine r, given that c(r) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -34272.3 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 + -9. Let w = -4.08 + o. Round w to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 366\/(-793) - (-4192)\/9308.\nAnswer: -2\/179","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -466980.9842 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 first derivative of 850*b**4 + 6032 wrt b?\nAnswer: 3400*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 + 4*d**2 - 4*d - 6. Let t(n) = -n - 1. Let p be t(2). Let o be a(p). Let s = -129 - -133. Solve o = s*u - u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 0 + -2 + (sqrt(343) - (-1 + sqrt(343))) + ((sqrt(343) - sqrt(343)*-1)*2)**2.\nAnswer: 5483","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 143 in descending order.\nAnswer: 143, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3436497.66 + 3521723.6655. Let x = z - 85204. Let h = 22 - x. Round h to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p**3 + 6*p**2 - 24*p = 0. What is p?\nAnswer: -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/36 and 33\/16?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*s**2 - 9*s + 17*s + 2 + s**4 - 8*s to the form o + f*s**3 + i*s**2 + a*s**4 + z*s and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 101 + 23. Suppose -3130 = -18*b - p. Is 167 greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -8*b + 3. Let p(f) = -57*f + 24. Let r(h) = -2*p(h) + 15*s(h). Let o(t) = t. Suppose 4*q - q = 3. What is q*r(k) + 5*o(k)?\nAnswer: -k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/60 of a week in seconds?\nAnswer: 10080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 608, -129, -4, 1 in decreasing order.\nAnswer: 608, 1, -4, -129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3178 = -q - 4*l, 2*q + 2*l + l + 6376 = 0. Let u = q + 4635. What is u rounded to the nearest one hundred?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -437*m - 26. Let l be ((-4)\/(3 - -5))\/(2\/36). Is i(l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooyyyyoyoyooooyocoy. Give prob of sequence yoyo.\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 50\/8531 and 71\/898.\nAnswer: 17062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 509 - 626. Let q be (-6)\/(-35)*(2 + v\/81). Let 2\/21*m**2 - 4\/7 + q*m = 0. What is m?\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirteen eighths of a meter?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 0*z + 5*z - 18 = 0, 3*k - 2 = 5*z. Let h(c) = 2*c**2 - 5*c + 3. What is the units digit of h(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3\/17 + 4*y**2\/17 + 58*y\/17 - 60\/17.\nAnswer: -2*(y - 6)*(y - 1)*(y + 5)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -166734 minus 1?\nAnswer: -166735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 2\/2763141?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6594?\nAnswer: 2, 3, 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 31 - 5. What is the remainder when v is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of -a**6\/320 - a**5\/160 + 5*a**4\/64 - 3*a**3\/16 - 2*a**2 - 21*a. Factor d(h).\nAnswer: -3*(h - 1)**2*(h + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate i*o*z**2 + i*o*z - 93*i*z**2 + 8*i + 4*o*z**2 with respect to o.\nAnswer: i*z**2 + i*z + 4*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -4\/5, -3\/26, 5, -2248, 4?\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 10\/21, -4 in increasing order.\nAnswer: -4, 10\/21, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -216*r + 118*r - 153*r - 4769 for r.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of 9\/14*j**4 + 40 - 1\/14*j**6 - 18\/7*j - 15\/14*j**2 + 8\/7*j**3 - 6\/35*j**5. Suppose q(f) = 0. Calculate f.\nAnswer: -3, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p*p\/(p**(-11)\/p)*(p*p**(-1\/9))\/p)\/(p**(4\/11))**50 assuming p is positive.\nAnswer: p**(-227\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -8011b (base 15) in base 4?\nAnswer: -1202330003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6*(-8)\/6*(-22 - -19). Solve -4*u - 15 = 3*x, 4*u + 5*x + 1 + r = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 2*w = 5*t - 25996, -t + 4*w + 13013 = 0. Let b = -194912\/15 + t. Let x = 26\/5 - b. What is the third biggest value in x, 0.04, 1, 0.3?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 361 is divided by 34?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/6 and -59\/500?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7863.\nAnswer: 3, 2621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 611037367 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5158467 - -63?\nAnswer: 515851a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 5. Suppose c = -2*w + 22. What is the remainder when 34 is divided by w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -313 - -636. List the prime factors of j.\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -4*b + 22, -5*h - 4*b = 3 - 33. Solve -5*f + 3 = -h for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 6 = -124. Let u = i - 106\/3. Let s = -109882 - -109873. Which is smaller: u or s?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*a + 56*a + 5365*b - 5367*b = 14, 0 = 3*a + b - 1 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6469275 + -13168720. Let u = z - -522577735\/78. Let k = u - 539\/2. Which is smaller: k or -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 + 6*c**2 + 8*c + 5. Let v be z(7). Calculate the greatest common factor of v and 324.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -853560 - -581290. Let v be r\/(-24528) - 3 - 2\/(-6). Let s = 3\/584 - v. What is the common denominator of 117\/10 and s?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94061367 a multiple of 3501?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 33*r**2 - r + 1. Suppose -3*w + 1 = -2. What are the prime factors of o(w)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3880520270?\nAnswer: 2, 5, 11, 59, 597923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -7?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 6:26 AM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 304 = h, 0 = 4*h - 2*t - 468 - 718. Suppose p - 6*p + 3*q + h = 0, 2*q - 4 = 0. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1930 + 954 - 3*x**3 - 7*x**5 + 975 + (3*x**3 - 2*x**3 + 2*x**3)*(1 + x**2 - 1) - x**5 - 2*x**5 + x**5.\nAnswer: -6*x**5 - 3*x**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -16, -4.18, -1670?\nAnswer: -4.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 520 and 624.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h**2 - 32*h - 11. Let t(u) = 8*u - 2. Let l be t(2). Let j be i(l). Let s = -67 - j. Solve s = -2*c - 4*p - 10, 3*c - 2*p = -3*p for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35 - 10 - 599*m**2 + 616*m**2.\nAnswer: 17*m**2 - 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*w - 31 - 4. Solve 0 = f - w*f - i - 4, -5*i + 4 = -4*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 6*f**2 + 92*f + 178. Determine c(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -72500 to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 6:16 PM?\nAnswer: 11:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 15*m**3*v**4 - 20*m**3 - 10*m**2*v**4 + 10*m wrt v?\nAnswer: 60*m**3*v**3 - 40*m**2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 2*p + 45. Let m be 44\/10 - 6\/p. Suppose -80 = -2*q - 5*n - 4, -16 = -m*n. What are the prime factors of q?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -0.63?\nAnswer: 1.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 600*d**2 + 574*d**2 + 535*d**2 - 1620*d**2.\nAnswer: 89*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (18 - (44 + -32 + -6 + -1)) + -56\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -26*v - 1. Let p be ((-9)\/(-27))\/(2\/(-24)). Let r = 3 + p. Determine d(r).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 645\/25 + -22 + 2\/10. Let z(x) = 16*x - 2. Let o(d) = -16*d + 2. Calculate m*o(s) + 3*z(s).\nAnswer: -16*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 973?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 83520 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45163810 - 0.35.\nAnswer: -45163810.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 31 - 28. Let h(z) = 2*z - 1. What is h(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -690 by -6.\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -5*f + 1, -5*z = f - 16. Suppose 2*k - z = q, 3*k + k = -5*q - 15. Let c be 2\/(-4) - (-13)\/2. Solve u - 5*x - 4 + 2 = k, 3*x - c = 3*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - g + 13 = -4, 5*g - 25 = -3*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -1 + -1*sqrt(1700) + 0)**2.\nAnswer: -60*sqrt(17) + 1709","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 10:39 AM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1287?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1319724 and 108?\nAnswer: 3959172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/6, -5, -14247.5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8153\/19 + 429. Let y = 5 - 5.3. Let t = y + -0.2. What is the nearest to 2 in m, -3\/7, t?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, 2, -2, -50, 1, -4 in increasing order.\nAnswer: -50, -4, -2, 1, 2, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -150 * -0.176.\nAnswer: 26.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d**3 - 6*d - 6*d + 25*d - 4*d - 9*d.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 31*c**3 - 253*c**2 + 2*c - 51606?\nAnswer: 186*c - 506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -289*p**2 - 7679*p + 11558. Determine y(-28).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(14\/42*((-18)\/(-14))\/(-3))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q**3 - 2*q - 2. Suppose 0*y - 4*f = 2*y - 26, 3*y + 4*f = 39. Suppose -5*z - y = -3. What is the tens digit of h(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 9*y + 5*h - 2790, -2*y + 1112 = 4*h. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 654362151 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 62, 110, 146, 164, 158, 122?\n\"Answer: -s**3 + 55*s + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -13. Let g(l) = l**2 - l - 57. Let f be g(8). Let p be (115\/20 - f) + i\/8. What is the second smallest value in -3\/8, -0.3, p?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/2366 and -61\/1503?\nAnswer: 3556098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 38\/(-6) + (-2)\/(-6). Let s = g - -1. Which is the closest to -2\/3? (a) -0.1 (b) s (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 983653778 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.13214985256 and 18.\nAnswer: 17.86785014744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2*p. Let f(h) be the third derivative of h**5\/5 + 5*h**3\/6 - 6*h**2. Let o(n) = -6*n**2 - 3. Let l(s) = 3*f(s) + 5*o(s). Determine l(w(q)).\nAnswer: 24*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24 - 21. Let f = -1305 + 1305.08. Do k and f have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5515?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 6, k: 2}. Give prob of sequence kqk.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/1)\/(5*4\/40).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2\/30)\/(132\/(-396)))\/((-3)\/((-135)\/5))?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11626 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by -15.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-14)*(-14 + 0). Sort -1, 3, f in descending order.\nAnswer: f, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1)*c)**4\/(c**(2\/19)\/(c**(-7)*c))*c**4\/(c**(-2\/13)*c)*(c**(-1\/3)\/c)\/(c\/(c\/(c**(3\/2)*c))) assuming c is positive.\nAnswer: c**(-10055\/1482)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11047*c - 11035*c - 48, 2*l - 5*c - 40 = -19*c for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 306423626 + -1?\nAnswer: 306423625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express j**2 - 2*j + 6*j**4 + 0*j + 8*j**3 - 3 - 9*j**3 + 6 as c + g*j**4 + b*j**2 + p*j**3 + o*j and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r**3 - 200*r**3 + 21*r**3 + 160*r**3 + 23*r**3.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**2 - 1 + 7\/2*v.\nAnswer: -(2*v - 1)*(3*v - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.62908 to two dps.\nAnswer: -0.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2*y**2 - 9*y + 157. Give n(-11).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -304680.61 (c) -1\/3 (d) -1 (e) -1\/5 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11501 - -36589. What is the greatest common divisor of 16 and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 106 + -111. Let g be (40\/4)\/(-3 - s). What is the nearest to -0.05 in g, 3, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 7*x + 1. List the prime factors of r(4).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -111770812792.00000317 + 111770813282. Let f = s + -490. What is f rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11783*s**3 - 5 - 3998*s**3 + 6.\nAnswer: -15781*s**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1210000 + -10000101121?\nAnswer: -2221121121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 500 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 - 1. Let n = -553 - -554. Let t(p) = 12*p**2 - 416*p + 10824. Let q(o) = n*t(o) + 8*m(o). Let q(h) = 0. What is h?\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 4057.25 meters?\nAnswer: 4057250000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16465*o**3*y + 50*o**3 - o**2 - 13*o*y - 2*y + 3218 wrt o.\nAnswer: 98790*y + 300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.2 - 0.8. Let g = 112.76 + -113.06. Which is the closest to -5? (a) d (b) 2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 5*l - 1. Let h(o) = o**3 - 8*o**2 + 11*o + 9. Let w(b) = 6*b + 78. Let c be w(-12). Let a be h(c). Determine t(a).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 7 + 31. Let m be 4\/g + (-16)\/(-6). Suppose -9 = m*c - 51. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -3*o**2 - 11*o + 4. Let y = 121 - 26. Let k = y - 68. What is the remainder when k is divided by p(-2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (-7 - (-5 + 1)) + -4 + -4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 36 + -91. Let q be (4\/5)\/(11\/p). Let t(k) = -5*k + 2. Let a(g) = -6*g + 3. Determine q*a(z) + 5*t(z).\nAnswer: -z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s. Let g(v) = 126630*v**2. Calculate d(g(b)).\nAnswer: 126630*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -162189897*q**2 - 286419931*q wrt q.\nAnswer: -324379794","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 181*n - 89. Suppose -481*o - 56 = -489*o. Let y(b) = -360*b + 175. Let h(r) = o*q(r) + 3*y(r). What is the derivative of h(a) wrt a?\nAnswer: 187","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12067453 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*p + 26 = -134 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7)\/(-3)*2\/21. Let z = -2 + 2.2. Let t be (-18)\/24*(0 + -4). Which is the third biggest value? (a) t (b) z (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -3*q**2 + 30*q - 72. Let o be z(5). Suppose 2*t = v + 41, 5*v - v - 4 = 0. Suppose -22*s + t*s = -o. Solve -12 + s = 3*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 5*h - 176 = u, 3*h - 220 = -5*u. Let b = -45 + u. Which is greater: -7\/4 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 + 5*d + 4. Let u(l) = -l + 2. Let g = 3 - -5. Let j be u(g). Give r(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (-24)\/(-21))\/(14 + -13)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -125513 rounded to the nearest 10000?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 + 159\/21 + 12\/(-21). What is the greatest common divisor of 70 and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 - 37*l + 729. What is c(-51)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 791 and 8249?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2701210 is divided by 124.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -38*h**2 + 777 - 777 - 41*h wrt h.\nAnswer: -76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 1. Let y be o\/(-3) + (-10)\/(-42). Let z = 23 - 23.3. Which is the closest to -0.1? (a) y (b) z (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5359 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/(m\/m**(-2\/9))*m))**(1\/6))**(-25) assuming m is positive.\nAnswer: m**(-25\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1687\/723*(-142)\/15407?\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 68, 70, 74, 80?\n\"Answer: o**2 - o + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h + 23. What is the smallest common multiple of 9 and k(11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s*s*s**(-11))\/s**18 assuming s is positive.\nAnswer: s**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b + 26400 = 2*b. Let y be 2\/8 + -19961*(-2)\/b. Let z = 1\/825 - y. Calculate the common denominator of -30 and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -6203156.\nAnswer: 3101578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 47600?\nAnswer: 47600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -11\/14?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -443 and -402134\/905 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 341 and 18119810.\nAnswer: 199317910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -2*b, 0 = x - 5*b - 0*b + 12. Let v = 5\/191 - -5811\/4202. Calculate the common denominator of v and 60\/x + (2 - 0).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of p**5\/5 - 7*p**3\/3 - 13*p**2. What is the derivative of r(l) wrt l?\nAnswer: 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21260?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - -187?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 189 and 459?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -542951.3 rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4534, -13560, -31418, -62524, -111294, -182144, -279490, -407748?\n\"Answer: -736*a**3 - 3874*a + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -288\/5 + 58. Suppose r - 5*r + 8 = 0. Factor -d + 4\/5*s - 2\/5*s**r.\nAnswer: -2*(s - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 = -3*b + 175. Let c = -84 + b. What is the highest common divisor of 2 and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -4*s - 32 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23 - (-22 - -10)) + 25?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1926 - 389. Let c = -642 + m. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 623\nAnswer: -5\/623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (9\/(-3))\/(180\/(-60)). Which is smaller: -1\/308 or p?\nAnswer: -1\/308","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/(-4))\/(8\/16). Suppose 16 = 2*d + 2*d - 2*m, -3*d + m = -10. Suppose a + d = y. Solve -4*b = 4, 5 = -3*k - 4*b - y for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 AM and 10:44 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 4*h + 2. Let b(t) = -2*t - 3. Let z(p) = -3*b(p) - 2*f(p). Let w(l) = l - 2. Give 5*w(j) + 3*z(j).\nAnswer: -j + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 + 23*a**2 + 245*a + 100. Let j be r(31). Solve -5 - j = -2*f + 4*m, f = m + 3 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 371 - -65?\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -60 + 66. Let n be (2\/y)\/(-3 + 140\/45). Let d = 15 - 16. Which is the second smallest value? (a) n (b) 0.3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13893363 divided by -42.\nAnswer: -4631121\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 + 28. What is the greatest common divisor of 4 and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 6, -3\/2, -3\/11, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -206*p. Let s(l) = -288*l. Give s(k(r)).\nAnswer: 59328*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m + 10. Let u(w) = w + 8. Let l(q) = 4*t(q) - 5*u(q). Let d(n) be the second derivative of 13*n**3\/2 - 67*n. Give l(d(k)).\nAnswer: -39*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 + 3*j - 3. Let n be o(2). Let k(a) = 9 - 2*a**2 + 31*a + a**2 - 25*a. Let m be k(n). Solve -2*q - 6 = -2*g, 4*g - 4 = m*q + 6 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 623 + -619. Let x = -3 + 7\/2. Which is the closest to x? (a) -5 (b) g (c) 3\/4 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/1 + 85 + -81.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 + 6*r**2 - 6*r + 3. Suppose 0 = m - 6*m - 5, -m - 22 = 3*f. Let k be j(f). Suppose -3*u + 5 = -7. Sort k, u, 5.\nAnswer: k, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1957665665 divided by -6?\nAnswer: -1957665665\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 125) + 101 - 111\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j + 42. List the prime factors of l(-18).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-120)\/(-24)*(0 - -1). Suppose -4*a - 17 = -3*d + 34, -s*a = 2*d - 57. Let l = 24 - d. Solve 2*j + 5 = -l*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 45*b**2 + 8*b - 11. What is the units digit of w(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -81421964 and -0.05873.\nAnswer: -81421964.05873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**5 - 58*w**4 + 504*w**3 - 1552*w**2 + 2096*w - 1056.\nAnswer: -(w - 2)**4*(w + 66)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*q**4*t**3 + 2*q**3*t**3 + 77*q**3 + 13812*q**2*t**3 wrt q?\nAnswer: -168*q*t**3 + 12*t**3 + 462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 59 (b) 4 (c) -3 (d) -70988\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a milligram in micrograms?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -10. Let k(v) = v + 11. Calculate -3*g(r) - 2*k(r).\nAnswer: -2*r + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1088451 by 9303.\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 44*v**4\/5 + 366*v**3\/5 + 934*v**2\/5 + 696*v\/5 = 0.\nAnswer: -4, -3, -29\/22, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((5*(sqrt(272) - sqrt(17)))**2 - sqrt(85)\/sqrt(5)*5).\nAnswer: -5*sqrt(17) + 3830","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 24 = 2*y. Let k = -6 - y. Suppose 3*s = 2*n - 39 + 4, 6 = -k*s. Does 3 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 9) to base 7\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16291.9994827 - 16292. What is m rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -37*b**3 + 3*b**2 + 11*b - 44. What are the prime factors of p(-5)?\nAnswer: 43, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/9 in 0.4, 153, 2.1, 5, 73?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -b - 402, 4*n + 0*b - 5*b = -818. Calculate the remainder when 1\/(-3 - 608\/n) is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 4*y - 211. Let m be s(56). Suppose -m - 23 = -w. Calculate the remainder when 114 is divided by w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5\/18362 + -989513\/7473334. Calculate the common denominator of 40\/3 and t.\nAnswer: 1221","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 134 or -482625?\nAnswer: -482625","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 75*h**2 - 1351*h + 33. Suppose -5*i + 15 = 0, -2*u - 4*i = -158 + 42. Calculate the remainder when u is divided by t(18).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1102 divided by -58.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -3*g + 3. Let v = -128 + 133. Suppose 19 = -2*j - j - v*u, 5*u - 5 = 5*j. Determine k(j).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 4\/5 (b) 4 (c) -1 (d) 1\/26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n**3 + 52*n**2 + 34*n + 55. What are the prime factors of p(20)?\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by 2755.\nAnswer: 9\/2755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z - 4*z + 12. Suppose -q = k - 235, q + z*q = k - 245. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2865194 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.164 + 0.464. What is the smallest value in 0, 0.1, 0.16, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 19083, 38180, 57277, 76374, 95471, 114568?\n\"Answer: 19097*p - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(5632\/462)\/(-32).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 369105890?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7225 is divided by 225?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114 = -5*x - 6691*w + 6689*w, -2*x - 4*w + 258 = -7*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 79*p = 78*p + 17, -o - 1 = -p for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2))**8)**(4\/13) assuming x is positive.\nAnswer: x**(-64\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/5 + 1521026*c + 15210256\/5.\nAnswer: (c + 2)*(c + 7605128)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 213994673 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*72\/(-384))\/((-42)\/12)?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of -j**5\/20 - 55*j**2 - 43*j - 1. Let f(q) be the first derivative of s(q). Let h(d) = -d + 10. What is h(f(b))?\nAnswer: 3*b**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - m + (5*m - 2*m - 4*m)*(4 - 2 - 1) - m - 5*m + 5*m + 0*m + m - 2*m)*(3 - 7 + 2) + (0*m + 6*m - 4*m)*(37 + 55 - 3).\nAnswer: 186*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -5.3. Let d(p) = -11*p. Let f be d(-1). Let r be f\/3 + 1\/3. Which is the third smallest value? (a) r (b) i (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-140)\/(-1)*(-5)\/40*-4 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -60.989 to the nearest integer.\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hofhtutffthftt. What is prob of picking 1 h and 1 u?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -41.21 to the nearest integer.\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/3, 4, -73, -80, -1\/7?\nAnswer: -80","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5250 (base 10) in base 4?\nAnswer: 1102002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wewwesikesrsr. What is prob of picking 1 e and 1 s?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 465\/4 bigger than 115?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -88 + 95. Which is the nearest to -2\/3? (a) t (b) 2\/7 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 3*r**3 - 3*r**2 + 3*r. Let z(k) = 2*k**3 - 4*k**2 + 4*k - 1. Calculate 4*h(c) - 3*z(c).\nAnswer: 6*c**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -92.81 + 91.81. Let q = -2 + -1. Which is the second smallest value? (a) q (b) 0.033 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (14*g + 28*g + 6*g)*(32586 - 279*g**2 - 32586) to the form f*g**2 + i*g**3 + l + h*g and give i.\nAnswer: -13392","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -0.12, 5, 3\/9806 in ascending order.\nAnswer: -0.12, 3\/9806, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w - 24. Let k be y(-13). Let p(x) be the second derivative of 2*x + 0 - 1\/3*x**4 - 2*x**k + 0*x**3. Differentiate p(i) with respect to i.\nAnswer: -8*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**5 + c**2 - c**2)*(1 + 3 + 0)*(8 - 3 + 0).\nAnswer: -40*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7709602?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of -u**4\/4 - 451*u**3\/2 + 2730*u**2 + 4*u + 440. Factor b(x).\nAnswer: -3*(x - 4)*(x + 455)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a - 2*a**3 + 3*a)*(4*a**2 - 2*a**2 + 0*a**2) + (-6*a**2 + 4*a**2 + 0*a**2)*(0*a**3 - a**3 - a**3) + (-2 + 3 - 6)*(-2773*a**2 + 23*a**5 + 2773*a**2).\nAnswer: -115*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 350357 is divided by 9367?\nAnswer: 3778","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -7*x**2 + x. Give n(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 222 (base 9) in base 11?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000461 rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-75)\/(-20)*(357120\/216)\/(-62)?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - -133?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -901905, -901889, -901873, -901857, -901841, -901825?\nAnswer: -901809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 - 4*i**2 + 7*i + 12. What is the remainder when q(-8) is divided by 72?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 449, 469, 503, 551?\nAnswer: 613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 16.990956 and -4.\nAnswer: -67.963824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847) - (4 + 3*sqrt(847)))**2 + 0 + 5 + 4.\nAnswer: 176*sqrt(7) + 3413","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 149874321 - -167891680. Let u = -317766006.00000019 + g. Let m = u - -5. Round m to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 342257 is divided by 39?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 68 + -48. Suppose 4*t = m - 46, -7 = 4*t + 4*m + 49. Let c be 116\/6 - 8\/t. What is the greatest common factor of c and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(150) + 2*sqrt(150))\/sqrt(10))\/(2*sqrt(363) + sqrt(363)).\nAnswer: sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + 34a83?\nAnswer: 34a86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 1682*x**3 + 30*x**2 - 20*x + 24. Suppose 70*n = 48*n - 286. Let z be j(n). Round z to the nearest one hundred thousand.\nAnswer: -3700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -148 - -147. Which is the second smallest value? (a) -6 (b) u (c) -0.2 (d) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**2 + 0*n**2 + 4*n**2)*(-1 + n + 1) - 2*n**2 - n**2 - 1057*n**3 + 3*n**2 + 61*n**3.\nAnswer: -994*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1777 a factor of 129312112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 855 = 5*b - 0*b. Suppose c + f - 64 = b, 0 = -4*c - f + 925. What are the prime factors of c?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 588*b - 5*b**2 - 222*b + 810*b.\nAnswer: -5*b**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 - 48 = 7*a + 54 for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28 - 269. Let z = 311 + t. What is the remainder when 879 is divided by z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 4*u - 1982, 140*u + 2963 = 3*c + 151*u. Solve -38*h = 653 - c for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*i*s**4 - 55*i*s**3 + 3*i*s**2 - 7*i + 82*s wrt s.\nAnswer: -120*i*s**2 - 330*i*s + 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4166 to the power of 1\/2, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3214489?\nAnswer: 3214489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -10. Let b(t) = -t**3 + 3*t**2 + 3*t. Let y(x) = 2*x**3 - 4*x**2 - 4*x. What is s*b(z) - 3*y(z)?\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*z**4 - 2 - z**3 - 2*z**2 + 3*z**4 + z**4 + 3*z**3 + 2*z to n*z**3 + t*z**2 + q*z**4 + m*z + w and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -260*t - 40480 = 392*t - 110*t + 338*t for t.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15399 and 116?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*s + 10*s - 2663 + 2660 + 14*s + 12*s.\nAnswer: -s - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 PM and 7:24 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does -59933 = -60077?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -7*r + 4. What is x(-8)?\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2692 - -72470.1\nAnswer: 75162.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-26432)\/(-60) + (-18)\/90)\/(2\/138) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 440626?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/(-2))\/(15\/(-60)). Let j(l) = -l**3 - 2*l**2 + 2*l + 2. Calculate j(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 718671 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 465310322 a multiple of 146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -99*1342\nAnswer: -132858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, z: 1, i: 3, h: 4, w: 7}. Give prob of picking 1 z and 1 w.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5954 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**1\/w*w\/(w\/(w*w**(2\/17)\/w))*(w**(-1))**(-15)*(w*(w\/w**(-1))\/w*w)**(16\/7)*w**(-1)\/w*w**(1\/8)\/w assuming w is positive.\nAnswer: w**(18183\/952)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.18, -413, 27\/2, 0.2?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 249 a factor of 47841193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1953 = 113*f - 120*f. Is (f\/(-2))\/(105\/280) a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2102233023223 - 0?\nAnswer: 2102233023223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*p - 2 = 14*p - 2*a, 5*a = 2*p + 8 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 AM and 7:55 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 840 divide 6600115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 4*f = 4742, -3*f + 4*f = -3*q + 7141. List the prime factors of q.\nAnswer: 3, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 672 and 48?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2\/3 + 16*h\/3 + 16.\nAnswer: (h + 4)*(h + 12)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 868536 - 871398 = 53*l for l.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 28733609 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**3 - 38*x**2 + 9*x - 31. Is r(24) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iu when two letters picked without replacement from {i: 5, u: 5, f: 1}?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79.0134 millimeters to nanometers.\nAnswer: 79013400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48 and 3408?\nAnswer: 3408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 47*c + 62*c - 97*c. Let z(q) = -3*q. What is -6*y(v) - 22*z(v)?\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 271, 1093, 2463, 4381, 6847, 9861, 13423?\nAnswer: 17533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -26*p**2 - 5*p + 5. Let g(k) = -90*k**2 - 18*k + 18. Let i(y) = 5*g(y) - 18*q(y). Let l(b) = -3*b**2. Give l(i(v)).\nAnswer: -972*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2343\/8 - -286. Let v be 690\/24*(-1)\/(-5). Let w = v + t. Find the common denominator of 17\/4 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-273)\/26*(-4)\/7. Solve -2*k - 3*n + 5 = -2*n, h = 3*k + 2*n for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 594 (base 11) to base 15\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 15*x**2 + 13*x - 5. Suppose 3*q + 59 = -4*r, 2*q = r + 5*q + 8. Is k(r) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 17\/(-1) + 356 + 205. What is the highest common divisor of 748 and i?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 29 + 1 = -i, 42 = 3*i + v. Let m be 10 + -6 - (-3317)\/i. Let p = 259 - m. Which is the smallest value? (a) p (b) -2\/11 (c) -4 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(162) - (-2 + sqrt(162) + 1)) + 3)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 235*u**2 - 366*u**2 + 132*u**2 - 3*u**3 + 6 - 144*u in the form p*u**3 + b*u + d + x*u**2 and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -8\/5 (c) 0.12 (d) 8\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13992, 28044, 42096, 56148, 70200, 84252?\nAnswer: 98304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.5 + -5. What is the third biggest value in 2, 5, -2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -7 + 8\/(-8) - -10. Let w be 4 - (-12)\/(-6)*n. Put -5, 20, w in decreasing order.\nAnswer: 20, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/(-12)*3\/2. Does 29 divide (-324)\/(-9) - (5 + a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*a = -31*a - 48. Differentiate -34*r**2 - 221 + 34*r**2 + a*r - 6*r + 50*r**3 wrt r.\nAnswer: 150*r**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -4047?\nAnswer: 2\/4047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 214.00773 + -0.04773. What is q rounded to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 979594 and 8816346.\nAnswer: 8816346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(2695)*4)\/(((sqrt(297)*1)\/sqrt(9))\/sqrt(3)).\nAnswer: 28*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 2, 0.5, -0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 15) to base 10\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 3 = 2*a + 15, 0 = 5*j - 4*a - 2. Calculate the lowest common multiple of (-5 + -1)\/(j\/6) and -1 - (6\/39 + 3255\/(-455)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3743960)\/553085)\/(0 - (-2)\/13).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 - 21*p**2 + 16*p - 20. Calculate t(20).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p - 4*p - 894*p**2 + 97*p**2.\nAnswer: -797*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 12) in base 15?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 - 8*k - 5. Let j be o(-5). Let a(d) = -d**3 + 9*d**2 + 15*d - 10. What is the units digit of a(j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3741 by 29.\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 295940 and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3e94 (base 15) to base 7\nAnswer: 54052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.877 - 0.023. Let n = -0.1 + r. Which is the second smallest value? (a) n (b) 3 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (150\/(-30))\/(5\/(-1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100010111100001 - 100001?\nAnswer: -1100011000000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 183178 and 268?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**4)**1 assuming o is positive.\nAnswer: o**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2807?\nAnswer: 7, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrrxrrrrxx. What is prob of sequence xx?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2321? (a) -512 (b) -1\/3 (c) 2\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 4*v. Let n(h) be the first derivative of -2*h**2 + 6. Calculate n(u(y)).\nAnswer: -16*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 44 = -4*j, 3*j + 4*x - 1 = 32. Calculate the smallest common multiple of j and 326.\nAnswer: 3586","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -0.07, 0.23, -0.4, -0.2?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2bc6 (base 13) to base 10.\nAnswer: 6415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 45*r**3 - r**2 + 48*r + 6. Let p(t) = -225*t**3 + 6*t**2 - 237*t - 28. Let o(x) = 3*p(x) + 14*s(x). What is the second derivative of o(z) wrt z?\nAnswer: -270*z + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -58873603*y**3*z + 4*y**2*z + 4*y**2 - y*z - 63*y + 457*z wrt y?\nAnswer: -353241618*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 1361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 0. Suppose -5*m = -3*t + 1, -4 = -t - 4*m + 2. Find the first derivative of 5 - 3 - t*y**3 + 3*y**g wrt y.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1331) + 1 + sqrt(99) + 0.\nAnswer: 1 + 14*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggbgqbzqbqqbpqbg. Give prob of picking 1 g, 1 q, and 1 p.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(3\/8)*a*a\/(a\/(a\/a**1)))\/(a**(2\/11)*(a\/a**(1\/4))\/a))**46 assuming a is positive.\nAnswer: a**(4945\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o**2. Let g(l) be the first derivative of -17*l**3 + 33*l**3 + 20 - 11*l**3. Determine g(d(s)).\nAnswer: 60*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (36\/(-6) - -7)*-2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 - 11*c**2 + 9*c + 9. Let v be g(10). Suppose 3*r = -3*y - 117, 2*r - y = -2*r - 136. Let u be -1 + v - r\/5. Solve -u*f + 0 = -5 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -35\/17 - 1051\/51. Is -24 greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 + 8*d**2 + 8*d + 21. Let p be y(9). Calculate the highest common factor of p and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, s: 4, p: 8, e: 4}. Give prob of picking 2 e and 1 o.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*z + 4*z = -27 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -3*q + 4, -q - 6 = -5*q + k for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, b: 5, i: 5, u: 2, q: 6}. What is prob of picking 2 i, 1 q, and 1 b?\nAnswer: 25\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 73, -3.\nAnswer: -5, -3, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 22, 77, 160, 265, 386?\n\"Answer: -o**3 + 20*o**2 + 2*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(-24))\/(20\/(-6))*15.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*u + 2*u = 2*u + 15*u. Solve u = -3*t + t + 6, -4*s - 11 = -5*t for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/24*((-15)\/40)\/((-2)\/(-104)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {o: 3, f: 2, r: 2, l: 9}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 2*a = 58. Calculate the remainder when (-2 + (-12)\/(-4))*a is divided by (-1)\/(-4) - (-237)\/12.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/1026 and -107\/1995?\nAnswer: 35910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t - 8. Let x be a(0). Suppose 2*c = 4*f - 4, 5*f + 10 = 2*f - 5*c. Which is smaller: x or f?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 199*x = -511477575 + 511457476 for x.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 11 = 37*x - 38*x, 0 = -2*x + 4*f + 6 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 5*y - 60 = 0, 2*y = -2*r - 2*y + 30. Suppose -4*m - 134 = -w - r*m, 0 = 5*w - m - 592. Suppose -5 = -o - 5*f + 3, 4*f = 3*o - w. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -0.86713.\nAnswer: 4.33565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 19 in 1, -5, -2988, -4, 3\/17?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-6)\/14 + -1)\/(183\/(-16653)) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5069 * 113.19.\nAnswer: 573760.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 11*i**5 + 39767*i**4 + 47884224*i**3 + 19159263720*i**2 - 54401724144*i - 10524298896 = 0. Calculate i.\nAnswer: -1206, -2\/11, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*d**4 - 2*d**4 + 0*d**4)*(-3 + 0 - 4)*(-16 + 0 - 11).\nAnswer: 945*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 + 19 = -4*c - 7*t + 10*t, c - 27 = -13*t + 131 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 18 times -50\nAnswer: -900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 12713542 to the power of 1\/3, to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + 6051*5\/720. Let c = -355\/16 + p. Find the common denominator of c and (-2)\/10 + (-183)\/60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*v**4\/6 + 1579*v**3\/3 - 34633*v**2\/6 - 83068*v + 88320 = 0 for v.\nAnswer: -320\/37, 1, 24, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 255.413 and -0.096464?\nAnswer: 255.509464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 1 + 3. Suppose -4 = -3*l + 5, 5*q - 2*l - 14 = 0. Find the second derivative of -2*a + m*a**q + 3*a**4 - 3*a**4 - a**4 wrt a.\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37 - -29. Let q be (3\/(-12))\/(3\/n). Which is the nearest to 0.1? (a) 5 (b) -0.4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**4\/4 - 1506*j**3 - 2268036*j**2.\nAnswer: -j**2*(j + 3012)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -139\/87 + -2\/29. Suppose -2*s = 3*s + 2*j - 27, -5*s + j + 24 = 0. Suppose -3*w + 7*w = -2*t - 2, s*t = -3*w + 9. Is r > w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**3\/5 + 4*h**2 - 24*h\/5.\nAnswer: -4*h*(h - 3)*(h - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of 2*m**3\/3 - 57. Let d(g) be the third derivative of -g**5\/15 + g**3\/3 + 22*g**2. What is d(t(k))?\nAnswer: -16*k**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45 - 6*v**2 + 25 + 20.\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137156*u - 137152*u + 411600*u - 137288*u.\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 5*n**2 + 3*n - 1. Let v be 1\/(1\/8*2). Let h(q) = -v*q**2 + q + 2 - 4*q - q + q. Let w(c) = -4*h(c) - 3*z(c). What is w(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -31*j**3 - 14*j - 19. Let a be g(10). Let x = a - -1869679\/60. What is the common denominator of x and 97\/54?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -42166\/3 - -13867. Which is smaller: -187 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9019 <= 9062?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 4, 0 = 2*n - 0*n + 3*z - 204. Let f be 1\/(-3) + -6*(-6)\/n. Suppose 0*c - 4*c + 16 = 0. Solve -2*u - 9 = 3*t, 2*t + f = -2*u - c for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 11 = -l, 0 = 5*l - 10*l - w + 10. Let x be 0 - (1 - l - -1). What is the remainder when 5 is divided by -1 + 0 + 2 - x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 3*p**3 + 135*p**2 - 1272*p = 0.\nAnswer: -53, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4 - -3)\/(-1) - 5. Is 2\/h - (-19)\/2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -331143, -1324563, -2980263, -5298243, -8278503, -11921043, -16225863?\n\"Answer: -331140*c**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 + 51 = 4*i. Suppose 3*g + 4*f - 23 + 15 = 0, 2*g - 3*f = -6. Solve g = h + h + 5*j, 5 = -h - i*j for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*(-2)\/10*100\/160. Let d = 18 - 25. Let q(s) = -s - 8. Let z be q(d). Which is bigger: z or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 374*g**3 - 69*g**3 - 176*g**3.\nAnswer: 129*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -4*n + 3*n. Let y = n - -53. Calculate the greatest common factor of 45 and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 138589446, 138589441, 138589446, 138589467, 138589510, 138589581?\nAnswer: 138589686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 7.7518\nAnswer: -7.7518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(3\/2))\/j)**(2\/53) assuming j is positive.\nAnswer: j**(3\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 36 - 12 = 0. Suppose 8*j + 8 = u. Suppose -j*c + c + 4 = 0. Put -0.3, c, 6 in descending order.\nAnswer: 6, c, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**2\/2 + 4509555*n + 45095425\/2.\nAnswer: 5*(n + 5)*(n + 1803817)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148*q + 133*q - 180 = 0 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*i**2 - 5*i**2 + 61*i**2.\nAnswer: 25*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.62 rounded to the nearest integer?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 188724180 and 8.\nAnswer: 377448360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.105 + -1.605. Let m = 2.05 + -0.05. Let f = o + m. Which is the second biggest value? (a) -2\/19 (b) 1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -9*n**2 + 30*n + 31. Let z(f) = 5*f**2 - 15*f - 16. Let a(b) = 6*u(b) + 11*z(b). Give a(-14).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of 89*q**2\/2 + 73. Let u(x) = -2*x - 1. Let f(d) = -d**2 - 12*d - 6. Let j(z) = -f(z) + 6*u(z). What is j(m(c))?\nAnswer: 7921*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 62\/20 - 12\/120. Solve 0 = -j - 0*j + z + n, -3*j + 5 = -z for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 m when three letters picked without replacement from hhhhhjhjhhjmmmmhhh?\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2aba (base 16) in base 3?\nAnswer: 120000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = 5*i + 4. Let b(y) = 6*y**2. Let u(j) = 31*j**2. What is i*u(q) - 22*b(q)?\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-199 - 297 + 81 - 84)*(-4*y + y**3 + 4*y + (-y - 2*y + 2*y)*(5*y**2 - 3*y**2 - 4*y**2) - 17*y**2 + 17*y**2 - 7*y**3).\nAnswer: 1996*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -10*w + 14. Let f be x(1). Solve -2*h - 3*h + 20 = -5*p, f*h + 3*p = 23 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 5*b + 13757, -155*b = -2*o - 151*b + 6872. What are the prime factors of o?\nAnswer: 2, 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6284988 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8552*y + 8554*y + 7*k - 27, 3*k - 23 = 2*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 16678647 + 59\nAnswer: 16678706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) -0.008 (b) 4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 234852455 and 430?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + -1. Let o = -1 - -2. Let x = o + n. What is the third smallest value in 7, -0.1, x?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2426 - 2429. Put 2, -1, -2, -17, s in ascending order.\nAnswer: -17, s, -2, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 1 = 5*h. Let x = 2 + h. Suppose 0*k - 4*k + 56 = x. Is 14 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1755768, 3511488, 5267208, 7022928?\nAnswer: 8778648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 488426 + -255285. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(2\/71)*y**(-5)*y)\/(((y**(-15)\/y)\/y)\/(y**(4\/3)*y*y)) assuming y is positive.\nAnswer: y**(3698\/213)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 17*q**2 + 398*q + 2143. Give y(-15).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of 0*z + 6*z**2 + 1\/6*z**3 + 1\/12*z**4 + 1\/60*z**5 + 0. Solve d(r) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 11 + (-260)\/24 - (-5243)\/6. Let b = u + -370. What is the highest common divisor of b and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-30))\/(61\/(-183))*(-364)\/28.\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 471 and 459.\nAnswer: 72063","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 14*n + 316. Let k(f) = -27*f - 638. Let c(b) = 3*k(b) + 5*v(b). What is c(-30)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 51691?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + -1. Let a(g) = 5*g. Let x(b) = -b. Calculate w*a(o) - 18*x(o).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -94077051*v**3 + 218*v**2 - 74600 wrt v?\nAnswer: -564462306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from cccccccccc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, t: 2, e: 5}. What is prob of sequence cte?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + q - 3*q - 176, -2*q + 160 = 4*j. Suppose 2*u = 5*u - 6. Let k = 12 + u. Calculate the greatest common factor of k and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - 3. Let d = o - 6. Let t(f) = -f**3 - 9*f**2 + 10*f + 2. Let w be t(d). Solve -w*q = 2*q - 4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18123263, 18123257, 18123251, 18123245, 18123239?\nAnswer: 18123233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -5*d**3 + 10*d + 6. Let z(y) = 9*y**3 + y**2 - 19*y - 9. Let j(i) = 7*q(i) + 4*z(i). Give j(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55638598 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 42*u**3 + 2*u**2 - u. Let f be i(1). Let h = 48 - f. Suppose -h*g + 5 = -2*l - 3*l, 3*g = 4*l + 1. Solve -r = -g*r + 8 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 1924 = 4848. Calculate the greatest common factor of z and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 1)*(1 - 2*s - 1) + (3*s - 4*s - s)*(-3 + 1 + 3) - 3 - 2*s + 3.\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -957 + 964. Let s(h) = 2*h - 17. What is s(y)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/9 (b) -3\/65890 (c) 72\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.3 - -0.2. Let k = -1.9 - -2.1. Which is the nearest to k? (a) m (b) -4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/52 and -55\/273.\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1065 is divided by 522?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 205 a factor of 871304120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((-4*sqrt(1300)*-2)\/(sqrt(4) - -2*sqrt(256) - sqrt(484)*1))**2 + 3 + -4.\nAnswer: 5191\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 721 = -157*l - 64 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 4 = -3*b, -x + 748 = 2*b. Suppose -x = -5*q - u + 702, 584 = 2*q + 4*u. Does 18 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-29)\/((-5742)\/(-1998)) + 9\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 239625.\nAnswer: 3, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 0 - 4*f + 1 - f + 3*f. Let l be z(-4). Suppose -4 = 2*h, -2*c + 112 = c - 2*h. Calculate the highest common factor of c and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 218, 134, 38, -76, -214, -382, -586?\n\"Answer: -w**3 - 77*w + 296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 22663887 to the nearest one hundred thousand.\nAnswer: 22700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -539, 199?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + 11. Suppose 0 = -2*u + 5*p + 69 + 51, 5*u = -4*p + 300. What is the highest common factor of u and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 AM and 6:32 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -47 + 49. What is the tens digit of 0 + (-3 + r - -64)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 - c**2 - 1. Suppose -2*x = -7*x + 5. Let a(d) = -13*d**3 - 6*d**2 + 2*d - 5. Let v(w) = x*a(w) - 4*m(w). What is v(1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13526875 to the power of 1\/3, to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12? (a) -134\/3 (b) 1 (c) -1.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 82248*m**2 - 36396?\nAnswer: 164496*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j + 5 - 5)*(j**2 - 540*j**4 + 546*j**4 - 3*j**2).\nAnswer: 12*j**5 - 4*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*m + 37*m = 15*m - 42 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 34*g**3 - 152*g**2 wrt g?\nAnswer: 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + -3)\/(-5 - -4). Suppose 4*s + 11 = 3*d, d + 5*s + 6 = -k*d. Solve -4*j = -r - 3 + d, -j - 2 = r for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/252 and -59\/16162748.\nAnswer: 145464732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of d**2 - 3. Let i(z) be the third derivative of -z**5\/15 - z**2. Determine i(u(s)).\nAnswer: -16*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(12\/13))**(-5)*d**(-4\/13)\/(d**16*d) assuming d is positive.\nAnswer: d**(-350\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15*x**4 - 3133289*x**3 + 823693707*x**2 wrt x?\nAnswer: -360*x - 18799734","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 8. Suppose 1 = -3*t - 4*o, o - 2 = -0*t - 3*t. Let i = t + -4. Which is the third biggest value? (a) 1 (b) g (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 3, 47 in decreasing order.\nAnswer: 47, 3, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18391 or -1066741\/58?\nAnswer: -1066741\/58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of 49*l**4 + 1148*l**3 + 960*l**2 + 272*l - 434. Factor g(a).\nAnswer: 4*(a + 17)*(7*a + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 + 96.9351?\nAnswer: 97.3351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27 - 66. Let z be 130\/3*h\/(-65). What is the highest common divisor of 481 and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of -2*n**3 - 4. Let o(p) be the second derivative of p**3\/6 + 4*p. Determine d(o(q)).\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7320 and 120.\nAnswer: 7320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 11. Let g = -80\/383 + 1326\/2681. Which is the fourth smallest value? (a) 1\/4 (b) x (c) -1\/5 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 384 is divided by 22?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hd when two letters picked without replacement from dyndyqyynyyydnqdhd.\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 61168981 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + o - 12, 2*x - 8*o = -4*o - 12. Sort x, -1, 15, -6 in increasing order.\nAnswer: -6, -1, x, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15391920 and 2242.\nAnswer: 292446480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 - 22*k**2 + 16*k + 4. Let f be z(-23). Let s = -161 + f. What is the least common multiple of s and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -198240+13.4\nAnswer: -198226.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t**3 - 2518261 + 2518261.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 14 + 301*a - 72 - 18 + 13. Let x(b) = -19*b + 4. Let w(j) = -4*t(j) - 63*x(j). Let y(z) = 27*z. Give w(y(i)).\nAnswer: -189*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 466819 is divided by 49?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 54285330 and 24?\nAnswer: 217141320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 171291?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of w**7\/840 + w**6\/360 - w**5\/120 - w**4\/24 + w**3\/2 + 4*w. Let i(u) be the second derivative of s(u). Factor i(p).\nAnswer: (p - 1)*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -18*z**2. Let b(q) = -575*q - 270. Give b(y(r)).\nAnswer: 10350*r**2 - 270","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1a - 5b?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 - 101*k**2 - 469*k + 1057. Calculate x(-96).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 456 and 370500.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -14*v + 18. Let d be i(1). Suppose 3*s = -5*h + d, 6*h = 4*s + 2*h - 16. Solve n - 1 = p - 4*n, 4*n - 16 = -s*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 180798420?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from brtbrtrrr. Give prob of sequence ttr.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1485807 is divided by 51?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -81 - -82. Let h = -62 + 63. Which is the closest to y? (a) h (b) 0.2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7854684*r**3 + 33044363 wrt r.\nAnswer: -23564052*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 901247 is divided by 113.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18850*y - 18311*y - 21021 for y.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 281204824?\nAnswer: 2, 35150603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -577242225, -577242224, -577242223, -577242222?\n\"Answer: g - 577242226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1779990858?\nAnswer: 2, 3, 61, 137, 11833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/c**12))**(1\/16)*c**(5\/4)\/c*c**(-14))**0 assuming c is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v. Let i(o) = 108*o**2 + 3*o. What is i(m(q))?\nAnswer: 432*q**2 + 6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4750559 to the nearest integer?\nAnswer: 2180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (264\/9)\/(-8)*(-12)\/2?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*k + k + 2*k)*(3 + 3 - 5) + 288*k + 94*k + 414*k - 2*k + 4*k - k to the form q*k + y and give q.\nAnswer: 805","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3474927995 rounded to 4 dps?\nAnswer: 1.3475","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8919576 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125*u + 1486 + 2152 - 1138 = 0. Put u, 4, -3.1, 0.5 in increasing order.\nAnswer: u, -3.1, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11501548 or -11501560?\nAnswer: -11501548","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20496 and 131376?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + 2*b**3 - 2*b**3 - 9*b**3 - 2*b**3 + (-2*b**2 + 3*b - 3*b)*(-b + 2*b - 3*b).\nAnswer: -7*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1141 + 177067?\nAnswer: 175726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 3*n + 9 = 0, -27 = -2*q - 5*n. Let p(h) = 2*h**2 - 11*h + 6. Let l(w) = 2*w**2 - 11*w + 5. Determine q*l(t) - 5*p(t).\nAnswer: 2*t**2 - 11*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*s - 86*s = -x + 207939, 4*x - 5*s - 831672 = 0. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1106276 a multiple of 906?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -5018 divided by 26\nAnswer: -193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 5:10 PM?\nAnswer: 3:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 97*v. Let s(o) = 0*o**2 - 22*o**2 + 14*o**2 + 9*o**2. What is s(n(m))?\nAnswer: 9409*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 + 9*p**2 - p - 9. Let i be z(-9). Suppose 2*v + 8 - 42 = i. What are the prime factors of v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -28294 at most -28292?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 62279658 a multiple of 333?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 285707971 to the power of 1\/6, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11 and 31?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(2 + (-5)\/2). Let o = 52 - 94. Let w be 219\/o + 4 - 2\/7. Is n less than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34049123 = 248*z - 33069846 - 36298767. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 69568306*y**3 + 152989*y**2 + 56*y.\nAnswer: 417409836","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 585207784 and 2478.\nAnswer: 1755623352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 571 <= 571?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -319*c - 77626126 = -160856633 - 203445223. Round c to the nearest one thousand.\nAnswer: 899000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2382072 divided by 30936.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of b**3\/2 - 13*b**2\/2 - 146*b. Suppose -5*r + 40 = 5*g, r + 17 = g + 3*g. What is the smallest common multiple of 2 and x(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -30.25149765 + 120.45149064. Let x = c - 90.2. What is x rounded to six dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9878 is divided by 183?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -26249 >= 662?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {x: 8, g: 2, y: 8}?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + 8*h + 2*h)*((2 + 3 - 7)*(-h**3 - 2*h**3 + h**3) + 3 + 29*h**3 - 30*h**3 - 804*h**2 + 803*h**2).\nAnswer: 30*h**4 - 10*h**3 + 30*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1650 = -11*y + 9735. Does 18 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3014?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -w + 5*t, -5*w + 1 = -t + 19 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.073 * -41\nAnswer: 2.993","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 208 + -202 - (18 + -1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 + -61. Let n = 65 + t. Is n a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 + -14. Let z = -23 - g. Suppose -z*q = -6*q + 560. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**4 - 9*y**3 - 22*y**2 + 32.\nAnswer: -(y - 1)*(y + 2)*(y + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i**(1\/2)*i)\/i*i)**(1\/27)*i\/(((i\/i**(-1\/9))\/i)\/i)*i**(-1\/3))**(-41))**(-1\/28) assuming i is positive.\nAnswer: i**(1189\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*k + 81*k - 232. Let 31\/8*j**3 - 15\/8*j + 3*j**k - 2*j**5 - 11\/4*j**2 - 1\/4 = 0. Calculate j.\nAnswer: -1, -1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 828 = 11*u - 547. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2388769 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 - -7. What is the remainder when (0 - 40)\/j + -2 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36, 48, 60, 72?\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q*q**(-1))\/q)**(-4)\/(q\/q**8*q\/((q*q\/q**(-4))\/q)))**(-20))**(-6\/19) assuming q is positive.\nAnswer: q**(1800\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*k + 9*k**4 + 155084 - 155089 - 4*k + k**2 to the form o + q*k**4 + i*k**3 + w*k + y*k**2 and give q.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -7. Suppose y = 20 - 6. Suppose -16*d = -y*d - 8. Solve w = -a + 3*a + d for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3830, -3831, -3832, -3833, -3834?\nAnswer: -3835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - 105096a6?\nAnswer: -105096a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 253169.\nAnswer: -759507","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -30*z. Suppose 0 = -3*t + 4*t + 1. Let v(b) = 3*b**2 - 2*b + 3. Calculate the remainder when l(t) is divided by v(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 11 in increasing order.\nAnswer: -4, -1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 2) in base 15?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28000 by -28.\nAnswer: -1000","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m - 39*m + 14*m)*(4*m**4 + 44*m**3 - 44*m**3 + 63*m**4).\nAnswer: -1876*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8\/10)\/((-1)\/5). Let y = -2 - n. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45465496 is divided by 148580.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 27\/21 - 1 - (-46)\/(-14). Let i(x) = -12*x + 5. Let m(j) = -6*j + 3. Determine g*i(d) + 5*m(d).\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.11 + 6.01. Let r = -0.9 + 1.8. Let k = z - r. Sort 0.5, 0.2, k.\nAnswer: 0.2, 0.5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4}. What is prob of picking 2 c?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145*n = -376*n + 155*n + 2888 for n.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1442215615?\nAnswer: 5, 19, 2617, 5801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/41130 and 73\/33.\nAnswer: 452430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1388983 (base 12) to base 3\nAnswer: 21100211102200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -162919 and 83?\nAnswer: 163002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3103203 (base 4) to base 10.\nAnswer: 13539","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1961 + 2093. Calculate the highest common divisor of 572 and b.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23595 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 15605 = -5*x, -7028 = 5*v + 3*x + 8529. Is v <= -3116?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 c when three letters picked without replacement from cmmmmcmmmmm.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 194542152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17*c**4*q + c**4 - 33*c**3*q - 61*c**3 - 19*c**2*q + 1958*c*q + 23*q wrt c.\nAnswer: 408*c*q + 24*c - 198*q - 366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 6, a: 7, q: 2}. What is prob of sequence nnnq?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 941 - 128 = 0. Suppose w - 36 = f. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 24*u**2 + 222*u - 12. Let y be x(-22). Suppose 17*o - 16349 = y. What is the thousands digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 9, r: 3}. Give prob of picking 1 r and 1 j.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 14 = s - 3*s, -2*s = -2. What is the second derivative of -12*o - 5*o**4 - 4*o + o**4 - o**k wrt o?\nAnswer: -60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 949 = 506. Let i = 1245 + q. List the prime factors of i.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j. Let r(w) = -3818*w + 2. Let l(p) = -39959194*p + 20933. Let i(o) = 4*l(o) - 41866*r(o). What is y(i(k))?\nAnswer: 7612*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + w**2 - 1)*(-2 + 5 - 4)*(23*w + 3*w - 20*w).\nAnswer: -6*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**5 - 50*z**4 + 140*z**3 - 120*z**2.\nAnswer: 5*z**2*(z - 6)*(z - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(3\/1*-1). Let j = -2\/5 - -4\/5. Let y = 10.34 - 0.34. What is the second smallest value in y, q, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 64133259?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -15 + -2000?\nAnswer: -2015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b. Let g(m) = 8785*m**2. Give g(u(l)).\nAnswer: 8785*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4\/1217 - -14632\/8519. Find d, given that 9\/7 - f*d + 3\/7*d**2 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvvi when four letters picked without replacement from {l: 2, v: 3, i: 3, u: 5}?\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 3*l**4 - 4185*l**3 + 1522224*l**2 - 43256532*l = 0?\nAnswer: 0, 31, 682","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g + 43. Let a be i(19). Let x(p) = 9*p - 14. Let o(u) = -4*u + 7. Let t(l) = 7*o(l) + 3*x(l). Let z be t(a). Sort -8, z, -0.5 in ascending order.\nAnswer: -8, -0.5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 3*u - 2. Suppose -u*i = 5*z - 4*i - 171, -3*z - 2*i = -109. List the prime factors of z.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100001011110101001 - 1001?\nAnswer: -100001011110110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107134?\nAnswer: 2, 17, 23, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of 11*s**5\/30 + s**4\/4 - 2*s**2 - 240. Let v(o) = 43*o**2 + 11*o. Determine 11*n(u) - 6*v(u).\nAnswer: -16*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gglogwgggol. What is prob of sequence og?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -291 in 2009\/2, 0.1, 4\/5, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17699?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 91654938 divided by -4?\nAnswer: -45827469\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 4*t**2 + 2*t + 1. Let h = 8 - 6. Let v be p(h). Let m = -8 + v. Is 5 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -55*o - 575. Let a be u(-12). What is the greatest common factor of 6715 and a?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 PM and 3:46 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -45242714, -90485429, -135728144?\n\"Answer: -45242715*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 3115 - 2370 = 0. What is the hundreds digit of 1*(u\/(-5) + (-2)\/5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -93110*a + 1396654. Determine f(15).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 542.6 + -68.6. Let w = -475 + q. What is the nearest to w in 2\/11, 2\/33, 5?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4*o - 24 = 0. Let i(q) = -q**3 - 8*q**2 - 1. Let x be i(o). What is the smallest common multiple of 7 and (x\/(-2))\/((-3)\/(-6))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 406 a factor of 552566?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 56348615 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -4*z + 6. Is 23 a factor of x(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.8 (b) 84\/37 (c) 29 (d) 1\/4 (e) 1 (f) 3 (g) 8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g**2. Let r(a) be the first derivative of 9*a**3 - 18. Determine r(n(q)).\nAnswer: 108*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*c**3 + 2*c**3 + 2*c**3)*(2 + 5 - 58) - 8*c**3 - 208*c**2 + 208*c**2 - 3*c as g*c**3 + w*c**2 + u*c + m and give g.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 AM and 8:12 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 453 (base 16) to base 10\nAnswer: 1107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-539 - 437 + 73 - 427 + 360)*(-f**4 - 2*f**4 + 5*f**4).\nAnswer: -1940*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 51*r**3 - 3*r**2 + r + 3. Calculate h(-1).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 1. Let p(n) = 607390*n + 874826*n + 576098*n + 291687*n - z. Let b be p(2). Round b to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 - 12*y**2 + 64*y - 5. What is g(-16)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -4*c**3 - 3*c**2 - c + 2. Let h be o(-2). Let b = h - -6. Is 11 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*110576.\nAnswer: 221152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1280, -1279, -1278, -1277, -1276?\nAnswer: -1275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.261*-75609.\nAnswer: -19733.949","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 9*i**2 + 1 - 5 + 4 as d + j*i + s*i**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-56)\/6)\/(-2)*(-201)\/(-8978). Is -1 bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.151777 and 32.6403.\nAnswer: 32.792077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 5*c**2. Let o(g) be the second derivative of -g**5\/30 - 3*g**2\/2 - 2*g. Let a(m) be the first derivative of o(m). Give l(a(u)).\nAnswer: 20*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13181180?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2*v**2 + v. Let c(h) = -3*h**2 + 2*h. Let b = 113 + -106. Determine b*z(s) - 4*c(s).\nAnswer: -2*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1309?\nAnswer: 7, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1213411025 + -1?\nAnswer: 1213411024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 20.6483464+119\nAnswer: 139.6483464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - (-26 - -45)) + 25 + -9 + 0.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7536 + -7532. Solve n*h - 4*d - 3 = -11, -h + 3*d = 6 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**2)**(1\/2))**12\/((z*z*z*z**(7\/4)\/z)\/(z*z\/(z*(z\/((z\/z**(-7))\/z))\/z))*z*(z*z*z*z\/(z**5*z)*z)\/z*z\/z**(-1\/11)) assuming z is positive.\nAnswer: z**(711\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1750 is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -194*p - 8. Let y(m) = -1. Give o(l) - 5*y(l).\nAnswer: -194*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4087*n**3 + 5373*n**2 wrt n.\nAnswer: -24522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r**3 - 4*r**2 + 8*r**2 - 37*r**2 - 7*r**2 - 6*r**3.\nAnswer: -6*r**3 - 40*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 288566603?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.016918*5.\nAnswer: -0.08459","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1212120 (base 4) to base 15.\nAnswer: 1e1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2300?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**22)\/(b*(((b\/(b*b**29)*b)\/b)\/b)\/b)*(b\/(b*b**(-3\/4)*b))**(-3\/32) assuming b is positive.\nAnswer: b**(1155\/128)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1155 = 42*q - 49*q. Let z = q - 158. Solve z = -l - b, 2*l - l + 2*b = -10 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-30)\/50*1*-5. Suppose 3*d - d = 2. Let k be 20\/12 + d\/m. Solve -t + 5*c - 23 = 3*t, -k*t + c = 7 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*o - 55 = 4*o. Calculate the remainder when 34 is divided by o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + 6a?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 5*n - 24 = 0, n = -54*g + 49*g - 18 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -3*s - 6. Let n be y(-4). Suppose z - 10 = n*z. Is ((-4)\/12)\/(z\/1794) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101 times 138.44?\nAnswer: -13982.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 0 + 15\/7*i**2 - 1\/7*i**4 + 0*i - 2*i**3 = 0.\nAnswer: -15, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14*((-4)\/(-10))\/(14\/50)*(-1479)\/7395\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1 - (-21)\/4) + -4)*20\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -30 + 15 + 2*v + 16 - 4*v + 5*v + v + (-5*v + 3*v + 0*v)*(-3 + 2 - 1) + v - v - v.\nAnswer: 7*v + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*n + 18768 = -11*n. Suppose -31*b - n = -34*b. What is the hundreds digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/4*(-1)\/(1\/(-3)). Let r(h) = h - 2. Let w(p) = -2*p**2 - 3*p + 6. Let n(d) = b*r(d) - w(d). Let g(i) = -2*i - 2. What is g(n(t))?\nAnswer: -4*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 181014038 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than -1\/12583?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -926, -3637, -6348, -9059?\nAnswer: -11770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/12 - 130\/(-8). Suppose 6 = 5*u + y. Are u and -2 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 29\/3 of a hour?\nAnswer: 34800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n**2. Let j(o) be the second derivative of 185*o - 35\/12*o**4 + 0*o**3 + 0*o**2 + 0. Determine u(j(f)).\nAnswer: 2450*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -1, 1 in decreasing order.\nAnswer: 1, -1, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**2\/2 - 126853872*q + 8045952420696192 = 0. Calculate q.\nAnswer: 126853872","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 47, -2\/3, -3\/35, -1, 32, 3, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 167\/1680 and -203\/844560.\nAnswer: 5911920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23*y - 2*y - 100 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 6:01 AM?\nAnswer: 11:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 193 and 15247.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 6*i + 53. Give x(-10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2))**0\/(d*d**4*d*d\/d**(2\/11)) assuming d is positive.\nAnswer: d**(-75\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1407*h + 577*h + 372 - 87668 for h.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.188 + -0.152. What is p rounded to 1 dp?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -15 (b) -1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127062*c = -126945*c + 3978 for c.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-10)\/3)\/((-12)\/18 - 0). Find the third derivative of m**4 - m**4 + 399 - 8*m**k + 9*m**3 + 81*m**2 - 401 wrt m.\nAnswer: -480*m**2 + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38777, 38797, 38817, 38837, 38857, 38877?\nAnswer: 38897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one twentieth of a meter?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(1216) + (sqrt(1216) + -1)**2 + sqrt(1216) - (5 + sqrt(38)\/sqrt(2) + 5).\nAnswer: -sqrt(19) + 1209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 PM and 10:25 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -383 or -373?\nAnswer: -373","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59 is divided by 234\/15 - 6\/(-15).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -623 + 1286. Does 9 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 10, -14780 = -x + 109*w - 106*w. List the prime factors of x.\nAnswer: 5, 2953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10807*h**5 - 2*h**4 + 2*h**3 + 63*h**2 + 287?\nAnswer: 648420*h**2 - 48*h + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x + 3. Let f(z) = -z + 2. Calculate -5*f(a) + 4*l(a).\nAnswer: -3*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 l when three letters picked without replacement from rrrl?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 57\/11, -0.2, 3 in descending order.\nAnswer: 57\/11, 3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of -g**4\/15 + 2*g**3\/5 + 36*g**2\/5 - 387*g. Solve z(t) = 0.\nAnswer: -3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 x when two letters picked without replacement from wxhhhwxvhxxhxxhvovh.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/3 - (-51299)\/129?\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23422 - -23516. What is the remainder when 21524 is divided by d?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (882 - 878) + (2 - 1) + 1 + 8.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 + 4*z + 5. Let r be s(4). Let n = -6 - -9. Suppose -16 = n*a - 5*a. Solve -3 = r*p - a for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*o + 2*o + 2*o)*(-4*o + 3*o + 0*o) - 155*o**2 + 67*o**2 + 59*o**2 to the form j*o**2 + z*o + f and give j.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2 and -222.864?\nAnswer: 224.864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 AM and 8:13 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*o + 3*o - 16*o - 8*o as x + l*o and give l.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-22)\/33)\/(3\/((-9630)\/4)). Let r = x - 132. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1\/10, 0, -1?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 + 19 + 21 + 2*y - 66.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ciguojgoucjo. Give prob of sequence uju.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + i = -i - 80, 0 = -5*y - i + 170. Let k be ((-30)\/(-21))\/(1\/y). Let d = k + 12. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-274 - 17672226\/(-64500))*5\/(-12)\nAnswer: 1\/200","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19 + 9. Let x = a - -8. Is x\/5 + (-1867)\/(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 3)*(47 + a - 45 + a).\nAnswer: -2*a - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 455090.3 centuries in decades?\nAnswer: 4550903","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, p: 2, a: 2, h: 2, y: 1, w: 1}. What is prob of picking 1 a, 1 p, and 1 h?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -33.8 + 34. What is the closest to z in 2\/5, 2, -0.3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2672550538?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, -4, 3 in increasing order.\nAnswer: -4, -3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27 + 33. Let y = -40 + x. Solve 5*g + y = g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 1 + 9 = 0. Let s = x - 0. Suppose 0 = 5*g - 4*g. Solve g*i = s*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 116859?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j*j\/(j**(1\/3)*j*j))*j*j))**26*(j\/j**(-6))\/(j*j\/j**6*j) assuming j is positive.\nAnswer: j**(-152\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 22*r + 35. Let o(f) = -10*f - 17. Calculate -4*a(b) - 9*o(b).\nAnswer: 2*b + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1212*o - 1330*o + 354 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i**3 - 836*i + 836*i.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 39 - 42. Sort -5, c, 5 in decreasing order.\nAnswer: 5, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 5*p - 15030, 2*u - 3394 = p + 2617. Let z(t) = t**2 + u - 3005. Let j(k) = -3*k. Give j(z(f)).\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -699 + -1040. Let d = l - -2909. Does 18 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 3:00 PM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cjeaeeebcxajxxc. What is prob of picking 1 c and 2 a?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of -q**6\/360 - q**5\/30 - q**4\/8 + q**3\/3 + 4. Let z(c) be the third derivative of o(c). Factor z(v).\nAnswer: -(v + 1)*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -12*y. Let v(n) = 3. Let q(s) = -32*s - 384. Suppose 0 = 5*l - 5*k + 5, 8 - 6 = k. Let g(t) = l*q(t) + 128*v(t). Calculate b(g(p)).\nAnswer: 384*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(-18))\/(7\/((-28)\/(-20))).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 - (19 + -7)) + -2 + 1 + -2?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4522 by -8.\nAnswer: 2261\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 14 = 4*k - 56, -d - 25 = -5*k. Is (-8)\/20 + (-534)\/d a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*x - 12*x - 55 = 0. Let j(a) be the third derivative of -a**4\/24 + 11*a**2. What is the smallest common multiple of x and j(-1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 l when two letters picked without replacement from leewj?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 4. Suppose 2*d - 6 - 2 = o. Suppose 5*v + 3*i = 21, 4*v = -d*i - i + 22. Put -5, -3, v in increasing order.\nAnswer: -5, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2058 at least as big as -2059?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10000011011 (base 2) to base 5.\nAnswer: 13201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -6*y - 27. Let w be z(-5). Solve w = -2*b + b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13200 = 7*j + 7*j + j. Is j a multiple of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -3*c. Suppose -3*d = -0*d + 5*i + 63, i - 105 = 5*d. Let g = 7 + -5. Let q(l) = -1 - 30*l + 3 - g. Calculate d*n(s) + 2*q(s).\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10)\/(1 - -4)*(-79)\/2. Suppose -74*a - 1640 = -k*a. Suppose 6*p - 2*p - a = 0. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 698 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28 + 4. Calculate the remainder when n is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4\/249, 0.3.\nAnswer: 4\/249, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) -1\/8 (c) 4048\/5 (d) 40 (e) 1 (f) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6412 and 88852.\nAnswer: 621964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three eighths of a gram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c + 61. Let o(s) = 31. Let x(p) = 7*o(p) - 3*y(p). Let l be x(5). Solve 51 = l*k + 67 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z. Let o(b) = 108403449*b. Give n(o(a)).\nAnswer: -108403449*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 325 and 325 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of -i**6\/210 - 2*i**5\/35 - 3*i**4\/14 - 8*i**3\/21 + 15*i**2 - 2*i. Solve r(v) = 0 for v.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -4*k - 20, 4*m = k + 73 - 98. Sort 0, k, 2, -1, -1909 in ascending order.\nAnswer: -1909, -1, 0, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oue when three letters picked without replacement from ootuoye.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 124 = 247\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 798 = -4*o - z + 6*z, 2*z = -2*o - 390. Let l = o - -987\/5. Sort 9, l, 3, 0 in descending order.\nAnswer: 9, 3, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2. Let i(v) = -33*v. What is i(n(q))?\nAnswer: 33*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of n**5\/60 - 7*n**4\/24 + n**3\/3 - 13*n**2. Calculate p(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/380 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 50.589 (b) -4\/5 (c) 0.03 (d) -3\/4 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 17 = -2*s + 3*s, 4*s - 2*t = 18. Let m be s\/(-5)*(9 + -19). Suppose -m*j = -3*j - 5. Solve 10*g = j*g - 25 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22223535, 44447070, 66670605, 88894140, 111117675?\nAnswer: 133341210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 0.3 (c) -757 (d) -13.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-144)\/(-33) - (-260)\/(-715). Solve 3*r - 3 = 3*m, -2*r + 19 = h*m + 5 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 228 divided by -228\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 375d + -e?\nAnswer: 374f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -2) + (-12 - -13) + -6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -15\/7, -8 in ascending order.\nAnswer: -11, -8, -15\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 59011?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2819 is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -94*w**3 - 11*w**2 - 117*w - 269. Is b(-12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010 (base 2) to base 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 4 = 4*n - 14, -2*b = 3*n - 3. Let g be 58\/18 - b\/27. Solve -7*i**2 + 0*i**3 - 3*i**g - 2*i**3 - 2*i = 0.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 110aab - 5?\nAnswer: 110aa6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 202*h**2*w - 65*h**2 - 66*h*w - 1381*h wrt w.\nAnswer: 202*h**2 - 66*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 - -18.01. Let q = 89\/520 - 3\/65. Which is the second biggest value? (a) h (b) q (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*f + 26798 - 27398. Suppose 0 = 3*v - 9, -2*g + 2*v + v = 1. Sort 0, g, f.\nAnswer: f, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 6\/7, -94.592, -5?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -2*o**2\/15 - 40597424*o\/15 - 206018854429472\/15 = 0?\nAnswer: -10149356","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1))**48)**8*((b**(-1\/4))**(-4\/9))**(6\/17) assuming b is positive.\nAnswer: b**(-19582\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 50838.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 20 - q + 0 - 103*q**3 + 114*q**3 - 2*q + 2*q as d*q**3 + t*q + b*q**2 + g and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2 - 3*j + (-1 + 1 + 8*j)*(-4 + 4 + 5) in the form y + i*j and give i.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 25632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 33252 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 4*k - 1. Let j(v) = -25*v + 6. Let q(t) = j(t) + 6*u(t). Let d(l) = -8*l + 3*l - 7*l**2 + 0*l - 5 + l**2 - l**3. Let r be d(-5). Give q(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3780)\/(-120) - 44)*(-36)\/5 + (-11 - 0)?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1401 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1048?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-18) - 748\/(-198). Let s be ((-6)\/(-1))\/(-15 - (f - -4)). Which is bigger: 2 or s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -194956\/273 + 2146\/3. Let t = x - 12\/13. Let m = 0.9 + 0.1. Which is smaller: t or m?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 410 and 1821835.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.5 + -2.5. Let c = a - 2. Let z be (0 + 0)*(-3 - -2). What is the nearest to z in 2, c, -4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 131 + -119. Suppose -3*u - g*w + 1092 = -9*w, 0 = -4*u + 5*w + 1429. What is the hundreds digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1460?\nAnswer: 2, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 5*r + 145 = 0, -271 = -5*j - 0*r - r. Let q be (14 - (-74)\/(-5))*(-55)\/2. What is the highest common divisor of j and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/4 - ((-165)\/(-6))\/(-11). Let b(l) = l + k*l - 5*l - 1. What is b(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-7))\/(208\/(-104))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 + 11. Put 5, z, 1 in descending order.\nAnswer: 5, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of 0*a + 0*a**3 + 0*a**4 - a**6 + 0*a**5 - 3\/2*a**2 + 2. Find the second derivative of t(n) wrt n.\nAnswer: -120*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 + p - 3. Let d be u(-9). Suppose 73*k = d*k + 12. Suppose -k*b + 4*r = -135, 16 + 125 = 3*b - 2*r. Is b a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-30))\/(3\/27*2).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*v + 0*v + 3 - 3*v - 9*v as z*v + i and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 247 is divided by 42?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from voxolgvlooglvvov. What is prob of sequence ovx?\nAnswer: 5\/672","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 0 + 1)*(-2*a**2 - 48 - 8*a + 22 + 28) as t + s*a + b*a**2 and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 5*c - 8, -4*o = -2*c - 2*c + 32. Let j(h) = -17*h + 9 + 7*h**2 - h + h**3 + 10*h. What is j(o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8 - 1369?\nAnswer: -1361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1043 + 4701 + 7210 = -381*l for l.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 - y + 7. Let a be o(5). Let x = -5 + a. Suppose 0 = 4*j - x - 18. Round j to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19103106 divided by 723.\nAnswer: -26422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 PM and 10:30 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -100 (b) 2 (c) -4909 (d) -1\/9 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 6, s: 1, q: 6, n: 3, t: 2}. What is prob of picking 1 t and 1 j?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = k - 11, -k = -w + 10 - 1 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-79)\/3 + (-4)\/(-24)*-4. Let s = -215\/8 - m. Which is the third biggest value? (a) -8 (b) 0.4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-267083)\/(-14057)*24\/(-19)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*c - 1335 = -1257 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1287 and 585.\nAnswer: 6435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -323 - -331?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 11923 at most as big as 918143\/77?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 42780959 a multiple of 767?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 984370344?\nAnswer: 2, 3, 2003, 20477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 92921 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 20, -3*y + 0*y = -5*p - 16. Let n = 0.07 + 0. Let g = n + 0.43. Put -1\/4, g, y in increasing order.\nAnswer: y, -1\/4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/(-36) + (-8212)\/(-18). Let d = -41 + 67. Let s = m - d. Round s to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*n**2 - n + n + 2*n**2 - 4*n**2 - 7*n**2 + (-5*n + 4*n + 2*n)*(-4*n + n + 2*n).\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 - 6*a - 2*a + 8*a - 4 - a**2 - 2*a. Determine c(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of -4739*f**6\/120 + 10511*f**3\/6 + 12171*f**2. Differentiate j(h) with respect to h.\nAnswer: -14217*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = -3*c - 22, -45613*f + 1 - 16 = -45627*f + 13 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of -1505*a**4\/6 + 785*a**2\/2 - 1734*a. Differentiate n(f) wrt f.\nAnswer: -6020*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence imit when four letters picked without replacement from itmiiiitii.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(11) + -1 + sqrt(11)) - (1 + sqrt(11) + sqrt(11) + 2))*-4)**2 - ((sqrt(330) - sqrt(330)*-2)\/sqrt(6))\/(6*sqrt(80)).\nAnswer: -2561*sqrt(11)\/8 + 17616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1219916848 to five dps.\nAnswer: -0.12199","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*y**2 + 5 - 2 - 3 to the form f*y + j*y**2 + b and give j.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/1275 and 191\/510?\nAnswer: 2550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 + 14*f**2 + 49*f + 2. Let a be j(-7). Factor -1\/2*m + 1\/2*m**3 + 0*m**a + 0.\nAnswer: m*(m - 1)*(m + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 + 6?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**4 + 312*t**3 + 4284*t**2 + 7640*t + 3666 = 0. What is t?\nAnswer: -141, -13, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1381247*i**3*z - 3*i*z + 8*i + 1313*z wrt i.\nAnswer: 8287482*i*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 + 3*g - 10. Determine h(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.16 + -0.02. Let n = g + -0.14000024. What is n rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 86685036?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -138.75 times 3583?\nAnswer: -497141.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, p: 1, h: 2, o: 1}. Give prob of picking 1 o, 1 m, and 1 h.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 - 4*c**2 - 5. Is 8 a factor of p(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -104184, -208359, -312518, -416655, -520764, -624839?\n\"Answer: n**3 + 2*n**2 - 104188*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is u in u**5 - 7338*u**4 + 13483485*u**3 - 80175528*u**2 - 845900172*u - 1451472048 = 0?\nAnswer: -3, 12, 3666","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - 1)\/(2\/1). Suppose 0 = -f*p - p + 3. Solve -6 = -2*o + 4*g, -2*o + 2*g + 11 = p*g for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -88, 500, 1752, 3668, 6248, 9492?\nAnswer: 13400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*d**3 - 6*d + 6*d - d**3 - 2*d**3 + 4*d**3 + (d**2 - 2*d**2 + 3*d**2)*(d + 5 - 5).\nAnswer: 10*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 4*k**5 - 1448*k**4 - 4384*k**3 + 1448*k**2 + 4380*k = 0?\nAnswer: -3, -1, 0, 1, 365","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of r**4\/8 - 7*r**3\/3 + 4*r**2 - 9. Let v(m) be the second derivative of w(m). Does 3 divide v(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a gram in milligrams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 324070 is divided by 53998.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/13 (b) 0 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1156073 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 16b (base 12) to base 7\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19 + 33*g + 19 + 2*g**4 - 2*g**3 + 9*g**4 wrt g.\nAnswer: 132*g**2 - 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) 91 (b) -2\/155 (c) -3\/7 (d) -0.1 (e) -0.5 (f) 113\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -145 - -143. Is 81 - (-3)\/(-2)*m\/3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-40))\/(-13*9\/(-14040))\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 28*o + 38*o - 65*o. Let h(z) = -47*z - 2. Let b(j) = 14335*j + 611. Let i(d) = 6*b(d) + 1833*h(d). What is k(i(u))?\nAnswer: -141*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of 161*l**2\/2 + 2*l + 6. Is t(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 10:47 PM?\nAnswer: 8:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -165.6247 rounded to the nearest ten?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l + 32 - l - 15.\nAnswer: -2*l + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -2 (c) -17 (d) 2\/35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 22, -2\/7 in descending order.\nAnswer: 22, -2\/7, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 4 = -2*a, 3*a + c = -8 + 22 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 788?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8344*i**2 - 2*i - 27308 wrt i.\nAnswer: 16688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75098.\nAnswer: 2, 37549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -6*q**5 - 280*q**4 + 1594*q**3 + 13028*q**2 - 36288*q - 186048 = 0?\nAnswer: -51, -4, 6, 19\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36087?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 105250860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 17827 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -77146304 divided by -1.\nAnswer: 77146304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -204, 1, 4, 2, -352 in increasing order.\nAnswer: -352, -204, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*i**4 + 3*i**4 - 2*i**4 + (-2*i**4 - 4*i**4 + 5*i**4)*(4 - 6 + 1) + 0*i**4 - 2*i**4 + 0*i**4 - i**4 + 2*i**4 - 3*i**4.\nAnswer: 3*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/15 - 1588\/(-80)) + 8979\/164 + -55.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-247)\/(-91) - (0 + 3). Which is the second biggest value? (a) -4 (b) j (c) 0 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v**(2\/17)\/v*v)*(v\/((v*v*v\/(v**0\/v))\/v)*v)\/v)**(3\/7))**(-38) assuming v is positive.\nAnswer: v**(2166\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -4*o**2 - 1. Let t(w) = -32*w - 98. Let p be t(8). Let i = 355 + p. Give v(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*i - 126*i + 63 = 0 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4506, -4508, -4510, -4512?\n\"Answer: -2*k - 4504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 47\/1786 + 65\/(-3914).\nAnswer: 1\/103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 250 + -254. Which is the second biggest value? (a) k (b) 0 (c) 3\/5 (d) 1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = -7*s - 80. Let i(o) = 16*o**2 + 5 - 1 + 7*o**2. Does 16 divide i(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46490?\nAnswer: 2, 5, 4649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0572 + 3.5272. What is v rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1209504834 to the nearest integer?\nAnswer: 34778","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -88 + 80.3. Let d = -1.3 + q. Let o = d - -9.000013. What is o rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 419, 3657, 9059, 16631, 26379, 38309, 52427?\n\"Answer: d**3 + 1076*d**2 + 3*d - 661","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12*o**2 + 3*o**2 - 2*o**2)*(10*o**2 + 56*o - 56*o + (3 + 0 - 1)*(-6*o**2 + 15*o**2 + 10*o**2)) to l*o**3 + c + q*o**4 + r*o + y*o**2 and give q.\nAnswer: -528","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -7*b**3 - 2*b**2 + 10*b - 16. Let d(z) = 8*z**3 + 3*z**2 - 11*z + 16. Let y(v) = -6*d(v) - 7*j(v). What is h in y(h) = 0?\nAnswer: -2, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 0.06?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 AM and 2:29 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of 2\/5*g**5 + 58*g + 0*g**3 - 147 - 7*g**4 + 0*g**2. What is the derivative of z(m) wrt m?\nAnswer: 8*m**3 - 84*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + 1 - (-1 - 1). Suppose 0 = s*i + 7 - 31. Suppose -3*d = -4*u - 6, -d - 2*u - i = -4*d. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -49. Let a be 144\/q - 3\/7. Suppose 2\/9*t**a + 4\/9 + 8\/9*t**2 + 10\/9*t = 0. What is t?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1465650737?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/1018 and -77\/17452?\nAnswer: 8883068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -37 + 16. Let z = 29 + o. Let i = 7.9 - z. Which is the nearest to -0.6? (a) 5 (b) -0.3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 + 2 + 0)*(-3 - 2 - 4) - 1 + 0 - 2 + (6 + 11 - 10)*(5 + 0 - 4) + 2 + 2 - 5)*(-40 + 40 + 17*i) to the form a + m*i and give m.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 + 9. Let n be c\/(-4) - (0 - -8). Calculate the common denominator of n\/21 + 645\/28 and -97\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yakmyyrmbyakmymrrkka. Give prob of picking 1 r, 1 m, and 1 y.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of -11*j**4\/12 - 53*j**3\/6 - 5*j**2 + 3*j. Differentiate d(h) with respect to h.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1596 is divided by 225.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 83, -4, -82 in ascending order.\nAnswer: -82, -4, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -15, -104, -255, -468, -743, -1080?\n\"Answer: -31*p**2 + 4*p + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 9580246, 9580244, 9580242, 9580240, 9580238?\n\"Answer: -2*n + 9580248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12856 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -78*l - 1874. What is s(-24)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 799673\/35940 - 2\/8985. Calculate the common denominator of 85\/8 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28 + 3. Let c be (-36)\/10 + 10\/g. Suppose -5*q - s = 6, 6 = -q + 2*q + 2*s. Sort -5, q, c.\nAnswer: -5, c, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -380\/2301 + 2\/177. Suppose 0 = 3*u - 2*u - 4. Let o be (-1)\/(2\/(-14)) - 153\/21. Which is the closest to 1? (a) u (b) o (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-3) + 3895\/615?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4 from 5.3.\nAnswer: 9.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 3*z = 5, -3*o - 4*z = o + 8. Suppose h + o = 3. Solve u - 4*u - 1 = s, -2*u - 6 = -h*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -9 - 25*k**2 + 22*k**3 - 10 - 23*k**3 + 22. Let x be v(-25). Which is the nearest to x? (a) 5 (b) 0.05 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 - 4*p**2 - p - 2. Let d be x(-4). Let h be 24\/30 - (d\/(-10) + 0). Let u(r) = -1 + h - r + 4 - 5. Determine u(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q - 2. Let r be t(3). Is r\/((-24)\/13 - -2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 3*v**2 + 2*v + 11. Let p be r(4). Let k = 71 - p. Suppose -15 = -5*b + k*b. Calculate the greatest common factor of 3 and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 41\/193, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 374279489 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(42)\/(-1*sqrt(6)*4).\nAnswer: -sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 PM and 12:34 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -1891*h - 15433. What is i(-8)?\nAnswer: -305","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-4)*(-96)\/24?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -13*f**2 - 12*f - 6. Let u(q) = 24*q**2 + 20*q + 10. Let k(y) = 10*i(y) + 6*u(y). Let n(s) = 2*s - 2*s - 6*s**2. Give n(k(a)).\nAnswer: -1176*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of -x**8\/1680 + x**6\/360 - 6*x**3 - 22*x**2. Let n(o) be the first derivative of t(o). Let n(f) = 0. What is f?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a meter in millimeters?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 + f + 13. Give r(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.7 and 32.8.\nAnswer: -55.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of -7*d**5\/60 + 4*d**3 + 21*d**2. What is the first derivative of f(n) wrt n?\nAnswer: -14*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-26 - (-1638)\/52).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -3*j**3 + 39*j**2 + 2147*j + 27. What is w(-21)?\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*o - 5*w, -w + 16 = -4*o + 13 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1941002.0182 + -1941173. Let h = y + 171. What is h rounded to 3 dps?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 4 + 2)*(0 - 2 + 0)*(4*q**2 + 5*q**2 + 9*q**2) to l*q + x*q**2 + z and give x.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t = 14*t - 10. Suppose -3*v + 36 = 3*d, t*v - 50 = -3*d + 10. Solve 28*p - 25*p = v for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + k - 1 = 0, o - 796 = -k - 791 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 3*n**3 + 5*n - 2. Let x(i) = i**3 + 7*i**2 + 7*i + 9. Let a be x(-6). Let o be r(a). Let z = o - 26. Is 34 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4356 to the nearest 100.\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*q - 6*q + 3*o + 39 = 0, o + 9 + 1 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12.95 + 0.55. Let m = -246.4 + 260. Let x = m - w. Which is the closest to x? (a) -4 (b) -5 (c) -6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n + 5. Let z be m(0). Let p be (-3 - (-7 - -3)) + z. Suppose -u + p - 1 = 0, c - 5*u - 40 = 0. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(8\/(-5))*2\/10\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 - 22*t - 9. Let s be m(-11). Let d = -103 + s. Suppose -5*z + d + 11 = 0. Solve z*h + 0 = -4 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 338?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1074200\/700 + (0 - 8\/14). Calculate the greatest common factor of q and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 254803 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -34 - (-375 + 451).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a + 2*a + 2*a - 1 + 1 - a + (-1 - 4 + 3)*(-4*a + a + 4*a) + (3*a - a - 3*a + (-3 + 2*a + 3)*(0 + 1 + 1))*(2 - 7 + 2).\nAnswer: -10*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f**2 - 17*f - 6. Let g be m(9). Suppose 2*x + 4 = 4*i, 0 = -g*x + 5*x + 4. Solve i = -0*p + p + 5 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 358417 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2147 + 3321. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53111 (base 11) in base 7?\nAnswer: -441312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - -890?\nAnswer: 892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together 7610.18 and 0.02.\nAnswer: 7610.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -27*v**4\/2 - 11126556*v**3 - 474720375*v**2\/2 + 161948979*v - 27197544 = 0. Calculate v.\nAnswer: -824168, -22, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14127 + 14136. Solve q = -10*b + 69 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10174 is divided by 48?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 14*n = -13*n + 10, 5*n = 5*h - 30 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 700528.\nAnswer: 2, 43783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 7:13 AM?\nAnswer: 1:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 56.828 + 0.172. Is g not equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9618 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.8, 100, 41 in decreasing order.\nAnswer: 100, 41, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2 - 0.3. Let l = -29.5 - -30. What is the biggest value in 0.4, l, z?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5 - (6 - (6 + 21)). Suppose -d*m + 72 = -14*m. Calculate the greatest common factor of m and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -3*c. Let t(l) = -12*l - 66538. Calculate r(t(p)).\nAnswer: 36*p + 199614","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3531 = 19*r - 22*r. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -17 + 2865168\/400 + 4\/50?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, -18124, -4?\nAnswer: -18124","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 + 2*t. Let h(i) = -32*i**2 - 17*i. Let y(p) = 2*h(p) + 10*o(p). Find the second derivative of y(j) wrt j.\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.046 (b) 3 (c) 107 (d) 422\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29516150\/261 - -113089. Calculate the common denominator of 49\/3 and v.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 40\/(-35) + 1\/7. Let f be 72\/54 - ((-4)\/(-6))\/a. Solve f*u - 4*u - 8 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/((-6405)\/(-610)*(-1)\/70)?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttii. Give prob of sequence ti.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 126994235*c + 111778888 wrt c?\nAnswer: 126994235","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5532444555 and 13565.\nAnswer: 13565","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1595?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2227734?\nAnswer: 2, 3, 23, 5381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 245, 0, 4, -560 in decreasing order.\nAnswer: 245, 4, 0, -560","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 80522869 to the nearest integer?\nAnswer: 8973","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1\/5, -2, 3, -233857, -1\/6 in ascending order.\nAnswer: -233857, -4, -2, -1\/6, 1\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4888 = 6*d + 1792. Let w = -61 + d. What is the remainder when w is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 + 20 = -2*z - 17*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.2488 to two dps.\nAnswer: 1.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1064)\/(-1729))\/(6\/(-39)). Let x(q) = q**3 + 3*q**2 - 7*q - 4. Calculate x(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 0*a + 32. Suppose 0 = -8*f + 10*f - 8. What is the highest common divisor of a and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -11, 2\/3, 0, 313, 0.04?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 - 5*r**2 + 10*r + 20. Let v be d(-6). Put 0, -6, -5, v in increasing order.\nAnswer: -6, -5, v, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-19246 - 46*t + 55*t + 19296)*(0*t**2 + t**3 + 0*t**2) to k*t**4 + d*t**2 + n*t**3 + q*t + h and give n.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5caf (base 16) to base 13.\nAnswer: aa52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a**3 + 3*a**3 + 2*a**4)*(0 + 0 - 2*a)*(28 + 23 + 8) + 3*a**5 - 2*a**5 + 0*a**5 + (2*a**2 + 3*a**2 - 3*a**2)*(2 - 2 - a**3) - 2*a**5 - a**4 + a**4.\nAnswer: -239*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 a factor of 1400043?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 951 = -0*z. List the prime factors of z.\nAnswer: 3, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 not equal to -141?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -1, 7\/41, 2, -113\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/7)*o*o)**(-6\/7)\/(o**(-1\/5))**(-2\/35) assuming o is positive.\nAnswer: o**(-1814\/1225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(68) + -1*sqrt(68)*1 - -6*(sqrt(68) - (1 + sqrt(68) + sqrt(68) - sqrt(68)))))**2*1.\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4531005*m**4 - 314456 wrt m.\nAnswer: -18124020*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(1\/4)*d*d)**35)**(3\/17)\/((d**(6\/5)*d*d\/(d**(-5\/2)*d))\/((d\/(d**(3\/7)\/d*d))\/(d*d\/(d*d\/d**(-3\/5))*d))) assuming d is positive.\nAnswer: d**(22297\/2380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (17 - (-2 + (22 - 10)) - 6)) + -45.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12.66 - 10.8. Let p = -0.14 - o. Put p, -0.2, -1 in descending order.\nAnswer: -0.2, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 4. Let y(i) = -j*i**2 + 9 - 2*i - 2*i + 11*i. Let x(t) = -2*t**2 + 3*t + 4. What is 7*x(z) - 3*y(z)?\nAnswer: -2*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 PM and 1:55 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 3*q = 10, 2*a - 4 = -q + 3*q. Let j(t) = -3 + 1 - 3 + 4. Let y(i) = -3*i + 6. Calculate a*j(b) + y(b).\nAnswer: -3*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y + 10. Let k be n(-7). Calculate the remainder when 59 is divided by 58\/k + 10\/15.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 = -5*p - 2*q, 23*p + 3*q + 48 = 26*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of -4*n**2 + 2*n - 365. Let g(y) = 7*y - 2. Determine -6*g(u) - 5*z(u).\nAnswer: -2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14528025 is divided by 14528022.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21*a**4*h + 1153202*a**2 - 2*a + 20623709*h wrt a?\nAnswer: -252*a**2*h + 2306404","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 21837 divided by -1\nAnswer: -21837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 + 9*w - 4. Let y be v(11). Let g = -14 - y. Let c(t) = -83*t**3 + 1. Let m be c(-1). What is the highest common divisor of m and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 4\/97?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33350 and 575?\nAnswer: 33350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 95969297 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -4*y**3 + 53*y**2 - 228*y + 14. Determine b(9).\nAnswer: -661","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 82 and 6.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 3*d - 9, 2*h - 2 = 4*d - 4. Let z(y) = y - 5. Let l(c) be the third derivative of c**4\/24 - 2*c**3\/3 - 7*c**2. What is h*l(a) - 6*z(a)?\nAnswer: a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 629550?\nAnswer: 2, 3, 5, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7a - -884?\nAnswer: 805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 4 - 12*x - 4*x**3 + 11*x**2 + x**2 + 0*x**2 = 0. Calculate x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 33139185 + -5?\nAnswer: 33139180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26 - 39. Suppose 3*l = 5*q + 23, l + 4*q = -l + 8. Let u(x) = -2*x**2 + 15. Let s(i) = -12*i - 4*i**2 + 3*i**2 + 12*i + 7. Give l*u(b) + y*s(b).\nAnswer: b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (96\/18 + -5)*549. Suppose -3*s + t = -57. What is the remainder when s is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 PM and 1:05 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 9. Let g = -40 - -38. Let v be (-8)\/g - (-5796)\/(-1458). Is h at most v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -1705*s + 121. Let m be u(-18). Suppose 27*q = m - 2623. List the prime factors of q.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-6 + 6 - 4)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 273044931?\nAnswer: 3, 31, 347, 8461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 58, 70, 82, 94, 106?\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, t: 2, e: 2}. What is prob of sequence teyt?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4795334?\nAnswer: 2, 19, 53, 2381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8\/6 - ((-1300)\/15 + -1).\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 6, f: 6, z: 7}. What is prob of sequence ww?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.36487 take away 182?\nAnswer: -182.36487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19 - 20 + 5*h - 9*h to y + w*h and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26 is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 - 53393643071424.\nAnswer: -53393643071423.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -6\/11, 756, 2.6, -1 in descending order.\nAnswer: 756, 2.6, -1\/3, -6\/11, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -3*t - 4. What is q(-10)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 18*a + 30 = 21*a, 0 = a - 2*a + 5 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {d: 1, v: 2, h: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*w - 4*w - 44 + 5 - 3.\nAnswer: 7*w - 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of 19\/3*u**4 + 0 - 2\/5*u**6 + 7\/5*u**5 + 10\/3*u**3 - 8*u**2 - 112*u. Suppose o(t) = 0. Calculate t.\nAnswer: -1, 1\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 1 = 9. Solve 6*a - i*a = -12 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -229313 divided by 17.\nAnswer: -13489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 52698480?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = 20*d + 165, -343*f + 172*f + 174*f + 59 = -4*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 6 = -0*v + 3*v, 0 = -5*v + 5*g + 40 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 + 3*n - 2. Let c be z(-4). Solve -u - c*x - 19 = 4*u, -5*x = 5*u + 25 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 0.0794\nAnswer: 3.9206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5493 to the power of 1\/2, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -856*b + 86338. Give x(101).\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -39, 62, 339, 882, 1781?\n\"Answer: 15*h**3 - 2*h**2 + 2*h - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10070 and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 423061, 846122, 1269183, 1692244, 2115305, 2538366?\nAnswer: 2961427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l, 1 t, and 1 a when four letters picked without replacement from {s: 8, l: 2, a: 3, j: 1, t: 5}?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -128a0 (base 11) to base 6\nAnswer: -221033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 124572?\nAnswer: 1\/41524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2695 to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -895672 divided by -2\nAnswer: 447836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -700869, -1401425, -2101333, -2800269, -3497909, -4193929?\n\"Answer: 54*c**3 - 700934*c + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27867470?\nAnswer: 2, 5, 59, 149, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.94 + -0.06. Let i = -108.08 + 112. Let f = a + i. What is f rounded to 1 decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 10 = 8*b. Let c(r) = 3*r + 4. Suppose 5 = -x, 0 = a + x - 11 - 11. Suppose 0 = 6*p - 3*p + a. Let m(d) = 13*d + 17. Calculate b*m(k) + p*c(k).\nAnswer: -k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 187, 791, 1797, 3205, 5015, 7227, 9841?\n\"Answer: 201*v**2 + v - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -454 - 3\nAnswer: -457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2476.23 less than 27?\nAnswer: 2503.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -73154 (base 13) in base 6?\nAnswer: -4233112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6923.08, -0.02, 3 in descending order.\nAnswer: 6923.08, 3, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 - 232 = -2*p + 215. Calculate the greatest common factor of 270 and p.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.5 and -1811?\nAnswer: 1811.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of 52*i + 0 + 0*i**3 + 0*i**2 + 17\/20*i**5 - 13\/6*i**4. Find the third derivative of s(n) wrt n.\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 511677982 less than 0.0221?\nAnswer: -511677981.9779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + v = -0 - 4, v + 12 = 4*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 806?\nAnswer: 7254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*c**2 + 22*c**2 - 6*c**2 - 3*c**2.\nAnswer: 23*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -d**3\/5 - 8269*d**2 - 427372928*d\/5 - 427331584\/5 = 0.\nAnswer: -20672, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 0*z**2 - 18*z + 18*z - 2*z**2. Let s(d) = 36*d. Calculate l(s(i)).\nAnswer: -2592*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + (16 + -6 - -1) + -10.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + k + 10, -7*k + 20 = -12*k. Let n be (l + 69\/6)*10\/15. Solve 0 = -3*s + 2*u + n, -3*s + 11 = -3*u - 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -2.11886, -0.4, -5\/6, 1 in decreasing order.\nAnswer: 1, -2\/9, -0.4, -5\/6, -2.11886","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 678*t**2 - 675*t**2 + t**3 + 7*t - 1 + 4 as b*t**2 + d + x*t + m*t**3 and give x.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w + 28. What is q(-25)?\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*q + 51235 = 51795 for q.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -43, -4, 1, 19.\nAnswer: -43, -4, 1, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + -3. Let q be (2 - 1)*z\/12. Let n = 0.0503 + 0.0097. Sort n, q, -1 in increasing order.\nAnswer: -1, n, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -4\/3, -2, 0.2, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-4)\/n*n*n\/n**(-7\/3) assuming n is positive.\nAnswer: n**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 558212563 to the power of 1\/2, to the nearest integer?\nAnswer: 23627","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-2)*0\/(-9 - -17). Solve o + 44 - 40 = g for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 669 and 368742.\nAnswer: 82229466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10 - -42?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26 + 26 - 37*c + 0*c.\nAnswer: -37*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -478*x**3 - 4*x**2 - 17*x - 16. Let l be t(-1). What is the greatest common divisor of 75 and l?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -64\/3261 and -71\/27?\nAnswer: 29349","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 74448934 to the nearest integer?\nAnswer: 8628","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of c**7\/336 + c**6\/144 - 5*c**5\/12 - 9*c**3 - 3*c - 158. Let a(p) be the third derivative of f(p). Find d, given that a(d) = 0.\nAnswer: -5, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3172?\nAnswer: 2, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 52274 (b) 112 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32, 168, 396, 716?\nAnswer: 1128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2608.76 and 115.\nAnswer: 300007.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, -1, -4 in increasing order.\nAnswer: -4, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -0.5 (b) 4 (c) 885\/1336 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-326*f - 591*f - 806*f)*(20*f - 7*f - 3*f).\nAnswer: -17230*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24.5 + -25. Let i be (-15)\/(-10)*(-4)\/(-30). Let n be 2\/4*-4*9\/6. What is the nearest to i in m, -1, n?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 1. Let i(f) = -2*f + 12. Let b(p) = i(p) - 12*t(p). Let x(w) = 6*w. Calculate b(x(g)).\nAnswer: -12*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + 75\/20)*2*-2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -19194, 1, 0, 10.\nAnswer: -19194, -3, 0, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hvh when three letters picked without replacement from avahjjaaahaaaa?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11 and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 749 at least as big as 751?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (3\/((-3)\/4))\/(590\/2360)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -1\/4, 0.107, 0, -1\/3 in descending order.\nAnswer: 0.4, 0.107, 0, -1\/4, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2258\/7 - -322. Let c = 1223 - 1222. Sort -5, h, c, 2.\nAnswer: -5, h, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2492607*j**3 + 440*j**2 + 892*j + 54 wrt j.\nAnswer: 14955642","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -92*q**2 - 5894*q - 416. Give u(-64).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -9 + 25 + (9 + -12 - -9)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/1423?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6061 + -3545. What are the prime factors of j?\nAnswer: 2, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 277 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 221 (base 4) to base 3\nAnswer: 1112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.8 - -0.6. Let j = 3.4000094 - c. What is j rounded to six dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 3*((1*sqrt(432))**2*6 - ((sqrt(432) + -2 + sqrt(432) + (sqrt(432) + 1 - sqrt(432)) + sqrt(432))**2 + sqrt(432))) + 2*(sqrt(432) + -1) + 5 + -5.\nAnswer: -3894 + 204*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2c543 (base 14) to base 12\nAnswer: 54153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 6, 5, -0.3 in descending order.\nAnswer: 6, 5, 0, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of 0 + 0*z**2 - 2*z - 1\/3*z**3. Let m(y) = -4 + 4 + 255*y**2 - 258*y**2. Determine l(m(d)).\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -7*j**2 - 6*j - j**2 - 17*j + 11*j + 8 = 0.\nAnswer: -2, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -0*x + 770. Suppose -t = 3*z - 43, -4*t - 2*z = z - x. Calculate the remainder when t is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 7, w: 6, h: 1, q: 5}. Give prob of picking 2 w and 1 v.\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -6513 + -8215.341?\nAnswer: -14728.341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -3*n - 2. Let j be h(-3). Suppose j*y = 2*y + 10. Solve v - y*o = 0, v + v = -o for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 2 = 0, -i - 63 = -z + 5*z. Is 10*z\/(-20) + 245 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1759741*d**4 - 55*d**3 - 7284292*d**2 - 16*d?\nAnswer: -42233784*d - 330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*z**3 + 469298140*z**2 - 1407894285*z + 1055920680.\nAnswer: -5*(z - 23464904)*(2*z - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -6 + (-249)\/(-15) + 4\/10. Find the third derivative of j*l**2 + 30*l**3 - 53*l**3 + 16*l**2 - 9*l**2 wrt l.\nAnswer: -138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -2 + 2 + -10 + 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 - (3 + 5 + 3). Does 7 divide 28\/(-5)*20\/h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 13852322.19ms?\nAnswer: 0.022903971875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44960?\nAnswer: 2, 5, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -403000, -403005, -403010, -403015, -403020, -403025?\n\"Answer: -5*j - 402995","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -822 take away 955785?\nAnswer: -956607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -8. Solve -j*u - 3*t - 21 = 0, -5*u + 1 = t + 24 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*f - 21 = -48*f for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**3 + 2*n**3 + n**3)*(-6*n + 11*n + 12*n + (-1 - 3 + 2)*(2*n - 3 + 3) + (-3 + 2 - 3)*(5*n + n - n))*(-4*n + 3*n + 2*n).\nAnswer: -35*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6 or -1575670?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1539) + 4 + sqrt(1539))**2*-2 - (sqrt(76)*-2 - sqrt(19) - 1*(0 + sqrt(19)))**2) + -3.\nAnswer: -13031 - 288*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*p - 29*p + 966 = 0. Let c be 6\/(-36) + (-103)\/(-6). Let q be c\/5 - 2\/5. What is the highest common divisor of q and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 3 + x**2 + 0*x - 3*x - 2*x**2. Suppose 0 = 5*z - 2*z + 12. Let d be u(z). Sort 3, d, 1.\nAnswer: d, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 0.3980051 (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.5004 + 1.4996. What is the third smallest value in b, -3\/4, -621?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 645922 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17603\/5148 + 190\/117. Let d = 335\/2 + -1399\/8. What is the common denominator of z and d?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/12 - 6\/(-3)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -67, 4, 3, 145 in increasing order.\nAnswer: -67, 3, 4, 145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-6*sqrt(152)*2)\/((sqrt(72) + ((sqrt(72)*1 - sqrt(72)) + sqrt(72) - sqrt(72)) + sqrt(72) + sqrt(72))\/sqrt(9) - 2*sqrt(288)).\nAnswer: 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a milligram in nanograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**2 + 0*m**2 - 2*m**2)*(-4 + 1 + 8).\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -292, -289, -284, -277, -268?\nAnswer: -257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -847*a - 7*a - 23912 for a.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*i + 0*i + i)*(-5 + 2 + 2)*((5*i + 0*i - i)*(1 - 2 - 2) + 2 - 2*i - 2) as j + f*i + q*i**2 and give q.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9193229 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2152150271 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 45 - 37. Let q = h + -7.8. Which is the closest to -0.7? (a) q (b) 5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 6}. What is prob of picking 4 m?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 36*d - 77*d - 123 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97.56432 millilitres to litres.\nAnswer: 0.09756432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/(-231))\/(34\/(-238)). What is the third biggest value in 540, -1, h, 0.4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((105\/(-105))\/((-7)\/8))\/((-2)\/(-28))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + z + 8 + 7 = 0, 0 = 5*b - 4*z - 42. Let k be -3 - (4 - 2 - b). Suppose 16*l - 269 = -237. Solve c = l*v - k - 0, -5*v = 4*c - 9 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.05 and -1379.\nAnswer: 68.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-70)\/(-8))\/((-2)\/(-8)). Suppose 672 = 74*j - 271*j + 1657. Calculate the highest common factor of j and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, -170 in descending order.\nAnswer: 3, 2, -170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n. Let q(r) be the second derivative of 5*r**5\/6 + 29*r**3\/6 + r**2\/2 - 276*r. Let f(x) be the second derivative of q(x). Determine b(f(o)).\nAnswer: 200*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 8*x - 59. Let l be a(9). Suppose 4*w + 17*i - l*i = 152, -2*w + 4*i + 82 = 0. Is w a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6422057 is divided by 6422037.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/6)\/(((-63)\/(-192))\/(-7))*(-93)\/124?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 17*r**2 - 20*r + 6. Let d(b) = -6*b**3 - b**2 + 5*b - 3. Let q be d(1). Let m be o(q). What is the greatest common divisor of 9 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d - 5*m - 15 = -8*d, 2*m + 6 = 0. Let u(g) = g**2 + g + 34. Give u(d).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*h = 4*h + 13*h + 116 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -5 - 12*g - 6*g + 9*g. Let n(l) = 5*l + 3. Let y(m) = 5*n(m) + 3*v(m). Let o(s) = -7*s. Calculate y(o(a)).\nAnswer: 14*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 + 4*q + 6. Let z be o(-5). Let f = z + 31. List the prime factors of f.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -109 - -181. Let h(x) = -91*x - 9. Let j be h(-3). Suppose -u = 2*f - j. Calculate the highest common divisor of 12 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of 1\/3*u**2 - 14 + 1\/18*u**4 + 2\/9*u**3 + 2\/9*u. Let y(k) = 0. Calculate k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 5 = -4*x - 0, 3*x = 4*b + 3. Suppose 0 = -s - b*s + 12. Suppose 3*i + 19 = i + 3*c, s = i + c. What is the third biggest value in i, 5\/3, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 7*f = 3*f + 503, -3*b + 4*f = -1525. What are the prime factors of b?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (17 + -15 + 3 - (1 + 8)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7304 and 10.\nAnswer: 36520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12.746346 - -14774607.746346. Let j = s + -14774418.00218. Let d = -177 + j. Round d to 4 decimal places.\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 21\/10 (b) -2\/13 (c) 471 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*((-13)\/(-30) - (-13)\/(-39)). Which is the third smallest value? (a) k (b) 2\/3 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 0.5, -0.118, -0.35, 5?\nAnswer: -0.35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-1*sqrt(605) + (-1*sqrt(60) - sqrt(60))\/sqrt(12))**2 - (2*(3 + sqrt(80)))**2)*-5.\nAnswer: -1920*sqrt(5) + 9780","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -604 - 4?\nAnswer: -611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = -5*u, -15*d - 10 - 1 = -2*u + 28 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 15 = 0, h = 5*t + 16 + 3 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 161 = f - 0*f, k - 57 = 3*f. Suppose 2*u - k = -u. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of -u**2\/2 + 15*u - 18. Let b be l(-5). Let d(v) = -b*v**2 + 10*v**2 + 2*v**2. Let x(n) = 2*n. Determine d(x(a)).\nAnswer: -32*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence byd when three letters picked without replacement from bbbbydbyybyyybbyyyb.\nAnswer: 9\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 0*o - 18 = 4*o, 3*y - 2*o = 10. Suppose 0 = -y*h - h. Factor -1\/4*u**5 - 1\/4*u**4 + h*u + 1\/4*u**3 + 1\/4*u**2 + 0.\nAnswer: -u**2*(u - 1)*(u + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -169, -357, -567, -805, -1077, -1389, -1747?\n\"Answer: -n**3 - 5*n**2 - 166*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1139670 by -12663.\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*y - 20 = -3*a - 26*y, a + 3*y = 20 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 99 = -v, 27*c = 22*c + 25. What is the third smallest value in 3, v, -2\/29?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 23460902.1 and -0.4.\nAnswer: -9384360.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3010708426 and -5.\nAnswer: -15053542130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j\/(j**(-2\/15)\/j))\/j)\/j)\/(j\/j**(-3)))**(-4\/7) assuming j is positive.\nAnswer: j**(232\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1175.88025457 - 3.\nAnswer: -1178.88025457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 6*v = 16. Suppose v*p = 6*p - 188. Is p a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14772 a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193 is divided by ((-94)\/(-6))\/((-6)\/(-18)) - -2.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1184 + 3532 - 1182 + v + v - 12*v**3 - 1175 + 7*v**2 in the form a*v + r*v**2 + x + s*v**3 and give s.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 AM and 4:05 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33*c**3 + 4*c - 3 + 28*c**3 - 60*c**3 to x + b*c + s*c**2 + d*c**3 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -393 - -604. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + (1 - 0) + 18 + -15. Let v(m) = -23*m - 8. Let h(n) be the first derivative of -4*n**2 - 3*n - 1. Give r*v(y) - 8*h(y).\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 + (48 - 31) + (3 - 14)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.228562816668951 and 5.\nAnswer: 5.228562816668951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s + 28. Let h be j(16). Suppose 2*k = -0*r + 2*r - 8, 3*k = -4*r - h. Suppose 2*y + 2*y - 132 = r. Does 5 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -33*w + 1591. Give k(48).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h**3 - 24*h**2 - 15*h + 13. Give t(13).\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p. Let n(u) = -236*u**2. What is n(a(y))?\nAnswer: -236*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of -143*m**5 - 1469*m**2\/2 - 463*m - 1. What is the first derivative of q(k) wrt k?\nAnswer: -8580*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d4 + 9d?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*t**5 + 709*t**4 - 24077*t**3 + 221267*t**2 + 186081*t - 59976 = 0. What is t?\nAnswer: -1, 1\/4, 21, 136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 14 = -3*t, -2*h + 3*t + 2 = -7*h. Let o(n) = -2*n + h - n + 4*n. Give o(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/51 (b) 1 (c) -49.04 (d) 39\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 324746 is divided by 2191.\nAnswer: 478","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aw when two letters picked without replacement from {w: 4, q: 1, x: 2, a: 1, y: 2}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42 and 1806.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 15*p**2 + 7*p + 27. Let o(y) = 7*y**2 + 4*y + 13. Let w(j) = -6*h(j) + 13*o(j). List the prime factors of w(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -6459*a**2. Let y(s) = 2*s. Determine j(y(w)).\nAnswer: -25836*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 89 = -414. Suppose 1560 = -2107*c + 2227*c. What is the greatest common divisor of t and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3016 and 145.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 5. Let n = t - -3. Suppose -x + 396 + 15 = n. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3442*i**2 - 4666*i - 53647168.\nAnswer: -6884*i - 4666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16232200 and 4432?\nAnswer: 32464400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 11*x + 113. Let a be d(11). Let b = 725 - a. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -102.677 times 1\nAnswer: -102.677","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*f**4 - f**2 + f**2)*(4 - 2 - 4) - 16658*f**4 + 9799*f**4 - 3955*f**4 in the form y*f + m*f**4 + u*f**3 + c*f**2 + h and give m.\nAnswer: -10810","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109 = 15*s + 1057*s + 2253 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20404135 (base 8) to base 3.\nAnswer: -22010212020102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) -0.051 (c) -0.17 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*i - 95*i**3 + 52*i**3 + 3*i - 2*i + 16*i**3 + 29*i**3.\nAnswer: 2*i**3 - 7*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**2 - 5*c**2 + 2*c**2)*(-2*c + 0 + 0) - 2*c**3 - 2*c**2 + 2*c**2 + 4*c**3 + 4*c**2 - c**2 + 0*c**3.\nAnswer: 6*c**3 + 3*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 3. Let h = 26633 - 26636. Put h, 18, t, 0 in decreasing order.\nAnswer: 18, t, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -20*o**2. Let m(n) = n**2 - n - 1. Let z = -95 + 94. Let k(y) = -3*y**2 + 2*y + 2. Let w(c) = z*k(c) - 2*m(c). Determine d(w(a)).\nAnswer: -20*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/2, 3, -4730, -1, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q**3 - 6*q**2 + 10*q + 18. What is d(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 176904 and -253.96919.\nAnswer: 176650.03081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -800*h + 4651 - 4651 to the form o + a*h and give a.\nAnswer: -800","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(0 + (sqrt(140) - (sqrt(140) - (sqrt(140) - sqrt(140)*2)))\/sqrt(7)).\nAnswer: -8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3\/9 - 1206098*h**2\/9 - 2412172*h\/3.\nAnswer: -2*h*(h + 6)*(h + 603043)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 36 = -2*n. Let z = 4\/299 + -6590\/897. Find the common denominator of n and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 141\/122 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -6 + 3 + 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 68818?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1638 divided by 9.\nAnswer: -182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (48\/(-21) - -2)\/((-765)\/(-4284))*1\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 7*q**3 + 1. Let l be p(-1). Suppose 3*h - 24 = 6*h. Let z = l - h. Solve -z*m - m = -6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -71 + 96. What is the lowest common multiple of 30 and b?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1469 and 1468 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 184 a factor of 23638296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1038*g**2*i + 2*g**2 + 2*g with respect to i.\nAnswer: 1038*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3809361 is divided by 761872?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 122*q**2 + 211*q - 1477. Does 13 divide k(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvtt when four letters picked without replacement from {t: 13, v: 6}?\nAnswer: 65\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 177662 and 28?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1039 or -1037?\nAnswer: -1039","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/(-16) - 18\/(-4). Suppose u*i = -3*j + 1706, i + 674 = 3*i + 4*j. Let n = -189 + i. What are the prime factors of n?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*409255.\nAnswer: 818510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 313 = t + 5*l, 5*l + 6 - 1 = 0. Suppose -2*q = 4*q - t. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -143 divided by -9\nAnswer: 143\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -61 - 56 - b**2 + 117. Let h(l) = 12*l. Determine h(s(q)).\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 260\/700 - (-12)\/(-21)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4869 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*k + 5*k - 86 = 4*p, 5*k - 34 = 2*p for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1652*q - 237567 + 237567 + (-1 - 5 + 4)*(-2*q + 0*q + 0*q) + 2*q + q - q - 2*q - 2*q + 5*q)*(2*q**2 + q**3 - 2*q**2).\nAnswer: -1645*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15917845*k**3*w**3*y - 3*k**3*w**2 + k*v*w**2*y + 4*v*w**3*y**2 + 18*v*w**2*y**2 - 6528*v*w*y**2 + v*y**2 + 1 wrt w?\nAnswer: -95507070*k**3*y + 24*v*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -48422948, -96845907, -145268866, -193691825?\n\"Answer: -48422959*p + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -5*j**2 + 74*j + 17. Let c be u(15). Suppose c*k + 1275 - 3413 = 0. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 29 = -4*s, 39 = -0*x + 3*x + 4*s. Suppose 4*k - 12 = q - 20, 2*q + 5*k - 3 = 0. Solve q*h + x = -3 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1417814 to the power of 1\/3, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21942\/(-636))\/((-253)\/(-276) - (-10)\/(-6))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*q + w + 2, 0 = 5*q - 307*w + 305*w - 9 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 83, 2, 0, 5, 41415 in increasing order.\nAnswer: 0, 2, 5, 83, 41415","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 43. Let j(g) = g**3 + 6*g**2 - 7*g + 6. Let h be j(-7). Let t = -3 + h. Calculate the highest common factor of x and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 - w**2 - w - 2. Let i be x(0). Let n(y) = -y + 2. Let b be n(i). Solve -2*l = -2*k - 0*k + 8, b*k - 16 = -l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 4, 0, -2\/15, 548?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 197.7\nAnswer: 593.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**2\/2 + 21*g = 0. Calculate g.\nAnswer: 0, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8521 - 4408. Let h = c + -1906. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 899377 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -168 - -170. Let w(q) = 19*q + g*q - 15*q. Let h(x) = 13*x. What is h(w(t))?\nAnswer: 78*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - 2)\/((-6)\/(-4)). Which is smaller: 0.02 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27c1 (base 16) to base 6\nAnswer: 115041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (-1 - 13 - -1)) + -5 + 53 + -100.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - -138929?\nAnswer: 138932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-18)*8*(-51)\/2278.\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21195.\nAnswer: 3, 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3436198?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -1108\/5 - 4\/5*h**2 - 1112\/5*h = 0.\nAnswer: -277, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.13 - 1.03. Let t = d + 0.8. What is the third smallest value in 1, 5, t?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3820457777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3863 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-266)\/(-10)*(-2310)\/(-3234)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -159, -602, 14, 5, -3, -4 in descending order.\nAnswer: 14, 5, 1, -3, -4, -159, -602","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(1\/4))**9)**(2\/171))**44 assuming d is positive.\nAnswer: d**(22\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 32\/21 and 1\/5*38*(-10)\/(-24).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1161 + 1470 - 3128)*(-2*h + 2*h + 3*h) to the form w*h + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2))**21*r**(-2)\/(r*r**(-1\/11))*(r**(-1\/6)\/(((r*r\/(r*r\/r**(-1\/9)*r)*r)\/r)\/r))\/(((r*r**(-5))\/r)\/r**1) assuming r is positive.\nAnswer: r**(-7319\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2020906?\nAnswer: 2, 47, 21499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/8 + 81*v - 93049\/8.\nAnswer: (v - 121)*(v + 769)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -71 + 75. Let i be 218\/7*14\/w. Let m = i + 3. Is m a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -61002412 - -2?\nAnswer: -61002410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -16 + (9 - 7 - -18) + -33\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (7 + -5 - 7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -436572.6 or 2\/21?\nAnswer: -436572.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 7 + -9 - -9) + (41 - 3)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -394322\/25 - -15771. Find the common denominator of 69\/595 and z.\nAnswer: 2975","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -67, 0, -18, -1, 5.\nAnswer: -67, -18, -2, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 16*s. Let r(i) = 47*i. Suppose 5*x - 2*x = -3*u - 30, 3*u + 2*x + 31 = 0. Let v(l) = u*b(l) + 4*r(l). Suppose -172*m - 183 = -355*m. Give v(m).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of -1\/150*l**6 + 0 + 1\/50*l**5 - 2\/5*l**2 + 1\/20*l**4 - 2\/15*l**3 + 42*l. What is z in s(z) = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -10099*o - 40362. Determine m(-4).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 107.8 - 102.8. Let v = 21.3 + -21. What is the nearest to 5 in -3, g, v, -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from {j: 3, y: 5}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1183 (b) -1\/8 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-5) - 73\/(-5). What is the greatest common divisor of 3 and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4077 is divided by 1340.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.68103 - -0.5?\nAnswer: -2.18103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 303 - 305. Let n(x) = 2*x**2 - x. Give n(f).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 + 18*b**2 - 20*b + 53. Let l be j(17). Solve 0 = l*p + 3*p - 10 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(3\/5)*a\/(a\/a**(-5)))**(-1\/54))**(-1\/4) assuming a is positive.\nAnswer: a**(-11\/540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-11) + (-9)\/(-11). Suppose -j = u, 3*a - 226 = -u + 2*u. Does 25 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j = -4*j + 8*j. Suppose j = 15*s - 1165 - 2870. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2350 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2802377320?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 120 and 16455.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 6732556910?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7936*h = 4728 + 87251 + 43702 + 142079 for h.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5836466329 rounded to 1 decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 PM and 3:34 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 53, 82?\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50) - sqrt(450)) + 5.\nAnswer: -10*sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -0.06 (c) -0.2 (d) 4\/3 (e) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 13*f**3 + 3*f**2 + 5*f - 43. Let n(q) = 2*q**3 - 3*q**2 - 6*q + 1. Determine h(k) + n(k).\nAnswer: 15*k**3 - k - 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 - 146*r**2 + 159*r - 2330. Give d(145).\nAnswer: -300","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/4 - 1579319*g\/4 + 1184487.\nAnswer: (g - 1579316)*(g - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.5 from -1464.057.\nAnswer: -1463.557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26 - 0 - -3) + (-1344 - -1372)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 7111, 7106, 7099, 7090, 7079?\n\"Answer: -v**2 - 2*v + 7114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r**3 + 4 + 0 - 2*r**3 - 4.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.283? (a) 1 (b) 3 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, o: 2, w: 10, x: 2, e: 2}. Give prob of sequence owo.\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 393488?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 217, -2\/13, 7 in decreasing order.\nAnswer: 217, 7, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u + 2*u - u + 0*u. Suppose -b = -4*b + 60. Let x(h) = -4*h. Let m(w) = -28*w. Let n(y) = b*x(y) - 3*m(y). What is o(n(i))?\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/2379465 and 94\/27945.\nAnswer: 64245555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 232744?\nAnswer: 2, 47, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 277 + 2723 = 120*g. What is the highest common factor of g and 2025?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5175044 and 14?\nAnswer: 5175044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1920 and 26493?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 0*f = f + 37, -6 = d - 3*f. Let s = d - -44\/5. Which is smaller: s or 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 3*y, j = -2*y + 17 - 6 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -22674 divided by 3779\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*i = 5*s - 120 + 419, -2*i = 2*s + 30 for i.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 + a**2 + a - 2. Give j(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1840100 = -5*j - 5*i, 2*i + 722934 + 13110 = 2*j. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 5*r - 9*r**2 + 3 + 5*r**2 + 7*r**2. Let p(k) = k**2 + 2*k + 1. Give -11*p(t) + 4*v(t).\nAnswer: t**2 - 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 40 + -34. Suppose -m = -4*p - 2*p. Suppose -3*d = 13 - p. Put d, -1, 0 in descending order.\nAnswer: 0, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 + -4 + -2)\/(-2 - -1). Find the second derivative of 2*r + 12*r**5 + 9*r - v*r + 9*r wrt r.\nAnswer: 240*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**4\/3 - 92*c**3\/3 + 136*c**2.\nAnswer: 4*c**2*(c - 17)*(c - 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72 and 16?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**4 + u**4 - u**4)*(3 - 3 + u)*(-3 - 3 + 2).\nAnswer: 4*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 3*s**2 - 1. Let n be b(-1). Suppose -10 = 2*u + 3*u. Sort -5, u, n in increasing order.\nAnswer: -5, u, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -r**2 - 1006*r - 253009 = 0.\nAnswer: -503","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add -833 and 14716.\nAnswer: 13883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3883829?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 - 4*r + 1. Let v be i(-3). Let s(g) = -8*g + 1. Let f be s(-3). Let u = f - 21. Solve u*n + v = -0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 139 divide 741704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - 0.5. Let t = 308\/27 - 1486\/135. What is the biggest value in -4, t, m, -5\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 + -2)*2\/4. Let n(k) = k**2 - 10*k - 20. Let o be n(12). Let s = d + o. Solve -2*c + 6 = s for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*0.003096\nAnswer: -0.0009288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -237*f - 2802765 + 2731458 = -5368968. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/((2\/5)\/(31\/(1085\/14))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nsss. What is prob of picking 1 n and 2 s?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 AM and 10:08 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 12 = -2*h. Suppose 2*s = 3*f - 12, 4*f + 5*s = -2 - 5. Let y be ((-6)\/4)\/(f\/h). Calculate the greatest common divisor of 81 and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 PM and 7:50 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 0 - 5 - w.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11766?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + z + 64 = 0, -9*z + 12*z = f + 18. Let b be f\/(-9)*1965*20. Round b to the nearest 10000.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 901 (b) -5 (c) -0.5 (d) 6\/13 (e) -0.41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 68\/7 - 0 - 84\/(-294). Suppose d = 4*b - 6*b, -13 = 3*u + 5*b. Solve -3*t = g - 5, -g + 0 = u for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21211200 (base 3) in base 10?\nAnswer: 5715","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(228) + sqrt(228)*1) + sqrt(228)*-1*2)\/(sqrt(1200) + sqrt(1200) + sqrt(1200) + sqrt(1200)*1*4 + sqrt(1200)).\nAnswer: -sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2756260874 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -20*t - 9. Let q be g(-5). Let z = q + 47. Suppose 3*a + 5*y = 278, 2*a - 2*y = z + 74. What is the remainder when a is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -171 + 237. Calculate the remainder when n is divided by 20.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2641128 a multiple of 647?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -9*g**2 - 34*g - 13. Let c be z(-3). Solve 0 = 5*t + 4*h - 15, -c*t - 15 = -13*t - 2*h for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of -t**7\/315 - t**6\/90 + t**5\/90 + t**4\/18 - 1124*t**2. Factor h(s).\nAnswer: -2*s*(s - 1)*(s + 1)*(s + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1177*p**2 + 7*p**3 - 36*p**3 + 1172*p**2 in the form q + f*p**3 + v*p + g*p**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/22 and 77\/21278.\nAnswer: 234058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z**3 + 3*z**3 + z**4 + (0*z**2 + 6*z**2 - 2*z**2)*(0*z**2 - 3*z**2 + 6*z**2))*(z + 3*z - 3*z).\nAnswer: 13*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 1821835?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27, 34, 17, -24, -89?\nAnswer: -178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 1)*(6 - 3 + 0)*(4*v**3 - 3*v**3 - 4*v**3).\nAnswer: 18*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 24*j**2 - 6*j + 112. Let p be s(9). Let y = -978 + p. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 9538?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 16675512 to the power of 1\/4, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.3, -15, 4, -61\/37, 1?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16650?\nAnswer: 2, 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -112 + -138d?\nAnswer: -14a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*n = 20 + 20 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from kvvvvqqkkk.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 18481952 * 3\nAnswer: 55445856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 - 11. Which is the nearest to -1? (a) -1 (b) i (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = v, 4*v - 3*v - 8 = 5*d. Suppose 5*y + 3 = 68. Solve y + 2 = -v*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (700\/(-2450))\/(2\/(-28))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 + 4*x**2 - 14*x + 14. Suppose -23*p = -7*p - 64. What is the tens digit of l(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2059396*y**3 + 5312*y**2 - 2656*y. Let t(a) = -2327*a**3 + 6*a**2 - 3*a. What is 3*l(m) - 2656*t(m)?\nAnswer: 2324*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 12\/25 of a microgram?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 7. Suppose d = 5*b - b - 48. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 7 = 5. Suppose -v = -k*v + 10. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.28 - 3.28. Let j = 7.09 + -7. Let o = 0.01 + j. Which is the second smallest value? (a) -3\/2 (b) 1 (c) o (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 + 2*s**2 - 51 - 12*s + 3*s. Let a be y(13). Solve 2*v + a - 7 = k, 2*k - 5*v + 15 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 572\/((-845)\/65) + 100.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, 3\/2, 0.1, -4\/166791, -2\/19?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/3)\/(5\/18)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1305667958?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2286 and 381.\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8\/24)\/(2\/(-6)). Suppose -p = 5*l - 2*p - 158, -5*p = 3*l - 78. What are the prime factors of (l\/(-3))\/(h\/3)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 262641449 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of u**9\/3024 + u**8\/420 - u**7\/840 - u**6\/90 - u**3\/3 - 77*u - 151. Let i(l) be the third derivative of x(l). Solve i(b) = 0.\nAnswer: -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4212\/24)\/(-39)*(-3)\/(-36)*2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 + 10*o**2 - o + 12. Let g be p(10). Suppose -4*m + 5*z - 8 = -m, -g*z + 20 = 3*m. Calculate the lowest common multiple of m and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16396 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.9 - 4.4. Let f = v + -0.5. Let m = -0.16 - -0.2. What is the smallest value in m, -3\/7, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3851, -33, 3.\nAnswer: -3851, -33, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 1367.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -c - n - 6, -3*n - 12 = c - 0*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 307 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -41639.00022277 - -41639. What is g rounded to 6 dps?\nAnswer: -0.000223","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23812361 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 301490 and 630?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 92 + -92.00000375. What is u rounded to 7 decimal places?\nAnswer: -0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -w**4 + 1609*w**3 - w**2 + 10007*w wrt w?\nAnswer: -24*w + 9654","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/4? (a) 1 (b) -0.1 (c) 4 (d) 0.17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 53367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 5*d**4 - 145*d**3 - 1455*d**2 - 1175*d + 9250 = 0.\nAnswer: -5, 2, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -817 (base 14) to base 16\nAnswer: -635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -3*d**2 + 56*d + 1. Let p be a(23). Let j = p + 301. Factor -4\/9*c + 0 + 2*c**j - 14\/9*c**2.\nAnswer: 2*c*(c - 1)*(9*c + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 247*n - 297. Let s(q) = -123*q + 149. Let p(c) = -3*l(c) - 5*s(c). Differentiate p(m) with respect to m.\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 292 is divided by 224.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i = -9*i. Let n be ((-6)\/(-3))\/((-2)\/(-4)). Suppose -l + n*l = i. Solve 3*m = 2*k + 9, l*k = 2*k - 6 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 11) in base 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 31591 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - -1. Let r be (-7)\/(-4) - (-1)\/t. Find the third derivative of -4*v**6 + 7*v**6 + 3*v**2 + v**r wrt v.\nAnswer: 360*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.12, 6, 16.15 in descending order.\nAnswer: 16.15, 6, 0.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 39 and 105?\nAnswer: 1365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 225373 minus -1.1?\nAnswer: 225374.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/m**5*(m**(-5\/3)\/m)\/m*(m\/m**3)\/m**(1\/4) assuming m is positive.\nAnswer: m**(-119\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 100 = -40. Suppose -5*t + w = -a, -4*w - 99 = -5*t - 29. What are the prime factors of t?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.051 - 1.949. What is the fourth smallest value in t, 0, -0.1, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*q - 28*q - 10*q + (-q - 3*q + 3*q)*(3 - 3 - 1) + q - 5*q + 3*q.\nAnswer: -31*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -154 (base 7) in base 6?\nAnswer: -224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of j**2 + 1378. Let x(z) = z**2 + 1243. Calculate t(x(o)).\nAnswer: 2*o**2 + 2486","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 0*h + 0*h)*(91*h - 32*h + 74*h)*(4*h + 3*h - 2*h).\nAnswer: -1330*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 437 + 328. Suppose 5*l - k = -5*n, 183 + 129 = 2*n + 5*l. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (27018\/2052)\/((-3)\/(-36)). Suppose 2*k = 3*k - 159. Is k greater than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 - -40. Suppose -5*a = -v - 427. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*d + 3*d + d)*(15 - 340 + 1)*(-7*d + 5*d - d) + 2*d + 2*d**2 - 2*d as m + x*d + b*d**2 and give b.\nAnswer: 1946","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3590616 by 24.\nAnswer: -149609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 926717091?\nAnswer: 3, 308905697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (((sqrt(1872) + (sqrt(1872) + 2 - sqrt(1872)))*6 + sqrt(1872) - (-1*sqrt(1872))**2*-5) + 4 + sqrt(1872) + (-4 + sqrt(1872))*5)*-4.\nAnswer: -37427 - 624*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 + 5*c**2 - 15*c - 10. Let m be j(-7). Let h be m - (-1)\/2*14. Solve 4*g - 24 + h = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29804?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*o - 1657 = -9217. What is the lowest common multiple of o and 24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.009 - 1.009. Sort 6, x, -2.\nAnswer: -2, x, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 - 3*m**2 - 6*m - 24. Suppose -40 = -7*y + 9. Let x be j(y). Suppose 2*z + x = 2*h, h = -h + 3*z + 127. Which is smaller: h or 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 494*y**3 - 5*y**2 - 1554*y - 5. Let w(l) = -742*l**3 + 7*l**2 + 2330*l + 7. Let r(x) = 7*i(x) + 5*w(x). Find the second derivative of r(c) wrt c.\nAnswer: -1512*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 4) + 11 + (-12 - -18)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of 0*j**6 + 0*j**5 - 55\/6*j**3 - 15*j + 1\/2*j**2 + 0*j**4 + 0 - 1\/6*j**7. What is the second derivative of g(a) wrt a?\nAnswer: -140*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1229181?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5 + 4)\/(26 - 23). Which is the third smallest value? (a) 1\/2 (b) v (c) -3\/121\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 619, 627, 639, 655, 675?\nAnswer: 699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000314073357 rounded to six dps?\nAnswer: -0.000314","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -43.8150472 >= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -20*x - x**3 - 11*x**2 + 0*x**2 - 41560 + 41544. Let v be n(-9). Solve 0 = -2*q, q - v = b + b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27609708?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 4*d - 4 = -12, 5*d + 1178 = -58*f + 33 for f.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 92 and 4832668?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n**3 + 5*n**3 - 6*n**3 + (-5*n + 0*n + n)*(-n**2 - 2 + 2) - 15*n**3 + 9*n**3 + 13*n**3.\nAnswer: 10*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*g - 5*g + 2*g)*(g**3 + 3*g**2 - 3*g**2 + (g**2 - 4*g**2 + 2*g**2)*(3 - g - 3) - 1152*g**3 - 1136*g**3 + 2735*g**3).\nAnswer: 898*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 4\/7, -5.5, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -3*g - 2 + 0*g + 6*g. What is the tens digit of b(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -21\/4*h**3 - 3\/2 + 9*h**2 - 9\/4*h = 0?\nAnswer: -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of -1555*c**5\/4 - 3177*c**4\/4 + 11244*c. What is the third derivative of y(j) wrt j?\nAnswer: -46650","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1845193?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than -3\/2086?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 644140?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = 9*g - 175, c + 4671*g = 3*c + 4676*g - 103 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 153. Let n be ((-1 - -1)\/3)\/(0 + 1). Which is smaller: q or n?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 less than 21562894316?\nAnswer: 21562894322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -53*l - 5. Calculate r(2).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8016*o**4 + 598*o**2 - o + 3?\nAnswer: -192384*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3770 and 115739.\nAnswer: 1157390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -755, -973, -1517, -2387, -3583, -5105, -6953?\nAnswer: -9127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -167 times -0.060027\nAnswer: 10.024509","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2298 is divided by 230?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 - 24 = 5*d. Let g = -4 - d. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*37\/((-43956)\/(-24)).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4281019?\nAnswer: 4281019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/5)\/((-8)\/40). Is 12 a factor of (0 + q)*5*(-12)\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**3 + k**2 - k**2 - 2*k**3 + k**2 - k**2 + (-k + 0*k + 2*k)*(4*k**2 - k**2 + 2*k**2).\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130*b + 16 = 2*i + 135*b, 14 = 2*i + 4*b for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 98, 668, 2212, 5216, 10166?\nAnswer: 17548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 59 in -3\/5, -2, 0.5, -0.17, -0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((3 - -3 - 10) + -380)*3\/(-4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 3*o - 1. Let k be h(-1). Let l = -2 - k. List the prime factors of l - 17\/(-1)*1.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(54))\/(sqrt(2)*3*-6) + -1.\nAnswer: -1 + sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -5 + 5 - 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2289*1 + (-22 + 9 - -12). Suppose -8*r = 5*r - i. What are the prime factors of r?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*u = -1030 + 778 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405)*-2 - (sqrt(45) - (-3*sqrt(540) + sqrt(540))\/sqrt(12)))\/(sqrt(63)\/(sqrt(336)\/sqrt(3))*5).\nAnswer: -36*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 430163 a multiple of 164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, w: 9, t: 1, a: 6}. Give prob of sequence twgg.\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wgivriiyygiy. What is prob of sequence rw?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.4136 rounded to one decimal place?\nAnswer: 71.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14.574 * -0.015.\nAnswer: -0.21861","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 3*w**3 - 2*w**2 + w - 2. What is z(3)?\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f + 0*f + 7*f - 3*f.\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6370909.\nAnswer: 19, 547, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 7*j - 2. Let x(f) = 8*f - 2. Let b(i) = -7*v(i) + 6*x(i). Suppose 0 = -t - m + 5, -2*t + 3*m - 9 = -3*t. What is b(t)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (2 - 1)) + 74 + -80.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -480 + 738. Let d = o - -657. Calculate the common denominator of d\/240 + 0\/1 and -77\/12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1951.7 - -2165. What is c rounded to the nearest 10?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*(6\/(-75))\/((-54)\/495)?\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/32)\/(33\/(-44)).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4721434.\nAnswer: 2, 373, 6329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-10))\/(1378\/(-127465))*-1?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m - 2. Let q be d(5). Suppose -5*x - 2*f + 0*f = 0, -4*x + f = -13. Solve 4*a + 9 = -q*b, -x*b + 8 = -4*a + 2*a for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13608 a multiple of 189?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 m when two letters picked without replacement from vlhlmhvvlhzllzvl?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - m - 5*m - 2)*(6*m - m - 2*m).\nAnswer: -18*m**2 - 18*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 3:06 PM?\nAnswer: 5:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of s**4 - 41*s**3\/6 + 5*s**2 + 7. What is the hundreds digit of q(22)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2376 + 14291\/6. Let h = 8431 + -50719\/6. Find the common denominator of d and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -31.162 to 0 decimal places.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 1:31 PM?\nAnswer: 3:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = -5*u - 10, 7*l + 15 = 10*l + 8*u for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of a**6\/120 + 3*a**5\/20 - 3*a**4\/8 + 7*a**3\/3 - a**2. Let b be x(-10). What is the derivative of 12 - b*h - 6 - 1 wrt h?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2376 at most as big as 2265?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.8 (b) -7\/4 (c) -2\/13 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -87*q + 11068. What is m(113)?\nAnswer: 1237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 0.2963, -3\/8390?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4436718ms in nanoseconds?\nAnswer: 443671.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u - 64. What is n(0)?\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 80722808 or 80722810?\nAnswer: 80722808","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 1:37 AM?\nAnswer: 5:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -182, -1003, 277.\nAnswer: -1003, -182, -5, 277","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91759452.\nAnswer: 2, 3, 7646621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 296988132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 214 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 are the prime factors of 28240306?\nAnswer: 2, 887, 15919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 65*v**3 - v**2 - v + 1. Let o be x(1). Suppose 3*l - o = 5. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (68\/(-5))\/((-1)\/20). Let i = -123 + u. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 526367 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dvccdcccqddqcdcccv. Give prob of picking 1 d and 1 c.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 7020, 7019, 7020, 7023, 7028, 7035?\n\"Answer: c**2 - 4*c + 7023","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 388? (a) -5 (b) -2\/15 (c) -0.01 (d) 6 (e) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 103923051?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*x = 24*x + 36 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3 - 3 + 5)*(146*d + 15*d**3 - 146*d) + 2927 - 14*d**3 - 2927)*(5 + 3 - 4) in the form j*d**3 + n*d**2 + x + w*d and give j.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (78 - (46 - -4))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) -3\/5 (c) 13424102\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 56619?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6123?\nAnswer: 3, 13, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*x - 11 + 12*x + 6*x + 3*x + 2*x.\nAnswer: x - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, m: 3, i: 1}. Give prob of sequence miy.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 407 + -408. What is the closest to t in 6, -1, 0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -161e (base 16) to base 9.\nAnswer: -7681","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 - 11*m + 3. Let j(k) be the first derivative of -k**3\/3 + 6*k**2 - 4*k - 4482. Calculate 3*j(p) + 4*u(p).\nAnswer: p**2 - 8*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45450 and 150?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 10, -3, 15 in descending order.\nAnswer: 15, 10, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 175690845 to the power of 1\/3, to the nearest integer?\nAnswer: 560","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 - 6*z**2 + 14*z + 7. Let j be f(-8). Let u be (j - 1)*(-15)\/(-30). Suppose 0 = -u*a + 14*a - 318. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 13*o**2 + o - 3. Let m be a(-4). Suppose -4*j + m = -j. Calculate the remainder when j is divided by (-2)\/4*(-1 - 33).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*a - 14*a - 15*a**2 - 1 + 9*a.\nAnswer: -15*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1146298 is divided by 54549?\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 322?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 497 + -497. Let y(u) be the first derivative of 0*u**5 + 0*u**2 + 0*u**4 - u**3 - 4\/3*u**6 - 7 + z*u. Find the third derivative of y(m) wrt m.\nAnswer: -480*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of -25 - 1\/21*k**6 - 2\/3*k**3 - 2\/7*k**2 - 2\/7*k**5 - 9\/14*k**4 + 0*k. Determine i so that l(i) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -45\/697, 2\/5, 28\/43, 1\/3?\nAnswer: 28\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - 2. Let m be ((-10)\/8 + 1)*(-32)\/2368*0. Sort -4, i, m in decreasing order.\nAnswer: m, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95) - (sqrt(95) + (sqrt(95) - 1*sqrt(95))))\/sqrt(5)*-3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11331720?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 4*m - 116. Let o(b) = 6*b - 116. What is -5*o(p) + 6*u(p)?\nAnswer: -6*p - 116","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 49116926 to the power of 1\/2, to the nearest integer?\nAnswer: 7008","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkckkfkdkckkdbfkkkkk. What is prob of sequence fbc?\nAnswer: 1\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 6*i**2 + 176*i - 124*i - 49*i. Let n(m) = -25*m**2 - 12*m. Give -9*a(q) - 2*n(q).\nAnswer: -4*q**2 - 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*4\/10)\/((-192)\/(-120)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - 4*z + 4*z)*(-25*z - 33*z - 2*z**4 + 60*z).\nAnswer: -4*z**5 + 4*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of 87766097.967 and 0.4.\nAnswer: 87766098.367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a tonne in kilograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 21*q**3 + 2*q**2 + 2. Let l(k) be the third derivative of 41*k**6\/120 + k**5\/12 + 5*k**3\/6 - 291*k**2 + 3. Determine 2*l(h) - 5*y(h).\nAnswer: -23*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 7442499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 39 (c) 2.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 13*i**2 - 3*i - 3. Suppose 0*f - 9*f = -162. Suppose f*d - 16*d = 4. Calculate the remainder when 83 is divided by c(d).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4155\/105 - (-5 + 78\/14). Calculate the greatest common factor of y and 4849.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/6*2*15. Put y, -2, -3 in increasing order.\nAnswer: y, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 5*h + 128 = 166, 4*z + h - 76 = 0. Calculate the highest common divisor of 135 and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h - 12. Let s be o(15). Suppose -p + 95 = v, 2*p = 6*p - s*v - 352. What is the highest common divisor of 13 and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 132157\/18 + -7339. Let o be (17\/(-13) - -1)\/(-265). Let d = -265337\/62010 + o. What is the common denominator of k and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1747 divided by -5?\nAnswer: 1747\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 5*j + 12. Let o be d(0). What is the highest common factor of o and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**10\/t)\/(t**(-9\/2)*t)*(t**(-2\/29)*t*t)\/(t*t**7) assuming t is positive.\nAnswer: t**(373\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 143, 135, 123, 107, 87?\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 80965.2 kilograms?\nAnswer: 80.9652","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 1772*w + 4 + 2 - 8 as z + j*w and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157*y + 470*y + 276*y + 28272 = 0 for y.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 891, 683, 125, -957, -2737?\n\"Answer: -29*h**3 - h**2 - 2*h + 923","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((sqrt(252) - (sqrt(252) + sqrt(252) + 2 - sqrt(252) - sqrt(252))) + -2*(-1 + sqrt(7)))**2 + ((sqrt(112)*3)\/sqrt(8) - sqrt(14))\/sqrt(2)).\nAnswer: 8*sqrt(7) + 448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 - 14. Suppose i = 2*s + 31 - 33. Sort -4, -1, s in decreasing order.\nAnswer: s, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 + x**2 + x - 1. Let j(y) = -6*y**3 - y**2 + 8. Let u(b) = -j(b) - 4*v(b). Let n be u(-3). Let o = 4 - n. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b = 11*b - 18*b. Solve b = -7*s + 10 + 11 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v. Suppose 3*t = 2*t - 4, -24 = 4*n + 5*t. Suppose 37*c - 12 = 35*c - 5*j, 10 = 4*c + 3*j. Let d(w) = 1. What is c*d(q) + n*g(q)?\nAnswer: q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 AM and 1:10 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 438\nAnswer: 175.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 11759 = 3694. Let i = a - -794. Let c = i + 1212. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -121*c - 7. Let v = -18 - -16. Is q(v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7774792 times -25?\nAnswer: 194369800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6220 - -588. What is the thousands digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 87 in -3, -0.3, -150?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 53125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 15\/70*2 - (-150)\/42. Let a be (1 - (-5 + f)) + 750. What is the highest common factor of a and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - -3)\/((-8)\/(-40)). Suppose -3*s = 3, -u*q + 5*s + 85841120 = -0*s. Suppose 4*v = 2831777 + q. What is v rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 55*j - 110. Let u be q(2). Factor u + 4\/5*z - 8\/5*z**3 + 14\/5*z**2.\nAnswer: -2*z*(z - 2)*(4*z + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of 3*i**7 + 26*i**5\/5 + 324*i**3 + 193. Find the third derivative of q(g) wrt g.\nAnswer: 2520*g**3 + 624*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 12123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 150 + -54. Suppose 0 = -g - 4*d + f, g - 87 = -5*d + 11. What are the prime factors of g?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 3 = 6. Let u = 5.8 - 0.8. What is the second smallest value in 1\/5, u, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of 13 + 1\/2*c**2 + 8*c. Give l(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10126274.\nAnswer: 2, 31, 163327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3323*b**3*f**2 - 666*b**3*f + b**2*f + 3 wrt f?\nAnswer: -6646*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of -403*o**8\/112 - 313*o**4\/12 + 3*o**2 + 366. Find the second derivative of c(r) wrt r.\nAnswer: -24180*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*u - 145 = -2235. Calculate the remainder when u is divided by 43.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 39*d = -129, -2*d = -22*q + 20*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w + 2. Let x(q) = 5*q - 9. Let b be 4\/20 + (-5 - (-56)\/20). Calculate b*x(s) - 11*u(s).\nAnswer: s - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*i + 637 - 681 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n**2 + 6*n - 5. Let s be f(-5). Let z = s + -11. Let u(m) be the first derivative of m**2\/2 + 31. Give u(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 1:34 PM?\nAnswer: 6:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2745\/(-2970) - (0 + (-3)\/33).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25008946524.500003 + 25008893455. Let a = -53066.5 - h. Let n = a - 3. Round n to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 85011?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r**2 - 11*r. Let w(b) = b**2 - 9*b + 1. Let y(t) = 3*q(t) - 4*w(t). Let m(a) = -2*a**2 - 4*a + 5. What is 3*m(s) + 4*y(s)?\nAnswer: 2*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03434 to four decimal places.\nAnswer: -0.0343","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(567) + -5 + 2)*3 + (1 + sqrt(567) + 1 + sqrt(567)*1 + -3)*-3)**2.\nAnswer: 162*sqrt(7) + 5112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 9*y**3 - 4*y**2 - 12*y + 38. Suppose -t - 3 = -s, s + 0*t - 8 = -4*t. Is i(s) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence baao when four letters picked without replacement from {o: 7, a: 7, b: 4}.\nAnswer: 49\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - 2. Let j = -1.04 + 0.74. Put 2\/3, j, w in increasing order.\nAnswer: w, j, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 - b - 1. Suppose 0*y - 5*a - 23 = 2*y, 0 = y - 5*a - 26. Let f(l) = 2*l**2 - 3*l - 2. Calculate y*q(r) - f(r).\nAnswer: -r**2 + 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.902 rounded to zero dps?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3157.7662 less than 94?\nAnswer: -3063.7662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31 + -21. Is ((-12)\/s)\/((-12)\/280) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2313 - 1045240?\nAnswer: -1042523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 96*s + 129. What is h(-6)?\nAnswer: -447","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 509*l - 182*l = 200*l + 6731 for l.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 21488*d - 69003 wrt d?\nAnswer: 21488","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*r + 72 = -22*r. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/45 and -29\/543.\nAnswer: 8145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t = -11*t - 4*f + 9099, 0 = f - 6. Solve t*o - 8 = 3017*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17654724?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 + 6. Suppose 2*z - z - 7 = t, t = -z - 3. What is the smallest common multiple of z and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -3, 1, -2, 6 in increasing order.\nAnswer: -8, -3, -2, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3180)\/240 + (0 - (-9)\/(-12)). What is the nearest to 0.02 in -2\/7, y, 3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 66, 111, 258, 555, 1050, 1791, 2826?\n\"Answer: 8*z**3 + 3*z**2 - 20*z + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-37 - -30 - (-2 + 7 - 3)) + 0\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.08439 less than -1\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 256 a factor of 846731264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -136262251*z**2 - 739248153*z wrt z?\nAnswer: -272524502","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 22*q + 14. What is the hundreds digit of d(19)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/460 and -31\/10?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 + 5*m**2 - 7*m + 4. Suppose 3*i + 8 = -10. What is the smallest common multiple of 12 and r(i)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (-1 - -5) - 0) + (4 - 2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1318235 + 0.09182378. Let s = 0.04 + q. What is s rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*p**2 - 2*p**2 - 2*p**2)*(3 - 3 + 1) + (1 - 1 + p)*(2 - 2 + 2*p) + (19*p**2 - 134*p**2 - 314*p**2)*(-1 - 1 + 1) to z*p + t*p**2 + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -10840 rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -66, -140, -236, -360, -518?\n\"Answer: -d**3 - 5*d**2 - 52*d - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 + 13*p**2 + 2*p + 2. Let u be k(11). Let a = u - 188. What are the prime factors of a?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*v, 21*m - 25*m - 2*v = -56. Solve -17 = 6*l + m for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q. Let x be (-75)\/(-11) + 152\/836 + -10. Let w(y) = -1. What is x*w(t) + 4*i(t)?\nAnswer: -4*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 7\/6 (b) 368 (c) 0.031 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*b = 89 + 107. Solve -b = -v + 8*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 61\/22 - 14\/11. Sort t, 3\/4, -18.\nAnswer: -18, 3\/4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*o + 244*o - 89*o - 85*o.\nAnswer: -10*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-80)\/10)\/(-20 - (-132)\/11). Let o(a) = -1. Let j(r) = -15*r - 3. What is d*j(c) - 2*o(c)?\nAnswer: -15*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.794854 minutes?\nAnswer: 47691240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f**2 + 6*f. Let x(t) = -4*t**2 + 10*t + 5. Let g(v) = v**2 - v - 1. Let h(b) = 5*g(b) + x(b). Let l = 89 - 83. Determine l*h(o) - 5*r(o).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 + n. Let q(j) = -2*j**2 - 15*j - 8. Let d(p) = -3*f(p) - q(p). What is the units digit of d(9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16.7 - -17. Let c = -249\/986 + 4\/17. Let i = c + 121\/290. What is the closest to 1\/4 in o, i, 1\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1135098 and 20862?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3b35 (base 14) to base 6\nAnswer: 120151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*i + 253888 = -54*i. Suppose 1181*d = 1185*d - i. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 3*x**2 + 14*x - 11. Calculate p(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 30 = -2*i, 3*i + 2*w = -0*i - 26. Let p = i - -16. Let c(x) = -x**3 + 6*x**2 + 1. Let f be c(p). Is -1\/6 less than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -11*v. Let z(q) = 12046*q + 13. Calculate s(z(r)).\nAnswer: -132506*r - 143","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -19*d**2 - 21*d - 69. Let a(l) = -3*l**2 - 2*l - 1. Give 6*a(x) - s(x).\nAnswer: x**2 + 9*x + 63","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**6*t)**(-15)*(t*t\/(t\/((t**(-26)*t)\/t))*t)\/t*t\/(t**(-10)*t) assuming t is positive.\nAnswer: t**(-120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 - 47*w - 88. Let d be z(-45). Suppose -d*s - 5*l = -30, -9*l + 54 = 3*s - 6*l. Solve -15*m = -s*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*t**2\/3 - 11870*t\/3 + 144600 = 0. What is t?\nAnswer: -2410, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3168 at most 3155?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.3476695 rounded to three dps?\nAnswer: -13.348","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 31259131 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23.5 + 27. Let u = j + 76.5. Let p = -80.000148 + u. Round p to 5 decimal places.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -195 divided by -15\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 4*c - 8 = 0. Suppose 7*t + 2*d = 2*t + 21, 3 = -t + c*d. Let m(i) = -8*i**2 + 10*i + 2*i**2 + 5 - 2*i - i**t. What is m(-7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/1699 or -1?\nAnswer: -2\/1699","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-5)\/(-5))\/(2\/4). Suppose -5*r - 17 = k*n, -5*n + 5 = -2*r + 4. Let u be (-14)\/91 + (-1 - n). What is the third biggest value in -4, 0.5, u?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 AM and 3:30 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, -157, 3 in decreasing order.\nAnswer: 3, 0, -4, -157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 a factor of 235986?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -54141 (base 7) to base 12.\nAnswer: -7953","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 146edb (base 15) in base 8?\nAnswer: 3604611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -20. Is 9 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 51833\/34554 - 1\/17277. Let y be (-4)\/6*9\/87. What is the closest to y in v, 5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x + 6. Let y be k(-5). Suppose -3*o + 5*o = c + 5, 0 = 5*c - 5*o + 20. Let d = c + y. Calculate the highest common divisor of d and 130.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29912*k - 157521*k + 44733*k - 112400*k - 111036*k.\nAnswer: -306312*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2079*u**4 - 5*u**3 - u**2 + 5*u + 56 wrt u.\nAnswer: -24948*u**2 - 30*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 28044 divided by -47\nAnswer: -28044\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 - -24. Solve -h + q*h = 20 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/5*(-12 - (-45)\/10). Let v(w) = w + 7. Let q(n) = 2. What is k*q(f) + 2*v(f)?\nAnswer: 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18 - 3 - -4) + (318 - 346).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -66 + 99. Solve 2*o - l = 5*m, 29 = -3*m + 3*o + 2 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**2 + 5614*w + 8356216 = 0.\nAnswer: -1076, 3883","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 8. Let f(z) = -8*z - 75. Let j be f(-15). What is the greatest common divisor of l and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 21 in 0.3, -0.1, 1\/2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 272218 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 7056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 464 - 332. Is 22 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15 and 703245?\nAnswer: 703245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -533215 divided by 106643?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 4*t + 18 = 0. Suppose 0*y - 18 = -y + 3*f, f = -4*y + 7. Suppose -h + y = -0*h. Solve -3*x - 2*x = 20, -t = -2*z + h*x for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14473 and 96722.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 - 16*y**2 - 18*y - 126. What is the tens digit of x(-19)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 78 and 26325?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 215 (base 6) to base 2\nAnswer: 1010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46, 13, -177 in ascending order.\nAnswer: -177, 13, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10814 and -5.\nAnswer: -54070","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 140\/42 - (-5)\/3. Let s(l) = -3*l - 10. Let u(j) = -4*j - 11. Let x(h) = -6*s(h) + 5*u(h). Calculate x(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 + 2*j + 1. Let z be q(-1). Suppose z*k + 5*k = 0. Suppose 5*f - 726 + 271 = k. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 26\/5 + (-6)\/30. Suppose -z = -u + 4. Calculate the smallest common multiple of 1 and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -s - 3064, -4*k = 30*s - 27*s + 3056. Let g = k + 767. Solve g = l + 3 + 2 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 30 = 10*x. Let p(g) = -1 + g + 5 + 0*g. List the prime factors of p(x).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 41.56 * -0.07.\nAnswer: -2.9092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (1 + 15\/(-2)))\/(((-120780)\/(-9768))\/(-305))\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((52\/(-5))\/(-13))\/(1\/(-5))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a centimeter in micrometers?\nAnswer: 85000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -36022*l**3 - 15776?\nAnswer: -108066*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 81 + 197960\/(-2380) + 1?\nAnswer: -20\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*t - 4*h, t = 6*t - h - 8. Let w(l) = 4*l**2 - 1. Let v be w(-1). Let j(p) = 8 - 4*p**v + 0 + 0*p - p + 3*p**3 - p**t. Give j(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 608100 = -574070. Suppose 2*l = q + 43560. Suppose -4*j + 3*u + l = 0, -2*u - u + 70003 = 2*j. Round j to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 8*v + 1. Let h(u) = -15*u - 2. Let j(g) = -5*a(g) - 3*h(g). What is the derivative of j(d) wrt d?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 1399135042?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v + 39. Let u be z(-5). Is 29 at most as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74.79724l to millilitres.\nAnswer: 74797.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2666, -4253, -5814, -7343, -8834, -10281?\nAnswer: -11678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 25*j + 486. Let t(x) = 38*x + 488. Calculate 3*d(c) - 2*t(c).\nAnswer: -c + 482","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 101976252 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -29 (c) -1284\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 261831341 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 39930 and 490?\nAnswer: 1956570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 AM and 10:00 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 410 (b) -0.4 (c) 3\/4 (d) 1 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 55162334471 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, -3.4, -5, 5, 2\/5 in descending order.\nAnswer: 5, 2\/5, -3.4, -5, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tubnixn. What is prob of picking 2 n?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4513\/297 - 466\/33. Calculate the common denominator of j and -127\/162.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that f**4\/7 + 151*f**3\/7 + 150*f**2\/7 = 0.\nAnswer: -150, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -4*m**2 - 23*m + 154. What is j(7)?\nAnswer: -203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134999.\nAnswer: 134999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2358 + 2359. Let s = -0.3 - -0.3. Which is the third smallest value? (a) s (b) 2\/11 (c) -0.03 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-6)*-3*2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 11202122 (base 3) to base 2\nAnswer: 110110010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 8) + (-6)\/2 + (-2459275)\/(-246675).\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -126 - -1 - 141717\/(-1461).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*c - 2*b - 5 = 115*c, 0 = -c + 4*b + 19 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1170479408 and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.07754 + -3.07754. Sort a, 2, 283 in descending order.\nAnswer: 283, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, p: 3}. What is prob of sequence spps?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (2 - -1 - 2) + -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -4*b. Let w = 20 + b. What is the first derivative of 1327*a - 1327*a + 19 + w*a**4 wrt a?\nAnswer: 80*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -11 - -1270?\nAnswer: 1259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/20 and -97\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -6098, -19435, -47292, -96929, -175606, -290583?\n\"Answer: -1210*v**3 - 4867*v - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.113 in 4, 32088, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 p when two letters picked without replacement from {p: 2, n: 2, o: 2}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -392 - 31*t**4 + 392 + (2 + t**3 - 2)*(0*t - 2*t + 4*t) - 3*t**4 + t**4 + 3*t**4 to h*t**3 + q + c*t**2 + g*t**4 + v*t and give g.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l + 62 = 3380. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -2*w**5\/13 + 1178*w**4\/13 + 15538*w**3\/13 + 68438*w**2\/13 + 114280*w\/13 + 60200\/13 = 0.\nAnswer: -5, -2, -1, 602","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gbiowei. Give prob of sequence ib.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (84\/15)\/((-6)\/(-75)). Let w = u - 41. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93416681377 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 326336 or 326331?\nAnswer: 326336","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.0521 (b) -0.2 (c) 0.6 (d) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 2 + -3 - (0 + 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + 22121?\nAnswer: 22210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -450, -1720, -3852, -6858, -10750, -15540?\n\"Answer: -2*u**3 - 419*u**2 + u - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five quarters of a decade?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 - 5*u - 3. Let w be v(6). Suppose -w - 1 = -2*a. What is the remainder when 1308\/2289 - (-24)\/7 is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86992 (base 12) to base 14.\nAnswer: 48a62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*k**2 - 16*k**2 + 6*k**2 - 22*k**3 + 6*k**3.\nAnswer: -16*k**3 - 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 7. Suppose -3*s + 4*h = 36, 0*h - 36 = 3*s - 2*h. Let g be 3\/s*-6*2. Are g and x non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 AM and 5:05 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(9\/3)*2\/((-32)\/40).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 1 + 5)*(3*d + 3*d - 5*d)*(-14*d + 0*d - 8*d) - 179*d**2 - 65*d**2 - 165*d**2 to o + m*d**2 + b*d and give m.\nAnswer: -453","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*c - 3. Suppose -c*f + 3 = -4*v + 1, 2*v + 3*f = 19. What is the second derivative of w**v + 2*w**2 + 3*w - 4*w**2 wrt w?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3\/40 of a second?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -980, -5, -3, -11740 in descending order.\nAnswer: -3, -5, -980, -11740","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1296 and 108?\nAnswer: 1296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*l + 0*l - 19 = 2 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = g + 2*x + 180, 2*g - 180 = -2*x. Let k be 112\/g*((-54)\/24)\/(-3). Which is greater: 2 or k?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -42102750 by 3.\nAnswer: -14034250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.08 (b) 5 (c) -1 (d) -46668\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c, 1 v, and 1 m when four letters picked without replacement from {m: 2, o: 6, c: 9, v: 1}?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 2 r when four letters picked without replacement from rnnree.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**3\/8 + 28683*m**2\/8 - 91412721*m\/8 + 97110780609\/8.\nAnswer: -3*(m - 3187)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -25*i - 3 + 3 + 1 - 2 - i + 2 + (-1 + 0 + 0)*(-i - 3*i + 2*i).\nAnswer: -24*i + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -26\/193041 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a = -2*a - 4*j - 16, 12 = 5*a - 3*j for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -83 - -267. Is 11 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5997 plus 296960?\nAnswer: 302957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.734 + 266?\nAnswer: 265.266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 9) in base 13?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5240528 (base 12) to base 6.\nAnswer: -1312243252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m. Let r(o) = 2*o + 6. Let n(x) = -r(x) + s(x). Calculate n(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -98*f**2 + 120*f**2 - 92*f**2 to c*f + o + x*f**2 and give x.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(((p*p**(-1\/8))\/p*p)\/p*p)*p\/(p**(-4\/3)*p))\/(p**3\/(p\/(p\/(p*p**1\/p))))*p**(-17)\/(p**(2\/13)*p**(-3)) assuming p is positive.\nAnswer: p**(-4585\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/495 and -43\/5885.\nAnswer: 52965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-3\/2))\/c*c*c**(-4\/7))**25*(c*c**(-1))**26\/(c\/(c*c**(-1)))**(1\/2) assuming c is positive.\nAnswer: c**(334\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 462803?\nAnswer: 11, 42073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 2429770?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -37*w**2. Let k(g) = 2480*g**2. Determine -6*k(y) - 403*o(y).\nAnswer: 31*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -2 + 4 - (1 - 14) - 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87148 is divided by 14517.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 206*c + 2944 + 1956 - 1398 = 0 for c.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4726946531 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 - l - 1. Let q(j) = -3*j**3 - 15*j**2 - 5*j. Let h(f) = 4*n(f) - q(f). Let u be h(15). What is the greatest common divisor of 33 and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16436342, 32872721, 49309112, 65745521, 82181954, 98618417, 115054916?\nAnswer: 131491457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 181 = -6*j + 157. Let q(g) = 12*g**2 - g + 20. What is the units digit of q(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 13.635267?\nAnswer: -13.635267","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.0452759 and -0.1.\nAnswer: -0.1452759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 5*h - 4185 = 686, -h = -3*c - 7281. What is the units digit of c\/(-6) + 3\/9*-5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -4*n + 29. Determine u(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16? (a) -4 (b) 5184 (c) 1\/9 (d) 0.3 (e) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 201 + -433. Let h = 136 - k. List the prime factors of h.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2675?\nAnswer: 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -16. Suppose w = -2*w + f. What is the second derivative of 6*d**w - 3*d**5 + 0*d + d - 8*d**5 wrt d?\nAnswer: -100*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 - z**2 + 12*z. Does 42 divide f(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 171 and 549.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x + 2. Let c(i) be the third derivative of -i**3\/6 - 6*i**2. Let f(m) = -2*c(m) - z(m). Suppose 2*o + 0*o = -2. What is f(o)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 12*i**2 - i - 2. Let j be u(1). Which is smaller: j or -452?\nAnswer: -452","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 36? (a) 1\/4 (b) -2.4 (c) -2 (d) 0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 171*o + 5114. Give z(-30).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 + 847?\nAnswer: 841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 - 8*g**2 - 9*g + 5. Let l be c(9). Suppose -2*f + 0 + 5 = b, -3*b - l = 2*f. Solve 9 = -2*k - f*y, -6 = 3*k - 6*k - y for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 - 3. Calculate h(-6).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 122*q**6 + 75809*q**3 - 37892*q**3 - 37896*q**3 + 3750*q**2 + 586*q**2 wrt q?\nAnswer: 14640*q**3 + 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cacc when four letters picked without replacement from ccaacccacccccccacc?\nAnswer: 91\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4383)\/195 - 5) + 3\/(-5) + (-10)\/(-130).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2*f**2. Let u(s) = 2*s + 7. Let h(o) = -1. Let w(v) = 5*h(v) + u(v). Let l(j) = -3 + 0 + 3*j - 5*j. Let b(z) = 2*l(z) + 3*w(z). Determine c(b(q)).\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54\/(-81)*(3\/(-2) + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -72 - -2539?\nAnswer: 2467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 544864713?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, h: 5, d: 2}. What is prob of picking 2 h and 1 d?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 PM and 11:50 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = 11*i + n - 11, i + 4 = 6*n. Suppose 3*r + 0*r = 0. Solve -4*m - 5 = -3*c, r*m = 5*c + i*m + 9 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 + 4*w**2 - 3*w + 7. Let c(p) = -2*p - 1. Let b be c(2). Let a be m(b). Put -2\/9, a, -0.5 in descending order.\nAnswer: -2\/9, -0.5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/2)\/(81\/135594*-31)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -3*b + 11. Let z be w(10). Let h = z - -22. Solve 1 = -4*g + h*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/8*(2\/2)\/(-5).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -71*i - 8 + 142*i - 76*i + i**2. Give d(11).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l. Suppose -9*a + 287 = -10. Let q be (-3 + a\/15)*30\/(-4). Suppose 1 + 5 = q*j. Give h(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-2*sqrt(160) + sqrt(160))*3)\/((sqrt(240)\/(sqrt(6) + sqrt(24)))\/(-1*sqrt(405))).\nAnswer: -162*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 593400 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 2 (c) 2\/5 (d) -811\/18 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - 2. Let q(y) = 29*y**3 - 63*y**2 + 7*y - 10. Let d(z) = -9*z**3 + 20*z**2 - 3*z + 3. Let b(x) = -16*d(x) - 5*q(x). What is b(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1259177 * -1255.\nAnswer: -158.0267135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/4 - (-10)\/40. Suppose h = z - 3*j - 73, -3*z + j - 135 = -394. Calculate the highest common factor of 8 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-1\/42))\/u**7 assuming u is positive.\nAnswer: u**(-251\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -10 + 5 - -8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -36, -4, -46 in descending order.\nAnswer: -4, -36, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/852 and 19\/2840.\nAnswer: 8520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 692063?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 191 divide 1393573752?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-1))\/(99\/(-6)) - 1050\/1925.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -2.7, -89049, 4?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0452455 to 4 decimal places.\nAnswer: 0.0452","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 8904*y**2 - 36*y. Suppose -2*c - 58 = -16. Let x = c + 5. Let j be z(x). What is j rounded to the nearest one hundred thousand?\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5\/4)\/((-3)\/(-48)). Let l(q) = 4*q**2 - 20 + k. Let j(t) = 2*t. Determine j(l(x)).\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-12)\/(-9))\/(5\/45))\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5\/8 of a tonne?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -30, -34, -32, -18, 14, 70, 156?\n\"Answer: k**3 - 3*k**2 - 2*k - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1.72 * -0.1\nAnswer: -0.172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 131*x = 135*x + 4, 4*x = -28*p + 9*p + 26 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 338 + -334. Suppose -f + t = 0, -4*q - 2*f = -q - 1547. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -6*c + 2*c. Let k = c - -4. Find the second derivative of 0*d + 2*d + d**k + 0*d**3 wrt d.\nAnswer: 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 111625259 to the nearest integer?\nAnswer: 481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - -13. Is 13 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -10\/3 (b) 0.06 (c) -30933 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3\/6 + 55*g**2\/2 + 218792*g\/3 + 145750.\nAnswer: -(g - 750)*(g + 2)*(g + 583)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*s - 2*s - 14*s)*(-140*s + 140*s - s**2 - 73) in the form t + j*s + f*s**2 + g*s**3 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 8*x**2 - 9*x + 35. Let h be z(5). Let g be 608\/h + (-4)\/(-5). Solve -11 = -2*m - m - g*o, 12 = 4*m + 4*o for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 23076.1 and 5?\nAnswer: 115380.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 11 - 2. Let w be 84\/16*(-48)\/(-9). Let y be (-16)\/42*(-21)\/w. Sort z, y, -4.\nAnswer: -4, z, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 90\/175 - (2\/7)\/(-1). Which is the nearest to -2\/7? (a) -1\/4 (b) -0.04 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 29183, 29746, 30685, 32000, 33691?\n\"Answer: 188*n**2 - n + 28996","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.4472215 rounded to two dps?\nAnswer: 4.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k**3 - 4*k**2 + 3*k - 2. Let j be y(2). Suppose -12 = j*d + 4*u, -5*d + 0*u - 4*u - 10 = 0. Suppose -3*q = -d*q - 35. Is 6 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -388*i + 10*i**2 - i**2 + 10*i**2 + 0*i**2.\nAnswer: 19*i**2 - 388*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1750*m - 357*m = -393*m + 28576 for m.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 296*m - 592*m - 1004 + 332*m + 37*m**2 wrt m?\nAnswer: 74*m + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -171 - 225. What are the prime factors of (2\/6)\/((-6)\/a)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -540*t. Let c(i) = 6*i + 2342. Give j(c(r)).\nAnswer: -3240*r - 1264680","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 - 7*m + 7. Determine t(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c + 3 - 3)*((c - 2*c + 0*c)*(c + c + 0*c) + (1 + 1 + 0)*(301*c**2 - 56*c**2 + 181*c**2)) - 5*c - 3*c**3 + 5*c.\nAnswer: 847*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 28832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 17320\nAnswer: -34640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 8 + 12 = 4*r, w - 3 = 0. Solve d = -d - r for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 8, -19, -5, -2\/3, 0.03?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -431 + 143. Let y = q - -287.999947. Round y to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 425656?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*d + 2*d + 3*d)*(-2*d - 4 + 4) + 2*d - 2*d - d**2.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3, 44, -0.2, 2\/9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.16552 rounded to 2 decimal places?\nAnswer: -1.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 18 = -2*r, 0 = 4*r + 6*k - k - 50. Suppose 3*t = b + 122 - r, b - 5 = 0. Is t a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 0.1 (b) 0.08 (c) 1383 (d) 2 (e) 1\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 49 - 74 - (-50 - 1).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -8*y**3 + 1128*y**2 - 7*y + 1122. What is l(141)?\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 45672 a multiple of 173?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of j**6\/120 - j**5\/3 + 3*j**4\/4 + j**3\/3 + 1704*j**2. Calculate v(19).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -34.75 - -28. Let d = u + 7. What is d rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1131 != 1134?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -444061*b**2*i**2 - 9*b*i**2 - b - 2 wrt b.\nAnswer: -888122*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -6.3. Let x = -2.3 + -0.7. Which is the nearest to 1? (a) v (b) x (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 197 is divided by 57?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p**11))\/(p**(-8)\/p))**(-5\/7)*((p*(p\/(p**1*p))\/p*p)**(18\/5))**(-2\/27) assuming p is positive.\nAnswer: p**(10\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.148 + 1.748. Let x = -5 - -21. What is the second biggest value in 1\/7, i, -1, x?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -146471*c**5 + 4*c**4 + 31*c**2 - 497 wrt c?\nAnswer: -8788260*c**2 + 96*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*v + 2. Let m(j) = -v - j - 2*j + 7*j. Determine m(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20 - 0) + 124 + -55 - (0 - 15)) + -5?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + -103363?\nAnswer: -103363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 PM and 2:15 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 69047 * 0.17\nAnswer: 11737.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s. Let z be n(-3). Let w be 0 - (-4 + -1 + z). Solve -m = -5*t + 8, 2*m - 3*m = -w for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60) + sqrt(180)\/sqrt(3))\/sqrt(2))\/(-2*sqrt(486)).\nAnswer: -sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one tenth of a centimeter?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 8) to base 6\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -z + 4. Suppose 0 = w + 5*a - 24, -3 = z*a + 3. Calculate the remainder when 63 is divided by w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that s**3\/9 - 7*s**2\/9 - 136*s\/9 - 128\/9 = 0.\nAnswer: -8, -1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 5*l - 16 - 32, -3*a + 4*l + 36 = 0. Suppose 3*n - a = n. Solve -3*s = -n + 21 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -324345142 divided by -22?\nAnswer: 14742961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, 58 in ascending order.\nAnswer: -5, 3, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/1544 and -38\/11.\nAnswer: 16984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of -2*p**2 - 55*p + 77. Let o be n(-15). Solve 4*q = -2*g + o*g + 31, 0 = g + 5 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119831976?\nAnswer: 2, 3, 11, 151303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 1 = 4*o, -2*o + 3 - 7 = 4*u. Suppose 0 = -5*p + y + y - 28, 5*y - 12 = -2*p. Sort 5, -2, p, u in descending order.\nAnswer: 5, u, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1443, -2906, -4369, -5832?\n\"Answer: -1463*q + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*a = 10*a + 153. Let p = 56 - a. What is the fourth smallest value in 2, 2\/7, p, 3\/4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + -358?\nAnswer: -360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a**4 + 18*a**3 - 124*a**2.\nAnswer: 48*a + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 4*n**3 - 2*n**2 - 549*n + 551. Determine o(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2653441?\nAnswer: 7, 23, 16481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 10330 (base 4) to base 2\nAnswer: 100111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 459 and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 159*b - 4. What is c(-2)?\nAnswer: -322","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 12 = -4*t. Let q be 7\/3 - (-4)\/t. Suppose 2*n + 15 = 3*p, -2*n = 2*p - 9 - q. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -835400 to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 5*a**2 - 5. Let v(c) = c**2. Let m(r) = -q(r) + 3*v(r). Let g(s) = -2*s**2 + 6. What is 2*g(k) - 3*m(k)?\nAnswer: 2*k**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 308422 a multiple of 294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**2*v*v\/(v\/((v*v**6)\/v*v*v*v))*(v*v**(2\/7))**(-4\/7))**(-4\/5) assuming v is positive.\nAnswer: v**(-2208\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1331120202 - 10?\nAnswer: -1331120212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of d**4\/4 + 5*d**3\/3 + d**2\/2 + 2*d - 206. Give z(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4713126 and 198.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 10*b**4 + 34015*b**3 + 29086235*b**2 + 272699840*b - 474608640 = 0.\nAnswer: -1696, -11, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-90)\/15 - (-3 + 1). Sort h, 0, 4 in decreasing order.\nAnswer: 4, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-34)\/6*-1*3. Suppose 5*m + 3*l + v = 5, 0 = -m + 3*l + 12. Suppose -3*i + 1 + 20 = m. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*j**4 - 52206516*j**3 + 18840127*j**2 + 7 wrt j.\nAnswer: 48*j - 313239096","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one quarter of a milligram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, 1, -7.\nAnswer: -7, -5, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 504 divide 172368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2))**(4\/13)*g**2*(g\/(g*g**(2\/3)))\/g assuming g is positive.\nAnswer: g**(-11\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 1\/67, 5.9 in ascending order.\nAnswer: 1\/67, 5.9, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 4*z**2 + 111*z - 38. Let v be l(-28). Suppose -5*w - 33 + 13 = 0. Which is the biggest value? (a) v (b) -1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 4*w - 556, 3*w + 2*v + 146 = 563. Let f = -123 + w. Calculate the greatest common divisor of f and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -33888, -30305, -26722, -23139, -19556, -15973?\n\"Answer: 3583*t - 37471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4 - (-4)\/1)*2\/(-4). Suppose u = -5*a - 2*p + 875, 4*a - p = -a + 875. What is a rounded to the nearest 10?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -1.31.\nAnswer: -6.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/9080 and 53\/589292.\nAnswer: 5892920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 107364 = 107367?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2157352 is divided by 12616?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/6)\/(80\/320).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -123385 + 3*y**2 + 123388 + 122*y**3 - y**2 as r*y + g*y**2 + v*y**3 + j and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of -2*j**3\/3 - 29. Let a(o) = -13*o**2. What is a(b(r))?\nAnswer: -52*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-1) - (1 + (1 - 2)). What is the tens digit of (-2188)\/(-8) - g\/(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 54352*k**2*r**2 + 2*k**2*r + 80*k**2 + 13*k*r**2 + 6*k*r - 50*k + 3*r**2 - 3 wrt k.\nAnswer: 108704*r**2 + 4*r + 160","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 515\/(-25))\/((-360)\/(-25) - 14)?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3625 and 250.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**4 - 36*h**3 - 166*h**2 - 216*h - 88.\nAnswer: 2*(h - 22)*(h + 1)**2*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -96*j**2*s + 44*j**2 + 2 wrt s.\nAnswer: -96*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*j**4 - 6*j**4 + 3*j**4 + 2 + 7*j to the form c*j**4 + f*j**3 + w + n*j**2 + x*j and give x.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*z - 68. Let t = -1 - z. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 52 = 4*j, 3*z + 14 = -j - 5. Let p be (-75)\/10*(-8)\/j. Let u = p + 11\/2. Are 1 and u non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 AM and 9:45 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 + 9*n**2 - 9*n + 17. Let v be w(7). Let i = v + -37. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101945097 divided by -177?\nAnswer: -575961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, x: 1, r: 1, a: 1, i: 1}. What is prob of picking 1 a and 1 o?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 x when two letters picked without replacement from gkrqxrn.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 3665 = 92*k + 93 for k.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1263034?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -47, -34, -13, 16?\n\"Answer: 4*h**2 + h - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21 + -26. Let y be (-7538)\/p + 18\/45. Suppose -12*f + 8*f = y. What is f rounded to the nearest ten?\nAnswer: -380","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38854.\nAnswer: 2, 19427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3939 (base 10) in base 3?\nAnswer: 12101220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - 6*b + 3*b)*(1 + 3 - 3)*(4 - 2 - 7) + (-5 + 2 + 1)*(0*b - 2*b + 3*b) + 0 - 2*b + 0 + 27*b + 27*b - 20*b.\nAnswer: 35*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -1\/13 (b) 9 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((3 - 1) + 2)\/1. Let n be (-3)\/(6\/(-2))*c. Suppose -n = -q - q. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -34*f**5 - 23*f**5 + 39*f**5 - 36*f**2 wrt f?\nAnswer: -1080*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -48 - -34.2. Let f = -14 - d. Let w = -0.05 + 3.05. Which is the nearest to w? (a) 6\/7 (b) f (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25 and 1353.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64173 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -312835, 3\/5, 1, 2\/3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 213, 1936, 6669, 15918, 31189, 53988, 85821, 128194?\n\"Answer: 251*c**3 - c**2 - 31*c - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-4*(sqrt(288) + sqrt(288) + 0 + -3) + -5)**2 + (1*sqrt(288) + 3 + -2 + -1)**2).\nAnswer: -37538 + 2688*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 1021*x**2 - 9*x + 9. List the prime factors of m(-2).\nAnswer: 4111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 272422 is divided by 510?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 112 = -48. Suppose 3*n - 489 = -141. Let w = n - 112. Calculate the smallest common multiple of j and w.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1016549, -1016551, -1016553, -1016555, -1016557, -1016559?\n\"Answer: -2*i - 1016547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - m = -1, -p - 4*m + m + 11 = 0. Let c(z) be the third derivative of 0*z - 9*z**p + 1\/2*z**3 + 0 + 1\/3*z**4. What is the derivative of c(u) wrt u?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60) - (sqrt(1500) + -3*sqrt(1500)))\/(sqrt(144)\/(sqrt(12)*-1)).\nAnswer: -11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40 and 832699640.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/79672, -3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(1\/5)*-1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*c - 294 - 111. Calculate the remainder when 129 is divided by c.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(3\/10)\/t)\/t)\/t**(11\/3) assuming t is positive.\nAnswer: t**(-161\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -26*b**3 - b + 5. Let r(v) = -20*v**3 + 4. Let a(q) = -2*f(q) + 3*r(q). Calculate a(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - w = -0*q + 45, 0 = 5*q + w + 75. Let x = q + 43. Let d = x + -26. Sort -3, 3, d in descending order.\nAnswer: 3, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 3 t when four letters picked without replacement from tztttttttttttttttz.\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -358 - -353. Sort h, -4, -1, -6 in descending order.\nAnswer: -1, -4, h, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2813 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16\/14*(-21)\/(-6). Let k be y*(-1)\/22 - 48\/(-22). Solve 4 = k*p - 0*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 8*j**2 + 21690*j + 21691. Give c(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 - 9*u - 8. Let m be g(-8). Is m smaller than -1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-621)\/(-1944) - (-1)\/8. What is the third smallest value in h, 5, -4\/29?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -44 (base 5) to base 14.\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.08 or -30\/13?\nAnswer: -30\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1180 is divided by 32?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 AM and 12:41 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eec when three letters picked without replacement from eeahhchhehehheehh?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.07, -0.3, 0.3 in increasing order.\nAnswer: -4, -0.3, -0.07, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -6350 rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 - (46 - 57 - (-11 + 3)) - 2) + 79.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 8 - 3 - 4 - 9*b**2 - 1. Let f(d) = -8*d + d + 2*d. Determine y(f(q)).\nAnswer: -225*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j - 1. Let a(n) = -8*n + 3. Determine -a(w) - 4*o(w).\nAnswer: 12*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3265453 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of l**5\/20 - 5*l**4\/12 - 5*l**3\/2 - 5*l**2 - 23*l. Let b be u(-5). Let x be -2*46\/(-20) - 74\/b. Solve 4*c = -3 - x for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -1.7. Suppose -l + 15 = -4*k, -k - 6 = -3*l - 2*k. Let d be (-50)\/21 + (-4)\/14 + l. Put f, d, -1\/2 in ascending order.\nAnswer: -1\/2, f, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -27233, -27560, -27889, -28220, -28553?\n\"Answer: -z**2 - 324*z - 26908","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*b - 37*b = 10. Factor -6*o**2 + 12*o**b - 12*o**2 - 44*o + 2*o**2.\nAnswer: -4*o*(o + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 + 0.13. Let m = p + 0.17. Let j = -0.37 + m. Round j to 2 dps.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115.785301 plus 2408?\nAnswer: 2523.785301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*3*sqrt(117)*-6)\/(sqrt(1296) + 3*sqrt(1296)*2 + sqrt(1296)).\nAnswer: -3*sqrt(13)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -365*n**2 + 33840*n - 33840*n + (-2 + 2 + 2*n**2)*(1 + 2 - 1).\nAnswer: -361*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 587969480.\nAnswer: 2, 5, 7, 17, 101, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 + -5. What is the units digit of 2\/j - 224\/(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 28\/3*p**3 + 140 + 229\/3*p**2 + 548\/3*p - 1\/3*p**4 = 0.\nAnswer: -3, -2, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 553\/(-63) + 3 + 6\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11196, -3, 2, 1, 6, 5 in descending order.\nAnswer: 11196, 6, 5, 2, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 12:18 AM?\nAnswer: 6:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*s - 4. Let p be (s\/(-6))\/((-4)\/(-316)). Let r = p + -26. Which is bigger: 0.3 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-40)\/(-5))\/(-4) + 4. Suppose 3*s - l*s = -5*f + 56, -20 = -2*f - s. What is the smallest common multiple of 2 and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from {y: 3, f: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000030212 rounded to 6 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(1764) + -1*-1*sqrt(1764)))\/((sqrt(12) - sqrt(432)*1 - (sqrt(972)*1 + sqrt(972) - sqrt(12)))*-2)*3.\nAnswer: 63*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 972*i - 8962 - 13587 = 63959 for i.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47 (base 10) to base 7.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 0*j + 8 = 0, -3*k + 4*j + 127 = 0. Find the first derivative of 9 - 12 - 27 + k*n**4 wrt n.\nAnswer: 180*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-1\/4)*s*s*s**(2\/5)*(s*s**2)\/((s\/s**(5\/6)*s)\/s)*((s*s**1*s)**(-3))**4 assuming s is positive.\nAnswer: s**(-1861\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/5 of a hour?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 224\/(-70)*(0 - 5). Let t = k - 25. Let r = t - -13. What is the nearest to -1 in 0, r, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 4*u + u - 21 = 0 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 4 + (3 + sqrt(684))*-4 + (1 + sqrt(684) + sqrt(684))*5.\nAnswer: -3 + 36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8317 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (335\/134*12\/5)\/(-8).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*u = 75*u - 3. Let -f**4 - 8*f**2 + 9 + 63*f - 18*f - 19*f - 20*f - 6*f**u = 0. What is f?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -226, 1.7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53009.\nAnswer: 11, 61, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, y: 16}. What is prob of sequence yyy?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 7}. What is prob of picking 2 o?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 22 + 148. Suppose -38*y + 1422 = -1547 - 1211. Let n = y - p. Does 4 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27180 = -8000*j + 7245*j for j.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3776997?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2904365647?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 16+414550.891\nAnswer: 414566.891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(60)\/sqrt(768) - -2*sqrt(30)\/sqrt(6)) + 1 + -3.\nAnswer: -2 + 17*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 246085 divided by -7031.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11451648 a multiple of 768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v + 4 - 4 - v**2 + 1)*(-2*v + 2*v - 3*v**3 + (2 + 1 - 1)*(-2 + 2 + 2*v**3) + 0*v + 0*v - v**3 + 2*v**3 - 2*v**3 + 3*v**3 - 4*v**3 + v**3 + 2*v**3).\nAnswer: -2*v**5 + 4*v**4 + 2*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of 8*i**8\/21 + 3*i**6\/20 - 649*i**5\/30 + 8372*i**2. Find the third derivative of h(l) wrt l.\nAnswer: 7680*l**2 + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -3*i. Suppose 155 = 5*l + 3*c + 19, 5*l - 126 = 2*c. Suppose 16 = 7*s - l. What is the smallest common multiple of w(-2) and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -242, -240, -238?\nAnswer: -236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 518\/(-4)*(348 - (-329400)\/(-945))\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3744 = -1380*i + 1524*i for i.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -3.6, -5052, -16\/9?\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 1.5. Sort 1\/3, 1\/102, y.\nAnswer: 1\/102, 1\/3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of 11*r**4\/12 + 5*r**3\/6 + 2246*r. Let a(s) = -11*s**2 - 4*s. What is -4*a(l) - 3*m(l)?\nAnswer: 11*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a centimeter in micrometers?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v - 2 + 14 - 12. Let f(n) = n. Let b(y) = -2*y**2 - 4*y + 5. Let p(w) = -b(w) - 4*f(w). What is p(g(x))?\nAnswer: 8*x**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5745074 centuries in decades?\nAnswer: 5.745074","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t + 6. Let i be a(10). Let s be -36*(78\/(-12))\/(2\/i). Let j = -151 - s. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 + 51. Is w a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -315*c - 328*c - 47266 - 25737 = -1630 for c.\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of d**4\/24 + d**3\/3 - 6*d**2. Let z be m(-1). Is (z*-107)\/(6\/(-12)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of (31 + 5)\/(-6) + 71390\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 57 = b, p + 2*b = 4*p - 75. Solve -75 = -p*t + 6 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 638*o + 62402 - 62402 as a*o + u and give a.\nAnswer: 638","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 2*p + 3*p + 2, -z = 3*p + 1. Let m be (-3 + z + -1)\/(-1). Solve -m*t = -t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 650944, 2\/9 in increasing order.\nAnswer: 2\/9, 4, 650944","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1251 + 891. What is the second smallest value in -2\/9, 1\/5, t?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6293 < 144717\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*i + 4*i**3 + 4*i - i**2 - 2 - i**2 + 3*i**2 + 0*i**2 - 6*i**4 in the form l*i + p*i**2 + c*i**4 + d*i**3 + x and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 3064 = 67*n - 71*n, -5*n + 3821 = 4*q. Does 68 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-12) + 7\/4 + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 + 13*u - 36. Let m = 73 - 65. Let k be f(m). Let b be (-283)\/57 - -2 - (-12)\/k. Is -1 smaller than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -312, -404, -496?\n\"Answer: -92*r - 220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m - 1. Let n(c) = 3964*c - 2973. Give -2973*j(x) + n(x).\nAnswer: 991*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hojjhjgjgsjgjjjhzjj. Give prob of picking 1 z and 1 j.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -35*h**3 - 42*h**3 - 266*h**3 + (0*h - 2*h**3 + 0*h)*(0 + 0 + 1) + 3 - 3 - h**3 - 2*h**2 - h**3 + 2*h**2 + (3 + 3 - 5)*(-2*h**3 + h**2 - h**2).\nAnswer: -349*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1554 is divided by 3*(-9 + 112) - (-10 - 5 - -6)?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 + 5*n - 10. Let q be p(-7). Let l be ((-20)\/(-25))\/(54\/15). What is the nearest to 1\/4 in l, q, -1\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 156011.6 grams to kilograms.\nAnswer: 156.0116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 2*o + 4 = 0, 0 = -5*o - 1 - 4. Let d be 6\/(9\/y) - -2. Suppose -2*l - d*g = 0, g - 2*g = -4*l - 18. Is l >= -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29136 divided by -1.\nAnswer: 29136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 260?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 86635 - 24263. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54190 is divided by 64.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -4 + -2 - (0 - 1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -5*h**3 - 7*h**2 - 8. Let d(t) = t**2 + 1. Suppose 4*r - 3*v + 12 = 0, -34*v + 29*v = 5*r + 50. Determine r*d(y) - m(y).\nAnswer: 5*y**3 + y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 781*k + 0 - 4*k**2 + 2 - 308*k + 386*k in the form b*k + h + s*k**2 and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in 0.5, 1\/10, 1\/9, 0.06, -19\/5?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u = -5*u - 6265. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 - 10*t + 7. Let n be a(8). Let o be 1\/4 + n\/((-72)\/10). Which is greater: o or 1.2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - -7221?\nAnswer: 7223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/3, 0.1, 4, 6\/11, 2\/13 in decreasing order.\nAnswer: 4, 6\/11, 2\/13, 0.1, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -56, -2, 4904, -4, -3 in decreasing order.\nAnswer: 4904, -2, -3, -4, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 18 - 33 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1111\/35 + -218\/7. Let v be 18\/(-30) + (-36)\/(-10). Solve -3\/5*u**4 + 3\/5*u**2 - 3\/5*u**5 + z*u**v + 0*u + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 912 = -0*g. Let i = g + -120. Let b = 174 + -162. Calculate the highest common divisor of b and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of -2*j**3\/3 - 5. Let a(u) = -3*u**2. Give b(a(q)).\nAnswer: -18*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -12254 - 37546780575?\nAnswer: -37546792829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 671 + -4?\nAnswer: 66d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 967 is divided by 511?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -24810 take away 101?\nAnswer: -24911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -497, -508, -531, -572, -637, -732, -863, -1036?\nAnswer: -1257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 166823 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2171637 is divided by 1267.\nAnswer: 1266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of m**2*x**3 - 11*m**2 + 120*m*x**3 - 17*x wrt x.\nAnswer: 6*m**2*x + 720*m*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1741060031 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*o + 87 - 47 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 91518 and 3381.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5982*i + 5973*i + 36 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28563 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 193 = 4*z + i - 57, 6*z - z + 23 = 43821*i - 43822*i for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 15\/(-6)*(3 + -5). Suppose 27*n - 24 = -3*f + 23*n, 3*f - 5*n + 3 = 0. Solve 29 = 5*v - f*z, -m*v + z + 28 = -2*z for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -324 - -119. Let i be -1 - s\/(1 + -6). Is (-2)\/3 + (-3850)\/i a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 378 + -4738?\nAnswer: -4360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*g**3 - 39*g**3 - 44*g**3 + 126*g**3.\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10954?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 7*j**2 + 2. Let i(q) = -1. Determine -2*i(s) - k(s).\nAnswer: -7*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 76550 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 55686020 and 1040.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 11 = 2*f - 6*f, 5*f = 4*p. Let j be (-32)\/(-40) - 9\/p. Sort -14, 1, j in decreasing order.\nAnswer: 1, j, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*q = 23*q - 60. What is the third derivative of 2982*c**2 - 61*c**5 - 2984*c**2 + 14 + q wrt c?\nAnswer: -3660*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16941, 34906, 52871, 70836, 88801, 106766?\nAnswer: 124731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.5*37.594342.\nAnswer: 56.391513","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 5684940, 11369881, 17054822?\n\"Answer: 5684941*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2.6 (b) 0 (c) -5 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/3192 and 1\/(18 + (-15774)\/913).\nAnswer: 15960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of -21*v**3 - 39*v**2 - 169*v\/7 - 5744. Determine i, given that y(i) = 0.\nAnswer: -13\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24441 + -1413. List the prime factors of z.\nAnswer: 2, 3, 19, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13081 + 19814. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 11\/3 (b) -2 (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -49 by 7.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 13821706 to the power of 1\/2, to the nearest integer?\nAnswer: 3718","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three quarters of a millimeter in micrometers?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -472 + 336 + -15 - (1 + -27).\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176*s + 256*s + 31782079 = 89648047. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 3*o + 65 = 0, 0 = -o + 6*o + 15. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/3))**(-49))**(-13\/5)\/((k**(-3)*k*(k\/(k**(-1\/2)\/k)*k)\/k)\/((k**(-1)\/k*k)\/k)**(-9)) assuming k is positive.\nAnswer: k**(1799\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 445?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.10111 + 2.1. Round h to 4 decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -929 * 243\nAnswer: -225747","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 7:36 AM?\nAnswer: 5:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*m**3 + 7*m**3 + 5*m**3 - 13*m**3 + m**3 - 27*m**3 + 9*m**3.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -4*y + 1. Let o be (-7)\/((-98)\/32) - 2\/7. Determine w(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 44 = 3*z, 3*c = -4*z + 12 + 52 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 0*g + 0 + 0*g**2 + 0*g**3 + 2\/3*g**5 - 4\/3*g**4 = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*k - 11983 = -11151 for k.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001552792331 rounded to 7 decimal places?\nAnswer: -0.0001553","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-4 + (7 - -1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 5*i - 7. Suppose -7*u + 28 = -4*u - 5*y, -4*u = y - 45. Let v = u + -5. List the prime factors of n(v).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 32 + -22. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-26 + 13 - 2)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7 - (2 + -4 + (-25)\/(-5)). Let v(k) = k + 7. Let x be v(-4). Solve -4*l - t*g = -7*g + 8, -l - x*g - 17 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -833878, -833879, -833880, -833881, -833882?\nAnswer: -833883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of k**6\/135 + 2*k**5\/5 + 74*k**4\/27 - 352*k**3\/3 + 7744*k**2\/9 + 5*k - 84. Factor w(x).\nAnswer: 2*(x - 4)**2*(x + 22)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 - 33*f - 124. Calculate w(-28).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, s: 5}. Give prob of picking 1 s and 1 v.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/69)\/y*y*y**(12\/13)*y)\/(y*y*y\/y**(5\/6)*y)**(3\/22) assuming y is positive.\nAnswer: y**(57713\/39468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10094 and 98.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16845*t**2 - 16846*t**2 + t**3 - 3*t - 7484 + 0*t**3 + 33691*t**2.\nAnswer: t**3 - 3*t - 7484","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.2885 + 0.7115. Which is the closest to 2? (a) f (b) -4 (c) -2\/21 (d) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-141)\/12 + 13)*4. Let h be (-2)\/(-3) - ((-552)\/99)\/(-4). Put 0.12, t, h in descending order.\nAnswer: t, 0.12, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37067 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: Find j such that 2*j**5\/17 + 676*j**4\/17 - 4*j**3\/17 - 1352*j**2\/17 + 2*j\/17 + 676\/17 = 0.\nAnswer: -338, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 55535.36, 0.45, 0.1 in ascending order.\nAnswer: 0.1, 0.45, 55535.36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20124 - 20124 - 179*h - 23*h - h**2.\nAnswer: -h**2 - 202*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4*9\/48 - -2. Let x = t + -3. Which is bigger: -4\/3 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 + 3)*(0 + 0*h + 1 + h).\nAnswer: 7*h + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 + -14. Let i(b) = -2*b + 3 - 2 + b. Give i(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-14)\/(-6))\/((-1)\/3). Let n = -4 - h. List the prime factors of ((-2)\/n)\/(4\/(-18)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 6 (b) 0.18 (c) 14 (d) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 4*a - 111, -a + 2*r = 3*r - 27. List the prime factors of a.\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) -23 (b) -5 (c) -3\/2 (d) 23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of -3\/350*k**7 + 0*k**3 - 11*k**2 + 0*k - 1\/40*k**4 + 0 - 1\/20*k**5 - 7\/200*k**6. Factor y(z).\nAnswer: -3*z*(z + 1)**2*(3*z + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1438\/5 + 2979\/10. Find the common denominator of i and -63\/22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of -f**6\/120 + f**5\/60 - 7*f**3\/6 - 3541*f**2. Let s(z) = -z**3 + 2*z**2 - 15. Calculate -7*j(q) + 3*s(q).\nAnswer: 4*q**3 - q**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 7 = s, -3*s - 7 = -4*l - 22. Let w be s*3*(-5 + 10). Suppose 155 = 5*d + w. Is d a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 220*3.\nAnswer: 660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.8 + 1. Let d = -2.7 + v. Let f = 0.7 - d. Which is the closest to 2\/3? (a) f (b) 1\/2 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/7 or -34\/55?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u = 5814 + 20667. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 14*p - 319. Let d(l) = 3*l. Calculate d(n(m)).\nAnswer: 42*m - 957","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**4 + 0*n**2 - n**2 + n - 3*n**3 + n**5 + 0*n**2 + n = 0. What is n?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10922578 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*j - 327*j = -2839 - 1211 for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.179? (a) -0.5 (b) 6\/11 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1687, 1, 5, -5 in ascending order.\nAnswer: -1687, -5, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - -37ac?\nAnswer: 37a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10 - (0 - 6))*-1*8. Suppose -u = -5*u + n. Suppose 0*j - 4*j = -u. Solve -a = -2*a + j for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -4*d**2. Let b(w) = 41*w - 4. Let s(m) = -2379*m + 234. Suppose k - 582 = -465. Let v(r) = k*b(r) + 2*s(r). Determine v(x(q)).\nAnswer: -156*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6\/95, 16, 0, 1\/6, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/2)\/(30\/25)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1011010101010110011 (base 2) to base 16\nAnswer: -5aab3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 173 - 80 - 87 + 2*k**2 - 2*k. Determine l(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -654 + 654. Which is the second biggest value? (a) n (b) -93 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 90 - 11 = 0. Let z = -42 - x. Calculate the remainder when z is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1133421524?\nAnswer: 2, 2383, 118907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -393 + -90c?\nAnswer: -ca0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -75332 + 1?\nAnswer: -75331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a century in decades?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + sqrt(684) + sqrt(684) + 1 + ((-2*sqrt(95) - sqrt(95))\/sqrt(5))**2.\nAnswer: 13*sqrt(19) + 172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 5*m - 48 = -2*m, -3*b - 2*m + 144 = 0. Let i be (2 - 4\/8)*b\/(-18). Sort i, -5, 1 in ascending order.\nAnswer: -5, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11198\/3959 - 105\/37. Let s = j + 649\/749. Factor 0*c + 2\/7*c**2 + 2\/7*c**5 + s*c**4 + 6\/7*c**3 + 0.\nAnswer: 2*c**2*(c + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 AM and 4:09 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -478 - 2385 = -102*r + 2543 for r.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 + 8*k - 2. Let g be 0 + 0 + 8\/4. Suppose g*h = 4 + 8. Give m(h).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 152\/3, -0.4, 6, -0.329?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**2\/7 + 34*r\/7 - 12 = 0. Calculate r.\nAnswer: 3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 3 = -1. Calculate the remainder when 3 is divided by -2 - (-1 - (0 + c)).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 PM and 1:30 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -10 * 95\nAnswer: -950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ifsf when four letters picked without replacement from iisff?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-2)\/2)\/((-16)\/1168)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6182 = l + 5*j, -2*l + 2*j = -0*j - 12400. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -0.03, 2\/5, -6 in descending order.\nAnswer: 2\/5, -0.03, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1215 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 AM and 11:03 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 194 and -45.\nAnswer: -8730","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 126 + -17 + (-169 - -129).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of 1\/24*t**4 + 0 - 2\/3*t**3 + 0*t - 4*t**2. What is the derivative of j(o) wrt o?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 4 - (3 + -1)) + 51 + -37.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0353984g in milligrams?\nAnswer: 35.3984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/11, 1\/484, -1\/3 in decreasing order.\nAnswer: 6\/11, 1\/484, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*x + 10671 = 2283. Suppose w + 1165 = 5*q, 5*q - w = 2*q + x. Does 4 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 4 - o**3 + 94*o**2 - 8*o - 187*o**2 + 99*o**2. Calculate y(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 269872 divided by -2672.\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 AM and 10:27 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ol when two letters picked without replacement from {g: 6, w: 2, o: 1, l: 3, v: 5}.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4124 is divided by 295?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.5, 148\/5, -0.4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3250986545 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 3*(-7)\/84?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**2 + 3*p**2 - 3*p**2)*(-p**2 - 5*p**2 + 5*p**2 + (6*p - 10*p - 2*p)*(2*p - 2*p - 2*p)) + 3*p**4 - 5*p**4 + 3*p**4.\nAnswer: 12*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/((-112)\/(-10))*28*7\/168.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4171 and 387.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1533*s = -1513*s - 340 for s.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/(-70) + 6 + (-192)\/30. Which is the second smallest value? (a) y (b) 0.5 (c) -8 (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11351 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -1\/3*p**3 - 5\/3*p - 4\/3*p**2 - 2\/3 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/100*-79 - (-16)\/200. Put f, 0.1, 3, 0.02 in descending order.\nAnswer: 3, 0.1, 0.02, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 728499 is divided by 124?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 7 + -11 + (-20 - (2 + -67))?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**4 + 6*q**4 - 2*q**4 + (-2*q**2 + 2*q**2 + q**2)*(0 - q**2 + 0) + 4*q**4 + 3*q**4 - 4*q**4 + 2*q**4 - 3*q**4 + 4*q**4.\nAnswer: 7*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b**2 + b + 2*b**2 + b**3. Let u(p) = 3*p**3 + 3*p**2 + 2 + 4*p - 3*p**2. Let y be 169\/(-117) - (-256)\/576. Determine y*u(w) + 4*i(w).\nAnswer: w**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*1*sqrt(70) + sqrt(70))\/(sqrt(40)\/(sqrt(8)\/sqrt(2))) - 2*(sqrt(49)\/(sqrt(7) + sqrt(28)) + sqrt(7) + -5).\nAnswer: -14*sqrt(7)\/3 + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1201.99421 + 1202. Round c to four decimal places.\nAnswer: 0.0058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-8\/3)\/(p**30*p))\/((p*(p\/((p\/p**(-2\/51)*p)\/p*p))\/p)\/(p\/p**(3\/16))) assuming p is positive.\nAnswer: p**(-25961\/816)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_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: Calculate the smallest common multiple of 980 and 595.\nAnswer: 16660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 15 = -6*b. Solve -17 + b = 5*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/((-10)\/22) + -2. Solve -k = 0, 4*k = -5*b + c*k for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggugusagguguhguagmgg. What is prob of sequence aaum?\nAnswer: 1\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 4*y = -19, -4*y + 2 = 2*q - 8 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 150.5459908 to the nearest integer.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1469?\nAnswer: 13, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 224.9 - 235. Let d = 10 + j. Let f be (1 - 2)\/(4\/8). What is the closest to d in -3\/5, 2, f?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -659 - -694. Suppose -s = -14 - 2. Suppose 2*z + s = 40. Calculate the remainder when o is divided by z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18358954?\nAnswer: 2, 9179477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 c when two letters picked without replacement from cqvmcvvfuvvmmqmqcmvq?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1512995677 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 - 20*t**2 + 84*t - 9. Calculate j(14).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hn when two letters picked without replacement from {h: 2, n: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 295?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9035 is divided by 1696?\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 763 is divided by 762?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 411967 is divided by 2395.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -52\/36382427?\nAnswer: -52\/36382427","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a milligram in micrograms?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 21581*i**2 + 12*i - 38. Is t(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/2)\/(16836\/(-1104)).\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 3*y - 66 = w, y = 4*w - 118. Suppose 11*v + w = 52. Solve -3*q = -q - v for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.2? (a) -0.2 (b) -1\/4 (c) 76 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21 + -15.8. Let r = p - 5. Let n = 107 - 537\/5. Which is the third smallest value? (a) n (b) r (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 2 = -6*g. Suppose -5*j = -3*y + 90, -69 = 4*y - 7*y - g*j. Suppose 6 = 4*l - 2*a + 16, 5*l - y = -5*a. Which is greater: -0.2 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/(-30)*(6 + -2). Let c = -159.31 + 159.14. What is the third smallest value in c, -1, v?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2276*y + 2. Let f(g) = -237403*g. Determine p(f(m)).\nAnswer: 540329228*m + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/7 + 7894*c**2\/7 + 2021447*c - 5762894260\/7.\nAnswer: (c - 340)*(c + 4117)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 57320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 8:20 AM?\nAnswer: 1:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2289 or 1018321\/445?\nAnswer: 2289","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 312340307 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/786, 0.4, -9\/10, -2916?\nAnswer: -2916","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -3\/2 (b) 7 (c) -2 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -223314 (base 6) to base 9.\nAnswer: -27841","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + ((23 - 18) + -11 + -3 - -15).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 165*o - 840. Determine b(6).\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (51\/68)\/(3\/(-36))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 4*b**2. Let z(r) = 41909848*r**2. Determine v(z(j)).\nAnswer: 7025741437532416*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by -4?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/2*(-5)\/2. Let q be (2 - (-46)\/(-18))*124\/(-105). Let y = q - 10\/27. Sort y, f, 1\/5 in descending order.\nAnswer: y, 1\/5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -58.9777 + -0.1223. Let r = -57.343 - f. What is r rounded to one decimal place?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n**2 + 3 - 3 + (-n + 2 - 2)*(n - 3 + 3) - 228*n**2 - 194*n**2 + 84*n**2 - 6*n**2 as j*n + o*n**2 + i and give o.\nAnswer: -347","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21 + -25. Let o = -1 - -2. Let g = u + o. What is the smallest value in g, 5, 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -16*l**2 + 4. Let w(q) be the first derivative of -2*q**3\/3 - 4288. Give w(o(p)).\nAnswer: -512*p**4 + 256*p**2 - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -228488*t**4 - 100603672*t**3 - 30344082*t**2 - 2288880*t = 0.\nAnswer: -440, -51\/338, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) - sqrt(68)*2*-1)*5)\/(sqrt(32)\/(sqrt(512)\/sqrt(4))).\nAnswer: 60*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -5 (b) 0.2 (c) 142 (d) -3\/4 (e) -191 (f) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3675 and 2250?\nAnswer: 110250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a decade in months?\nAnswer: 816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 - -24. Suppose -y*v = 3*q - 1 + 5, 2*q - 5*v = 14. Solve q*l = l + 5 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*h - 20. Suppose -3*l = -4*f + 15, -f + h*f + 5*l - 1 = 0. Solve f*o + o - 16 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000556247 to 6 decimal places.\nAnswer: -0.000056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 - 15 + 8)*(h**2 - 2*h**2 - 2*h**2) + 3*h**2 - 4*h**2 + 4*h**2 + (3 + 1 - 2)*(2*h**2 - 3*h + 3*h) in the form y*h + f + i*h**2 and give i.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**2 + 12*k.\nAnswer: -4*k*(k - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3\/9 + 9470*h**2\/3 + 208582*h\/3 + 3442934\/9.\nAnswer: -2*(h - 14227)*(h + 11)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1869401 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 s when three letters picked without replacement from {l: 4, q: 1, s: 2, c: 1, y: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 5*s = 4*s - 6, 0 = -2*g + 3*s + 6. Suppose 2 = 5*c - g. What is the remainder when 10 is divided by c + 3 - 2 - -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 245613271 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z**1*z)**(-45)\/((z*((z*z**(-1\/4)*z)\/z)\/z)\/z*z)**(2\/3))\/(z**(-8\/7)*z*z\/(z\/z**(-2))*z)**(-24) assuming z is positive.\nAnswer: z**(-2911\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 221455 is divided by 18004.\nAnswer: 5407","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6273 minus -0.2?\nAnswer: -0.4273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3405668 (base 9) in base 2?\nAnswer: -110111111111011011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(931) + (5*(5 + sqrt(931)))**2 + sqrt(931) + 3.\nAnswer: 1764*sqrt(19) + 23903","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 300232 (base 4) in base 12?\nAnswer: 197a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 288423 to the power of 1\/2, to the nearest integer?\nAnswer: 537","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -30*q - 1. Let r = 8 - -7. What is the remainder when p(-2) is divided by r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**3\/19 - 702*n**2 + 1079130*n - 20490134\/19 = 0. What is n?\nAnswer: 1, 2401, 4267","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.02 - -0.02. What is the nearest to s in 5, 2\/9, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of 2\/21*t**4 + 0*t**2 + 3\/5*t**6 - 2*t + 0 + 33\/35*t**5 - 8\/21*t**3. Find u such that j(u) = 0.\nAnswer: -2\/3, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 5*s**2 + s - 4. Let a(m) = -11*m**2 - 2*m + 9. Let d(w) = 6*a(w) + 13*l(w). Factor d(r).\nAnswer: -(r - 2)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 5*n**2. Let c(s) = 145 + 3*s**2 - 145. Calculate c(u(a)).\nAnswer: 75*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2980\/(-298) - (-858)\/84?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16736798 to the power of 1\/4, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(171) - sqrt(171)*-1))\/(3*(sqrt(9) - 2*sqrt(9)) + sqrt(9)).\nAnswer: 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 403 = 4*n + 5*w, 2*w = 5*w - 9. Let d = n - -12. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (114120\/3804)\/(2\/(-8)).\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/7, 1, -453\/7, 0.3, -5 in decreasing order.\nAnswer: 1, 0.3, -4\/7, -5, -453\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(6\/13)*s*s**(-8))\/(((s*s**3)\/s)\/s)**26)**(-15\/2) assuming s is positive.\nAnswer: s**(11415\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + sqrt(304) + 0 + 3 + -2*sqrt(19) + sqrt(19) + ((sqrt(19) - sqrt(95)\/(sqrt(10)\/sqrt(2)))**2 - sqrt(57)\/(sqrt(12)\/sqrt(4) + sqrt(3))).\nAnswer: 3 + 7*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -2*f - 3*o, -2*f + f - o = 7. Let h be f\/(-10) + 496\/10. Calculate the greatest common factor of 20 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 + n - 7. Let z(h) = 2*h**2 - 6*h + 34. Let p(s) = 5*t(s) + z(s). Let v(r) = 13*r**2 + 4*r + 3. Determine -9*p(a) - 2*v(a).\nAnswer: a**2 + a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + 113*v**2 + 457*v + 1452. Give k(117).\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2325 divided by -775?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/63 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddodooduuddddoood. Give prob of picking 2 u.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h**5\/9 - 380*h**4\/9 + 176*h**3 - 64*h**2\/9 - 6272*h\/9 + 704 = 0 for h.\nAnswer: -99, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a millennium in years?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110 + -100000100001?\nAnswer: -100000101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1131588985 less than -1.87?\nAnswer: -1131588986.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 128\/(-22) - (-12)\/(-66). What is the tens digit of (-100)\/w - 4\/(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 0)\/(1 + 3\/(-1))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 u when three letters picked without replacement from {m: 2, u: 6}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 2*m = 377, -4*i = -2*m - m + 497. Calculate the remainder when 110 is divided by (5\/(i\/70))\/(2\/(-10)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 16 = -4*v, 3*u = -3*v - 2*u - 11. Suppose 0 = -3*c - 0*c - 3*k - 24, -v*c + 2*k - 24 = 0. Put c, 7, -1 in decreasing order.\nAnswer: 7, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = 5*o - 157. Suppose -120 = -3*w - 4*x, -4*w + x = 2*x - 160. Let i be w\/22 - (-4)\/o. Solve q = -2 - i for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 77\/2 of a microgram?\nAnswer: 38500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.9? (a) 1 (b) -0.8 (c) 2\/53 (d) 156\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4956\/(-26019))\/(24\/7)*7\/(14\/(-4)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120 is divided by 45.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 363.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148 is divided by 132*(13 - 12) - 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 22*r + 7. Calculate the remainder when 193 is divided by w(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 - (-2 + 2) - (-57 + 65)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -51745*k**5 + 8*k**3 - 25088*k**2 + 2*k wrt k?\nAnswer: -3104700*k**2 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2059*i - 14420. Calculate a(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*m - 3*m + m - 3*m to the form h*m + p and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 PM and 7:24 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 141 and 48400929.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 275614 times 7?\nAnswer: 1929298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 7, d: 1, b: 4, c: 2, a: 3, x: 1}. What is prob of sequence ccxd?\nAnswer: 1\/36720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 38*m**2*w + 1861*m*w**2 - 9820*w**2 + 4*w wrt m.\nAnswer: 76*m*w + 1861*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18374?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 9. Suppose 5*r = 2*c - 17, -g*r - 11 = -c - 0*c. Sort c, 3, -2\/11 in descending order.\nAnswer: 3, -2\/11, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 65447, 65713, 66141, 66725, 67459, 68337, 69353, 70501?\n\"Answer: -a**3 + 87*a**2 + 12*a + 65349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -23*y**3 + y**2 - y + 1. Let q(a) = -a**3 - 26*a**2 - 26*a - 27. Let w be q(-25). List the prime factors of z(w).\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25 (base 14) to base 8.\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -156.1 to the nearest ten.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 15902 and 18079 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1689 + 1824. Calculate the remainder when 241 is divided by l.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 100 and 24030.\nAnswer: 240300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*f - 72 = -130*f for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 319, 636, 953, 1270, 1587?\n\"Answer: 317*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -4.3. Let i = -0.1 - s. Let v be (-9)\/(-45) - (-11)\/(-5). Which is the closest to 1? (a) -0.5 (b) i (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-42 + 11 - 49)*(-4 + 1 + 5)*(59 - 132 + 73 - 636*l**2).\nAnswer: 101760*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -76 + 667. Suppose -4*m + 985 = -5*q, -4*m - o = 3*q - 7*m. Let y = q + 377. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 2*r - 14, z + 1917 = -5*r + 1916. Let x be 1*5 + 0\/(-3). Solve -6*g + 3*j = -4*g - 11, z*g + x*j + 11 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 3*p**2 - 25*p + 61. Let f be n(4). Solve t = -10 + f for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 150479728745951 and 5.\nAnswer: 150479728745956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -73 - (2 - 3\/1). What is the common denominator of 3\/(s\/25) - 2 and (-47)\/42 - 2\/(-7)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 + 3*b**2 + 46*b + 88. Let i be v(-2). Solve 3*n - 11 - 1 = i for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 5.3. Let a(f) = 5*f**3 + 4*f**2 - 12*f - 27. Let c be a(-6). Let j = 2672\/3 + c. Sort 2, j, -1, k in descending order.\nAnswer: 2, k, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 - 46*y**2 - 63*y + 262. Let v(h) = 6*h**3 + 231*h**2 + 315*h - 1308. Let x(a) = 21*j(a) + 4*v(a). Factor x(c).\nAnswer: 3*(c - 15)*(c - 2)*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26 by -23.\nAnswer: -26\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5*((-10)\/6 + 2). Suppose -2*k = 2 + 2. Let f = k + y. Sort 5, -0.4, f in decreasing order.\nAnswer: 5, f, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5251682.\nAnswer: 2, 23, 114167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (62\/(-4) + -1)*(-27448)\/141?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/(-50)*15\/54\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006279718454 to 6 decimal places.\nAnswer: 0.00628","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 514465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16814458 or 16814407?\nAnswer: 16814407","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**3 - 124896*j**2\/5 + 31563810*j + 63147604\/5 = 0 for j.\nAnswer: -2\/5, 1427, 11063","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p**2 - 12 + 3 + 4 + 18*p - 19. Let q be z(-11). Solve 2*r + 2*r - q = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 320 + -313. Which is the fourth smallest value? (a) -2\/9 (b) p (c) -3 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 1593*i - 1591*i - 55 + 55. Let u(s) = -s - 5. Let z(h) = -h - 4. Let j(c) = -4*u(c) + 5*z(c). Determine o(j(q)).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -44\/158175 and -59\/303696.\nAnswer: 7592400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 2:47 PM?\nAnswer: 9:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 19 = -27 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 44*d*i**5 - d*i + 11*d*x**2 - 14*d + 10*i**3*x**2 + i*x wrt i?\nAnswer: 880*d*i**3 + 60*i*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 28 = 12. Let j be ((-24)\/d + 3)*35. Differentiate -14*w**3 + j + 4*w**3 - 9 wrt w.\nAnswer: -30*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 PM and 12:25 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -599856 and -599856 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*o + 132 = -156 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 1623607256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1794, -1031, -280, 459?\n\"Answer: -6*x**2 + 781*x - 2569","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3060910.9 minus 1615.3015?\nAnswer: -3062526.2015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 - 7*c**2 - 5*c + 4. Suppose -4*x + 24 - 4 = 0, 38 = -4*g + 2*x. Let l(k) = -6*k - 47. Let n be l(g). Determine d(n).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v**4 - v**4 - 3*v**4 - 566*v**4 + 11666*v - 11666*v - 3*v**4 + 2*v**2 - 2*v**2 + (4*v**4 - 4*v**4 + v**4)*(0 - 5 + 3) + 0*v**4 + 0*v**4 - v**4.\nAnswer: -574*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 36384 divided by -41\nAnswer: -36384\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 189906 to the nearest integer?\nAnswer: 436","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1324349169.\nAnswer: 3, 11, 13, 3087061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 323 and 1501.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-3\/13))\/n*n)**18 assuming n is positive.\nAnswer: n**(180\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000736 rounded to six dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j*j**(-2\/9)*j*j))\/j)\/j**(-15))\/(((j\/j**(-10)*j)\/j*j)\/(j**17*j)) assuming j is positive.\nAnswer: j**(164\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59208 - 11*v**2 - 59208.\nAnswer: -11*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**4 - 2*k**3 - 80*k**2 - 232*k - 192 = 0.\nAnswer: -3, -2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 (base 8) in base 7?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(2\/7)*x)\/x*x)\/x**(2\/7))**(-1\/28) assuming x is positive.\nAnswer: x**(-1\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*z = -10*z - 729. What is the highest common divisor of 27 and z?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*m - 286*k + 275*k - 51, -3*m + 3*k - 18 = 0 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of o**7\/5880 + o**6\/560 + o**5\/140 + 23*o**4\/12 + 30*o. Let d(b) be the third derivative of c(b). Suppose d(n) = 0. What is n?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4659, -19890, -45269, -80790, -126447, -182234, -248145, -324174?\nAnswer: -410315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/2807694 and 145\/17782062?\nAnswer: 53346186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2439.08 rounded to the nearest ten?\nAnswer: 2440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1, -39, 4, 3\/4, 2, -2\/413, 2\/7?\nAnswer: -2\/413","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/19200 and -47\/18080.\nAnswer: 2169600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-45)*-5 + 38\/72. Let s(p) be the first derivative of 3\/2*p**2 - p**3 + 3*p - 1 - m*p**4. Factor s(x).\nAnswer: -3*(x - 1)*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(48)\/sqrt(2)*6 + sqrt(24))\/(6*sqrt(32)))\/((sqrt(864)*-2)\/(sqrt(144)*-5)).\nAnswer: 35*sqrt(2)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = -r + 78*k - 74*k - 148, -r - 163 = -4*k for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/120*(-6)\/(-16)*(-32)\/(-16).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 101153*k*v**3 - 18167*k*v**2 - k*v wrt v?\nAnswer: 606918*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*i + 5*i**2 - 16*i - 8*i.\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 20634, 41120, 61606?\n\"Answer: 20486*i + 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5920813 rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.02 - 0.12. Suppose -3 = 3*r - 39. Let v be 3\/(-18) + (-58)\/r. Which is the third smallest value? (a) -2 (b) v (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.097 - -0.087. Let v = x - 0.1. What is the second smallest value in -5, -2, v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l - 2 = -8*l. Which is the smallest value? (a) 2 (b) 4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**2 - 379025385*x - 379025380.\nAnswer: -5*(x + 1)*(x + 75805076)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/48 and -49\/48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1836)*-2 + sqrt(1836))\/(sqrt(27)\/sqrt(81)))**2.\nAnswer: 5508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26 + -62. Let x = -84.6414 + -3.3736. Let w = m - x. Round w to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, o: 3, i: 3}. Give prob of sequence ozoo.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 98*k - 6. Let t(i) = i**3 + 2*i**2 - i + 9. Let p be t(0). Let d be l(p). Let u = d - 479. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34 - -135. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331) + 1 + -2)**2 + (-4 + (sqrt(176))**2 - (-1*sqrt(11) + 0)).\nAnswer: -21*sqrt(11) + 1504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 + 4*o - 66. Suppose -156 = 7*g - 51. What is the units digit of c(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*n - 13. Put n, -2, -3, 7 in increasing order.\nAnswer: -3, -2, n, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 357*l**4 - 998*l**4 + 443*l**4 + 63*l**2 + 318*l**4 + 40*l + 12*l**2 - 970*l**3 = 0.\nAnswer: -1\/6, 0, 1\/4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8102645*b**2 - 8109010*b - 2028845 = 0.\nAnswer: -637\/1273","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 122531 and 76?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5609 + 5614. Let w(r) = -r**3 + 4*r**2 + 2*r + 18. Calculate w(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4462 + 3039 - 5*r**2 + 3*r**2 - 2259 + 3*r.\nAnswer: -2*r**2 + 3*r + 5242","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 4*a + 1. Let r be v(1). Suppose r*z + 5*q = -25, -19 = 5*z + 2*q - 3. Let u(p) = -p**3 - p**2 + 2*p. Let t be u(z). Solve -5*d + 10 = -t*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*1\/(-3)*7?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 32.697*6\nAnswer: 196.182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*g + 5*g + 10, 3*g - 17 = -v. Solve -4*x - 8 = 0, -2*u + v*x + 0*x + 4 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0008789959461 rounded to seven decimal places?\nAnswer: -0.000879","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18195 and 19.\nAnswer: 345705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 - 9)*1 - (-475636)\/79275. Which is greater: -1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*d - 13*d + 4*d)*(-2 + 4 - 9 - 1 + 2 + 0 + (5 - 3 + 0)*(-4 + 3 + 3) - 1 + 2 + 0) as q + t*d and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of 2*n**2 - 1\/3*n**3 + 0*n**4 - 1\/30*n**5 + 0 + 0*n. Differentiate j(p) wrt p.\nAnswer: -4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-6*40\/(-27))\/(102\/459) is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - 1) + (20 - 3) + -14\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22160 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 461733, 461732, 461731, 461730, 461729?\nAnswer: 461728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000006233 to seven dps.\nAnswer: -0.0000062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 0.5, -1\/5, 35077, 2 in decreasing order.\nAnswer: 35077, 2, 0.5, -1\/5, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -662*r - 4. Let b be h(-4). Let i = b + -16001\/6. Let w = 498201\/4 - 124528. Find the common denominator of i and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 4*c - 2. Let r be u(3). Let w be (15\/(-25))\/((-1)\/r). Differentiate 10 + w*j**4 - 8 + 7 with respect to j.\nAnswer: 24*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 - 8. Let h be (14\/(-7))\/(a\/2). Let b be h\/5 + (-1999999)\/5. What is b rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - -1. Let f(y) be the third derivative of -y**4\/12 + 2*y**3\/3 - 410*y**2 + 8*y + 1. What is f(v)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(255)\/sqrt(5))\/(sqrt(33)\/sqrt(99)) - 5*(((-2 + sqrt(833))**2 - sqrt(17)) + 2).\nAnswer: -4195 + 154*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 + 25*v - 118. Let d be q(8). What is the second derivative of d*j**2 + 15*j**2 - 123*j**2 - 132*j wrt j?\nAnswer: -180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15954 * 1.\nAnswer: -15954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4854103324.\nAnswer: 2, 7, 41, 4228313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -159724707 rounded to the nearest 100000?\nAnswer: -159700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -3*y**5 + 24*y**4 - 72*y**3 + 96*y**2 - 48*y = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.5, 8\/15 in increasing order.\nAnswer: -0.5, 0, 8\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 883 divided by 82026?\nAnswer: 883\/82026","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27198 is divided by 27173?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y**3 + y**3 - 10*y**3 + 2*y**3.\nAnswer: -8*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -4*g - 40. Suppose -2*a + 62 = 8*z, 36 - 62 = 3*a - 5*z. Let r(x) = 5*x + 41. Give a*h(j) + 2*r(j).\nAnswer: -2*j - 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 4*t - 4 = 0. Let l = 0 + t. Let d be 29\/(-10) - 4\/(-10). Is d less than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 + 4*s - 1. Let k(q) = -10*q + 70. Let p(i) = -69*i + 486. Let z(v) = -27*k(v) + 4*p(v). Let r be z(10). Calculate j(r).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1517512?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 60 + -1227.2348\nAnswer: -1167.2348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-12)\/14)\/((-7)\/49). Let x = 9 - l. Let s be 19 + -2 + 9\/x. Solve 4*t = -t - s for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 4*v - v - 12 = 0, -3*g + v + 12 = 0. Let f(s) = 4*s + 3*s**2 - 3 + 2 - g*s**2. Let p(w) = w - 1. Let y be p(5). Give f(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((y**1*y)\/y)\/y)\/(y*y\/(y\/((y*y**0)\/y))))\/(((y\/y**(-3))\/y)\/y*y*y**11))**(-21))**(-37) assuming y is positive.\nAnswer: y**(-11655)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35782 and 687.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - g + 550 = -736, 0 = 5*k + 2*g - 1282. Find the third derivative of -258 + k - 7*v**2 + 15*v**6 wrt v.\nAnswer: 1800*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9684 and 111114.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -91\/47?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -228.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + -64 + -39 + 25?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**3 + j**4 + j**3 + (-1 - j + 1)*(2*j**3 - j**3 + 0*j**3) - j**4 + 3*j**4 + 0*j**4)*(-1 + 1 + 1).\nAnswer: 2*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*z**4 + z**4 - 5*z**4 + (z**2 - z**2 - 2*z**2)*(28*z**2 + 15*z**2 - 5*z**2) + z**2 - z**2 + 2*z**4.\nAnswer: -72*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 8099?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 32403 - 32403. Which is the fifth smallest value? (a) -5 (b) j (c) 0.06 (d) -3\/5 (e) -0.061\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 0)*(11 + q**2 + q**2 - 17).\nAnswer: -2*q**2 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a minute in seconds?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -216 = 4*l - 5*y, 5*l - 5*y + 270 = -0*l. Let n = 56 + l. Solve 2*h - 13 = -4*s - 3, 5*s + n*h - 14 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 16*r + 46. Let u be p(15). Let t = 307 - u. Calculate the greatest common factor of t and 336.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/56 and -63\/14477704.\nAnswer: 101343928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*a**2 - 1)*(2*a**2 - 3 + 3) - 4*a - a**4 + 4*a - 5*a**4 + a**4 + 3*a**4 - 34*a**4 + 47*a - 47*a - 2*a**4 - 3*a + 3*a.\nAnswer: -34*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -272*p + 15 - 15 + 22*p to the form v*p + l and give v.\nAnswer: -250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/((-351)\/(-923)) - 24.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-35)\/(-10))\/((-8)\/16)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 f when three letters picked without replacement from ffiiifiiiffi.\nAnswer: 21\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 90 and 24?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.97 - 0.722. Let s = l - 0.1998. What is s rounded to 3 dps?\nAnswer: 0.048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -17 (b) 6\/19 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f + 2. Suppose 17*a - 9 + 26 = 0. Let o(c) be the third derivative of c**4\/24 - c**3\/6 - 2*c**2. Give a*o(j) + z(j).\nAnswer: j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -408*v**2 + v. Let c(h) = -h. What is c(q(a))?\nAnswer: 408*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1491505?\nAnswer: 5, 199, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 49697 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wvw when three letters picked without replacement from wwvvllll.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of b**3\/3 + 2*b**2 - 8*b + 2640. Suppose -4*h - 11 = 1, 5*s + 21 = 3*h. Give f(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 + 5 + -6 - (-64)\/2. What is the highest common factor of 351 and f?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 2*k + 10, 2*k = -4*x + x + 22. Suppose 10 = n + 4*n. Suppose -n*j = -v - 1, -v - 3*j + 2*j = -5. What is the remainder when x is divided by v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 + (-29 - -31 - -36)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 3*p + 10 = 1, -1 = 3*o + 4*p for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -204 + 206. Let t(n) = 0*n**2 + 2*n**v - n**2 + 0*n**2 + n**2. Let y(d) = 14*d - 1. Give y(t(j)).\nAnswer: 28*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + f = 12, -u + 4*f = -5*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/2 + -1 + 2. Solve 3*p - 2*p - 5*c = -10, r*c = -p - 2 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-102)\/(-34)*1\/279)\/((6\/2)\/(-3))\nAnswer: -1\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 32 + 704 = 0. What is the greatest common divisor of m and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12019?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1680579349.\nAnswer: 331, 5077279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one quarter of a minute?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1032437992?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 6, 38 in descending order.\nAnswer: 38, 6, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2921610 divided by -973870?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h - 17. Let d(t) = -2*t - 34. Let r(l) = 6*d(l) - 13*z(l). Let k be r(22). Let u = -36 + k. Solve 6*b - u*b + 15 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 732590.5 millennia to months.\nAnswer: 8791086000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -13*n - 56. Suppose -m = -5*a + 87, -3*m = -2*a - 7*m + 26. Calculate the remainder when f(-12) is divided by a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -167\/143990 and 37\/70.\nAnswer: 143990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 6:47 PM?\nAnswer: 7:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16 (base 7) to base 5.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27294 - 26930. Calculate the smallest common multiple of h and 42.\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 10:47 PM?\nAnswer: 6:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add 5 and -8.87425.\nAnswer: -3.87425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*k + 2*w, -3*k - 3 = -w - 3*w. Let s = 10 - k. Calculate the remainder when 18 is divided by s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 402*v - 412*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 247 (b) 16590 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 55134.56 centuries in millennia?\nAnswer: 5513.456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 158943283.56645 + -0.07.\nAnswer: 158943283.49645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 100, 717, 2214, 4975, 9384, 15825, 24682, 36339?\nAnswer: 51180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 + 2*s - 1. Let r be l(-3). Suppose o - r*o = -95. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + o)*((2 + 2 - 8)*(-3 + 3 + 3*o) - 3*o + 3*o + 4*o - 3*o + 6*o + 0*o) in the form l*o**2 + z*o + x and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.59, -4\/3, -2, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -38\/603 - 628853\/1206. Let z be (-2150)\/(-4) + 2\/(-4). Let y = z + m. Find the common denominator of y and 149\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-35)*t)**(5\/4)*t**(-3\/11)*t**(6\/19) assuming t is positive.\nAnswer: t**(-34449\/836)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 264 and 1254?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 i when three letters picked without replacement from mwowmxooooiommxxm?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*u**2 + 136*u - 753*u + 3*u**2.\nAnswer: -2*u**2 - 617*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 17887 (base 11) in base 5?\nAnswer: 1300041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -130, -125, -112, -91?\n\"Answer: 4*g**2 - 7*g - 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1120 + 12022021221?\nAnswer: 12022020101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, -72034, -4 in increasing order.\nAnswer: -72034, -19, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -2*b + 45. Suppose 4*k + 115 = 9*k. Suppose -28 - 18 = -k*r. What is the least common multiple of b and r?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-4) - 3\/(-14). Let i = -6.18 + 6.8. Let r = -0.28 - i. Which is smaller: m or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*z - 30*z = 10. What is the remainder when (-1)\/(4\/136*-2) is divided by z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 - 6*c - 2. Let s = -10 + 32. Let h be (-1)\/(-4) + s\/8. Let o be h*(60\/(-9))\/4. Give l(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tvpthtuhtmpuhvm. Give prob of picking 1 h, 1 v, and 2 t.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3288 and -325432.\nAnswer: -328720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -745 - -747. Factor -4\/9*o**t - 14\/9*o**3 + 4\/9 + 14\/9*o.\nAnswer: -2*(o - 1)*(o + 1)*(7*o + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35717?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 575 and 345.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1\/3 + 265650\/414 and 9?\nAnswer: 1926","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129962944.\nAnswer: 2, 37, 71, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/((-1)\/(-96))*(-8)\/6. Let v = o - 128. Let n be ((-6)\/(-3))\/(2\/(-3)). What is the nearest to -2\/11 in v, n, 2\/7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22468*n**2 - 22460*n**2 + 44931*n**2.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -12*j**3 - 5*j**2 + 2*j - 1. Determine s(2).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-10)*3\/(-6). Let u = 380 + -374. Is u greater than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1809 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 7) to base 8\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3229, 0.1, -9\/55, -0.01, -3.\nAnswer: -3, -9\/55, -0.01, 0.1, 3229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together 513.2651 and 16.\nAnswer: 529.2651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - 754?\nAnswer: -756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 19*j**3 + 13*j**2 - 61*j + 13. Let g(i) = 11*i**3 + 7*i**2 - 31*i + 7. Let z(n) = -4*c(n) + 7*g(n). What is the units digit of z(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -11. Suppose -z + 0*z = 5*y + a, z - 5 = 0. Let c be 6\/((-27)\/(-6) + y). Solve 5*g - c = g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 29 = -3*n, -5*n - f - 164340 = -164330 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 2:59 PM?\nAnswer: 12:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zuuccuuuzuzcujccuu. Give prob of sequence uzu.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxyyyglxytxxgyxgl. What is prob of picking 1 t, 1 y, 1 l, and 1 g?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - ((-210)\/19 - 6 - (0 - 9)).\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/492 and -85\/246?\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 402054852?\nAnswer: 2, 3, 33504571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4\/171 - 521\/342. Which is the closest to -0.2? (a) -0.2 (b) 0.3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -4*k - 4. Let h(w) = 5*w + 9 + 6*w - 2*w - w**2. Calculate -4*h(p) - 9*z(p).\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129*j + 36 = 131*j. What is the remainder when (-34)\/(-1 - 0\/(-2)) is divided by j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 - 38*o + 207. Let k be a(23). Suppose -5*h = -3*j - 722, -410 = -3*h - 5*j + j. Let t = h + k. Solve 0 = -q - 2 + t for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 11138 = -30*h + 34*h, 2*h = 14. Which is smaller: -11165 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/4*((-3)\/(-7))\/((-2505)\/30394).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2442, 9567, 21448, 38091, 59502, 85687, 116652?\n\"Answer: u**3 + 2372*u**2 + 2*u + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18164?\nAnswer: 2, 19, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of -54 - -27 - -17 - -38 and 2744.\nAnswer: 2744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1647 and -29.52254.\nAnswer: 1617.47746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(13\/((-91)\/14)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -150 - -256. What is the tens digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 13*j - 88. Let c be g(7). Solve -4*k + 14 = -5*l + 11, 2*k - l + c = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-40*d + 5*d - 9*d)*(0 - 15 + 1)*(0*d**3 - d**3 - d**3) as s*d + h*d**4 + g*d**3 + b + t*d**2 and give h.\nAnswer: -1232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (333\/63048)\/((-3)\/(-16)).\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -3 - 12. Suppose -v*t + 14 = t + 3*h, h = 5*t - 27. Suppose 5*w + t - 25 = 0. What is the smallest common multiple of 8 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 + -11. Suppose p*y = 3*g - 16, -2*y + 5*g + 2 = -3. Let v(n) = -4*n + 8 - 4 - n**2 - 2. Give v(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**2 + 7742*j + 46416 = 0. Calculate j.\nAnswer: -7736, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = f, -o + 2*o - 4*f = -13. Suppose o = 2*i - 5. Solve -w - 7 = -2*m, 4*w + 20 = 8*w + i*m for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 + 18 + 6 + 1397*u - 34 to the form j*u + q and give j.\nAnswer: 1397","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (21*x + 7848 - 7777 + 6*x**2 - 5*x**2)*(2*x - 5 + 5) in the form o*x**2 + b*x + s + m*x**3 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o = 4*t + 8*o - 51, -3*t + o = -47. Suppose -6*x - t*x = -440. Calculate the greatest common factor of x and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1795 is divided by 557?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -6*p**2 + 15*p - 15. Let u be 24\/6*4\/8. Let n(r) = -6*r**2 - 1 + 3 - r**u + 16*r - 18. Let l(j) = -5*n(j) + 6*s(j). Give l(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -56373 or -56669?\nAnswer: -56373","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -3*i + 2. Let p = -11 + 23. Let w be (-30)\/p*8\/(-10). Calculate s(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -10 + 0 - (30 - (85 + -71))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 236 = 5*t + 181, -4*n - 51 = 3*t for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10336, 10386, 10470, 10588, 10740?\nAnswer: 10926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 569396 to the power of 1\/2, to the nearest integer?\nAnswer: 755","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t - 2*t - 3*t)*(0*t + t + 0*t)*(10930 - 793*t**2 - 10930)*(-t - 3 - 4*t + 3*t).\nAnswer: -3172*t**5 - 4758*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -19*q. Let y = 9350 + -9356. Let p(c) = -39*c. Give y*p(u) + 13*l(u).\nAnswer: -13*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.62 times 821?\nAnswer: -509.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 9*s - 573. Is f(67) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -324 - -324. Let l be 0 + k - 36\/(-19). Which is greater: 3 or l?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*b**3*p**2 + 5*b**3*p*z + b**3*z**3 - 53*b**2*p*z + 19*p**2*z**3 wrt p?\nAnswer: -18*b**3 + 38*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 974772957.\nAnswer: 3, 324924319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**3)**(-22))**(2\/31)\/(v*v\/(v*v*v\/v**(2\/5))*v*v\/v**(-1\/3))**(2\/3) assuming v is positive.\nAnswer: v**(-7552\/1395)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 526*f - 2*f**3 - 526*f.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.47 + 0.97. Let a = 2 + -3. What is the nearest to a in o, 2\/5, 0.2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 84795\/(-36)*2\/(-1830). Let u = p + 5\/549. Let r = -10567\/20 + 528. Calculate the common denominator of u and r.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of -113*x**6\/30 - x**5\/20 - 1373*x**3\/6 - 78*x. What is the second derivative of d(r) wrt r?\nAnswer: -1356*r**2 - 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 9660*h**3 + 12*h**2 + 15*h + 6157. Let a(u) = -3864*u**3 - 5*u**2 - 6*u - 2460. Let s(q) = 12*a(q) + 5*i(q). Find the first derivative of s(b) wrt b.\nAnswer: 5796*b**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/5, -3, -6816473?\nAnswer: -6816473","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -40*z**2 - 52*z**2 + 36*z**2 + (-z + 0*z + 0*z)*(0*z - z + 4*z).\nAnswer: -59*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13795534 to the nearest integer?\nAnswer: 3714","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(252) + (sqrt(252) + -1)*1 + sqrt(252) + sqrt(252)*-1 + 5 - ((-2 + sqrt(252) + sqrt(252) + sqrt(252) - sqrt(252))*6 + -3 + sqrt(252)*2)))**2.\nAnswer: -24624*sqrt(7) + 329841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 - 14. Is (z - -3)\/(9\/135) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.17 - -0.17. Which is the third biggest value? (a) n (b) 2 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -390 + 625. List the prime factors of x.\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -26*r - 5. Let x(c) = -129*c - 29. Give 11*a(k) - 2*x(k).\nAnswer: -28*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((-3 + sqrt(153) + sqrt(153) + sqrt(153) + -1 + sqrt(153))*6)**2)*6.\nAnswer: -20736*sqrt(17) + 532242","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 3*x = -10. Is x a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 + 48*l - 522. Let p be u(17). Suppose 5*c + 11745 = 39020. Suppose -25 = -p*q, 0 = -5*z + 8*q - 12*q + c. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 7 + 7 = -o - 2*o + 3*c, 4*c = -2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -5*g**2 - 23*g + 6. Let j(z) = 11*z**2 + 47*z - 14. Let i(k) = -14*h(k) - 6*j(k). Let i(w) = 0. What is w?\nAnswer: -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.105, 21.23, 4, -0.1 in increasing order.\nAnswer: -0.105, -0.1, 4, 21.23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 0.303?\nAnswer: -0.0303","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85)*3*-5)\/(sqrt(5) + 4*sqrt(45)) - -6*(1*sqrt(68)*6)\/(1*2*sqrt(4)).\nAnswer: 219*sqrt(17)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 204 divided by 51.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -115, -439, -975, -1723?\n\"Answer: -106*t**2 - 6*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((27\/(-42))\/(6\/(-8)))\/(8\/168)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*k + 272 - 260 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -19*m**2 + 6256*m - 122981. Give i(21).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from bcccbpbpbpc?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 274.38, 3\/5, 0.49 in decreasing order.\nAnswer: 274.38, 3\/5, 0.49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 205 + -213. Let d = -12 - o. Sort 76, 1, d in descending order.\nAnswer: 76, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3189430874?\nAnswer: 2, 7, 83, 392111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1235 - 2509 = 9*x. Let o = x - -653. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 PM and 10:12 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 274.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 208\/(-2392) + (-17)\/69?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.1, -2\/5, 2, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (14\/35)\/(2\/(-30)). Let b be 213\/18 - 1\/p. Let a = -3 + b. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8719 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**2\/9 - 397643572*u\/9 - 19765051294114898\/9 = 0 for u.\nAnswer: -99410893","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/((-3)\/(-3 + 4)). Let l = 434 + -435.99. Let c = l - 0.01. What is the nearest to q in -1\/4, c, 5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1994086.54 to the nearest ten thousand.\nAnswer: 1990000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -947\/18? (a) -2\/77 (b) 0.1 (c) -5 (d) -0.2 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 13*r + 869. Let a(n) = 25*n + 1579. Calculate 6*a(k) - 11*q(k).\nAnswer: 7*k - 85","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 + 10*m**2 - 2*m + 9. Give a(-10).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 10 + 3*p + 54 - 6 + 0*p. Let f be l(-20). Which is the nearest to f? (a) 3 (b) 0.2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of v**4\/24 - 7*v**3\/6 - 2*v**2. What is the first derivative of s(w) wrt w?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-4 - -4) - 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 980 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, j: 1, o: 7, d: 2}. What is prob of picking 1 o and 1 d?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - w - 251 = 0. Suppose -2*s + 5*j + w = 0, -5*s - 4*j = -418 - 127. Does 28 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -297*s + 54876. Give v(186).\nAnswer: -366","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.09 and -2483.7054.\nAnswer: 223.533486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -7, -6, -5?\n\"Answer: r - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9243?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of 4*d**3\/3 + d**2 - 2*d + 2. Let z be i(2). Suppose 2*j - z = 44. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.076738734 to 3 decimal places.\nAnswer: 4.077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -182*s**2 - 207*s - 410. Calculate p(-2).\nAnswer: -724","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = 98*t - 95*t. Solve 5*w + t = 2 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-8)\/5)\/(-4)*-5. Let s = 0 + 3. Let a be (-2)\/3 - q\/s. Solve -4 = -i - a for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 - l**2 - l + 12. Let r be k(0). Let c be (2\/5)\/(((-4)\/(-1))\/60). Calculate the highest common factor of c and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-8)*(-3)\/(27\/1)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.7794 + 0.7994. Which is the fourth smallest value? (a) p (b) -2 (c) -4\/7 (d) 14 (e) 4\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 696 - 699. Let u(p) = p**3 + 2*p**2 - 24*p - 58. Let k be u(c). Suppose -4*j + 30 = -2. Sort 0, k, j in decreasing order.\nAnswer: j, k, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4215354583 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 + p + 1. Let t(r) = 89*r**3 + 245*r - 5. Let u(c) = 3*h(c) + t(c). Find the second derivative of u(l) wrt l.\nAnswer: 516*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1 (b) 1\/4 (c) 4 (d) -25 (e) -1.565\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + 0 - 0) + 2 + -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*q**2 + 23*q**2 - 8*q**2 - 4*q**2 + 4.\nAnswer: -3*q**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 83, -39\/2?\nAnswer: -39\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -43 + 43. Does 8 divide q - (0 - (-400)\/(-5))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 + 4. Let z be (v\/2)\/((-1)\/(-14)). Suppose z = b + 28. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 215128 and 215142 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 210078475 and 3260.\nAnswer: 815","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - (-3 - (9 - 14))) + (-1 - -1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/25 + (-64)\/(-10). Let o(k) = 4*k**2 - 10*k + 3. Let f(q) = -11*q**2 + 29*q - 8. Let t(h) = 3*f(h) + 8*o(h). What is the units digit of t(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = 4*p + 8, -q + 979476 = -5*p + 979487 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-18 + 10 - -1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 + u + 1. Let x(q) = -144*q**2 - 4*q - 5. Let w(b) = -4*a(b) - x(b). Does 24 divide w(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ninixzzxszxh. What is prob of picking 1 n, 1 i, and 1 h?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i**3 - 54*i**2 + 58*i + 58. Let y be w(-28). Let u be 0 + 1 - (-2 - -3). What is the first derivative of -7 - 2*o - y*o + u*o - o wrt o?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -224560 = -771*i - 2437*i for i.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -0.1, -1.09, 874, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of 3*y**4\/4 - 4*y**3\/3 - 6*y + 116. Let s(q) = -4*q**3 + 4*q**2 + 7. Determine 6*s(o) + 7*w(o).\nAnswer: -3*o**3 - 4*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -307, -313, -319?\nAnswer: -325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9583)\/(-111)*144\/84*3\/12?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 263 = 4*k - 2*f, -12 = 4*f. Let i(w) = -8*w + 33. Let h be i(3). What is the greatest common divisor of k and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4678?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 8b (base 14) to base 10\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 38809873 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 82 = 4*u - 226, -157 = 2*i + u. Let n = i + 75. Which is the biggest value? (a) n (b) -1\/6 (c) -37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from kkkkk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -133500673506064+-2\nAnswer: -133500673506066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 22*i + 256. Let v(s) = 132*s + 1606. Let l(t) = -13*g(t) + 2*v(t). Calculate l(-6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minus 56008?\nAnswer: -55554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 89024227 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**2*d)\/d**7*(d\/(d*(d\/((d\/((d**(2\/13)\/d)\/d))\/d))\/d))\/((d*d\/(d*(d*d**(-10)\/d)\/d))\/d) assuming d is positive.\nAnswer: d**(-171\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2992430 and 598486?\nAnswer: 2992430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -12\/3329?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, -649, -1, 4 in increasing order.\nAnswer: -649, -1, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 74447212?\nAnswer: 372236060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 1 + 4 - 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.017589 - -9.017589. Let w = -5.8 - -6. What is the second smallest value in a, 1, w, -0.5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n + 2*n + n - 5*n.\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2 + 4 + 3*sqrt(448)) - (-3 + 5*-6*(sqrt(448) + 2))**2.\nAnswer: -407187 - 30312*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16220291.\nAnswer: 199, 81509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/23415 and -73\/5397.\nAnswer: 6017655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -35*x**4 - 37740*x**3 + 37527*x**3 + 24*x**4 + 2*x**2 in the form p*x**4 + q*x**2 + s*x**3 + a + m*x and give s.\nAnswer: -213","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 2, -63 in decreasing order.\nAnswer: 2, 0, -4, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**1\/a*a*a)\/a)**34)**(-19) assuming a is positive.\nAnswer: a**(-646)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 104 and 71563713.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2*p - 9*p + p**3 - 2*p**3 + 7*p**2 + 11. Let j be 0\/(-8) - 0 - 4 - -9. What are the prime factors of h(j)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3018, 5, 21, -1 in increasing order.\nAnswer: -3018, -1, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - 3\/(-3)) + (-2)\/(-26). Is i at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 485 a factor of 154173255?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 - 11*m**2 - 19*m + 4. What is s(-9)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1395.\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*a - 7 = 29*a. Let z(b) = 123*b**2 + 21*b + 15. Is z(a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 3*c + 1, 3*c + 2 = 5*c. What is the hundreds digit of (-9)\/(36\/(-2672)) + 2 + p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = k - c - 42, -5*c = 3*k - 42. Find the second derivative of -26*z + 7*z**5 + k*z**5 + 19*z wrt z.\nAnswer: 320*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*p - 11*p = 0. Solve p = 9*b + 2*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, 19, -0.046, -9, -0.1 in descending order.\nAnswer: 19, 5, -0.046, -0.1, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 325*w**2 - 535*w**2 + 267*w**2.\nAnswer: 57*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 + 5*u - 6. Let h be l(-5). Let s be (-3)\/(-2)*(-8)\/h. Let p be 4 - (15\/10)\/((-3)\/(-2)). Solve 2*f - 19 = 3*j, s*j - p*f = -j - 24 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.47 - -0.03. Suppose 4*b + a + 18 = b, -36 = 3*b - 5*a. Let g be (-1 + 2)*(b + -3). What is the closest to g in n, -2, 2\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of 2*s**3\/3 - 11*s**2\/2 + 7*s + 49. Determine v(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10471 is divided by 403?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 135 and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 492 smaller than 492?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4583*h**2 - 39992*h + 39992*h)*(-8*h**3 + h - h).\nAnswer: -36664*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1839 - 14709\/8. Let i(b) be the first derivative of -15 + 3\/8*b + 3\/16*b**4 - f*b**2 + 0*b**3 - 3\/40*b**5. Find s, given that i(s) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143661317 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -461, -439, -417?\n\"Answer: 22*v - 483","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 0 + (sqrt(175) - (sqrt(175) + 0)*5 - sqrt(175)) + 4 + -4 + 3 + 4*(sqrt(7) + sqrt(7) + (sqrt(448))**2).\nAnswer: -17*sqrt(7) + 1798","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1228*j**2 - 1566699*j + 1566699*j + (-j - j - j)*(-3*j + 2 - 2).\nAnswer: -1219*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00238377 to four decimal places.\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*0.086.\nAnswer: -0.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31307355?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.8 or -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*i**2 + 12 - 16 + 5*i + 8 + i**3 - i**2 - 5*i**2 - 4*i**4 in the form g*i**2 + m*i**3 + t*i + w + q*i**4 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 98, 375, 842, 1505, 2370, 3443?\nAnswer: 4730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -29\/4, -32, 0.4 in increasing order.\nAnswer: -32, -29\/4, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n - 2. Let z be p(6). What is the tens digit of (z\/5)\/(6\/(-255))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1887 and 36301477.\nAnswer: 629","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 1.966439 millilitres?\nAnswer: 0.001966439","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 499*y**3 + 261*y**3 + 246*y**3.\nAnswer: 1006*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1839*g - 68616 - 30690 = 0 for g.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -63.12 - -61. Let n = 0.12 + i. Let r(t) = -t + 8. Let f be r(5). Put n, f, -1\/5 in decreasing order.\nAnswer: f, -1\/5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 78964 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29 - 96 - 57 - 88 - 8)*(61 - 61 + 33*t**4).\nAnswer: -9174*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 339438, 339440, 339442, 339444?\n\"Answer: 2*m + 339436","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**(2\/9)\/p))**19)**(-25\/4) assuming p is positive.\nAnswer: p**(-1900\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 200.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 45 + -52 + (-1 - (0 - -12)) + 6\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 6*j**2. Let p(n) = -263560*n. Calculate r(p(d)).\nAnswer: 416783241600*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*o**2 + 35*o**2 - 3274*o**4 + 3276*o**4 + 7*o + (o**3 - 3*o**2 + 3*o**2)*(2*o + o - o).\nAnswer: 4*o**4 + 41*o**2 + 7*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29709\/10 - 2971. What is the nearest to 2 in t, 2\/17, 8\/3, 1?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand p - 3*p + 3*p + (5*p + 0*p - 3*p)*(57 - 100 + 54).\nAnswer: 23*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -654\/4277?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -18988*k. Let z(j) = j. Give z(r(b)).\nAnswer: -18988*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (1 - (3 + -6) - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 - 7*i**2 - 23*i - 6. Let d be v(10). Suppose 2*s - d = -3*x, -5*x - 4*s = -3*s - 116. Calculate the greatest common factor of 3 and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00156504049 to four dps.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 23378673 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 17176196119 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + 4 - 4 + (s + 5*s - s)*(1 + 5 - 5))*(-1 + 6 - 3)*((-s + 0*s - s)*(7 - 3 - 2) + 2640 - 1801 + 2*s - 1352).\nAnswer: -16*s**2 - 4104*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.05 in -6\/11, -0.14, -5, -8, -5\/2?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-9 + 5) - -3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 494548344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*c - 0*c, c = 3*f - 12. Let h = 31 - 16. Suppose 0 = -d - 3 + h. Calculate the greatest common factor of f and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -4*m**2 + 2. Let u = 1 - -12. Let v(p) = 0 - 7 + 0*p**2 + u*p**2. Let n(s) = -7*h(s) - 2*v(s). Let z(l) = -2*l. What is n(z(d))?\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k**2\/2 - 1167*k + 25311\/2 = 0. What is k?\nAnswer: 11, 767","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((4 + sqrt(48) - 1*sqrt(363)) + ((sqrt(3) + (sqrt(3) - sqrt(12)*-6))**2 - (sqrt(3) - (sqrt(3) + 5*(sqrt(3) - sqrt(9)\/sqrt(3))))**2)).\nAnswer: -7*sqrt(3) + 592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -24615641 (base 8) to base 3\nAnswer: -101020201021111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - 8)*(7*f + 7*f**4 - 7*f) to k*f**4 + y*f + r + s*f**2 + q*f**3 and give k.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.8 - 3.759. Let t = -4.659 - j. What is t rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (2 - -1)*2528\/48?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a**2 - a. Let h be q(-1). Suppose -28 = y - 90. Suppose 326 = h*j + y. What is the greatest common divisor of j and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -28 + 61. What is the units digit of (6\/r - 2752\/132)*-6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2282*r. Let z(d) = -d + 36. Determine s(z(y)).\nAnswer: -2282*y + 82152","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does -88645 = -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4851814 is divided by 61.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of -w**4\/4 + 2*w**3\/3 + 45*w**2\/2 + 2*w + 10. Find the second derivative of i(c) wrt c.\nAnswer: -6*c + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -0.4 (c) 3649 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**5 - 2*y**5 + 0*y**5 + (-6*y + y + 0*y)*(-40550*y**4 - 41315*y**4 + 82786*y**4).\nAnswer: -4606*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (257*i - 278*i - 575*i)*(2*i - 6*i + 2*i)*(-3 + 0 + 1) in the form r*i**2 + p + f*i and give r.\nAnswer: -2384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 38.1 - 40. Let n = -0.9 - p. Which is the third smallest value? (a) n (b) -0.4 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7723, -7718, -7713?\nAnswer: -7708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 476*b**3 + b**2 - 1. Let h be m(1). Suppose 6*t - h = -116. What are the prime factors of t?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-2)*-4*7\/84. Let o = 577\/15 - -1\/30. Calculate the common denominator of o and j*2\/5 + 1278\/(-480).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/45*(5 + -2). Which is the third smallest value? (a) i (b) 2 (c) 4 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 1. Let s be (4\/(-12))\/(n\/(-30)). Solve 2 = 3*p - s for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*m - 9*m - 15*m - 18*m.\nAnswer: -37*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 6, -7 in increasing order.\nAnswer: -7, -3, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3268641907 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + 288\/(-60) + -6?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 8*q**2 - 5 - 8.\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (5*(0 + sqrt(1008)) - (sqrt(1008) + 4 + sqrt(1008)*4)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 137bc (base 15) to base 8\nAnswer: 172046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 142443 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 113, 906, 3055, 7238, 14133?\n\"Answer: 113*k**3 + 2*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/126*-6*(-6)\/(-2)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8585772682.\nAnswer: 2, 4292886341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 240708 by -3.\nAnswer: -80236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**8)\/(d*d**(1\/6))*((d**(-1\/4)*d)\/d)**28 assuming d is positive.\nAnswer: d**(5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10929221 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1021 at least as big as -5112\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -5056257\nAnswer: -10112514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93357 is divided by 240.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -12 - 6. Suppose 0*a + g*a = -78. Calculate the remainder when 22 is divided by (-790)\/(-65) - (37\/a - -3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 5*d = -5*w, -5*d = 4*w - 40. Suppose -2*t - 5*y + 31 = -0*y, -w*y + 25 = 0. Suppose 0*f = t*f. Solve f = h, 4*q = -4*h - h for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111020580 divided by -2115?\nAnswer: 52492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -0.2, 2.9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 98 and 1901434?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6902338cm to meters.\nAnswer: 0.006902338","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -31, -4 in increasing order.\nAnswer: -31, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1990 + 1989.94. What is the nearest to 11 in 0.4, -3, r, 1\/4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3 (b) -5\/3 (c) 127\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1103090 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11273\/19188 + -134\/369. Let m = f - -1\/39. Factor m*s**2 - 1\/2 + 1\/4*s.\nAnswer: (s - 1)*(s + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*(g*g\/(g*(g\/(g\/(g*g**2)))\/g)*g)\/g)\/g)**43*g**(-2\/23)\/g*((g**6\/g)\/g)\/g assuming g is positive.\nAnswer: g**(-945\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**5 - i**2 + i**2)*(-2 + 5 - 1) - 2*i**5 - 5*i**5 - i**5 - 3*i**5 + 0*i**5 + i**5 + (2*i**2 + 2*i**2 - 3*i**2)*(4*i - 4*i + i**3).\nAnswer: -5*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5396332 to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35, -63, -89, -113, -135, -155?\nAnswer: -173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 6, 4, 20, 5, -1024.\nAnswer: -1024, -4, 4, 5, 6, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6.3 and -69593.\nAnswer: -438435.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -209.677+-1\nAnswer: -210.677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 814 + o - 3*o**2 - 814 - o.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 419 is divided by 60?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 13 + 5*n**3)*(-3*n - n + 0*n).\nAnswer: -20*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2\/31)\/d)\/d**3)\/(d\/d**(-15\/7)*d\/(d**(-1)\/d)) assuming d is positive.\nAnswer: d**(-2215\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*i + 0*i - 3*i)*(2 + 8*i - 2) + (-2*i + 2*i - 2*i**2)*(-4 + 4 + 11).\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.5 - -0.8. Let h = k - 4.3. Is h less than or equal to 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9403394 a multiple of 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38.71311 - -3389.\nAnswer: 3350.28689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2790, 3250, 3710?\nAnswer: 4170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5934)\/(-1380))\/(258\/75).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*z - b + 12 = 92*z - 49*z, 5*z - b = b - 75 for z.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 53610, 51647, 49684?\n\"Answer: -1963*x + 55573","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 171*f - 18*f**2 + 30*f**2 - 3*f - 7*f**2 to g*f + q + i*f**2 and give g.\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -22*w - 206. Determine y(-9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 319 - 4*m**2 - 649 + 325.\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 + r**2 - r + 1. Let f(p) = -8*p**3 - 2*p**2 + 2*p - 2. Suppose 762*q - 749*q = -13. Calculate q*f(u) - 2*n(u).\nAnswer: 6*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15775 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 r when three letters picked without replacement from ekerkkre.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/(-6))\/((-1)\/21). Let h = l + -14. Suppose 4*c = q - 7, h = -4*c - q - 12 - 5. Sort c, 0, 3 in decreasing order.\nAnswer: 3, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2320*f + 24120 = 2356*f. Calculate the remainder when f is divided by 45.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of 83*r**5\/60 - r**4\/24 - r**3\/2 - 37*r**2 + 2. What is the second derivative of f(m) wrt m?\nAnswer: 166","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 3 + 3)*(-l**2 + 0*l**2 - 2*l**2)*(0 - 3 + 6) to the form a*l**2 + t + j*l and give a.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5987 or -6000?\nAnswer: -5987","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 139*n**2 + 12607*n - 16654. Determine d(-92).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 99 - 2 - ((-31 - -12) + (-20 - -51))\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -18018.34843 rounded to the nearest 10?\nAnswer: -18020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 - i + 8. Let q be k(0). Let t = 11 - q. Suppose c - p - 5702 = 0, -c = -t*p - 5159 - 547. Round c to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(252\/(-266))\/(-9)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n - 58*n**2 - 2*n + n.\nAnswer: -58*n**2 + 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 5:18 PM?\nAnswer: 11:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134 = -3*s + l, -53 = -2*s + s + 2*l. Let v = s - 16. Suppose -3*q - 4*r + 2 = -41, q - v = 5*r. Calculate the remainder when q is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-4) - (-351)\/108. Solve -3*k - l - 4 = 0, 2*k - b*l = -5*l for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 AM and 11:21 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 553*f**2 - 553*f**2 + 19*f**5 + (-4 + 0 + 2)*(-2 + 2 + 2*f)*(16*f**4 - 10*f**4 - 11*f**4).\nAnswer: 39*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o and 1 u when four letters picked without replacement from {k: 4, o: 3, u: 1, t: 1, q: 7, d: 2}.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 4*q**2 - 2*q - 1. Let f be 2\/(-8) + (-10)\/(-8). Suppose 15*i - 7 - 23 = 0. Let s(r) = -9*r**i + f - 3 + 4*r + 4. What is 7*p(o) + 3*s(o)?\nAnswer: o**2 - 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 AM and 9:53 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 2, 5*c + 14 = -4*a + 46. Is c greater than 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of u**4 + 610*u**3 - u**2 + 1873 wrt u?\nAnswer: 24*u + 3660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 12171590 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 482880, 482869, 482858, 482847?\nAnswer: 482836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, a: 10}. Give prob of picking 1 a and 1 h.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 = -2*j - 14*j. Let x(g) = -2*g + 23. Calculate x(j).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15.5 + -16. Put 4, 0.5, d in decreasing order.\nAnswer: 4, 0.5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 97190537?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 19 = h + 5, 3*u = 4*h - 29. Let b = h - -2. Calculate the greatest common divisor of b and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 3*h + 84. Let k = -10.94 - -11.04. What is the closest to k in h, -5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z. Let l(k) be the first derivative of 0*k - 10 - 14\/3*k**3 + 0*k**2. Give o(l(h)).\nAnswer: -28*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 - -2)\/1 + 55 + -53. What is the third smallest value in q, -0.1, 2\/49?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1246a + 5?\nAnswer: 12473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9753940577 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 12025 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -2\/15, 2, -15, -2\/23, 12, 0.221?\nAnswer: 0.221","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 658 = -23*f + 66*f + 51*f for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of -4*g**2 + 7*g - 6. Calculate the remainder when 154 is divided by p(-4).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 3. Let n = -165883\/7 - -23698. What is the closest to h in n, 0.5, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 2*i + 0 = -33, 4*f + 4*i + 36 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 9:43 AM?\nAnswer: 1:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 290 (base 10) in base 12?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18070*l + 4 = -5*g + 18072*l, -4*l + 8 = -5*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 2*x = 10, -41*r + 45*r = -5*x + 17. Solve 4 = r*u - 28 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 73 (b) 0.4 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 7 + 4 - 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13579 to the power of 1\/2, to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 17*p. Let v(i) = -205*i. What is 35*t(n) + 3*v(n)?\nAnswer: -20*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, o: 15}. What is prob of picking 2 c and 2 o?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -47359?\nAnswer: 3\/47359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3179972 a multiple of 231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 34177*j - 2084783. Determine d(61).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 50199.8313 - 17318.8229. Let k = s - 32870. Let t = k - 11. Round t to 3 dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 6, k: 4, u: 2}. What is prob of sequence ku?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4\/14 - 282078\/(-126)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 1. Suppose 5*t = -3*b - 33, z*b + 2*b = 2*t - 6. Let a(w) = w**2 + 5*w + 4. Let g(r) = -2*r**2 - 9*r - 8. Let s(l) = 5*a(l) + 2*g(l). What is s(b)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 233409516?\nAnswer: 2, 3, 29, 433, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 3:25 AM?\nAnswer: 7:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-10890)\/968*-16*57\/190\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67 + 58 - (-532)\/66 and 115\/474.\nAnswer: 5214","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1110353422?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.02539 (b) -2 (c) 0.56 (d) -0.714\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tgvvvggvvt. What is prob of sequence gg?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {p: 5, z: 1, o: 3}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 263983?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4700890*y**2 - 21 + 21.\nAnswer: 4700890*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -16*u + 145. Let r be j(10). Let x be 9\/(-3)*20\/r + 8. Let a(k) = k**2 - 13*k + 17. Determine a(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 + 5*m + 2. Let p be n(-5). Let x be 3\/p - (-1)\/2. Suppose 5*o = -o + 5*o. Put 4, x, o in decreasing order.\nAnswer: 4, x, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -171445091 and -171445091 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -59.05 and 0.9.\nAnswer: -53.145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -110001102 (base 3) in base 5?\nAnswer: -240121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/5 (b) 1\/54412 (c) 2\/17 (d) 5 (e) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + 9371?\nAnswer: 9370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a kilogram in grams?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 364621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -455455781*j**2 - 762398154.\nAnswer: -910911562*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -k + 5*u + 14, -k = -u - 10. Let f be 2*2\/k + (-800)\/(-96). Let c(x) = f + 15 - x - 28. Determine c(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1092 - 2181 + 1089 - 666*b.\nAnswer: -666*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-33)\/(-121)*(1 - (-5)\/(-3)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44736797?\nAnswer: 7, 6390971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1012121021 - -11?\nAnswer: 1012121102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -25\/518 + 142\/259. Factor 5*b + 12 - a*b**2.\nAnswer: -(b - 12)*(b + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**0)**26*((b\/b**5*b*b)\/b)\/(b*b**0) assuming b is positive.\nAnswer: b**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1647 divided by -183.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 56 + -19. Suppose -4*z = 5*t - 169, -49*t + z = -52*t + 100. Let p = y - t. Solve -p*m + 18 = -2*u, -5*m + u = -0*u - 15 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 35, 359, 1249, 2987, 5855, 10135?\n\"Answer: 47*l**3 + l**2 - 8*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of 0*i**7 + 0*i**5 + 0*i**3 + 1\/784*i**8 + 0 - 9*i**2 - 1\/140*i**6 + 0*i + 1\/56*i**4. Suppose w(a) = 0. What is a?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2659*f + 4942*f - 2337*f.\nAnswer: -54*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 70 and 36750.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.23 - -0.32. Let y = r + 0.41. Which is the closest to -2? (a) -2\/7 (b) y (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 85\/1830*(-5616)\/(-7956)?\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*a + 3*d - 110 + 51, 9*a + 130 = 4*d for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -3497793.\nAnswer: 4\/3497793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 25 + 23 + (-29 - -12) + 9 + 4\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3317471.064 rounded to the nearest 100000?\nAnswer: -3300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*b = -4*m + 108, 24*b + 4*m - 56 = 25*b - 3*m + 4*m for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/(18\/3))\/(((-670)\/3283)\/(-5))?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 6, -2\/23, 5?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 4 = 0, q + 3 = -4*v - 2. Let b = 0.3392 + -0.0082. Let a = 0.231 - b. Put q, -0.5, a in descending order.\nAnswer: q, a, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 2*l**2 + 10106*l - 335676 = 0.\nAnswer: -5086, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 4832*w + 8. Let z(q) = -q + 5. Let v be z(5). Suppose -3*b + 5*b - 12 = v. Let d be s(b). Round d to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/8)*v\/((v\/(v\/((v\/v**(2\/33))\/v)*v))\/v)*v*(v*v**(1\/9)*v)\/v*v*v*v*v*v*v**(-1\/2))**42 assuming v is positive.\nAnswer: v**(54313\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 62104 (base 8) in base 5?\nAnswer: 1310133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -108111347*f**3*j - 31*f**2*j + 3*f**2 - 3*f*j + 2*f + 11*j - 54 wrt f?\nAnswer: -648668082*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 271.0000149 - 271. What is q rounded to six decimal places?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 - x - 1. Let l be g(-1). Let n be (l - 4) + 3\/(-1). Let j = -8 - n. Solve j = -4*d - d + 5*v, -2*d - 4*v - 24 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(152))\/sqrt(8) - (3 + sqrt(684)).\nAnswer: -3*sqrt(19) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-26)\/(-45))\/(136\/6). Let z = h + -2582\/255. Find the common denominator of z and (-2)\/4*(-1)\/((-4)\/77).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 - 5*l + 4. Let k be w(5). Suppose k*p - 100 = -0*p. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20 - -26. Let y(o) be the first derivative of -1\/12*o**a + 1\/5*o**5 - 4 + 0*o + 1\/4*o**2 - 1\/3*o**3 + 0*o**4. Solve y(k) = 0 for k.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*2*(-2 + (-2*sqrt(450) - sqrt(600)\/sqrt(108)) + 4)**2.\nAnswer: -36172\/3 + 760*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3338, -1, 2, 5, 4 in increasing order.\nAnswer: -3338, -1, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 179*w + 423. Give n(-2).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + ((-47)\/(-6) - 15\/(-90)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*m + 0*m + 2*m)*(2 - 1 - 3) + 4*m - 2*m - 3*m + 31*m - 536*m - 428*m)*(-4 - 1 + 2).\nAnswer: 2790*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-270)\/945 - (-92)\/126\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*h - 18*h = -k + 7736, 0 = h + 3. Is k a multiple of 298?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 11:11 AM?\nAnswer: 7:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**2\/2 + 36552*f - 222674784.\nAnswer: -3*(f - 12184)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -82 + 3*a + 75 - 6*a. Let v(q) = q**3 + 5*q**2 + q - 1. Let z be v(-5). Determine o(z).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 230 and 251206?\nAnswer: 1256030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-13 - (-9)\/3) + 4\/1. Let c(y) = y**2 + 3*y + 5. What is c(q)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + -13. Let n = -18 - t. Let l = n + 6.944. What is l rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19074?\nAnswer: 2, 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 25885704 less than 25885677?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 + 53. Let m = -65.31 + a. Let x = m - -4.31. What is the second smallest value in -2\/17, x, -1?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 8176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*m = 31*m + 78. Let c = -26 - m. Suppose -2*h + h + 1437 = 3*z, 4*h = c. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 204\/1989*(-9)\/4.\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 4. Let l be 3\/(g - 10\/4). What is the units digit of l\/7 + 93\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + -3.74. Let s = t - -0.05. Let u = -0.19 - s. What is the biggest value in 2\/5, 0, u?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 1 - 1)*(74*v**3 - 149*v**3 + 67*v**3) as d*v**2 + s*v**3 + t*v + f and give s.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 13*y**3 + 7*y**2 + 13*y. Let t(g) = 5*g**3 + 6*g**2 - 5*g**2 + 4*g**3 + 9*g + 4*g**2. What is 5*s(h) - 7*t(h)?\nAnswer: 2*h**3 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.03 * -113159.\nAnswer: 3394.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(1*(-9)\/6). Let h = 1.5 - 0.5. Which is the nearest to f? (a) h (b) -3\/5 (c) 49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 = 15*c - 21*c. Does 9 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132361000 rounded to the nearest 100000?\nAnswer: 132400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 0)*(2*l**2 - 1 + 1 - 2*l**2 + 2*l - 2*l + (3*l**2 - 3*l**2 + l**2)*(3 + 4 - 6) + 0*l + 0*l + 2*l**2)*(-8*l**2 + 14*l - 14*l)*(l - l - l).\nAnswer: -48*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1 - 0.2. Let i = 222 + 522. Let k = 740 - i. What is the second biggest value in k, -9, l?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6 - -19?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1174, -2452, -3730, -5008, -6286?\n\"Answer: -1278*a + 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -20438295 divided by -2?\nAnswer: 20438295\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 PM and 9:41 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, w: 5, s: 3, v: 4, n: 4, d: 1}. What is prob of picking 1 d and 1 s?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 h when three letters picked without replacement from eppzfeppzpppph?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 6460, 6465, 6472, 6481?\n\"Answer: o**2 + 2*o + 6457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -8. Suppose 0 = -q + 3*f + 12 - 3, -3*q + 5*f + 19 = 0. What is the lowest common multiple of h and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 173459, 359721, 545983?\n\"Answer: 186262*b - 12803","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of 0*v + 0 - 6*v**2 - 1\/6*v**3 + v**4. Is 9 a factor of q(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 66155*p = -66147*p + 36, -3*m + 5*p + 10 = -17 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*n**3 - 949883*n - 77539087 wrt n.\nAnswer: 24*n**2 - 949883","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1063295754?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 525*i**2. Let p(l) = -2*l. Determine m(p(j)).\nAnswer: 2100*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j**4 - 144*j**3 - 1740*j**2 = 0. Calculate j.\nAnswer: -10, 0, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 4109*n**3 + 2*n**2 + 7*n + 5. Is k(2) a multiple of 197?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -4*q - 1. Let n be a(-1). Let c = 7 + -6. Let p = 1 + c. Solve -25 = -n*h - p*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -7*f**3 - 3*f**2 - 1 + 4*f**2 + 15*f**3 + 0*f**2. Let k = 16 + -11. Suppose 0 = k*q - 1 + 6. Determine o(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9957 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/48 and 11994\/(-5040) + (-22)\/231?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29, -38, -57, -92, -149?\nAnswer: -234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 6*n + h = -247, -13*n - 2425*h = -2424*h + 814 for n.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -55, 0 in descending order.\nAnswer: 0, -2, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 0.4, -22\/7, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 26019295?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/((-41953)\/(-20977) + -2). Let b = q - -2013841\/96. Let i = 11\/370 - 3463\/740. Calculate the common denominator of b and i.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/829, 0.5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 893756 to the power of 1\/3, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 80*j**2 - 292*j**2 + 978*j**2 in the form k*j**2 + n*j + g and give k.\nAnswer: 766","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38625829?\nAnswer: 11, 3511439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {a: 2, m: 18}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 131.1 - 131.3. Let c be 1 + 1*(0 - 0). Sort 0, w, c.\nAnswer: w, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -2\/21 (b) 0 (c) -675 (d) 2\/3 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 1313*t + 8682. What is the ten thousands digit of g(18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 0. Let a be -1*(-3 + m) + -1. Let h = a - -1. What is h rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -40\/353?\nAnswer: -40\/353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 739 - -1?\nAnswer: 73a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2939*l*n**3 + 2542*l*n**2 - l*n - 257*n**3 - 35*n**2 wrt n.\nAnswer: -17634*l - 1542","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x**3 - 374070*x**2 - 7010238300*x - 516711253000 = 0. Calculate x.\nAnswer: -37370, -74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 - 27. Let o(c) = -c**2 - 16*c - 14. Let u be o(k). Let l be 11400\/(-399)*(-7)\/2. Calculate the highest common factor of l and u.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20442203 (base 5) in base 12?\nAnswer: -83341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21\/356 - 21287\/1780. Find the common denominator of y and (-41)\/(-22) + 2 + 0.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103913650 at least as big as 103913648?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 471 is divided by 232?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6715 and 1921.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 - 7 = 2*r. Suppose -4*j - 20 + 8 = 0. Let n = 11 + j. Put r, n, 3 in decreasing order.\nAnswer: n, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 506*z - 396275935 - 243423939 = 0. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 - (-6 + (-824)\/(-56)). Which is smaller: z or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1247114, 4988508, 11224166, 19954088?\n\"Answer: 1247132*b**2 - 2*b - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 10*x**2 - 1. Let q(o) = -9*o**2 - o + 1. What is -2*d(r) - 3*q(r)?\nAnswer: 7*r**2 + 3*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1239 - -105312\/85. What is the common denominator of t and 117\/20?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -4*b**2 + 12*b + 10. Let g(r) = -5*r**2 + 12*r + 10. Let a(t) = 3*g(t) - 4*y(t). Let w be a(11). What is the units digit of (12\/9 - 2)*w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ykkkydyydkyyd. Give prob of sequence dky.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*z - 9*z**2 + 8*z**3 + 30*z + 10*z**2 to the form p*z**3 + a*z + q*z**2 + r and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of j**5\/30 + 17*j**4\/48 + j**3\/3 - 3*j**2. Factor g(i).\nAnswer: (i + 4)*(4*i + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + (3\/5)\/((-2)\/(-10)). What is the third smallest value in p, -3\/7, -0.3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 a factor of 149544317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*c + 67 - 1. Let s = -16 - c. Let v(i) = i - 1. Let b(p) = -2*p - 5. Calculate s*v(q) + b(q).\nAnswer: -7*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.321 + 0.421. What is the second smallest value in a, 155, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2 + 3 - 2*l + 3*l**2 + l**2. Let m(w) = -w**2 + w + 4. Let s be m(-2). Calculate the remainder when 39 is divided by t(s).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 23*x**3 - 24*x**2 - 21*x - 24. Let v(i) = 5*i**3 - 6*i**2 - 5*i - 6. Let t(f) = 2*p(f) - 9*v(f). Give t(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -262 - -268. Suppose -1540 = x*k - 13*k. Is k a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 - 5*y - 3. Let u be s(-3). Suppose -4*z = 0, -4*h + 8*z = 9*z - 12. Let k = u + h. Is k a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -285*i**2 + 386*i - 386*i + 7*i**2 in the form u*i + r + b*i**2 and give b.\nAnswer: -278","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/20 and 61\/30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40 - (93 - 55) - (1 - 4 - (-40 - -1)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yo when two letters picked without replacement from {o: 2, y: 2, f: 4, n: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36 and 10371012?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, c: 7}. Give prob of sequence nnnc.\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1350917 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -61 + 306\/5. Suppose 316 = 5*f - 3*y, f - 96 = 75*y - 58*y. Which is smaller: f or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/6*(-20)\/(-75). Let q = 1 - 1.5. What is the nearest to 1 in a, q, -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 51.6 + -26.6. Which is smaller: q or -2\/35?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 62463 = -5*w + 56318, -71271 = -3*w + 3*b. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -535, -1080, -1629, -2182, -2739, -3300, -3865?\n\"Answer: -2*i**2 - 539*i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 13 + -6 + -2 + -1. Let m = -1366 - -1386. Solve -v = 4*b - 0*v, y*b - 4*v + m = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 212732*i - 736059*i - 313098*i.\nAnswer: -836425*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -1019*c - 6104. Let f be n(-6). Solve 41 = f*o - 39 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 957 and 1023?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of 0*d + 1\/180*d**6 + 0 + 0*d**5 - 1\/630*d**7 - 1\/36*d**4 + 1\/18*d**3 - d**2. Find h, given that b(h) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 549*p + 577*p - p**3 - 1126*p.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11208 and 28.\nAnswer: 78456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 10)*(-172*c**2 + 17*c**3 + 172*c**2).\nAnswer: 153*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38319795?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00309034772 rounded to 4 dps?\nAnswer: 0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 26 + 10 = 2*x, x - g = 18. Suppose 9*z = x - 0. Suppose n + z*n = 309. Is 40 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 - 2)*(-r**2 + 0*r + 0*r) + 3*r**2 - 3*r**2 - 2*r**2 + 24*r**2 - 43*r**2 + 15*r**2 - 3*r**2 + r**2 + r**2.\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -37 + 42. Suppose 20 = -2*d - 5*n - t, 2*d + n + 5 = 0. Suppose d = -3*w + 18 - 3. Put w, 4, -6 in decreasing order.\nAnswer: w, 4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36095 + 36095 - 108301 + 36119 + 3*h + 2*h.\nAnswer: 5*h + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4556214 and 1611?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-8)*p*p\/(p*p**(-6)))**(-44)\/(((((p*p**(1\/3))\/p)\/p)\/p)**(-3\/5))**(-2\/41) assuming p is positive.\nAnswer: p**(2\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 161003 - -634.\nAnswer: 161637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 0 - 10) + (81 - (47 + 41))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a week in minutes?\nAnswer: 3024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6509385 - 9.041?\nAnswer: 6509375.959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 310 a factor of 180730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-324)\/270*10\/8)\/((195\/1196)\/(-5)).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3455780710.\nAnswer: 2, 5, 661, 522811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23 + -22. What is the nearest to 1 in -5, -2\/3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/5266928 and -21\/128?\nAnswer: 42135424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 3*p - 6. What are the prime factors of (0 + p)\/((-30)\/(-405))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*s**3*x + 3*s**3 + 3*s**2*x**2 - 558*x**2 wrt s?\nAnswer: -9*s**2*x + 9*s**2 + 6*s*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*f + 4. Is 2 >= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -6*((sqrt(832) - (sqrt(832) + -1))**2 + sqrt(832)).\nAnswer: -48*sqrt(13) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 271 = -5*b, -b + 1388061*r - 53 = 1388062*r for b.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*y = 47 - 79 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31000234 (base 5) to base 7.\nAnswer: 2061031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x - 3*x - 6. Let i be 1 + -5*x\/5. Solve v = 2*p + i, -p + 0*v - v - 9 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - -15 - 0) + -15.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of 1\/210*u**7 + 0*u**3 + 1\/120*u**6 + 0*u - 8*u**2 + 0 - 1\/60*u**5 - 1\/24*u**4. Determine z, given that q(z) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 613975111 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 0*c + 144 = 0. Let o = c - -176. Is 23 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 30732 = -3*n, 2*g = -47 + 57. What are the prime factors of n?\nAnswer: 37, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 + 5*d + 3. Let x be i(5). Let w be (0 - (-1428)\/108 - 13)*9*1. Solve x*l = -1 - w for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*i*u**3 + i + 352*u**3 - 9502 with respect to u.\nAnswer: 9*i*u**2 + 1056*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6733, -13467, -20201, -26935, -33669?\nAnswer: -40403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of 2*s**3\/3 + 803. Let r(y) = -366*y**2. Give t(r(o)).\nAnswer: 267912*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1764952 (base 13) to base 14\nAnswer: -1020642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of -3*y**4\/4 + 3*y**3 - 159*y + 53. Differentiate x(h) with respect to h.\nAnswer: -9*h**2 + 18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -4*s + 19 - 3, -5*s + 27 = 3*l. Suppose 2*y + 0*y - l = 0. Which is the third smallest value? (a) 0.3 (b) 3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 117\/18 - (-10)\/(-2) - 1. Factor 0*x**3 - v*x**4 + 0 + x + 3\/2*x**2.\nAnswer: -x*(x - 2)*(x + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, e: 4, z: 3, k: 1, p: 2, l: 1}. What is prob of picking 1 z and 1 p?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 2*m - 38, -i - 5*m = -0*m - 23. Suppose -i*a - 30 = -5*a. Round a to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + q. Suppose 0 = 3*x + 4*u - 18, x - 10 = -4*u + 4. Suppose q - x = -2*z. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 9*o - 2 - 4*o**2 - 2*o - 3*o**3 + 4*o**3 + 14*o**2. Let q be i(-9). Let z be 1\/8 + (-66)\/q. Let g(j) = -6*j + 1. Let x(a) = -a. Give z*x(f) + g(f).\nAnswer: -2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1887 - 583*m - 943 - 944)*(6*m - 2*m - 2*m).\nAnswer: -1166*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*t - 2*t + 2, 3*t + 17 = 4*c. Suppose -c*s = 2*s - 42. Let b(k) = k**2 - 5*k + 5. What is b(s)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24443?\nAnswer: 24443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6411*k + k**3 + 6411*k.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -4*l**4 - 19264*l**3 + 4304828*l**2 - 4285560*l = 0.\nAnswer: -5030, 0, 1, 213","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 60*p**2 + 272*p + 26. Calculate the remainder when s(7) is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 116534853, 4.\nAnswer: 2\/5, 4, 116534853","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4015\/22 - (-6)\/(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 15, 16, 13, 6?\n\"Answer: -2*o**2 + 7*o + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 37211 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - -16. Let o(x) = -13*x**3 - 6*x**2 - 7*x - 7. Let u(y) = 44*y + 262. Let q be u(-6). Let i(a) = -4*a**3 - 2*a**2 - 2*a - 2. Give q*o(p) + t*i(p).\nAnswer: -2*p**3 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.20830365 + -309.79222635. Let c = 310 + p. What is c rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -t, s = 3*t + t + 56. Suppose 775 - 916 = -3*m. Let x = m - s. List the prime factors of x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*f + 10*f**3 - 89*f**2 - 92*f**2 - 26*f**3 + 160*f**2 - 4*f to the form i + k*f**3 + v*f + c*f**2 and give c.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 97 = 21. What is the tens digit of 19\/l - (-369)\/4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28333465 and 2090.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*((-1245)\/(-105) + -16 - (-9 + 5))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -105*n**2 + 1047*n\/5 + 6\/5 = 0.\nAnswer: -1\/175, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 - j - 1. Let i(x) = 4*x**2 - x - 5. Let u = 28 + -23. Let d be u + -1 - (-1 - 15). Let l(b) = d*f(b) - 4*i(b). Factor l(z).\nAnswer: 4*z*(z - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 146572929?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(500)\/(sqrt(10)*-2))\/(sqrt(10)*2*5 + sqrt(10)) + 1*((sqrt(605) + sqrt(605) + sqrt(605) + -1)**2 + 4) + -1.\nAnswer: -1453*sqrt(5)\/22 + 5451","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19.004 + -19. Let j = -3.004 + x. Let m = 0.68 + -0.18. Which is the closest to -1\/4? (a) j (b) m (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 295911.6mg to tonnes.\nAnswer: 0.0002959116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000969197 to 5 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 17154, 34407, 51660, 68913?\n\"Answer: 17253*h - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 35880 = z, 5*x - 3*z - 159937 = 19473. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*g**2 - 3*g**2 - 2*g + 2*g - 4*g**2.\nAnswer: 17*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 4 + 0)*(-c - c + 0*c)*(-1140 - 77*c + 1140) in the form x + f*c**2 + u*c and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1942, 1942, 1940, 1936?\n\"Answer: -o**2 + 3*o + 1940","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5710956*w - 12*w**3 - 5710956*w.\nAnswer: -12*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 6*s - 118. Let j be x(25). Solve j = -r + 29 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + -0.02. Let u = 227.02 - 225. Let o = m + u. Sort o, -1\/4, -2.\nAnswer: -2, -1\/4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(1\/2)*p)**39*(p**0)**11)**(-8) assuming p is positive.\nAnswer: p**(-780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + 5204b?\nAnswer: 5204b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/3784023 and 35\/11352069.\nAnswer: 11352069","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11772284, 11772282, 11772280, 11772278, 11772276?\nAnswer: 11772274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 205384 and 584?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9077*q - 76614 - 376916 = 831*q for q.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 36767 or 36776?\nAnswer: 36776","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ty when two letters picked without replacement from {b: 1, y: 2, n: 1, t: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000992761851 rounded to five decimal places?\nAnswer: 0.00099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express g**2 - 6*g - 19 + 7*g + 10 as m + x*g + a*g**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3906174 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j**2. Let p(w) = 3*w**2 - 4*w**2 + 18*w**2. What is p(k(m))?\nAnswer: 68*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4119 + 4122. Solve s*u + 15 = 21 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = -11*j + 8 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3019 - 9076 - 1505*w + 3032 + 3024.\nAnswer: -1505*w - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t. Let o(v) = -4453330*v + 1. Calculate o(h(i)).\nAnswer: 4453330*i + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2212102011 (base 4) to base 9\nAnswer: -1247250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -50 or -74779?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/27902506 and 11\/203916?\nAnswer: 167415036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2254204002?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -10943, -10906, -10869, -10832, -10795?\n\"Answer: 37*x - 10980","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (34\/(-153)*-18*2\/4)\/2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*c**3 + 5*c**6 + 0 + 6*c**6 - 18*c**2 - 4*c**6 - 3*c**3 + 6 wrt c?\nAnswer: 840*c**3 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of q**8\/2520 - q**5\/12 - q**2. Let r(i) be the third derivative of x(i). Let m(c) = -2*c**2. What is m(r(h))?\nAnswer: -128*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-1)*46\/138\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 - 9*d - 5 + 16 + 20*d + 23*d + 10.\nAnswer: 34*d - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eew when three letters picked without replacement from {e: 5, w: 1, h: 10, t: 1}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 4*y**2 - 5*y + 1. Let g(a) = -5*a**2 + 4*a - 1. Let c(l) = -5*g(l) - 4*i(l). Give c(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 5*i**2 - 2. Let u = 122 - 83. Suppose 5*l - u - 61 = 0. Suppose 4*v = 4*f + 16, -4*v + 6 = -2*f - l. Let b(t) = -2*t**2 + 1. Give v*b(w) + 4*y(w).\nAnswer: 2*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 66 and 54.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/132488 and 25\/16561.\nAnswer: 132488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -4 - (68 - 71)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 936 + -916. Calculate the smallest common multiple of 1016 and o.\nAnswer: 5080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -0*a + 5*a. What is the remainder when 16 is divided by a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 54 and 3879?\nAnswer: 23274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-89)\/(-4) + 55\/(-220). Calculate the highest common divisor of 24 and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 - 6 - -9) + (-1 - 6).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 + 11*l - 6. Let j be h(-12). Suppose j*q - 11*q = 15. Let z(x) = x**3 + 4*x**2 + 5*x + 3. Determine z(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2497 and 87574784?\nAnswer: 2497","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 PM and 10:28 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 388.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 6:10 PM?\nAnswer: 9:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 212\/3 - 70. Let f = -0.9 - -1.4. What is the third smallest value in f, -2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 5724, 5735, 5752, 5775, 5804?\n\"Answer: 3*b**2 + 2*b + 5719","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -618758 divided by -193\nAnswer: 3206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 189*q + 5. Let r be n(3). Suppose -14*t + r = -10*t. Let y be (t\/(-22))\/((-2)\/4). Calculate the greatest common factor of 13 and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (40 - (-19 + 39)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 238.4 (b) 5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - -1004?\nAnswer: 1012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 95063, 190128, 285193, 380258, 475323?\nAnswer: 570388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1445211651?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3\/4, 209, 0 in descending order.\nAnswer: 209, 2, 3\/4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 442*w**6 + 26606*w - 125*w**2 - 148*w**6 - 26608*w wrt w?\nAnswer: 35280*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + 0\/(-3 + 2). Is -4 + 2 - 37*w a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.382 minus 0.09?\nAnswer: -2.472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-16 - 15) + (0 - -11 - (-154 + 159)) + -2\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/5 (b) 77 (c) -67\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 97 = -2*l, 36*u = 35*u - 5*l + 14. Let y(x) be the second derivative of -3\/5*x**3 + 0 + 1\/30*x**4 - u*x + 0*x**2. Factor y(a).\nAnswer: 2*a*(a - 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2386 - 0.3.\nAnswer: -2386.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-37)\/(-74))\/(3 - 100\/32)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of 401*u**6\/40 + u**5\/60 + 289*u**3\/6 + 1536*u**2. Find the third derivative of c(d) wrt d.\nAnswer: 7218","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16? (a) 5\/6 (b) -5 (c) -4 (d) 0.2 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 9 + 3. Solve -a = 3*n - 7*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2. Let b(n) be the second derivative of -242*n**4\/3 + n + 1541. Give b(m(z)).\nAnswer: -968*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 12:57 PM?\nAnswer: 7:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1203 a factor of 4548543?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*y - 5090 - 15463*y**2 - y**3 - 725 + 15462*y**2 + (y + 0 + 0)*(3*y**2 - 3*y**2 - y**2) as c*y**3 + f*y + v*y**2 + o and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/18670 and 3\/13069?\nAnswer: 130690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 680 = -220. Calculate the greatest common divisor of 650 and t.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 b when four letters picked without replacement from {b: 14, z: 4}.\nAnswer: 1001\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 9*y**2 - 17*y - 40. Calculate z(-2).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 13 + -6 + (-119 - -104)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -49*q + 214. Let b be m(4). Solve 0 = 22*f - b*f + 12 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.8 in -2\/13, 0, 4, -1\/15?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 4*i + 32, 2*c + 3*c - 45 = 5*i. Let p(m) = -6*m + 6. Let o be p(i). Suppose -l = l - o. Calculate the remainder when 53 is divided by l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10830359 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q - 115 = -8*q. Let p = q + 19. Let l be p + (4 - (-2)\/10). What is the second biggest value in 2\/11, 0.5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssknkn. What is prob of sequence ssk?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 PM and 11:16 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -79*i - 15. Let w be u(-3). Let r = w - 101. Let x = -15 - -26. Calculate the highest common divisor of x and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of -2*d**3 + 2. Let c(i) = -9*i**2 + 5*i - 25. Let k(t) = -112*t**2 + 63*t - 315. Let j(p) = -63*c(p) + 5*k(p). Give j(q(u)).\nAnswer: 252*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-3))\/4*1*6\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166*a + 248*a - 5706 = 97*a for a.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 192*o - 5733 - 190*o + 4944 + o**2 as x*o**2 + s + b*o and give s.\nAnswer: -789","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -8 + 5 - 5*l - l. Let y(j) = 9 + 0 - 7*j - 12. Calculate -5*y(i) + 6*z(i).\nAnswer: -i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l**2. Let i(x) = 144709*x. What is i(f(k))?\nAnswer: 289418*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96 is divided by 87.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 736, 2928, 6572, 11662, 18192, 26156, 35548?\n\"Answer: -q**3 + 732*q**2 + 3*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s - 6. Let z = 181 - 178. Let u(m) be the second derivative of 6*m - 1\/6*m**z + 1\/2*m**2 + 0. What is p(b) + 4*u(b)?\nAnswer: -2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 98881 or 98872?\nAnswer: 98881","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*z = 36 + 138. Solve 5*w = z*n + 10*w - 10, 5*w = -5 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1049, -417, 5, 0 in decreasing order.\nAnswer: 1049, 5, 0, -417","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1514*b + 10540 - 2970 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3412, 6004, 7784, 8758, 8932, 8312, 6904?\nAnswer: 4714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/g**(-2\/9)*g*g*g)**(2\/139)*g\/(g\/(g\/(g**(-1)*g)))*g**(-3\/10)\/g assuming g is positive.\nAnswer: g**(-2813\/12510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, -69, 2\/7, 18, -1\/3, 0.158?\nAnswer: -69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = 2*h - 3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of -7*k**5\/60 + 21*k**2. Let u(g) be the second derivative of -g**4\/6 + g. Determine u(f(m)).\nAnswer: -98*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 6, p: 13}. Give prob of picking 3 x.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 179*x**2 + 1 - 1267*x**2 - 827*x**2 + 6448*x**4 wrt x.\nAnswer: 154752*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -4*t + 3*r + 50, 0 = -5*r - 25 for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -83 + 9*g**2 + 9*g**2 - 8*g**2 - 6*g + 86 + 11*g**2 as p*g + w*g**2 + x and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -224 = 82*d - 89*d. What is the remainder when 32 is divided by d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -197603, -395202, -592801?\nAnswer: -790400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 203788421 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 - -1133012201?\nAnswer: 1133012213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together -559149300 and 5.\nAnswer: -559149295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -3640*h - 351. What are the prime factors of o(-7)?\nAnswer: 13, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - -1) + (7 - 5) + 39. What is the smallest value in 3\/4, 3, i?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000695541385 to seven dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4788\/10260*1\/((-2)\/(-24))*(-10)\/4?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1347 by -2181.\nAnswer: -449\/727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 4*d - d**2 - 9 + 5*d + 0*d. Let f be u(6). Let m = f + 0. Does 9 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2250 divided by 225\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 s, and 2 r when four letters picked without replacement from zesrsrerzspesprz?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -378*y - 1. Let x be n(1). Let c = -723 - x. Let g = -153 - c. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1054*y**4 - 664 wrt y.\nAnswer: -4216*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -77*g**3 + 2*g**2 + 2*g + 1. Let x be s(-1). Suppose 5*w + x + 62 = 0. Let h be (w\/(-70))\/(2\/20). Solve 4*u - 8 = -4*r, 3*u - h*r = r - 18 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20312 - -20315. Which is the third biggest value? (a) 244 (b) -5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7762 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 876.9928m in micrometers?\nAnswer: 876992800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*-18*1\/(-3). Let o be t\/54 + (-68)\/(-18). Solve -6*q + 8 = -o*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -318*c**3*w - 1826*c**3 + c*w - 220*c + 114*w - 4 wrt c?\nAnswer: -1908*c*w - 10956*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + -1)*(-6)\/(-12). Let t(c) = c**2 + c. Let x be t(p). Let w(k) = k + 18. Let m be w(x). What is the greatest common divisor of m and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 822633075 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, 0.0229, -7.8, -4?\nAnswer: -7.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzozozooozzzzozzo. What is prob of picking 2 z and 2 o?\nAnswer: 231\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 143 = 453. Suppose -s - a = -3*j, -j = -4*s + s - 10. Suppose -w = j - 77. Calculate the remainder when w is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 892812*n**5 + 1059*n**2 - 15*n - 3 wrt n.\nAnswer: 53568720*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19875738065 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of r**4\/6 - 2*r**3\/3 + 5*r**2\/2 + 209*r. Let k(v) = 3*v**2 - 5*v + 6. Determine 5*k(a) - 6*n(a).\nAnswer: 3*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*h**3*s + 34777*h**3 - 5*h**2*s - 3*h**2 - 419 wrt h?\nAnswer: 12*s + 208662","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 2 + 52*i + 3 - 28*i.\nAnswer: 24*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10 + 87\/(5394\/868). Factor -h + 1\/3*c**5 - 4*c**4 + 52*c - 134\/3*c**2 + 19*c**3.\nAnswer: (c - 3)**2*(c - 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 333 - -41220?\nAnswer: 42103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1c7e - -4?\nAnswer: 1c83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107*z**2 - 89*z**2 + 20*z**3 + 11 + 12*z**3 + 107*z**2.\nAnswer: 32*z**3 + 125*z**2 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 3*p + 30. Let t be s(-9). Suppose 4*a = 2*h + 2*a - 116, 5*h + t*a = 314. Suppose 203 = 3*z - h. Is 10 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 2)*(-a**3 + 5*a**3 - 2*a**3) - 10563*a**3 - 7078*a**3 + 14206*a**3.\nAnswer: -3433*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (126\/140)\/((-9)\/(-15))\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 166871 to the power of 1\/2, to the nearest integer?\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 6648.439 to the nearest 100.\nAnswer: 6600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 15 = -3*g, -7 = -4*h - 19 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133 + 129 = -m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + 2162?\nAnswer: 2158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 620*x - 625*x + 16 = -4*v, 4*x = -2*v - 8 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 6 = b + 5*v, 3*b + 4*v = -4. Let g = 204.94 - 197. Let k = g - 8. Put -3, b, k in descending order.\nAnswer: k, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 11) in base 2?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1655 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2 + 2 - 2 + 4*m + 1. Let g(v) be the second derivative of -v**4\/12 - 11*v**3\/6 + 5*v**2 - 3*v. Let y be g(-12). What is r(y)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.899 - 106.701. Let p = 122 + t. What is p rounded to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27.9 - -2.9. Let x = 24.999969 + v. What is x rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 228.6 in 252, 0.12, -4, 1\/13?\nAnswer: 252","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*f - 9*f - 2 = -j, 0 = -2*f - 4*j for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand h + 4*h - 3*h + (-1 - 1 + 3)*(-2 + 2 - 2*h) + 48*h - 87*h - 109*h.\nAnswer: -148*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 3.5. Let l = -226.9904 - -227. Let u = 1.0096 - l. Sort p, u, -2\/5, 0.1 in increasing order.\nAnswer: p, -2\/5, 0.1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*c - 27*c + 155*c - 29*c - 35*c - 30*c.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 + 8 + 1 - 3) + 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 12 = -2*y, -4*u + 3*y - 18 = y. What is the lowest common multiple of 0 + 3 + 3\/u and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a tonne in kilograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 44*w**2 - 24*w**2 + 58*w**2 - w**2. Let o(m) = 2*m. Calculate z(o(g)).\nAnswer: 308*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-152)\/(-6))\/((-8)\/(-12)). Let v = j + -29. What is the remainder when v is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 49 = -4*l. What is the remainder when 1100\/30 + (-4)\/6 is divided by l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**2 + 540*v + 2240.\nAnswer: -5*(v - 112)*(v + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7 + -3*(-2)\/(-3). Suppose 4*y + 23 = -21. Let w = y + 14. Solve 0 = -w*a - 17 + b for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 + -3)*((-5944)\/11145)\/(4\/(-25))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2419725 divided by -23045.\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 4*a - 5. Let w(m) = 5*m - 6. Let h(p) = -6*f(p) + 5*w(p). Let r(z) = -29*z**2. Determine h(r(l)).\nAnswer: -29*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53 + -58 + (-78)\/(-15) - 159\/195.\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-6))\/((-2)\/16*4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (189*c - 221*c + 147*c)*(134 + 18 + 47) to w*c + j and give w.\nAnswer: 22885","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 s when two letters picked without replacement from nggnggsgvntsgsvggtgg?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12219.9 - -12219. What is the second smallest value in -1\/8, w, -38\/7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3 (b) 180 (c) 0 (d) -1\/7 (e) 3 (f) -14\/11\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -42*t - 253. Let g(j) = -120*j - 138. Does 21 divide g(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 + 8*w**2 - 11*w - 126. Suppose -47*y + 974 - 1303 = 0. Determine g(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2491*h - 23. Let g(n) = -1661*n + 14. Give 8*g(b) + 5*y(b).\nAnswer: -833*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 176168 and 1024?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 AM and 5:25 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(4 + 63\/(-15)). Let v(i) = -157*i**2 + 5 - h + 107*i**2. Let q(j) = j. Give v(q(y)).\nAnswer: -50*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 143 and 10318.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 (base 11) in base 14?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2. Let m(g) be the first derivative of -31*g**6\/360 - 7*g**3 + 18. Let w(q) be the third derivative of m(q). Determine w(r(k)).\nAnswer: -31*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 543 and 2870298.\nAnswer: 543","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 160\/(-96)*12\/(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1234819?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 3*k - 33, -16*k + 42 = -11*k - 4*j. Suppose 0 = k*x - 50 - 130. Calculate the highest common factor of 110 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 285651?\nAnswer: 3, 17, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 33 = 2*h + 2, 2*h = -2*q + 22 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/(-189))\/((-41)\/6). Let c = q + -204037\/25830. Find the common denominator of c and (-3)\/8*46\/9.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141 is divided by 139.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 948744*c**2 + 636834*c**2 + 2005999*c**2.\nAnswer: 3591577*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 93*v**3 + v**2 + 7543 with respect to v.\nAnswer: 279*v**2 + 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 AM and 5:23 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -313322 + -11?\nAnswer: -313333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.25, -43, 3\/181, 23 in increasing order.\nAnswer: -43, 3\/181, 1.25, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(114)*-2 + sqrt(114) - ((-5*2*sqrt(114) + sqrt(114) - sqrt(114)) + sqrt(114)))\/(sqrt(150)*-2*2 + (sqrt(150)*1 + sqrt(150))*6).\nAnswer: 3*sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 AM and 2:57 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2205 by 735.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 31\/5 of a hour?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/3 (b) 0.1 (c) 2\/15 (d) 15 (e) -350 (f) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 7. Is (-1 - 0)*c + 60 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 2. Put 4, o, -3 in ascending order.\nAnswer: -3, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*l - 56 - l + 96 - 40.\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -121*m + 2 - 5*m**5 + 127*m + 2*m**5 + (-3*m**3 + 7*m**3 - 2*m**3)*(2 - 2 + 2*m**2) + 10*m**5 + 4*m**5 - 3*m**5 + 3*m**5 - m**5 - m**5.\nAnswer: 13*m**5 + 6*m + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 462389 and 462357 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -49 + 59. Suppose -4*k = -m*b + 5*b - 9332, 2*b - 2333 = -k. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 222 and 56832?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0, -0.9, -12\/17, 0.1, 2, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4*2\/(-4) - 3. Let p be (1\/4 - (-399)\/(-76))*q. Solve -p*y - 17 = r, -r + 10 + 13 = -5*y for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r + 56 = -4*r, -633*q - 4*r + 676 = -809*q - 2*r for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - -4) + 10 + 2 + -8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, u: 1, o: 1, s: 6}. What is prob of sequence es?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22 and 880?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-29 - 18) + (10 + 2 - (22 + -24)) + -10?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*p = 24*p + 95497. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119*h + 38*h - 81*h.\nAnswer: -162*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 10 - 34. Suppose 0 = 5*r - d - 1. Suppose 3\/4*o**r + 3*o**2 - 3\/2*o**3 + 3\/4*o - 3\/2 - 3\/2*o**4 = 0. Calculate o.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 28) + 26 - -20?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3071, -7331, -11589, -15845, -20099, -24351?\nAnswer: -28601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1196*h + 16*h**3 - 1025*h - 171*h - 5*h**3.\nAnswer: 11*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of 6781*d**4\/6 + 1973*d**2\/2 - 901*d + 8. Find the first derivative of l(a) wrt a.\nAnswer: 27124*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1000*h**3 - 59*h**3 + 120*h**3 + 77*h**3.\nAnswer: 1138*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -661.4 - 30124.\nAnswer: -30785.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2235*z + 59*z - 531*z to the form l + w*z and give w.\nAnswer: -2707","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 6766?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.2, 0.2, 33, 35, 2\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by 7.\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v + 4 = 52. Let j = -3 - -7. Differentiate -j*g**4 - 2*g**4 + 0 + v with respect to g.\nAnswer: -24*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 + 21*c**2 - 21*c + 9. Suppose 15*d = 105 - 74 - 361. Determine v(d).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -o - 2*o + 415, 90 = c + 2*o. Let s = c - 57. Let a = s - -42. Calculate the greatest common divisor of a and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1797976 and 1155164.\nAnswer: 2372","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46d21 (base 14) to base 16.\nAnswer: 2a2a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12897 and 93.\nAnswer: 399807","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -980203 by 13.\nAnswer: -980203\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0172*-1987.\nAnswer: -34.1764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 114 - 37. Suppose 203 = 125*p - 96*p. What is the highest common divisor of p and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -323 + 179 = -2*n - 6*n. What is the smallest common multiple of n and (2\/(-1))\/2 + 13?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 40 - 32. Let o(y) = 7 - 2 + y + 0*y. Does 9 divide o(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8167*g**2*k**2*z + 2*g**2*k*z - 90*g**2*l + g*k*z + g + 7*k**2*l - 4*k**2 + 7016*k*l*z + 9*z wrt l.\nAnswer: -90*g**2 + 7*k**2 + 7016*k*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 1\/37, 7, -197, 3 in increasing order.\nAnswer: -197, 1\/37, 1, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cggc. Give prob of sequence gc.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -166954247*u - 150556848.\nAnswer: -166954247","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 5 = 57. Let v = 8 - h. Which is smaller: v or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11)*-3*-2 + (sqrt(33)*-2)\/sqrt(3))**2.\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -f + 2*n - 1, n - 3 = 2*f. Let p be (1\/f - (-250)\/140) + -1. Factor 12\/7*o**3 + 0 + p*o**4 + 0*o + 18\/7*o**2.\nAnswer: 2*o**2*(o + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1, -17, -59, -139, -269, -461, -727, -1079?\n\"Answer: -2*a**3 - a**2 + a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 - -25. Suppose 0 = -2*a + 5*o + 1 + 30, -2*a - 4*o - 14 = 0. What is the remainder when 1\/(0 + 3\/m) is divided by a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b - 2. Let d be m(4). Let r(v) be the second derivative of -1\/12*v**4 + 0 + v - 1\/2*v**3 - v**d. Factor r(k).\nAnswer: -(k + 1)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 3*r**2. Let p(z) = 76*z - 21*z - 25*z - 29*z - 8. Let s(w) = w - 2. Let v(i) = p(i) - 4*s(i). Calculate c(v(x)).\nAnswer: 27*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 27503724523 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6925253?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -23*a**2 + 19*a + 13. Let d(k) be the second derivative of -11*k**4\/12 + 3*k**3\/2 + 3*k**2 - 2*k - 665. Give 13*d(v) - 6*h(v).\nAnswer: -5*v**2 + 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16123.\nAnswer: 23, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47.54475ms to microseconds.\nAnswer: 47544.75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 - 7*a + 4734. Let n be o(0). Let m be 5\/(-2)*n\/(-45). Suppose 5*p = 402 + m. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 0 + 11 + -9\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 5*w + 0*w + 20 = 0, -x = 3*w - 20. Calculate the remainder when 39 is divided by x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d - 5. Let p be i(-8). Let v(l) = l**2 - 2. Let x be v(p). Let u = -8 - -36. Calculate the greatest common factor of u and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/163752 and -47\/327504.\nAnswer: 327504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -939*h**2 - 13*h**5 + 939*h**2 + ((-3*h - 2*h + 3*h)*(2 - h - 2) + 0*h**2 + 2*h**2 + 3*h**2)*(3*h**3 - h**3 + 2*h**3).\nAnswer: 15*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 3*t + 39 = 9, 35 = 5*i + 4*t. Solve -w - 2*w = i for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -3 + sqrt(171).\nAnswer: 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (4 + -9 + 0 + 11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of -x**4\/12 + 5*x**3\/2 - 21*x**2\/2 - 1208*x - 2. Suppose -4*v = -2*v - 18. What is the tens digit of p(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 775405\/26 + -29827. Find the common denominator of i and 47\/104.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 786623 + -0.305901004.\nAnswer: 786622.694098996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21355*g**4 + 2*g**3 - 182635*g**2.\nAnswer: 512520*g + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 2. Let v = -1 + 12. Let p(l) = -15*l**2 + 0 + 14*l**2 - v - l. Calculate p(a).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2049 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 254.7 + -227.7. What is the nearest to 2 in -0.3, t, 9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4674.\nAnswer: 2, 3, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t**3 - 3*t**2 - 7*t - 11. Calculate w(-3).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - 0\/1) + (-136 - -139). Let b(p) = p**2 - 6*p + 1. Calculate b(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24794?\nAnswer: 2, 7, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 53 - 34. Let a = r - 1. Suppose -2*t + 4 = -8. Calculate the highest common divisor of a and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1235*k**3 + 805*k**3 + 425*k**3.\nAnswer: -5*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f - 1 + 1 - 2*f**2 + 0*f**2 + 3*f**2 + 2*f**2 + (7*f - 24 + 24)*(6*f - f - 3*f).\nAnswer: 17*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 126263509\/156951 - 406\/5813. Let q = -804 + j. Find the common denominator of q and 59\/27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 g when three letters picked without replacement from lclgggllalcc?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -298 + 231 + -43 + 6 + 16.\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i**3 - 46*i**2 + 189*i - 1683. Give l(21).\nAnswer: 522","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -371 + 373. Suppose -w + 130 = -h*z - 377, -5*z - 1013 = -2*w. Is w a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 393180310.\nAnswer: 2, 5, 39318031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)\/sqrt(3))\/sqrt(2) + -4 + 1 - ((sqrt(99) - (sqrt(99) + 2*sqrt(99))*-3) + sqrt(99))\/((sqrt(72) - -2*sqrt(72))\/sqrt(8)).\nAnswer: -8*sqrt(11)\/3 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u - 3*u + 5*u)*(u**3 + 2*u**2 - 2*u**2) + (-u - 1 + 1)*(3*u**3 + 0*u**3 - u**3) - 62*u**4 + 3883*u**2 - 3883*u**2.\nAnswer: -62*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**4\/3 + 566*z**3\/3 - 35438*z**2 + 5412050*z\/3 - 88041904\/3.\nAnswer: 2*(z - 47)**3*(z + 424)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -2*j + 5*q, -q - 2 - 2 = 0. Suppose -10 = j*p, 5*o + 4*p = 5*p + 35. What is the least common multiple of (-4)\/6 + (-112)\/(-6) and o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, 87, 1, 60 in increasing order.\nAnswer: 0, 1, 2, 60, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) 7 (c) 8 (d) -7 (e) 3 (f) 1044\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 11, 5, 1, 2, 4, 251 in ascending order.\nAnswer: 1, 2, 4, 5, 10, 11, 251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2 - 5)*(16*y**2 + 0*y**2 + 5*y**2) - 4*y**2 + y**2 + y**2 + (y - 5 + 5)*(y - 3*y - y) as l*y**2 + s*y + p and give l.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence owvn when four letters picked without replacement from twtoooiovowovno?\nAnswer: 1\/1170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 13128 to the power of 1\/2, to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*-5*3\/(-390).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 364769378?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -172144, -688583, -1549308, -2754313, -4303592, -6197139, -8434948, -11017013?\n\"Answer: o**3 - 172149*o**2 + o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1757450?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -15.9805 to two dps.\nAnswer: -15.98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {h: 3, m: 5}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 + 8*x + 3. Let w be h(9). Let i = 18 + w. What is the remainder when 26 is divided by i - (2 + 0)*-1?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 - 5*n**2 - 3*n + 5. What is r(4)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144351 is divided by 52.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of -13*y**5\/60 - 4*y**2. Let o(n) be the first derivative of -n**3\/3 + 4. What is v(o(w))?\nAnswer: -13*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.38 + 0.08. Let j = 4 - 0. Let s = j + -2. Which is the third smallest value? (a) s (b) x (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.1 - 3. Let h = 139.45 + -135. Let g = 0.45 - h. Is g not equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of 9\/35*k**7 + 0*k - 25\/2*k**4 - 1\/112*k**8 - 61\/40*k**6 + 49*k**2 + 0*k**3 - 9*k**5 + 0. Factor n(x).\nAnswer: -3*x*(x - 10)**2*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/1592 and -49\/4577.\nAnswer: 36616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 746281374?\nAnswer: 2, 3, 124380229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (1 - -4) - -2 - (-1 + 5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n**2 + 2293*n - 3*n**2 - 2293*n.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2798059, 5596084, 8394073, 11192026, 13989943, 16787824, 19585669?\n\"Answer: -18*d**2 + 2798079*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - 1 - (-1 - 1). Suppose -q - q + 244 = n. Suppose 0*c - 3*c = -5*d + q, -d + c + 26 = 0. Is d a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 19*z**2 - 1 + 1.\nAnswer: 19*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -32069300665780135039\/863304 + 37147170250322. Let j = d + 2\/35971. Find the common denominator of j and 29\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -625, -7823, -9.\nAnswer: -7823, -625, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110101101111110 - 10?\nAnswer: 110101101111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of b**4\/6 - 6*b - 1. Let r(y) be the third derivative of -7*y**5\/20 - y**2. Calculate r(l(n)).\nAnswer: -84*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vdfdvwvzdzwd. What is prob of picking 1 w, 2 v, and 1 d?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1989019?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum 460753585 and 8.9.\nAnswer: 460753593.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 7995\nAnswer: -15990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (0 + 10 + (-18 - -10)) - -8\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -13253265 divided by -933\nAnswer: 14205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*y + 149*y - 5*y to the form f*y + k and give f.\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/6954 and 31\/42?\nAnswer: 48678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -32 + 5. Calculate the least common multiple of y and 21.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (867\/56)\/3 + 0. Let w = 37\/7 - b. What is the biggest value in -4, 1, w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4507 + 4501. Let d(y) = y**2 + 8*y + 16. What is d(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*l**2 + 12*l**2 - 8*l**2 + (-1 + 1 - 3*l)*(l + l - 4*l) + 3 - 2*l**2 + 13*l - 13*l.\nAnswer: 15*l**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 3)*((-o + 2 - 2)*(-2*o**2 + 2*o**2 - o**4) + 167 - 167 - 28*o**5) + 5*o**5 + 0*o**5 - 3*o**5.\nAnswer: 29*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2609*l**2 + 625*l**3 + 2608*l**2 - 586*l**3.\nAnswer: 39*l**3 - l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.0586? (a) 40 (b) 1 (c) -2 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -613, -2457, -5535, -9847, -15393, -22173?\n\"Answer: -617*v**2 + 7*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -3389*o + 1567. Is j(-128) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -455 (b) 4 (c) 3 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and ((-2)\/(-3))\/2*30.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 4*q - 4*c, 3*c = 3*q - c - 28. Let p(o) = o**2 - 2. What is the units digit of p(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 387?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/2 - (-73 - -82).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, b: 3, h: 2, w: 4}. What is prob of picking 1 w and 1 b?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - -8. Find the first derivative of -4*y**4 + 0 - b + 3*y**4 wrt y.\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69676121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z + 0*z - z - 193*z + 28 - 28 + (2 + 3 - 4)*(2*z - 4*z + 0*z) - 5*z + z - z.\nAnswer: -199*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2621 divided by -6?\nAnswer: -2621\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**2 + 0*d**2 + 0*d**2 + (3 - 2*d - 3)*(-3*d + d + 10*d).\nAnswer: -18*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -2*n - 6. Let f be (4\/6)\/(n\/9). Suppose -j - 1 - 1 = 0. Is j at least f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32.823 - -0.177. Let u = -39 + g. What is the closest to u in 0.2, 2, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*b + 34 = 19*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 0.01 (b) 0.16 (c) 2\/7 (d) 556 (e) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -0.1 (b) 2535 (c) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = n - 0*n + 4652, 5*f - 5815 = -4*n. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 1 + sqrt(363)*-2)*5 + (sqrt(363) - (-3*(sqrt(363) + 2 + sqrt(363)) - sqrt(363) - sqrt(363)) - sqrt(363)) + 1 + sqrt(363) + 4 + sqrt(363).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 222\/11 - 26\/143. Let b be (l\/(-8))\/5*2. Is 4 bigger than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 897\/45 - (23\/(-253) + 28\/1155)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 - 12*o**2 - 2*o - 17. What is the lowest common multiple of 7 and h(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 6 - 10*z**2 - 2.\nAnswer: -10*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.27 * -9\nAnswer: 2.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, i: 6, u: 3, b: 4, g: 5, e: 1}. What is prob of sequence ie?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**(-6)\/x*x**(12\/11)*x*x*(x*x**(-7\/6)\/x*x)\/x*x\/(x*x**17)*x*x assuming x is positive.\nAnswer: x**(-1259\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + -4 - 1 - -7) + 8.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 174 = -50*a - 267 - 9 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/7*x + 1\/7*x**2 + 0 - 1\/7*x**3 = 0. What is x?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/3))**20*(y\/y**0*y)**8)**26 assuming y is positive.\nAnswer: y**(2288\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x*x\/x**(1\/5)*x*x)\/x)**(-32) assuming x is positive.\nAnswer: x**(-768\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) + -6*(2*sqrt(78) - sqrt(78)) + sqrt(78))*-3*1)\/(-5*sqrt(72)\/(sqrt(432) + sqrt(48))).\nAnswer: -96*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7290838 is divided by 53.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -255000 + -31323?\nAnswer: -330323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*t + 24*t = 65*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 240 and 492.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 886751*n**2 + 765425 wrt n.\nAnswer: 1773502*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 PM and 5:22 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-7\/5))\/(f**(-1\/11)\/f))\/(((f*f\/(f\/(f*f\/f**15*f*f*f))*f*f)\/f)\/f*f**11*f) assuming f is positive.\nAnswer: f**(27\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*s - 5*s + s)*(1 - 3 + 0) + 5*s + 0*s - 2*s - 1 - 4*s + 1 + 3*s + 2*s + 1 - 4*s to the form p*s + l and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30 + 9. Let z = 26 + u. Suppose -18 = z*w - 353. Round w to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14414, 14415, 14416?\nAnswer: 14417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.06 in -3, 61, -5\/6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54883?\nAnswer: 71, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c - 1022226 + 512098 + 510128.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 43*v = -466 - 98 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 20\/6681 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v - 3*v - v**5 + 2*v**5 + 3*v**3 - 3*v**3 + (0*v**4 + 5*v**4 - 2*v**4)*(-10 + 10 - 6*v).\nAnswer: -17*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25278981, 50557961, 75836939, 101115915, 126394889, 151673861?\nAnswer: 176952831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3193\/47110 - 36\/673. Let x(i) be the third derivative of 0*i**6 + 11\/6*i**3 + 0*i + 0*i**4 + 0*i**5 + 0 + d*i**7 - 15*i**2. Differentiate x(c) wrt c.\nAnswer: 12*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -98622.\nAnswer: 29586.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4550*d + 4537*d = -143 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(3\/(-142))*((-206)\/(-4))\/103.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 376871 is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-4 - 37) - 26\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72 - (-39 + 62 - (24 - 32)).\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 150 and 1575?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -17*z**2 + 4040*z + 1420. Give m(238).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18166 - 17739. Calculate the least common multiple of 546 and c.\nAnswer: 33306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12103 + -111?\nAnswer: -12220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1023043?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80365740?\nAnswer: 2, 3, 5, 7, 13, 41, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/9)*k*k**(-1\/5)*(k*(k**(1\/3)*k)\/k*k)**(-49))**15)**14 assuming k is positive.\nAnswer: k**(-71456\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -73*m + 232*m + 64*m + 18*m + 218*m as a*m + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5364 - -159493.\nAnswer: 154129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2226 and 36?\nAnswer: 13356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 134?\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 16477 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of -7*o**6\/540 - o**5\/36 + o**4\/18 + o**3 + 7. Let t(n) be the third derivative of l(n). Factor t(h).\nAnswer: -2*(h + 1)*(7*h - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 274465?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -97 and -283 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -5*z + 308, 0*n + 5*n = -2*z + 728. Does 8 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*194735674\nAnswer: 584207022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 530 and 12370.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -4*o**2 + 1008*o - 16848 = 0?\nAnswer: 18, 234","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 111487.98 rounded to the nearest 1000?\nAnswer: 111000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.032 and -11?\nAnswer: -0.352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1344 + -66327?\nAnswer: -67671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -s**4 + 161*s**3 - 4919*s**2 - 42665*s = 0.\nAnswer: -7, 0, 53, 115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.06421 + 111.94421. Let g = m + -112. Which is smaller: g or 7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q**2 - 411*q + 1730. What is r(4)?\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 10*t. Let x(p) be the second derivative of -p**6\/720 - p**4\/3 - 5*p. Let g(n) be the third derivative of x(n). Calculate b(g(f)).\nAnswer: -10*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*n - n - n to i + c*n and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 90299 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-5) + 342\/(-15). Let j = -26 - m. What is the remainder when 8\/(-2) - (j - 100) is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 4*z - 2. Let w(s) = -s + 1. Let u(q) = -n(q) - 2*w(q). Let f(d) = 4*d. Determine f(u(x)).\nAnswer: -8*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 536 is divided by 255.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13449815 to the nearest integer?\nAnswer: 3667","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3605, -3062, -2159, -896, 727?\n\"Answer: 180*p**2 + 3*p - 3788","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 6*z + 8. Let l be o(6). Calculate the least common multiple of l\/6*(-3)\/(-2) and (-7)\/(2*1\/(-2)).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 548099 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3\/3 - 34256*r**2\/3 + 1333536*r.\nAnswer: -2*r*(r - 116)*(r + 17244)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -430086 (base 9) to base 2\nAnswer: -111110011111010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-6*(sqrt(152) + sqrt(152)*-2)*-6)\/(5*(sqrt(200) + -1*sqrt(200) + sqrt(200) - sqrt(56)\/(1*sqrt(7)))).\nAnswer: -9*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*4\/20 - -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(20)\/sqrt(4)*2)**2*-4 - (sqrt(100)\/((2*sqrt(125) - sqrt(125)) + sqrt(125)))**2.\nAnswer: -421\/5 + 16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 220 + -96. Suppose 9*k - f = 5*k. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6\/17 + -4\/85. Let o(s) = 2*s + 2. Let x be o(5). Let u(p) = -p**3 + 11*p**2 + 12*p. Let f be u(x). Which is greater: f or d?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -384*s + 1115*s - 804*s**2 - 134*s**2 wrt s?\nAnswer: -1876","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 x, and 1 l when three letters picked without replacement from {c: 2, y: 4, l: 8, x: 3}?\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**3 + 1540*y**2 + 94685*y + 353780.\nAnswer: -5*(y - 361)*(y + 4)*(y + 49)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 1, 15 in increasing order.\nAnswer: -5, -2, 1, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 0*o = i + 13, 0 = 2*i - 2*o + 10. Let x be (2 + 32\/(-10))\/((-912)\/(-160)). Which is bigger: x or i?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000047 to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from iduiddwd?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*f - 19. Suppose 3*g + 8 = -u, g = u + 2 - f. What are the prime factors of (6\/4)\/(u - 68\/72)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 8*f + 248. Let p(g) = -g - 62. Let i(n) = -4*p(n) - v(n). Let l(a) = 4*a**2 + 27. Determine l(i(y)).\nAnswer: 64*y**2 + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1.94, 18, 24\/7, 0.5?\nAnswer: -1.94","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 14441168 (base 9) to base 4\nAnswer: 123112333031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 + (7 - 1) + -1. Let f(g) = -g + 1. Let i be f(-3). Let 7*n**2 + n**i + 4*n**2 + k - 2*n**2 - 7*n - 5*n**3 = 0. Calculate n.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/(-3))\/((-14)\/(-21)) + 6. Solve -r + 10 = -v*r + 4*k, 3*r - 5*k + 11 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-7*(-68)\/(-2499))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 2*t = -3*t - 38, 0 = -4*l - 2*t + 170. Let m(u) = l - 18*u - 1 - u. Let p be m(-8). What is the greatest common factor of p and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2815.5168 months in years?\nAnswer: 234.6264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 11 (b) 5 (c) -0.2 (d) -1\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: f (base 16) to base 6\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71 is divided by 64?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -175427 or -175426?\nAnswer: -175427","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -4*f**3\/3 + 1084*f**2\/3 - 93280*f\/3 + 822800 = 0.\nAnswer: 51, 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 247294, 494593, 741892, 989191?\n\"Answer: 247299*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((3\/5)\/(1008\/(-80) + -11 - -15)).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 + 15. Put -2, -2\/5, r in decreasing order.\nAnswer: -2\/5, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*h + 54*h - 22*h - 5*h**3 to u + z*h**2 + a*h + q*h**3 and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 56985 a multiple of 131?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 23*d**2 - 6*d**2 - 7*d**2 - 7*d**2. Let j(y) = -7*y**2. Calculate j(a(o)).\nAnswer: -63*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 961 + -960.9439. Round s to three decimal places.\nAnswer: 0.056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/1360 and 97\/340?\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pppf when four letters picked without replacement from {f: 3, u: 1, p: 3}?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 2*l - 229750 = 0. Let u be (-657065)\/l + -1 + -1. Let o = 2\/4595 + u. What is the common denominator of o and 8\/9?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -4*i - 3. Let a(t) = 3*t + 2. Let r(c) = -3*a(c) - 2*y(c). Let v be r(0). Suppose 0 = 5*b - 4*m - 4, 1 = 2*b - 3*m - 2. Solve v = -b*w + 5*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of 17*s**3\/3 + s**2\/2 - 13*s + 42. Is z(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*t + 0*t - t + t.\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 10. Let d(b) = 2 + 0 - 79*b - 1 - 4. Let j be d(f). What is the highest common factor of 26 and j?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 + 13*g + 23. Give q(15).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -57236.186 and -7.\nAnswer: -57243.186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**2*d)**(-7)*(((d**9\/d)\/d*d*d)\/d)\/(d*d**(1\/4)) assuming d is positive.\nAnswer: d**(-85\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*z**3 + z**3 - 3*z**3)*((-7 + 15 + 8)*(4 - 3 - 2) + 1 - 2 + 0) as s + a*z**2 + m*z**3 + f*z and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c, 1 h, and 1 i when four letters picked without replacement from {r: 1, c: 7, h: 1, i: 9}.\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 254*i**3 + 248*i**3 + 257*i**3 + 282*i**3 - 1567*i**3 + 254*i**3 + 252*i**3.\nAnswer: -20*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of t**4\/12 - 4*t**3\/3 + t**2. Let v(b) = -b - 7. Let x be v(-13). Give l(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 2*l = 23, 27 - 8 + 7 = -2*x - x + 5*l for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 56 + w**2 - 43 + 12*w + 3*w**2 - 3*w**2. Let s be c(-10). Let b(h) = -4*h - 17. Does 3 divide b(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1320331 (base 4) to base 16\nAnswer: 1e3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2965, -5924, -8883, -11842?\nAnswer: -14801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1174 - 1070.06. Round k to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 PM and 7:51 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 39\/(-1)*(-25)\/((-825)\/(-366883)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 - 3*d**2 - d + 6. Let j be l(3). Suppose -319 = j*m + 125. What is the hundreds digit of 18 - 15 - (m + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 412, 4, 0.4, -4, 2\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (90\/81)\/((-27)\/((-6561)\/468)*(-9)\/(-12)).\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-44)\/24 + 2 - (-994)\/84. Let n(h) = 4*h**3 + 2*h**2 - 2*h + 1. Let i be n(1). Let m = k + i. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.57 - 2.27. Let m = n + 0.3. Let f = -1.39999978 - m. 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: Suppose 2*g + 2 = z, -4*z - 1 + 3 = -2*g. Let t be z\/((-1)\/((-3)\/(-3))). Suppose 2*l = -t*l + 70. Calculate the remainder when l is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 - (0 - -1)) + 13. Suppose 13 + 17 = k*h. Find z, given that -25\/3*z + 5\/3*z**h + 10 = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 3 t when four letters picked without replacement from {t: 4, i: 5, e: 6}.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 330, -4425, 4 in ascending order.\nAnswer: -4425, 4, 330","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -79504 (base 13) to base 5\nAnswer: -24024144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2935 + -38159\/13. Let v = 2 - -2. Let c = v - 4.2. Put k, 5, c in descending order.\nAnswer: 5, c, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, -5, -19, -39, -65?\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of -l**4\/6 + l**3\/2 - 3*l**2\/2 - l. Let p be o(2). Is -4 at least as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2789440?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2789017594 to the power of 1\/3, to the nearest integer?\nAnswer: 1408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - -1) + 8 + -11. Let g be (-3)\/(-6)*(-48)\/l. Let y be 87 - (-5 - -3)\/2. What is the greatest common factor of y and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -7*b**3 - 40*b**2 - 23*b - 205. What is x(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(1\/2))**(-15\/2)\/(i**6*i*(i\/(i**(-3)*i)*i)\/i))**(-7\/3) assuming i is positive.\nAnswer: i**(385\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.11*3963548.\nAnswer: -435990.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - 4*u + 0*u)*(-4*u + 2 + 2*u - 4*u) + (0*u - u - 6*u)*(3*u + 2*u - 4*u).\nAnswer: 5*u**2 - 4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = d. Suppose -4*z + 28 = -4*o, 2*z - 3*o - o - 20 = d. What is the remainder when 10 is divided by z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30 + -27. Suppose t = 3*g + 34, -4*t + 75 + 16 = k*g. Find the third derivative of -34*b**2 + 46*b**4 - 46*b**4 - t*b**6 + 0*b**2 wrt b.\nAnswer: -3000*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/10 + (-136)\/(-340). Let k(l) = 24*l + 1251. What are the prime factors of k(i)?\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1943019611 to the power of 1\/6, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-408)\/(-90))\/((-39648)\/(-127440))?\nAnswer: 102\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 - 16. Suppose 0 = 2*o - 5 - 15. Let g be 0 - o\/6 - -1. Which is the smallest value? (a) f (b) 4\/3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 160 + 390 = 0. What is the highest common factor of 66 and b?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 5, 5, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1.71*-8439\nAnswer: -14430.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 5*i - 2*f, -2*i = -f - 0 - 13. Let o be i - 5\/(-15)*-9. Suppose -5*r + 45 = -5*s, -5*r + 16 = o*s - 1. Is r even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 768 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*w + 20*w = 3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 20011002120200 (base 3) to base 5\nAnswer: 1314104014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -462 + -2?\nAnswer: -464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20*10\/(-24)*270\/675?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 3 = -2*j. Let t = -1390 - -4207\/3. Let l = t + -13. What is the third biggest value in l, -5, j?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1902735 divided by 126849.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 1, 1\/3, -2, 808\/327, 0.5?\nAnswer: 808\/327","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (76 + -26)\/((-1)\/(-165400)). Round b to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 9, k: 5}. What is prob of sequence kkrr?\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 128428?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91778 is divided by 52?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 PM and 2:17 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3798 + -3798.1304. Which is smaller: i or 0.2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2062004*p - 2 - 34*p**3 + 20*p**2 - 2062004*p to the form l*p**2 + q*p**3 + w*p + i and give q.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/100122 and 89\/666.\nAnswer: 300366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 + 7*v**2 - 15*v + 48. What is d(6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-45)\/(-6)*16\/6. Suppose p = -4*r - r. Let s be (10\/(-4))\/(-1)*-2. Sort r, s, 4.\nAnswer: s, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 153*l**2*o**3 + 3*l*o**3 - 16*l*o**2 + 6203*o**3 + 3*o**2 + o wrt l.\nAnswer: 306*l*o**3 + 3*o**3 - 16*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2 + 2176*r + 35328.\nAnswer: -2*(r - 1104)*(r + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 116350 divided by 179\nAnswer: 650","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9990 and 540.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 46.9304 centuries?\nAnswer: 56316.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is ((51002\/12)\/7)\/(2\/12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 4 = m + d, d = -4*m - 3. Let h be (4 - 3) + (2 - m). Suppose 4*g = -9*u + h*u + 385, -5*u - 245 = -3*g. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -500127, -500173, -500223, -500277, -500335?\nAnswer: -500397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-196)\/(-245) + (-4)\/5. Let q = -1\/37 + 46\/333. Put 3, -7, l, q in decreasing order.\nAnswer: 3, q, l, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 80 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -232*z**2 - 10396*z + 2012. Calculate q(-45).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 180 + -58. Let m = -62 + k. Suppose c = -2*g + m + 77, 3*c - 3 = 0. Calculate the highest common divisor of g and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68.371749 microseconds to days.\nAnswer: 0.0000000007913396875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -41\/132 - -2\/33. Let y(p) = p**2 - 2*p - 9. Let u be y(4). Let o be 5 + -4 + 2 + 2. Which is the nearest to u? (a) o (b) -5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g**2 - 9*g - 13. Let q be z(-4). Let n be (-3)\/9 + q\/(-27). Solve n*s = -s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 414 is divided by 366.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ovr when three letters picked without replacement from gpprvvo.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1323?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -336203 or -336192?\nAnswer: -336192","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -107*c + 773. Does 2 divide s(-22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9534.23 + 4461.\nAnswer: -5073.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -4*w + 2018. Is b(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yaayimaayhmmamy. Give prob of sequence imhm.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3 and -446410.\nAnswer: -446407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17564768?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 78 - 46. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-80)\/30)\/((-1)\/3). Suppose -5*m = -2*q, 0 = -3*m - 3*q + 29 - b. Solve i = y + 7 - 0, 4*y + m*i = 2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**5 - b**5 + 3*b**5 - 1 + 1 - 2*b**5 - b**2 + 2*b**5 + b**2 + (3*b - 2*b**4 - 3*b)*(b + b - 4*b) + (3 + 8 + 2)*(5*b**5 + 0*b**5 - 6*b**5).\nAnswer: -7*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -23? (a) 4 (b) -0.4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (6 + -2) - (8 + -10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (31 - -17 - 56) + -20\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**5\/3 - 1004*w**4\/3 - 2326*w**3 + 1004*w**2\/3 + 6979*w\/3 = 0. What is w?\nAnswer: -997, -7, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2845*a - 14180. Calculate y(-5).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9092742*k**3*u*y - 2*k**3*y - k**2 + 237*k*y - 13*k + 2*u*y - 517*u wrt k.\nAnswer: 54556452*k*u*y - 12*k*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -180 + 60*x + 163 - 14*x**3 - 60*x.\nAnswer: -14*x**3 - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 1 = -5*o - 1, -30 = -4*t - 2*o. Suppose 4*w - 77 = -5*h, 2*h - 31 - 10 = -5*w. What is the remainder when h is divided by t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fifteen quarters of a hour?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -20\/760323?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40.1487*-9.1.\nAnswer: -365.35317","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.3 and 1982.\nAnswer: 1982.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 2)*(2*t - t + t + (1 + 0 + 0)*(-3*t + 2*t - 2*t) + 2 - 2 - 2*t).\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-13 - -21 - 8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-224)\/(-12))\/(-7) + 3. Let y = 0.1 - -0.9. Let v be (-1)\/(-3) + (-13)\/(-6). What is the closest to y in 2, v, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121 = -42*a + 5. Let m(n) = -n - 4. Let f be m(-12). Suppose -f*v + 12 = -5*v. Solve 2*d + 18 = -v*h, a*d + 3 = -4*h - 14 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 171070777?\nAnswer: 5813, 29429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**3 + 15*x**3 - 5*x**3)*(3*x**2 + x**2 + 0*x**2 + (-4*x + 4*x + 2*x**2)*(9 - 3 - 4)).\nAnswer: 96*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -192*h + 1064 = 1827 + 2117 for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2369*h**3 + h**2 + h - 1. Let s be d(-1). Let c = -1366 - -2746. Let z = s + c. What is z rounded to the nearest one hundred?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37 + -117 - -140 - (3 - (-10 + 1) - 2).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(2112))\/(sqrt(108) - sqrt(108)*-1).\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(100))\/sqrt(2) + -3 - (sqrt(22)\/(sqrt(11)*1) - sqrt(150)\/sqrt(3)).\nAnswer: -3 + 29*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 + 74*t - 1508. Determine f(-91).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -429.8 - -246.8. Put 1, 1\/2, k, -0.2, -2\/3 in descending order.\nAnswer: 1, 1\/2, -0.2, -2\/3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 540 + -246. Suppose 3*m + 4*u - 2*u = o, 5*u + 415 = 4*m. Let n = 27 + -17. Calculate the greatest common divisor of n and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of 0*s - 17\/30*s**6 + 124*s**2 + 0 - 41\/30*s**5 + 0*s**3 + 0*s**4. Find the third derivative of w(x) wrt x.\nAnswer: -408","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*l - 3*l + 7*l)*(-6 + 26*l + 6) - 3*l**2 - 3*l**2 + 2 + 3*l**2.\nAnswer: 257*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -7*g - 10. Which is the biggest value? (a) -4 (b) -1\/3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*i - 3*i**2 + 3*i**2 + 2*i**3 + 78*i.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 - 6*f - 153. Let p be n(0). Let j = 104 - p. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (32\/3)\/((-1)\/(-3)). Let g be 378\/(-56) + 7 - 143\/(-4). Let d = g - i. Which is greater: d or 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of -5*j**8\/56 - j**6\/30 - 92*j**5\/5 + 31*j**4\/4 - j**3\/6 + 16*j**2 - 7161*j. Find the third derivative of d(b) wrt b.\nAnswer: -600*b**3 - 24*b - 2208","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 + 11*x**2 - 21*x + 24. Does 4 divide w(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -12805.69 from 1.\nAnswer: 12806.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/4)\/((-26)\/(-208))*-2*(-9)\/(-612)?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 10*n. Let d(j) = 65*j**2. Determine l(d(s)).\nAnswer: 650*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, j: 3, f: 3, p: 2, d: 3, x: 3}. Give prob of picking 1 k and 1 f.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 - -22. Find the second derivative of -363*x**2 - r*x**5 + 7*x + 363*x**2 wrt x.\nAnswer: -120*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 - 9059*a**2 + 27186*a - 1. What is g(3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 688882049.\nAnswer: 5503, 125183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 656 and 34832.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1213 + 313102232?\nAnswer: 313110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.209159km in millimeters?\nAnswer: 8209159","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.03, 1\/19, 4, 0, -146 in descending order.\nAnswer: 4, 1\/19, 0.03, 0, -146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - -9 - (-6 + (14 - 5)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-542750)\/(-104) - -2*4. Let g = o - 3491413\/668. Find the common denominator of -23\/8 and g.\nAnswer: 1336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27516?\nAnswer: 2, 3, 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x**2 - 118029*x = 0. Calculate x.\nAnswer: -39343, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-16 - -15)*1*-9. Suppose -w = 2*r - x, -5*w + 2*r + 3 = -2*r. Suppose 0 = m - w*n - 0 - 14, -2*n = 8. Solve 5*b = -3*o - 1, 2*b = 3*o - m*o - 7 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1778437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 718 - 691. Solve -2*q + x + 10 = 0, -2*q + 7*q - 3*x = v for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8258.184um in centimeters?\nAnswer: 0.8258184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 157\/42 and 60\/(-8)*50\/72 - 1.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 11 - 11 + 10*z. Let f = -5 + 7. Let k be q(f). What is the greatest common divisor of k and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 37.6 and -117374?\nAnswer: -4413262.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -9 (b) 114 (c) 0.09 (d) -0.13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -218 - 205. Is 47 a factor of (k\/36)\/(2\/(-40))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.26 + 0.04. Let n = 12 + -16. What is the second smallest value in n, x, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1386450 and 92430?\nAnswer: 1386450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c**5 + 10365*c**4 + 493055*c**3 - 5710425*c**2 + 14927000*c = 0. What is c?\nAnswer: -2024, -59, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -4. Let h(m) = -29 + 0*m**2 + 29 + m**s. Let k(v) be the first derivative of 2*v**3\/3 + 1. Give k(h(g)).\nAnswer: 2*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of -29*g**7\/42 + 16*g**3\/3 - 11*g + 24. Let i(q) be the first derivative of n(q). What is the second derivative of i(o) wrt o?\nAnswer: -580*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -46351*a**3 - 46361*a**3 + 35 - 129*a + 92711*a**3 + 36*a**2. What is n(32)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d. Let p(v) = 3565458*v**2. Calculate i(p(u)).\nAnswer: -3565458*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of 4*y + 4 - 1\/2*y**2. Let w be u(3). Solve 4 - w = -o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 408*r**2*x*y**2 + r*x*y**2 + 4*r*x*y + 47*x - 3*y**2 + y + 2 wrt r.\nAnswer: 816*r*x*y**2 + x*y**2 + 4*x*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, 15, 2931 in decreasing order.\nAnswer: 2931, 20, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -84 (b) 3\/8 (c) -48\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-8\/5))\/(x*x**(-5\/7)) assuming x is positive.\nAnswer: x**(-31\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 958*b + 1815 = 837*b for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1975830.6 months to decades.\nAnswer: 16465.255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g + 9. Let q(v) = -9*v + 731. Give -4*p(n) - q(n).\nAnswer: n - 767","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 + -6. Let v = q - 11. Solve 3*x - 3*d + 15 = 0, v = -2*x - d - 4 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/5 of a kilogram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 15 - 11. Suppose 5*z - 3 - 6 = -o, -3*z = 4*o - 19. What is the second smallest value in o, y, -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 500146660 a multiple of 105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of 8*o**2 + 47*o + 21. Is v(11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 342384737 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1028 + 2057 - 3*k**3 - 1029.\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*k - 105 - 138 = 0. What is the remainder when 117 is divided by k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 78 + -230\/3. Let z = 26.49 + -26.59. What is the third smallest value in 0, z, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -13*u**2 + 19*u - 1. Give t(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 4*i - 30. What is the remainder when 37 is divided by i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, 243, 0.4, -3\/2, 2\/3?\nAnswer: 243","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(33)\/sqrt(3) + 3)**2.\nAnswer: 12*sqrt(11) + 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - 6. What is the third derivative of 2*n**2 + 2*n**4 - m*n**4 - n**4 wrt n?\nAnswer: -48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6396 and 4485.\nAnswer: 735540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 - 9*h - 3. Let m be f(-5). Let w = m + -13. Suppose -2*d = -w*a - 6, -d + 3*d - 9 = a. Solve 2 = -2*s, 3 = 4*q - d*q - 5*s for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-1 + -2 + 3*sqrt(720))**2*1.\nAnswer: -216*sqrt(5) + 6485","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 81 = q. Suppose -2*m = -4*f + 9 + 97, 2*f - 5*m = 33. Suppose t = 25 + f. Calculate the greatest common factor of q and t.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 97*h**2*o + 4*h**2 - 15 wrt o.\nAnswer: 97*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*1*(-80)\/(-840)*-7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1908911913?\nAnswer: 3, 636303971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/(27\/6 - 3). Suppose -a = -5*w + 3*w. Solve -4*v + w = -2*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/369 bigger than 21657?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40 and 68?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 11) to base 3\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 60, 122, 218, 360, 560?\nAnswer: 830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2353452145 + -54?\nAnswer: -2353452243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 7329.1883 to the nearest 100.\nAnswer: 7300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17)\/((-5865)\/(-45))*(-98)\/(-147)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - 41?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15? (a) -0.019 (b) -3 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1134267259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.197315us to seconds.\nAnswer: 0.000003197315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 693\/(-7)*((-21)\/15)\/(42\/70). Calculate the highest common divisor of 561 and v.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -963, 0.5, 1\/3, 0, -235 in descending order.\nAnswer: 0.5, 1\/3, 0, -235, -963","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144071?\nAnswer: 144071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 99423*j + 99430*j - 198853*j - 32*j**4 + 2*j**2 + 6098 wrt j?\nAnswer: -128*j**3 + 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 81, 4\/7, -0.03, -4 in increasing order.\nAnswer: -4, -0.2, -0.03, 4\/7, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 721891801 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Is 23000687 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50\/(-4)*7\/70*132\/(-3).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 40*w**3 + 4*w**2 - 6*w + 9. Let i(z) = 47*z**3 + 4*z**2 - 7*z + 10. Let u(y) = 6*i(y) - 7*s(y). What is u(3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 3*s - 5 + 6*s)*(-3 + 3 - 2*s).\nAnswer: -6*s**2 - 14*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 242, 244, 246, 248?\nAnswer: 250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**3 - 280*h**2.\nAnswer: 5*h**2*(h - 56)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2519 a factor of 54153169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2\/(-18))\/(4\/12))\/(-2)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17745 is divided by 1350?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 3*v - 66 = -7*m, 5*m - v - 88 = 0. Calculate the remainder when m is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of -2087*j**3\/6 + 2396*j**2 - 5848*j. Differentiate m(f) with respect to f.\nAnswer: -2087","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5347168.\nAnswer: 2, 167099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 j when two letters picked without replacement from rzzjrrr.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1088 (base 10) in base 3?\nAnswer: 1111022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 2316*u**2 + 18 - 14.\nAnswer: -2316*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**4 - 4435*n**3 - 39858*n**2 - 106240*n - 70816.\nAnswer: -(n + 1)*(n + 4)**2*(n + 4426)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wppw when four letters picked without replacement from fpwfffwpfp.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.4, 7371, 3, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 757, 6161, 20821, 49363, 96413?\n\"Answer: 771*n**3 + 2*n**2 + n - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 58?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2*(-3)\/(-12)*-4. Suppose l*q = 3*q + 4. Is q\/(-16)*2*8 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence io when two letters picked without replacement from {o: 3, n: 1, i: 1, y: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 38593 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 58436 and 205072?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 4*y**3 - 9*y**2 + 173*y - 329. Determine f(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 12*b = -8 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -670, -751, -832, -913?\nAnswer: -994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -2*q - 17. Suppose 0 = r - 4*m + 8, r + 3*r + 4 = q*m. Suppose 2*h + 12 = -r*h. Is h at least -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -30 + -1425065?\nAnswer: -1425125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum 150731788 and 3.336425.\nAnswer: 150731791.336425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6725 is divided by 143.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 162, 0.43, 3, -1\/5, -1, -2\/9, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 284 divide 852?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22*i**3 + 13*i + i**2 - 2*i + 1 - 6*i + 2*i wrt i?\nAnswer: 132*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ltqxzllllztqlxllt. Give prob of sequence qz.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 + 12 - (-10 + -3 + 6).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-4)\/(-12)*-1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2 = -2, 0 = -3*w - 4*o + 2. Do 6 and w have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12890*b**3 + 12607*b**3 - 25498*b**3.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28034706 and 101094.\nAnswer: 1218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.03414016941 + 7.\nAnswer: 9.03414016941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 3*i - 0*i - 5*g, -2*i - 3*g = 15. Let j be (i\/2)\/(13 - 11). Solve j = -2*o - 10 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 4 + -41 + 16 + 2\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + (-305)\/(-161) + 0. Let w be 76750\/(-14168) + 1\/(-4). Let y = w + v. What is the common denominator of y and 27\/4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.5308496 rounded to 2 dps?\nAnswer: 8.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.8 + -0.96. Let n = -0.36 - m. Let o = 0.4 - 0.3. What is the nearest to o in n, 4, 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of 3*q**5\/100 - 3*q**4\/20 + q**3\/5 - 8*q + 2. Factor c(z).\nAnswer: 3*z*(z - 2)*(z - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48917 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.23 and -1921.\nAnswer: -1920.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 128*t. Let k(c) = -c + 36. Determine k(z(r)).\nAnswer: -128*r + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -42829*y. Let s(g) = 5153*g**2. Determine x(s(f)).\nAnswer: -220697837*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of m**5\/135 + m**4\/12 - 5*m**3\/27 - 15*m**2 - 4*m + 5. Let g(f) be the first derivative of c(f). Suppose g(d) = 0. What is d?\nAnswer: -5, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 at least -120?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 613559 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 1136488?\nAnswer: 2, 142061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 - 36*g + 83. Let j be f(-38). Suppose -j*t = -3*t - 4720. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**(-3)*o\/(o\/(o**(-5)*o))*o*o**(-7)\/(o\/o**(3\/7)) assuming o is positive.\nAnswer: o**(-88\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -5. Let l = r + -3. Let v be (-4)\/5*525\/(-1890). Which is the closest to 2? (a) l (b) v (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17229649?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkpukrkkupbkkkpkp. Give prob of sequence rpbu.\nAnswer: 1\/7140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -31*c**2 + 1. Let h(y) = -1719*y - 12*y**2 + 1719*y + 18*y**2. Calculate h(a(v)).\nAnswer: 5766*v**4 - 372*v**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -90 + 115. Suppose -1 = l - 5. Solve 0 = b + l*b + k for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -7\/5, -1527, -5?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, y: 1, b: 3, s: 10, p: 2, g: 2}. What is prob of picking 1 d and 1 p?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 1179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 7 + -10 - -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6830953 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in four sevenths of a week?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.738 + 3.6. Let y = 0.1509 + j. Round y to 3 dps.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 862 + 622 = 106*f. Let u(t) = -7*t + 17 - 8*t**2 - 3 + t**3 - 9*t. Calculate the remainder when u(10) is divided by f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.34 - -0.44. Let r = 0 + -12. Which is the biggest value? (a) r (b) -2 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -12*o**2 + 75 + 10*o - 106 - o**3 - 12*o**2. Let b be a(-25). Let p(t) = -6*t - 11. Let i be p(-9). Calculate the highest common divisor of i and b.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 128587 times -0.74\nAnswer: -95154.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -8. Suppose -3*o - 2*h = 6 + 11, 5*h = q*o + 38. Let g = -4 - o. Solve -2*f = g*f - 10 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.14 - -40513.3475.\nAnswer: 40513.4875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in fourty-seven quarters of a millisecond?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4001.9+-2905.671965\nAnswer: 1096.228035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that u**5\/3 + 4*u**4 - 118*u**3 - 740*u**2\/3 - 125*u = 0.\nAnswer: -25, -1, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22092 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8295 and 210?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -3*r - 9. Let d be y(-3). Suppose -4*x + 8*x + 302000 = d. What is x rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300332111 (base 4) in base 12?\nAnswer: 98105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - 6740?\nAnswer: -6743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2*i - 2. Let k(t) = 2*t - 1. Let w(n) = -2*a(n) + 3*k(n). Calculate w(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z - 4. Let b = 20 + 62. Let m = 76 - b. Give c(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 4.1 and -0.04631.\nAnswer: 4.05369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4274 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -9*g**3 - 6*g**2 + g + 13. Let d be j(-4). Suppose 0 = 3*n + 3 + 6, d = 3*m - n. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 - 3*q**2 + 7*q - 20. Let b be (-12 - (-1 + -3))*(-2)\/4. Suppose 2 = f - b. What is the tens digit of z(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112402.\nAnswer: 2, 43, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.803ug in nanograms?\nAnswer: 24803","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -0.5, 0.1, 7.0631, 0, 3, -1, 2\/11?\nAnswer: 7.0631","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -5, 33 in ascending order.\nAnswer: -5, 12, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1104 by 247627.\nAnswer: 1104\/247627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 + 15*a**2 - 19*a - 130. Give o(-5).\nAnswer: 215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 62, 179, 384, 701, 1154?\nAnswer: 1767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 PM and 9:25 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 595 - 206. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -972 - 1054 - 1054 + 4135 - 5*q**3 - 1055.\nAnswer: -5*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - 8 - (-5 - -1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0214 plus 80.14?\nAnswer: 80.1186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16 is divided by 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2201000101 (base 3) to base 5\nAnswer: -3200402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3\/2 (b) 0.1 (c) -1881 (d) -10 (e) 2\/43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.211 (b) -2\/5 (c) -0.15 (d) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1960347418?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 - 8*d - 3. Let h be f(-7). Let x(z) = -5*z + 0 - h + 2*z + 2*z**2 + 0. Determine x(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.97 + 0.03. Let c = n + -1.9. Let k = 561\/7 + -80. Put c, 5, k in increasing order.\nAnswer: c, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -5*m**3 - 2*m**2 - 1. Give l(-2).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3448 + 7810.42\nAnswer: 11258.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 507366 and 1278?\nAnswer: 1278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jsssfssdfxffdj. What is prob of sequence fx?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 PM and 4:39 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 13 = -4*u. Suppose 4*b = -2*h + 32, 2*b - u = -2*h + 25. Calculate the least common multiple of h and 12\/(-18) - (-64)\/6.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 5*o - 135, -2*o - 2*o = 0. Calculate the common denominator of 51\/9*m\/6 and 1\/3*455\/(-21).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39731 divided by 1.\nAnswer: -39731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3910 - -3?\nAnswer: 3913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -17, 23, -0.08, -3\/2, -0.4?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 311*f + 4*f**2 - 311*f.\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a millimeter in micrometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide -11*20\/(-8)*22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 183680258 to the power of 1\/2, to the nearest integer?\nAnswer: 13553","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-8)*((-560)\/(-1232) - 6\/(-11))\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bkbkbzzknbzkoboz. What is prob of picking 1 n and 2 k?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2. Let w(u) = 2256*u**2 + 5. Give w(y(n)).\nAnswer: 2256*n**4 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 + 4*f. Calculate the least common multiple of y(1) and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 8*t - 428. Suppose 5*l = -3*b + t, -2*b = -6*b + 3*l + 104. Is b a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*i - 365 = 4717. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1879674765 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-15))\/(4\/20) - -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -27164? (a) -3\/7 (b) 11.96 (c) 1 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/3 (b) 0 (c) 0.46 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p - 6. Let h be x(4). Let u = -2 - h. Suppose m + 0*m - 319 = u. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*f**2 - 8*f + 8*f)*((-1 - 2 + 2)*(3*f - f - f) - 4*f + f + f).\nAnswer: -36*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2331 and 59682.\nAnswer: 6624702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1\/2 + (-36)\/8\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 36 and 801\/22 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*z - 39*z - 218 - 102 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*u, 0 = -4*h + h - 2*u + 6. Let r(x) = 4*x**2 - 1. Let g be r(-1). Let v(a) = g - 3*a**2 + 0 + a**3 + 2*a**2 + a. Determine v(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*g**2 - 13\/4*g**3 - 9\/4*g + 1\/2 = 0. Calculate g.\nAnswer: -1, 2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 341, 663, 985?\n\"Answer: 322*v + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4b1da (base 14) to base 4\nAnswer: 230332230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t - 57627*t**3 - 57631*t**3 + 115248*t**3 + 0*t.\nAnswer: -10*t**3 + t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*(-2)\/((-64)\/(-28))*47\/(6110\/624).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 576*u + 5043*u + 272038 = 192*u - 156695 for u.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -13 (b) 15 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 150 + 93. Let k = x + -115. Is 11 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, n: 6, y: 8}. What is prob of picking 2 u and 2 n?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001121021210 (base 3) in base 2?\nAnswer: -10001001011100110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 13 = -5*n + 6, -3 = -3*p - 3*n. Let c be p\/(3 + -1)*(-4 + -27). Suppose -c*l + 52 = -27*l. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 4824?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3967799675?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13285375 divided by 5.\nAnswer: 2657075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 7:48 PM?\nAnswer: 1:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1885 and 12064.\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, a: 2, c: 1, p: 2, q: 1, e: 1}. Give prob of picking 2 p.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 1\/691809?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-796)\/(-2985)*(-780)\/8\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 4:27 AM?\nAnswer: 9:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + y = -5. Let w(t) = 2*t**2 + 3*t + 7. What are the prime factors of w(y)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of -2*s**2 + 0 + 1\/12*s**4 + s - 3\/20*s**5 - 1\/6*s**3. Is k(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - 176\/24)*7\/(21\/18).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1003, 1002, 1001, 1000?\nAnswer: 999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbabbaabb. What is prob of sequence baaa?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 179.3075 + -215.3. Let y = 0.023 - 36.023. Let u = y - j. What is u rounded to three dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34 and 31504.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108 - 8 = -29*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 15 + 219*f - 26.\nAnswer: 219*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*t + 7*t + 33*t + (0*t - 2*t + 0*t)*(4 + 2 - 5) - t + t - t.\nAnswer: 29*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-4*sqrt(3969))\/(sqrt(7) + -1*sqrt(847)).\nAnswer: -108*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 120077206 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*w = 187*w + 3621 for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 21\/2 of a decade?\nAnswer: 1260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*m**2 + 16*m - 16*m + 40*m**2.\nAnswer: 74*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 5 - 17*p - 16*p - 9*p + 6*p + (-3*p - 2*p + 4*p)*(0 + 0 - 1) to the form t + j*p and give j.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1637813 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - ((-7 - -1) + -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.099 and 0.0228.\nAnswer: 0.0022572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8100 is divided by 270?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 5 - 3*h**2 + 2*h**2 + 5. Let n(i) = 3*i + 2. Calculate the remainder when n(5) is divided by f(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**5\/3 + 8*i**4\/3 + 7*i**3\/3 - 86*i**2\/3 - 52*i - 24 = 0. Calculate i.\nAnswer: -2, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9362 - -18713\/2. What is the nearest to -0.1 in -0.1, l, 5, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20540 and 6175?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, m: 4, g: 2}. Give prob of picking 3 m.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29883627 divided by -9961209.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-42)*829\/(-829).\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6859?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -17*v. Let r(h) = 37976*h. Calculate o(r(c)).\nAnswer: -645592*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22*(-117)\/(-11583) + 5\/((-135)\/(-222)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 3490 = 2*w, 0 = 5*z + 3*w + 4543 + 1280. What is z rounded to the nearest one hundred?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -431866 to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18.46 + -0.54. Are g and 2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15125?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of v**4\/4 - 11*v**3\/3 + 19*v**2\/2 - 7*v - 19. Let i be c(9). Solve 0 = -5*j + 2*d - 20, -4*j + 0*d - i*d - 16 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 20*s**2 + 48*s**2 - 15*s**2 - 14*s**2 - 10*s**4 to the form f + p*s**3 + t*s**4 + b*s**2 + l*s and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 9211 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 117888 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -495, -793, -1087, -1377?\n\"Answer: 2*d**2 - 304*d - 193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 + 19. Suppose 0 = 3*p - 3, 2*t = d*p + 2*p - 5. Solve t*w - 3*l = -4*w - 17, -4*l = -w - 14 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g**4 - 58278*g**2 - 3*g**3 - 21 + 58283*g**2 + g**3 to r*g**3 + p*g + a*g**2 + m*g**4 + t and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-90))\/(9\/(-27)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f\/f**(-3\/32)))\/f)\/f*f**(-1\/23))\/((f**(2\/19)\/f)\/f*f**(5\/8)) assuming f is positive.\nAnswer: f**(-12131\/13984)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1942 - -1947. Solve -13 = -5*n - 2*t, 16*n - v*t + 21 = 17*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5067, 5063, 5059?\n\"Answer: -4*f + 5071","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = -4*u + 6, 114*u = -a + 111*u + 8 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -a502 (base 12) in base 11?\nAnswer: -12586","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11063*g - 13855*g - 20020*g + 65 - 64.\nAnswer: -44938*g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -20\/36517?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.289 - -0.089. Which is the nearest to 9? (a) 0.4 (b) g (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 35*q**2 - 6 - q + 10*q - 5*q - 8 - 6*q. List the prime factors of p(5).\nAnswer: 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 2*q - 27, 0 = -w - 3*w - 2*q - 22. Let x be 2\/w + (-1146)\/(-42). Let d = x + -5. Calculate the remainder when 86 is divided by d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 PM and 6:34 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3.9443 microseconds?\nAnswer: 0.0039443","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, 5, -35 in increasing order.\nAnswer: -35, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 + -95.\nAnswer: -94.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of -a**4\/4 + 2*a**3 - a**2 + 7*a + 22. Determine r(5).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -8, -100, -258, -488, -796, -1188, -1670?\n\"Answer: -f**3 - 27*f**2 - 4*f + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**(-16)\/d)*d**17*(d*d**11)\/d**(-1))**(25\/2) assuming d is positive.\nAnswer: d**600","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -48, 2, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 4*b + 49, 5*c - 4*b = 4*c + 13. Let m(o) = -29*o + c*o**2 + 29*o. Let y(p) = -4*p + p + p. What is y(m(i))?\nAnswer: -18*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 - 3 - 3)*(5*x**4 + x**4 + 4*x**4) - x**4 - 3*x**4 + 6*x**4 to d*x**4 + h*x + u*x**3 + i + y*x**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - 2 - -1)\/1. Let o(t) = -t + 13. Let j be o(16). Suppose 5 = 19*u + 43. Sort j, i, u.\nAnswer: j, u, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -30? (a) -6 (b) -2 (c) 2\/17 (d) -5\/3 (e) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -14 times -63\nAnswer: 882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00071355574 to 7 decimal places.\nAnswer: -0.0007136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9107*n - 232583 = -9120*n. What are the prime factors of n?\nAnswer: 17891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 11\/(-4) + 3 + 0. Let y = 0.2 + -0.2. Let v(o) = o**3 - 5*o**2 + 3*o + 5. Let x be v(4). Which is the closest to y? (a) -0.4 (b) x (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 3*p**2. Let u(c) = -10*c**2. Let k(t) = 16*g(t) + 5*u(t). Let s(q) be the first derivative of q**3 - 2 - 3*q**3 + q**3. Calculate k(s(r)).\nAnswer: -18*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - -10) + 14 - 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 8*v**2 - 6*v + 1 + 2*v - v. Let o(f) = -7*f**2 + 4*f. Let w(u) = -6*l(u) - 7*o(u). Calculate the remainder when w(-5) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -2*v**4\/21 + 92*v**3\/21 - 352*v**2\/7 - 92*v\/21 + 1058\/21 = 0.\nAnswer: -1, 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 75 = -3*l. Let h(a) = -57*a - 172. Let f be h(-7). Suppose 8*w - 85 = f. What is the remainder when l is divided by w?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -0*s + s + 5, 4*t - 2*s = 12. What is the nearest to t in -4, -2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -239*g = 194*g - 76*g + 8211. Suppose 5*j - 9 = 6. Suppose 4*r = -j + 7. Sort -4, g, r in descending order.\nAnswer: r, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (242\/(-3))\/(11\/(-165)). Let y be g\/(-100)*-5 - (-2)\/(-4). Calculate the greatest common divisor of 220 and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-66) + (21398\/858 - 20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7.16 or -0.056?\nAnswer: -0.056","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*i - 5*i + 4*i)*(0*i + 4*i - 5*i).\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 12 = -5*h, -5*b = 5*h + 10. Let y(p) = -p**2 - 3*p + 6. Give y(b).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/(81 - -4)*10\/5. Let x(y) = y**3 - 5*y**2 - 3*y + 11. Let k be x(5). Which is the nearest to 3? (a) v (b) k (c) -6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -3.\nAnswer: -3, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 17231 and 3954?\nAnswer: 68131374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*g - 4420 = 3*g. Let x = g - -433. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -112*i. Let v(l) = -6*l**2 + 7. Let d(f) = -f**2 + 1. Let h(o) = 14*d(o) - 2*v(o). Calculate n(h(y)).\nAnswer: 224*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003718481302 to five decimal places.\nAnswer: -0.00372","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40 and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1537504 at most 21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.25 - -1.35. Let n = t - 1.0935. What is n rounded to 3 decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 13871 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8 + 300?\nAnswer: 2b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 265677 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: Simplify (r*r**5\/r*r**6*r*(r\/(r\/(r*r\/r**(-1))))\/(r*r\/(r\/r**5*r)))\/((r**(-4\/5)*r**0)\/(r**(-2\/9)\/(r\/(r**(-4\/7)\/r)*r))) assuming r is positive.\nAnswer: r**(2207\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6\/5 of a meter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 2. Suppose 0 = -l*w + 3, w + 273 = 4*i - 306. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 346 or 1733\/5?\nAnswer: 1733\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s = s - 1030 - 2083. Solve -5*d = -s + 313 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (36 + 47*v**3 - 36)*(v + 3*v - 2*v + (-v + 3*v + 0*v)*(-3 - 1 + 6) + 0*v - 26*v - 12*v) to the form k*v**4 + m*v + t + s*v**2 + u*v**3 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -61 - 1786 + a**2 - 155*a**4 - 1122 - 83 - 637 with respect to a.\nAnswer: -620*a**3 + 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2016)\/(-84)*(-2)\/16*-2\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lorrrmvrm. What is prob of sequence orvl?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 9, j: 3, v: 3, w: 2}. Give prob of picking 2 w and 1 r.\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.097156 from 7.7.\nAnswer: 7.797156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -29*o**2 + 7*o - 19. Let x(q) = -15*q**2 + 4*q - 10. Let p(w) = -6*l(w) + 11*x(w). Does 26 divide p(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23778 is divided by 1124.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 13 = 2*m + f, 1 = -4*m - 5*f. Let b be ((-2)\/m)\/(7\/42). Solve b*x**2 - x**2 - 4*x + 0*x = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*z**5 - 820*z**3 - 19*z wrt z?\nAnswer: -40*z**3 - 4920*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, b: 1}. Give prob of sequence kb.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1203 (base 7) to base 6\nAnswer: -2020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 127263779 * 0.1.\nAnswer: 12726377.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of d**4\/2 - d**3\/6 - d**2 - d. Let b be 4\/10 - 16\/(-10). Is 7 a factor of j(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4129 + -4127. Solve 4*s - 2*r - 2 = 7*s, -x*r + 14 = -s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 518 (base 15) to base 4.\nAnswer: 101330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (-75 - 1)*(-3014)\/88 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 8 - 2. Suppose 2*w - 3*w + v = -2*h, 2*h - 3 = -w. Suppose -141*j + 149*j = 120. What is the least common multiple of w and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 393*a - 99*a - 76*a - 109*a - 94*a.\nAnswer: 15*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 71*o*u**2 - 122*o*u - 180*o - 63*u + 9008 wrt u?\nAnswer: 142*o*u - 122*o - 63","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31 - -43. Suppose 0 = -m + 4*m + d. Let w be 0\/((m + 1)\/(-3)). Solve y = -w*y + 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4541681739.\nAnswer: 3, 7, 19, 61, 186601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = j - 7, c - 5*j = -2*c + 37. Let w be (195\/6 + 6)*c. What is the highest common factor of 56 and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 11*b + 7. Let l(j) = 3725*j. Determine o(l(a)).\nAnswer: 40975*a + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -138 (b) -3 (c) 36\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 205a30 - -2?\nAnswer: 205a32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -853.163158 to one dp.\nAnswer: -853.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 112349*r**2*z**2 + 200418*z**2 with respect to r.\nAnswer: 224698*r*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/167 and -12\/510637 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -9*d**2 - 27*d - 13. Let s(p) = 82*p**2 - 161*p**2 + 13*p + 83*p**2 + 6. Determine 13*s(x) + 6*z(x).\nAnswer: -2*x**2 + 7*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of 23*a**5\/15 - 49*a**4\/6 - 93*a**2. What is the second derivative of n(s) wrt s?\nAnswer: 184","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 30 - 304*z - 220*z - 168*z + 846*z in the form l*z + a and give l.\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 PM and 9:36 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 5:26 PM?\nAnswer: 12:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -4\/7 - 18\/7*t**5 + 30\/7*t + 52\/7*t**3 - 72\/7*t**2 + 12\/7*t**4 = 0.\nAnswer: -2, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -b0a123 (base 12) to base 11\nAnswer: -1611635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -13*q**2 + 2*q + 4. Let v be y(-2). Let t = v + 130. Is t a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 2. Let h = -1\/2 - -3\/10. Which is the second biggest value? (a) h (b) x (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -516693, -1033394, -1550095, -2066796?\n\"Answer: -516701*r + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12936 + -12973. Calculate the common denominator of -37\/655 and n.\nAnswer: 655","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -4*d + 35, 3*d - 37 = -4*m + 13. Let q(j) = -d - 7 + 18*j**2 + 23*j**3 + 2*j**2. Let g(h) = 6 + h - 8*h**3 - 7*h**2 - h. Give -17*g(f) - 6*q(f).\nAnswer: -2*f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 13911 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -474 - -362. Which is greater: -102 or w?\nAnswer: -102","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.202, -3, 1, -30?\nAnswer: 0.202","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (114\/285)\/((-32)\/30).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44936.\nAnswer: 2, 41, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -4.3, -59\/2555?\nAnswer: -59\/2555","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*157\nAnswer: 15.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 260?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 AM and 3:05 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (21\/14)\/(1*-3). Is -1 > k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12929 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2175 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j + 11*j - 8*j - 11*j + 2*j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 583, 600, 631, 682, 759, 868, 1015?\nAnswer: 1206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = 4*h + 48, 0*l - 17*l - 4 = 2*h + 10*l - 29*l for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 899800 and 59400.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((-6*(sqrt(1008) + -1)*-3)**2 - ((sqrt(252) + -2 + sqrt(7))**2 + -2 + 2)).\nAnswer: -7748*sqrt(7) + 326569","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 - 7*x - 761. Give m(-25).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -5*p - 5*n, 3*p = -0*n - 4*n + 16 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.369272 plus -0.5?\nAnswer: -0.130728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r = 3*r. Let i be (-204)\/(-48) - (-2)\/(-8). Suppose -4*b = -i*k + 16, 5*k + b - 21 = k. Solve 0*w + w + k*t = -12, -w - t - 4 = r for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/g**2))\/(g**(-9)*g))\/(g\/(g**(-2\/5)*g))**(13\/7)*((g*g*((g\/g**(-7\/4))\/g)\/g)\/(g\/g**(-6)))\/(g**(-2\/7))**(-3) assuming g is positive.\nAnswer: g**(83\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 107.69 and -4?\nAnswer: -430.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5, c: 4, p: 1, b: 3, n: 3, z: 1}. Give prob of sequence nz.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -242577734 divided by 7\nAnswer: -34653962","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -213 (b) 0.4 (c) 1\/16 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -2\/343269?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 30 - 26. Is c*(-2)\/((-2)\/691) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -2\/13, -6\/37, 3, -3\/7, 3\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 3\/7 - 864\/(-1512)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4 (b) 2 (c) 0.8 (d) -158 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 438, 851, 1202, 1461, 1598, 1583, 1386?\n\"Answer: -5*l**3 - l**2 + 451*l - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of -7*i**6\/3 - 10*i**3\/3 + 19. What is the third derivative of y(u) wrt u?\nAnswer: -840*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, t: 5, e: 3, h: 1, l: 1}. Give prob of picking 1 d and 1 e.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3843096 divided by 2?\nAnswer: 1921548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3 + 493534*a**2 + 3948158*a + 3454626.\nAnswer: 2*(a + 1)*(a + 7)*(a + 246759)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164*m + 250031 = 240519 for m.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 + -2)*(-9)\/(-18). Which is smaller: 1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1936688?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 5274*m. Let y(k) = 2*k. Give v(y(f)).\nAnswer: 10548*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2130 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.21*515.\nAnswer: 108.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fjjf when four letters picked without replacement from ffjjff.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 123\/14 - 58\/7. Which is smaller: s or -50?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 3 + 31 = 5*o, -5*o + 24 = -a. Suppose 0 = 3*b - o*f - 161, -2*f = b - 44 - 23. Suppose 0 = -i - 22 + b. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 1)*(-3*c + 2*c - 1 + 3).\nAnswer: 2*c - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 12a329 (base 14) in base 16?\nAnswer: 9cea1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 1792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, m: 1, a: 1, d: 1, f: 1}. Give prob of picking 1 m and 1 f.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10021112 - -12112?\nAnswer: 10111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (36\/15)\/(26\/(-65)). Do 3 and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27350 divided by 5470?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-916)\/46 + 3 - ((-60)\/(-161) + (-666)\/2331)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1465 - 1403. Calculate the remainder when 119 is divided by t.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 3 = -3*p - 0*p, -p = -5*z - 1. Let g = 28 + -28. Solve g = b + p - 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4910081.6937 - -4910283.69369991. Let m = x + -202. Round m to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_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: What are the prime factors of 40529?\nAnswer: 40529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 96, 191, 286, 381, 476?\n\"Answer: 95*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 32260972?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + 1)*(22\/6 - 5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -1\/5 (c) -67 (d) 8.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2761429.\nAnswer: 11, 17, 14767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(832) - sqrt(832) - sqrt(832))*2 + (-2*sqrt(832) + sqrt(832) + sqrt(832))*4)\/(-2*-4*(sqrt(100) - -1*sqrt(100))).\nAnswer: -3*sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*p**2 - 16408*p - 42795 wrt p?\nAnswer: 4*p - 16408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 56 (b) 6 (c) 0 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 12:22 PM?\nAnswer: 10:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 32.53 + -0.53. Let b = -32.452 - -0.652. Let d = b + n. What is the nearest to -1 in d, 0.5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*t**2 - 4*t**2 + t**2 - t**2 - t wrt t?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/6 and 12\/18*(-549)\/(-60).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 340095 and 8505?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f. Let x(n) = 7*n + 1. Let j(b) = -13*b - 3. Let u(r) = 2*j(r) + 5*x(r). Let k(p) = -u(p) + 6*v(p). Give k(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4749, 9497, 14247, 18999?\n\"Answer: z**2 + 4745*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 9.341818 years?\nAnswer: 112.101816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/6 of a millennium?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of o**4\/4 - 2*o**3 - o**2. Let z(m) be the second derivative of m**4\/6 + 3*m - 978. What is z(b(u))?\nAnswer: 72*u**2 - 288*u + 288","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - z - 16 = -0*z, 4*n = 3*z for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*c**4 - 8875*c**3 - 53765*c**2 - 54485*c - 9550 = 0 for c.\nAnswer: -191, -5, -1, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/7 (b) 2\/5 (c) 3\/28 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4626395 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-3)\/(-2))\/((-24)\/(-592))?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of j**5\/20 - 7*j**4\/6 + 2*j**3 + 9*j**2 - 2*j. Suppose 11*f - 104 = 3*f. What is the remainder when i(f) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 6, g: 9, w: 2, i: 1, r: 1}. What is prob of sequence wi?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a\/(a**(-2)*a))\/a)\/(((a\/((a**(-3\/4)\/a)\/a))\/a)\/a))\/(a*a*a*a**(-6)*a)**(-2\/47) assuming a is positive.\nAnswer: a**(31\/188)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 13 and -38.\nAnswer: -494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-5)\/(x*x*x**(3\/5)*x))**(1\/23)*x**(12\/7)\/x**(5\/8) assuming x is positive.\nAnswer: x**(4607\/6440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 2:38 AM?\nAnswer: 10:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6.2 - 6. Let t be (-3)\/(-3 + (-4 - -6)). Suppose -t*l = -3*i - 0*i - 15, 5*i + 11 = -2*l. Which is the closest to 0.1? (a) 4 (b) y (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 123 and 697?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1920) - (-2*sqrt(1920) - sqrt(1920)) - sqrt(1920))\/(sqrt(6) + (-2*sqrt(384) - sqrt(6))).\nAnswer: -3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3\/3 - 67138*i**2 + 671430*i - 5035850\/3.\nAnswer: -2*(i - 5)**2*(i + 100717)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 240\/(-1)*9*(-2)\/6. Suppose -5*q + 4*q + 718 = -b, -q - b + c = 0. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1094)\/(-3) - 133\/(-399).\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -199084 = -4*m - 45*f + 42*f, 5*f = -12*m + 597220. What is the thousands digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k + 18*k = -48 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 121 - -20340401?\nAnswer: 20341022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 - 5*a + 2. Let n be k(-8). Let s = n + 25. Solve 5*j = j + f + 16, 0 = s*f + 12 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 171*j + 169*j + 155*j + 152*j - 629*j.\nAnswer: 18*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 68260 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 406492 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of 0*w + 0*w**3 - 3*w**2 + 1\/30*w**5 + 1\/120*w**6 + 0*w**4 + 0. What is the third derivative of g(h) wrt h?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12675881 and 1982?\nAnswer: 991","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*v - v. Let d(t) = -v*t + 4*t - t + 2*t**2. Let j(p) = -2*p**2. What is j(d(n))?\nAnswer: -8*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*l**5\/5 + 2979*l**4\/5 - 148125*l**3 + 340329*l**2\/5 + 100056096*l\/5 - 470136576\/5 = 0. What is l?\nAnswer: -13, 7, 496","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 48 by 6.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 < 276\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6195872, 12391736, 18587598, 24783458, 30979316?\nAnswer: 37175172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -117398\/3 + 39133. What is n in 0 + 1\/3*n**3 + 1\/3*n**2 - 1\/3*n - x*n**4 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, y: 2, x: 1, i: 1}. What is prob of sequence yyix?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0345 + 0.0155. Sort 2\/5, -5, x in increasing order.\nAnswer: -5, x, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -1. Let c(r) = -2*r**3 - 3*r**2 + 3*r - 2. Let u(f) = c(f) - 4*i(f). Let n(k) = 5*k**3 + 7*k**2 - 7*k - 4. Determine 3*n(h) + 7*u(h).\nAnswer: h**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of i**7 + 0*i**6 + 1\/3*i**3 + 0*i**5 + 0*i + 13\/2*i**2 - 111 + 0*i**4. What is the third derivative of l(b) wrt b?\nAnswer: 840*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 794254*j**2*z + 144*j*z - 3498*z wrt j.\nAnswer: 1588508*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, -60, -182, -366, -630, -992, -1470?\nAnswer: -2082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1 and 98.6.\nAnswer: 97.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2101.\nAnswer: 11, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 256 < 119888?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -396*x + 7042 = -4838 for x.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6488 + 177?\nAnswer: 6676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 + 3)\/2 + 0. Let o(p) = p**3 - 6*p**2 + 4*p + 4. Let l be o(4). Let v = 14 + l. Solve w + j = v*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 184 is divided by 20 - -1 - (-76 + 76)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9242.104 centimeters in kilometers?\nAnswer: 0.09242104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -3)*(-2 + 3\/3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/3 (b) 608 (c) -0.59 (d) -3 (e) -4\/9 (f) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -864 divided by 6.\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/19, 0, 0.2, 1\/4, 1.\nAnswer: 0, 0.2, 4\/19, 1\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0357 rounded to three dps?\nAnswer: 0.036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4 + (5 - (7 - 1))*-4504?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/86463 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5692?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 divided by -12030.\nAnswer: -29\/12030","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ptt when three letters picked without replacement from {p: 1, t: 2, u: 2, b: 1, c: 2}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*n**2 - 59*n**2 - 45*n**2.\nAnswer: -181*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 52055 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9*(-135)\/(-2187))\/((-5)\/45).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-10)\/6)\/(9\/(-27)) - 4. Let z(q) = q + 3. Let u be z(v). Solve u*c + 6 + 6 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-8)\/(0 + -2))\/(-2). Let b be 16\/(-12)*561\/v. Suppose -y + 42 = 2*r - 30, 4*r + b = 5*y. Does 13 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8694 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 9*q + 170 = 0. Let w = q + 40. Calculate the remainder when w is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-156)\/7*(-10458)\/36. Suppose -2*s - b + 2590 = -3*b, 5*s = 4*b + g. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 + 65749064.9.\nAnswer: 65749065.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 47810417*g**3*p**2 - 125368*g**2*p**2 - 91*p**2 wrt g?\nAnswer: 286862502*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17060 is divided by 371?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (52\/(-3))\/(-4) + (-10)\/(-15). Solve d*t - t + l - 10 = 0, -3*l - 3 = t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/864 or 0?\nAnswer: 1\/864","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l**3 - 9*l**2 - 5*l - 8. Let z be f(6). Let o = z + -20. Is o a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6468 and 28574546.\nAnswer: 171447276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - j + 27 = 0. Let z = j + 3. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, y: 4, f: 2, z: 1}. Give prob of sequence cyy.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 704836790 to the nearest integer?\nAnswer: 890","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 110\/44*(-8)\/10?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 262 is divided by 88.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -16*a**2 - 163*a - 390. What is z(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 3613*v**2 + 8*v - 7. Let f be z(1). Let r = f + -1159. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5287014597?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4749*s**6 - 757*s**2 wrt s?\nAnswer: 569880*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(0 + (-8)\/(-20)). Calculate the remainder when d\/(-1) + (3 - 6) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -28323611 - 4?\nAnswer: -28323615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -8788, -8781, -8774?\n\"Answer: 7*a - 8795","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 229999*u**2 + 1. Suppose -2*p - s - 1 = 0, 0*s - 6 = 2*s. Let t be a(p). What is t rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 0.16?\nAnswer: 0.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -117, -466, -1047, -1860, -2905, -4182?\n\"Answer: -116*f**2 - f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11000010 - 20122101120?\nAnswer: -20111101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -634122 by -2.\nAnswer: 317061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 5449?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, s: 4, k: 1, t: 6, q: 2, c: 2}. Give prob of sequence ttts.\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 23, -5, -3, -1 in descending order.\nAnswer: 23, 0, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 32*w**2 - w + 1. Suppose -10 = 4*o - 6*o. Let c = 6 - o. What are the prime factors of z(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 347?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 11:13 PM?\nAnswer: 3:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 3*b + 52. Let a be w(-18). Let n be (a + 7)*((-3)\/5 - -3). Solve 3 = -n*f + 9*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5026, -5086, -5226, -5476, -5866?\nAnswer: -6426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 39? (a) 4 (b) -1\/14 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 - 71*y - 2143. Determine h(101).\nAnswer: 887","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -340766106 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 3*v + 9. Let y(c) = -4*c - 10. Let r(s) = -5*x(s) - 4*y(s). Let w(z) = -1. Let n(b) = -r(b) - w(b). List the prime factors of n(0).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/13 (b) -2 (c) 1215\/7 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 49, 2\/5, -4, -9, 393?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of -8*w**3\/3 + 3*w**2 - 15*w + 10. Let x(o) = 17*o**2 - 13*o + 31. Let p = 11779 - 11766. Determine p*y(m) + 6*x(m).\nAnswer: -2*m**2 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -3*l**2 + 6*l - 3. Let h(q) = 3*q**2 - 5*q + 2. Determine 5*h(d) + 4*p(d).\nAnswer: 3*d**2 - d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -201203 - -12440?\nAnswer: -133213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4918 + 49111\/10. Calculate the common denominator of -19\/2 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + -6. Let b(y) = 1 - 4*y**2 - 5*y**3 - 2*y**3 + 2*y**r + 0*y**2. Calculate b(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3253, 3433, 3749, 4207, 4813?\n\"Answer: n**3 + 62*n**2 - 13*n + 3203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 - 3*b + 6. Calculate the remainder when 63 is divided by x(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10395)\/(-378))\/(((-3)\/(-3)*2)\/(192\/40))?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + -40 + 24 - -17?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*j**2 - j**2 - 5*j**2)*(-8*j**2 + 5*j**2 + j**2) - 3*j**4 + 3*j**2 - 3*j**2 + (j - 4 + 4)*(-3 + 3 - 2*j)*(2 + j**2 - 2).\nAnswer: -3*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + -0.05. Let l = -9 + 6.05. Let j = l + r. What is the second smallest value in 1\/3, j, 5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 344.\nAnswer: -1\/86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/90 and -139\/90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 236*m**3 + 8*m**2 + 8*m + 262. Let j(h) = -79*h**3 - 3*h**2 - 3*h - 88. Let y(b) = 8*j(b) + 3*v(b). Differentiate y(f) with respect to f.\nAnswer: 228*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u - 3*u - 6*u + 3*u.\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 223688.\nAnswer: 2, 27961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1649a (base 11) in base 12?\nAnswer: 11530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 324 is divided by 60.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 162573.000069019 - 162573. Round i to six dps.\nAnswer: 0.000069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, 22 in decreasing order.\nAnswer: 22, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 177300000 rounded to the nearest 1000000?\nAnswer: 177000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -1414*b**3 + 9*b**2 - 13*b + 8. Let i(x) = 1411*x**3 - 9*x**2 + 14*x - 9. Let o(h) = 8*i(h) + 9*r(h). Find the third derivative of o(n) wrt n.\nAnswer: -8628","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/11 (b) 2\/7 (c) -23 (d) -294\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 4*v - 40, 4*v - 22 = -v - 2*c. Suppose 0 = -10*q + v*q + 160. What is the highest common divisor of q and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 148928 and 6096064?\nAnswer: 1091195456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*o + 5 - 5)*(2*o - o - 4*o) + (3 - 2 + 5)*(-2 + 2*o**2 + 2).\nAnswer: 45*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -113342 (base 6) to base 15.\nAnswer: -2dbe","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/(-2) + (-15)\/(-15) - -7. Suppose 15 = w*q - 1. Suppose q*d - 52 = -11*d. Solve -j + 2 = -d*h, -2 = 2*j + 2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, -12, -5, 17, -4 in increasing order.\nAnswer: -12, -5, -4, 17, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000015128 to six decimal places.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.4 + 0.4. Let j = -9 + 106. Let f = 97.1 - j. Which is the closest to f? (a) 0.4 (b) -3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22732.999933596 + -22733. What is k rounded to five dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7478756677 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 15730 (base 8) to base 6\nAnswer: 53000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 556095518?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 4*d - 8 = 0. Let v = d - -6. What is the third derivative of -8*l**3 - 2*l**v + 5*l**3 + 3*l**2 wrt l?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 633955913 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (13 + 83*(-220)\/539 - -14)?\nAnswer: -6\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.11 and 2242.\nAnswer: -246.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 1201*u + 18022. Give o(-15).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 125 + -136. Let g(w) be the first derivative of -3*w**2\/2 + 21*w + 2. What is the units digit of g(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -2*v - 2*q, -4*v + 2*q = -5 - 9 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (((-20)\/4)\/(-20))\/(6\/(-4))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u - 1 + 1 + (0 - u + 0)*(0 + 2 - 3) - 2*u + 610*u - 195*u.\nAnswer: 416*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 8744*z + 6 + 8743*z - 17490*z + 7*z**2 - 9. Let h(b) be the third derivative of -b**5\/20 + b**4\/24 + b**3\/6 + b**2. Give -5*h(m) - 2*q(m).\nAnswer: m**2 + m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3966230 divided by -396623\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -v + 3*g, 4204*g = v + 4210*g + 16 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 27739410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*k + h = 36*k + 7, 2*h = -6. Solve 4*n + s = 20, k*n + 5*s = -n + 15 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*n - 5*n + 3*n)*(2*n**3 + n - n) + (-5*n + 5*n - 5*n**2)*(-2*n**2 - n + n))*(1 - n - 1).\nAnswer: -6*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 55*m*t**2 + 3*m*t + 2*m + 278*t**2 + t - 123 wrt t?\nAnswer: 110*m + 556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2499 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -4*x**2 - 4*x + 9. Let q(u) = 3*u**2 + 3*u - 8. Let n(o) = -3*q(o) - 2*s(o). Solve n(k) = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10714319600 to the nearest one million.\nAnswer: 10714000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, k: 5, w: 5, o: 1, j: 2, p: 1}. Give prob of picking 2 j and 1 p.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - c + 0 + 3*c)*(-512*c**2 - 1409*c**2 + 1335*c**2) + 2*c**3 - 2*c**3 - 2*c**2 + 2*c**3.\nAnswer: -1170*c**3 - 1174*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-45)\/36*((-24)\/(-855) + 8\/76).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 - -10.44\nAnswer: 10.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 7*y - 146. What is w(14)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 12\/875 and 32\/5?\nAnswer: 875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 6*v + 9. Let r be y(2). Suppose -4*w + 2*z - 27 = -9*w, 4*w = -z + r. Solve x = 1, -a - x + w*x - 6 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 39749240?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5389?\nAnswer: 17, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 915015162 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5754?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 526484*u*y**3 - 12*u*y**2 + 5*u*y + 83*y**3 + 2*y**2 + y + 24631 wrt y.\nAnswer: 3158904*u + 498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 36 + -31. Let l = -9 + d. Let y be -5*l*(-3)\/(-30). Solve -y*h - 3*h = 5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -65 + 39. Let o = 53 - w. Let s = 38 + o. What is the highest common factor of 13 and s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.752 or -323.2?\nAnswer: -323.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (3 - (4 - 3)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s - 10 = -10*s. Solve 2*b + 25 = 3*l, s*b = 4*l + l - 50 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 - ((-31960)\/(-15480) + 1\/(-9)). Suppose -r - 8 = 3*r. Let i be 23\/21 + 2\/r. Put l, -2\/9, i in ascending order.\nAnswer: -2\/9, l, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 14*z**2 + 6. Let j be 4\/(-6)*6\/(-8)*8. Let a(d) = 5*d**2 + 2. Suppose 15 = -3*l - 3. Let o be 2\/l + 32\/(-3). Determine j*m(r) + o*a(r).\nAnswer: r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-9))**0\/(w**(-5)*w\/(w*w\/(w*w**(-10)))) assuming w is positive.\nAnswer: w**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1114 + 1117. Factor 0 - 2\/7*o**5 + 2\/7*o**2 - 6\/7*o**s + 0*o + 6\/7*o**4.\nAnswer: -2*o**2*(o - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2*x + 3 + 7)*(-3*x - x - 3*x) to the form h + k*x + p*x**2 and give k.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 1311*u**4 - 4*u + 3027. Let p(i) = 2624*i**4 - 10*i + 6053. Let f(b) = 2*p(b) - 5*r(b). Find the first derivative of f(w) wrt w.\nAnswer: -5228*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (2 + (3 - 2) - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -7*h + 3*h + 17643, -2*p + 35274 = 2*h. Let u = 24023 - 53358. Let y = u + p. What is y rounded to the nearest one thousand?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33*(12\/3)\/((-1)\/(60\/(-144)))\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*j**3*q - 8181*j**3 - 1386*j - 14*q wrt j?\nAnswer: 18*j*q - 49086*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 25*c**2 - 19*c - 2. List the prime factors of l(-4).\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1*(-3 + sqrt(684) - sqrt(19)))**2.\nAnswer: -1936 + 120*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -1\/70?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**8)\/u*u\/(u\/(u**11\/u))*u assuming u is positive.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w**2. Let r be m(-2). List the prime factors of 2\/((3 - 2)\/r).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h - 41. Let v(i) = -48*i + 328. Let o(s) = -8*k(s) - v(s). Let t(z) = -17*z. Give t(o(n)).\nAnswer: -544*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 7, 1, -12, -1169 in ascending order.\nAnswer: -1169, -12, -5, -3, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.4 - 1.5. Let t = -22.4 - -7.7. Let q = 15 + t. Which is the closest to 3\/2? (a) q (b) 1\/2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.4? (a) 1\/9732 (b) 0 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.4216 and -0.5.\nAnswer: -0.9216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3422 in -2, -1, -1\/10, 0.5?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 4*a**2 + 13*a + 42. Let r(s) = 2*s**2 + 6*s + 23. Let q(b) = -23*b + 143. Let v be q(6). Let f(g) = v*r(g) - 3*y(g). Determine f(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/3)*z)**(-16)*((z**(-2\/13)\/z)\/z)\/z**(1\/7) assuming z is positive.\nAnswer: z**(-6451\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 355*m*z**4 + 17*m + 20*z**4 - 2*z - 1570 wrt z?\nAnswer: 1420*m*z**3 + 80*z**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5638438159 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 y, 1 a, and 1 l when four letters picked without replacement from uaylvvul.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*d - 14*d - 14*d + 504 for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -65\/3 or -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.245 - -10.245. Do -13 and s have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of l**6 + 11*l**4 - l**2 - 18*l?\nAnswer: 120*l**3 + 264*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {i: 12, v: 6}.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 83405 and -10.\nAnswer: -834050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/(-2)*(16\/(-10))\/2. Suppose 12 = j*i + 3*h, 4*i - 12 + 4 = -2*h. Let m = -0.03 + 0.06. Which is the second biggest value? (a) m (b) -3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3948029.892 rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 41 or 37?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*b - 492 + 1612 = 18*b for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7085002 micrometers to nanometers.\nAnswer: 708.5002","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -343*h**3 + 180*h**3 + 167*h**3.\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of -80*q**3\/3 - 419*q**2 - 3*q + 26. Differentiate w(c) wrt c.\nAnswer: -160","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -4\/5 (b) -4 (c) 0 (d) 3 (e) 0.04 (f) -0.333\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 d when three letters picked without replacement from {d: 1, k: 2, l: 2, h: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q = -197 - 75. Suppose -33*v + q*v = 5*h - 253, -2*h + 97 = v. What is the lowest common multiple of h and 65?\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -738 - -1419. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*v + 140 = 6*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a century in months?\nAnswer: 2800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*z = 19*z. Suppose -6*y + 84 + 6 = z. Suppose 44 = 2*f - f. What is the remainder when f is divided by y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, -15, -85, 823, 5, -2 in decreasing order.\nAnswer: 823, 5, 4, -2, -4, -15, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -1, -226, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 3\/7, 0, 21, -0.2 in increasing order.\nAnswer: -5, -2, -0.2, 0, 3\/7, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10480*d - 4340 = 10914*d for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -103791\nAnswer: 31137.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a hour in minutes?\nAnswer: 285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by 1329355.\nAnswer: -6\/1329355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 12:15 PM?\nAnswer: 9:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -171 + 185. Suppose 12*h = r*h + 8. Which is smaller: -0.12 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 16 (b) 990 (c) 0.2 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -184\/9 or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-295)\/(15340\/624))\/(3\/4).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1608*d**3 - 33*d - 188*d + 1615*d**3.\nAnswer: 7*d**3 - 221*d","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1620, 1406, 1034, 504?\n\"Answer: -79*r**2 + 23*r + 1676","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 583.77*2732\nAnswer: 1594859.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2 - 332*c - 333.\nAnswer: (c - 333)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68 + 76 + (-2 + 2 - 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003208072 to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18272 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74 - 6 - (-2)\/1 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 8 = -2*y. Suppose -i + 14 = -y. Is i a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 - 5*g - 4. Suppose n + 9 = -3*f, 2*f - 3*n = -3 - 3. Let v(s) = -s - 1. Give f*v(y) + i(y).\nAnswer: y**2 - 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 39\/15 + (-2)\/(-5). Let o = -7 - n. Let z be -4*2\/o*5. Solve 5*l + 4*p + 33 = 0, 6*l - 2*l - z*p = -12 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89*h - 90*h + 349*h - 91*h - 86*h.\nAnswer: -7*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0*(-3)\/12*2. Suppose -2*s - 99 = 2*t + 5, y = 3*t - 6. List the prime factors of -3 + 1 + s\/(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + (-5 - ((21 - 13) + (-1 - 17)))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 915433 a multiple of 342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 365745?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 20, -11, 4, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 2*f**5 - 1 + (2*f**2 - 2*f**2 + 2*f**5)*(-2 - 1 + 2) - 2*f**4 - 3*f**5 + 2*f**4 - 3*f**5 + f**5 + 3*f**5.\nAnswer: -6*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.14681 * -435.6\nAnswer: 63.950436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/171 or 18?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4 + 2725*n - 10401*n - 8088*n.\nAnswer: -15764*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1820 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -9, 2, 4, -2 in descending order.\nAnswer: 4, 2, 0, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b - 2*b**3 + 3*b**4 + 49 - 2*b**2 - b**2 - 42 + b**3 to the form q*b**4 + o*b**2 + w*b + v + h*b**3 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/13)\/(1\/2*2\/8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2281439? (a) -1 (b) 3 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*1*1*sqrt(70)\/sqrt(5))\/(5*-1*(sqrt(252) - ((sqrt(252) - sqrt(252)*-2) + sqrt(252)))).\nAnswer: -sqrt(2)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 4*x = 0, -23*b = -18*b + x - 24. Let z = -1 + 16. Calculate the remainder when z is divided by b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 5*w**2 - 1. Let l(t) be the second derivative of t**5\/20 - t**4\/2 - 5*t**3\/6 + 4*t**2 + 3*t. What is the smallest common multiple of m(1) and l(7)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 1710*m**2 + 540*m + 1080. Let a(c) = -3*c**2 - c - 2. Let r(n) = -540*a(n) - k(n). Let g(x) = -x + 0*x - x. Determine g(r(z)).\nAnswer: 180*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w + w**4 + 4*w**4 - 3*w - w**4 + 4*w**3 - 4*w**3 + (-2*w**4 + 2*w**4 - w**4)*(18 + 2 - 36).\nAnswer: 20*w**4 - w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 - 9*z + 16. Is q(-8) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 91*r**3 + 55*r**2 - 40*r**3 - 49*r**3 + (r**2 - 8*r + 8*r)*(2*r + 0 + 0).\nAnswer: 4*r**3 + 55*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = 4*s - 5*a, s + 0*a - 14 = -4*a. Let f(x) = x. What is f(s)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y - 2. Let m(u) = 3*u**2 - 22*u + 32. Let n(q) = -m(q) - 4*t(q). Determine g, given that n(g) = 0.\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -47657*h - 239696 with respect to h.\nAnswer: -47657","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -186511, -186507, -186503, -186499, -186495, -186491?\nAnswer: -186487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.2679 and 332.857.\nAnswer: 333.1249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19\/20 + -6\/5. Let q(s) = 5*s**3 + 2*s + 1. Let b be q(-1). Let r be ((-2)\/b)\/(15\/(-10)). Put r, 2, h in increasing order.\nAnswer: h, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c. Let n(v) = 7*v - 2 + 10*v + 4*v + 32*v**2 - 21*v. Give n(m(h)).\nAnswer: 128*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 3*p**2 + 35*p - 38. Let o(c) = 3*c**2 + 36*c - 39. Let u(g) = 3*k(g) - 4*o(g). Factor u(y).\nAnswer: -3*(y - 1)*(y + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -378 bigger than 102355?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 8. Suppose 7*m = 2*y + 3*m - 24, 2*y + 2*m - 36 = g. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17606909 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) -1\/8 (c) -51 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-3*2*(sqrt(85) + sqrt(85)*-1))\/(1*5*sqrt(30)\/sqrt(96)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) -5 (b) 4.3 (c) 4 (d) 1.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 - 24 = -12*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(288) + 2*sqrt(288) + sqrt(288) + -1 - sqrt(288))**2 + -2.\nAnswer: -72*sqrt(2) + 2593","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 95937.41 decades in months?\nAnswer: 11512489.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6427301651 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 - 7*x**2 + 8*x + 4. Let b be p(-8). Suppose q = -4, 25 = 4*u - b*q - 11. Let t be (-180)\/(-81) + 4\/(-18). Solve t = j + u for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -1. Let x = f + 2. Solve 4*v = -4*a + v + 31, 13 = -x*a + 5*v for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -62923108*j**5 - 11413656*j**2?\nAnswer: -3775386480*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 21, 1, -31, -75, -131?\n\"Answer: -6*o**2 - 2*o + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7.02 + -7. Let y = -0.02 + t. Let n = -7 + 7. Which is the closest to n? (a) 0.1 (b) 0.2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 3 + 1 + -9 + 5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 26314.26 to the nearest 100.\nAnswer: 26300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13193 is divided by 4382.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**3\/5 - 6*k**2\/5 + 72*k.\nAnswer: -3*k*(k - 10)*(k + 12)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -19 + 3 + -3 + (20 - 2).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 38 - 38. Let a(s) be the third derivative of j + 0*s**3 + 0*s - 1\/12*s**4 - 3*s**2. Let u(p) = -4*p. Give u(a(x)).\nAnswer: 8*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/95 and 48\/35.\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**22*b*b)\/(b\/b**(-3\/4)) assuming b is positive.\nAnswer: b**(93\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 - 2*c - 19. Let p(o) = o + 6. Let d(l) = -2*h(l) - 7*p(l). What is the smallest common multiple of d(4) and 6?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 168 and (2142\/(-408))\/(((-6)\/224)\/3)?\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 72 and 80856?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ng when two letters picked without replacement from ygeegyeyffytnyy?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -31*q + 3295. Determine b(106).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 105, 180, 253, 324, 393, 460, 525?\nAnswer: 588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of p**7\/70 - 101*p**5\/60 - 38*p**3\/3 + 2*p**2 - 18*p. Differentiate c(f) wrt f.\nAnswer: 12*f**3 - 202*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 3*p + 5 = 0, 3*z - 13 = 2*z - 3*p. Suppose -10 = 2*o + 2*a, -5*a - 49 + 24 = -4*o. Put z, o, -2\/7 in descending order.\nAnswer: o, -2\/7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -2*b**3 - 172*b**2 - 3864*b - 7056 = 0.\nAnswer: -42, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 538381 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 317.25 rounded to the nearest 10?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 PM and 1:29 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -3*x - 4*x**2 + 133 - 124 + 3*x**2 - 3*x. Let r be h(-7). What is the second derivative of 5*l + 3*l**4 + 1 - 1 + r*l wrt l?\nAnswer: 36*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 793\/273 - 12\/(-126). Solve 7 = -d*m + 4*f - 8, -f = 3*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k**2 + 16*k + 4. Let d be g(8). Sort d, 1, 5 in decreasing order.\nAnswer: 5, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -15*i - 43. Let d be y(-3). Let r be (-8)\/14 - (2244\/336 - d). What is the second smallest value in r, 0.3, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1104 and 28428.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 619?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14445109 is divided by 2309.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/165999255?\nAnswer: -2\/165999255","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 192405 is divided by 1355?\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of -w**6\/24 - 3*w**5\/10 - 5*w**4\/8 + 11*w**2\/8 + 3*w\/2 - 54. Find h such that a(h) = 0.\nAnswer: -3, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111*b - c = 109*b + 26, -5*b + 2*c = -67. Let a(j) = j**3 - 16*j**2 + 13*j - 8. What is a(b)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/156632060 and -79\/18.\nAnswer: 1409688540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2991, -2983, -2959, -2913, -2839?\n\"Answer: z**3 + 2*z**2 - 5*z - 2989","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/4580648 and -67\/8.\nAnswer: 4580648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.741 + -0.241. Which is the second smallest value? (a) 2\/3 (b) -0.07 (c) 1\/3 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33 + (2 - (32 + -12))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (3 - 14) + -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*k + k + 3*k + 5*k - 5 to l*k + x and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 - -6. Let k be (-38)\/(-6) - f\/9. Let v = -14390 - -14394. Solve -v*t = -3 + k for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 116715 - 116712. Determine x so that -1\/7*x**5 - 22\/7*x**2 + 11\/7 - 1\/7*x + 11\/7*x**4 + 2\/7*x**w = 0.\nAnswer: -1, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -131\/7 + 19. Suppose -4*t = -6*t. Suppose 0*f = 5*f - 5*u + 20, t = -4*f - 2*u + 8. Which is the nearest to h? (a) -1 (b) f (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10303*x**2 + 13933*x wrt x?\nAnswer: -20606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5\/6, -0.4, -32850, 0.5, 5 in increasing order.\nAnswer: -32850, -3, -0.4, 0.5, 5\/6, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2200 (base 4) in base 3?\nAnswer: 12221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 831*g**2*v - 107*v wrt g.\nAnswer: 1662*g*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-87)\/(-30) + -2)*(-17 - 2352\/(-126))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/606 and 50\/12221?\nAnswer: 73326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 174360314?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 3 t when four letters picked without replacement from xttttttxtxtttxtttt.\nAnswer: 364\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 41 = -9*o, -2*r = 2*o - 12 + 2 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108 is divided by 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -69*m. Give p(1).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 AM and 1:10 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -66502 (base 7) to base 12.\nAnswer: -9807","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 6:27 PM?\nAnswer: 7:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2207501 and 493.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((11\/8)\/11)\/((-1)\/(-18)). Let p = -3371\/2 + 1687. Suppose 3\/4 - m*c**2 + p*c = 0. Calculate c.\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8653187863 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 166 divide 28708?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*a + 42*a - 84 = 0 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 347*n**2 - 346*n**2 - 92 + n + 0*n - 3*n.\nAnswer: n**2 - 2*n - 92","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of -f**4\/12 - 17*f**3\/2 + 10*f**2. Let p be v(-21). Let j(m) = -2*m**3 - 12*m**2 - 4*m + 7. Is j(p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5 (b) -2\/17 (c) -29 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -7*a - 22. Put 2, 6, a, -2 in increasing order.\nAnswer: a, -2, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 4*m + 18, 17 + 3 = 2*s + 4*m. Suppose -3*o + 3 = -s*o. Solve o*c + c + 20 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -14*b**2 - 4393*b - 3335. Determine o(-313).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*o = -61*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -3, -0.5, 0.03, -2\/21 in ascending order.\nAnswer: -3, -0.5, -2\/21, 0.03, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, h: 2, c: 1, g: 1, r: 1, s: 1}. What is prob of sequence gor?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 - 13*w - 19. Let m be r(14). Let g(t) = -t**3 - 4*t**2 + 5*t. What is g(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 378 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**5\/u**(-5))\/((u*u**(-1))\/u)**(-12) assuming u is positive.\nAnswer: u**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of 21*q + 0 - 1\/2*q**2 + 1\/3*q**3 + 67\/12*q**4. What are the prime factors of h(1)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -14*k**2 + 16*k - 618. Let j(w) = 8*w**2 - 5*w + 206. Let n(g) = -10*j(g) - 3*l(g). What is the derivative of n(a) wrt a?\nAnswer: -76*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1975253727.\nAnswer: 3, 4639, 141931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 60*f**3 + 5*f**2 - 122*f + 20819267 wrt f?\nAnswer: 180*f**2 + 10*f - 122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - -2 - (7 - 3) - (28 + -17)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.21 (b) 0 (c) -3 (d) -2 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 755848.3l to millilitres.\nAnswer: 755848300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 0.4 (b) 4\/3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*y**3 + y**4 + 17*y**3 - y - 5*y**2 + y**4 in the form c*y**2 + v + r*y**3 + g*y**4 + t*y and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26378592 by -6.\nAnswer: -4396432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/18*(-33)\/22. Is -1 not equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7686*z**3 + 6554 wrt z.\nAnswer: -23058*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4\/151 + 250\/1963. Let d = 5 - -204. Let y = 206 - d. Which is the third smallest value? (a) y (b) -5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 216408 by -72136.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 - 27*c**2 + 8*c + 24. Is 10 a factor of p(27)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -r**4 + 25289151*r**3 - 15*r + 3382099.\nAnswer: -12*r**2 + 151734906*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -189 divided by -177.\nAnswer: 63\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = 4*n + 29, -24 = 4*y + 2*n + 2*n for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 229544.64 months to years.\nAnswer: 19128.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -106064, -212119, -318172, -424223, -530272, -636319, -742364?\nAnswer: -848407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-7)\/(294\/9)*(-2)\/(-3). Sort 0.0313, i, 0.\nAnswer: i, 0, 0.0313","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3304 - -3134. Which is smaller: -171 or g?\nAnswer: -171","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/((12\/(-21))\/(-4)). Calculate the greatest common factor of z and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-47 - 16*f - 17*f + 32*f)*(0*f**4 + 3*f**4 - 2*f**4) - 2*f**5 + 4*f**5 + 0*f**5.\nAnswer: f**5 - 47*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m + 36. Suppose -72 = -6*p - 42. Let g(z) = -3*z**2 + 4. Let f(x) = -4*x**2 + 5. Let s(c) = p*g(c) - 4*f(c). Determine s(h(j)).\nAnswer: 4*j**2 + 144*j + 1296","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (43\/(-3870))\/(8\/(-309)) and 53\/980.\nAnswer: 11760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-9 + 7 - (3 + -7)) + -8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v + 13. Let d be z(-11). Suppose 0 = 4*a + d - 10. Factor -24\/7*u**3 - 12\/7*u - 8\/7*u**4 - 2\/7 - 26\/7*u**a.\nAnswer: -2*(u + 1)**2*(2*u + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*j - 16, 0 = 5*v - 7*j + 5*j + 23 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 775?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 PM and 8:53 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 236.171 + -202.08. Round q to 0 dps.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3975000 rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -30990\/2501 or -11?\nAnswer: -30990\/2501","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7403 divided by -7403.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 159*q**3 + 17*q**2 + 24*q - 20. Calculate z(-2).\nAnswer: -1272","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 34*l**3 - 2*l**2 - 5*l - 3. Let b(y) = 102*y**3 - 6*y**2 - 14*y - 8. Give -3*b(h) + 8*c(h).\nAnswer: -34*h**3 + 2*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 910 + -7 + (-6)\/(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z - 13. Calculate w(10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3708, 7795, 11882, 15969?\nAnswer: 20056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 64.00078 + -64. Round i to 4 decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 22717231?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -862*b. Let f(u) be the third derivative of -u**5\/60 - 534*u**2. Calculate g(f(m)).\nAnswer: 862*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 88.2 and -157\/15 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.98 and 3570.\nAnswer: -3498.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 609*((-2)\/(-2) - (-5 + 5))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.44 - 0.418. Let h = t + -0.0211. Round h to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -200.9519 - 0.0481. Let j = -53 - y. Let z = j - 147.999939. What is z rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3450 (base 10) to base 7\nAnswer: -13026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 47393?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 0*b - 36 = 0. Let v = -6 + 32. What is the remainder when v is divided by b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1901 a factor of 103279429?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/27? (a) 3\/11 (b) -1 (c) 9 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -256*h + 23290. What is o(91)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6468929 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15526 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 78.3 - 78.30113. What is h rounded to 4 decimal places?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5.8405 and 9.\nAnswer: 3.1595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8 is divided by (-4 - -7) + ((-9)\/3 - -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12675 and 3214887?\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6560 and 16360.\nAnswer: 2683040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of -c**4\/4 - c**3\/6 - 7*c**2. Let k(q) = -q. Let p(g) = -12*k(g) + 3*y(g). Calculate p(3).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yqmh when four letters picked without replacement from {h: 4, m: 3, y: 2, q: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.3 - 0.2. Let u = -2436 + 2431. What is the closest to -2 in u, a, -1\/11?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8855 - -0.6?\nAnswer: -8854.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 118854 by 249.\nAnswer: 39618\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 4*j**2 - 73*j - 122. Let n be r(22). What is the highest common divisor of 169 and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/528 and -13\/1698480.\nAnswer: 18683280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -0.4, 0.3, 2\/5, 3\/34 in increasing order.\nAnswer: -0.4, 3\/34, 0.3, 2\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*m - 55*m - 165 - 131 - 24*m + 79 with respect to m.\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 840450463 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 405*y**2 + 19447*y + 281. Determine m(-48).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-39852)\/1107*(-23)\/12?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2*(13926 + 11 + -5 - -11).\nAnswer: 2, 73, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*t + 3*t. Let q = -0.1 - -0.1. Let u = 3 - q. Which is the third smallest value? (a) u (b) 5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11545 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of -3\/5*j**5 + 1\/3*j**3 + 7\/30*j**6 + 1\/4*j**4 + 0*j**2 - 3*j + 0. Factor i(p).\nAnswer: p*(p - 1)**2*(7*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + (19 - -60) + -49.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of h**4\/8 + 19*h**2. Calculate a(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 2 + 13. Suppose -2*v = -t - 9, -2*v + 3 = 2*v + t. What is the second derivative of 4*c**5 + 4*c - v*c**k - 4*c**5 - 3*c wrt c?\nAnswer: -40*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 596 + -383. Let u = -213 + z. Put u, 3, 8 in descending order.\nAnswer: 8, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 822*k**3*q**3 + 850*k**3 + 2*k*q**2 - 26*k*q wrt q.\nAnswer: 4932*k**3*q + 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 588758.534 rounded to the nearest one hundred?\nAnswer: 588800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -5*t**3 + 7*t**2 - 5*t - 5. Suppose 0*u + 17 = -u. Let w = -12 - u. Let b be v(w). What is b rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -595536342*q**6 + 10272*q**2 + 49 wrt q?\nAnswer: -71464361040*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -880 - -2944. What is the hundreds digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1286 and -1286 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -242, -483, -724, -965, -1206, -1447?\n\"Answer: -241*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 3*t**5 - 15057*t**4 - 60279*t**3 + 15021*t**2 + 241068*t + 180828 = 0.\nAnswer: -3, -2, -1, 2, 5023","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2773500 or 1?\nAnswer: 2773500","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.6722 - -0.1722. Sort y, 0.06, -39 in decreasing order.\nAnswer: 0.06, y, -39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 + 0. Let r = -5 - n. Is r a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*d - 84*d = -84 - 154 for d.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -6*g**3 - 49*g**2 + 17*g + 206. Determine a(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2946 is divided by 1358?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/224512 and 55\/56128.\nAnswer: 224512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 248 to the power of 1\/2, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110011110 - -110?\nAnswer: 110100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3691?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1*(-3 - -2))\/(16\/(-32)). Put -2, l, 0.13, 0.1 in increasing order.\nAnswer: -2, 0.1, 0.13, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by 1.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 371616 and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (h + h + 7*h + (h - 4 + 4)*(3 + 3 - 2))*(-8*h - 6*h - 208*h) as v*h**2 + r + w*h and give v.\nAnswer: -2886","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 120\/8362571?\nAnswer: 120\/8362571","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -141563065 (base 7) to base 4.\nAnswer: -203120223223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 10713, 10713, 10711, 10707, 10701, 10693, 10683?\n\"Answer: -b**2 + 3*b + 10711","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1948293 plus -5?\nAnswer: -5.1948293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b + 484 = -13. Let l = 75 + b. What is the highest common divisor of l and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**5 + 240*l**4 - 131454*l**3 - 8180956*l**2 + 2411482584*l - 4789193616 = 0. What is l?\nAnswer: -219, 2, 158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/8*(-2)\/6. Let z be 1*(-4)\/20*6 + 35 + (-11718)\/360. Determine y so that z*y + j*y**2 + 0 = 0.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12293 is divided by 407?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 45777*s**4 + 26161.\nAnswer: 183108*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-1) + (12 - -5). Let t be 9 + 2\/(10\/w). Suppose 0*o + 2*g + 32 = o, -2*g + t = o. Calculate the greatest common factor of o and 220.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/20 - (-777)\/370.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u**(-3)\/u)*u)\/u)**5*u**(5\/4)\/u**8 assuming u is positive.\nAnswer: u**(73\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4697 - -4494. Which is bigger: b or 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j + 12. Let t be i(14). List the prime factors of t\/2 + 29 + -2.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/9 - 79\/9. Let n = g + 8. Let i = 2 - n. Solve 0*o = -5*f + i*o + 24, o = -3 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9338*s + 264*s + 1420*s - 298506 for s.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -87 + 76 + (-1 - -399).\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7 + 188*m - 98*m - 98*m + (-1 + 1 - 2)*(m - 3*m + 0*m) + 7 - 5*m - 7 - 3*m - 2 + 2.\nAnswer: -12*m - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -z - 2*a, -7 = -5*z - 2*a + 5*a. Let x = -16 - -33. Suppose z*q - x = -5. Calculate the remainder when q is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 13*z**2 + 26*z - 8. Let y be x(6). Let u = -437 + y. List the prime factors of u.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 PM and 5:58 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) 0.5 (c) -0.4 (d) -0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 130 + (429879\/(-1785) - -111)\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1010940.0039 - -1011046. Let f = 106 - q. Let j = 0.00212 + f. Round j to four dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 11, 38, 83, 152, 251, 386, 563?\n\"Answer: b**3 + 3*b**2 + 11*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 23426 divided by -5\nAnswer: -23426\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22495792 is divided by 10779.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 170\/10) + (-5365)\/(-444)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21 and 12401557?\nAnswer: 37204671","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 43335 and 12489795?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2794 - -69?\nAnswer: -2725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1536723405601 and -5.\nAnswer: -5.1536723405601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 497482 take away -0.5?\nAnswer: 497482.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 - 15981973.\nAnswer: -15981973.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 3001.052 millennia?\nAnswer: 30010.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3082227km in micrometers?\nAnswer: 308222700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -0.00589803.\nAnswer: 0.01769409","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5283525 and 4800?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/6*(-70)\/7. Suppose -3*i = -5*w + i + 19, 5*w + i = 14. Let s(n) = 4*n**2 + 5 + 4*n + 0*n**3 + 2*n**w - 3*n**3. Give s(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1686315 + -4286315. Round d to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 1. Let q(n) = 4*n - 7. Let h(x) = 3*x**2 + 2*x - 3. Let l be h(-2). What is l*t(b) + q(b)?\nAnswer: 4*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -s, 5*i - 631 = 4*s - s. Suppose 5*f - 4*f = i. Is 0 + 2 + 1*f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*z - 21*z - 14*z)*(z - 1 + 1 + (-2*z + 4*z - z)*(-2 + 2 - 2) + 3*z + z - 5*z) + (-z + z - 2*z)*(2*z - 3*z + 2*z) + 3 + 4*z**2 - 3.\nAnswer: 102*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 3*n - 72 = -0*n, -4*g + 48 = 3*n. Suppose 0 = 4*d + d - g. 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 prob of picking 2 v and 2 s when four letters picked without replacement from vsssvss?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40 and 180?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 3*z = -30, -4*p - 3*z + 8*z - 44 = 0. Let k(l) = -8*l - 45. Let w be k(p). Solve -2*j = -w*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-317 + 456 + 135)*(2*x - 5*x + 4*x).\nAnswer: 274*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0 and 14841.806.\nAnswer: 14841.806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 7*m - 80. Is m a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -31 (c) 68 (d) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t**3 + 8*t**2 - 18*t + 37. What is o(5)?\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 979?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 33*h. Let f(o) = -2*o**2 + 9*o. Determine f(a(g)).\nAnswer: -2178*g**2 + 297*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 5*u + 35, -3*k - 12 = 5*u - 1. Let y = 17 + -19.6. Let g = y - 0.4. Which is the nearest to -1? (a) g (b) k (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5124 - 1616?\nAnswer: 3306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 96 = 5*l - 0*m, 4*l - 3*m - 83 = 0. Calculate the highest common factor of l and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/(-5) + (-3 + 83)\/16)\/((-19)\/95).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 + 68 = k. Let d = k - -1. Suppose 8*t = d*t - 590. What are the prime factors of t?\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/7, -2, 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3403229 - 3402043.6935. Let h = d - 1185. Let p = 0.3 - h. What is p rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 3) to base 5\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -45.272? (a) 0.6 (b) -10 (c) 0 (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 15*q**3 - 21*q + 9. Let s(p) = -103*p - 1348. Let g be s(-13). Let y(t) = -4*t**3 + 5*t - 2. Calculate g*y(a) - 2*o(a).\nAnswer: 6*a**3 - 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((3 + 0 + sqrt(153))*-1 - (5*-5*(sqrt(17)*2 + 5 - sqrt(17)))**2).\nAnswer: 37518*sqrt(17) + 157518","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -7. Suppose -o*x - 3*x + 20 = 0. Solve 0*b - b - 2 = -q, -x*q - 5*b = 37 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1612\/(-310))\/(-26)*-11*1.\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4919*h**2*v - h**2 - 68*v - 51 with respect to h.\nAnswer: 9838*h*v - 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i**2 + 12*i - 5. Suppose -7 = -4*f + 13. Let a be y(f). Solve a*o - 8 = n + 12, -2*n + 10 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/13 (b) -3 (c) 2 (d) -2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-21)*5089 - 10. Suppose 76*k + 0*k - f = 0. Let i = 2 - -14. Solve i = 4*y, 2*t - 3*y + k = 3 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(6\/(-2) + 1). Suppose m = i - 3*i + 10. Suppose 5*n - 3*n - 5*c = -1, i*n + 2*c = 12. Solve n*o - 4*h = -2, -12 = -4*h - 0*h for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 4\/5 + 1\/5*w**2 = 0. What is w?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11869092?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62503*l**3 - 6001542*l + 6001542*l.\nAnswer: -62503*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(3025) + sqrt(3025) + -2*3*sqrt(3025))\/(sqrt(405)*-4*-5 + sqrt(405)))**2.\nAnswer: 152564\/35721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 368 and 160.\nAnswer: 3680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (23\/46)\/(((-275)\/20)\/(-11))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 + -5. Suppose -h*u + 6 = -4, 4*u - 76 = -4*c. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -10*g**3 - 24*g**2 - 715*g + 2. Let u(q) = -q**3 - 3*q**2 + q. Determine -r(m) + 8*u(m).\nAnswer: 2*m**3 + 723*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.9*-14\nAnswer: -12.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, -5, 5 in decreasing order.\nAnswer: 5, 2, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.3 or 90519.982?\nAnswer: 90519.982","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-27)\/36)\/((-73082)\/10440 - -7). Round n to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35210?\nAnswer: 2, 5, 7, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 - 16*y**2 + 2*y + 3. Suppose -4*t - 38 = -3*j - 9*t, 5*t + 26 = j. Let u(c) = 2*c**2 - 5*c. What is the remainder when b(j) is divided by u(4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1458146719 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ishx when four letters picked without replacement from xhzhjhjjsshhhxjhxihj?\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -55998*s - 6. Let y be d(3). What is y rounded to the nearest ten thousand?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = p + 2*h, h + 3 = p - 4. Factor -k + k**2 - 52*k**p + 51*k**3 + k.\nAnswer: -k**2*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3*(-1)\/3*7. Let a(k) = -5*k**2 + 9*k + 5. Let t = -7 - -13. Let o(z) = 4*z**2 + 4 - 6*z**2 + 8*z - 2*z**2. What is d*o(i) + t*a(i)?\nAnswer: -2*i**2 - 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -990*o + 3450 = -2509 - 8891 for o.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.0294 and 149229.405721.\nAnswer: 149229.376321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eey when three letters picked without replacement from {y: 4, e: 2, g: 3, z: 2}.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11456 and 13962.\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3\/15 + 1072*i**2\/5 - 3218*i\/15.\nAnswer: 2*i*(i - 1)*(i + 1609)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -57, 4, 32, 28.\nAnswer: -57, 0, 4, 28, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -153323550*v**5 - 32*v**2 + 2847*v - 17.\nAnswer: -9199413000*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 12:28 AM?\nAnswer: 4:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 377520 is divided by 726?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56, -78, -134, -236, -396, -626?\nAnswer: -938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -675 = -3*v + 8*v. Let o = 96 - 157. Let x = o - v. List the prime factors of x.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -87\/20 + 2477\/540. Calculate the common denominator of -77\/360 and u.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -76 - -76.7. Put c, 0, 2, -2 in ascending order.\nAnswer: -2, 0, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 147.81 + 529.09. Let o = -9.9 + s. Let a = o - 666.999581. What is a rounded to five decimal places?\nAnswer: 0.00042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -38*o**2. Let r(k) = -3995*k. Calculate r(z(v)).\nAnswer: 151810*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3*((-1)\/3)\/1. Let u(i) = 12*i**2 + 7*i - 7. Let l(r) = 6*r**2 + 4*r - 4. Let c(t) = -5*l(t) + 3*u(t). Is c(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 76\/75 and 121\/17170?\nAnswer: 257550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 + 7*g - 8. Let h be q(-8). Let o = -103 - -154. Let n be 2\/(-20) + o\/10. Solve h = -w + n*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 1 - 4. Let a = f + 2. Let u(x) = 8*x**2 + 2*x + 1. What is u(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23464.\nAnswer: 2, 7, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1822)\/(-10) - ((-117)\/15 - -8). Let w(t) = -t**3 - 8*t**2 + t - 6. Let c be w(-5). Let k = c + x. Is k a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 5*t = 8 + 11, 2 = -4*o + 2*t. Calculate the remainder when 4 is divided by o.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110 - -1112?\nAnswer: 1222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + 12*r**4 - 11)*(2 - 6 + 3) + (-2*r - 3*r + 3*r)*(2*r**2 + r**3 - 2*r**2).\nAnswer: -14*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1381562687 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(-6)*((-232)\/(-40) + -7)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 981 = 3*y + 4*a - 23, 0 = 3*y - 2*a - 1010. Let p = -336 + y. Sort p, -2, -5, 3 in decreasing order.\nAnswer: 3, p, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 3*w - 8 = 0. Suppose -3*z - 5*s = -4*s, -2*z + 2*s = -w. Sort 3, z, -3 in ascending order.\nAnswer: -3, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*b + 2*b + 28 = 0. Suppose o - 1 = -b*h, 3*h + 4*o + 1 = -0. Let d(y) = -2*y**3 + 5*y - 5. Let m(l) = -l**3 + l - 1. Determine h*d(r) - 5*m(r).\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 17*j**2 + 6*j - 1. Let t(a) = -3*a. Calculate h(t(i)).\nAnswer: 153*i**2 - 18*i - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*w - 2743*w**2 + 5453*w**2 - 2712*w**2 + 67*w**3.\nAnswer: 67*w**3 - 2*w**2 + 18*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115961339?\nAnswer: 13, 8920103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 1 = -3*g. Let l = 3395 + -3404. Let s(y) = y**2. Let j(m) = 12*m**2. Give g*j(h) + l*s(h).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -13. Let a be -4 - (-3 - -6 - o). Suppose -4*g + 2*g - 23 = -a*j, -3*j - g + 29 = 0. Calculate the remainder when j is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 43261, 86518, 129761, 172978, 216157, 259286?\n\"Answer: -2*z**3 + 5*z**2 + 43256*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 47091?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -43, 2, 1, 7, -17049, -2.\nAnswer: -17049, -43, -2, 1, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 99\/(-36) - (-66140)\/16. What is the highest common divisor of 243 and t?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 129, -1\/8, 6\/7, -0.1 in ascending order.\nAnswer: -1\/8, -0.1, 6\/7, 129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 divided by -5?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 94 - 371\/4. Suppose -2*m + 9 - 21 = 0. Let i be (-3)\/9 - 2\/m. Which is the closest to i? (a) 0 (b) -3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 3*c + 50. Let w(m) = -10*m - 134. Let g(n) = 3*w(n) + 8*x(n). Suppose d + 0 = -3. Let h be g(d). Solve -6*y + 2*y = -h for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 528 and 145022184.\nAnswer: 3190488048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*r - 10678 = -3830. Let q = r + 802. What is the hundreds digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11330301033 (base 4) in base 16?\nAnswer: -17cc4f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6589, -14051, -22389, -31603, -41693?\nAnswer: -52659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 167595562?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -21*v + 85. Let l = -90 - -90.49. Let w = l - -0.01. What is the nearest to 1 in 0.3, v, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-14)\/(-4)*4\/7. Let k(s) = 98*s + 1 + 1 - 4 - w. What are the prime factors of k(1)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1243824 or 50996780\/41?\nAnswer: 1243824","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 0.5, -2\/411, 1.1, -0.03?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 282795674 a multiple of 959?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 17853?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3 + 60*w**2 - 2*w - 60.\nAnswer: 2*(w - 1)*(w + 1)*(w + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 555225*c**3*v + 2*c**3 + 7*c**2 + 18*c + 77 with respect to v.\nAnswer: 555225*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10101110100 + 100011?\nAnswer: 10110010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1120798 and 84294?\nAnswer: 3122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 711100421 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 AM and 8:12 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 26*f**2 - 38*f + 22. Let x(j) = -25*j + 373*j**3 + 23 + 12*j**2 - 372*j**3 + 15*j**2 - 11*j. Let i(q) = -3*b(q) + 2*x(q). Factor i(m).\nAnswer: 2*(m - 10)*(m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -290*a + 75*a + 1173 - 8508 = 2340 for a.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53632797 divided by -65969.\nAnswer: -813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 2*t**3 + 50*t**2 - 1122*t - 1170 = 0.\nAnswer: -39, -1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -57897521.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) 0 (c) -1106 (d) 0.1 (e) 2\/333\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 664\/72 + (-17 - -8)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6522623 is divided by 1788.\nAnswer: 1787","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 33268603 rounded to the nearest one hundred thousand?\nAnswer: 33300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 4*r - 21655 = -21711, 2*w + 17 = 3*r for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 49\/((-833)\/(-187)) + (0 - 0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 57 + 142. Suppose -4*a + b - 1 = 0, 5*u - 3*a = 413. List the prime factors of u.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -45 (b) 1 (c) -7 (d) -0.009\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9512263 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -122572, -245151, -367730, -490309, -612888, -735467?\n\"Answer: -122579*v + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -140 - (-35 + -91 - -52).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -27*i**5 + 654*i**4 - 1261*i**2 - 4507*i - 66545.\nAnswer: -540*i**3 + 7848*i**2 - 2522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11477*p + 4154*p + 5856*p to v*p + w and give v.\nAnswer: 21487","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -212*s - 1 + 1 - 195*s.\nAnswer: -407*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 595569.\nAnswer: 3, 13, 15271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -3*k + 25 - 47 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 7, 7, 5, 1?\n\"Answer: -t**2 + 3*t + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*p + 3 = 104*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -60 less than or equal to -61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 14*w**2 + 6*w - 1. Let i(q) = -27*q**2 - 11*q + 2. Let c(u) = 6*i(u) + 11*p(u). Find the first derivative of c(b) wrt b.\nAnswer: -16*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/612657 and -47\/573.\nAnswer: 117017487","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/1280 and 87\/10240.\nAnswer: 10240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-7 + 12)\/(6\/(-12))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45.04*157.\nAnswer: -7071.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.45 - -94.95. Let d = f + -87. Let h = d + -13. What is the nearest to -0.1 in h, 2, 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001811371 rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 79*p**2 - 1. Let z(b) = -2*b**2. Give j(z(u)).\nAnswer: 316*u**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -0.557, 1 in increasing order.\nAnswer: -1, -0.557, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106975*v + 106426*v = 11529 for v.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24473\/1080350 - 17\/775. Which is greater: d or -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/8)\/(189\/(-84))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 5 (c) -514\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*w + 17*w - 456 = -4*q, 0 = -3*q - w + 361. What is the remainder when q is divided by 2 + -3 + 0 - -31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i**4 - 4*i**3 - 5*i**2 + 0*i + 6*i**2 - 2*i**2 - i to s*i**2 + x*i + t*i**4 + u*i**3 + h and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 4 (b) -0.08 (c) -2 (d) 1\/4 (e) 0.3 (f) -0.015 (g) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 PM and 8:54 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/282948 and 95\/10372278?\nAnswer: 394146564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 35*z**2 - z. Let l be (-8)\/(-6) + 2\/(-6). Let g be o(l). Let h = 57 - g. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 656 * -92110\nAnswer: -60424160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 + 23*w + 24. What is the units digit of h(20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -88 + 90. Suppose -3*r = -a - k*r - 1, -a + 3*r - 5 = 0. Sort -0.5, a, -3 in increasing order.\nAnswer: -3, -0.5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1023812.\nAnswer: 2, 311, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c - 5*f - 510 = -2*c, -4*f = 2*c + 202. Let s = c - -167. Let z = 2 + 14. Calculate the highest common factor of s and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**9)**(2\/3)*(b**(-7)\/b)**(-9\/4) assuming b is positive.\nAnswer: b**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of v**4\/6 - 2*v. Suppose -9*x = -4*x - 15. Let k(m) = -7*m - 3*m - x*m + 17*m. Determine k(t(i)).\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 53*h**3 - 311*h**2 + 6*h - 290. Calculate n(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 2*v = -2508. What is the greatest common factor of 38 and v?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c**3 - 12*c**2 - 4*c + 4. What is g(6)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 15) to base 11\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13651)\/(-748)*(-10)\/(-365)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22.951 + 0.049. Let t = r + -17. Which is bigger: 2 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*i - 2*i + i)*(-3*i**2 - 2*i**2 + 3*i**2).\nAnswer: -20*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001831769 rounded to 6 dps?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - -1001101?\nAnswer: 1001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of -3*p**8\/56 - 157*p**5\/20 + 985*p**4\/12 + 757*p - 2. Find the third derivative of i(f) wrt f.\nAnswer: -360*f**3 - 942","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 2. Let n = 123 - 101. Let a = -22.3 + n. What is the third smallest value in -0.2, a, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(16)\/sqrt(8)*-2)**2.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5088 - -5095. Solve -7*o + 3 = -5*o + d, -5*d - n = -o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.26 and 0.15?\nAnswer: -0.039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 PM and 9:30 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 146 - 148. Let c(w) be the first derivative of -w**3 + 1 + 2*w + 0*w**2 - 1\/4*w**4. Determine c(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -117 divided by -42826.\nAnswer: 117\/42826","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 2*k - 3 = 0, 9 = 3*y + 2*k - 6*k. Suppose y*g - 6*g + 48600000 = 0. Round g to the nearest 1000000.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, 6, 17?\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -2*z + 37, 4*z + 30 = 5*o + z. Let l(k) = 319*k + 29. Let c be l(o). Round c to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (873\/(-194))\/(1\/(-10)) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1*(2*sqrt(2736) + 2) + -2).\nAnswer: -120*sqrt(19) - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 951935 and 190387?\nAnswer: 951935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, x: 1, q: 1}. Give prob of sequence xd.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 622 divided by -2?\nAnswer: -311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-64)\/40 + 2 + 0.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 6*u. Let d be 3*-1*(-2)\/(-2). Let a be d\/2 - 5\/2. Sort -1, u, a in increasing order.\nAnswer: a, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - ((-69 + 0 - -12) + -1).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -4*w**3 + 101*w**2 - 197*w + 45. Calculate f(23).\nAnswer: 275","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 375 and 66153.\nAnswer: 8269125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 96468?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 11*o**2 - 231*o - 24. Determine t(21).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of q**3 + 3*q**2\/2 - 18*q + 28. Factor l(p).\nAnswer: 3*(p - 2)*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0602114 - 0.1.\nAnswer: -0.1602114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 3*c = 27 - 47, 0 = -h + 4*c - 44. Factor 4\/3*o**3 - 10\/9*o**h + 0 + 0*o + 0*o**2 - 2\/9*o**5.\nAnswer: -2*o**3*(o - 1)*(o + 6)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7175\/75 + (-2)\/3 is divided by 26.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*1 - (58\/2 + -23)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 4\/9, -1\/9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 - 2*z**2 - 3*z + 3. Let o be x(3). Put o, 5, 0 in ascending order.\nAnswer: 0, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 3*n + 1 = 0, -10*n - 7 = -k - 5*n for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 8*k**3 - 3*k**2 + 5*k - 2. Suppose 4*n - 3*f + 16 = -8*f, 2*f = 3*n - 11. Is g(n) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*a + 7. Suppose 15*s - 21*s + 30 = 0. Let w be -2 + 1*(0 - 1). Sort w, s, a.\nAnswer: w, a, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1571 greater than -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2. Let y = -3 + 6. Suppose 129 = 9*k + 12. Let c(j) = -k*j**2 - y*j + 0*j + 3*j. Calculate c(q(d)).\nAnswer: -13*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2288 + 1375. Let t be 48\/12*126\/(-4). Let z = t - f. Is z 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 h, 1 k, and 2 q when four letters picked without replacement from hkhqhhqqs?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 5*p + 24 = 0. Let a be 953998\/(-48) + (p - -8). Let x = a - -19883. Find the common denominator of 37\/15 and x.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 119728323?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.2 (b) -2081 (c) -13.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + 2*y**2 + 12*y - 9. What is c(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*l + 51*l + 9*l as a*l + y and give a.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 1528275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -6, 5, -2 in increasing order.\nAnswer: -6, -4, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + 0)**2 + sqrt(68)\/(sqrt(4) + sqrt(36)).\nAnswer: sqrt(17)\/4 + 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 + 8 = 5*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = r + 12. Is (8\/r)\/((-6)\/1143) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 20 = -5*t, -25 = 4*v + 3*t - 9 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express a**2 - a**2 - 802*a**3 + 878*a**3 - 3*a**2 + 3*a in the form d*a**2 + u*a**3 + v + q*a and give u.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 8 = 4*h. Suppose 0 = -0*g - g - 2*s + 784, 0 = -h*g - s + 3101. What is the hundreds digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 22962 = -3804. Let l(o) = 3190 + o - o - a + o**2. Determine l(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3459397 to the power of 1\/4, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -438 greater than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-6)\/4)\/(9\/(-528)) + 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1044*m = -1055*m + 121. Calculate the lowest common multiple of m and 1063.\nAnswer: 11693","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.4257296 + 0.10573012. Let m = b - -0.32. Round m to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 82846032?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is 71420360\/1231230 - (-116)\/(-2)?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-1\/4)*h*h**(-5)*(h**(-1\/3)*h*h)**36 assuming h is positive.\nAnswer: h**(223\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4190056, 8380191, 12570326?\nAnswer: 16760461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 4*m - 9. Let x be ((-5)\/3)\/(70\/84). Let i(v) = v - 3*v + v + 2. Let b = 2 + -11. Determine b*i(r) + x*z(r).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -181, -185, -215, -283, -401, -581, -835?\nAnswer: -1175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 - 6*k**2 - k. Let t(p) = -31*p - 13. Let u be t(-1). Suppose u = 6*l - 3*l. Calculate h(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4, 22, 46, 70, 88, 94, 82?\n\"Answer: -f**3 + 9*f**2 - 2*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 PM and 2:08 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 - 16*l**2 - 69*l + 6. Give s(-8).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8045070?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8812, 8875, 9048, 9385, 9940, 10767, 11920, 13453?\nAnswer: 15420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 18, -3, 0.5, -4, 0.04, 4, -3\/2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -3*d. Let c(o) be the first derivative of 0*o - 1\/2*o**2 + 1. Calculate c(w(q)).\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -3*u - 2. Let f be z(1). Sort -1, 2, f, -4 in decreasing order.\nAnswer: 2, -1, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -5*o - 5*y + 43, o - 3 = 2*y for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 7*w = -2*w - 929, -5*w + 1165 = 5*a. Is a a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4153646?\nAnswer: 2, 7, 227, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 10*z + 15 = 0. Suppose -2*m - 32 = -5*n - m, 0 = -5*n - 2*m + 26. Let a be ((-1)\/n)\/((-1)\/3). What is the nearest to 1\/3 in z, a, 3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 204, 3, 1\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7627 and 232?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8 - -2)\/(-8 - -7 - -3). Solve k*b + 2*g = -0*g + 4, g = 2 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1853 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 64*q - 8118 = -69*q, -2*v + 2*q = -8090. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3002\/(-133) + (-8 - -31).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of -p**8\/56 + 34*p**6\/5 - p**4\/12 - p**3\/2 + 29*p**2 - 4*p + 1790. What is the third derivative of y(w) wrt w?\nAnswer: -120*w**3 + 4896*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -2*p**4\/11 - 20920*p**3\/11 + 1771062*p**2\/11 - 3479356*p\/11 + 1729216\/11 = 0.\nAnswer: -10544, 1, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -5, 147.18, 4\/7, 3.\nAnswer: -8, -5, 4\/7, 3, 147.18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + t + 101 = 308, 0 = -5*i + t + 213. Calculate the highest common factor of i and 861.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27\/235 - -4\/47. Let x be -3*((-16)\/(-60))\/2. What is the closest to s in 3\/2, -0.5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + -414?\nAnswer: -420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -19509*u - 114. Let c be b(-5). Suppose -32*t = -391799 + c. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3868*a*d**2 + d**2 + 2*d + 1347 with respect to a.\nAnswer: 3868*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, -0.31, 16?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 15258.\nAnswer: 1\/15258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s**2\/7 - 3*s + 5\/7 = 0. What is s?\nAnswer: 1\/4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p = 9*p + 45*p - 6794. What is the remainder when 785 is divided by p?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-14)\/(-21) + 4\/3. What is the third derivative of 7*j**3 + j**3 - 200*j**2 + 254*j**v - 2*j**5 wrt j?\nAnswer: -120*j**2 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1799*h**2*r**2 - h**2*r - 71*h**2 + 7 wrt r.\nAnswer: 3598*h**2*r - h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3630 and -84065.188?\nAnswer: 80435.188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 17.624 times 1\nAnswer: 17.624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 26*o - 36. Let w(x) = -9*x + 12. Let c(h) = 4*r(h) + 11*w(h). What is the derivative of c(v) wrt v?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4804?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 (base 6) in base 2?\nAnswer: 10001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1079696 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 360 - (-24)\/(-4) - 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-9)*-114 - 2\/(-3). What is the greatest common divisor of 286 and t?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -265*t + 9611. Determine l(37).\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 - 7*i - 3. Let y be g(-6). Let r(d) be the first derivative of -d**y - 3\/2*d**2 - 1\/4*d**4 - d - 2. Factor r(a).\nAnswer: -(a + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.051? (a) 0.4 (b) 2566 (c) 0.5 (d) -3\/4 (e) 37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 740374473 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/843 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2958156391 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + -2)*4 - sqrt(4)\/(sqrt(10)\/sqrt(5)).\nAnswer: -8 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 351 = 131. Let u = -25 + t. Calculate the highest common divisor of 19 and u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/4 + 767928*n + 3071711\/4.\nAnswer: (n + 1)*(n + 3071711)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 0, 642 - 63 = 3*u + 4*b. Does 20 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.2 - -3. Let n be 6\/(-8)*88\/231. Let d be 3 - 1*76\/24. Sort v, d, n in ascending order.\nAnswer: n, v, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kqqauqutbtt. Give prob of picking 2 u and 1 t.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10022100100 + 0?\nAnswer: 10022100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 + 6*o**2 + 8*o - 7. Let i be f(7). Let q be (i - -2)\/(-4) - 1. Let g = 0.99 - -1.01. Which is the nearest to g? (a) 2\/11 (b) 4\/3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 19, -242.\nAnswer: -242, 9, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/70? (a) 2 (b) 0.01065 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22464 and 918.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 935 = 5*t + 870. Calculate the remainder when 1766 is divided by t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5101, -5070, -4947, -4672, -4185, -3426, -2335, -852?\n\"Answer: 10*d**3 - 14*d**2 + 3*d - 5100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -268*f - 12 + 2232*f + 12 + 1488*f to y*f + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in -8, 3776, 5, -5\/2, 2?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 7*c + 20. Let b(z) = -3*z**3 + 5*z**2 - 4*z. Let t(w) = -2*w**3 + 4*w**2 - 4*w. Let a(h) = c*t(h) + 3*b(h). Calculate a(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -93*(8\/(-36))\/((-28)\/(-126336))?\nAnswer: 2, 31, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (45410\/27265 + (-4)\/(-82))\/3\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1260753*j**2*w**2 - 8*j**2 - 219262*w wrt w.\nAnswer: -2521506*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23643 and 426?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21 and 210.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -873*w - 16680. Calculate f(-19).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 676, 0, 6 in decreasing order.\nAnswer: 676, 6, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 52 or -236?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of 1\/12*c**4 + 0 + 1\/120*c**6 + 0*c + 0*c**3 + 1\/15*c**5 - 19*c**2. Calculate s(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -4\/3 (b) -5 (c) -0.2 (d) -30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 2*w**4 + 384*w**3 + 18684*w**2 + 12160*w - 1137150 = 0.\nAnswer: -95, -9, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 (base 12) in base 3?\nAnswer: -1012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 16 = -u - u, -3*u - j + 28 = 0. Let n = -2.09 - -1.69. Let m(g) = 3*g + 3. Let y be m(-2). What is the second biggest value in n, y, u?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3560119, -3560114, -3560109?\nAnswer: -3560104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 258350315 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 84, 77, 70, 63?\n\"Answer: -7*g + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -70139, -280434, -630895, -1121522, -1752315, -2523274, -3434399?\nAnswer: -4485690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -215 - -638. Let b = 646 - s. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27)\/(-3)*(-236)\/(-16992).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -5 (b) -3\/7 (c) -25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1, 0.03, -0.3, 5, -1\/19?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6572 + 6572.000010865. What is p rounded to six decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 42\/(-9) + (-8)\/(-12). Let x be (-3 + 0)*(-44)\/3. What is the remainder when 31 is divided by ((-2)\/n)\/(2\/x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 480713 is divided by 4303.\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -128*i**2. Let v(g) = 37*g**2 - 2*g. What is v(x(q))?\nAnswer: 606208*q**4 + 256*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 16\/(-20)*90\/(-4). Let p be 740\/f + (-1)\/9. Let d(q) = -41*q + p*q + 6*q**2. Let n(w) = -2*w. Calculate n(d(u)).\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -342 + 356 - 5*3. Let v(h) = -h**2 - 15*h + 6. Let z be v(-8). Let y be z\/57 - (-2)\/(-3). Which is smaller: y or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7678 or -7679?\nAnswer: -7678","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**2 + 2*g**2 - g**2)*(-g + 4*g - g) + (4*g - 4*g + 2*g)*(3 - g**2 - 3).\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 11:35 PM?\nAnswer: 9:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 121 - 224. Let s be -8 + 276\/30 - (-7)\/14*-4. Which is the smallest value? (a) s (b) k (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 130*h**4*q - 2*q - 26 wrt h?\nAnswer: 520*h**3*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 122*w**2 - 9*w - 36. Let u(h) = -121*h**2 + 10*h + 24. Give 2*c(x) + 3*u(x).\nAnswer: -119*x**2 + 12*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(10)\/((sqrt(6)\/sqrt(3)*4 - sqrt(2)) + sqrt(2)))**2 + sqrt(270)\/sqrt(6)*-6).\nAnswer: -5\/16 + 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from tfgtlstlssglwsf?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5435465 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-4) - 15\/(-12). Let j(f) = -13*f**2 - 3 - 20*f**i + 46*f**2 + 3*f. Is j(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -612132919\/100 + 24698805\/4. Let g = 17231594871\/322850 - c. Let h = -1\/1174 - g. Find the common denominator of h and 89\/20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1815702?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1555138 less than or equal to 1555139?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (18\/(-15))\/(((-8)\/20)\/1). Let q be (84 - (4 - j))*(-5 + 6). Let t = q - 55. Calculate the highest common divisor of t and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 326335009, 326335010, 326335011?\n\"Answer: y + 326335008","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from okhkohkjkjjko. What is prob of picking 1 j and 1 k?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -22*n**2 + 38*n + 6. Let f(v) = 110*v**2 - 189*v - 29. Let b(r) = -2*f(r) - 11*j(r). Determine m so that b(m) = 0.\nAnswer: -2\/11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 111 - 105.62. Let d = -102.2 - -101.58. Let b = t - d. Is -1\/2 > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g**3 + 39*g**2 - 12*g + 23. Let l(u) = -u**3 + 20*u**2 - 6*u + 11. Let i(k) = 11*l(k) - 6*p(k). What is the tens digit of i(14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.3 and 557.317995.\nAnswer: 557.617995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + 3 - (-3 - 55). Suppose -4*j + 78 + p = 0. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000346383 to 6 decimal places.\nAnswer: -0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 + 2*d - 2. Let p(c) = 2*c - 2. Let b(m) = -3*p(m) + 2*x(m). Let a(k) = 4*k**2 + 3*k - 3. What is -3*a(y) - 5*b(y)?\nAnswer: -2*y**2 + y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 2. Suppose -72*l + 5331 - 1731 = 0. Suppose -5*m = -4*o - l, 2*o + 3 = -j*m - o. Solve 4*z + 12 = 2*h + m*z, 4*h = -z + 15 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -41843\/6 and -6974 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2213 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 PM and 2:46 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -6*n**4 + 18*n**3 - 38*n**2 + 26*n + 15. Let a(l) = l**4 + l**3 - l**2 - l - 3. Let s(i) = -5*a(i) - h(i). Find q such that s(q) = 0.\nAnswer: 0, 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*u + 4005 = -u + 4707 for u.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 3*x + 1. Does 22 divide y(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5650 and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = 2*w + 4*a + 7, 5*a + 3 = -2*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68985 = -1478*q + 994*q - 1061*q + 51525 for q.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 3090*r**2. Let h(u) = -2269*u - 11. What is h(d(c))?\nAnswer: -7011210*c**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 8 + -7 - 11.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/6 - (60\/(-330) + 130\/231).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-12 - -10 - -7)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 1564?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/23 smaller than 69?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.8 - -13.2. Let c = j - 13.5. Put -0.3, c, -2\/3 in ascending order.\nAnswer: -2\/3, -0.3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 4*g - 36 = 0. Let b be 140\/63 - (-4)\/g. Solve w + 11 = -5*v + 3*v, 2*w + b*v = -12 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(2 + 4\/(-8))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3006775931 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -6*o - 20. Let j be p(-4). Let y be ((j - -5)\/(-36))\/(22\/(-16)). Which is the closest to 0? (a) 0.3 (b) 2\/19 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -48862290 divided by -2\nAnswer: 24431145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 129 in 0, 550, -2122?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 2 (c) -2537.59\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 11*z**2. Let k(n) = 5*n + 10*n - 17*n. Calculate s(k(c)).\nAnswer: 44*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -42.072277 + 42.07. Round h to 4 dps.\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -199 - -201.168. Let r = i + -0.048. What is r rounded to one dp?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -134*k - 2555. Is y(-85) a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7335589\/146545 - 1752\/35. Is k bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71 = -229*d - 387 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -x - 15. Calculate the remainder when 41 is divided by x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000034222707 rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 57929?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11972491 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8030?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 g, and 2 w when four letters picked without replacement from gaooooogqoww?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167486 is divided by 20879?\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 14110 a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24 - -37. Let d = -33.051 - -33. Let o = d + -0.949. Which is greater: g or o?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2097e0 - 2?\nAnswer: -2097e2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2267?\nAnswer: 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 5*w = 2*o + 4, 22 = 5*w - 3*o. Suppose 0 = 2*m + w*n - 3116, 5*m - 7822 + 20 = -n. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3466360912 to the nearest integer?\nAnswer: 1513","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*v**2 - 2*v**2 + 2 - 4.\nAnswer: -15*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/11573485 and 16\/14880195.\nAnswer: 104161365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 378974?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 - 21*d - 14. Let u be c(14). Let w = u - -186. What is the second derivative of -20*n**4 - 74*n**3 - 4*n + w*n**3 wrt n?\nAnswer: -240*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*b + 16*b - 436. Let c = 238 - b. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 45 - 2*f - 7*f + 7*f. Calculate the remainder when v(-16) is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*m - 8 = -50*m - 3*g, g - 6 = 2*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert c4 (base 16) to base 11.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w**2 + w**2 + 7*w**2 + 6*w - 9*w**2 + 14. Suppose -17*k + 14*k + 24 = 0. What is the remainder when z(-7) is divided by k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60 and 239964756.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 186*k**2 + 101*k + 297. Let g(s) = 37*s**2 + 19*s + 59. Determine 3*b(o) - 16*g(o).\nAnswer: -34*o**2 - o - 53","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of g**5*l**2 + 173*g**5 - 6*g + 116*l**2 wrt g?\nAnswer: 20*g**3*l**2 + 3460*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 8:54 AM?\nAnswer: 6:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n - 32481 = -11313. Calculate the highest common factor of 56 and n.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 109559?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 10063, 40238, 90529, 160936, 251459, 362098, 492853?\n\"Answer: 10058*n**2 + n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 + -13. Let m = c + 1. Differentiate 2*w**4 + m*w**2 + 2 - 6*w**2 wrt w.\nAnswer: 8*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 0*m + 0*m + m**2. Let b(o) be the third derivative of 0*o - 2*o**2 + 0*o**3 + 0 + 0*o**4 - 1\/12*o**5. Calculate n(b(g)).\nAnswer: 25*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15014, 60033, 135066, 240113, 375174, 540249?\nAnswer: 735338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 AM and 11:38 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + 2*m - 18, -2*m + 12 = 2*j + j. Let v(g) = g**3 - 7*g**2 + 8*g. Give v(j).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000236978516 to 7 decimal places.\nAnswer: 0.0000237","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3\/3 + 66*d**2 + 67881*d.\nAnswer: -d*(d - 561)*(d + 363)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -32*v**3 + 329*v**4 - 17 - 329*v**4 + 2*v**5 + 9*v - 6*v**2 - 9*v wrt v?\nAnswer: 120*v**2 - 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 6 = -1. Suppose 0 = a - 15 - t. Let c be (4 - a)\/4 + 203. What is the highest common factor of 25 and c?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of s**5\/60 + 7*s**4\/24 - 13*s**3\/6 - 6*s**2. Let v be j(-9). Is ((-435)\/2)\/v*-2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -32415 - 300534?\nAnswer: -333353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 12 - 150\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11450?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 r when two letters picked without replacement from {j: 1, r: 1, n: 4, y: 1, s: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -0.9 (c) -13306\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add -3 and -360.\nAnswer: -363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-2\/7)\/j*j)\/j)**(-2\/29)*j**(1\/5)\/j*j\/((j\/(j\/((j**2\/j*j)\/j*j)))\/j))\/((j**(2\/7))**29\/(j*j**6*j\/(j\/(j**(3\/5)\/j*j*j*j)))) assuming j is positive.\nAnswer: j**(612\/1015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 7:48 PM?\nAnswer: 1:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 856833 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 681 is divided by 194?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d**3 - 200*d**2 - 1033*d - 16. Calculate o(-5).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -21538*h + 21539*h - 4*x, 0 = -6*x + 18 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -4*i - 5. Suppose 4*b - 2*d + 2 = 0, -b - 4*d = b + 16. Let j(h) = -17*h - 20. What is b*j(z) + 9*p(z)?\nAnswer: -2*z - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 12397205.9 to the nearest one hundred thousand.\nAnswer: 12400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 591 = 5*k + 3*r, 252 = 2*k + 3*r - 7*r. Is 12 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 24 = 4*w, 2*o - 3 + 25 = 4*w. Suppose -z + 2*i = -3*i + 6, 2*z + w*i = 18. Suppose 6*r = z*r + 4. Solve 0 = r*x + x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(150) + (sqrt(150) - sqrt(150)*2))*-2)\/(((sqrt(24)\/sqrt(4))\/sqrt(3) + 5*sqrt(18))*-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21\/(-3003)*-22 + (-1140)\/(-26) and 20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b. Let a(d) = -9*d + 6*d + 3*d + 0*d + 68*d**2. Calculate a(l(t)).\nAnswer: 68*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -21*g**2. Let m(v) = 42*v**2. Let t(i) = 2*m(i) + 5*o(i). Let w(s) = 3*s**2. Determine w(t(u)).\nAnswer: 1323*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvck when four letters picked without replacement from {v: 1, k: 4, c: 4, w: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 - (-2 + -2)) + (6 - (-5 + -36)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkhskkikxhkkshkh. What is prob of sequence ih?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.291693 + 1.293. What is r rounded to four dps?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 55*p = -58*p - 14, 0 = w + 4*p + 21 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 111837 - 336405699\/3008. Which is smaller: d or 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134*x + 49 - 2003 = 3138 for x.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*s**2*u*v + 3*s**2*v**4 - 5*s*u*v + 7*u*v**5 + 3*v wrt v.\nAnswer: 36*s**2*v**2 + 140*u*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71141 is divided by 155?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -5\/3, 1795, 1\/5, -3, -10 in decreasing order.\nAnswer: 1795, 1\/5, -0.5, -5\/3, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 31185922811 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v - 90 = -12*v. Suppose 0*b - v = -2*b. Suppose -4*h - 3*l = 3, -6 - b = 4*h - l. What is the closest to -1 in h, 0.5, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fifiniiiionooooioio. What is prob of picking 2 n?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*z = 72*z - 75 for z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 170, 618, 1498, 2954, 5130, 8170?\nAnswer: 12218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-27)\/(27\/14) - -18. Solve -z*m - 6*m = -10 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84821901.\nAnswer: 3, 28273967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 475.66476ns to hours.\nAnswer: 0.0000000001321291","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121184856?\nAnswer: 2, 3, 13, 103, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 17*i**2 - 543*i - 27. Let q be t(32). Solve 0 = -3*y - l + 10, 20 = -q*l + 10 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 366662, 733219, 1099662, 1465985, 1832182, 2198247, 2564174, 2929957?\nAnswer: 3295590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 32*1\/(-10)*10\/(-4). Solve -4*j - 16 = 4*y, j - h = 2*j + 3*y for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 y when two letters picked without replacement from yaaaanyynryytaa.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4208653 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 41*c - 1. Let i(w) = 81*w - 2. Calculate 5*h(o) - 2*i(o).\nAnswer: 43*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 13330 (base 5) in base 16?\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 633?\nAnswer: 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110010010 + 1?\nAnswer: 110010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zjjbjvjjh. Give prob of sequence zjv.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 44155522 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of 2*v**7\/21 - 4*v**6\/15 - 18*v**5\/5 - 32*v**4\/3 - 46*v**3\/3 - 12*v**2 - 135*v. Factor d(t).\nAnswer: 4*(t - 6)*(t + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -4*r**4\/7 + 447164*r**3\/7 - 16680669984*r**2\/7 + 208292869281024*r\/7 - 3507341316728832 = 0.\nAnswer: 119, 37224","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -199\/5, 5, -2\/11245, -2, 0, 0.2, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004428257 rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/78*(1288\/120 - 11)?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-66)\/(-176)*144\/1161?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2 + 46*b + 504.\nAnswer: (b + 18)*(b + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1298?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7911 - -7941. Sort -2, 1, y, -151 in descending order.\nAnswer: y, 1, -2, -151","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {a: 2, g: 3, p: 5}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32 (base 7) to base 12.\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millimeter in micrometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.20579 - -2.79421. Which is the closest to 0? (a) 0.3 (b) -2\/17 (c) r (d) 218\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and (-560)\/(-95) - (-2)\/19.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 1 = 5. Suppose 3*d + c*t - 30 = -2, 8 = -2*t. Calculate the greatest common divisor of d and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -436, -1045, -1668, -2317, -3004, -3741, -4540, -5413?\nAnswer: -6372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -386?\nAnswer: -772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23027 = -2467*n - 141443 for n.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -1\/11682?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -4, -213, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a year in months?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/13? (a) 1\/4 (b) -0.058 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/1440 and 83\/792.\nAnswer: 15840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -13*g + 4. Let b be a(-4). Suppose -4*s + m = -76, -2*s = -5*m - 0*m - b. Suppose 0 = -2*j - 0*j - 2*l + s, -l = -3*j + 47. Is j a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 779 and 1?\nAnswer: 779","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 51406?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101160 (base 9) to base 2.\nAnswer: 1110101000001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -9925, -0.1, -3\/145, -2?\nAnswer: -3\/145","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-30)\/(-4)*((-96)\/18 - 0). Let q = 51 + x. Suppose -4*l + 57 + 31 = 0. Calculate the greatest common divisor of l and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -165 (base 7) to base 12.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1163 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 6*w**2 + 3*w - 10. What is the units digit of l(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/3*(-171)\/6. What is the common denominator of x*(2 + (-11)\/8) and -37\/9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*x + 22 = -19*x - 17*r + 30*r - 12*r, -5*x + 114 = -77*r for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 603065 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 64 and 88.\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 216, 23261 in ascending order.\nAnswer: -9, 216, 23261","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, d: 5, h: 4, x: 1, k: 5}. What is prob of sequence hk?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23733 and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*q**2 + 731148*q - 6578712.\nAnswer: -4*(q - 9)*(5*q - 182742)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 15, 38233 in increasing order.\nAnswer: -2, 15, 38233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20321133030 + -2?\nAnswer: 20321133022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 1.4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -14615341, -29230685, -43846029?\n\"Answer: -14615344*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (15*p**3 + 12*p**4 - 11*p**3 - 6*p**3)*(-2 + 8 - 17) in the form o + s*p**3 + w*p**4 + u*p**2 + k*p and give s.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.04 + 9.04. Let i = l + -9.1. Let m = 11 - 8. Which is the second smallest value? (a) m (b) -2\/9 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 37062, 34318, 31574, 28830?\n\"Answer: -2744*f + 39806","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 169 + -165. Solve 0*z + f*z + 16 = -2*k, -k - 18 = 4*z for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 32*t + 350. Let a(m) = -20*m - 352. Give -3*a(v) - 2*p(v).\nAnswer: -4*v + 356","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16131 and 143619670.\nAnswer: 5377","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.5128 to 2 decimal places.\nAnswer: -14.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 559 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14040 is divided by 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2507.1233256353+0.09\nAnswer: -2507.0333256353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 8*s**2 - 475*s + 3188. Calculate n(7).\nAnswer: 255","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0*(53\/(-6) + 9). Let r be (3\/(-9))\/(89\/(-3)). Which is greater: k or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2203541704?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6503*o - 4*g + 31 = -6505*o + 9, 2*o - 5*g = -10 - 11 for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3982 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 121 - 73. Suppose -3 = -3*p + o. Calculate the remainder when 67 is divided by p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 9*t - 105 = 0. Let h(a) = -5*a + 39. Let w be h(-30). Calculate the greatest common factor of t and w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (551\/(-90364))\/((-27)\/(-216))?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*i - 14 = 27. Sort i, -5, -29.\nAnswer: -29, -5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -6*q - 4. Let i be x(-1). Let d be 4\/60 - i\/5. What is the third biggest value in d, 2, -0.3, -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h**3 - 663*h**2 + 5541*h - 16232. Calculate z(323).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2569.3684 rounded to the nearest integer?\nAnswer: 2569","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t**3 + 8*t**2 - 11*t + 3. Let v be j(-5). Suppose -4*d + v = -8. Suppose -q = -d*q - 324. Round q to the nearest 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -3. Let x = 10.4 + -8. Let f = x + -2. Sort w, f, 1\/5.\nAnswer: w, 1\/5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j + 10. Let k be t(0). What is the remainder when (1 + 1)\/(2\/47) is divided by (-82)\/(-5) - 4\/k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25255 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18\/5*n - 24\/5*n**2 - 4\/5*n**4 + 22\/5*n**3 + 0 = 0.\nAnswer: -1\/2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 + 9*t**2 + 9*t + 8. Let p be c(-8). Suppose p = 5*u - 0*u - 15. Let b(o) = -6*o - o - u + o - 2*o. Let a(k) = -2*k. Determine a(b(r)).\nAnswer: 16*r + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.9 - -0.5. Let r = -5 - v. What is r rounded to zero dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - (-14 - 8)) + 6 + 1\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 772 divide 57005504?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 450?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6524389 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/3)\/(v\/((v\/(v**(-3\/13)\/v))\/v)))**5 assuming v is positive.\nAnswer: v**(175\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (104*i + 220*i - 180*i + (1 + 1 + 0)*(0 + 0 - 2*i))*(-34 - 14 + 60) as y*i + l and give y.\nAnswer: 1680","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -170 - -172. Factor 1\/2*j**g - 1 - 1\/2*j.\nAnswer: (j - 2)*(j + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 21753, 21741, 21725, 21705?\n\"Answer: -2*p**2 - 6*p + 21761","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**3\/9 - 896*r**2\/9 - 95722*r\/9 + 1048820\/9 = 0 for r.\nAnswer: -229, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -344*y + 1630 = -18*y. Solve 3*j + c = y, 2*j = 4*c + 1 - 21 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of -t**5\/5 + t**4\/4 - t**3\/2 + 2*t**2 - t. Let o = 141 + -144. Let x(m) = 3*m**3 - 2*m**2 + 2*m - 3. Give o*x(w) - 2*n(w).\nAnswer: -w**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39983124?\nAnswer: 2, 3, 3331927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 38*o + 1351 - 12*o**2 + o**2 - 14*o - 22*o**2 - 22*o wrt o.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -120*q**2 - 65*q - 65. Let d(b) = 11*b**2 + 6*b + 6. Determine -65*d(k) - 6*t(k).\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 - 1333074*d**2 + 1333076*d**2 + 20.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -3*y**2 - 23*y - 12. Suppose 0 = 12*h + 213 - 141. Let m be c(h). Solve 0 = 14*j - m*j - 12 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqrzzazaqabrqqza. What is prob of picking 1 b and 1 r?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3 - -1.9. Let w = -11 + 13. Let k = w - n. What is the nearest to 0 in -0.2, k, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 12 = -c - 13, 2*u - 4 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j**2 - 68*j - 264 = 0 for j.\nAnswer: -11, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d - d + 0*d + (1 - 1 + 2*d)*(1 + 1 + 0) - 3*d + 0*d + 4*d - 1 + 1 - 2*d - 4076*d - 3308*d - 1060*d + 1243*d.\nAnswer: -7199*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/22 and (22\/(-48))\/(15\/(-20))?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 4*k**2 + 4. Suppose -i - 2*f - 2 = 0, -5*i - 3*f + 2 + 2 = 0. Let p(g) = g**2 + g**3 + 0*g**i - 4*g**2 - 3 + 0*g**3. What is 3*n(s) + 4*p(s)?\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 964043.2mm to micrometers.\nAnswer: 964043200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 4*t + 4 = p, 4*t = -4*p + 28 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(243) + -2 + 3 + -4.\nAnswer: -3 + 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*s + 63137060 = -41*s + 402035060. What is s rounded to the nearest 100000?\nAnswer: -24200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 365 (base 9) in base 16?\nAnswer: 12e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(480)\/sqrt(10) - sqrt(48)) + sqrt(48))**2.\nAnswer: 1728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 490183 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 2. Suppose 2*h + 70 = 5*u, m*u - 2*h + 4*h = 42. What are the prime factors of u?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 112*u - 7665. Give n(67).\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**3\/5 - 72*u**2\/5 + 1528*u + 9600 = 0.\nAnswer: -80, -6, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65, -83, -101, -119?\nAnswer: -137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, a: 2, v: 2, k: 1}. Give prob of picking 1 v and 1 a.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 3*p - 5*u + 36, -5*p - 5*u = -180. Calculate the least common multiple of 24 and p.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -257*v - 15. Let g(h) = -3*h. Calculate s(g(z)).\nAnswer: 771*z - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1164 + 3542\/3. What is the common denominator of u and 43\/15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 + -67\/3. Which is the biggest value? (a) 1 (b) -2\/7 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 7*l**2 - 1485*l + 1015. Calculate r(211).\nAnswer: -673","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -69 + (204 - (5 - -41)).\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 8 = -2*o, 3*o = -2*p + 4*o + 7. Suppose 9*m - 5*g - 5 = 4*m, 2 = 2*m + p*g. Is 4\/7 less than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -652*n + 139*n + 140*n + 137*n + 118*n + 134*n - n.\nAnswer: 15*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 - 3)*(0*n**2 + 2*n**2 - n**2)*(-6 + 4 + 1).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13\/2 in 1\/4, -20, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -4*f + 1 - 2 + 0. Let v(j) = -1847 - j - 1550 + 3396. What is -s(c) + 2*v(c)?\nAnswer: 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 61 + -61. Let s = 2183\/19 + -115. Which is smaller: a or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 162753323?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 4*j, j + 4*v + 10 = -15. Let a(z) = z + 12. Let y be a(j). Calculate the highest common divisor of y and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -309, 5.\nAnswer: -309, -5, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 22 = 4*a, -3*a - c - 1 + 5 = 0. Suppose -83 = -3*b + z, -3*z + 59 = a*b - 28. Calculate the highest common factor of b and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25.11 - 25.11. Let x = -466\/13 + 36. Suppose -3*f + 5*k + 8 = -12, -26 = -5*f + k. Put f, x, w in decreasing order.\nAnswer: f, x, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from euaceccoc. What is prob of sequence oc?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -612 divided by 374906.\nAnswer: -306\/187453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25.453 - -90971.64625.\nAnswer: 90946.19325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -9\/58, 2\/7, -65, 60?\nAnswer: -9\/58","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 + -2. Let v = l + -4. Suppose 2*k + v = c, 0 = 2*c + 5*k + 7 - 49. What is the lowest common multiple of c and 6?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 59218?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(33) - (sqrt(33)*-3 + sqrt(33)))\/sqrt(11) + 5 + sqrt(3)*3 - (sqrt(144)\/sqrt(48) - -1*sqrt(48)*-1)))**2.\nAnswer: 1440*sqrt(3) + 4288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 10:28 PM?\nAnswer: 7:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i - 36. What is the least common multiple of 40\/(-12)*8\/(120\/(-27)) and r(51)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*g**3 + g - g**3 + 4*g**3 + 2*g**2 - 3*g to u*g**2 + m*g**3 + p + t*g and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in twenty-seven fifths of a kilometer?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of t**3 + 2*t**2 + 33*t. Let u(i) = -2*i. What is u(n(b))?\nAnswer: -12*b - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1420745683 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of -1\/24*y**4 + 1\/60*y**5 + 0 + 0*y**3 + 1\/30*y**6 + 10*y**2 + 0*y. Let k be q(1). What is the smallest value in -1\/2, 0, k?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 87 * -0.01.\nAnswer: -0.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 204390 to the power of 1\/2, to the nearest integer?\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 804.4403 to one decimal place.\nAnswer: 804.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1179 + -225. Does 18 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -140, 4 in ascending order.\nAnswer: -140, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 62104 and -1?\nAnswer: -62104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (136 - 139 - -52) + -119.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 33\/2 of a litre?\nAnswer: 16500","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (50\/(-175)*1*-1)\/(16\/(-112)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from akaa. Give prob of sequence ak.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 7*p**2 - 20 - 260*p - p**3 - 260*p + 532*p. What is j(8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, d: 18}. Give prob of sequence pddd.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*m**3 + 2*m**2 + 4*m - 4*m**4 + 2*m**3 - 14*m**2 + m**3.\nAnswer: -4*m*(m - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -2282827.6?\nAnswer: -4565655.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 13 - -6) + 2 + 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*y**3 - 3*y**2 - 4*y**2 - 39 + 39 wrt y.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -825*t - 814. Let y be f(-1). What is the second biggest value in -2, -0.2, -0.4, y?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 106 - 42?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20147531?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m**(-10))*m)\/(m*m**(-5\/2)*m*m)*(m*m*(m**(-8)\/m)\/m)\/m**(2\/3))**(3\/17) assuming m is positive.\nAnswer: m**(11\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - l**2 - 4*l + 4*l + 4*l**2 + 2*l in the form i*l**2 + a + j*l and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1258*w - 3800*w - 37082 = 36636 for w.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 PM and 6:45 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + 13\/((-13)\/(-30)). Suppose 2*h - 16 = -g, -4*h + u = -0*h + g. Suppose 116 = -h*i + 11*i. List the prime factors of i.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - h - 3*h - 10 = 0, -3*o = 4*h + 14 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 74*g**5 + 18950*g**3 + 1426*g - 3468 wrt g?\nAnswer: 1480*g**3 + 113700*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-8))\/(42\/12 - 5)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 211 + -206. Which is the nearest to 1? (a) 2 (b) w (c) -2\/17 (d) -2\/47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 4*z + 21 - 3, -4*z = -3*q + 42. Let l be (q - (0 + 2)) + (1 - 3). Let u(x) = 2 - 3*x + 4 - l. Let a(b) = -5*b**2. What is a(u(y))?\nAnswer: -45*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26 - 9) + 1 + -25.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1419823 * 1\nAnswer: 1419823","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a minute in seconds?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h**3 + 33*h**2 + 57*h + 178. Let q be d(-15). What is the closest to q in 4\/7, 0, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-1*sqrt(2057)*-2 + sqrt(2057) - (sqrt(2057)*1 + -3)) + 5)**2*5.\nAnswer: 11000*sqrt(17) + 1029000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/325 and 29\/39?\nAnswer: 975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = 3*u - 27. Let j(k) = -9 - k**2 + 2*k + 3*k + 5*k. Let c be j(u). Solve c*p - 5*p - 15 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1102 (base 3) in base 2?\nAnswer: 100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 20 + 3 - 23 - 456*l as q*l + n and give q.\nAnswer: -456","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 28\/121 and -4\/165?\nAnswer: 1815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32.05 + -252.75. Let m = -285 - g. Which is the closest to 1? (a) m (b) -4\/3 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10777\/141662 + -65\/367. What is the common denominator of -35\/8 and o?\nAnswer: 1544","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -0 + 4. Suppose -s*j - 5*h = -37, -4*h - 1 - 3 = -j. Let d(o) = 4 - 4 + 9*o - 4*o - j. Let f(v) = -9*v + 15. Calculate -11*d(y) - 6*f(y).\nAnswer: -y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 91317?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*f**5 - 336*f**4 + 3012*f**3 + 2502*f**2 - 3021*f - 2166 = 0. Calculate f.\nAnswer: -1, -2\/3, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1026 and -5.398.\nAnswer: 5538.348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 3*z**5 + 168*z**4 + 2343*z**3 - 510*z**2 - 7392*z - 4704 = 0.\nAnswer: -28, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 - (-13)\/(1482\/(-216)). Which is the second biggest value? (a) -0.9 (b) s (c) -4\/7 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3)\/9 - 1108\/(-12)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + (-20)\/8 - 4\/(-6). Which is the second biggest value? (a) 0.3 (b) 2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18, -42, -90, -174, -306, -498, -762, -1110?\nAnswer: -1554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -19*p + p**2 + 20*p**2 + 16*p - 1. Is u(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*m + 11*m**4 + 15*m + (0*m**2 + 2*m**2 - 4*m**2)*(-2*m**2 - m + m) - m**4 + 2*m**4 + 0*m**4 + 2*m**4 - 5*m**4 + m**4 - 2*m**4 + 4 - 4.\nAnswer: 12*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by -471675.\nAnswer: 2\/94335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4767 divided by 3?\nAnswer: 1589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 13*c**3 + c**2 - c - 4. Let f be d(-2). Suppose -5*z - 1220 = -250. Let b = f - z. Calculate the highest common factor of b and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*f + n - 1, -2*n = f - 11. Let g = f - -47. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-130698)\/(-4770)*(3\/(-9))\/(-1*4\/60)?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/2 - 4)\/((-14)\/6). Suppose 35 = 5*m + 10. What is the closest to -1\/4 in m, -0.1, b?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 3*h - 10 = 0. What is the second derivative of -h*a**2 + 7*a - 4*a + 2*a wrt a?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 r when two letters picked without replacement from {f: 4, z: 12, r: 2, h: 1}.\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32352786.\nAnswer: 2, 3, 1797377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is z in z**3 - 7947*z**2 + 71450*z - 63504 = 0?\nAnswer: 1, 8, 7938","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(0 + sqrt(2) - sqrt(2))**2*-3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2271011 * 5.\nAnswer: 11355055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -22*a + 3. Let j be o(1). Let z = j + 60. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - w = -h - 15, -h + 20 = 3*w. Let j = 0 - 0. Suppose j = w*u - 50 + 5. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 - 2*g + 29 - 4 + 34.\nAnswer: -2*g + 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13270156151 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4934.\nAnswer: 2, 2467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -13*p**2 + 10*p + 32. Calculate d(-3).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-488)\/84 + 6)\/(4\/12)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28 + 46. Suppose -6 = 2*d, -3*d = -3*w + 184 - 73. Calculate the remainder when w is divided by a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 - 14*i**2 - 28*i - 40. Calculate y(16).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 502047053 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 2*i + 5*p - 35, -4*p + 7 = i. Solve 5*k - 5 = i for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.6 + -5.5. Which is the nearest to v? (a) 1.9 (b) 30 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of -4\/3*j**3 - 100*j + 20*j**2 + 33. Let i(p) = 0. Calculate p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64319 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 - 8*y - 5. Let r be i(9). Suppose r*n + n = 10. Suppose -n*d - 255 = -5*o, -4*d - 9 - 93 = -2*o. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3325 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a century in years?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -62623020*q**2*x + 2*q + 26915980*x wrt q.\nAnswer: -125246040*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 80 divided by 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -70\/9 - -2\/3. What is the common denominator of -4 + 0 - (-518)\/108 and x?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17117*m**2 + 580*m - 4.\nAnswer: 34234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of 5*r**4\/4 + 2*r**3\/3 + 3*r**2 + 10*r + 171. Let y(n) = 14*n**3 + 6*n**2 + 17*n + 29. Give -17*b(d) + 6*y(d).\nAnswer: -d**3 + 2*d**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -8, 1, -404?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f**(-2\/21)\/f)\/f)\/(((f**3*f)\/f)\/f))\/(f**1)**(2\/21))\/((f\/(f*(f\/(((((f\/f**(1\/6))\/f)\/f)\/f*f)\/f))\/f))\/((f**5\/f)\/f*f*f))**30 assuming f is positive.\nAnswer: f**(4427\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5a (base 12) in base 14?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.517 times 0.01\nAnswer: -0.00517","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 13861\/7 + 34\/(-238). Let t be 4*2\/(-14) - y\/(-231). Let o(k) = 3*k - 5. Let u(i) = -4*i + 6. Let m(b) = -5*o(b) - 4*u(b). Give m(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 47*v**2 + 43*v + 171. What is the thousands digit of q(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24 + -10. Let w be (-30)\/(-385) + 4\/h. Which is smaller: w or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**3 + 240*w**2 + 4608*w - 82944.\nAnswer: -4*(w - 72)*(w - 12)*(w + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of -251*u**7\/14 - 381*u**3 - 480*u + 2. What is the second derivative of a(z) wrt z?\nAnswer: -15060*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 9*v - 7*v. Suppose -v*l = l + 203. Let i = -26 - l. Solve -4 = -i*q + 2*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 53411571?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 - 3*c - 6. Let d be b(-5). Which is bigger: -17 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 2*q + 12 = 0, q - 1540 + 1522 = 3*k for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -125\/32192?\nAnswer: -125\/32192","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 537076937 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 170000\/14 + (-108)\/28 + 4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4864 rounded to two decimal places?\nAnswer: 0.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/4719 (b) 1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/9*156\/26?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**2 - s**3 + s**2 + (8 - 66 - 15)*(-3*s**3 + 3*s**3 + 2*s**3))*(0*s - 2*s + 0*s).\nAnswer: 294*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(4\/5)\/(s\/(s*s**(1\/5))))**25 assuming s is positive.\nAnswer: s**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -2*o**3\/7 - 2472*o**2\/7 - 152482*o\/7 - 42156 = 0.\nAnswer: -1171, -63, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/2)*x\/(x\/x**(-5)))\/(x*x\/(x**4\/x)*x**(-10)) assuming x is positive.\nAnswer: x**(11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/25 - 12\/(-5). Let p = 16 - 11. Solve y*l + g + 10 = p*l, -18 = -5*l + g for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -0.015447049\nAnswer: 0.030894098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-five quarters of a micrometer?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 396311 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25 - -23. Let w be (150\/(-40))\/(f\/112). Suppose 171 + w = 3*o. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1160 = 23*q + 6*q. Let n be (-8*(-1)\/16)\/((-2)\/q). Let c(f) be the second derivative of f**4\/12 - 5*f**3\/3 + 3*f**2 + f. What is c(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2828*o**2. Let y(s) = -3*s**2. Determine y(p(n)).\nAnswer: -23992752*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does -2\/11 = -104\/67?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6278.\nAnswer: 2, 43, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1161, -3, 512 in decreasing order.\nAnswer: 512, -3, -5, -1161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1 + (-4 + (sqrt(480)*-2)\/sqrt(10) + sqrt(48) - (sqrt(192) + 0 + 5)) + 4 + 0)**2.\nAnswer: -2808 - 864*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2297914 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.1866, 0.048, -8, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**4 - 2*s**5 - 3*s**4)*(6 + 2 + 21) + 4*s**3 - 4*s**3 - 9*s**5.\nAnswer: -67*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = u - 9 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 12*v + 211. What is r(-23)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 65002976?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1761 + 78*a**2 + 1761)*(-2 - 4 + 2).\nAnswer: -312*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 399 divided by -19.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 535 - 99*w + 285*w - 96*w - 92*w as u + g*w and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, p: 5, i: 2, q: 2, e: 2, u: 4}. Give prob of sequence bqqe.\nAnswer: 1\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*t - 27125 = 75*t. What is the hundreds digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/2)\/((198\/231)\/(180\/35))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, 0.0006, -4\/3?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123 - 126 + 17*m + 20*m - 61*m + 17*m + 233.\nAnswer: -7*m - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 456*n + 100. Calculate u(1).\nAnswer: 556","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + 7 + -1*13\/1 + 7. Sort -5, 1, -1, v, 98 in increasing order.\nAnswer: -5, -1, 1, v, 98","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 72\/27*3\/2. Suppose -10 = -s*q + 6. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 5*a = z - 17, -a - 9 = -z. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29069 + -29037. Calculate the remainder when 9759 is divided by x.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -255.4 rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1*3 - ((-150917)\/507)\/((-2)\/(-240)).\nAnswer: 139, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -25*a**3 - 3*a. Suppose 5*d + 171 = 4*i, -i + 96*d = 97*d - 45. Let o(w) = -374*w**3 - 44*w. Determine i*b(h) - 3*o(h).\nAnswer: 22*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 280274*h**2 - 3*h + 2. Is v(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 175681 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 3*a + 12 = -0*a, 2*s - a = 11. Let r = 2 + s. Suppose -90*m = -979*m + 5334. Solve -r*u - 12 = z - u, -2*u = -5*z + m for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4340641 - 2?\nAnswer: -4340643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22.35 - 20.316. Let k = 0.034 - x. Which is the second biggest value? (a) -4 (b) k (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 0*d**2 + 7*d - 9*d**2 - 13*d**2 + d + 0*d - 3*d. Let g(f) be the second derivative of -143*f**4\/12 + 11*f**3\/2 - f. Calculate -5*g(y) + 33*k(y).\nAnswer: -11*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (111\/(-74))\/((-21)\/6 - -2). Which is smaller: 32\/59 or i?\nAnswer: 32\/59","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1770*b*g**2*u + b*g**2*v + b*g*u - 12*b*g*v - b*u*v + 23*g*v wrt g.\nAnswer: 3540*b*u + 2*b*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*j - 20*g - 26 = -70*g + 30*g, 0 = 4*j - 5*g + 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -0*i - 36. Let d = 39 + -40. Does 5 divide ((4 - 1) + i)\/d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -11*h - 7*h - 12*h - 14 + 5*h. Is d(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -518 divided by 7.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6040560 is divided by 358?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0*(16\/576*-4)\/(4\/(-18)). Let f(v) be the third derivative of u + 6*v**2 + 0*v - 2\/3*v**5 + 1\/10*v**6 - 3\/2*v**4 + 8\/3*v**3. Factor f(m).\nAnswer: 4*(m - 4)*(m + 1)*(3*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of 0*l**4 + 1\/30*l**5 - 5*l**2 + 0*l + 0*l**3 + 0. Let q(a) = -11*a. Calculate n(q(r)).\nAnswer: 242*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 2*l - 66404, 5*n + 410*l - 413*l - 165994 = 0. What is the ten thousands digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 5*t + 10 = 0. What is the nearest to -0.1 in t, 0.5, -6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2.5 (b) 8 (c) 0 (d) 1 (e) 24\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 17 + 7 = o, -5*o - 4*m = -25. Suppose 13*s - 1820000 = o*s. Round s to the nearest ten thousand.\nAnswer: 460000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0959763785 to 4 dps.\nAnswer: 0.096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*h + 138*h + 99*h)*(-4 - 6 + 4)*(5 - 2 + 0)*(2 - 2 + 2*h).\nAnswer: -8784*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 - 28. Let l be 2 - (-4)\/t*3. Which is greater: l or 1\/10?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, 161 in decreasing order.\nAnswer: 161, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.55 + 0.05. Let m = -11 + 15. Let p = -0.03 - 0.27. Which is the third smallest value? (a) t (b) m (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9474\/15 + 36\/(-10) + 3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of -2\/3*a**3 + 2*a + a**2 + 8. Let q be h(2). Sort q, 4, -3.\nAnswer: -3, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaadaadzzdvv. Give prob of sequence vav.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 295 is divided by 106?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -693 (base 13) in base 4?\nAnswer: -101232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/(-65) - (-824)\/(-52). Let v(b) = -b**2 - b + 52. Let t be v(0). Let p = l + t. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 779094?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*6\/(-4)*(-4 - -7). Find the first derivative of k - 18*l - 10*l + 33*l + 1 wrt l.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17300 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of (-162)\/5*(220\/(-8))\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c - 3*c + 0*c)*(2*c - c - 2*c) + 0*c**2 + c**2 + 0*c**2.\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 2*y - 1077 = -3*f, 3*y = -4*f + 1461. Calculate the highest common factor of 33 and f.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 + -6. Let v be (-4)\/3 + 118\/(-6). Let x be ((-72)\/(-21)*-1)\/(3\/v). What is the greatest common divisor of z and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/4 - (-33)\/4)*(-2142 - -2144). Calculate the highest common divisor of k and 10523.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1153 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 7:47 PM?\nAnswer: 3:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - (-17 - (-62 - -12))) + 61.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -11, -2, 5 in increasing order.\nAnswer: -11, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 12, 4, -2, 7 in descending order.\nAnswer: 12, 10, 7, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5513*c - 46586 = -231048 - 173883 for c.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4517141*k**6 - k**2 + 15370*k + 70 wrt k.\nAnswer: 542056920*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 58690*x + 293304. Calculate a(-5).\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-3*sqrt(80) + sqrt(720) + sqrt(405).\nAnswer: -51*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2*q**3 - 9*q**2 - 13*q - 16. Determine y(-5).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 107091389 and -0.08.\nAnswer: 107091388.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*o + 46*o - 411 = 255 for o.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 + 2*p + 7. Let a be l(3). Suppose 0 = -3*w + 24. Let y = w - a. Solve 2*n + y = -0*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 - -1)*(-11 - -9). Suppose 0 = u + 3*i + 54, 2*u - 4*u - 108 = -b*i. Let l = 253 - u. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7b (base 14) to base 10.\nAnswer: -109","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -21*y**3 - 6*y**2 + 2*y + 4. Let u be 5\/20 + 97\/(-4). Let b = -27 - u. Is z(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of 5*r**6\/3 - 2*r**5 + 60*r**3 - 180. What is the third derivative of m(f) wrt f?\nAnswer: 600*f**2 - 240*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 915\/11 - 6\/33. Suppose 2*w + k = 325. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + 0 + 0)*(26 - 31 + 24).\nAnswer: -38*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -20e3 - -3?\nAnswer: -20e0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*k - 4*k + 4*k to c*k + y and give c.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 605 - 605.293. Round x to 2 decimal places.\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9723013141 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 - 33*j**2 + 231*j - 1274. What is a(26)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 131 + 202 = 0. Let h = a - 75. Is h a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -22 - 0\/(2 + -6). Is m bigger than -22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*p**2 + 3*p**4 - 6*p**4 + 14 + 28*p**2 - 39 as i*p + h*p**2 + q*p**4 + m + r*p**3 and give m.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35 - 2. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -7337, -14688, -22037, -29384?\n\"Answer: x**2 - 7354*x + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 - 10*q + 16. Let n be v(-11). Let b be n*3*1096\/60. Suppose -b + 4 = -3*j. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.229 + 0.202. Let k = o + -4.973. Sort -31, k, 1\/6 in ascending order.\nAnswer: -31, k, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85238387 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 to the power of 1\/2, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -102 + 70. Let k be 16*(4 - (-2 + 7)). Let f = k - m. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 196 and 3528?\nAnswer: 3528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 21*u**2. Suppose 0 = -5*a - 5*o + 60, -6*o + 42 = 3*a - o. Let i = a - 3. What is the remainder when j(1) is divided by i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75 is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 123\/10 and 91\/110?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 0) + (45 - 43 - -7).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 2 v, and 1 u when four letters picked without replacement from ouvjvooivuvjjo?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 838273 and 293.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -204*b - 3*j - 25145 = -206*b, 3*b + 3*j - 37755 = 0. Is b a multiple of 148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4545447 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1718\/(-6570) - (3\/27 - (-24)\/(-72)) and 61\/95.\nAnswer: 20805","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 take away 14235?\nAnswer: -14233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - y = -10. Suppose 9*b = y*b + 19. Let z = 8 - b. What is the greatest common divisor of 297 and z?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38.595499 - -0.728128.\nAnswer: -37.867371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -33 and 2930519?\nAnswer: -96707127","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 286*a - 2687*a - 2002*a + 498*a.\nAnswer: -3905*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85859.83 litres to millilitres.\nAnswer: 85859830","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 AM and 7:41 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 10 = 2*o. Let t(f) = -3*f**2 - 4*f - 1. Let r(x) = -13*x**2 - 15*x - 4. Let l(z) = o*r(z) - 9*t(z). List the prime factors of l(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12673052.\nAnswer: 2, 7, 439, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -168, -167, -166, -165?\n\"Answer: z - 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 93348, 373292, 839832, 1492962, 2332676?\nAnswer: 3358968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 - (-5562)\/24)\/(0 - 2\/528). What is u rounded to the nearest one thousand?\nAnswer: -62000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14571 + 3256. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -x**3 + 143*x**2 + 5587*x wrt x?\nAnswer: -6*x + 286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.05? (a) 3\/5 (b) -3 (c) 6 (d) 1 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -49 + -41. Let v be z\/20*(-2)\/3. Find q, given that 3*q**3 + 18*q**2 - q**3 + 8 + 7*q + 2*q**v + 17*q = 0.\nAnswer: -2, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/754 and 19\/12?\nAnswer: 4524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**3 + 6*u**2 - 110 + 56 + 3*u + 54.\nAnswer: 3*u*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1))**36*q**(-5)*q**(3\/5)*(q**(2\/3)*(q**(3\/2)\/q)\/q)\/((q**3\/q*q)\/((q\/(q*q\/(q\/(q**4\/q))))\/q)) assuming q is positive.\nAnswer: q**(-1417\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -9034740 divided by -111540?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = -3*a + 6, -m + 17 = -a + 4*m for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3 (b) 17.05 (c) -2\/7 (d) -50 (e) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4*12\/(-40)*-175. Let d be (-1)\/(-10)*2 + p\/(-75). Solve d*r = -3*i, -4*r = 3*i - 4*i for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/2, 49\/30, -1\/2, 3, 14, -3\/8 in decreasing order.\nAnswer: 14, 3, 49\/30, -3\/8, -1\/2, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f**2 - 7*f**2 + 4*f**2 - f**2.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 7\/4 (b) -3 (c) 0.023 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*s**3 + 5*s**2 + 47*s**2 - 20*s**3 - 52*s**2.\nAnswer: -26*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**3\/7 - 842*f\/7 + 120 = 0. What is f?\nAnswer: -21, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 - 6*z + 5. Let d be c(4). Let f = 0 - 0. Suppose 0 = -5*q + 4*h + 10 - 2, -4*q + 4*h + 4 = f. Put -0.1, d, q in increasing order.\nAnswer: d, -0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c**3 - 10*c**2 + 7*c + 2. Let q(l) = -2*l**3 - 9*l**2 + 6*l + 2. Give -6*k(z) + 7*q(z).\nAnswer: -2*z**3 - 3*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 393804?\nAnswer: 2, 3, 10939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2*b + 50 = 0, -3*v - 2*b + 130 = 2*b. Let i = v + -36. Suppose -6*y + w + 9 = -y, 4*w = y - 17. Calculate the lowest common multiple of i and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 3) + 10 + -6 + -7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 430, -4, -3\/2, -1.\nAnswer: -4, -3\/2, -1, 430","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5848497?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-474)\/395)\/(1\/(-5))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 0. Let x = -44\/295 - 3\/59. What is the closest to -2\/5 in b, x, 0.5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -30*m - 1. Let a(n) = -5*n. Let t(k) = 39*a(k) - 6*c(k). Let o be t(-14). Suppose -o = -7*y + 3*y. Calculate the smallest common multiple of y and 7.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*u - 3 + 39. Let o = -8 + 10. Differentiate 302*x**u + 0 - 4 - o - 275*x**2 with respect to x.\nAnswer: 54*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 198, 208, 242, 312, 430, 608, 858?\n\"Answer: 2*v**3 - 4*v + 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9\/37 + -155\/333. Suppose -2 = v - 0. Let x = 48 - 48. Put -4, x, i, v in increasing order.\nAnswer: -4, v, i, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.345 - -63.545. Round l to the nearest integer.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of -k**8\/12 - 6*k**7\/35 + k**6\/6 + 3*k**5\/5 + k**4\/3 + 49*k**2. Let h(i) = 0. Calculate i.\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 2 = d, -2*n - 5*d - 4 = -45. Solve -q = -4*u + 5, 3*q + 5 = 5*u - n for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1434 - 1286. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(234)\/((sqrt(432)\/sqrt(8))\/sqrt(9)))\/(6*(sqrt(108) - -2*sqrt(108)*-5)).\nAnswer: -sqrt(13)\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m**2. Let y(n) = 270493*n**2. Determine s(y(v)).\nAnswer: 146332926098*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -16970*i - 301. Is h(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3, 1.6, 2, 2.9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2 - 1.1. Which is the nearest to j? (a) -4 (b) -1 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2*f = -20. Let b(q) = -2*q**2 - 23*q + 19. What is the remainder when b(-8) is divided by f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 4 + 6)*(-9 - 11 + 0) + 1 - 8 - 5)*(2*z - z + 2*z + (-2 + 0 + 0)*(5*z - 2*z - 4*z) + 2 + z - 2 + z - 6*z + 4*z).\nAnswer: -160*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**5 + 1416*v**4 + 11408*v**3 + 34304*v**2 + 45792*v + 22912.\nAnswer: -2*(v - 716)*(v + 2)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -75*n**3 - n**2 - 8*n + 8. What is i(1)?\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**3\/7 + 142*q**2\/7 - 440*q\/7 + 296\/7 = 0. Calculate q.\nAnswer: -74, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k**2 - 29*k**3 - 6*k**4 + 4*k**4 + 2 + 28*k**3 as r*k**2 + q*k + x + y*k**4 + z*k**3 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**3 - v**2 - 6*v + 3*v**2 + 0*v**2 + 32*v - 32*v + v**3 + (-2*v**2 + 4 - 4)*(1 - v - 1) - v**3 + 6*v**3 - 3*v**3.\nAnswer: 4*v**3 + 2*v**2 - 6*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 PM and 1:08 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 + -15. What is the nearest to -1\/3 in -4, -0.2, z?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 70243, 69540, 68837?\nAnswer: 68134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4*v = -50 - 25, 0 = v - 4. Let f = 59 + i. Solve 4*r + 3*q + 0 + 11 = f, -12 = -4*q for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 518899922 to the power of 1\/2, to the nearest integer?\nAnswer: 22779","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6 (b) 11 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -187 + 94. Let i = q - -112. Is i greater than or equal to 20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43746?\nAnswer: 2, 3, 23, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4501588 to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 58737033*x**2 + 22023370 wrt x.\nAnswer: 117474066*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37561?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 644 + -363. Suppose w = 4*t - 123. What are the prime factors of t?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 416 divided by -39702\nAnswer: -16\/1527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -759857, -759859, -759861, -759863, -759865, -759867?\nAnswer: -759869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f + 1. Let n(g) = 3*g - 7*g**2 - 3*g**2 + 3*g**2 + 2*g**2 - 3. Determine n(a) + 3*v(a).\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - 107702672?\nAnswer: -107702673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32046969.\nAnswer: 3, 2857, 3739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i\/(i\/(((i*i\/(i**(-34)\/i*i))\/i)\/i))))\/(i\/i**(4\/21)))\/(i\/(i**(-3\/8)*i*i*i*i))**39 assuming i is positive.\nAnswer: i**(11351\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1284 + 2*a**3 - 1284.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 4 + 0 + (18 - 0).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 + 27*q**2. Let r be p(27). Suppose r = 3*k + 561243 + 135057. What is k rounded to the nearest 10000?\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, -7.2, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 143105*y - 3 - 142976*y + 3 + y**3.\nAnswer: y**3 + 129*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 235106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.23 + -0.03. Let s = 0.11 - 5.11. Sort r, -4, s in decreasing order.\nAnswer: r, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5490.\nAnswer: 2, 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 113166?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*g**5\/2 - 1191*g**4\/2 + 10473*g**3\/2 + 1191*g**2\/2 - 5238*g = 0. What is g?\nAnswer: -1, 0, 1, 9, 388","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 1868?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x - 1. Let r be u(4). Factor -2*d**4 - d**5 - 3*d**2 - d**5 + 5*d**2 + 2*d**r.\nAnswer: -2*d**2*(d - 1)*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 4*p = -2*g + 84, -5*g - 66 = -2*p. Suppose 0 = -19*h + p*h - 480. Does 8 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3120.953 meters in centimeters?\nAnswer: 312095.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2178 > 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 46*z - 421 + 237 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 915050?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 14 = 24, -3*a + 5*g = -49. Is a even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 + -18. Suppose -y = g*y - 125. List the prime factors of y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 - 3*k**2 + 3*k - 7. Let n be q(3). Solve -n*t = -5*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -286, 14, 146 in descending order.\nAnswer: 146, 14, -286","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 + 18*l - 88. Calculate o(6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**3 - 918*d**2 + 8080*d + 9000 = 0 for d.\nAnswer: -1, 10, 450","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 + 5*b**2 - 5*b + 4. Let n be l(3). Suppose -3*v - 7 = -x, 2*x + 2*v = x + n. Suppose x*p - 196 = -0*p. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*j + 8, 0 = -0*w - 2*w + 4*j + 14 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -19*y**2 + 105*y + 41. Calculate w(6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/4 in 74, 5.986, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1209*i**2 + 1272*i**2 - 12*i + 12*i.\nAnswer: 63*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -26.1 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-4)*(-135)\/(-765). Let x(l) = -l**3 + 13*l**2 - 12*l + 4. Let q be x(12). Suppose 0*w = 2*u + w, q*w = u. Which is smaller: u or d?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44 - ((-102856)\/46)\/(-52).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-36*(-6 + 11))\/(6\/(-4)). Let b = 132 - p. Suppose 0 = 2*r + 10, r = 3*c + 3 - 20. Calculate the highest common factor of c and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 2, -4, -7.9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 130 + -111 - (-6 - -12 - 3).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 10) to base 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 - 4*k - 1. Let c be p(-3). Suppose 0 = 5*j + i + 2, 5*j - j + i = -c. Factor 0*h**4 + 0*h - 1\/4*h**3 + 0 + 1\/4*h**5 + j*h**2.\nAnswer: h**3*(h - 1)*(h + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -240981, -240980, -240979, -240978, -240977?\n\"Answer: u - 240982","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1253.425 rounded to the nearest ten?\nAnswer: -1250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7ab398 (base 14) in base 13?\nAnswer: b34699","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 10:00 PM?\nAnswer: 11:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 55 = q, 0 = -5*f - q - 0*q + 95. Suppose -5*d + f = 0, d + 17 = r + 3*d. What is the least common multiple of (16 + -1)\/(3\/2) and r?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22444846, -22444867, -22444900, -22444945, -22445002, -22445071?\nAnswer: -22445152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 3.72. Let y = 0.08 + w. Put -5, -0.4, y in descending order.\nAnswer: y, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0, -2\/79, 2?\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - p + 5*r + 10422 = 0, p + 3*r - 2597 = 0. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 5*o - 17 = 0, -k + 3*o + 0*o = -21. Suppose -5*r + k = -3*j, -j - 4*r + 20 = -3*j. Let n = j - -11. What is the least common multiple of n and 12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o - 5. Give p(-10).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + r = -2712. What is the common denominator of 49\/8 and r\/27*(-9)\/12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -s - 390, 5*n + 88 = s + 493. Let l = 557 + s. What are the prime factors of l?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of -m**5\/24 + 7*m**4\/8 + 7*m**3\/3 - 3. Let x(o) be the third derivative of t(o). Let h(y) = y - 4. Determine 11*h(d) + 2*x(d).\nAnswer: d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -6*a - 27. Let b be (8\/44 + (-93)\/(-33))*a. Suppose 234 + 237 = b*o. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 + 4 = 5*h. What is the first derivative of 62*q - 62*q - h + 2*q**3 + 3*q**3 wrt q?\nAnswer: 15*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2727 + 10909\/4. Put -2, -0.5, 0.5, -12\/43, m in descending order.\nAnswer: 0.5, m, -12\/43, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 4*b + 52 = -b, -25 = 5*b. Suppose j + j = 8. Suppose j*m - 6 = 62. Calculate the remainder when m is divided by c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/19 in 4, -3, -16, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 69 = 45. Let o(t) = t**3 - 6*t**2 - t + 3. Let a be o(u). Which is smaller: -10 or a?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -0*x + 3*g - 35, 0 = -2*g + 10. Suppose l = 5*a + 18 + 1, -20 = -2*l + 4*a. Solve x*w = l - 19 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -317*r**2*x - 22*r**2 - r*x wrt x?\nAnswer: -317*r**2 - r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1663?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 28*d - 57. Let u(m) = m - 1. Let k(x) = -2*x + 1. Let o(g) = 4*k(g) + 6*u(g). Let l(b) = 2*j(b) - 6*o(b). What is the first derivative of l(y) wrt y?\nAnswer: 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19248 is divided by 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g + 6. Give k(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 155\/124*((-2)\/(-5))\/(-2). Let g be (4\/(-6))\/((-4)\/9). Which is smaller: g or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 224239643 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000084805 rounded to three decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 3, -1\/5, -4, 201576?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 146419?\nAnswer: 7, 13, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 + 9*k**2 - 2*k - 26. What are the prime factors of g(-7)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 o when four letters picked without replacement from ooooooooo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*f**2 - 47271 + 47271 + f**2 - 3*f**2 + 3*f**2 + 5*f - 5*f - f**2 + (-2 + 4 - 3)*(-5*f + 2*f**2 + 5*f) as g*f + b*f**2 + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5530*p**4 + 6985*p**2 wrt p?\nAnswer: 132720*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -7*v - 12. Which is the third smallest value? (a) 3 (b) 3\/5 (c) v (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3395)\/2716)\/(90\/48)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-468)\/16 + 4\/(48\/(-9)). Suppose 4*m - 529 = 4*b - 157, 201 = -2*b + 5*m. List the prime factors of q\/(-75) + b\/(-5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -200*b**5\/11 + 2480*b**4\/11 - 11738*b**3\/11 + 26330*b**2\/11 - 27824*b\/11 + 10952\/11 = 0 for b.\nAnswer: 1, 2, 37\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 + 8*n**2 - 6*n - 4 - 2*n**2 - 3*n**2. Is f(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -7*v. Let m(n) = -n. Suppose -5*i - 15 = 0, -2*i = -4*d + i - 15. Let l(k) = d*m(k) + p(k). Let g(y) = -2*y. Calculate g(l(r)).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -a**4 - 4 + 0*a**4 + 2*a**4 wrt a?\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -144.99813 - -145. Round n to four dps.\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -674*z. Let q(c) = -1343*c. What is 5*l(g) - 3*q(g)?\nAnswer: 659*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/(-6)*2595\/10. Let v = d + -206. What are the prime factors of v?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23 is divided by 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 5)*(-3*o + 0*o - 2*o + (-2*o + 1 - 1)*(6 - 17 + 13)).\nAnswer: 18*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k**3 - 4*k. Let z = 76 + -73. Suppose y = -z*y - 8. Let x(d) = 10*d**3 + 21*d. Give y*x(o) - 11*u(o).\nAnswer: 2*o**3 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.165490216 rounded to 4 decimal places?\nAnswer: -7.1655","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -4*g + 33, 9 = -3*g + 42*y - 39*y. Calculate the remainder when (2653\/14)\/(7\/g - 3) is divided by 95.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = 3*j + 108, -3*q = 6*j - 0*q + 520 - 406 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/5, -5, 19, -3\/2, 5, -199?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*o - 19740*o**2 + o + 0*o + 5508*o**2.\nAnswer: -14232*o**2 - 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 2*p = 0. Suppose 0 = 2*d + 2*y - 78, -y + 144 = 4*d - p*d. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3475.4 rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/12)\/(35\/(-140))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -104 - -108. Let m be -4 + -1 - 1*-3. Let a(w) = -4*w - 3. Let z be a(m). Which is greater: z or r?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 3 + -16 - (5 + -13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 11:02 AM?\nAnswer: 9:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.82991*1531.\nAnswer: 1270.59221","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of j**4\/4 + 5*j**3\/6 + j**2 - 5*j. Is k(-4) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (1210\/(-4) - 5)*(-840)\/36?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + -39?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38 + -40 + -1 + -8 + 1.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-2 - (-103328)\/(-6))*(-66 - -63)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/6 and 101\/21854?\nAnswer: 65562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/8 - (-562836)\/16. What is the third derivative of 19*o**3 + 45*o**3 + l*o - 35176*o + 84*o**2 wrt o?\nAnswer: 384","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + q = -7, 3*x - 3 = -q + 2*q. Suppose -x*w + 3*w = 56. Suppose -5*s - 3*c = -43 + 6, 3*s = c + 25. What is the highest common factor of w and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 530 is divided by 128?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - -2)*(-15)\/(-3). Suppose 5*n + 25 = -v + 5*v, 3*v = h*n + 20. Is (55\/10)\/(n\/(-2)) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 12*x**2 - 6*x + 3. Suppose 4*z - 8 = k, 19 = 3*k + 5*z - 8. Let v(o) = o**3 + 13*o**2 - 5*o + 3. Let p(h) = k*d(h) - 3*v(h). Factor p(j).\nAnswer: -3*(j - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*q + 39 - 37*q + 21*q.\nAnswer: -55*q + 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -16217.339 rounded to the nearest one hundred?\nAnswer: -16200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3*3*4\/24*8. Let h be (-44)\/g - (-4)\/(-6). Solve 0*v + 6 = -h*v, -5*z - 3*v - 21 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 294159572, 588319146, 882478720?\n\"Answer: 294159574*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -326 = -34*s + 280 - 198 for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -7. What is the closest to -3 in v, -3, -0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (0 - -1 - 7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 385129 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 47 = 5*c, 5*u + 4*c = -36 + 137. Which is smaller: 8 or u?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21016593 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 + y**2 + 1. Let u(x) = 13*x + 1. Let h be u(-2). Let w = h - -26. Let s be n(w). Which is smaller: s or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -163 - -163.94. Let r = b - -0.06. What is the closest to 0.1 in -1\/7, r, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 372929*t + 1725855*t + 1313993*t.\nAnswer: 3412777*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/2433 and 181\/30.\nAnswer: 24330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = -2*v - 3. What is the remainder when v is divided by ((9 + 1)*2)\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 - 21*f + 42. What is o(19)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*j**3 + 8821355*j**2 + 3126136*j.\nAnswer: 12*j + 17642710","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 5:15 AM?\nAnswer: 11:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20400 is divided by 99?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24 - -74. Is 10 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*y + 14*y - 8*y + 1.\nAnswer: 15*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((0\/1)\/2)\/((-102)\/(-51))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -12.01*10\nAnswer: -120.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1638408?\nAnswer: 2, 3, 19, 3593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2. Let b(q) be the third derivative of q**6\/360 + q**4\/8 - 2*q**2. Let t(v) be the second derivative of b(v). Determine p(t(u)).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -54 + -4 + (0 - -1). Let u = y + 304. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 377 a factor of 2514967?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - (3 + 6)) + -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -29576 + 73471. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105509 = -2138*s - 3202*s + 198871 for s.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 13 = 37. Let m(n) = 3*n**2 - 8*n - 8. Calculate the smallest common multiple of m(4) and h.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109705 less than 109057?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -196*q - 70*q + 878 - 8858 for q.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16422 - 16414. Solve -y*w = 70*w + 234 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 4*g - 2. Let p = 35 - 38. Give t(p).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 43\/2 of a litre?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 85 (b) -5\/2 (c) -1\/5 (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 6:51 PM?\nAnswer: 12:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -26\/185 and -53\/5.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 9074, 18803, 28532, 38261?\n\"Answer: 9729*r - 655","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -303.4857 to the nearest 10.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m**3 + 81285*m**2 + 240057960*m - 120049300 = 0. What is m?\nAnswer: -2302, 1\/2, 10430","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5*2\/15*(-12)\/4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -14 - h + 14. Suppose 0*p - p + 5 = u, u + 3*p = 1. Let z(t) = u*t - 8*t - 4*t. Calculate z(l(g)).\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 - 3*d**2 + 2*d + 9. Let b be i(0). Solve 3*y - 5*h + 2 = 0, 0 = -b*y + 4*y - 4*h + 9 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -129*d - 183. Let t be b(-22). What is t rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2655*g - 5308*g + 2655*g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -1194*i**2 - 1580*i + 16 = 0.\nAnswer: -4\/3, 2\/199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -816.96 + 821. Let m = -4.14 + o. Let u(i) = i**3 - 8*i**2 + 3. Let z be u(8). What is the nearest to z in m, 0, -1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 787*d**3 - 271*d**3 + 788*d**3 - 270*d**3 + 819*d**3.\nAnswer: 1853*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 978202634?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1262, 1320, 1402, 1520, 1686, 1912, 2210?\n\"Answer: 2*n**3 + 44*n + 1216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express z**2 - 3*z**3 - z**4 + 2*z**4 + 0*z**3 + z**3 in the form l*z**3 + t + n*z**4 + a*z + y*z**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 - n. Let u(c) = 2*c**2 - 3*c. Suppose 5*v = 3*z - 36, 6*v - 7*v = z + 4. Calculate v*o(x) + 2*u(x).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -40*x**3 + 2*x - 2. Let p(m) = 80*m**3 - 5*m + 4. Give 5*c(a) + 2*p(a).\nAnswer: -40*a**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 241 divide 146287?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 3\/2 (b) 144 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 + 109. 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: Let d(l) = 32*l - 26. Let g be d(-11). Let c = -212 - g. Calculate the remainder when c is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13 + 3132133?\nAnswer: 3132120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 12956, 103645, 349796, 829139, 1619404, 2798321, 4443620?\n\"Answer: 12955*s**3 + s**2 + s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - -b6a64?\nAnswer: b6a65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 26*b**3 + 4*b**2 - 3*b - 9. Is g(3) a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -133*t**3 + 571*t + 903*t + 131*t**3 + 6*t - 7 + t**2.\nAnswer: -2*t**3 + t**2 + 1480*t - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + r = -4*r + 49, 4*d - 4*r + 32 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 15*l**2 - 16 - l**3 - 9*l**2 + 2*l**3 + l**3. What is the tens digit of z(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -2, 4, -11 in ascending order.\nAnswer: -17, -11, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 121 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 AM and 4:29 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qpma when four letters picked without replacement from {m: 1, r: 1, h: 1, q: 1, a: 2, p: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 - 4*j - 5. Let s be m(5). Let k be ((-3)\/(-3) + s)\/((-7)\/(-147)). What is the greatest common divisor of k and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 6*t**2 + 44*t + 17. Let b be s(-7). Suppose v = 35 + b. Is v a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10\/4431 + -71375\/5908. Let l be 7369\/42 + 17\/(-119). Let q = -351\/2 + l. Calculate the common denominator of a and q.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*q**5 + 98*q**3 + 3*q**2 - q?\nAnswer: -120*q**2 + 588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 209.0741cm to kilometers.\nAnswer: 0.002090741","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*(sqrt(50) + 1*sqrt(50)) - sqrt(50))*3)\/((sqrt(120) + 3*sqrt(120)*-1)\/sqrt(12)) + 5)**2.\nAnswer: -75*sqrt(5) + 1225\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 - 47*r**3 - 15 + 12*r**3 + 32.\nAnswer: -35*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2469107 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + (1 - 1319\/(-27993)). Let a = 92\/71 - 367766\/283929. Let q = a + g. What is the common denominator of q and -101\/6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -20*n - 26. What is the tens digit of j(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.04? (a) -2 (b) 3\/8 (c) -8\/9 (d) -1\/41 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 114 divided by 3.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6480) + sqrt(6480)*2 + sqrt(6480) + sqrt(6480))\/(sqrt(729)*1).\nAnswer: 20*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -167\/9840 and -11\/3430470.\nAnswer: 27443760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 2) to base 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24792 and 267684?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 96 = -2*r, 6*r - r - 264 = 4*i. Suppose 0 = -2*u - d - r, -15*u + 19*u + d = -114. Put 3, 4, u in descending order.\nAnswer: 4, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 6*(1 + sqrt(192)))**2.\nAnswer: 288*sqrt(3) + 6921","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -173*p + 247 = 36*p - 589 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 491906333 - 491906333 + 3*q**3.\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1054 and 13564453.\nAnswer: 527","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -5*i + 8. Solve 4*q = g + 8, 0*q + 18 = -5*g - i*q for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10 + -12 - (-4 - 1). Suppose 0 = 4*g + 4*a + a - 32, 0 = -x*g + 3*a - 3. Solve -g*t = t + 4 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -8. Suppose t = 6*t - j + 4, 2*t + 8 = q*j. Suppose -2*r - 2*f = -t*f - 12, -2*r - 16 = -5*f. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 24.599754 and 0.358.\nAnswer: 24.957754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6153.\nAnswer: 3, 7, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 PM and 3:07 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1791815, -3583907, -5375999, -7168091?\n\"Answer: -1792092*x + 277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -139120.\nAnswer: 3\/139120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000024729979 to seven decimal places.\nAnswer: -0.0000247","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-11) + (-215)\/275. What is the second biggest value in -0.4, j, -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**4 - 2*n**3 + 2*n**3)*(206*n + 1551 - 1551).\nAnswer: 412*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 6 = 0, -4*u + 11*w - 23 = 6*w for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t**5 + 5*t**4 + 414*t + 3. Let v(g) = -6*g**4 - 416*g - 2. Let j(l) = 2*o(l) + 3*v(l). Find the second derivative of j(f) wrt f.\nAnswer: -80*f**3 - 96*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 divided by 7423.\nAnswer: 16\/7423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*h + 2*t = -10*h - 122, 0 = -4*h + 4*t + 88. What are the prime factors of h?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -3*a - 5. Let g(d) = -2*d - 4. Let i(t) = 4*g(t) - 3*o(t). Is i(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 3*q + 4*n, 4*n - 16 - 4 = 0. Let w = 83 - 79. Let j be 15\/w + 1\/q. Which is the biggest value? (a) 3\/7 (b) j (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -919*c + 265. What are the prime factors of x(-4)?\nAnswer: 7, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46255088 is divided by 162870?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of -11*t**8\/168 + t**7\/105 + 3*t**5\/20 + 2*t**3\/3 - 5*t**2 + 16*t. Find the third derivative of r(d) wrt d.\nAnswer: -1320*d**2 + 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111788363 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 51 = 4*k + 1, -2*k - 90 = -2*n. Let m = 68 - n. What is the remainder when m is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.64 + -0.44. Which is the nearest to 2? (a) -2\/9 (b) f (c) 22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) -2 (c) -27\/2 (d) -4 (e) 897 (f) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(304))**2 + -5.\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 614.51 rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -3) + 3 - (-14 + (56 - 45)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 6*x**3 - 1. Suppose i = 5*m + 98, -5*m - 118 = 4*i - 10. Let h = -19 - m. Let u be k(h). Solve 0 = u*w - 1 + 21 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 54704549 - 115754837859\/2116. Let t = 1\/441 + 353\/233289. Let j = t + k. Is j at most -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixteenth of a millennium?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0025150082 to five dps.\nAnswer: -0.00252","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -40 (b) 4\/35 (c) -11\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -6. Suppose 0*b - 2*b = z. Find the second derivative of -29*t + 3*t**3 + 27*t + b*t**3 wrt t.\nAnswer: 18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -7946, -7949, -7952, -7955, -7958, -7961?\n\"Answer: -3*r - 7943","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28385?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 8*t + 2. Let n be z(5). Suppose -r + 4*r - n = 0. What are the prime factors of r?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*a - 6*a - 2*a + (1 + 3 - 5)*(a - 1 + 1) - 2*a - 4*a + 4*a)*(1 - 2 - 1)*(34*a - 46*a - 53*a) in the form u*a + y + d*a**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a. Let k be (-4 - -18) + (-5 - -2). Let w = -9 + k. Let b = -5 + w. What is v(b)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u = 9*u + 5. Which is the third smallest value? (a) u (b) -2\/9 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5401 and 5071?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*p + 10*p - 140*p**5 - 21*p + 9*p**5 wrt p.\nAnswer: -2620*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28455?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 + 14*t**2 - 12*t - 4. What are the prime factors of n(10)?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -118bb (base 14) to base 8\nAnswer: -123615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 641492?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 97 = -3*v, 154 = -5*v + 7*b - 6*b. What is the second biggest value in -2\/21, v, 0.2?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7736 divided by 127?\nAnswer: -7736\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 5) + (-10 - -9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11294 or -11290?\nAnswer: -11294","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 3:04 PM?\nAnswer: 11:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**4 + 0*v**4 - 2*v**4 + (4*v - v - v)*(-1 + 1 + 2*v**3) - v**4 - v**4 + 3*v**4 - v**4 + 3*v**3 - 3*v**3 - 440*v**3 + 440*v**3 - 22*v**4.\nAnswer: -19*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) 0.2 (c) 2 (d) -56\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(3) - sqrt(108)) - 2*(sqrt(6)\/sqrt(2) - sqrt(3))) + (sqrt(108)\/(sqrt(108) - sqrt(12)))\/(sqrt(192)*2).\nAnswer: -159*sqrt(3)\/32 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*1 + (-9 - -14). Let v(f) = 9*f - 29. Let x be v(g). What is the greatest common factor of x and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (495\/(-10) - 7)\/((-2)\/(-4)). Let q = z + 293. Is 30 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 11*f**4\/4 + 11369*f**3 + 541672*f**2 + 1131868*f + 187956 = 0.\nAnswer: -4086, -46, -2, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59 + 210 - 34 - 61 - 56 + 2*f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120*f + 124*f - 3*h + 74 = 0, -5*f - h - 64 = 0. Let y(x) = 49*x**2 - 3*x + 3. Let a(g) = 246*g**2 - 14*g + 14. What is f*y(w) + 3*a(w)?\nAnswer: 52*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*i**3*l**2 + 56*i**3 - 24*i*l + 70*l**3 wrt l.\nAnswer: -14*i**3 + 420*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**1\/((y**(-6)*y*y*y)\/y)*y**5\/y**(-4\/7) assuming y is positive.\nAnswer: y**(74\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14.196*0.733.\nAnswer: 10.405668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.4 + -6.6. Let b = r - -10. Let h be 8\/15*15\/6. What is the third biggest value in b, h, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 13 (b) -3 (c) 0 (d) 917\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 1:36 PM?\nAnswer: 2:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 149000199*y + 8992980 wrt y?\nAnswer: 149000199","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(125) + sqrt(125))\/sqrt(5) - sqrt(1600)*3)\/(sqrt(270)\/sqrt(6) + sqrt(5) - (sqrt(100)\/sqrt(5))\/sqrt(4)).\nAnswer: -7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13418 + o**3 - 13418 + 40*o**4 - o**2 - 2*o**3 to the form v*o**4 + p + m*o**3 + c*o + n*o**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - -4) + (-2)\/(-2). Let s be (g\/(-6) - -1)*-2. Which is the closest to 0? (a) -0.5 (b) 1 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5 or 89?\nAnswer: 89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 2*i + 3*i. Let v = 7 - i. Let a = 9 + -6. What is the greatest common divisor of a and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 547692058?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 7 = 2*c, -5*w + 2077 = 4*c + 2076 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22 - 10001012011?\nAnswer: -10001012110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1508, -6042, -13608, -24212, -37860, -54558, -74312?\n\"Answer: -z**3 - 1510*z**2 + 3*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 + 3*q + 5. Let t(y) = y**3 - 5*y**2 - 10*y + 20. Let c be t(6). Let z be h(c). Differentiate -27 + i - 10*i - z*i with respect to i.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - 2. Let p(k) = k - 8. Let f be p(7). Let a(t) = 2*t**2 - 1. Let z(b) be the third derivative of -b**4\/24 + b**3\/6 - b**2. Give f*a(x) + o*z(x).\nAnswer: -2*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 2 + 3*r)*(-2*r**4 + r**4 - r**4).\nAnswer: -6*r**5 + 4*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5 and 21676.47.\nAnswer: 21671.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 81 + -89 - (0 + 2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of -11*q**5\/60 - q**4\/3 + 7*q**2. Find the second derivative of r(c) wrt c.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30 (base 13) to base 7.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75253 divided by 53.\nAnswer: 75253\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 231 + 76. Let h = 531 + -657. Let u = i + h. Does 28 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 414502789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/13, 0.2, 0.29, -37, -2\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.03973 (b) 31 (c) -1\/3 (d) 0.44\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1480 is divided by 57.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is r in r**3 - 764*r**2 + 183280*r - 13180992 = 0?\nAnswer: 132, 316","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -13987, -27921, -41855, -55789?\n\"Answer: -13934*u - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -52 (base 9) to base 5.\nAnswer: -142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u**4 - 2684*u**3 + 414824*u**2 + 5449136*u - 12536160 = 0. What is u?\nAnswer: -14, 2, 273, 410","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 5 - 5 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14 by 5.\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001671053 to four dps.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*i**3 - 8001 + 3*i**3 + 7994 + i - 2*i**2 in the form j*i**2 + d*i + v*i**3 + y and give y.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 - 5*r**2 - 21*r + 8. Let x(q) = 34*q**2 + 67*q + 5. Let f be x(-2). Give k(f).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -331 - -467. Suppose 5*o + 5*d = o + 134, -4*d + h = 4*o. Let p(q) = q + 16. Let u be p(-4). Calculate the greatest common divisor of u and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -197 - 111 - 620*j + 308.\nAnswer: -620*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -22*n**3 + 9*n**2 + 14*n + 28. Does 21 divide c(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 6*b + 10. Suppose 0 = -f + b*f. Let a(y) = -2 + 4*y - 3*y + y**2 + f*y**2. Calculate a(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 2*q**4 - 69320*q**3 + 9882228*q**2 - 357813304*q + 348000394 = 0.\nAnswer: 1, 71, 34517","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -11 - (6 + -6) - (139 + -138)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -5*j + 167. Let x(o) = -7*o + 166. Let t(r) = 5*i(r) - 4*x(r). Is 3 a factor of t(-31)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26419?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-11 + 1)\/(0 + -2). Suppose -l*n + 2*o + 11294 = -21216, -n = -2*o - 6502. Suppose -u = s - n, s = 3*u - 0*s - 19498. Round u to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.47789125 minus 0.5?\nAnswer: -0.02210875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - q = 5*a + 161, 0 = -5*a + 4*q - 157. Let u = a - -56. Let f = u - 18. Solve 4*k - 20 = 0, 4*h = h + 4*k - f for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -121057*g**3 + 51*g - 397.\nAnswer: -726342*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 x when two letters picked without replacement from xxrxrxrxxrrx?\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h**(-3\/2)*h*h*h**(4\/13)*((h\/(h**(-7)\/h*h))\/h)**17)**(1\/28) assuming h is positive.\nAnswer: h**(3167\/728)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j**2 - 9*j - 9. Determine b(-6).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 - 52*i**3 + 22*i**3 + 18*i**3.\nAnswer: -12*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -209*b - 96. Let g(p) = 156*p + 74. Let d(v) = 10*a(v) + 13*g(v). Let i(h) = h**2. What is d(i(m))?\nAnswer: -62*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 23 + -7?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 6 = d, -6*d - 5*p = -d - 40. Calculate the greatest common factor of 70 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*b - 79 = 93 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 35 - 16. Solve -h*p - 15 = -22*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/6)\/(3\/99). Suppose 5*o - a = k + 43, 0 = -o + 3*k + 8. What is the remainder when o is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -57, 8, -3\/5, 1\/2, -1 in decreasing order.\nAnswer: 8, 1\/2, -3\/5, -1, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 134*(-14)\/144 - (12 + (-2 - 23))?\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106*q = -68*q + 76. Suppose 2*z - 405 = -z. What is the common denominator of (-2 - q - z\/110) + 3 and 81\/10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(270)*-2)\/(-1*sqrt(160)*5).\nAnswer: 3*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 - 24*s + 91. Give m(18).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 5236 = 916. Let h = x + -5195\/6. What is the common denominator of -65\/2 and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1023*k - 5068*k - 1800*k + 1231*k + 299*k as i + h*k and give h.\nAnswer: -6361","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*n + 19006 - 3556. Suppose -8*a - n - 722 = 0. Which is smaller: a or -2\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiimidiiicidi. What is prob of sequence iidi?\nAnswer: 42\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.06 - -0.34. Which is the third smallest value? (a) t (b) -1\/6 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of -p**5\/30 - 3*p**2\/2 - p. Let x(i) be the first derivative of y(i). Let n(z) = 3*z - 3*z + 2*z. What is x(n(q))?\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 819 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 99 and 231.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6662075623?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -7621*0.014298\nAnswer: -108.965058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 12414801 rounded to the nearest 10000?\nAnswer: 12410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2901147 is divided by 389.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 217744?\nAnswer: 2, 31, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00008440505 rounded to 7 dps?\nAnswer: 0.0000844","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1072\/14*408\/(-3264))\/((-4)\/28)?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 161919.5 micrometers to meters.\nAnswer: 0.1619195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -18054, -18681, -19308, -19935, -20562, -21189?\n\"Answer: -627*k - 17427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -25*q + 8. Let z be d(-4). Let c(n) = -n**2 + 39. Let b be c(0). Let s be (1 - b\/21)*-14. What is the greatest common divisor of s and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 518*(-10)\/(-3090) + (10 - (119\/21 + 6)).\nAnswer: 1\/103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as 167\/10333?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -5*i + 41. Let g be o(8). Sort -2, 4\/7, -0.5, g in increasing order.\nAnswer: -2, -0.5, 4\/7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 122*m**3 - m + 174*m**3 - 48*m**3 - m**2 - 36*m**3 to c*m**2 + d*m + z + i*m**3 and give i.\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36408 and 17136.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -3*c**3 - 38*c**2 + 93*c + 10. Determine u(-15).\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of 101*b**4\/12 + b**3 - b**2. Let p = -7518 - -7519. List the prime factors of m(p).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 + 0 - (-2574000)\/(-91800)?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-4))\/((-3)\/2).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2\/5 - 812706*a\/5 + 812703\/5.\nAnswer: 3*(a - 270901)*(a - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95 is divided by 48?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*r**2 - 21*r**2 + 25*r**2 + (-5 + 0 + 3)*(0*r**2 + r**2 + 0*r**2) to the form d*r**2 + n + i*r and give d.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -3*h**2 + 4. Let c(b) = b**3 + 5*b**2 + 5*b + 2. Let m be c(-2). Let z be a(m). What is the common denominator of (18\/16)\/(1\/z) and 70\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 5*n**2 + 13*n - 4. Let y(a) = -3*a**2 - 7*a + 2. Let v(w) = 4*x(w) + 7*y(w). Let m(h) = 5*h + 28. Let d = 92 + -97. Let j be m(d). Calculate v(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/4*(6 + 3 - 9). Solve -5*b = -o*r + 5*r, 4*r + 12 = 2*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v**2 - 4*v + 6*v - 10*v + 9*v + v**4 to x + l*v + t*v**3 + a*v**4 + w*v**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1014204 (base 6) in base 4?\nAnswer: -23323330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1244 + -1178. Calculate the greatest common divisor of 110 and j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 346 is divided by 67.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2100 + -4?\nAnswer: -2104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*a - 7*a = -12. Let k be (a\/(-6))\/((-3)\/(-12924)). Suppose 175 = -13*u + k. What is the remainder when u is divided by 50?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 40 + -40.3. Let l = -7.3 - -7. What is the closest to l in 0, -2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -323085, -1292315, -2907699, -5169237, -8076929, -11630775, -15830775?\n\"Answer: -323077*w**2 + w - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of -u**2\/2 + 5*u - 6. Let q be z(5). Suppose 2*d - 10 - 20 = q. Does 15 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-3)*4116\/(-784)*102\/(-21)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 2*s + 4*s. Let c(i) = -20*i - 123. Let r be c(s). What is the biggest value in 2\/31, -2\/5, r?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k**4 - 3530*k**3 + 759000*k**2 - 65900000*k + 2030000000 = 0.\nAnswer: 100, 406","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 26412, 52861, 79350, 105879, 132448?\n\"Answer: 20*s**2 + 26389*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 1298*g**2 + 145*g + 741. List the prime factors of b(-5).\nAnswer: 2, 3, 7, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -6*z**2 + 4*z**4 + z**4 - 14*z**2 + 15*z**3 + 0*z**4 = 0.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u + 2 - 2 + (2 - 5 + 5)*((-1 + 3 + 0)*(-10*u + 2*u + u) + (2 - 3 + 0)*(-3*u + 6 - 6) + u + 1 - 1) to i + p*u and give p.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 1)*(7 - 7 + 2)*(-2 + 0 + 0)*(-a - a + a).\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - (2 - (11 - 6))) + 49 + -37.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.051, 0, -32, -3\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.18 - 0.82. Let q = -60 + 31. Let z = 26 + q. Sort s, -2\/9, z in increasing order.\nAnswer: z, s, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a milligram in micrograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of 113*h**3\/6 - 67*h**2 - 23*h - 3. Is z(15) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 2.06. Let v = 1406\/9 - 156. Let h = 4 + -8. Which is the second biggest value? (a) v (b) z (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67087 is divided by 919?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-d**4 - 4*d + 4*d)*(2913 + 5355 - 5594) in the form v + k*d**4 + t*d**3 + o*d + g*d**2 and give k.\nAnswer: -2674","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1890\/(-171) - -11 - 341\/19\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - z)*(294*z**4 + 580*z**4 + 68*z**4 - 100*z**4).\nAnswer: -842*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 204003040031 + 4?\nAnswer: 204003040035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((g*g**(-2\/7))\/g)\/g*g)\/g)\/(g**5\/g)*g\/(g*g**(-2\/15))*g*g\/(g**(4\/5)*g))\/((g*g**(-6)*g*g*g)\/(g**(1\/4)\/g*g)*g**(-1\/5)*g**(-3)\/g) assuming g is positive.\nAnswer: g**(629\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11012 and 3080.\nAnswer: 8479240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8.016 + -117.994. Let p = k - -127. What is p rounded to one dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1324 + 1322. Which is the closest to j? (a) -0.4 (b) 4 (c) -42 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (10 - (4 - 0))*1. What is the highest common divisor of 24 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3653?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jo when two letters picked without replacement from enlenjnjoee?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.2 + 5. Let m = -319 - -315. Which is the closest to 1? (a) o (b) m (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 20*u**2 + 718*u - 66. Let x be n(-36). Which is the nearest to 1? (a) -0.5 (b) 2\/7 (c) -2.7 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = 25*x - 162 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 - 3*c**2 + 17. Let o be j(0). Suppose 2*x - 168 = -0*x + 2*f, 5*f + 340 = 4*x. Let n = x - o. List the prime factors of n.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10613883*q**3 + 1793487*q**2 - 3 wrt q?\nAnswer: -63683298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 9*f - 1540 = -1532, 20*q + 94 = 3*f for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23, 15, -17, -79, -177?\nAnswer: -317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -23*d + 4*d**2 - 5*d + 10*d - 3*d**2 + 2. Let h be t(18). Find k such that 5\/2*k**4 + 9\/2*k**h + 6*k**3 + k + 0 = 0.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*y, -3*p + 5*y = -14 - 6. What is the remainder when 43 is divided by p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13030018.\nAnswer: 2, 6515009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 8*j + 38. Let x = -116 + 116. Calculate the least common multiple of c(x) and 9.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19247 and 53689?\nAnswer: 1013","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1538272 and 424.\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(1\/2)\/(o\/(o\/(o\/(o\/((o**(1\/4)*o)\/o*o*o)))))*o*o**8*o*o**0 assuming o is positive.\nAnswer: o**(33\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, e: 2, m: 2, z: 2, w: 3, h: 2}. Give prob of picking 1 m, 2 h, and 1 w.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of -s**4\/4 + 5*s**3\/3 - s**2\/2 + 30. Calculate i(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76201623 at most 76201605?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 273799 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -431, -1660, -2889?\nAnswer: -4118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 117, 72, -47, -276, -651, -1208?\n\"Answer: -6*p**3 - p**2 + 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8029 and 3301066?\nAnswer: 1147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2877 = 110*s + 3207 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -49, -181.\nAnswer: -181, -49, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -s + 3, 0 = 3*s + 4*r + 6 - 16. Suppose s*i - 4*i = 8. Does 3 divide 1\/i - (-33)\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 56016?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3038, 11740, 26240, 46538, 72634, 104528, 142220?\nAnswer: 185710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 988 and 1216.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gfjj when four letters picked without replacement from jjjfjfggffg?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -545*a - 55. Let c(v) = -39*v - 4. Let l(r) = -55*c(r) + 4*q(r). Let w(t) = -3*t. Give w(l(u)).\nAnswer: 105*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10081?\nAnswer: 17, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of -r**7\/126 - r**6\/15 - 13*r**5\/60 - r**4\/3 - 2*r**3\/9 - 30*r + 12. Find y, given that a(y) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-1)*k)**(-47)*k**(1\/2)\/k*k\/(k\/((k*k**(-1\/6))\/k))*((k**0\/k*k)\/k**(-5))**(2\/59) assuming k is positive.\nAnswer: k**(-8407\/177)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -11, -1, 13, 31, 53, 79, 109?\n\"Answer: 2*h**2 + 4*h - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 4*w - 78, -351 = -3*i - i + 3*w. Suppose 0*u + i = 5*u. Suppose 5*g + 6 = r - 3, 2*g = 4*r - u. Solve 8 = r*y + 28 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 13482\/(-153) - (-4)\/34. Let n = j + 129. Does 29 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -146, -437, -720, -989, -1238, -1461, -1652?\nAnswer: -1805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 - 4*x. Let p be d(-5). Is p greater than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109562759?\nAnswer: 19, 509, 11329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3e06d51 + -3?\nAnswer: 3e06d4e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 138.3406 to 0 dps.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23 + -23. Suppose -2 - 13 = -5*p - 5*m, u = -2*m - 4. Let l(j) = -2*j**3 + 4*j. Let z(r) = -2*r**3 + 5*r. Give p*l(d) - 4*z(d).\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-23)\/((-23)\/(-20))*(-51)\/102\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 4*z + 34 = 13, 0 = -3*z + 12 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence th when two letters picked without replacement from {h: 6, i: 2, t: 7}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.543112631 rounded to 1 dp?\nAnswer: 4.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - ((sqrt(9)\/sqrt(3) - sqrt(3)) + 2) - sqrt(3))*5 + 1)**2 + 0.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -10*v - 2. What is the tens digit of i(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-10)\/25 - 5274\/(-360))*4. Suppose c = 44 + 2. Suppose -2*v + c = -5*o - 30, -3*o = 2*v - 76. Calculate the highest common divisor of v and t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24037544 divided by 1604\nAnswer: 14986","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -55073 by 3.\nAnswer: -55073\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 868 divide 325917508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -140 + 212. Suppose -6*h + 10 + 140 = 0. Suppose -h*i + 158 = -442. What is the highest common factor of w and i?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -26290, -52584, -78878?\n\"Answer: -26294*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 60*k + 5*k**3 - 68*k + 7*k + 2*k**2 + 3. Let j(r) = 4*r**3 + 3*r**2 + 2. Give 3*j(f) - 2*m(f).\nAnswer: 2*f**3 + 5*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (1\/1*-9)\/(10 + -13)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 5*b = s - 198, 3*s + 4*b = 133. Find the second derivative of s*x - 220*x**5 + 96*x**5 + 51*x wrt x.\nAnswer: -2480*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5513, 5506, 5511, 5534, 5581, 5658, 5771?\n\"Answer: t**3 - 14*t + 5526","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 270 divided by -90.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -11107.52 to the nearest ten.\nAnswer: -11110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 9 - 6)*(-3*o - 3*o + 3*o) + 0 + 2*o - 5 - 1 in the form r*o + d and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 866550, 866551, 866546, 866535?\n\"Answer: -3*x**2 + 10*x + 866543","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 918.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1114?\nAnswer: 2, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*j**2)*(122 - 19*j - 122).\nAnswer: -38*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*n - 34767 = -35566 for n.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -6*y**2 + 4 - y**3 - 3 + 5 - 3*y. Let a be q(-5). Let c(t) be the first derivative of -t**4\/4 - t**3 + 5*t**2\/2 + 153155. Give c(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - 2*k + 3*k)*(-3*k + 16*k + 9*k + (-3 + 2*k + 3)*(-1 + 1 + 1) + 2*k - 5*k + 2*k + 0 + 0 + 3*k).\nAnswer: 52*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 58, 155, -4, -9 in increasing order.\nAnswer: -9, -4, 1, 58, 155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -5. Suppose -2*z + 3*z = 5*r - 9, p = 2*z + r. Let u(m) = -4*m**3 - m + 1. Let h be u(1). Which is the closest to 0.1? (a) z (b) -1\/6 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -2*q - 2*s, -s = -4*q + s + 8 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/1956 and -19\/264.\nAnswer: 43032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2153227151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -837441 less than -1.417?\nAnswer: 837439.583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of 0*q**3 + 42*q**2 + 1\/5*q**6 + 0*q + 1\/4*q**5 + 0*q**4 + 0. What is the third derivative of f(p) wrt p?\nAnswer: 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 5462?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2b41 (base 14) to base 6\nAnswer: 55353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ba when two letters picked without replacement from gbgbgbgggbabagb.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (75\/(-45))\/(2\/6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1253 or 1252?\nAnswer: 1252","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 16*o - 11*o + 67, -2*c = 5*o - 11. Solve -7*z = 6*z - c for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most 7\/345?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1908*-8713\nAnswer: -16624404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 30882204?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 190 - 568\/3. Determine r so that d*r - 1\/3*r**2 + 0 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35384?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 52405432 (base 6) in base 12?\nAnswer: 616878","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.26, 1597, -2, 5, 89, 1 in decreasing order.\nAnswer: 1597, 89, 5, 1, 0.26, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 58325896?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 2 = 18. Let j = 1181\/44 - 188\/11. Let p = z - j. Which is the third smallest value? (a) 1 (b) -2\/7 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -139346 in 0, 1\/8, 1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -1 + 37*s**2 + 65*s**2 - 13*s**2. Let i be h(-1). What is the remainder when (-2 - 15\/(-12))\/((-2)\/i) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**2 - y**2 + 4*y**2)*(-2*y + 0*y + 0*y) + 5*y - 5*y + y**3 - 4*y**3 + 2*y**3 - y**3.\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 677685276?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*t + 1. Suppose t*z + z + 2250 = 0. What is z rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 + o - 2. Let h(a) = -112*a**2 - 3*a + 4. Give 2*b(i) + h(i).\nAnswer: -110*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p - 3*p + 3*p)*(-3*p**3 + p**3 + 5*p**3)*(-14 + 72 - 1).\nAnswer: -684*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 409978 and 29438.\nAnswer: 718","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 3*t = -t - 10, 0 = -3*p - 4*t - 35. Let g = 0.070033 - -664.909967. Let f = g + -665. Which is the second biggest value? (a) f (b) 1 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 957052 is divided by 409.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/184671 >= -1\/20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of a**9\/72 - a**5\/30 - 3*a**2 - 6. Let s(y) be the second derivative of h(y). What is the third derivative of s(o) wrt o?\nAnswer: 840*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 541505 + 31?\nAnswer: 541540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of -o**6\/6 - 3*o**5 - 115*o**4\/6 - 50*o**3 - 125*o**2\/2 - 12*o. Factor s(f).\nAnswer: -5*(f + 1)**2*(f + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 - 298*y + 584. Give k(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x\/x**2)\/x)**(-2\/105)\/(x**(-2))**48)**(-8))**31 assuming x is positive.\nAnswer: x**(-2500832\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -9ea (base 16) to base 3\nAnswer: -10111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - -45)*(-10)\/(-20). Suppose 2*w - o + 5 = 0. Is 6 a factor of w\/48*4*16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-737 - -731) + (-1 - -29).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-95))\/((-2248)\/(-87110)) + 1\/(-4).\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (156\/(-130))\/(6\/20)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4118, -8271, -12456, -16679, -20946, -25263, -29636, -34071?\nAnswer: -38574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -56*z - 9. Let i(h) be the third derivative of 7*h**4\/12 + h**3\/3 + 9*h**2 - 2*h - 69. What is 6*g(r) + 26*i(r)?\nAnswer: 28*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -7*p + 24. Suppose 7*u = -2 + 23. Let a be j(u). Solve h + 4 = a*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.173 and -85.46851092?\nAnswer: 85.29551092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17841459.\nAnswer: 3, 5947153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 AM and 10:38 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 858561726?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 + 9*z**2 - 9*z + 8. Let d be h(8). Solve 2*v - 4*j + 8 + 14 = 0, d = 4*j - 12 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -24092, -24069, -24046, -24023?\n\"Answer: 23*h - 24115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 9662 = -2*w - 0*w, 0 = w + 4. What are the prime factors of z?\nAnswer: 2, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*y**3 + 2*y**3 - 6*y**3.\nAnswer: -11*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.299139 meters?\nAnswer: 299.139","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2 + 3)*(89*c**2 + 13136 - 13136) to m*c**2 + j + t*c and give m.\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3}. Give prob of picking 2 o.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 12834981 - -6\nAnswer: 12834987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2889 - 125. Does 8 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2683 + 4842. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 49, -2, 15 in decreasing order.\nAnswer: 49, 15, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1279 by 10.\nAnswer: 1279\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 5\/7*l**3 + 3\/7 - 19\/7*l**2 + l + 4\/7*l**4 = 0?\nAnswer: -3, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 9. Let w(p) = 31*p. Let x be w(g). Suppose -3*m + x = -2*b, m + 6*b = b - 18. Calculate the greatest common divisor of m and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -4.9. Let r = -0.018 + 0.018. Which is the nearest to 1\/4? (a) r (b) 1\/3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p - 9*p - 29 = 0. Let a = 161 + -47. Calculate the remainder when a is divided by p.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -26*v**4 - 9*v**3 + v**2 + 38604?\nAnswer: -104*v**3 - 27*v**2 + 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 2*p - 1, 3*m + 9 = 3*p - 6. Suppose -3*j - 3*h + 29 = -283, 0 = 4*j - p*h - 392. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 801.4847l in millilitres?\nAnswer: 801484.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*s + s - s)*(31*s**3 + 29*s**3 - 194*s**3) to m + o*s**4 + f*s**3 + a*s**2 + c*s and give o.\nAnswer: -268","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4105, -8204, -12303, -16402, -20501, -24600?\n\"Answer: -4099*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -353 divided by -8?\nAnswer: 353\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2826369799 and 2.4?\nAnswer: 2826369801.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9693\/(-153) + (-86)\/(-340) + (-435)\/(-4350)?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 14) to base 7\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 8*y**3 + 1090. What is the units digit of f(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 261 and 4263.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000014997801 rounded to 7 dps?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8804.9 + 8837.8656. Let k = 0.0344 + j. What is the smallest value in 0.03, k, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22)\/(6006\/(-585))*4\/(-20).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 3*w = -3*d + 33, 2*w - 2 = 0. Let b be 0\/(-1*2) - 6. Let v(p) = -p**3 - 5*p**2 + 6*p. Let u be v(b). Solve d + u = 2*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 92926747?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from ccypvzvcuzzzzuv.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -476 and -17.95.\nAnswer: 8544.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 141666 (base 8) to base 13.\nAnswer: 19a60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -6*j + 4*j. Let r(p) = -p**3 - 6*p**2 - 5*p + 9. Let x be r(j). Suppose 0 = -4*b + x*b - 290. What are the prime factors of b?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1067386 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 1547?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 3381*k**2 + 357. Let o(n) = -19*n**2 - 2. Calculate -1071*o(z) - 6*x(z).\nAnswer: 63*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3583.01ng in kilograms?\nAnswer: 0.00000000358301","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.67 - -1.33. What is the nearest to h in -2\/9, 10, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (693 - 83*r - 693)*(85 + 8*r**2 - 85) to x + t*r + f*r**3 + s*r**2 and give f.\nAnswer: -664","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 5*x = 4*x. Solve x - 2 = -3*p - 4*v, 5*v = 4*p + 18 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 272379581.\nAnswer: 4751, 57331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 PM and 2:45 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -303798\/7 bigger than -43401?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4768*2.76\nAnswer: -13159.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/139, -1380, -163?\nAnswer: -2\/139","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 + 12*o**2 + 11*o + 2. Suppose -3*d - 22 = -d. Let c be h(d). Suppose c*b = -3*g + 23, -3*b = 4*g - 1 - 30. Which is smaller: g or 8?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 901 and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 205194276 or 205194281?\nAnswer: 205194281","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 15863490029 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22585 - -74183. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -25900000 to the nearest 100000.\nAnswer: -25900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1172?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 42835 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -3*n**2 - 10*n - 31. Let t be c(-10). Let a = t + 259. Calculate the remainder when 83 is divided by a.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40015 (base 6) to base 7.\nAnswer: 21101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dspgnen. Give prob of picking 2 n and 1 s.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*u**2 + 4*u**2 - 4*u**2 - u + (-u - u + 0*u)*(-2*u - u + 4*u).\nAnswer: -5*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x + 4*x - 4*x)*((-1 - x + 1)*(-4*x**2 + 0*x**2 + 2*x**2) + (-1 + 1 - 2)*(3*x - x**3 - 3*x) + 3*x**3 - 2*x**2 + 2*x**2 + 4 - 4 + 2*x**3).\nAnswer: 27*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, x: 1, u: 1, m: 1, w: 2, i: 1}. What is prob of sequence im?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -9798104047+0.7\nAnswer: -9798104046.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*h**5\/5 - 12*h**4\/5 - 36*h**3\/5 - 4*h**2 = 0. What is h?\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of -6*h - 1\/6*h**3 - h**2 + 0. Give u(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(441)\/sqrt(7))**2 + sqrt(49)\/sqrt(343).\nAnswer: sqrt(7)\/7 + 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 - 7*d**2 + 9*d - 12. Let j(f) = 2*f - 1. Let s be j(-4). Is w(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 10) to base 12\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 516200 and 2731800.\nAnswer: 5800","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qrz when three letters picked without replacement from zrzzzqrzzzrzr.\nAnswer: 8\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 < -12413\/16307?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*l**3 + 26*l**3 + 34*l**3.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c**2 - 3*c - 3. Give f(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 207899016?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -35*k. Let p(l) = -4*l - 121. What is h(p(g))?\nAnswer: 140*g + 4235","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -238 divided by -24.\nAnswer: 119\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 2*c + 18 = 0, -2*j = -2*c - 18 + 8. Let d = -45 - -73. What is the greatest common divisor of d and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 405882166?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 201*z**5 + 6*z**4 + 588*z**2 + z - 1?\nAnswer: 12060*z**2 + 144*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 17 (b) 4 (c) -28\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7 + 3)*(-1)\/2. Suppose 0 = 4*y + 5*t + 95, 0 = z*y + 4*t + t + 55. Let q = y - -28. What is the greatest common factor of q and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18165143?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 - 4*z**2 - 4*z + 2. Suppose -4*d + 1672 = 5*i, -2*i + 0*d - d = -670. Let l = i + -333. Give k(l).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 0 + 0 - (1 - -3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 600 and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4*-35\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 5*f + 4*r - 4, 0 = 3*f + 3*r. Are -81\/16 and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuo when three letters picked without replacement from {o: 3, u: 5}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -643a (base 11) in base 13?\nAnswer: -3b4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 6*r**2 + 10*r. Let x(m) be the first derivative of -10*m**3\/3 - 665. What is i(x(w))?\nAnswer: 600*w**4 - 100*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n + t - 1037 = 12*n, -5*n + 5185 = 2*t. What is the greatest common divisor of n and 183?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-9)\/2)\/(21\/(-28)). Solve -h - d = -3, 0 = 3*g - 2*h - 18 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -6*m**2 - 2691*m + 21905. Calculate d(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a decade in months?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57)\/sqrt(3)*-1 - (sqrt(19) - 5*sqrt(171)) - 5*-6*sqrt(38)\/sqrt(2))**2.\nAnswer: 35131","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 300 and 90?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -728 = 62*w - 4410 - 3448 for w.\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**5 + 9*d**4 - 15*d**3 - 9*d**2 + 12*d.\nAnswer: 3*d*(d - 1)**2*(d + 1)*(d + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4\/11, 0, 2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 0.4 (b) 25\/6 (c) -4 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddddwdddwddddddddd. Give prob of picking 2 d and 2 w.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 less than or equal to -166?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 47723202183 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4388, -4951, -5516, -6083, -6652?\n\"Answer: -a**2 - 560*a - 3827","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvdvevelggldee. Give prob of picking 1 l, 1 g, and 1 e.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - l - 22 = 0, -2*z - z + 16 = -2*l. Suppose 50 = z*p - 4*j - 14, 8 = -4*j. Factor -26*g + p*g - 2 + 18 - 4*g**2.\nAnswer: -4*(g - 1)*(g + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**4 - 1976*s**3 - 21492*s**2 + 1976*s + 21494 = 0. Calculate s.\nAnswer: -977, -11, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2707 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -0.1, -5\/7 in ascending order.\nAnswer: -5\/7, -0.1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*p**4 - 426*p**3 - 106*p**2 = 0 for p.\nAnswer: -53, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 80 and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of 7*n**4\/24 - 23*n**3\/6 + 5*n**2. Let s = 61 - 56. Calculate the least common multiple of i(s) and 28.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 AM and 7:27 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 3\/7 (b) 4\/5 (c) 2 (d) 2\/9 (e) -1\/2784 (f) 1\/163\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13849, -14049, -14385, -14863, -15489, -16269?\nAnswer: -17209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -531.78 - -2.78. Let o = w + 533. Which is the nearest to -2\/29? (a) -1\/5 (b) 1 (c) o (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of -q**4\/3 - 12*q**3 + 38*q**2 - 1474*q. Factor j(b).\nAnswer: -4*(b - 1)*(b + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssssjessjjsjjes. Give prob of picking 1 s and 1 e.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.905, 7, -1722.7.\nAnswer: -1722.7, 2.905, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5 + (-3)\/6*374. Let k be y\/(-5) - 2\/5. Calculate the common denominator of ((-76)\/k - -2)*51\/2 and -1\/70.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 230\/7 + -229\/7. Let i(t) be the second derivative of -1\/28*t**4 - 8*t - s*t**3 + 0 - 3\/14*t**2. Factor i(v).\nAnswer: -3*(v + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 427005545*g**2 - 549794*g + 50?\nAnswer: 854011090","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*j - 2*j + j + (2 + 0 - 1)*(-2 + 3*j + 2))*(-15*j**3 - 9*j + 9*j) as u*j + c*j**2 + r*j**4 + t*j**3 + i and give r.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -3*y**3 - y**2 + 4*y + 1. Let a be w(-4). Calculate the greatest common divisor of a and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 124 * -14.\nAnswer: -1736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**3 - 423*j**2 - 1679*j - 1257 = 0. What is j?\nAnswer: -419, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 81409549*k**5 - 101398673*k.\nAnswer: 1628190980*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (80\/(-60))\/(-1*4)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 + -4 + 49 + 3?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/9)\/(7\/2373). Let o = 385 + r. List the prime factors of o.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9408 - 9060. What is the smallest value in 2\/5, i, 0, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -c*d**3*n + c*d**2 - 7*d**3*n**2 - 3*d**3 + d**2*n**2 + 3 with respect to n.\nAnswer: -c*d**3 - 14*d**3*n + 2*d**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**2\/2 - 5740*r - 16473800 = 0.\nAnswer: -5740","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -165 (b) -3 (c) 0.04 (d) 4\/7 (e) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/9144 and 53\/433568.\nAnswer: 495568224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -a - 2*u - 19, 3*a + 4*u + 28 = 0. Put -27, -5, -2, a in descending order.\nAnswer: -2, a, -5, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.406 - 3.446. Put -1, 1\/3, w, 4, 2 in increasing order.\nAnswer: -1, w, 1\/3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 + 10*w**2 - 5*w + 176. Let r(o) = o**3 - 5*o**2 + 3*o - 88. Let b(u) = -5*r(u) - 3*s(u). What is the first derivative of b(c) wrt c?\nAnswer: -6*c**2 - 10*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/361 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -609, -1221, -2441, -4431, -7353?\nAnswer: -11369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 - 24*u**2 - 146*u - 94. Let i be m(-9). Solve -15 = -i*z, -d - 3*z = -z - 9 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and 324.\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 30 + -14. Suppose -5*o + 7 = -r + 33, 0 = 2*o - 6. Suppose -3*l + 89 = r. Is l >= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322499.3 rounded to the nearest 100?\nAnswer: 322500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6672 + 46693\/7. Is j > -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*r**5 - 8912350*r**3 - 620061796*r**2?\nAnswer: 480*r**2 - 53474100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/19 in 4, -0.0116, -0.1, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**4 + 1348780*u**3 - 227403633594*u**2 + 909598349080*u - 909592953992.\nAnswer: -2*(u - 337193)**2*(u - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 816\/(-30)*(-80)\/(-320)*(-1)\/2\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6.5 + -7. Let m = -0.4 - j. Is -0.5 < m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rctnvrp. What is prob of picking 1 p, 1 c, and 1 t?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 990.03867 not equal to -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4.9 and -50245895.\nAnswer: -50245899.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**2\/15 + 13264*m\/3 - 109958560\/3 = 0.\nAnswer: 16580","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 24*z**4 + 6*z - 118*z**6 - 2899*z**2 - 27*z**4 - 6*z - 225*z**6 wrt z?\nAnswer: -41160*z**3 - 72*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10) + sqrt(640)*1 + sqrt(10) + -5*-1*sqrt(10))\/(sqrt(6)\/(sqrt(3) - (sqrt(75) - (sqrt(75) + sqrt(75) + (-5*sqrt(75) - sqrt(75)))))) + -3.\nAnswer: -360*sqrt(5) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6064)\/24*(-2)\/(-4). Let v = 128 + o. Is 1 at most v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*a + a - 4*a)*(1 - 1 - 2*a**3) + (-3*a**3 - 7 + 7)*(-1556 + 1556 + 202*a) as r + c*a + f*a**2 + g*a**4 + m*a**3 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 1808.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0017107 rounded to five decimal places?\nAnswer: -0.00171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118*f - 690 = -95*f. Let i(g) = -g + 1. Let h(t) = 5*t**2 + 6*t - 6. What is f*i(r) - 5*h(r)?\nAnswer: -25*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -3 - (-64)\/20 - 154224\/(-80).\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -293*u**2 + 3217*u + 67. Calculate b(11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*p**2 + 61*p**2 + 0 - 123*p**2 + 0.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(4 + 5\/(-1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-5 + sqrt(847)*4)*3*4)**2 + -5.\nAnswer: -570240*sqrt(7) + 17595787","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 AM and 9:38 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 x when four letters picked without replacement from expepcppexeepeeecp.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -5*j + 2. Let i be u(-4). Suppose -i + 7 = -5*z. Suppose t + 4 = -z*t. Which is smaller: t or 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -91424\/11 >= -8312?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -86*j**2 + 2654*j + 372.\nAnswer: -2*(j - 31)*(43*j + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(171) - sqrt(1900)*2 - (sqrt(76) + 1 - (sqrt(19)*-1 + 1)))**2.\nAnswer: -120*sqrt(19) + 7609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 - 1)*(-2*m - 3*m + 4*m)*((3 - 2 - 2)*(-162 + 568 + 103) + 0 + 1 - 3).\nAnswer: -1533*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -358 - -24605\nAnswer: 24247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8122796?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-1\/4)*a**(-1\/4)*(a\/a**(-2)*a)**23)\/((a*a**(3\/2)*a)\/(a**7*a)*((a\/a**(-1\/6))\/a)\/a*a*a*a**(-2\/27)) assuming a is positive.\nAnswer: a**(2603\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43495?\nAnswer: 5, 8699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1796074?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7095 and 258.\nAnswer: 14190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 0*r = 10. Suppose -2*j + 20 = r*j. Suppose -3*f - 1 = -7. What is the remainder when j is divided by f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 18\/12*8\/6. Suppose -y*j - 79 = -235. Does 26 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 65 (c) -1 (d) -1\/3 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-3)*206\/(-2060).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1412.99 - 24013777.\nAnswer: -24015189.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + -14. Let x be ((-28)\/s)\/((-28)\/(-6)). Sort -3, -9, x in descending order.\nAnswer: x, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -7*x**6 + 2*x**5 - 15*x**2 - 2. Let a(g) = g**6 + g**5 - g**2 - 1. Let z(l) = 2*a(l) - c(l). Find the third derivative of z(q) wrt q.\nAnswer: 1080*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-23)\/(-5) - 9\/((-36)\/(-16)). Which is the closest to 0.03? (a) 2 (b) 1 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -44 - -43.976. Let k = u + 1.024. Let x = -2.99 + -0.01. Which is the closest to -1\/4? (a) k (b) x (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pwpw when four letters picked without replacement from {p: 4, w: 3}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p**3 + p**2 - p + 1. Let u be d(1). Let j = 8910 - 8914. Put u, 3, j in descending order.\nAnswer: 3, u, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/1410 and 53\/24.\nAnswer: 5640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/51 in -0.3, -3\/26, -0.5?\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 4, -875, 1 in descending order.\nAnswer: 4, 1, -11, -875","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(320) + 0 + -4 + sqrt(320) + (sqrt(320) - (-4 + 2 + sqrt(320))))*4)**2.\nAnswer: -1024*sqrt(5) + 20544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 0*f = -20. Solve 5*h - 3 = 4*z - 15, -f*h = z - 3 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3.8 (b) -0.224 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 12 = -5*s, 2*b + 5*s = 21 + 13. What is the derivative of b + 18*x + 13 + 16 + 8 wrt x?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253170052 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4685073723.\nAnswer: 3, 11, 173, 91183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, 9, 46, 109, 204, 337?\nAnswer: 514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/448 and -5 + 2 + 942\/1344*4?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x - x + 4*x)*(4*x - x - x)*(3 + 0 - 1) + 110*x**2 - 322*x**2 - 142*x**2.\nAnswer: -346*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -223406 + 493406. Round i to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29954 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 i when three letters picked without replacement from wiwwwvwayyvywwpw?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i**2 - 4*i - 2. Let t be x(3). Let d(n) = -7*n + 10. Let k(g) = 3*g - 5. Let p(v) = 2*d(v) + 5*k(v). Determine p(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 20995?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d = 40 + 5. Let o(s) = s - 5*s + s + 2*s. Calculate o(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19 (base 10) to base 6\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 120426 - 1?\nAnswer: 120425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 506*n**2 - 258*n**2 + 4*n - 249*n**2 to h*n + c + r*n**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2. Let z(a) = 3*a. Let n(h) = 2*h. Let x(t) = -5*t. Let b(d) = -7*n(d) - 2*x(d). Let y(f) = 3*b(f) + 2*z(f). Determine m(y(i)).\nAnswer: 36*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m + 15. What is g(12)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1777950?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7561 = -r + 7572 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 4*o - 25 = 0, 22*u = 23*u - o + 19. Does -15 = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 25, 3*d = 6*n - 3*n - 1005. Let p = d - -892. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -40. What are the prime factors of b?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 2352 + 267. Suppose n + 524 = 6*n - t, -4*n + 3*t = -z. Let i = n + -67. Is i a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -176, -166, -130, -56, 68, 254, 514?\nAnswer: 860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-352)\/(-792) + (-12255)\/4185 - (-10)\/4.\nAnswer: 1\/62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 10:04 PM?\nAnswer: 9:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -49, -169, -495, -1129, -2173?\n\"Answer: -17*r**3 - r**2 + 2*r - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25*c**3*p*s**2*w + 16*c**3*p*s**2 + c**3*s*w + 73*c**2*p*s*w + c**2*s*w + c*p*s - 7*s**2*w wrt s.\nAnswer: 50*c**3*p*w + 32*c**3*p - 14*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -5641335, -11282669, -16924001, -22565331?\n\"Answer: t**2 - 5641337*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-95253)\/9*(208\/(-80) - 8\/20) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 142228 and 868.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10\/9 in -0.2, 1\/7, 9334?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 6*f - 1. Let r(t) = t + 1. Let m(k) = -3*r(k) - s(k). Let x(q) be the first derivative of -5*q**2\/2 - q - 3. Determine -6*m(d) + 11*x(d).\nAnswer: -d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, -0.4, 1\/690, -30 in ascending order.\nAnswer: -30, -4, -2, -0.4, 1\/690","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9848?\nAnswer: 2, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 263637640 to the nearest integer?\nAnswer: 16237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.8 - -44.2. Let s = -45.2 + m. Let j = -0.7 + -0.3. What is the nearest to -2 in 1\/9, s, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-3 + -39)*(-2)\/(1 - -3) and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*m + 39*m - 456. Suppose -5*h + 36 = -m. Calculate the remainder when 130 is divided by h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 3. Let v = -86530 - -432652\/5. What is the biggest value in v, c, 2\/13, -0.3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 12110*b + 16943*b - 50030*b.\nAnswer: -45197*b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x + 3916 = -208*x - 26. Let u(o) = -5*o**3 - 89*o**2 + 17*o - 12. Give u(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1448\/24115 + -2\/689. Let b(k) = 5*k**2 - 6*k + 54. Let j be b(6). Let x be j\/(-162) + (6 - 5). Which is smaller: y or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 399 and 1748684.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.215, 2\/5, 32, 2, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*p = -647 + 62. Let d(z) = 2*z**2 - 72*z - 1 + 30*z + p*z. Determine d(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 5168 = 2*q + 1544, 2*q = -2*u + 3618. List the prime factors of q.\nAnswer: 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4069 and 7825?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -34 + 34. Which is the closest to n? (a) 8 (b) -3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 350, 327, 274, 179, 30, -185, -478?\nAnswer: -861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0*(3 - (2 + 0)). Suppose -2*j = -0*h + 3*h - 8, u = -j - 5*h + 4. Suppose 5*i - 2*d = -d + 174, j*i - d - 139 = 0. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5173.537ml in litres?\nAnswer: 5.173537","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/37512 and 101\/68772?\nAnswer: 412632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9516 and 312.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 3*x + 675, 0 = 5*x - 324 + 334. Calculate the least common multiple of 4 and g.\nAnswer: 2676","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7891501 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1325009570 to the power of 1\/2, to the nearest integer?\nAnswer: 36401","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -19700 to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3575, 7194, 10837, 14510, 18219, 21970, 25769?\n\"Answer: b**3 + 6*b**2 + 3594*b - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12413607?\nAnswer: 3, 53, 101, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m - 5*m**2 + 3*m**4 - 4*m**3 - m**4 + 4*m**3 - 2 to the form i*m + v*m**4 + x*m**3 + b*m**2 + f and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -10544091.23 rounded to the nearest 10000?\nAnswer: -10540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*i - 15*i - 35*i. Solve -q - 10*q - 22 = i for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33 by -11.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*q + 7*r + 29, -111*q + 5*r = -109*q + r + 2 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16114.43 decades to centuries.\nAnswer: 1611.443","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10\/9 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 4*l + 5*n - 0*n, -l + 4*n - 12 = 0. Suppose -4*i = -i + 2*g - 28, 2*i + 4*g - 24 = l. Calculate the least common multiple of i and 22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14892 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23881 and 7865?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of -x**4\/6 + 2*x**2 + 2*x. Differentiate b(g) with respect to g.\nAnswer: -4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 124\/2*4\/((-96)\/12).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of -a**6\/120 + 19*a**5\/60 - a**4\/24 + 25*a**3\/6 - 2*a**2. Let n be 4 - 0 - (1 - 16). What is the units digit of u(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 291077 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9831?\nAnswer: 3, 29, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -8*b**3 + 3. Let a(z) = -231*z**3 + 88. Give -3*a(q) + 88*d(q).\nAnswer: -11*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3\/26 (b) 0.34 (c) -17\/2 (d) -0.03 (e) 4 (f) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/22*((41 - -2) + -44)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -18472, -36949, -55436, -73939, -92464, -111017, -129604, -148231?\n\"Answer: -y**3 + y**2 - 18473*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y**(-2\/7)))**(3\/2)*y\/(y*y\/((y*y\/y**(-5\/4))\/y))*y**(-3)*y)\/(((y\/(y*y**(-1\/5)))\/y**(-4))\/((y**(-1)\/y)\/y**(-5))) assuming y is positive.\nAnswer: y**(-213\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/(-18)*(-9)\/(-30). Let f = -0.043 - -0.243. Which is the third biggest value? (a) k (b) f (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-2*2*sqrt(77))\/(2*(sqrt(7) - sqrt(63))).\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o. Let m(j) be the first derivative of 5*j**2 + 8. What is m(v(p))?\nAnswer: -20*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 60 and 48.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -311010 (base 4) to base 7.\nAnswer: -12621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -216*v**3*z**3 + 15*v**3*z + 6*z**2 wrt z.\nAnswer: -1296*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4620815 nanometers to micrometers.\nAnswer: 0.0004620815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*h**2*m + 3*h**2*v + 11*h**2 - 28025*h*m*v + 97*h wrt m?\nAnswer: -2*h**2 - 28025*h*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 - 4*s**2 - 20*s - 12. Let w(u) = -4*u**3 + 12*u**2 + 60*u + 36. Let m(t) = 8*f(t) + 3*w(t). Factor m(n).\nAnswer: -4*(n - 3)*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3984 divided by -3\nAnswer: 1328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 PM and 11:13 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4744 - (-1 - (0 + 2)). Suppose -5*o - a = -382. Let z = 12195\/14 + o. What is the common denominator of -35\/9 and z?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = h + 5*o + 6, 4*o + 6 = 2*h. Suppose -17 = 3*m + 2*m - 4*p, h*m - 12 = -5*p. Let q = 2.5 + -2. Put -5, q, m in descending order.\nAnswer: q, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (4 + 4*(sqrt(833) + sqrt(833)*2) + 2)**2.\nAnswer: 1008*sqrt(17) + 119989","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 1512*r**3 - 3*r**2 + 1. Does 10 divide a(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -314.9999566 - -315. What is u rounded to 6 decimal places?\nAnswer: 0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3 + 8)\/(-5))\/(1771\/(-14)). Which is greater: i or 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of f**2\/2 + 3*f. Let c(l) = -2*l + 3*l**2 - 4 + 3*l - l. Let y(g) = -c(g) - 4*o(g). Let v(h) = -h. What is v(y(u))?\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1974 and -2.\nAnswer: -3948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2938 - -3521. List the prime factors of y.\nAnswer: 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 390.5 rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -2487750 to the nearest 100000.\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from bbbarbbbbabrbaab.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44290754?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 1. Let c(q) = 3*q**3 - 5*q**2 + 5*q + 6. Let i(a) = a**3 - 2*a**2 + 2*a + 3. Let y(o) = s*i(o) + 2*c(o). Suppose 0 = 6*d - 11*d - 6*d. Give y(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -41*z**3 - 3*z - 3. Let w = 7 + -10. Let a = 1 + w. Is i(a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1951793223?\nAnswer: 3, 83, 7838527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.359 + 0.059. Let q = -1.2 - -12.2. Let i = 6 - q. Which is the second biggest value? (a) j (b) -3\/5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200) - (4 + 1 + sqrt(200) + sqrt(200))) + 1*sqrt(200)*-4 - (2*(sqrt(200) + -2) - (2 + sqrt(200))*-2))**2 + -1.\nAnswer: 900*sqrt(2) + 16224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -112 + 116. What is the lowest common multiple of 13 and j?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5089 divided by -24.\nAnswer: -5089\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 - 7. Suppose 0 = z + x*z + 9. Let p(h) = 7*h**3 + 6*h - 5. Let c(o) = o**3 + o - 1. Let y(q) = 5*c(q) - p(q). Calculate y(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -200 - -1?\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that c**4\/7 - 317*c**3\/7 + 135*c**2 - 943*c\/7 + 314\/7 = 0.\nAnswer: 1, 314","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-3)\/(m*m**5)*m**(-1\/5)\/(m*((((m**(-1\/3)\/m)\/m)\/m*m)\/m)\/m*m)*((m**(2\/7))**46)**(3\/37) assuming m is positive.\nAnswer: m**(-22537\/3885)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*r + 21 + 3*r - 25 + (-3 + 3 + 2*r)*(-2 - 4 + 1) to the form g + k*r and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 9. Suppose -z*m + b + 25 = 0, 4*m - 6*m - 5*b = -43. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 43*a - 133 = -0*h - 13, 2*a = -87641*h + 87633*h - 66 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -182707 and -5?\nAnswer: 182702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 34\/51 - (-472)\/(-6). What is the remainder when (-1 - -11)*a\/(-4) is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 2*y + 222, -5*y = -4*y + 3*x + 111. Let m = 56 + y. Let j = m - -60. Solve q + 2*c - 3*c = 3, -3*c - 7 = -j*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of -v**3\/6 + 5*v**2\/2 + 2*v. Let s be h(6). Let k = 4 + s. Calculate the least common multiple of k and 11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 + 5*b**2 + 11*b - 25. Let f be i(6). Suppose 3*z + 11 = -l - 0, 5*z - l = -29. Let d be (-6 - z) + 2*1. Solve d = -f*a - 4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 41\/(82\/15) - (1 + 6). Let l = -0.29 + 0.19. Which is the nearest to l? (a) 0.11 (b) -3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2751185 - 0.275. What is v rounded to 5 decimal places?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -52 + 49. Let y = -2 + 2.1. Let w = y - 0.2. Which is the closest to -1? (a) g (b) w (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.297772 rounded to two decimal places?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/23 in 19, -0.02, 3, 2?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 16 = 0, -8*f + 5*q = -4*f - 512. Which is smaller: f or 142?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(23\/2)\/(g*g\/(g**(1\/6)*g)))\/(g\/g**(-29)*g*g*g\/((g\/g**(-6\/5))\/g)))**(9\/5) assuming g is positive.\nAnswer: g**(-951\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j**2 - 27*j. Let z(b) = -2*b**2. Calculate z(p(h)).\nAnswer: -8*h**4 + 216*h**3 - 1458*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46459?\nAnswer: 7, 6637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 944*j**3 + 39*j**2 - 26*j - 375. Let r(f) = -472*f**3 - 18*f**2 + 12*f + 188. Let k(z) = 6*l(z) + 13*r(z). What is the derivative of k(m) wrt m?\nAnswer: -1416*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(((-15)\/34)\/(-5)). Suppose y = 3*z - z. Let w = 293 + -287. Calculate the remainder when z is divided by w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b + 2417126. Let p(v) = -v. What is p(t(a))?\nAnswer: -2*a - 2417126","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45 is divided by 29?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 2*v + 892 = 0, 0*v + 2245 = 5*y - 2*v. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 7 = 3*i, 4*i = y - 2*y - 17 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 279607947 is divided by 2025?\nAnswer: 2022","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*y + 2*y - 5 = 5*l, 0 = y + 2*l + 4 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 5478 = 5517 for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 6*n - 39. Suppose 0 = h - 4*i + n, -4*h + 16 + 0 = i. What is the second derivative of -3*w**3 + 2*w**3 + w - 7*w**h + 5*w wrt w?\nAnswer: -48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i - 14 = 58. Let j be (3 - i) + -1 + -5. Solve -k = -j*l, 10*l - 2*k - 5 = 5*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (-2 + 9)) + (97 - (109 + -53))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*l**2 - 9 + 9 + (1 - 1 - l)*(-7*l + 10*l - 13*l).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*w - 4 - 7*w + 2*w**2 + 2*w**4 - 2*w in the form j*w**4 + q*w + g*w**2 + o + r*w**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 AM and 10:01 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (1119 - 2783 + 1021 + 1807)*(2*z**4 - z**4 + z**4) in the form o*z**2 + x*z**4 + m + p*z**3 + w*z and give x.\nAnswer: 2328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -5*d - 258, 0 = -2*d - 3*d + 15. Let r be 30\/(-26) + 14\/f. Which is smaller: r or -1\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -715439*c - 1687047.\nAnswer: -715439","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*r*y**2 - 28*r*y + 367*r - 3026*y**3 wrt y.\nAnswer: -4*r - 18156*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - -22130?\nAnswer: 22132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1468?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 - h. Let r be (-1411)\/(-119) + 1\/7. Let z(s) = -14*s**2 + 12*s. Let n(a) = r*b(a) + z(a). Let k(o) = -2*o**2. Determine n(k(i)).\nAnswer: -8*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45876 is divided by 7630.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 4*z**2 - z + 3. Let l(q) = 5*q**2 - q + 4. Suppose -9 - 9 = -4*x - 5*i, -4*x = i - 10. Let f(a) = x*l(a) - 3*w(a). What is f(-2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 4 (c) -20 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -f**5\/3 + 16*f**4\/3 - 13*f**3 - 4*f**2\/3 + 52*f\/3 = 0.\nAnswer: -1, 0, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.11 - 0.11. Let y = -13.2 - -11. Let a = 2 + y. Do a and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 429 = 2*t, 2*f - 1083 = -2*t - 3*t. List the prime factors of t.\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 3*u = -3*m + 13, 3*m + u = 49. Let l(w) = 2*w - 29. Let f be l(m). Does 7 divide (176\/(-12))\/((-1)\/f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 PM and 2:35 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -s**3 + 2 - 288*s**2 - 3 - 72*s**2 in the form n*s**3 + l + f*s + b*s**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 52.4 from 318.\nAnswer: 265.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of -7\/3*t**3 + 2 - 1\/24*t**4 + 0*t**2 - 7*t. Factor o(q).\nAnswer: -q*(q + 28)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9116 divided by -2\nAnswer: -4558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -865 and -852 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/309, -3.7, -6453?\nAnswer: -1\/309","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of -4\/3*x**3 + 0*x**2 + x + 7. Find the first derivative of o(v) wrt v.\nAnswer: -8*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 + (6 - 12\/3). Suppose m = -q - 12719999, o*m = -16*q + 21*q - 63600005. Round m to the nearest one million.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 21*u + 2. Let g be o(-4). Let m = g - -41. Let l be (0 - 1) + m*(-5)\/200. Are l and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 37749753*z**2 - 4*z + 2. Let j be u(-4). Let x = j - 24157573797\/40. Let i = -56718 + x. Find the common denominator of -67\/4 and i.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7)\/9 + (-4)\/18. Let s be 16 - ((5 - 2) + o). Suppose 0 = -s*p + 16*p - 150. Does 25 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 - 8. Suppose p = -2*o - 0. Let a = o - -6. Solve 0 = -5*j + 5*d - 30, -2*j + 0*j = a*d - 18 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33297 and 195459.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -16. Suppose -d = z - 1. Round z to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -l + 6943, -2*l + 5*l + 3 = 0. Suppose -8*b - 8*b = -f. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15 and 1695.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -8861*v**2 + 53166*v + 1. Calculate w(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m**3 + 6*m - m**3 - 2*m + 3 + 2*m**2. Let z be k(-3). Let r = z + 27. What is the greatest common factor of r and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -5*p**3 - 40*p**2 - 100*p - 80 = 0.\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -506*-5.221\nAnswer: 2641.826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 plus -354?\nAnswer: -354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(132) + sqrt(132))\/(-1*sqrt(11)*6))**2 - (sqrt(27)\/(sqrt(9) - sqrt(9)*2) - (0 + sqrt(3))*5)**2.\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 4*b + 3, 5 = 4*g - 5*b - 22. Suppose 117 = l + 2*h - 47, -g*h + 9 = 0. Suppose 22 - l = -4*j. What are the prime factors of j?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) -1\/3 (c) -3 (d) -6\/5 (e) 2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 235898 and 18520736.\nAnswer: 5486","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -4*f + 1317, -4*a = -3*f - f - 1032. Calculate the greatest common factor of 29 and a.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of -j**7\/420 + j**6\/720 + j**5\/120 - j**4\/144 - 4*j**2. Suppose v(c) = 0. What is c?\nAnswer: -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*v = 111905 - 1157075. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + 12*f**2 - 58*f + 20. Give x(-16).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 737284 is divided by 76.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19 and 4720911?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131 - 32 = q - 3*w, -505 = -5*q + 5*w. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 86, 328, 730, 1292, 2014, 2896, 3938?\n\"Answer: 80*w**2 + 2*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - -222?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9466\/213*63\/(-12). Let d = l + -226\/71. Let w = 269 + d. Find the common denominator of 37\/6 and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -149\/55, 0.5, 2\/9 in descending order.\nAnswer: 0.5, 2\/9, -149\/55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 15) to base 11\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*t - t**5 + 8*t**5 + 2*t**5 wrt t?\nAnswer: 180*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-3)*g*g**11)\/(g\/((g\/(g\/(g**(-1\/2)\/g)*g))\/g*g))**(-7\/3) assuming g is positive.\nAnswer: g**(103\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 14*q**3 - q**2 - 26*q - 139. Let k be w(-5). Suppose 0 = -4*h - h - 130. What is the hundreds digit of k\/(-11) - h\/(-143)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00008886 to 5 decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 0 = -6 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5.132373 litres?\nAnswer: 5132.373","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 5*d - 14 = 11, -2*y + 20 = 4*d. Suppose y = -5*l + 19 + 36. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -18*(-2)\/4*-1. Let s be c\/(-12) + (-1)\/4. Factor 1\/4 - s*d + 1\/4*d**2.\nAnswer: (d - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/4*(-1106)\/(-14). Suppose -5*r - 20 = -2*v, -z*v = -3*r - 75*v - 26. Let m(k) = -k**3 - 4*k**2 + k. Calculate m(r).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 195 is divided by 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w**6*w)\/(w**(-1)*w))\/(w**(-9)*w**(2\/25)))**(2\/17))**(-8\/13) assuming w is positive.\nAnswer: w**(-6368\/5525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -25, -59\/8 in decreasing order.\nAnswer: 3, -59\/8, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 156 and 279240195?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26, -59, -112, -185, -278?\nAnswer: -391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 238.\nAnswer: -3\/238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -743 + 4*y - 3*y - 745 - 6*y - 32*y**4 + 1487 to the form r*y**3 + u*y + x*y**4 + a*y**2 + i and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 10*j**2 + 4*j**2 - 29*j - 3*j**2 + 12*j. Let d(n) = -n**2 - n. Let c(t) = -d(t) - k(t). Find the second derivative of c(i) wrt i.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -149\/4 - -38. Factor 1\/4*w**3 + 3\/4*w + h*w**2 + 1\/4.\nAnswer: (w + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -91 + 94.7. Let o = -3.797 + a. Let u = o + 11.897. What is u rounded to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/9))**34\/((k*k**4*k)\/(k**11*k*k*k)) assuming k is positive.\nAnswer: k**(4\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 3*t**2 - 5*t + 3. Does 14 divide s(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14876569 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 3*a + 3*m = -16, -5*a = -m - 38. Let s = -2 + a. Suppose 0 = 3*q + 7 - 25. Solve 3*l - h + s = 2*l, 3*h = q for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of q**6\/40 + q**4\/12 - q**3\/6 - 6*q**2. Let z be g(1). Let f = z + 1. List the prime factors of f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -340*s**5 - 12888*s**4 + 28756*s**3 + 10328*s**2 - 28416*s + 2560 = 0. Calculate s.\nAnswer: -40, -1, 8\/85, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 10101010101001010101 (base 2) in base 6?\nAnswer: 22551541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2\/2 + 10119995*t\/2 + 10119997.\nAnswer: -(t - 10119997)*(t + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -22351 minus 1?\nAnswer: -22352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from svdvvdssvdvvdsv?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28500 by -9500.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**2\/15 - 844*i\/15 + 6398\/3 = 0.\nAnswer: -457, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 14 = 8*u, 0 = 171*u - 175*u - 2*q - 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1.644 (b) -3 (c) 0.09 (d) -1\/4 (e) 1.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 11 = -0*p + 3*p, 4*x = -3*p + 7. Suppose -x*a + 2*a = -4. Let 33 - 34 + l**2 + 0*l**a = 0. What is l?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-15)*y\/y**(-1\/5)*y**0*y**(-9) assuming y is positive.\nAnswer: y**(-114\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 (base 5) in base 8?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1 (b) 3 (c) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, -4, 11, -3\/2, 53?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ju when two letters picked without replacement from vxuuvuvuuvj?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -39071\/71153 bigger than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, b: 3}. What is prob of sequence bp?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 828 and 72?\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27594 divided by -5.\nAnswer: 27594\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/18 and -4 + ((-1302)\/(-18))\/7.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 divided by 1\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/68830047 and 37\/12514554?\nAnswer: 137660094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -0.36 (b) -2 (c) -2.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.191998287 + -4.192. What is j rounded to seven decimal places?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 587?\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59874.\nAnswer: 2, 3, 17, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28 + -2563. Let d be (-38435)\/(-7) - (198\/42 + -5). Let a = s + d. Round a to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/(-14)*1071\/(-23562)?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.5 + -3.5. Which is the nearest to t? (a) 0 (b) 1 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1102.\nAnswer: 2, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30 - 9. Let q(f) = f**2 - 21*f + 4. Let d be q(z). Let l = 109 - d. What are the prime factors of l?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1172*n**3 + 8*n**2 - 221*n?\nAnswer: -7032*n + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(360\/(-64))*(-8)\/(160\/135).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 - k + 1. Let a be v(-4). Suppose -6*c = -11*c. Solve c = 4*u - 3*p + 18, a = -6*u + u + 3*p for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 1898682016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/9 (b) -0.2 (c) -2686 (d) 1557\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 143\/(-2) + -1 + 2. Let d be (9\/(-12))\/((-1)\/(-92)). Let u = t - d. What is the closest to 0 in u, -2\/5, -2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 PM and 6:55 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7.9 - 4.9. Sort 5, 1, p, -2 in ascending order.\nAnswer: -2, 1, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v. Let j(y) = 4*y + 2. Let l(x) = 2*g(x) + j(x). Let q(c) = -c**2 + 7*c - 7. Let a be q(5). Calculate l(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2238 - -2254 - ((-9)\/(-45))\/(6\/455)\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**24)**(-38)*(o**16)**(-12\/5) assuming o is positive.\nAnswer: o**(-4752\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 13328666 to the power of 1\/5, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 35 + -23. Suppose -a - 4*b = 16, -4 = -5*a - 2*b - c. Solve -s = -q - 2, a = -2*q - 2*q - 2*s - 26 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -4*s + 25. Let v be a(5). Solve -10*q - 20 = -v*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ps when two letters picked without replacement from {p: 1, c: 3, s: 4, f: 3}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 66695.1s?\nAnswer: 1111.585","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2592.097 + -2592. What is the closest to 4 in -2\/3, z, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - 0)*(12 + 25\/(-2)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (11\/(-3))\/(3\/9). Let l be (-2)\/u - (-126)\/33. Let s(q) = 5*q - l*q - 3*q. Let v(i) = 4*i**2. Give s(v(g)).\nAnswer: -8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -35687.967941 + 35688. Let p = -15.1323 - -15.1. Let t = f + p. What is t rounded to four decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33439?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 109\/264870*81*-90\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12244134?\nAnswer: 2, 3, 7, 401, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q**3 + 314*q**2 + 1125*q + 318. Let c be b(-153). Which is greater: 15466 or c?\nAnswer: 15466","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2092231392 and 1272.\nAnswer: 1272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 132044 + 3?\nAnswer: 132102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**5 - 68*v**4 + 64*v**3.\nAnswer: 4*v**3*(v - 16)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(85)*2 + sqrt(85) - (-6*(sqrt(85) - sqrt(85)*-3) + sqrt(85)))\/(sqrt(80)*-4 - sqrt(40)\/sqrt(648)))**2.\nAnswer: 352512\/21025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 11) in base 15?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c = 31*c - 760. Let k be c\/6*6\/4. What is the greatest common factor of k and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 43 = 35. Solve 3*w + 12 = -2*c, -1 = -x*c + 5*w - 3 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2 and 102.\nAnswer: 102.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 67*t + 414. Let h be s(-6). Solve 36 = h*y - 0*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17163 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1635 + -1633. Solve q*d + 2*n = 3*d - 7, 4*d - 23 = 3*n for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of -17*s**8\/168 - 161*s**6\/120 + 4717*s**4\/12 - 3130*s**2 - 3*s. Find the second derivative of z(m) wrt m.\nAnswer: -680*m**3 - 966*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 74 + -2296\/31. Is 1 at least as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 6:02 AM?\nAnswer: 6:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -25933860740 to the nearest 1000000.\nAnswer: -25934000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 712?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70286?\nAnswer: 2, 113, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 212092?\nAnswer: 2, 17, 3119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/2*(-3)\/5*(-690)\/1863?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 943.7694 years to centuries.\nAnswer: 9.437694","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, p: 9}. Give prob of sequence pll.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -251*q - 246*q + 494*q = 5*u + 33, -q + 5 = -u for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, z: 2, w: 3, v: 6, u: 5}. Give prob of picking 2 z and 1 w.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -3*r**2 + 9*r + 13. Let f(h) = -11*h**2 + 26*h + 40. Let n(p) = -2*f(p) + 7*k(p). Determine n(-8).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -772, -773, -776, -781, -788?\n\"Answer: -u**2 + 2*u - 773","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -65 - (2316 + -2343)?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -236*i**2*m**2 - 171*i*m**2 + 4*i*m + 166160*m**2 + 3 wrt i?\nAnswer: -472*i*m**2 - 171*m**2 + 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 7. Suppose 2*g - 4*n - 24 = i, 5 = g - n - 2. Suppose -g*w = -96 + 18. Calculate the highest common divisor of 13 and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 45\/4, 1\/4, -4, -3\/14?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**3\/2 - 924*o**2 + 122016*o + 6455040.\nAnswer: 3*(o - 328)**2*(o + 40)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2129026?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of -331*o**3\/6 + 207*o**2\/2 - 53*o + 3. Differentiate h(r) wrt r.\nAnswer: -331","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 4*i - 1 - 10*i + 10*i. Let x(t) = 5*t - 1. Calculate 3*o(h) - 2*x(h).\nAnswer: 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -190, 1284 in ascending order.\nAnswer: -190, 1, 1284","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 13*c + 10*c = 0. Suppose s - x - 307 = c, -5*s - x + 1483 = -34. Calculate the greatest common factor of s and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2937, 2916, 2893, 2868, 2841, 2812, 2781?\nAnswer: 2748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25, -57, -91, -127, -165?\nAnswer: -205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -228 divided by -29?\nAnswer: 228\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/100 of a millennium in months?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -59*f. Let j(h) = -15443704*h. Determine v(j(a)).\nAnswer: 911178536*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6289 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 6:39 PM?\nAnswer: 2:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 31 = -g - 4*g, 13*g - 15 = 8*g for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 106 = -4*r + 5*k, 5*r = -k - 150. Let d = r - -33. Suppose 5*u - 2*g - 892 = 0, 0 = 4*u - d*g + 108 - 824. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 7117670?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 2 + 2*y**3 + 2*y**4 + 1 + y**4 as o + d*y + l*y**2 + u*y**4 + k*y**3 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1181 is divided by 91.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (4 + -1)) + 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 376.65086 to the nearest ten.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 - 103*g**2 + 104*g + 2415. Is t(102) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -66*i - 1256. Give y(-19).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3a6d (base 16) to base 12.\nAnswer: -87a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 6*p + 40 = 0. Let n be 4\/p - (-32)\/20. Solve 0*i - n*i - 8 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 0, -5, -50.\nAnswer: -50, -5, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1797024214?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of -o**4\/4 + 2*o**3 + 7*o**2\/2 - 2. Let y be d(7). Suppose -4*j + 4 = -y. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -265027 to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = -103*j - d, -15792*d + 15795*d + 126 = -j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g + 160 = 166 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - (-4)\/(-4)) + (-107)\/1. Let i be (-92)\/v*15 + (-4)\/(-18). Let 21*c**3 - 5*c - c**3 + i*c**3 - 8*c**3 + 20*c**2 = 0. Calculate c.\nAnswer: -1, 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m = -12*m + q + 1296, -5*q + 626 = 2*m. What is the greatest common divisor of 19 and m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*b = -20*b + 4*r + 79, r = 7*b - 60. Let y(a) = 3*a + 4 - 4*a + 4. What is y(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -253\/17 - -1029\/68. Let b be 2\/(-3) - (-2)\/6. Sort d, -2\/3, b in decreasing order.\nAnswer: d, b, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0.24 (b) -4\/7 (c) 87\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 4 - 3)*(16259*n**2 - 2148*n**2 - 4101*n**2) to s*n + z + w*n**2 and give w.\nAnswer: -20020","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 609 * 0.3\nAnswer: 182.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of -o**5\/20 - 5*o**4\/12 - 2*o**3\/3 - 3*o**2 - 13*o. Suppose g + 1 + 3 = 0. What is m(g)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1030 + -937. Calculate the remainder when 529 is divided by m.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 192 + 194 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002411 to five dps.\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyzqzgyyy. Give prob of picking 1 q, 1 g, and 1 y.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -22 divided by 11\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 + -14. What is the closest to k in -5, 1\/4, 2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24423 (base 5) to base 7\nAnswer: 5301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -534175 divided by -5\nAnswer: 106835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -85 and 76.\nAnswer: -6460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -169 + 37 + 103 + 29 - 7249*g**2 + 2*g in the form h*g + f*g**2 + w and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.51 and 3.98492.\nAnswer: 6.0172292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0843697 years in months?\nAnswer: 1.0124364","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + (-12)\/5 - -3)*10. Let g(m) = m**3 - 6*m + 16. Let w be g(y). Round w to the nearest ten.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = 3*j + 9, 5*j + 0 = -q - 28 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 25, 35, 45, 55?\n\"Answer: 10*q + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t + 4. Let i(w) = 3*w - 7. Let n(d) = 4*i(d) + 7*p(d). Let h(o) = 5*o - 14*o + 3*o - o. Give n(h(z)).\nAnswer: 14*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.06 - 1.7. Let d = h - -34.64. Let b = d + -34.000049. What is b rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -66*y. Let g(w) = 21*w**2 - 85*w**2 + 27*w**2 - 18*w**2 - 91*w**2. What is h(g(x))?\nAnswer: 9636*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of 5*i**4\/9 - 8185*i**3\/18 - 1025*i**2 - 3*i + 1171. Find r such that d(r) = 0.\nAnswer: -3\/4, 410","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 4*x**2 + 3*x - 4. Let j be z(-2). Suppose 0 = -j*w + 39 + 3. What is the remainder when w is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of d**5\/12 - 25*d**4\/24 + 2*d**3\/3 + 91*d**2. Let g be s(5). Let i = 3 - -2. Solve -7 = g*p - 4*t - t, -i*p - 2*t = -16 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10833?\nAnswer: 3, 23, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 361 from 7.01761.\nAnswer: -353.98239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 44809375 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2935761095.\nAnswer: 5, 2381, 246599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5547177 a multiple of 1107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(3) + (sqrt(147) + 5)**2 - (sqrt(30)\/(-4*sqrt(10)))**2*3.\nAnswer: 71*sqrt(3) + 2743\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 49*h**5 + 42*h**5 + 397*h**2 - 375*h**4 - 1011*h**3 + 50*h**5 + 1946*h**2 - 183*h - 135*h**5 - 780 = 0.\nAnswer: -4, -1\/2, 1, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3071612 and 44036.\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1816701.\nAnswer: 3, 23, 113, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = s - 19, -5*s - 2*z = 3*z - 70. Let y be 164\/(-14)*(-245)\/35. Suppose x - y = s. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 - 181*w + 24*w + 0 - 18.\nAnswer: -157*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 2*n - 3*n + 15596, -2*q + n = -6237. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2867 - -4911. What are the prime factors of r?\nAnswer: 2, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 89856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*b + 33*b - 43 = 5*o, 13*o = 101*o - 2*b + 428 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 111013 and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/((o**0\/o)\/o)))**(-9)\/((((o\/(o\/((o\/(o\/(o\/(o*o\/(o\/(o\/(o**28*o))*o)*o)))*o)\/o)))\/o)\/o)\/o**(-3\/7)) assuming o is positive.\nAnswer: o**(-59\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -82743661 or -82743660?\nAnswer: -82743661","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -i - 40. Let o = 14 + i. Solve 0 = -o*j - 3 - 17 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 287829 and 33?\nAnswer: 3166119","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of -2*q**6\/15 + 5*q**4\/2 - 33*q**2 - 88*q. Differentiate w(t) with respect to t.\nAnswer: -16*t**3 + 60*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 6*d**3 - 377401550*d**2 + 5934663810500362*d - 1978221228233282 = 0.\nAnswer: 1\/3, 31450129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 + l + 11. Let g be b(0). Which is smaller: g or 12?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2535 and 6240.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 137 - 133. What are the prime factors of (18\/(-8))\/(a\/(-224))?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 55, -2\/15, -1, -0.1, 12 in increasing order.\nAnswer: -1, -2\/15, -0.1, 1\/3, 12, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -30340*c**2*r**4 - 27038*c**2 + 22*c*r**4 - 56*c wrt r?\nAnswer: -121360*c**2*r**3 + 88*c*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*k**2 + 6*k**2 - 10*k**2 - 12*k**2 to d + p*k + c*k**2 and give c.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/4 - 7*d\/4 - 2.\nAnswer: (d - 8)*(d + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, t: 1, s: 1, f: 1, b: 4}. Give prob of sequence tbfb.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -21\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 times 21675?\nAnswer: 12831600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -7*5\/5 - (3 - (-2588)\/(-251)). Which is smaller: 0 or k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69 + 19 = 5*j + 4*t, 31491*j - 31495*j - 64 = 8*t for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*x = 26515 + 61305 - 27442. What are the prime factors of x?\nAnswer: 2, 3, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 35 = -2*j. Calculate the least common multiple of j and 3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.66358957 + 0.083.\nAnswer: -0.58058957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 245 and 49.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11164 divided by -1.\nAnswer: -11164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -210.2 + 210. Which is smaller: 510 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 980, 2641, 4344, 6089, 7876?\n\"Answer: 21*q**2 + 1598*q - 639","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(2\/63)*(x\/(x*x\/(x*x**(-18\/11)*x*x)*x*x*x))\/x)**(-38))**(-1\/22) assuming x is positive.\nAnswer: x**(-47462\/7623)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*k + 86*k + 30 = 0. Solve 11 = -4*g - k for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2800578 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25 - -36. Let m = r + -9. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/196*-21*(15 - (8 + -5))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -339121, -339123, -339125?\nAnswer: -339127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 24, 2, 1 in increasing order.\nAnswer: 1, 2, 5, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 3*y + 12. What is the remainder when h(14) is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 836.4385 meters to micrometers.\nAnswer: 836438500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -54\/138745 and -3\/221992.\nAnswer: 1109960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7726 = -49*a - 1895. What is the remainder when a is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seven quarters of a micrometer?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 46*v + 48. Calculate the remainder when j(9) is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(4617))\/(sqrt(6)\/(sqrt(4)\/sqrt(2))).\nAnswer: 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82995654 divided by -234451.\nAnswer: -354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f - 662438. Let v(c) = 2*c**2. Determine n(v(p)).\nAnswer: -2*p**2 - 662438","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != 12\/1445611?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 144 - -505?\nAnswer: 1053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -12*s**3 - 8*s**2 + 8*s - 8. Let y(t) = -t**3 - t**2 + t - 1. Let o = 268 - 260. Give o*y(x) - l(x).\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17874 - 10624 = 725*l for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 67115 = 5*j + 225269, 4*j + 126540 = -t. Let m = 55234 + j. What is m rounded to the nearest one thousand?\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18099\/45562 + -3\/1199. Let j = x - -2\/19. Which is the third biggest value? (a) 1\/14 (b) 0.4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 34*a**6 + 3*a**5 + 122*a**2 wrt a?\nAnswer: 4080*a**3 + 180*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence czi when three letters picked without replacement from {p: 4, i: 3, c: 6, z: 4}?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -236534 (base 10) in base 9?\nAnswer: -400415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 29 = -5*p, -5*p = 4*q + 164. Let i = q + 416\/9. Let x be 4\/6 - (-39)\/(-45). What is the third biggest value in x, i, 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 bigger than -24655?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of 0*a**3 + 0 - 1\/60*a**4 - 4*a + 0*a**2. Factor x(w).\nAnswer: -w**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 273428 and 615213?\nAnswer: 2460852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*g**4 - 2467644*g**3 + 13325625*g**2 - 14806326*g + 3948360 = 0. What is g?\nAnswer: -164515, 2\/5, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 + 141 = 27*f. Solve f*k = -4*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 117459 to the nearest integer?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 13253, 26513, 39773?\n\"Answer: 13260*b - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1642, 1664, 1686?\nAnswer: 1708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21 + -112112201020110?\nAnswer: -112112201020201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12346544 and 84?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*t + 7*t + 6*t)*(12*t + t + 3*t) - 2 + t + 88*t**2 + 3 - 83*t**2.\nAnswer: 117*t**2 + t + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -716.77449 + -329?\nAnswer: -1045.77449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15734\/9 or -1749?\nAnswer: -15734\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4805791 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 5*u + 22 = -10*u, -10 = 4*y - 3*u for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of -a**4\/12 - 4*a**3\/3 - 6*a**2 - a. Let z be g(-8). Let y be 2\/z + 161\/(-42). Round y to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 43*d = 15*d - 1856490. Is d a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -18636 + 3?\nAnswer: -18633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 11:08 AM?\nAnswer: 8:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 2*x = -x - 261, -2*x = 3*l + 195. Let y be (-18)\/l + ((-186)\/(-70))\/(-3). Let j be (-3)\/(-12) - (-5)\/(-4). Is j at least y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 215 divide 24510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*q + 21 = 20*q. Suppose 4*r - 3*p = 72, -q*r + 7*r = -3*p + 96. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31 + -6. Suppose -4*c = 12, 0 = -5*q - 3*c - 2*c - x. What is the tens digit of q - 149\/(-1) - -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 465998117 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**(-3\/4)\/k))\/k)\/k*k*k*k*k\/(k**(3\/7)*k)*k*k*(k*k**(1\/2)*k)\/k**(-5) assuming k is positive.\nAnswer: k**(359\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -80 + 200. Suppose 3*g + 3*n - 135 = -n, -3*g + n + h = 0. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - 18 - 14 - (-2 + -6).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 201607972 and 1272?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11643247?\nAnswer: 7, 11, 89, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -7 + 2*y - 4 + 23 - 1 - 12. Let x(v) = 4*v**2 - 104*v + 412. Let o(q) = -12*p(q) - x(q). Find f, given that o(f) = 0.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q + 4. Let m be p(-5). Let k = 10 + m. What is the third derivative of 9*w**4 - 16 + 16 - k*w**2 wrt w?\nAnswer: 216*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/(-7))\/((-2)\/(-14)). Let a(p) = p**3 - 6*p**2 + p - 1. Let w be a(z). Let c = 2 + w. List the prime factors of c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 122359568.\nAnswer: -1\/122359568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 6, 2\/367, 2, -829?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*i - 11*i - 12 = 0. Solve -i*j + 16 = t, -6*j + 28 = 2*t - j for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -58 + 20. Let k be -2*(-3)\/(-6)*23. Let d = k - b. Solve -2*i + 6 = -3*n, -d = -5*i + 5*n - 0*n for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/6762*-3*(-35)\/(-20)?\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + 3a223b?\nAnswer: 3a2241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29188?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 968 = -3*m, -3*b + 346 = m - 0*b. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5863.909t in milligrams?\nAnswer: 5863909000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of l**2*r**2 + 278*l**2 - 248*l*r**2 wrt r?\nAnswer: 2*l**2*r - 496*l*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 - 10\/(-4))\/2. Let y = 0.01 - -1.99. What is the biggest value in v, 0.5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1188003\/(-8) + 12\/32. Round w to the nearest ten thousand.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -58, -222, -488, -850, -1302?\n\"Answer: x**3 - 57*x**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -140*j**3 + 2444*j**2 - 1040*j - 816 = 0.\nAnswer: -2\/5, 6\/7, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 921 - 475. Calculate the remainder when f is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 75 = -5*x, 5*x = 5*p + 2*x - 197. Is p a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 597, 5806, 20247, 48534, 95281, 165102, 262611?\nAnswer: 392422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 2*g - 6. Let l(h) = -h**3 - h**2 + 3*h + 2. Let i be l(g). Suppose -4*k + 1 + 11 = i. Solve 0 = 4*s + k*r - 11, 3*r = 2*s + s - 3 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*i - 1035 + 160. Suppose -32*g - 162 = -i*g. Calculate the least common multiple of g and 22.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*j = 60*f - 64*f + 33, -f - 1 + 10 = -2*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 8:09 AM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 4*n**2 + 2*n + 4. Calculate the smallest common multiple of v(-2) and 2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of z**6\/540 - 2*z**5\/135 + 5*z**4\/108 - 2*z**3\/27 + 17*z**2. Solve w(p) = 0 for p.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 88?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*u**3 - 103*u**3 + 41*u**3.\nAnswer: -14*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 115\/15 + 490\/(-105).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 56 + 16. Calculate the highest common divisor of l and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (5 - 5) - (-4 + -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*n + 16*n + 4 = 0. Let w be 2\/(-4) - (-14)\/n. Suppose -w + 0 = -j. Solve j*k = -2*k - 5 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 8*v**3 + 3*v**2 - 12*v + 3. Let q(s) = -24*s**3 - 8*s**2 + 35*s - 8. Let h(j) = -3*q(j) - 8*r(j). What is the second derivative of h(n) wrt n?\nAnswer: 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1440 is divided by 914.\nAnswer: 526","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2731291 to the power of 1\/3, to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 PM and 5:34 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wfi when three letters picked without replacement from {w: 2, o: 7, v: 6, i: 1, f: 4}?\nAnswer: 1\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 112*b**2 + 7*b - 7. Let r be u(1). What is the greatest common divisor of 7 and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.52 and -835.6477?\nAnswer: 837.1677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/9 (b) -0.021 (c) -1\/8 (d) 156415\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 x when two letters picked without replacement from {x: 3, c: 5}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -2*p - 198012, 1 = -2*m - 7. Round p to the nearest ten thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1c499a (base 13) to base 16.\nAnswer: b0ded","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -12317 (base 12) in base 9?\nAnswer: -36721","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.374823 days in milliseconds?\nAnswer: 205184707.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - (-14 - 2)) + -10?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1489 + 1850 - 5*i + 159 + 162.\nAnswer: -5*i + 3660","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 103 - 110. Let x be (-24)\/c + (-5 - -2). Factor 2\/7 + 1\/7*v**2 - x*v.\nAnswer: (v - 2)*(v - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -139.0348 - -0.0348. Let c = z + 138.999999695. What is c rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*j + 1649 - 1649)*(7*j**4 + 5*j**4 + 4*j**4 + (-1 + j + 1)*(-3 + 3 - 2 + j**3)).\nAnswer: -306*j**5 + 36*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 + 6*k**2 - 46*k + 12. Let h be f(-10). Let t = h + -72. Solve -4*j + 8 = -t*s + s, 0 = 3*s - 2*j - 10 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -296 + 298. Suppose -73 = h*q - 465. Calculate the highest common divisor of q and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -68*x - 2721. Determine f(-40).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -52702 (base 12) in base 3?\nAnswer: -12111100102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) -5 (c) 21 (d) 2 (e) -0.06 (f) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/2461269 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3152.361 + -3152.3. Which is the closest to -0.1? (a) 0.4 (b) 2\/9 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5776 greater than -45359?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 16*v + 31. Let f be u(-1). Let s(o) = -3*o + 22. Calculate s(f).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y + 0*y + 0*y. Let d = 28 + -49. Let m be 1 + (-16)\/3 + 14\/d. Give o(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 1 + 5 + -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5761, 11470, 17179, 22888?\nAnswer: 28597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 3 - 3)*(5*v - 4*v + 0*v) - 3*v - v + 3*v + (0 - 1 + 2)*(2*v + 0 + 0) + 2*v + 0*v + 0*v to the form r*v + m and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -11 and -311.218.\nAnswer: 3423.398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110100 + -111?\nAnswer: -111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = c - 5*c + 436, -3*j - 5*c + 337 = 0. Let p = -100 + j. Solve p*y + 20 = -3*b, y = 5*b + 1 + 17 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 169687?\nAnswer: 7, 3463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from aawww.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*(-54)\/(-21) - 2*1. Sort 5, 3, l, 0.3.\nAnswer: 0.3, l, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (-26 - -66 - 12).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27 or 1.547?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2168352 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 4*o**2 - 5*o - 2. Calculate the remainder when y(-7) is divided by 58.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1579460189 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Put 3, 7, -1\/6, -2721, 0.03, -0.5 in ascending order.\nAnswer: -2721, -0.5, -1\/6, 0.03, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 541 - 466. Is 15 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27922 + 195453\/7. Let q(u) = u**2 + 4*u - 4. Let y be q(-4). Let t be (2\/(-10))\/((-8)\/(-10)). What is the closest to w in -5, y, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 12 = -6. Let y(j) = -6*j**2 + 21*j - 5. Let n be y(o). Factor 3\/2*d**2 + 0*d + 3*d**3 + 3\/2*d**n + 0.\nAnswer: 3*d**2*(d + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 366\/24 - 2\/8. Let u be ((-4)\/7)\/(4\/(-14)). Suppose 5*p + z = 83, u*p = -p - z + 51. Which is greater: p or a?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 300545 (base 6) to base 11\nAnswer: 16758","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 22 = -0*b. Let w be 1\/(2 - 21\/b). Suppose 9*g + 3*g - 36 = 0. Solve 2*j = 3*a + w, 2*a - a = -g*j - 11 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2901 - -3.493576.\nAnswer: -2897.506424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(-6)*(-80)\/(-140)*565\/(-452)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 9:44 AM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-108)\/(-18))\/(24\/188). Let p be u\/(-94)*(-7 + 1). Let 2\/11*y**p - 12\/11*y**2 + 16\/11 - 8\/11*y + 2\/11*y**4 = 0. Calculate y.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 - 9*l**2 + 8*l - 2. Let t = -1 - -4. Suppose 2*p - 4*y + 4 = p, p = -t*y + 17. Let a be r(p). Are -2 and a unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6.3 + -6.017. Let m = 0.037 - q. What is m rounded to two dps?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.18 - 8.82. Let x = o + 10.000972. Round x to four decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 285*z = 258*z + 513. Solve 4*b = 3*s + 26, 0 = 3*b - 3*s + s - z for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10285*d**2*k - 41081*d**2 wrt k?\nAnswer: -10285*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10110 (base 2) in base 11?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 - 2*s**2 + 4*s - 2. Let j be q(2). Let i(w) = -w**2 + 8*w - 8. What is the units digit of i(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 221 and 187.\nAnswer: 2431","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 76504911.162998805 - 76504911. Let q = -0.163 + d. What is q rounded to seven dps?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2*s**2 + 35*s + 25. Let v be l(18). Suppose -c - 111 = -j, 2*c = v*c + j + 573. Let h = c + 204. What is the tens digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 5 = f, -5 = -0*v - v - 3*f. Suppose -m + v*u + 10 = -4, 2*u + 4 = 0. Suppose -m*x - 10 = -242. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 12*p - 1. Suppose 4*v = 3*h - 92, 8*v - 3*v + p = -h. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 1 = 0, -6 - 1 = -2*x + h. Differentiate -7 + f**3 + 2*f**3 - x + 3*f**3 with respect to f.\nAnswer: 18*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 70 - 30 + 4*j - 26. Let c be w(-3). Solve -2*h = -4*t - 4, 0 = -c*t + 2*h - 0 + 2 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10161074 or -20322145\/2?\nAnswer: -20322145\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 5*d = -0*f + 10, 8 = -4*d. Suppose -33*i - 34 = -16*i. Sort i, f, -5, 12.\nAnswer: -5, i, f, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 556312 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-15)\/21*(24\/(-30) + -2). Solve -459 = -i*a + 3*k - 466, 3*a - 5*k + 13 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -106*m**3 + 2*m - 3*m + 104*m**3 in the form s*m**2 + b*m + i + w*m**3 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*b - 3*b - 4*b - 7*b + 10 - 10 - 14*b + 22*b + 2*b + (-3 + 4 - 2)*(0*b + 3*b - 4*b).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -69 - -68.9. Let n be 3\/1 + (-9 - -8). What is the nearest to 1.5 in d, -4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 4 + d**3 + 5*d + 3 + 1 + d**2 + 6*d**2. Let b(u) = 12*u - 2. Calculate the least common multiple of b(2) and v(-6).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54433 - 13848 = -301*f + 5436*f + 39554 for f.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1517172 by -6.\nAnswer: -252862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1773792, -1773777, -1773748, -1773699, -1773624, -1773517?\n\"Answer: u**3 + u**2 + 5*u - 1773799","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 3*z**5 + 2544*z**4 + 10119*z**3 - 7638*z**2 - 35472*z - 20256 = 0?\nAnswer: -844, -4, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 2*j - 15 - 31, 3*j - 56 = -5*h. Let g = -3 + h. Let a = g + 1. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/13)\/((-2)\/(-4)). Let v(o) = o + 7. Let h be v(-5). Suppose 4*l - l + 19 = -4*a, h*a - 5*l - 23 = 0. Which is greater: a or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*s + 99*s + 173*s - 4466 = 0 for s.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48953 is divided by 30.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -1. Let y be 16 + m*4\/8. Let n(w) = -w**3 - 7*w**2 + 3*w - 8. Let b be n(-8). What is the greatest common factor of y and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 39068 * 0.4.\nAnswer: 15627.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, -9\/4, 0.7, 408, 0 in descending order.\nAnswer: 408, 4, 1, 0.7, 0, -9\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((1*sqrt(133)*-3)\/sqrt(7) + -5 - (sqrt(209)*1*3 - sqrt(209) - sqrt(209))\/(sqrt(11) - (sqrt(99) + sqrt(99)*-2 - sqrt(99)))).\nAnswer: -88*sqrt(19)\/7 - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 322853 - 4197091\/13. Let t(j) = j**2 - 6*j + 6. Let f be t(5). What is the nearest to f in d, -3, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 3*s = 14, 3*v + 30*s - 25 = 35*s for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, -7, 5, -129, 695?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 + 13.34. Let y = 0.66 + f. What is the biggest value in y, 4, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9505 = -11*j + 6*j. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 11 = 4*x - 28, 0 = -2*x + 4*s + 10 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**4 - 2*o**4 - o**4)*(-3*o + 3*o + o) + (1345 + 1742 + 1839 + (-1 + 0 - 1)*(5 - 2 - 1))*(-2*o**5 + o - o).\nAnswer: -9845*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6247*i**2 + 801 wrt i?\nAnswer: -12494*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 17*s**3 - 13*s**2 + 12*s. Let i be x(1). Let y(z) = -i*z - 31*z + 5*z - 8*z. Let w(k) = 5*k**2. Determine w(y(r)).\nAnswer: 12500*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16\/11 - 134\/77. Let q be (-5 - -2) + 70\/22. What is the smallest value in z, 3, q?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 2*t**3\/7 - 464*t**2\/7 + 13024*t\/7 - 6400 = 0.\nAnswer: 4, 28, 200","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 176, 353, 530, 707?\nAnswer: 884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 5*i - 1346 = 0, 6388 = 4*d - 5*i + 974. Which is smaller: 1355 or d?\nAnswer: 1355","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8853300 to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -46*t**2 + 3*t**3 - 210*t + 211*t + 5*t**4 + 0*t**4 wrt t?\nAnswer: 120*t + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8040483 to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -19*2*(-96)\/456*(-304)\/32?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, d: 2, m: 1, k: 1}. Give prob of sequence zdz.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 252 divide 32943458?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 0.165009704\nAnswer: -0.165009704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.389436208 to 5 decimal places.\nAnswer: -0.38944","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3160 by 8.\nAnswer: -395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + w + 5*z - 16, w + 3*z - 11 = 0. Is (-1263)\/w*1 - (3 + 1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3446 is divided by 32.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10310201 + 3?\nAnswer: 10310210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((m + 5 - 5)*(1 - 2 + 3) - 4*m + 3*m + 3*m + (11*m + 18*m + 36*m)*(-3 - 3 + 5))*(0 - 1 + 0)*(-2*m - 2*m - 17*m).\nAnswer: -1281*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 - 8*w**2 - w + 3. Let v be y(8). Let x = 75945 + -75945.1. Which is the nearest to -2\/3? (a) 0.3 (b) 1\/4 (c) v (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 + 18. Suppose 92*t + 103*t + 2438 - 7508 = 0. What is the remainder when t is divided by u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 + 4*v**2 + 5*v + 11. Let s be z(5). Is 10 greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 + (-1)\/(0 - 1). Solve 4*f - 1 = -i for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -4*g**2 - g. Let n be y(-1). Is -2*(-2 - n) + 15 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -12. Let y = h + 2. Suppose -4 = -2*n, -y = 4*p - 5*p - 4*n. Calculate the remainder when 3 is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.6639 + -2.3361. What is the closest to -47\/2 in k, -3\/5, 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 13*f - 12*f. Suppose 3*x = 10 - f. Suppose 233 = x*v + 65. List the prime factors of v.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*h**3 + h**2 + 36*h**3 + 35*h**3 - h to the form q + k*h + o*h**2 + c*h**3 and give c.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -8926*r + 321333. Calculate a(36).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 68, 130, 192, 254, 316, 378?\n\"Answer: 62*t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + -22 - -18 - 15) + 9 + 0?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5481.\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3301 - -11?\nAnswer: 3312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -38494 - -2463677\/64. What is the common denominator of d and (332\/320 + -1)*50\/(-8)?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 2 + -10 - -3 - 2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -504 (b) 1.6 (c) 0.03 (d) 4 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -76b58 (base 14) in base 2?\nAnswer: -1000110001101111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - 84356056?\nAnswer: -84356057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 100668889673 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, x: 2, s: 2, w: 1, j: 2, l: 1}. What is prob of sequence bbj?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-2\/81)*w**(-6\/19)*w**(-30)*w**(-3\/2) assuming w is positive.\nAnswer: w**(-98005\/3078)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2954?\nAnswer: 2, 7, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + (-429)\/(-3)*1. Suppose -4*l = c - w, -5*l + 180 = -5*c + c. Let b = -17 + 29. Calculate the highest common factor of l and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -68, -23, 92, 271, 508?\n\"Answer: -z**3 + 41*z**2 - 71*z - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -256 and -258 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -18\/155, 1.1, 1302 in increasing order.\nAnswer: -18\/155, 1.1, 4, 1302","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) - (sqrt(117) - -1*sqrt(117)*-6))\/((sqrt(54) + sqrt(54)*2)\/sqrt(6)) + -2.\nAnswer: -2 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1278663.\nAnswer: 3, 89, 4789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*a**2 + 4*a**2 - 43*a + 2*a**3 + 2*a**3 + 47*a - 2*a**2 - 1 as z + i*a + c*a**3 + n*a**2 and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5565\/11 + 33379\/66. Which is the second smallest value? (a) -4 (b) 6 (c) p (d) 5\/3 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 50 and 847570.\nAnswer: 4237850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -233.\nAnswer: 5\/233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 - 6*r**2 - 5*r + 2. Let w be a(-5). Let h(s) = -329*s**2 + 111*s**2 + 2*s - 6 + 107*s**2 + 5 + 112*s**2 - 2*s**3. Calculate h(w).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of -m**5\/120 + m**4\/24 + m**3\/3 + 2. Let s(p) be the third derivative of j(p). Let f be s(-6). Solve f*t - 9 = 4*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6978 or -55823\/8?\nAnswer: -55823\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 85568 divided by -3?\nAnswer: -85568\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 4:29 AM?\nAnswer: 4:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 4. Suppose -4*h = -r*h - 18. Let k be ((-12)\/h)\/((-2)\/12). What is the greatest common divisor of 4 and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 16 = 6*b. Suppose 3*w = w + b. Calculate the lowest common multiple of 4 + 2 - 1*-1 and w.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 215*s - 4860 - 6750 = 0 for s.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7457 or 7456?\nAnswer: 7457","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 379 - 353. Suppose 0 = 8*i - 10*i + 5*x - 8, -3*i + g = 2*x. Let j(p) = -5 - 4*p - p**3 + p**2 + 6*p**2 - 3*p. Determine j(i).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 55, -25, -241, -659, -1345, -2365?\n\"Answer: -11*k**3 - 2*k**2 + 3*k + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -177*y + 62*y + 1006553 + 342742 = 0. What are the prime factors of y?\nAnswer: 3, 3911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in six fifths of a millennium?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -32*m + 56. What is the biggest value in -2, m, 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -32419.\nAnswer: 9725.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/8*((-120)\/(-35))\/(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5141 - -142?\nAnswer: -4555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2083 in 6\/96251, 1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -3. Let y be (-1 - 1)\/(s\/(-322)). Is 1 + (-1 - 0) + y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, -2, 462 in decreasing order.\nAnswer: 462, 19, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 3*v + 18 = 0, -25 - 29 - 21 + 54 = -16*d + 3*v for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + q + 3*q)*(4*q**2 + 5*q**2 - 6*q**2)*(-q + 1 - 1)*(2 - 3 + 3).\nAnswer: -12*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 556741 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 5*z - 12. Suppose -z*o + 6*o = 81. Is o a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-16)\/(-56) - 1*(-4887)\/21 is divided by 39?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5863*b**2 + 36*b + 5856*b**2 + 42*b to the form k*b + t + o*b**2 and give o.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2283, -2273, -2263, -2253, -2243, -2233?\nAnswer: -2223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -d - 25845, 5*d + 56135 = 3*u + 17371. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 187\/30 and 43\/705.\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 9:23 AM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3c8ab - 20?\nAnswer: -3c8cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*k - 2*x, -20 = 13*k - 9*k - 2*x. Sort k, -2, -53 in descending order.\nAnswer: -2, k, -53","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-228)\/95*20\/(-16)*1)\/(3\/67).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of -k**4\/12 - 4*k**2 - 3. Let u(q) be the second derivative of x(q). Let v(n) = 3*n. Determine -4*u(w) - 3*v(w).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of c**4\/12 - c. Let g(p) = -p**2 + 4*p + 4. Let b(m) = 2*m**2 - 7*m - 7. Let v(f) = 4*b(f) + 7*g(f). Give v(u(t)).\nAnswer: t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 380837.2 nanometers?\nAnswer: 380.8372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -29550 - -31101. What is the greatest common factor of 165 and b?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(2\/(-15))*2724\/18160?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*f**2 + 7203873*f\/5 - 1296702\/5 = 0 for f.\nAnswer: -48026, 9\/50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 3*d - 3*u - 154, -4*u = 2*d - 92. Differentiate 11 - 2*a**3 + 53*a**4 + 2*a**3 - d*a**4 wrt a.\nAnswer: 36*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*16.\nAnswer: 3.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 3, -0.2, 1, 6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 + 3*m**2 - 6*m - 3. Let u be t(-4). Suppose u*i - 37 = 23. What is the remainder when 34 is divided by i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbibbbib. Give prob of picking 1 i and 1 b.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5\/2, -5, -0.069?\nAnswer: -0.069","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -3.0717.\nAnswer: 3.0717","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 447194?\nAnswer: 2, 11, 20327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.462, 590, -3, -1\/2 in decreasing order.\nAnswer: 590, 0.462, -1\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p = -p - 120. Solve 5*b - 10 = p for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-6) + (-380)\/(-6). Suppose -2*y = -0*y - b. Suppose -4*p - 11*j + 3*j = -132, 2*p - j = 61. Which is bigger: y or p?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 473188561?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*g + 4*x - 23 - 13 = 0, 1087*g - 12 = 1083*g - x for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 177112534.5626 and 0.5.\nAnswer: 177112535.0626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3311?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9 - -5 - (0 - (-1 + -4)). Solve 0 = -4*g + 5*p, -g - k = -2*p + 3*p for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11741482?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(132) + -2*sqrt(132)) - sqrt(132) - sqrt(132)) + sqrt(132) - sqrt(132)*1*3)\/((sqrt(1200) + sqrt(1200)*5)*1)*1.\nAnswer: -2*sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50908815 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 5*m**3 + 4*m**2 - m + 10. Let l(j) = 4*j**3 + 3*j**2 - j + 9. What is 3*l(k) - 2*o(k)?\nAnswer: 2*k**3 + k**2 - k + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 - 6. Let t = 15 + 50. Suppose 0 = 5*w + 2*x - 77, -t = -2*w - 2*w - 5*x. Solve -4*y + y = 4*a - w, -2*y - 2*a = -u for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j**2 - j**2 + 3*j**2 - 4*j**2 + 4*j**2 - 2*j**2 + (-2 + 3 - 4)*(25 - 25 - 15*j**2))*(-1 - 2*j**2 + 1).\nAnswer: -82*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 349*y - 16489. What is x(47)?\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 - 4*k - 3. Let a be z(-4). Let i be 4\/3 + (-257)\/(-3). What is the highest common divisor of a and i?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 186 - 118. Let o = -38 + n. Suppose 4*s = -s + o. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11352971 + 11352978.8000011. Let v = -7.8 + q. What is v rounded to seven decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, f: 1, w: 1}. What is prob of sequence wzf?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 182\/30 - 24\/(-40). Let l(a) be the first derivative of 2 + 5*a**4 + 1\/3*a**6 + 5*a**2 + 2*a + 2*a**5 + b*a**3. Find t, given that l(t) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-3)\/30*(-12)\/6.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 g when three letters picked without replacement from {s: 9, g: 2}.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-213 - 70 + 383)*(0*w + 0*w + 2*w)*(w - 4*w + 2*w) to the form p + b*w + d*w**2 and give d.\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -14, -5, 2.3, 0.3 in decreasing order.\nAnswer: 2.3, 0.3, -0.2, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 39593529 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 694678.8 months to centuries.\nAnswer: 578.899","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wiwiwwi. What is prob of sequence iiw?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -5, -4*z + 3*z + 328 = -5*u. Suppose -38 = 5*c - z. Let s = c - 52. Is 4 bigger than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 560 and 2960?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of b**2 - 1\/5*b**5 + 9\/8*b**4 + 0 + 0*b - b**3. Factor y(h).\nAnswer: -3*(h - 2)*(4*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 8*c**2 + 3*c + 1. Let b be z(4). Let t = b + -66. What is the greatest common factor of t and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 + 4*w - 38. Let u be r(0). Let z = u - -43. Suppose -4 = -3*k + z*b + 211, 4*k - 2*b = 296. What are the prime factors of k?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10.8 - -11. Let i be (3\/(-20))\/((-18)\/72). Which is the second biggest value? (a) i (b) l (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4457 - -49029\/11. What is the third biggest value in -1\/4, -0.4, -1\/5, 1\/4, o?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*j - 3*j + 189 = 0. Let a(u) = -u**3 + 5*u**2 + 5*u + 7. Let k be a(6). What is the greatest common divisor of k and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 3*g**2 - 138*g - 673. What is the thousands digit of d(62)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1498 (b) 1 (c) -4 (d) 32 (e) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)*1*5)\/(sqrt(432)\/sqrt(6)).\nAnswer: 5*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -169644553 and -169644553 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(4\/((-16)\/(-3))). Let n = -1 - y. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-5 + (4 - 1712))\/(-1) is divided by 99.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.879271 to two decimal places.\nAnswer: 7.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 74 + (-15)\/(-6)*(-8 - (-238)\/35). Calculate the greatest common factor of a and 6887.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12884413 is divided by 93.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 w when two letters picked without replacement from ncpnncbnlncwwwnwwnln?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1738, 1740, 1742, 1744, 1746, 1748?\nAnswer: 1750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (72\/(-27))\/(2\/(-15)*-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2, -5, 0.48, 2\/27, -1\/5?\nAnswer: 0.48","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5576230 + 5?\nAnswer: 5576235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 64*y**3 + 50154*y**2 - 4107938*y wrt y.\nAnswer: 384*y + 100308","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2 - -0.2. Let f be 150\/10 - (0 - -2). Let v(x) = -x**2 + 12*x + 15. Let p be v(f). Put l, -3\/7, p in decreasing order.\nAnswer: p, l, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12208375 divided by -10?\nAnswer: 2441675\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, -11, 5, 3066, 0 in decreasing order.\nAnswer: 3066, 5, 4, 0, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -442368 divided by 18?\nAnswer: -24576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -783 divided by 1?\nAnswer: -783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -260\/3801 and -2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -108, -600, -1874, -4320, -8328, -14288?\n\"Answer: -65*v**3 - v**2 - 34*v - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -162030, -322619, -483194, -643749, -804278, -964775?\n\"Answer: w**3 + w**2 - 160599*w - 1433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of -3*z + z**2 + 5\/3*z**3 + 3. Does 18 divide q(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(136)*-3*5 + sqrt(136)))\/(sqrt(56)\/(sqrt(35)\/(sqrt(5) + sqrt(5) + sqrt(180)))))**2.\nAnswer: 833\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 1025.\nAnswer: -1\/1025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 + 5*x**2 - 6*x - 30. Let k be m(-5). Suppose k = 6*l + 3*l - 117. What is the remainder when -3 + (-4 - -1) + 68 is divided by l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 43.8 + -38. Let x = m + -6. Let n = -0.005 + 4.005. Put n, x, -2 in decreasing order.\nAnswer: n, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 234*h + 154*h + 31*h in the form b + f*h and give f.\nAnswer: 419","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 b when three letters picked without replacement from bwwwmwbbwbbwwwm?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7.47 + 7.07. Put 53, -1.2, o in decreasing order.\nAnswer: 53, o, -1.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5167, -41356, -139625, -331012, -646555, -1117292, -1774261, -2648500?\nAnswer: -3771047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.9 + 2. Suppose -3*l - 3*c + 5 = -7, -c + 3 = 0. Let u = -3 - 1. What is the closest to l in u, 0.5, d?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of -5*w**4\/6 + 33*w. Let q(n) be the first derivative of 7*n**3\/3 + 15. What is r(q(s))?\nAnswer: -490*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.22014 millilitres in litres?\nAnswer: 0.03622014","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3111, -8008, -12905, -17802?\n\"Answer: -4897*z + 1786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5ac4c0 (base 13) in base 15?\nAnswer: -2ccb31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 64*p**2 + 17*p + 15. Calculate l(-1).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = 2*a + 7, -4*a - 1128*v + 41 = -1133*v for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -197 - -197.18. Let h = -142.18 + 138. Let s = h + q. Which is the nearest to -3? (a) 4 (b) -1\/5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 136323*o**2 + 308*o + 1 + 142*o - 136324*o**2 in the form i*o**2 + f*o + n and give f.\nAnswer: 450","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1064 and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 5465029, 43720274, 147555941, 349762240, 683129381, 1180447574, 1874507029?\n\"Answer: 5465035*v**3 + v**2 - 3*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 108 - 98. Solve -c*t + 9 = -7*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.37, -0.14, -4, 5, -44\/3?\nAnswer: -44\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -34 - 2141042?\nAnswer: -2141131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from bcfcbfcccf.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 79, 165, 259, 361, 471, 589, 715?\nAnswer: 849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3442 + 10142. What is the highest common factor of l and 500?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4270897377?\nAnswer: 3, 474544153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 - 113*j - 755. What is the remainder when 984 is divided by m(-9)?\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-185)\/(-20) + (-2)\/8?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, l: 7}. What is prob of sequence loo?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 111 = 117. Suppose -2*s + 5*q = -27, 3 = -2*q + 5. Let f(t) = -2*t**3 + 31*t**2 + 14*t + 47. Calculate the remainder when w is divided by f(s).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-48)\/(-20))\/(-4)*-5. Suppose 3*k = y + 99, -l*k + 4*y = -126 + 18. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, -316, -3 in decreasing order.\nAnswer: -3, -4, -5, -316","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 + 4*s**2 - 4*s + 2. Let p be ((-8)\/10)\/(2\/(-5)). Let a be u(p). Let r be (3\/(-9))\/(a\/(-18)). Put r, -1, 1 in descending order.\nAnswer: r, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -13*j**2 + j. Let g(t) = 17*t - 9. Let v(a) = 2*a - 1. Let l(q) = 4*g(q) - 36*v(q). Give l(m(s)).\nAnswer: 52*s**2 - 4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2818 = -34*g - 608. Calculate the remainder when 174 is divided by g.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 7:20 AM?\nAnswer: 6:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00005443732 rounded to 6 dps?\nAnswer: 0.000054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 127 (base 9) to base 6\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209) - -5*(sqrt(209) + sqrt(209) + 1*sqrt(209) + sqrt(209) - sqrt(209)) - sqrt(209) - 6*sqrt(209)*-1)\/(4*-5*-2*sqrt(539))*3.\nAnswer: 9*sqrt(19)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15232440 to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 47 = -500*q + 496*q, 2*q + 1 = y for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*s + 8*s + 6382. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -105 - -107. Let o(d) = 2*d**2 + 33*d + 20. Let n be o(-14). Let h = -47 - n. Solve 5*s + h = r*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4954 is divided by 18.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1091451, -2182916, -3274381, -4365846, -5457311?\n\"Answer: -1091465*q + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.59 + 0.41. Sort -0.3, 1, -1\/7, k.\nAnswer: -0.3, -1\/7, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29695 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/3)\/o*o)\/o*o*o**(-3))\/(o*o\/o**8*o**(-12)) assuming o is positive.\nAnswer: o**(43\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -3*k - 30. Let j be i(-13). Solve 4*p + 5*b = 41, -j = 7*p - 3*p - 5*b for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of j**6\/24 - j**5\/15 + j**4\/6 + 43*j**2. Let s(t) = 6371 + 0*t - 4*t**3 - 6371 + t + 5*t**3 - t**2. Calculate a(c) - 4*s(c).\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r**(-14)*r**(-1\/8))\/(((r*r**(1\/6)\/r)\/r*r)\/r)**19 assuming r is positive.\nAnswer: r**(89\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 5*b**2 - 21*b**2 + 14*b**2 + 8*b**2. Let a(p) = -156*p. Determine s(a(j)).\nAnswer: 146016*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12*9\/6)\/(66\/(-693)). Find the common denominator of 107\/54 and 663\/l - (-42)\/(-147).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 - 6. Let x be v(-3). Suppose 0 = -x*t + 2*t - 50. Let p = t - -54. Solve 3 = -p*z - 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4112000 to the nearest one hundred thousand.\nAnswer: -4100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/3 + 158*m + 1449.\nAnswer: -(m - 483)*(m + 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 147 = -3*t, -2*z = -t - t + 100. Let n = 81 - t. What is the highest common factor of n and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 996, 1999, 3006, 4017?\n\"Answer: 2*m**2 + 997*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of q**6\/24 - q**5\/60 + q**3\/6 + 2*q**2. Let y be j(1). Solve 2*v - 1 = y for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -530\/91 - -72\/13. What is the nearest to -2 in -2, -0.2, 2\/5, l?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 divided by 23809\nAnswer: 11\/23809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 k when two letters picked without replacement from {q: 5, n: 1, x: 1, e: 4, k: 1}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24 by -3.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6580?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4 (b) 21\/5 (c) -3 (d) 0 (e) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does -98 = 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 959650*c + 0 - 959650*c - 7*c**2.\nAnswer: -7*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1528495028.\nAnswer: 2, 43, 8886599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 + 1. Let o(m) = 29*m**3 + 6*m**2 + 6. Determine o(h) - 6*x(h).\nAnswer: 29*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**2 - 2918*y + 14565 = 0. What is y?\nAnswer: 5, 2913","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 t, and 1 b when three letters picked without replacement from {m: 1, b: 1, p: 2, t: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32 - -105. List the prime factors of h.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 189 to the power of 1\/2, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -5*g + 6. Let c be v(1). Suppose -8 = -d - c. Solve -d*k = -2*f - 2*k - 29, -21 = 3*f - 3*k for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 49\nAnswer: -3\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 - 24 - 9 - 7?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 238*w + 15. Let h(l) = 235*l + 17. Give -7*c(r) + 6*h(r).\nAnswer: -256*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 712 = s, 8*p + 4*s + 1090 = 5*p. Let y = 458 + p. Let r = 15 + 25. What is the highest common divisor of r and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17263*p**3 - 1580*p**2 + 7 wrt p?\nAnswer: 103578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48, -78, -128, -198, -288, -398?\nAnswer: -528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*a + 187793 = -420325. What is the ten thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 40696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in 5, -1\/6, 0, 3\/2, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6765977, -6765965, -6765953, -6765941, -6765929, -6765917?\nAnswer: -6765905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of g**3\/3 + 2*g + 1618. Let h(k) = 19*k**2 + 41*k**2 + 68*k**2. What is u(h(c))?\nAnswer: 256*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -626639*n**4 - 463922*n.\nAnswer: -7519668*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 3 = 3 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 195 = 2*j. Let b be ((-39)\/(-4))\/(2\/8). Suppose 0 = -2*h - h + b. Calculate the greatest common divisor of j and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 AM and 10:52 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 113134828?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 71*z + 439. Let v(r) = 452*r + 2632. What is -13*t(f) + 2*v(f)?\nAnswer: -19*f - 443","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1319 is divided by 596?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47324, 94559, 141794, 189029, 236264, 283499?\nAnswer: 330734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 AM and 10:26 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(24))\/(sqrt(27)\/(sqrt(9)*-1)).\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3539693 - 0.011603.\nAnswer: -3539693.011603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = -3*b - 12. What is the nearest to 3 in -2, 0.1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 j when three letters picked without replacement from {j: 3, k: 1, e: 1, b: 3, n: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**3 - 2*x**3 + 2*x**3)*(-1 + 1 - 2*x) + 0*x**4 - x**4 + 0*x**4 + (15*x**3 - 11*x**3 + 41*x**3)*(3 - 8*x - 3).\nAnswer: -363*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of -22\/3*q**6 + 0*q**4 - 3 + 6*q + 0*q**2 + 0*q**5 + q**3. What is the third derivative of g(n) wrt n?\nAnswer: -2640*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 3*i + i - 316, -3*v + 489 = 3*i. Calculate the remainder when v is divided by 30.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = d + 1148, 275*a - 1704 = 278*a - 3*d. Which is smaller: a or 1\/16?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 3:23 AM?\nAnswer: 2:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -139*g**3 + 209*g**3 - 56*g**3.\nAnswer: 14*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i - 4. Let f(l) = l + 4 + 2*l + 2. Let x(k) = -5*f(k) - 8*y(k). Let z(t) = -t - 3. Let r be (2 - 0)*1 - 4\/(-2). Calculate r*z(a) + 6*x(a).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s**2 - 19*s - 14. Suppose -20 = 4*t - 5*t - 2*z, -4*z = 5*t - 70. Let h be c(t). Suppose -19 = 3*r - x - 2, -35 = 5*r - 5*x. Sort 1\/9, r, h.\nAnswer: r, h, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 41733464 and -716.6?\nAnswer: 41734180.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6255539 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12018*j**3 - 3*j**2 + 1754*j.\nAnswer: -72108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(-11*42)*4\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -94 + 96 - ((-1 - -1) + 16 + -7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + (5 - 8) + -9?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 859074 - -3?\nAnswer: 859077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 104, 200, 294, 386, 476?\nAnswer: 564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -62\/4355173 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 7\/((-210)\/(-5))*6\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5\/3, 11, 0.4?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/6)\/((-8)\/12).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 1544*x**2 + 226910*x - 8532. What is i(-147)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16019*g**5 - g**3 + 56531*g**2 wrt g?\nAnswer: -961140*g**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 2*z = 62, -4*u = z + 31 - 78. Suppose 0 = 14*w - 11*w - 5*b - u, 4*w = 4*b + 20. Put -42, 1, w in increasing order.\nAnswer: -42, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 8\/5, -13, 1\/10, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o + 2. Let a be b(0). Suppose -r - a*r = -6. Let x(l) = r - l**2 - 2. Let c(u) = 2*u. Give c(x(q)).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 AM and 12:47 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -11*g**3 - g**2 - 56*g - 5. Let y(c) = 22*c**3 + 3*c**2 + 109*c + 12. Give -5*t(n) - 2*y(n).\nAnswer: 11*n**3 - n**2 + 62*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.1 (b) -7 (c) -2\/5 (d) 132.48 (e) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 22 = -c, 5*j = -3*c - 0*c + 2. Let t be (-1)\/c*-2*3. Let v(b) be the first derivative of -2*b**4 + b**3\/3 + b**2 + b - 435. Determine v(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -30 - -30.005. Let o = n - 0.0050061. What is o rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12\/7 - 8\/(-28). Suppose -18 = -3*k + f*k. What is the highest common factor of k and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.679604ng to grams.\nAnswer: 0.000000001679604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -32 + 34 - 14*o + 2*o. What is the tens digit of a(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - (-5)\/5)*269 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((352\/16)\/2)\/(((-1)\/(-3))\/((-14)\/42))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -59 - -60.7. Let u = f - -4.3. What is the third biggest value in u, 0.5, 5\/2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.5 - -1.5. Sort -0.5, q, -0.1 in ascending order.\nAnswer: -0.5, -0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/6*(-108)\/(-144). Let i(w) = -8*w**3 - w**2 + 4*w + 2. Let g(y) = 8*y**3 + y**2 - 3*y - 1. Let m(j) = -3*g(j) - 2*i(j). Give m(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= -59\/67697?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 565768592?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 AM and 12:22 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/39)\/(8036\/(-7462)) + (-1)\/3.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*s - 16*s + 5*f - 15, 0 = 2*f for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1655438 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 179*j - 21*j - 109*j + 228*j.\nAnswer: 277*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 894064 and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -233215413 (base 7) to base 16\nAnswer: -db974a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 AM and 5:11 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/((sqrt(140)\/sqrt(5))\/sqrt(7)).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l**2 - 53*l + 127. What is q(20)?\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of i**3\/3 - 15*i**2\/2 + 38*i - 77. Is y(17) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124496 is divided by 470?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 591528911 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(1792)*4)\/(-1*sqrt(100)).\nAnswer: -32*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.2 + 3.9. Let v = f + -3.6. Round v to one dp.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4\/45417 + -209493470\/136251. Let u = a - -1545. What is the common denominator of 46\/18 - (-1 - -1) and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(612) - (sqrt(136)*-3)\/sqrt(8).\nAnswer: 3 + 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 592445?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -2.28835?\nAnswer: -2.28835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.07? (a) -79.05 (b) 9\/4 (c) -0.2 (d) 0 (e) 30\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -103122003013311 + 10?\nAnswer: -103122003013301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*t + 3, -7*r + 5*r = 2*t for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -5*f**2 - 86*f + 74. Give s(-17).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -3. Let y be (p - -1) + (-32)\/(-4). Let o = y - 3. Solve -v + 4 = -2*q - o, -q + 2 = 3*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 365 a factor of 65835050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26805074 to the nearest integer?\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -118*d + 4937 + 4112 - 6925 for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2 + 2 + 2 - 7*o - o**2 + 2. What is the units digit of b(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7465 + 59875\/8. Let z = -1817\/88 + l. Calculate the common denominator of -20\/7 and z.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a7001 - 12e?\nAnswer: a6dc2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 84*i - 730 = 678 for i.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-14)\/(-8))\/(2\/8). Suppose 7*a - 2*a - 2*k + 448 = 0, -a + 5*k = 85. Let p = a - -139. What is the highest common factor of p and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 159, 265, 441, 687, 1003, 1389, 1845?\nAnswer: 2371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17201 is divided by 8600.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 41058977*o**6 + 32*o**2 + 376295 wrt o?\nAnswer: 4927077240*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 18*v**2 - 2*v - 10. List the prime factors of d(-4).\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 7*h**2 + 5*h + 18. Let k be a(-18). Suppose -2*i = 2*b - 882, 8*i - 6*i = -5*b + k. What are the prime factors of b?\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -599 - -617. Let u(i) = 26*i**3 + 2*i**2 - i. Let f be u(1). What is the greatest common divisor of d and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 174 (base 9) to base 11.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3*11\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-874)\/228)\/((-2)\/4)*3?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 5*a + 53, 3*a + 199 = -28*u + 33*u. Calculate the remainder when 1066 is divided by u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 119 - 153*r**2 - 56 + 8*r - 58 + 77*r**2 + 75*r**2. Let c = -7 - -16. Determine n(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**2*g**1*(g*g*g*g*g**0)\/g*g\/(g**6*g))\/((g\/(g\/(g**4*g)))**44)**15 assuming g is positive.\nAnswer: g**(-3300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pplppppl. Give prob of sequence plp.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*h + 30*h - 23*h - 2 - h - 2 + 3 + (1 - 2 + 6)*(-h + 3*h - 3*h) + 4*h - 4*h - 2*h as x*h + a and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + n = -7. Suppose -11*l + 16 = -n*l. Factor 69*f + 98*f**l - 8 - 56*f**3 - 45*f**2 - 59*f**2 + 14*f**2 - 13*f.\nAnswer: 2*(f - 1)*(f + 1)*(7*f - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9344.5809 rounded to the nearest 100?\nAnswer: 9300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 23\/2 (b) 54 (c) -303.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y**3 + 2*y**2 + 3*y + 1. Let c be d(-1). Sort -4, c, 2, 9 in descending order.\nAnswer: 9, 2, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 + 38\/3. What is the closest to 0.1 in 1, -6, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uguuggggugxxuguuggx. What is prob of sequence xgux?\nAnswer: 21\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9225.\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c + 10. Let m be r(12). Let o be (m\/(-2))\/(5\/95). Suppose 31 = 5*y - o. Is 4 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 + 28*f**2 + 55*f + 34. Let d = -322 - -297. List the prime factors of p(d).\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -2*h**2 + 8*h + 64 = 0.\nAnswer: -4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 6*w**2 + w + 4. Let r be x(-4). Let u = r + -67. Let l = u + -86\/3. Which is smaller: l or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 - 16*k + 26. Calculate the remainder when c(-13) is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-5)\/(v\/(v**(-4)\/v)*v))\/((v**(-1\/4)*v)\/v)**(-20\/3) assuming v is positive.\nAnswer: v**(-41\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 z when four letters picked without replacement from {z: 2, g: 5}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of 0*a**3 + 0*a - 8\/5*a**5 + 11 + 0*a**4 + 2*a**2. What is the second derivative of k(w) wrt w?\nAnswer: -96*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 227370 divided by 5830.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 - w + 2. Let y(x) = -x**2 - 10*x - 95. Let p(f) = -2*o(f) - y(f). Let i be p(17). Solve -i*c = -0 - 6 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/8333658 and 79\/688.\nAnswer: 66669264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 21*m**2. Let p(x) = -18848705*x**2. Determine g(p(w)).\nAnswer: 7460747283717525*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -281 - -300. Let m = w + -21.85. What is m rounded to one dp?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -75 + 153\/2. Sort -0.5, 8, r in decreasing order.\nAnswer: 8, r, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -8\/7, 1, -2, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + (-176)\/132*(210\/(-8))\/5. Let y(n) = -n**2 + 10*n + 16. Give y(p).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = b - 67 + 6, -4*h = 5*b - 385. Let a be 30\/(-75) - -1*(-137)\/(-5). Calculate the greatest common factor of b and a.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*j - 59*j + 453 - 3 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000537518201 to 6 decimal places.\nAnswer: 0.000538","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wrryyryyrrrywrrrryyr. Give prob of sequence yw.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 178*y - 17 = 5*i + 181*y, 0 = i + 8*y + 33 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 0.4, -2, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 204*k**2 - 84*k + 743. What is the thousands digit of j(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a microsecond in nanoseconds?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.1 - -12.9. Let f = 12 - n. Put -1, f, -2\/11 in descending order.\nAnswer: -2\/11, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of 1345*h**6\/6 + 2*h**3\/3 + 83*h**2 + 1129. Find the third derivative of p(u) wrt u.\nAnswer: 80700*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1284\/5*g + 123\/5*g**3 - 666\/5*g**2 - 168 - 3\/5*g**4.\nAnswer: -3*(g - 35)*(g - 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 7*j + 49 = 2*j, -3*j - 9 = x. Let n = x - 1. Solve t + 5 = 4*g, -t = -2*t - n*g + 13 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 13 = -10. Solve 5*d = -2*g - 8, g - 1 + 5 = -n*d for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14081\/25284 + -5\/6321. What is the common denominator of y and 59\/16?\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 5*a = 0. Suppose -3*l + a = -6. Differentiate l*b**4 + 72*b**2 - 72*b**2 - b**4 + 5 with respect to b.\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26621 - 26608. Let o(g) = -3*g**3 + g**2 + g + 1. Calculate the remainder when h is divided by o(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -2*t**2 + 864558104*t - 93432589399009352 = 0.\nAnswer: 216139526","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -103, -94, -83, -70?\n\"Answer: g**2 + 6*g - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-825)\/110)\/((-35)\/(-28))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 146 = -4*h, g + 2*h - 126 = 16. Let v = -133 + g. Solve z - v*x = 17 + 8, 5*z - 5*x - 45 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.9 + 3. Let n = -17.08 + 13.08. Let s = 7.2 - 7. Put -2, r, s, n in descending order.\nAnswer: s, r, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.6825983 centuries?\nAnswer: 0.06825983","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4177.99997939 - 4178. What is g rounded to 6 dps?\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -11, -4, 7, 22, 41, 64?\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2848 is divided by 143?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2*d + 2. Let o(k) = 1. Give -3*h(x) + 6*o(x).\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -5*v. Let f(x) = -204*x**2. Give y(f(g)).\nAnswer: 1020*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 7064, 14349, 21850, 29561, 37476, 45589, 53894, 62385?\n\"Answer: -j**3 + 114*j**2 + 6950*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.12 - 0.72. Let b = s - -0.7. What is the closest to 2\/5 in 5, 2\/7, b?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 2:55 PM?\nAnswer: 5:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26 - 23. Suppose 5 + 7 = c*n. Calculate the remainder when 26 is divided by 0\/((-4)\/n) - -7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -28478 + -4281?\nAnswer: -32759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00013048222 rounded to 6 decimal places?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -4*o**5\/5 - 28*o**4\/5 + 4*o**3\/5 + 28*o**2\/5 = 0?\nAnswer: -7, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/9*105\/10)\/(-3).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -452 - -455. Solve -8\/5*s**4 + 4\/5 + 8\/5*s**g + 2\/5*s**5 + 4\/5*s**2 - 2*s = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of 215*v**4\/24 - 355*v**3\/6 + 128*v**2 + 2*v. Find the first derivative of w(m) wrt m.\nAnswer: 215","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 156 and 26148.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 26*t**3 + 2*t**2 - 1. Let j(g) = 8*g - 12. Let c be j(6). Let h = c + -35. What is q(h)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 15106387 + 9?\nAnswer: 15106395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -128, -136, -144, -152, -160?\nAnswer: -168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 + 11. Let l(v) = -34*v - v**r + 34*v. Let d(m) = -m**2. What is l(d(h))?\nAnswer: -h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -99 - -124. Is 5 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 372 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*r + 50*r = -253*r + 3471 for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -380 + 233. Let c = -107 - x. What is the greatest common factor of c and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -648*i**2 + 109*i**2 + 12*i**2 - 166*i**2 as o*i + a*i**2 + u and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3262 - -3261.5238. What is j rounded to two dps?\nAnswer: -0.48","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/5 + 619049232*c\/5 - 47902743954973728\/5.\nAnswer: -2*(c - 154762308)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 16*s**2 + 5*s + 3. Let g be -2 + (-96)\/(-45) + (-47)\/15. Is 44 a factor of m(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, g: 1, l: 1, q: 5, o: 3}. What is prob of picking 1 l and 2 q?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a decade in months?\nAnswer: 1260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -218\/3 - -74. Let l = 2.128 - 0.028. Let u = l - 2. Which is the nearest to 2\/7? (a) -1\/9 (b) y (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -4*x - 9. Determine n(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a centimeter in micrometers?\nAnswer: 42500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -46 + 56 - 8*k**2 + 4*k**2. Let j(m) = m. Determine b(j(l)).\nAnswer: -4*l**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/12225897 and -49\/18.\nAnswer: 24451794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.8307677 - 46.1691803. Let q = s + 49. What is q rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 50, -18, 3 in ascending order.\nAnswer: -18, -2, 3, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8001 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.207 - 3.207. Put 5, 6, u, -4\/5 in descending order.\nAnswer: 6, 5, -4\/5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.19 - -1.81. Which is the smallest value? (a) 1.2 (b) v (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2560458*x**2 - x - 876659 wrt x?\nAnswer: 5120916","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-116)\/3 - 14\/2*498\/(-5229).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 50506, 202165, 454924, 808783, 1263742?\n\"Answer: 50550*k**2 + 9*k - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 + -11. Let h be 6\/(-2) + s\/(-1). Which is bigger: 0 or h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 6*k + 18 = 0. Suppose 0 = 5*u - 2*n - 22, u - 3*u - 2*n + k = 0. Suppose -u*a + 1 = -r + 22, 0 = -a + r - 6. Let f(t) = 2*t + 3. Give f(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1092732ng to grams.\nAnswer: 0.0000000001092732","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of -29\/108*a**4 + 0*a**3 - 75*a**2 + 0*a + 1\/270*a**5 + 0. Factor j(d).\nAnswer: 2*d*(d - 29)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4631?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 21122 (base 4) in base 11?\nAnswer: 4a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -1\/4 (b) 0.2 (c) -10 (d) 164 (e) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -71 + 71 + 20*l**4 + (-l**2 + 0*l**2 + 3*l**2)*(-3*l + 4*l - 2*l)*(-2 - 6 + 2)*(-l + 1 + 6*l - 3*l).\nAnswer: 44*l**4 + 12*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1672, -3416, -5178, -6964, -8780, -10632, -12526, -14468?\n\"Answer: -s**3 - 3*s**2 - 1728*s + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a litre in millilitres?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -109 - -8a?\nAnswer: -3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -0.3, 0.6, -0.21, 1\/4?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 3*k**5\/5 + 7*k**4\/5 - 4*k**2\/5 = 0.\nAnswer: -2, -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -2, -3, 86, 1.67, 2 in descending order.\nAnswer: 86, 6, 2, 1.67, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4930 divided by -17.\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g**2. Let z(x) = 0*x + 5*x - 8*x. Calculate z(o(j)).\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-48)\/18)\/(20\/(-30)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 181039227?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9635, -38568, -86789, -154298, -241095, -347180?\nAnswer: -472553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1505, 1494, 1511, 1580, 1725, 1970?\n\"Answer: 4*s**3 - 10*s**2 - 9*s + 1520","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 5*i - 54 = 0, -6*s - 90 = -s - 3*i. Let m be ((-581)\/(-21))\/((-1)\/s). Suppose -n + m = 2*n. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 5*y**2 - 45*y - 1. Let c be w(-7). Let o = c + -557. What is b in 5\/2*b**o - b + 0 = 0?\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5639*b + 3493*b = -2740*b + 62964 for b.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8138*x - 8154*x - 5*s = -15, -4*x + 15 = 5*s for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of -u**2 + 6*u + 19\/6*u**3 - 8\/15*u**6 - 19\/4*u**4 + 14\/5*u**5 + 0. Factor t(a).\nAnswer: -(a - 2)*(a - 1)*(4*a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of 509*m**4\/24 - 185*m**3\/3 - 618*m**2. Differentiate x(z) wrt z.\nAnswer: 509","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 11859?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-5)*l)**(-32)\/(l**(-2\/7)*l*l*l**13))**(-1\/17) assuming l is positive.\nAnswer: l**(1671\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 706732146 to the power of 1\/6, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 0*p**2 + 291 + 60 + 158 + 395*p - 109 - 5*p**2 = 0.\nAnswer: -1, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -25*s + 79. Let r be (-18 - 4) + 14 - -14. Calculate h(r).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -467 + 466.6. Which is the nearest to 12? (a) v (b) -1 (c) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.024757 - 550.13092.\nAnswer: -550.155677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y**2 + 16*y - 65. Let x(s) = -3*s**2 + 19*s - 66. Determine -5*o(r) + 4*x(r).\nAnswer: -2*r**2 - 4*r + 61","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5103.6656593 take away -182?\nAnswer: 5285.6656593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-24)\/18*9\/(-6). Let k = 32 - 27. Let u(t) = 7 - 15 + 9*t + k. What is u(j)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/3*(3\/(-2))\/1.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -d*k**3 - 474*d*k + 7295*d - 11*k**3 wrt k.\nAnswer: -3*d*k**2 - 474*d - 33*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 1303*x**2. Let v be s(-1). Factor 5*p**2 + 14*p - v - 84*p + 1548.\nAnswer: 5*(p - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40963?\nAnswer: 13, 23, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -4*z - 342. Determine l(-66).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/184960 and -41\/109820.\nAnswer: 3514240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-10))\/((-8)\/(-10)). Let f = -3461.1 - -3461. What is the closest to d in 2\/7, -2, f?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 131 divide 12969?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -20*d**3 - 13*d**2 + 13*d**2 - 2*d**3 + 3*d**3 + d**3 + (-2*d**2 - d**2 + 5*d**2)*(4*d - 2*d - d) + d**3 + 2*d**3 + 2*d**3.\nAnswer: -11*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 5013?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -4*k**4 + 28*k**3 + 108*k**2 + 116*k + 40 = 0?\nAnswer: -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 40 - 31 - 10\/2. Let o(k) = 3*k**2 - 3 + 1 - 5 + 4*k. Let g(z) = z**2 + z - 2. Calculate l*o(h) - 14*g(h).\nAnswer: -2*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-939)\/(-2191))\/(6\/140).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x = -4*x - 468. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 614345.4 nanoseconds in microseconds?\nAnswer: 614.3454","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -114801309, -114801305, -114801301?\nAnswer: -114801297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 16, 32, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 293159?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -111.9 + 109. Let c = -17314 + 17316.89996. Let b = v + c. What is b rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 4*o**2 + 138*o - 3836. What is the units digit of l(71)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -770 + 8a?\nAnswer: -6a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 234551358?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 2 = -h - 4*h, 5*h - 1 = -4*w. Let i be w\/2 + (-2043)\/(-18). Let x = i - 64. List the prime factors of x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(5760) - sqrt(5760))\/sqrt(8).\nAnswer: -24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 154197, -1, 12, 0, -5 in increasing order.\nAnswer: -5, -1, 0, 12, 154197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4 + -2 + -4)\/(-1). Suppose 2*j - g - g = 6, -4*g = -j + 12. Solve -t*i - 6 = -j for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((9\/3)\/2394)\/(32\/(-3424)) and 13\/24.\nAnswer: 3192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -226988\/41 + 5536. Let x = m + 166\/287. Let i = -2\/33 + -29\/66. Sort x, i, -0.3 in descending order.\nAnswer: x, -0.3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 4 - 10 + 5*f - 7 - 4*f. What is y(9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5858*g**5 + 9121*g**3 + 5331*g**2 - 5501*g?\nAnswer: 351480*g**2 + 54726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1514366, 3028731, 4543096?\n\"Answer: 1514365*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -97 or -91?\nAnswer: -91","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 0. Let w be -34*(r + 1\/(-2)). Suppose -96 = -3*l + w. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13.7 + 6.5. Let t = x - -7.1. What is t rounded to 2 dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**0\/o)**(-33))**50 assuming o is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2 + 54966 - 210*j - 56154 - j**2.\nAnswer: -2*(j + 6)*(j + 99)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -63921*d**2*r - 2*d*r - 38*d + 58*r - 1 wrt d.\nAnswer: -127842*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/7)\/((-460)\/322)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -202222202 - -120212?\nAnswer: -202101220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2360536346 to the power of 1\/3, to the nearest integer?\nAnswer: 1331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**30\/g**(6\/7))\/((g\/(g\/(g*g**(9\/2))*g))\/g*g)**41 assuming g is positive.\nAnswer: g**(-2175\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1121303 (base 4) to base 16.\nAnswer: 1673","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 332 + -188. Let v = d - 143.8. Let o = 659\/4 - 166. Put o, v, -4, -2 in descending order.\nAnswer: v, o, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45 is divided by ((-6)\/(-24))\/((-6)\/(-480))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24.9923 - 25. Round r to 3 dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 4015 = 5*b + 3*j, j = 5*b + 4015. Let o = -1593 - b. What is the common denominator of (-4)\/(-10)*o\/32 and 46\/7?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of 2*h + h**3 + 0 + 5\/42*h**7 + 0*h**4 + 0*h**5 + 0*h**2 + 0*h**6. Find the second derivative of s(q) wrt q.\nAnswer: 100*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 PM and 1:09 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 24, -0.2, -1, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 64 + -62. Suppose -3*c = s*c - 20. Suppose 171998 = 2*t + 3*w - 2*w, c*t - 344006 = 3*w. What is t rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -640 - -682. Calculate the highest common divisor of r and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*h = -18*h + 12*h - 783902. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - (6 + -4)) + -35. Let c = 12 + v. Let j = -19 - c. What is the highest common factor of 4 and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 59400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 981633462?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-7) - 399\/(-49)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 276789?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 17 = -72. Suppose v*l = 2*l + 90. Is l\/4*(7 + 67) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -1 + -12 + 40 + -8.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/((m**(3\/5)*m)\/m)*m**5)\/((m\/m**(-1\/4))\/m*m)**14 assuming m is positive.\nAnswer: m**(-121\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 29650567?\nAnswer: -14825283.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 128*f + 130*f + 9 = 0, -43 = 4*n + f for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 52936826?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2\/15, 20, 6?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-700)\/5)\/(2\/15*5). Let v be (-16)\/(-30) + 28\/g. What is the closest to 0 in 0.2, -5, v?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7 (b) 0 (c) -4 (d) -19 (e) 2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 - 3*16\/(-6) - 2. Solve 4*b - 16 = 0, 8 = -0*u - 4*u + q*b for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n**3 + 40*n**2 - n + 25. Calculate j(20).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 32479409803840?\nAnswer: 32479409803842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 125726 (base 8) to base 2.\nAnswer: 1010101111010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000243978 rounded to 5 dps?\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -28\/41 smaller than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1009 <= -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-188)\/(-282))\/((-4)\/6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (18 - 966\/48)*28\/(-175)*10\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r**2 - 3*r. Let x be u(2). Suppose -3*s + 47 = k - 50, 3*k + 61 = x*s. Suppose 2*o - 2*g - s = 0, -4*o + 3*g = 2*g - 73. Is 8 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 46662?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) 18\/7 (b) -1 (c) -15\/17 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/10 of a kilogram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 times -11503?\nAnswer: -2496151","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2059 = -4*g - 2*p - p, -2062 = 4*g + 2*p. Let a = g + 1227. What is a rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 PM and 4:35 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 216.861.\nAnswer: 108.4305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((3 + sqrt(425)*-4)**2*4 + (sqrt(1700) - (sqrt(1700)*2 + 2) - (sqrt(1700) + sqrt(1700)*2 + sqrt(1700))*3)**2).\nAnswer: 40*sqrt(17) + 314540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -28*t - 151. Suppose -13 + 3 = -2*j. Suppose j*f = 252 - 92. Calculate the remainder when f is divided by x(-6).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 77\/2 of a millimeter?\nAnswer: 38500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/56 and -1\/36337?\nAnswer: 290696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21 - 111?\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 + -11. Suppose u*q + 2413 = 4*o, -7*q + 2*q + 3060 = 5*o. Suppose 3*a + 2*m - o = 0, -m = -a - 0*a + 194. List the prime factors of a.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 427229 and 187.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27 - -32. Solve -5*i = -3*w + z, 4 = -4*i + 32*w - 33*w for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 528580387 to the nearest integer?\nAnswer: 809","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 56*g. Let k(f) = -f**2 - 3*f + 585. What is v(k(n))?\nAnswer: -56*n**2 - 168*n + 32760","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 12*v**2 - 6. Let s(k) = -k**2 - 1. What is -6*s(j) + x(j)?\nAnswer: 18*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l**2 - 10*l + 10. Calculate the remainder when 27 is divided by w(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**3 - 11407762*s**2 - 16267123527198*s + 16267134934962 = 0. Calculate s.\nAnswer: -2851941, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 - 95*v**2 + 319*v - 1358. Determine m(92).\nAnswer: 2598","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 - 7*g**2 - g - 70. Let z be f(8). Let x be 1\/z - (-673)\/14. What is the greatest common factor of 168 and x?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*44.\nAnswer: 4.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 333, 2, 3, 1\/3, 0.3 in increasing order.\nAnswer: 0.3, 1\/3, 2, 3, 333","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 111 + -189. What is the common denominator of a\/396*45\/3 and -3 + ((-214)\/4)\/((-1)\/1)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1624 and 1?\nAnswer: 1624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of 0*r + 35*r**2 + 0 + 5\/3*r**4 - 13*r**3. What is the hundreds digit of o(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7536 divided by 6\nAnswer: 1256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 5 + 0 + -6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 41486, 41472, 41472, 41492, 41538, 41616, 41732, 41892?\n\"Answer: g**3 + g**2 - 24*g + 41508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -341*u**5 - u**4 + 42801*u**3 + 3*u**2 + 3379*u - 283 wrt u?\nAnswer: -20460*u**2 - 24*u + 256806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-22)\/5 - 1\/((-3)\/15). Let g = -2 + 4. Is g less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9504 and 5747544?\nAnswer: 22990176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4139, 4274, 4639, 5348, 6515, 8254, 10679, 13904?\nAnswer: 18043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 87*t - 136 - 17. Solve 14*h**5 + 0 + 64\/7*h**3 - 8\/7*h**t + 0*h - 22*h**4 = 0.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w + 18. Let q be z(-12). Let d(x) be the third derivative of x**5\/60 + x**4\/4 - 66*x**2. What is d(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -8640*i - 146859. Give h(-17).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17*a**2*h**6 + a**2*h**2 - 2*a**2*h + 424*a*h**6 - 199*a*h**2 - 5*a wrt h.\nAnswer: -2040*a**2*h**3 + 50880*a*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 290360 = 4*i, 2*i + 2*i - 2*q = 290368. Let w = i + -102994. Round w to the nearest one thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = -6*j + 11*j - 3*y, 0 = -j - y for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/10*(-20)\/(-6). Suppose 9 = z*l + 1. Determine g so that -1\/2 + 1\/2*g**l + 0*g = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 309 + -309. Solve -2*t - 9 = 5*l + 26, 2*t + 3*l + 25 = q for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-119)\/(-6) - (-334 + -8)\/(-19)\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 7:24 AM?\nAnswer: 12:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.8 in -0.3, 2\/13, 0.4, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -30091, -30073, -30027, -29941, -29803?\n\"Answer: 2*q**3 + 2*q**2 - 2*q - 30093","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(4)*2)\/sqrt(2) + 3*(sqrt(2) - (sqrt(2) + 1 - sqrt(2)))*1)**2.\nAnswer: 30*sqrt(2) + 59","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + 10266846?\nAnswer: 10266845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -57 in -0.1, 10, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 93*r**3*s**5 + 2*r**3*s**2 - 3*r**3*s + 7*r**3 - 3*s wrt s?\nAnswer: 1860*r**3*s**3 + 4*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 1?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6304700 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -32, 17, -1 in increasing order.\nAnswer: -32, -1, 2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 - 46*q**2 + 4*q - 188. Let o be s(46). Let n = -0.3 + 0.8. Which is the closest to 3? (a) 0 (b) o (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 3*o + 36. Give c(5).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -148*z - 80933393 + 80933393.\nAnswer: -148*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -77*q - 3173. Give f(-41).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-9 + 57\/6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (25 + -100)\/(-675) + 326\/(-18)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 3\/392 - -585\/392. Which is the nearest to -1? (a) -3\/8 (b) -5 (c) j (d) 76\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (96\/9)\/8*3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 + 4 - -10) + 16 + 9.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 44803946*b**4 + 5275880*b + 2 wrt b?\nAnswer: 537647352*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 580200368?\nAnswer: 2, 11, 3296593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -21*k + 56. Let w(i) be the second derivative of -i**3\/3 + 5*i**2\/2 + 5*i. Let r = -172 - -228. Calculate r*w(s) - 5*p(s).\nAnswer: -7*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11558?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((2 + sqrt(684))*2 + (sqrt(684)*2 + sqrt(684))*1) + 5*-1*(((4 + sqrt(684) - sqrt(684) - sqrt(684)) + sqrt(684) - sqrt(684)) + 4))**2.\nAnswer: -5760*sqrt(19) + 154924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -17298, -0.3, 0.1, 4 in increasing order.\nAnswer: -17298, -0.3, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 22a + -13a52?\nAnswer: -13823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6 + 44962?\nAnswer: 44968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 2*l = 3, 5*v - 5*l = -3*l + 33. Suppose 0 = -5*q - w + v, 33 = q + 3*q - 5*w. Are q and 2 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 1118*m**3 - 1014*m + 4. Let j(x) = 1116*x**3 - 1013*x + 3. Let d(g) = 4*j(g) - 3*n(g). Find the second derivative of d(p) wrt p.\nAnswer: 6660*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 + 304*b**2 + 5006*b**2 - 15.\nAnswer: 5310*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 5 - 2 + (-4 + 2 + 1)*(3 + 3 - 7) - 3 + 3 + 2 + 104 - 50 - 50)*(2*t + 1 + 4*t + 0*t) to the form s*t + g and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q + 85. Let a be r(-11). Calculate the highest common divisor of 312 and a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -543 (base 6) in base 2?\nAnswer: -11001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zpzmzzpme. What is prob of sequence ze?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29830995*r + 14915521*r + 14915478*r.\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1975 and 2950?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/((-10692)\/88))\/(-1).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nxkxnnknxxxx. What is prob of sequence knk?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -363*c + 378*c - 261*c + 4*c**3 - 5*c**3 as y*c**2 + m*c + f + k*c**3 and give m.\nAnswer: -246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*g**3 + 5*g**3 + 0*g**3 + 2 - 4*g**3 - 2 - 3*g**3 - g**3 + 2*g**3 + 0*g**3 + 0*g**3 + 2*g**3 + (0*g - g + 2*g)*(g**2 + g**2 - g**2).\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -5*r - 8. Let i(m) be the second derivative of 7*m**3\/3 + 23*m**2\/2 + 1639*m. Let u be 4*(-1)\/(8\/(-34)). What is u*k(p) + 6*i(p)?\nAnswer: -p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 794\nAnswer: -2\/397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31 - -27. Let u(x) = 6*x**4 + 5*x**3 - 7*x**2 - x. Let k(p) = 7*p**4 + 5*p**3 - 8*p**2. Let q(g) = j*u(g) + 3*k(g). Find n such that q(n) = 0.\nAnswer: -2, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3174 + 3178. Solve -5*a + 11 + 4 = 0, -2*m - w*a + 2 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 1149160 = -4*g, 287287 = 3*g - 2*g + 4*m. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5407\/16248 - -3\/5416. Put 0.09, -5\/6, p, -2, -0.06 in descending order.\nAnswer: p, 0.09, -0.06, -5\/6, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 405836864 and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1909 and 1656.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 - 2. Suppose 3*i = -12 + 18. Let v(n) = -1 + i + 1. Give 2*t(l) + 3*v(l).\nAnswer: -2*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p - 6. Suppose 5*d = -3*u - 15, -4*u = -2*d - 1 - 31. Calculate g(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of k**4\/4 + 2*k**3 + 5*k**2\/2 + 2*k - 10. Let h be p(-5). Solve 2*s = -4*g + 6, g + 3*g = h*s - 14 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 39*s - 187. Determine g(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 26218, 52418, 78620, 104824, 131030, 157238?\n\"Answer: a**2 + 26197*a + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8059 - 5392. Suppose 2*f = 259 + z. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -54*t - 354. Determine j(-9).\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**2)\/w**4)**(-7\/3))**(-3\/26) assuming w is positive.\nAnswer: w**(-7\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 27*k**2 - 12*k - 28. Let s be v(-3). Let o = s + -198. Is o > 52?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 + 2*v + 0*v**2 + 3*v + 3*v - 1. Let n be p(-7). Let z(l) = -l**3 - 7*l**2 + 6*l + 4. Calculate the remainder when 38 is divided by z(n).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -4*z + 2. Calculate l(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 - u + 2. What is the units digit of b(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 213131322 (base 5) to base 10\nAnswer: 911462","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 42376066 to the power of 1\/2, to the nearest integer?\nAnswer: 6510","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -124 + 94. Let k be 20\/a*(-1 - 5\/(-8)). Factor 1\/4*m**2 + k*m + 0.\nAnswer: m*(m + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00033 to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 336 + -366. What is the tens digit of 6 + (-531)\/90 - 9627\/k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1653)\/319 + 5)\/(2\/(-11)). Is -53\/138 at least as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 728238*b - 24. Let n be h(5). Let p = -5611166 + n. What is p rounded to the nearest 100000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 3420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24837 and 510.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 10408, 20812, 31224, 41644, 52072, 62508, 72952?\n\"Answer: 4*q**2 + 10392*q + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 242270870?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -210222022110 (base 3) in base 7?\nAnswer: -3451002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3164.22 nanometers?\nAnswer: 0.00316422","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 16 + 20. Suppose 0 = 6*s + b - 48. Suppose s + 30 = 5*v. Let u(f) = f - 13. Calculate u(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -2\/7, 8, -9, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*d**2*y + 3*d**2 - 4532794*d*y + 2*d - 409171617*y wrt d?\nAnswer: 4*d*y + 6*d - 4532794*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 52 and 1027.\nAnswer: 4108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -386383.469 to the nearest 10000.\nAnswer: -390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 2*h = 32, 0 = -r + 15972*h - 15975*h - 38 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3153 - 2787 = -12*f. List the prime factors of f.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19135, 18855, 18423, 17845, 17127?\nAnswer: 16275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-66)\/(-44))\/(2\/4). Suppose m = -0 + k. Suppose 2*r - 2*h = 92, 4*h + 88 = 2*r + m*h. Does 11 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x**3 - x**2 + 2*x + 2. Let d be -5*1 + 8 + -6. Let q be 12\/5 - d\/5. Is f(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 543788507?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 + 19*y**2 + 21*y - 18. Let u be w(20). Suppose -g - u*g = 0. Suppose g = -l - 2*h + 2, -3*h - h + 22 = 5*l. Solve -3*b + 6 = -l for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - -7a?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 176436?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 412 + -11445?\nAnswer: -11033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*a*d + 2*a*t**2 + a*t + 2*a + 65*d*t**3 + 222*d*t - 54*d - 2056 wrt t.\nAnswer: 4*a*t + a + 195*d*t**2 + 222*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 5)\/((-4)\/(-14)*(-30135)\/41328*-1)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -4. Let b(o) = 13*o**3 + 19*o**2 + 35*o - 7. Let i(r) = 3*r**3 + 5*r**2 + 8*r - 2. Let y(p) = -2*b(p) + 9*i(p). Is y(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-72)\/27 + (-69)\/(-9). Solve -i*d = -c - 5, c - 4*d + d = -5 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 177 (base 12) in base 15?\nAnswer: 10a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m. Let c be y(-2). Suppose 0 = -5*z - 3*w + 50, -5*z + z = 3*w - 40. Suppose -4*r - c*k = 2 - z, 3*r = k + 6. Solve p + p = -r for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4535*l - 4535*l - 2*l**2.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3243 a factor of 79080555?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 <= 0.27228?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -354*16.\nAnswer: -5664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -313, -335, -357, -379, -401?\nAnswer: -423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1806 = 4*l - 3*u, 0*l - l - 2*u = -446. List the prime factors of l.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/12)\/((-380)\/160).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2))**(19\/2)*(r**(-2)\/r)\/(r**(-2)*r))**(-13) assuming r is positive.\nAnswer: r**273","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.7 + 2.2. Let h = -6.5 - m. Let t = 527\/2 + -265. What is the closest to h in -3, t, -0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 5. Let o be f*(-2 - (2 - 2)). Suppose 6*b = o*b + 8. Solve -2*h + 2 = 2*k, -b*h + 0*h - 22 = -4*k for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fxhafxfrxxxax. What is prob of picking 1 h and 1 r?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -7*a**2 + 4*a - 108. Let b(r) = -13*r**2 + 7*r - 216. Calculate -6*b(k) + 11*c(k).\nAnswer: k**2 + 2*k + 108","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2*t + t**2 + 1 + t - 6. Let i(d) = -d**2 - 44*d - 340. Let r be i(-34). Calculate y(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - k = -519 + 521, -5*f + 8*k = -16 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 58 - -8. Let l be 12\/w + 31\/11. Suppose 15 - 3 = l*a. Is a even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2\/3, -3\/7, 3\/4, 0.3, -85.\nAnswer: -85, -3\/7, 0.3, 2\/3, 3\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -36 - -54. Suppose -3*g + 0*g = 5*o - w, 4*g + 2*o - 10 = 0. Is g equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6206759 to the power of 1\/3, to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -6. Suppose 0 = 4*p - 9*p. Suppose p = 2*g, -i - 1 = -0*g - 3*g. Which is the nearest to i? (a) x (b) 0.4 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of z**6\/90 + z**5\/10 + z**4\/4 - 2*z**3\/9 - 2*z**2 - 17*z - 4. Factor o(k).\nAnswer: (k - 1)*(k + 2)**2*(k + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3196*k - 3193*k = -2*v - 13, 0 = -2*v + 4*k + 8 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 207 and 169\/(-1690) - 244\/(-40).\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/((3\/(-21))\/1). Suppose -3*s = 3*h - 8*h + 88, -3*s = -2*h + y. Calculate the remainder when h is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3519 is divided by 283?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.5 + -2. Let h = 5.5 - o. Which is the third smallest value? (a) -1\/2 (b) h (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8.78 and -1.4?\nAnswer: 12.292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 370279258.\nAnswer: 2, 19, 211, 46181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00053952 rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 22*t**3 + t**2 + 3*t + 8. Give z(-2).\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 1 + 13. What is the highest common factor of f and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 4*m = -10. Suppose 3*r + r = m*s - 232, 135 = 3*s - r. Does 15 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72493 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + 183?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*c - 14 = -40*c. Let v be 66\/18*((-25)\/(-14) - c). Is v <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -161, -153, -107, 1, 195?\nAnswer: 499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*p**3 + 8*p**3 + 0*p**3.\nAnswer: 35*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -11, -0.4, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.990373 kilograms in milligrams?\nAnswer: 9990373","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -15*a**2 - 1746*a - 2716. What is n(-115)?\nAnswer: -301","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of -i**6\/120 + i**5\/4 - 7*i**4\/12 + 5*i**3\/6 - 5*i**2. Let r be v(14). Solve 0 = -3*t - 3*m + 3, 4*m + m = -4*t + r for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -102*t + 19 - 16 + 35*t. Let y(j) = 1276*j - 58. Let w(p) = -58*v(p) - 3*y(p). Let s(n) = -5*n**2. Determine s(w(x)).\nAnswer: -16820*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 40 = 5*j, -j + 4*j - 45 = -4*w. Let i be (176\/(-10))\/(j\/(-39000005)). Let x be 2 + (-8)\/3 - i\/(-12). Round x to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o**2 - 74*o + 39. What is t(38)?\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -13*j - 4. Let q(b) = 7*b + 2. Let x(o) = 11*q(o) + 6*r(o). Suppose -14 = 2*s + 4*w, 0 = -0*w - 2*w - 10. Let u(f) = -2. What is s*u(i) - 2*x(i)?\nAnswer: 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -3*q. Let t(m) be the first derivative of -766*m**2 - 4519. Give x(t(y)).\nAnswer: 4596*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*3 + 10\/(-10). Find the third derivative of 3*l**r - 2*l**3 + l**3 + 0*l**2 wrt l.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 8*t - 123. Determine u(9).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 8. What is the least common multiple of (4\/(-3))\/((-4)\/18) and ((-33)\/(-12))\/((-2)\/w)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -402 (base 6) to base 5.\nAnswer: -1041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/7, -2\/9, -0.12, 1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -44*y**2 - 4*y - 1. Give m(-1).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 5*a + 243 = 0, 2*a + 126 = g - 9. What is the smallest common multiple of g and 6?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 - 21*q + 80. Let x be i(6). Let v(u) = -4*u - 36. Let g be v(x). Solve -11 = -2*y - g*m + m, -m + 11 = -3*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -0*w. Suppose x + 0*x - 4 = w. Solve -5*m + x = -6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/6 - 33773*n\/6 - 1751021.\nAnswer: -(n + 314)*(n + 33459)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4 - 1496)*(-1076)\/(-3). Round h to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 2 - 3 = -2*c, -4*c = 3*r - 19 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h + h + 4*h + (1 - 1 + 1)*(2*h + 0*h - 5*h) - 2 + 2*h + 2)*(2 - 2 + 3)*(-703 + 703 + 87*h**2).\nAnswer: 261*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - (12 + -10 + (7 - -1))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 AM and 3:23 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22340108845\/42 + -531877859. Let v = -29492 + a. Let x = v + -1807\/420. What is the common denominator of -73\/4 and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of v**4\/12 + v**3\/3 - 49*v**2 - 2. Let i(z) = z**2 - 11*z - 11. Calculate 11*b(t) + 2*i(t).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u - 23*u - u + 29*u.\nAnswer: 9*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5313\/34 + 2725823\/17374. Let x = p - 4\/73. Factor 2\/7 + 0*r**2 - 2\/7*r**4 - 4\/7*r**3 + x*r.\nAnswer: -2*(r - 1)*(r + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4239314041?\nAnswer: 1237, 3427093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of -o**4\/24 - 7*o**3\/6 - 63*o**2. Let f(i) = -4*i - 28. Determine 2*f(z) - 9*s(z).\nAnswer: z + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 12:32 PM?\nAnswer: 7:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-3)\/(29 - 2))\/(9\/168) and 9.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 37293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.007 (b) 2.1 (c) 1\/2 (d) -5\/11 (e) 2\/11 (f) -5 (g) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/9786 and 61\/84?\nAnswer: 19572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 30*j**3 + 121*j**2*w - 3*w + 1501 wrt j.\nAnswer: 90*j**2 + 242*j*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -77 - (0 - (65 - (49 - 3)))?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 4*h - 16 = -0*t, 2*t - 4*h = 16. Solve 0 = o - 3*b, -5*b + 0 + 5 = t for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1*(-3 + 1) - -78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 988002 is divided by 1257.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/6 (b) 0.8 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 83358 = -5*y, -13*u + 11*u + 166731 = 5*y. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.31014 rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1956 and 226608.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a centimeter in micrometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 1 + 6*i**2 - 2*i**2 - i**2 + 0*i**3 - i**3 + i. Let k = -6 - -9. What is d(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from yywywywwww?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 24845*f - 13788975. Determine k(555).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -662 - 324 = -5*q + 4*b, q = -4*b + 202. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 5:03 PM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -a036bd (base 14) in base 8?\nAnswer: -24433047","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-3 + sqrt(833)*1 + 2)**2*-2.\nAnswer: -6672 + 112*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 6*z - 2167. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110525 (base 6) to base 8.\nAnswer: 22065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14*w**4 - 108*w**3 - 6517*w**2 - 2*w wrt w?\nAnswer: -336*w - 648","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2 - 2*x**3 + 5 - 6861*x + 6864*x - 22*x**2. Let p(f) = 4*f**3 + 43*f**2 - 5*f - 5. Determine 3*p(d) + 5*v(d).\nAnswer: 2*d**3 + 19*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.2, 3\/4 in decreasing order.\nAnswer: 3, 3\/4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 10 + (-20 - (-9 + -5)) + -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 2*m + 51. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -10658*h**5\/3 - 48107*h**4\/6 - 12839*h**3\/3 + 2243*h**2\/2 + 774*h - 162 = 0.\nAnswer: -1, -3\/4, 18\/73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(294))\/(sqrt(192)\/sqrt(4) + sqrt(48))*-6.\nAnswer: -21*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -102000 - -120313130?\nAnswer: 120211130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 1986 divide 8134821?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 952600 and 52800?\nAnswer: 22862400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2693, 2, 0.0794 in decreasing order.\nAnswer: 2693, 2, 0.0794","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8 or -0.0155?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-4)*(-7 + 7). Is 28 a factor of 2\/(-5) + b - 121555\/(-575)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -3 + 616825\/(-1 + 26)?\nAnswer: 2, 5, 2467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -295 - -319. Let m be (-1)\/(-2) + (-14)\/(-4). Suppose m*k + 0*k - p = 0. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 5*c. Let g(d) = -5*d**2 - 5*d. Let o(n) = 8*n**2 + 7*n. Let l(s) = -7*g(s) - 5*o(s). Calculate l(b(u)).\nAnswer: -125*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/(1 + (-10)\/6). Let b be 3\/d + (-146)\/16. Let r = 9 + b. Sort r, 3, -0.2 in ascending order.\nAnswer: -0.2, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 - 4*g. Let p be v(-5). Suppose -y + 11 = -j, 6*j - 2*j = 5*y - 48. Let q = j + 12. What is the second smallest value in 4, q, p?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-50)\/(-100))\/(1\/8146). What is the units digit of (-150)\/250 - t\/(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*f - 1210 = 10*f - 0*f for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5241?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 879550 a multiple of 269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1654157\/4 - (-25)\/(-1700)*17 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/748900 and -35\/32.\nAnswer: 5991200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of c**4 + 0*c**2 + 3*c**2 - 7*c**2 - 3 + 2*c**2. Find the second derivative of v(t) wrt t.\nAnswer: 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(1\/32))**(-1\/29))**(1\/5))**(-1\/6) assuming n is positive.\nAnswer: n**(1\/27840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/4 (b) -2\/9 (c) -9 (d) -0.5 (e) -7.5 (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 + 48 + -4 + 18?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z - 10604 = 17396. List the prime factors of z.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7.7 + -7.4. Which is the third biggest value? (a) 0 (b) -5 (c) q (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11913843?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 - 7*d - 4*d - 18*d - 11*d**2 + 6 - d**3 + 35*d as y*d**3 + a*d**2 + t*d + q and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 22\/225 and -6\/275.\nAnswer: 2475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wu when two letters picked without replacement from {u: 3, d: 4, k: 2, w: 8}.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3326*m**4 + 623*m**3 - 649*m**2 + 2*m - 2247 wrt m?\nAnswer: 79824*m + 3738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f. Let z(x) = 2*x**2 - 10*x. Let w(u) = -u**2 + 9*u - 15. Let o be w(7). Let a(q) = o*z(q) + 2*p(q). Find the second derivative of a(t) wrt t.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -115*l + 939. Give r(8).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 70 + -212\/3. Let x = -32 - -31.9. Let s = -7 + 6. Which is the nearest to x? (a) o (b) s (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 (base 14) in base 15?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n + 9. Suppose 2*a + 2*z - 10 = -2*z, -2*z = 2*a. Let h(t) = t + 4. Determine a*h(j) + 2*l(j).\nAnswer: -j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51865056.\nAnswer: 2, 3, 60029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 7*r**2 + 1. Let l(f) = -30*f**2 - 16. Let j(t) = 4*t**2 + 2. Let a(d) = 40*j(d) + 5*l(d). Give a(b(u)).\nAnswer: 490*u**4 + 140*u**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, -256, -547, -842, -1141?\nAnswer: -1444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-84)\/196 + 423*39\/28. Let f = 588 - l. Which is the closest to -1? (a) 0 (b) -0.2 (c) f (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 - 46*l**2 - 91*l - 121. Let f be z(48). Which is bigger: f or 19?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.083 - -0.983. Let z = -5171\/46 - -225\/2. What is the second smallest value in k, z, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 202 - 106. Calculate the highest common divisor of 24 and z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 610458 to the nearest integer?\nAnswer: 781","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - 60*p**2 - 114*p - 591. What is j(62)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - -5 - -3) + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 250, 319, 388, 457?\n\"Answer: 69*c + 181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of 8*g + 3\/2*g**3 + 0 - 7*g**2. Let d be o(7). Calculate the greatest common factor of 7 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001375 rounded to 5 dps?\nAnswer: 0.00138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -743639*i**4 + 412321*i wrt i?\nAnswer: -8923668*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -4*w + 4840. What is the third derivative of -w + 5*c**6 - 16*c**2 + 968 wrt c?\nAnswer: 600*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4141, 8792, 13953, 19618, 25781, 32436, 39577?\nAnswer: 47198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**4 - 50*v**3 - 178*v**2 - 214*v - 84 = 0. What is v?\nAnswer: -21, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -140 (base 6) to base 12.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.5? (a) -3 (b) 0.10334 (c) -2\/15 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-20)\/(-25)*(-5)\/(-14). Which is the third smallest value? (a) -1 (b) -1\/6 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.07*-1.3\nAnswer: -0.091","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*o + 90*o**2 - 22*o**2 + 3 - 66*o**2 + 2*o**2 + 2 - 2 + (2*o + o - o)*(2*o + 2*o - 2*o) to u*o**2 + q + c*o and give c.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of x**4\/12 - 7*x**3\/6 - x**2\/2 - 2*x - 7. Determine p(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6497 is divided by 161.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5.12 + -0.12. Let d = -9646.3 - -9646. What is the third smallest value in b, -1, 1, d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 456?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -467635531 + -1202?\nAnswer: -467636733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/6 + 4298*f - 25789\/6.\nAnswer: (f - 1)*(f + 25789)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 + 3*u - 2. Let r be v(1). Suppose 3*a - 4*p - 20 - 12 = 0, r = 3*p + 6. Find the first derivative of a*d - 2*d - 14 + 21 wrt d.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 445 is divided by 35?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -2*v**2\/3 + 9568772*v - 34335524095494 = 0.\nAnswer: 7176579","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.37 + 9.22. Round f to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 3*y - 25 = 0. Let o(r) = -4*r + 5. Let k(n) = n - 1. Let j(u) = -9*k(u) - 2*o(u). Let f(s) = 0*s - 2*s - 5 - 4*s. Determine y*j(d) - f(d).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2548?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - o - 3 = 0, -o + 2 = 1. Let y(k) = 3 + 2*k - k**2 - 3 + h. Let r be y(0). Is 1 at least as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d - 6*d - d + d - 4*d + d + d - 2*d + 2*d - 2*d + 2*d - d - 2*d + d + 3*d + (2 + 1 - 1)*(3*d + 0*d - 5*d))*(-10*d**2 + 143 - 143).\nAnswer: 70*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1024 + -11?\nAnswer: -1040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(54\/4 + 0). Let k be ((-2)\/4)\/(2\/(-2)). Let j = -6 - -8. What is the third biggest value in n, j, k?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1975?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 + 8*p + 11. Let q be h(14). Let v = -217\/3 - q. Sort v, -0.1, 3 in increasing order.\nAnswer: -0.1, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101111001 - -1110000011100?\nAnswer: 1100010100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*v**2\/3 + 100*v + 396.\nAnswer: 4*(v + 33)*(2*v + 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**4\/5 - 136*j**3\/5 - 13406*j**2\/5 - 61196*j\/5 + 177072\/5 = 0. What is j?\nAnswer: -51, -7, 2, 124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4202321.\nAnswer: 4202321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 903*x - 2093*x = -903*x - 10332 for x.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 7*138*((-56)\/(-8))\/(-49)*1\/(-27)\nAnswer: 46\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 75 divided by 276?\nAnswer: 25\/92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4*(-4)\/16 - -13. Suppose 2*t - k = 4. Suppose 0 = -c + t*c - 12*c. Solve 2*n + 9 = -3*f, c = -n + 6*n - 4*f - 35 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a + 12. Let h(j) = 15*j - 77. Determine -h(w) - 4*k(w).\nAnswer: -11*w + 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of t**4\/12 + t**3\/6 - t**2\/2 + 2*t. Let l = 23 + -24. Let p(u) = -2*u**2 - 2*u - 1. Let v(b) = l*p(b) - 5*m(b). Factor v(r).\nAnswer: -3*(r - 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 3*a**2 + 3*a. Let l be w(-2). Suppose 0 = -l*i - 29 + 83. Suppose 4*r = -p + i, r - 26 = -3*p - 2*p. Solve p*d = -3*m, 4*m + 12 = -d + m for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(2\/(-12)) - 3. Suppose c*z = 2*z + 2. Let q(v) = -6*v + 2*v - z*v + 2*v. Let t(j) = -j**2. What is q(t(p))?\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 756 - 566 = 19*s. Solve 2*y + w - 5 = 0, -y - 4*y + 5*w - s = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 56200?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0159049416 rounded to four decimal places?\nAnswer: 0.0159","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*h, s - 16 = -2*h - 7. Suppose 0 = 4*d + d - s. Let j be 1*(-1 + 2) + d. Which is the third smallest value? (a) j (b) 4\/3 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -0.2 (c) 69 (d) -0.3 (e) -2\/3 (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -56\/27 and -47\/1485?\nAnswer: 1485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 16) to base 13.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) 613 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 AM and 6:10 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 - 11. Suppose -4*a = -a - 27. Let h = x + a. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(2 + 20\/(-8)). Put 5, 8, c in ascending order.\nAnswer: c, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/126244 and 49\/1262440?\nAnswer: 1262440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k - 10*k = 16. Let g = -11 - k. Suppose -2*m - 3*q + 52 = 0, -g*m + 23 + 89 = 3*q. Is 20 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38322 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*q + 0*q + 0*q + (-1 + 3 + 0)*(-2*q + 0*q + 0*q) + 0*q + 3*q + 0*q)*(-4*q + q + 2*q) as v + j*q**2 + z*q and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.7845926 and 54.\nAnswer: -42.3680004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -80*b - 189. Calculate the remainder when n(-3) is divided by 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/9572336 and 17\/16.\nAnswer: 9572336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 11 = -4*j. Let l(h) be the third derivative of h**4\/3 - h**3\/3 - 2026*h**2. Give l(j).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 5*g + 12112 = 0. Let t = g - -121209\/20. Calculate the common denominator of t and 43\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) 2\/29 (c) 15.18 (d) 7 (e) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in five quarters of a kilogram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2121\/5 (b) -1\/5 (c) 1 (d) 1\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 3*g**3 - g**2 + 1. Let k be x(-1). Suppose f + 16 = 41. Calculate the remainder when f is divided by (k + -4)\/(3\/(-3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - ((-1 - (-13 + 5)) + 1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 21041480?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m**2 - 15*m - 23. Let r be x(9). Which is bigger: r or -10?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 61*l**4 - 627 + 621 - 22*l**2 - 3*l**3 - 213*l**4 wrt l?\nAnswer: -3648*l - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 294515?\nAnswer: 5, 13, 23, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2*11\/132*-70*(-18)\/42\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 48\/103?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 609*s + 89*s = 22*s - 21632 for s.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7402?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 648, 645, 642, 639, 636?\nAnswer: 633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 119299117?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -228 - -255. Let z be (b\/6)\/(-4 - -1). Let l(n) = n**2 + 7*n + 4. Let c be l(-6). What is the biggest value in c, z, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 8*h + 15. Let m(z) = -3*z - 5. Give 11*m(b) + 4*o(b).\nAnswer: -b + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q - 41. Give l(0).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - -6. Let x = -0.0164 - -0.2164. Which is the fourth smallest value? (a) 0.3 (b) x (c) f (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3612 = -10*z + 2758. What is the hundreds digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3480 by 29.\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3123113 + 122133?\nAnswer: -3000320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (-11 - 1 - -19)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of t**5\/60 - t**4\/24 + 5*t**3\/6 + 9*t**2. What is the tens digit of c(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -24 less than 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 12 = -7, 0 = d + j - 5552. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 234818750?\nAnswer: 2, 5, 37571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 195.82957 + -208.9302. Let z = q - -13.1. What is z rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 356 + -373. Is 11 a factor of b\/34 + 838\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8376*q = 8374*q + 4*z + 12, 5*q + 3*z + 35 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 - 2*x**2 + x - 3. Calculate h(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5)\/(-2)*(-32)\/(-40). Suppose c = -4*c + b*z + 504, -5*c = -z - 502. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j. Let w = -82 - -84. Let a(y) = -2*y + 2*y + 276*y**w - 285*y**2. What is b(a(x))?\nAnswer: -18*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 408779798.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 834 is divided by 263?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h + 1143 = -3105. Let g = 197 - h. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(4\/3 - ((-44)\/33)\/(-2)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 42 - 27. Let q be 2\/(-8)*(-9 + 9). Suppose q*s = -s + a. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -322*s + 380*s = -754 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/675 and -1\/132246?\nAnswer: 3306150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 2*s - 28, 4*j - 20 = 2*j + 3*s. Suppose j*p - 2*w = 2*w, 5*p + w = 24. Put p, -4, -8 in increasing order.\nAnswer: -8, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16559 is divided by 7816.\nAnswer: 927","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 388 + -346. Let s = 60 - q. Calculate the least common multiple of s and 192.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2004775475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 AM and 1:44 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29 + -24. Suppose 4*r = s*f - 414, 0*r + 16 = 4*r. List the prime factors of f.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (2 - (-5 - -4)) + -7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139 = -2*s - 11. Suppose 7*h - s = 3*h. Is 8 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.2, -655728, 3, 0.3 in ascending order.\nAnswer: -655728, -0.2, 0.3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 225*y**3 + 13112*y + 4*y**2 - 244*y**3 - 13113*y.\nAnswer: -19*y**3 + 4*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/10*((-15)\/4)\/((-726)\/(-352)).\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 176*d**2 - 7*d - 8. Let r be w(-7). Suppose -5*v + r = -540. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 209612*v**2 + 1176*v**3 - 104808*v**2 - 104806*v**2 + 4272*v wrt v.\nAnswer: 7056*v - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o**2 + 24271*o + 4854 = 0. Calculate o.\nAnswer: -4854, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 20 = 4*p, -2*p = 3*d - 7*p - 55. Let c be (-2)\/3 - (-18)\/27. Suppose c = 3*o - d - 65. Calculate the remainder when o is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4 - (6 - 2))\/1. What is the derivative of 2*o**4 + 2*o**4 + k + 6*o**4 + 10 wrt o?\nAnswer: 40*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (7\/(21\/6))\/(8\/16). Let s(o) be the first derivative of o**3\/3 - 2*o**2 - 19*o + 14. Let r be s(7). Solve n*i = c + 21, 5*i = 6*i - r*c - 7 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 + c**2. Let z(p) = -6*p**3 + 17*p**2 + 16*p - 11. Let j(h) = -5*m(h) + z(h). List the prime factors of j(13).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + (-301)\/315)\/(590\/15 + -40).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = w - 2, -l - 5*w - 9 - 8 = 0. Let i(d) = -5*d**2 + 4*d + 2 + 1 - 8 + d**3 + 11 - 9. Calculate i(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1837, -6690, -14771, -26080, -40617, -58382, -79375?\n\"Answer: -1614*y**2 - 11*y - 212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -16, -34, -62, -100, -148, -206, -274?\n\"Answer: -5*c**2 - 3*c - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -1 + 1 + j**2. Let q(k) = 7*k + 16. Let z(w) = -264*w - 616. Let r(m) = 154*q(m) + 4*z(m). What is d(r(b))?\nAnswer: 484*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 11036 (base 10) in base 7?\nAnswer: 44114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1081 or 1113?\nAnswer: 1081","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 3*l = -0*l - 196, 0 = -4*l + 8. Is 19 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -158\/3 + 264\/5. Let g(n) be the first derivative of -v*n**3 + 1\/5*n**2 - 2 + 0*n. Solve g(s) = 0 for s.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 3*h**2 + 21*h. Let s = 19 + -19. Let o be -61*(1 + s) + -11 + 9. Let l(v) = -v. Let b(x) = o*l(x) - 3*k(x). Let d(g) = -3*g**2. Determine d(b(u)).\nAnswer: -243*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, 8528, 3, 11, -6 in ascending order.\nAnswer: -6, -5, 0, 3, 11, 8528","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15626*p**3 - 4 - 15588*p**3 + 3)*(7 + 1 - 1).\nAnswer: 266*p**3 - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 244*v**2 + 248*v**2 - 1366*v**2 + 240*v**2 + 242*v**2 + 395*v**2.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -3*u - 5*a, 3*u - 2*u = 3*a + 18 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34769 is divided by 109?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 521942006.\nAnswer: 2, 260971003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**(3\/13)\/j))\/(j\/(j\/((j\/(j\/(j**(-12)*j*j)*j))\/j*j))) assuming j is positive.\nAnswer: j**(166\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*a**3 + 26*a**2 - 50*a**2 - 13*a**3 - 34*a**2 - 22*a**3.\nAnswer: -15*a**3 - 58*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1908 and 2982942?\nAnswer: 316191852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30489164.\nAnswer: 2, 7622291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -368*o**3 - 1128*o**2 - 528*o + 204. Let q(r) = -67*r**3 - 205*r**2 - 96*r + 37. Let i(p) = -28*q(p) + 5*s(p). Let i(y) = 0. Calculate y.\nAnswer: -2, -1, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -662*q**3 - 1323*q**2 - 8*q. Let c(u) = -1989*u**3 - 3970*u**2 - 22*u. Let k(w) = 4*c(w) - 11*j(w). Find the third derivative of k(s) wrt s.\nAnswer: -4044","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*k**5\/7 + 4176*k**4\/7 + 44132*k**3\/7 + 32728*k**2\/7 - 67920*k\/7 + 20000\/7 = 0. What is k?\nAnswer: -250, -10, -2, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 5 - 4)*((3 - 1 - 1)*(-4 + 3 + 0) - 1 - 1 + 0)*(j + 0 + 0).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 48852 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 minus 405097?\nAnswer: -405101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -784025\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - 1)\/((-10)\/5). Let f(l) = 0*l + l - 6*l**3 + t*l. What is f(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 152947449?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 538294.7ml in litres?\nAnswer: 538.2947","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 - 8*b**2 - 177*b - 976. What is the remainder when 1580 is divided by v(-6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 41971\/6 + -6995. Factor -n*i**3 + 1\/3*i**2 + 1\/6*i - 1\/3.\nAnswer: -(i - 2)*(i - 1)*(i + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(800) - sqrt(50) - sqrt(50))\/sqrt(10).\nAnswer: 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-8) - 108\/48. List the prime factors of (p\/5)\/(10\/(-1550)).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 392*v - 318*v - 370 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 + 38*p - 2437. Calculate the remainder when 822 is divided by a(-73).\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5746, -11004, -15802, -20140?\n\"Answer: 230*c**2 - 5948*c - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 - 28 = 6*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 5*y = i, -12 = -5*i + y. Solve 3 = -i*l + 3*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -7 + 2 - z + 3*z - 16. Let n = 1790 - 1776. Determine u(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l + 26. Suppose 0 = -13*k + 95 + 50 + 11. Give p(k).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.041 + -0.959. Let s = -0.64 - h. Let k = s - -4.64. Which is the third biggest value? (a) -5 (b) 2\/11 (c) 0 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from {r: 3, t: 4, m: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-6\/5))\/(q\/(q**(-1\/4)*q))*q*q*q**(2\/25)*q*q\/q**13 assuming q is positive.\nAnswer: q**(-697\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 2. Let f = u - -4. Let g = -5 + f. What is the closest to g in 0.1, 5, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145913 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*l = 44*l - 5. What is the closest to l in 0.2, -0.1, 3\/4, -6?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - 10101110010111?\nAnswer: -10101110010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 90 and 225.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1964?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/(-2*((-62)\/(-56) - 1)*(-30)\/(-45)).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 10\/11 - 2\/11*a**2 + 8\/11*a = 0.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-24)\/28)\/((-2)\/14). Suppose -3*q - 2*i = -w*i - 11, -4*q - 5*i + 56 = 0. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = w + 24, -5*w + y = -3*w + 3. Let l be w + (-3)\/6*(6 - 4). Solve l = 4*r - 2*c - 5 - 1, -3*c = -5*r + 10 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5513 less than 50407848?\nAnswer: 50413361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 AM and 7:40 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 37\/5 of a meter?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 151 = -0*k + k, -5*k + 4*b = -758. Suppose 0*c = 2*c - k. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(48\/6)*1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2bc126 + -4c?\nAnswer: 2bc0a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24028*b**4 - 1687*b**3 + 88862892*b**2 wrt b.\nAnswer: 576672*b - 10122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 4*w. Let k(v) = 336437*v**2. Determine k(u(g)).\nAnswer: 5382992*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - -4. Suppose -d*h - 3 = o + 18, -4*o - 4 = -4*h. Let s be o\/(3\/(-1 + -14)). What is the greatest common factor of s and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-54)\/88 + (27\/18 - 1). Which is smaller: 0 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -676304*q**3\/3 + 17583916*q**2\/3 - 114295688*q\/3 + 676 = 0.\nAnswer: 3\/169076, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20934\/(-17445))\/(((-9)\/70)\/3).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 12 - 13 = 0. Let k(v) = 10*v**2 + 6*v - 11. Let r(n) = -7*n**2 - 4*n + 7. Let o(t) = -5*k(t) - 7*r(t). Determine o(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -3 - (-12 + 19 + -10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 85\/(-374)*(-136 + 142)?\nAnswer: -15\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1.9*-2126.6\nAnswer: -4040.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 7:39 AM?\nAnswer: 10:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y\/(y\/(y\/(y\/y**(2\/17))))*y))**(-2\/5) assuming y is positive.\nAnswer: y**(38\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/4)\/n)**(-33)\/(n*n**(-1))**(-11\/8) assuming n is positive.\nAnswer: n**(165\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1798112?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16625 and 4750.\nAnswer: 33250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/(1287\/(-6)) - 112\/182.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46211567 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 33168576 by -5568.\nAnswer: -5957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 - -414448850?\nAnswer: 414448850.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*b = 4*s + 16*b - 28, 0 = -3*s - b + 8 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jvijjviiijij. What is prob of sequence ij?\nAnswer: 25\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -47 - -51. Solve 0 = 3*f + f + l for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -6*v**2 + 19*v + 48. Let n(t) = -13*t**2 + 39*t + 98. Let b(z) = 4*n(z) - 9*o(z). Is 30 a factor of b(14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3126254 is divided by 67.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -10\/163, -0.2, 2\/17 in descending order.\nAnswer: 2\/17, -10\/163, -0.2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/((l*(l*l**(-11)\/l)\/l)\/l))\/l)\/((l\/(l**(-1\/15)*l)*l)\/l)*l**10*l*l**(2\/7) assuming l is positive.\nAnswer: l**(2438\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2805739467 to the nearest integer?\nAnswer: 52969","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 1:50 PM?\nAnswer: 3:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -2\/317 (c) 80\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2343978.32 and 0.3?\nAnswer: 2343978.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/8421896 and 137\/59472?\nAnswer: 151594128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 230, 453, 668, 875?\nAnswer: 1074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/6, -3, 5, 34.3, 2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5979 (base 11) in base 5?\nAnswer: 222310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 < 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*b - 5*b + 6*b**2 + 0*b + (0*b - b + 4*b)*(b - 2*b + 0*b) in the form k + q*b**2 + w*b and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-45 - 67 + 33)*((3 - 3 - 2)*(p - 1 + 1) - 3*p - p + p + p - 3*p + 3*p) - 3 - p + 3 to w*p + m and give w.\nAnswer: 315","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (230\/(-16) + 36\/96)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 176 = 4*m, -3*m + 150 = -4*b + b. Let y = -27 + m. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00496296001 to six decimal places.\nAnswer: -0.004963","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -9 (b) 4 (c) 0.3 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 1 - 8*c**3 - 3 + c**2 + 1 + c. Let n(u) = u**3 + 8*u**2 - 8*u + 13. Let k be n(-9). Suppose 0 = -k*g + 4*q + 16, 4*g - q = -3*q - 2. Give j(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3 + 812*i**2 - 79674*i - 246384.\nAnswer: -2*(i - 232)*(i - 177)*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3441 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 22 + 104. Let n = -11 - k. Let o = -33 + n. Is o a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2 + 90*t - 2025.\nAnswer: -(t - 45)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 2:53 AM?\nAnswer: 3:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -13323.\nAnswer: 2664.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-6) + 13\/2 + -4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1484.5 - 1485. What is the closest to 23 in k, -0.1, -2\/9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3262 + 5391 = -176*k - 5251 for k.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 47, 47, 49, 53, 59?\n\"Answer: n**2 - 3*n + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1087262120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*o - 749700 = -102*o. What is the greatest common factor of 70 and o?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -200 + 640?\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-5 + sqrt(1573) + sqrt(1573) + -1 + sqrt(1573) + (-6*(sqrt(1573) + -1 - sqrt(1573)) - sqrt(1573)))*3)**2.\nAnswer: 56628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/30 - 13432\/(-48). Suppose -5*s - 200 = -10*s. Calculate the highest common factor of s and t.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 0.05, 6, 97, -2\/13?\nAnswer: 97","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -3197 greater than or equal to 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 751\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 44865 to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 16 = 2. Let b be ((-2 + 2)\/(-5))\/(m*-1). Solve -c + 2*c = b for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 - x**2 - 1. Let g(p) = 5*p**3 - 3*p**2 - 4. Give 2*g(o) - 9*v(o).\nAnswer: o**3 + 3*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.19166 + 0.191625958. What is p rounded to six decimal places?\nAnswer: -0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7982 - -7981.9524. Which is the nearest to 1? (a) m (b) 0.3 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6049 - -10180. What is the greatest common factor of g and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67795869.\nAnswer: 3, 431, 52433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 5696 - 896 = 0. What is the highest common factor of 12 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 79b3 (base 13) to base 10\nAnswer: 17046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 - 13. Let l be 5 - 3 - 2\/2. Let f be ((-3)\/6)\/(l\/(-8)). Sort 2, f, z in increasing order.\nAnswer: z, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1002, 5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 17 = 5. Suppose 4*u + 2*i - 17 = 55, b = i. Is 4 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-6)\/4)\/(1\/(-36)). What is the common denominator of (-213)\/b + (-10)\/45 and -31\/16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 15*p**2 + 24*p - 152. Calculate the remainder when v(6) is divided by 45.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 1585955?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004647244746 to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.05 in -0.2, 7, -0.17?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 23557 to the power of 1\/2, to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 565 is divided by 13\/((-624)\/512)*-6?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 26561922\/7 or 3794560?\nAnswer: 26561922\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 3 (b) -0.4 (c) -4.78\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 41770020?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 917 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 201608863 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 54*k - 615 + 129 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-9 + 10)\/((-234)\/(-232) - 1)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 116156663 + 5?\nAnswer: 116160001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/61098 and 145\/7188.\nAnswer: 122196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -403? (a) 235 (b) -3 (c) -4 (d) -1\/7 (e) -2\/11 (f) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -209681 = -13*l + 100928. What is the thousands digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 378 - s - 757 + 379.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/2*k**2 - 465 + 933\/2*k.\nAnswer: -3*(k - 310)*(k - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -3*b. Let y = 759 + -655. Let l(x) = 48*x + 198*x + y*x - 55*x - 29*x. What is u(l(h))?\nAnswer: -798*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -3\/7 (b) 0.2 (c) -1\/8 (d) -0.8 (e) 31\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-872 + 496*x + 54*x + 872)*(0 + 0 - 2*x).\nAnswer: -1100*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19209 and 399.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13575855977 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 4*w + 2*p = 8, -5*w + 18 = -p. Let f(h) be the first derivative of w + 0*h**2 + 7\/2*h**4 + 0*h**3 + 8*h. What is the derivative of f(z) wrt z?\nAnswer: 42*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-39)\/(-2)*172\/258?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j**2 + 0 + 0. Let c(m) be the first derivative of -35*m**2\/2 + 11*m - 35. Let k(r) = 18*r - 6. Let u(y) = -6*c(y) - 11*k(y). Determine u(a(q)).\nAnswer: 24*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -200287 not equal to -200319?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.015 + 2. Let o = 0 - n. Round o to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25.3 - -30.3. Sort 0, i, 3, 61 in descending order.\nAnswer: 61, i, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t + 1. Let s be (-1 - -1)*5\/20. Let q be 0 + 1\/4*s. Suppose 4*x + q*c + 6 = 2*c, 3*c = -9. Determine i(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1111*k**3 + 98*k + 1633312.\nAnswer: 3333*k**2 + 98","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.29539531 rounded to three dps?\nAnswer: -0.295","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-2)\/4*6\/(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1215.116 to the nearest one hundred.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 - -16. Let f be (2 + -3)*(2 - 1) - d. Let a = -23 - f. Solve 4 = a*i - 16 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -4*p + 10. What is the smallest common multiple of p and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 756415 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7048813.\nAnswer: 1753, 4021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -44*3\/(-60) + 2\/(-10). Let a be ((-12)\/48)\/((-2)\/72). Let n(g) = g - 1. Let t be n(4). Solve 0 = l*x + t - a for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -3*n**2 + 366*n + 1803. Let z(t) = -2*t**2 + 262*t + 1288. Let p(i) = 12*b(i) - 17*z(i). Factor p(f).\nAnswer: -2*(f + 5)*(f + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7)\/28 - (-87)\/12 - -2. Solve 2*f = -4, -5*h - 5*f + t + 6 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -46897310 to the nearest 1000000.\nAnswer: -47000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13311 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 36 + 12 = 0. Let f be (-1)\/2 + 30\/k. Suppose 2*a - 180 = -f*a - 4*z, 5*a = -3*z + 233. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*a**4 + 2*a**2 - 2*a**2)*(-7*a + a + 3*a) - a**5 + 11*a**5 - 4*a**5.\nAnswer: 27*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(847)*-1)**2 - (sqrt(847) + -5*-1*sqrt(847)))*-1.\nAnswer: -13552 + 66*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18 in -20.5, 1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 133, 3, -88, -3 in descending order.\nAnswer: 133, 3, -3, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (13572\/2639)\/((-75)\/(-14)). Let m = -328\/19 - -3122\/95. Let 0 - z*p - m*p**4 + 8*p**5 - 558\/25*p**3 - 208\/25*p**2 = 0. Calculate p.\nAnswer: -2\/5, -1\/4, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100100001110110 (base 2) to base 8.\nAnswer: 44166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, -3 in ascending order.\nAnswer: -5, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1570404 and 3201.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of -5 + 1\/2*o**2 + o. Let a be v(2). Solve -c - 2*x = -a*c, 5 = 3*c + 2*x for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 2*i = -28, -5*r = -i + 32 + 3. Let p = -4 - r. Let c = -9 + 11. What is the smallest common multiple of p and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*r = -26*r - 5. Is (-1 - 0)*r*(-9655)\/25 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.19 * 1.18\nAnswer: -0.2242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -453832 + 2657*n + 453834 + n**2 + 0*n**2.\nAnswer: n**2 + 2657*n + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of 2*o**3\/3 + o**2\/2 - 2*o - 1. What is p(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44846*q - 3*q**2 - 14709*q - 2 + 2 - 14750*q - 14669*q.\nAnswer: -3*q**2 + 718*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 PM and 9:07 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3*(6 + 100\/(-15)) + 4408. Let c = -1207 + w. What is c rounded to the nearest one hundred?\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -15*z + 1. Let l(v) = v**3 - v**2 + 1. Let m(w) = 3*w**3 + 17*w**2 + 13*w - 87. Let b(d) = 2*l(d) - m(d). Let q be b(-18). Determine j(q).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13196 - 6248 = 591*p + 6514 + 1819 for p.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 68581116 by -3.\nAnswer: -22860372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -422, -425, -430, -437, -446, -457?\n\"Answer: -b**2 - 421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = -12*o + 17*o + 28, 5*o - 4*t + 56 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 44 (base 8) to base 4\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z + 0 = -10*z + 20. Solve z*s = 69 + 31 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(637)*-1)**2 + sqrt(52) + 2)*-3.\nAnswer: -1917 - 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 2\/9, 12, -10\/3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5, y: 3}. Give prob of picking 2 z and 1 y.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**2 - 2967*v + 5926*v - 2959*v + 121*v**5 + (2*v - v + 0*v)*(-4*v**4 + 5*v**4 + v**4).\nAnswer: 123*v**5 - v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1221, -2448, -3677, -4908, -6141?\nAnswer: -7376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/760 and 17\/8360.\nAnswer: 8360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 14424252 rounded to the nearest 100000?\nAnswer: 14400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 5 + 10. Let w(g) = 5 + 2*g - 21 + 9. Calculate w(c).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of -u**8\/420 + u**4\/8 - u**3 + 1. Let l(t) be the third derivative of h(t). Differentiate l(g) with respect to g.\nAnswer: -16*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/((-9 - 14) + 9)*(-126)\/(-12). Which is the nearest to o? (a) -54 (b) -0.3 (c) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r + 5*r - 3*r + (-1 + 2 - 2)*(-r + 3*r + 0*r) + 28*r + 100*r - 40*r + 6 - 6 - 4*r.\nAnswer: 81*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 4*c - 5*c - 1 + 0*c**2 - c**2 + 6*c. Let v be o(5). Let b be 4\/1*(v + 2). What is the greatest common divisor of b and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37d38 (base 16) to base 15\nAnswer: 47b44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 950203 and -210?\nAnswer: -199542630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of 2*n**3\/3 - 3. Let z(p) = 4*p. What is i(z(j))?\nAnswer: 32*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 649.244 + -647. Round y to 1 dp.\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 9*t. Let r(p) = -18*p. Let s(a) = -9*i(a) - 4*r(a). Let m(w) be the third derivative of -w**4\/6 - 23*w**2. Determine s(m(v)).\nAnswer: 36*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 AM and 1:40 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 14, -0.5, -2\/21, -1260, 1, 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 16) to base 6.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -81 - -41. Let m = w + 58. Let y(k) = -k**2 + 1. Let h(i) = -3*i**3 - 18*i**2 + 18. Calculate m*y(p) - h(p).\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8.127 and 10?\nAnswer: 81.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -32\/15 - 2\/15*q**2 + 16\/15*q.\nAnswer: -2*(q - 4)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x**(5\/3)\/x*x))\/x**(5\/2))**28 assuming x is positive.\nAnswer: x**(-350\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 + 8*a - 2. Let x be n(6). Suppose 5*i = x*i. Solve -5*d + 2*m = -1, -m = -3*d - i*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 3*t**3 + 2*t**2 - 7*t + 3. Let s be k(2). Let l = s - 4. Calculate the remainder when 67 is divided by l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -257479 divided by -34\nAnswer: 257479\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 39*b - 38*b + b**3 + 1 + 10*b**2 - 7*b**2 + 12*b**2 to i*b**3 + d*b**2 + z + u*b and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -343*h*n*u**2 - h*n + 49*h*u**2 + 133312*h + n*u**3 with respect to u.\nAnswer: -686*h*n*u + 98*h*u + 3*n*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20301124032001 - 3?\nAnswer: -20301124032004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (104 - 246796\/2370)*((-435)\/(-4))\/3\nAnswer: -29\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -124, -118, -112, -106, -100?\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/6 in 17.44, -0.2174, 1\/6?\nAnswer: -0.2174","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 + 12*x + 13. Suppose -4*w + 0*w - 44 = 0. Let d be m(w). Is d\/(((-4)\/(-14))\/1) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4201)\/5*(-245)\/49 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.7 + 1. Put r, -5, 2 in ascending order.\nAnswer: -5, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -139, -66, 181, 602, 1197, 1966?\n\"Answer: 87*s**2 - 188*s - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 804.974mm in meters?\nAnswer: 0.804974","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -4*(3 + 1*sqrt(343) + 1)**2.\nAnswer: -1437 - 224*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-35)\/i)\/((i**(-31)*i)\/i))**31 assuming i is positive.\nAnswer: i**(-155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 40\/11 and 39\/1907110.\nAnswer: 20978210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/55? (a) 0.054 (b) -1 (c) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49 is divided by (-4)\/(-3) - (-5)\/3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 171550892.\nAnswer: 2, 29, 1478887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnfnfwnnnnffwf. Give prob of sequence nn.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*z - 4*z**2 - 6*z + ((-4 - 1 + 6)*(-2*z + 0*z + 4*z) + 4*z - 4*z - 4*z)*(15*z + 37*z - 86*z).\nAnswer: 64*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*f**2\/4 + 4505*f\/4 + 800 = 0. Calculate f.\nAnswer: -128, -5\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1360 times 0.1\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4726 = 698*d + 211*d + 1454*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 52, 2, 0.06, 0.14?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 4. Suppose z - 4199985 = -0*z + 5*p, l = z - 4*p - 4199988. Round z to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of -41*y**4\/12 + y**3\/6 - y**2. Let i(l) = -45*l - 4232. Let a be i(-94). List the prime factors of d(a).\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = -0*r - 3*r - 12, -5*i - 3*r = 12 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 14584716 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 5, k: 3, u: 3}. Give prob of picking 2 u, 1 k, and 1 i.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -8808289, -8808302, -8808315, -8808328?\n\"Answer: -13*i - 8808276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 88 + -51. Let k = -35 + g. Solve k - 4 = -w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i, 3*i + 8 = 4*h - 2*i. Suppose 0 = h*w + w - 18. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of -y**7\/70 + y**6\/60 + y**5\/20 - y**4\/12 + y**2\/2 - y. Let o(r) be the first derivative of q(r). Factor o(x).\nAnswer: -x*(x - 1)*(x + 1)*(3*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 102.12 or -0.01?\nAnswer: 102.12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -161*c = 18*c - 4*c. Let x = 79 - 55. Let o be (-2)\/5 + x\/10. Solve -o*s - 2 = -j, -2*s = -c*j + 2*j - 10 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*t - 1199 = 10201. List the prime factors of t.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 3:46 AM?\nAnswer: 4:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2531838977?\nAnswer: 19, 61, 2184503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 - 16*g - 22. Let p be z(-13). Let c be -5 + 2 - (-4 - -8 - p). Suppose 13*b - 144 = c*b. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92251921 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3352469 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1211252*w**5 - 3*w**4 - 4*w**3 - 863921*w**2 + 24*w + 2 wrt w.\nAnswer: -72675120*w**2 - 72*w - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of -17*t**5\/60 - 8*t**2. Let p(n) be the first derivative of -n**3\/3 - 3. Give p(r(l)).\nAnswer: -289*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 0 - 11)*(c + 0 + 0)*(-5*c - 13 + 13) + (-3 - 2*c + 3)*(5*c - 2*c + 0*c) as m*c + a + z*c**2 and give z.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 235598\/10535 or 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 + 0*(-2)\/(-6). Let s be (-3)\/(-9)*-5 - x. Let i = 3 - 4. What is the second smallest value in s, i, 5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 47 + -35. Suppose -c*b + 10*b + 8 = 0. Suppose 0 = 2*p - b*f - 52, p + 0*p - 32 = 5*f. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (1 - 2 - (-1 + -1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 k when three letters picked without replacement from zzttkzzrtrzrttztzz.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.688415 tonnes in grams?\nAnswer: 688415","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*o - 5*d - 45, 5*d + 21315 - 21290 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 3 = -7. Is (-36)\/54*609\/n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 + (-3 + 0 + -18 - 4).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*n**4 + n**2 - 3*n**3 + 5*n**3 + 2*n**4 to the form i*n**2 + c*n**4 + v*n**3 + o + l*n and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**4 - 10*i**3 - 4*i**2 + 16*i.\nAnswer: -2*i*(i - 1)*(i + 2)*(i + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 PM and 6:13 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -39421 + 39249. Let p = 295 - 466. Which is bigger: p or r?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61675865 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12165193 rounded to four dps?\nAnswer: -0.1217","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c**5\/5 + 968*c**4\/5 + 7152*c**3\/5 - 44792*c**2\/5 - 7148*c\/5 + 43824\/5 = 0 for c.\nAnswer: -11, -1, 1, 4, 249","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2992 * 10\nAnswer: -29920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 9:04 PM?\nAnswer: 12:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -4*r - 2. Let j(x) = 5*x + 3. Let m(z) = 3*j(z) + 4*w(z). Let f be m(-4). Suppose -l - f + 63 = 0. What are the prime factors of l?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 87322.29nm?\nAnswer: 87.32229","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 268\/201*-1*1*-3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 2*d - 6 = 0. Suppose -84 + 9 = -5*x + y, 0 = -x + 3*y + 29. Suppose -p - x = -d*p. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 - 3*z + z - 4*z + 2*z. Let s be d(4). Let i = 83 + -93. Sort s, i, 2 in descending order.\nAnswer: 2, s, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2374*s. Let h(z) = 140*z**2 + 3*z. Let y(t) = 466*t**2 + 10*t. Let v(f) = 10*h(f) - 3*y(f). Determine v(n(w)).\nAnswer: 11271752*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 4*p - 2*n - 6, 0 = 5*p - n - 25. Suppose 4*k = -p*d + 16, 2*k + 3*k - d = -9. What is the tens digit of k\/((-66)\/(-34) + -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 846, 1693, 2540, 3387, 4234, 5081?\nAnswer: 5928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -5*c**3 + c**2 + 3*c + 3. Let i(u) = -16*u**3 + 2*u**2 + 8*u + 8. Give -3*i(t) + 8*x(t).\nAnswer: 8*t**3 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-1\/11)\/(c\/c**(-2\/9)) assuming c is positive.\nAnswer: c**(-130\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 492 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-33)\/(-33)*(62 - 3) is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lhhwhay. What is prob of sequence wah?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -10\/179?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26, -38, -48, -56?\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggwgggggggggggfwg. Give prob of sequence fww.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3532 is divided by 107.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 50 = 4. Suppose 2*b = -0*b - 18. Let w = p + b. Solve w*o + d = -o, -d - 12 = 4*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -12 + (-19131)\/(-7) - -9. What is the greatest common factor of i and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2159535838.\nAnswer: 2, 1079767919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gl when two letters picked without replacement from lllllllggglglg.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3428 is divided by 622?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -136 + 142. What is the second derivative of 3*q + 18*q**2 - n + 11 - 2*q - 2*q wrt q?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 75.\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1484)\/(-9) - (9 + 738\/(-81)). Suppose 35*y - 24*y = c. Let r = 24 - 18. Calculate the greatest common factor of r and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 - 9*j**2 - j - 7. Let g be k(9). Let m = 9 + g. Let x = -2 - m. Is x a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of -2*o**7\/105 - o**6\/6 - 7*o**5\/15 - o**4\/2 + 7*o**2. Factor l(f).\nAnswer: -4*f*(f + 1)**2*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1302 and 3864.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38.527*0.12.\nAnswer: -4.62324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - ((-54 - -12) + 14 + -4)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*w**3 + 34*w**3 - 277*w**3 - 226*w**3.\nAnswer: -491*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**4 - 4*d + 58*d**2 - 8582 + 20*d**3 - 8581 - 8660 + 20*d + 25727.\nAnswer: 2*(d - 1)*(d + 3)*(d + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 729280?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1465\/11 - -133. Which is the nearest to -1? (a) d (b) -3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 72859 - -16307. What is the ten thousands digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/10)\/((-1)\/(-3))*1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 128746*k**5 - k**2 + 42*k + 13.\nAnswer: 7724760*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8920508279.\nAnswer: 8920508279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 69 - 107. Let m = -42 - u. Which is the third biggest value? (a) 0 (b) -0.5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + 2*r - r)*(0*r**3 + 2*r**3 - 4*r**3) + (-3*r**2 + 4*r**2 + 0*r**2)*(-5*r**2 + 4*r**2 + 15*r**2).\nAnswer: 16*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 544200 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -163, -4, -32, 4, 6, 0 in descending order.\nAnswer: 6, 4, 0, -4, -32, -163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of -x - 1 + 0 + x**2 - 1 + 0. Let k be l(3). What is the greatest common divisor of k and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/1 + -1 + -5. Let k be (30\/z)\/((-12)\/32). Let a = 252 - 162. Calculate the highest common divisor of k and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/120 and -109\/48.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 7 + 4 = 5*s, 4*s - 12 = 0. Let h(r) = r**3 + 3*r**2 - r - 2. Let v be h(-3). Suppose k = b - v. Solve -6 = 3*i + c, -i - 3*i + b = -2*c for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*g**2 + 2*g**2 + g**2 + (0 - 4 + 5)*(187 - 20*g**2 - 187) - g**2 + 2*g**2 - 3*g**2 - 3*g**2 + 4*g**2 + g**2 as q*g**2 + s + k*g and give q.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21990 and 3030.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 6*h**2 - 12*h + 2. What is the hundreds digit of g(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.62334 to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, -20\/3, 2\/13?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1b2e (base 15) to base 7\nAnswer: -23120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-42 - -5) + 5 + 41\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2 - 7364*q.\nAnswer: 2*q*(q - 3682)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + c + c - 34, -45 = -5*p + 3*c. Solve -p = 4*b - 7*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*w - 2*w**2 - 10*w - 3*w**2 + 2 + 0*w + 6*w**2 - 2*w**3 to j*w**3 + d + a*w**2 + r*w and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.962 + -0.168. Let z = -0.63 - f. Which is the second biggest value? (a) 0 (b) z (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 295, -0.2, 0.3?\nAnswer: 295","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 49566393?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.763296 to 1 decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37 divided by 15.\nAnswer: -37\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 15 = -5*p. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.1 (b) -2\/7 (c) 1 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-4) + 27\/6. Suppose h + a = 9. Let r = 1 - 1. Solve -o - h + 2 = r for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -4*n - 1653, 3*n = 5*g + 4592 + 3742. Let h = 914 - g. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = 4*x - 10, 0 = x - 2*x - d + 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -43 and 768835.\nAnswer: 768792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1260 (base 11) in base 5?\nAnswer: -23024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, 75, -4 in decreasing order.\nAnswer: 75, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 21.1797283 and 0.3.\nAnswer: 6.35391849","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j - 7. Give l(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -126130, -126208, -126348, -126556, -126838, -127200, -127648, -128188?\n\"Answer: -g**3 - 25*g**2 + 4*g - 126108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, 0.0819, 5 in decreasing order.\nAnswer: 5, 0.0819, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 - 9*j**2 + 19*j + 14. Give x(-10).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 + 1770*q**2 + 12449*q + 782. Give t(-7).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -11*v**2 + 16*v + 21. Let d(y) = -10*y**2 + 15*y + 20. Let z(p) = 5*c(p) - 6*d(p). Determine q so that z(q) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, q: 4}. What is prob of sequence qvv?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + (-8 - -1) + (3 - -94). Are 95 and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -27. What is the least common multiple of 22 and h\/(-20)*-1*10?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12650562 + u - 232*u**3 + 12650561 - 3*u**2 - 2*u**4 - 2*u to the form q*u**4 + j*u + v*u**2 + o*u**3 + h and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-1\/58)*n**(-31) assuming n is positive.\nAnswer: n**(-1799\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -88*o + 24. Let v(j) = j - 1. Let h(x) = -i(x) - 48*v(x). Let t be h(3). Suppose -4*m + t = -0*y + 2*y, y = -m + 34. Does 20 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*p + 49*p = 0. What is the units digit of p\/(-2) - ((-5 - 3) + -228)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 2\/11, 10.9, 14.8, -0.5?\nAnswer: 10.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6312\/526 - ((-16)\/(-56) + (-502)\/(-56)).\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00012718 rounded to six dps?\nAnswer: -0.000127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -20743447\nAnswer: 20743447","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2*g**3 - 30*g**2 - 31*g + 1. Let w be f(-14). Do w and 41 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1689, 3442, 5199, 6960, 8725?\nAnswer: 10494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/(-22)*(-15 - 790\/(-50)). Which is the nearest to -1\/4? (a) l (b) 1.9 (c) 0 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 2\/41, 304\/3, 5\/6 in decreasing order.\nAnswer: 304\/3, 5\/6, 2\/41, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*i**3 + 0*i + 0*i**2 + 0.\nAnswer: 2*i**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 333545 is divided by 22236?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 24314423 (base 5) to base 9\nAnswer: 378557","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 + 1. Let m(v) = v**3 + 10*v**2 + 7*v - 5. Calculate the remainder when m(-8) is divided by q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.042025 nanoseconds in seconds?\nAnswer: 0.000000000042025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 33 = 5*o, 5*o = -z + 6*z - 45. Suppose 3*w - 31 = i, w - 6*w - z*i + 29 = 0. Solve -8*g + w*g + 5 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -1.02. Let i = -7.22 - -7. Let z = l + i. Which is the second biggest value? (a) z (b) -1 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*d + 247*d**2 + 218*d**2 - 8*d - 6*d + 236*d**2 - 736*d**2.\nAnswer: -35*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -247 + 247.3. Let y = 113 + -561\/5. Put y, o, 0.5, -0.5 in ascending order.\nAnswer: -0.5, o, 0.5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.07 + -2.93. Let z = 0.34 + -0.4. Let j = 0.34 - z. What is the second smallest value in j, 1\/8, i?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000220262 rounded to five dps?\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1352 - 7?\nAnswer: 1345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8790822 is divided by 465?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1041 (base 9) to base 8.\nAnswer: 1376","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0009009724 to six decimal places.\nAnswer: -0.000901","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (19\/(-38))\/((-4)\/(-6)*-3)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 35506776.\nAnswer: 35506776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o + 7. Let f be a(8). What is the remainder when (0 + (4 - 3))*(f - -149) is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 213*o**3 - 225*o**3 - 371*o**3 - o**3 + 0*o + 0*o + (-4 + 4 - 2)*(-o**3 - o**2 + o**2) in the form r*o + i + a*o**2 + t*o**3 and give t.\nAnswer: -382","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2525785 nanograms to kilograms.\nAnswer: 0.0000000000002525785","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n - 16 = -12*n. Calculate the remainder when n is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-47)\/94*(-142)\/10 - 7.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaeazreaz. What is prob of picking 2 a?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-37)\/(5439\/(-42)))\/((330\/(-14))\/3)\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -80*t + 5. Let m be l(-8). Suppose 0 = 3*h - 4*c - 1666, 4*h = 4*c - m + 2873. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (2 - -298 - 2)\/(1 - -1) is divided by 39?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (12 - (-1815)\/5)*(-8)\/(-10). Calculate the greatest common factor of u and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24 - 38 + 9752*m**3 - 9742*m**3 - 35*m + 14 - 4*m**2 to the form j + a*m + w*m**2 + c*m**3 and give c.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1034956*i**2 + 2063869?\nAnswer: -2069912*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 30 = 8*d. What is the nearest to 1 in -0.2, 0, d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2876 or 486264\/169?\nAnswer: 2876","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28 and 966.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3859523 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3655 (base 14) to base 11\nAnswer: 7141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3684757?\nAnswer: 3684757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 8*y - 148 = -238, i + 5*y = -33 + 87 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 s, and 1 u when three letters picked without replacement from {o: 7, a: 1, h: 4, s: 3, n: 1, u: 2}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 - -18. Let x(f) = 3*f**2 + 3*f + 3. Let o(h) = h**3 - 2*h**2 - 2*h - 2. Suppose 10 = -g + 8. Calculate g*x(a) + u*o(a).\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 16*k - 548. Give y(14).\nAnswer: -324","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 3*v - 319562 = 0, 12*d - v = 14*d - 127827. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3195304 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 7) + -64 + 61 - (-2 + 3 + 0).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -73, -58, -25, 32, 119, 242?\n\"Answer: o**3 + 3*o**2 - o - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 271 - 0?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 330161701 to the nearest integer?\nAnswer: 18170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ydv when three letters picked without replacement from qzqvyyqzyqlyydzzqyyd.\nAnswer: 7\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 599288?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1773 - -13.8227. Let i = -5.2 + 5. Which is the fourth smallest value? (a) r (b) i (c) -11\/4 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144975697 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -6*g**2 + 36*g + 49. Give i(8).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 749256237.\nAnswer: 3, 3083359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v**2 + 2661315*v + 42579760 = 0 for v.\nAnswer: -532247, -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 1.2 (b) 3\/7 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*m - m - 588. What is the greatest common factor of 28 and m?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 3:25 AM?\nAnswer: 5:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 AM and 10:15 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -13*y - 64. Let i be p(0). Let n = i - -17. Which is smaller: -44 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/20 and 101\/418?\nAnswer: 4180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (0 + (-40)\/14)*(-39 + 25) and 68.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of 0*m**4 + 0 + 0*m - 1\/336*m**8 + 1\/20*m**5 + 2*m**2 + 0*m**3 + 0*m**6 + 0*m**7. Find the third derivative of g(x) wrt x.\nAnswer: -60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -4 - -7) + (-66 - -44).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = -21*l + 3429. Calculate the remainder when l is divided by 64.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*p**2 - p**2 - 4*p**2 + 0*p**2 + 3*p**2 - 4*p**2 + (-p - p + p)*(2*p + p - p).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16.5 - -17. Which is the third biggest value? (a) -3\/2 (b) -2\/7 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/(-4) - 2)\/(3\/(-250)). Let c = 136 - o. Let x = 12 - -48. What is the smallest common multiple of x and c?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -4 + 3 + 0 + 5*m + 0*m**2 - m**2. Suppose 5*c = -2*r + 5, 2*r - 6 = -6*c + 2*c. Suppose -r = 46*y - 47*y. Calculate a(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -3*b**3 - 68745*b**2 - 3292053*b + 18179265 = 0.\nAnswer: -22867, -53, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 - 13*f - 30. Let k be q(16). Let i(v) = -12*v**3 + 1 + 8*v + 12*v - k*v - 43*v**3. List the prime factors of i(-1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 5:25 PM?\nAnswer: 5:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 0.06, 1\/3, -979, 0, -191, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3058 + -3017. Solve -42*o = -v*o - 5*g + 8, 5*o + g = 12 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 47936884?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 - 9*q - 3. Let s be h(-8). Suppose 4*c - 2*c - z = 144, -s*z = -20. Is c a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 18 = 4*m, m = 14*v - 22*v + 27 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -156958605 and 1288?\nAnswer: 156959893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w**(-8)*w)\/(w\/((w\/w**(-3\/2))\/w)*w))**(3\/5))**(-14\/3))**(-6\/25) assuming w is positive.\nAnswer: w**(-126\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 273 - -56. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*v + 2*v - 6*v + 0*v + v + v + (-v - 3*v + 3*v)*(-3 - 4 + 5) - 3 + v + 3 + 3*v - v - v + (-3 + 3 + 2*v)*(-2 - 3 + 3) + 3 - v - 3 + 4*v - v - 4*v.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**2 + 1116*r - 103788.\nAnswer: -3*(r - 186)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1111022111 (base 3) in base 9?\nAnswer: -44274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.125343*1.\nAnswer: -0.125343","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5052 - -7648. Suppose 8*p - t = 4*p. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 503?\nAnswer: 2515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140 is divided by 41?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 6 - (29 + -14 - 21)) + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 164*o**2 - 8*o + 9. What is d(-2)?\nAnswer: 681","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -3*g. Solve 2*w + g*m = -m - 15, -2*w + m - 5 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 5)*(3*c**2 + c**2 - 2*c**2) + 5 - c**2 - 5.\nAnswer: -7*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 534*v**2 + 29*v - 1. Let i be n(-1). Calculate the highest common divisor of i and 2688.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -101 - -58. Let f = x - -49. Suppose f*n = 10178942 - 1418942. What is n rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of k**6\/360 - k**5\/120 + k**4\/8 + 2*k**3\/3 - k**2. Let l(t) be the first derivative of h(t). What is l(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.68 + -29.68. Let b = -26 - y. Let d be ((-4)\/2)\/(-5 + 18\/6). What is the closest to b in -7, d, -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 827 - 463. Suppose 3*c = 4*w - h, 0*w - 5*c = -2*w + 182. What is the greatest common factor of w and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1455195?\nAnswer: 3, 5, 7, 13859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - 3 - ((1 - -4) + -11). Let v(g) be the first derivative of -g**4\/4 + 2*g**3 - 3*g**2\/2 - 4*g + 2. Let u be v(b). Solve -m - 3*m + u = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 275*z**2 - 2485*z + 90 = 0. What is z?\nAnswer: 2\/55, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -1, 1, -1\/2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -138164*t + 3315869. Give l(24).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + v - 30. Let n = 131.95 - 129.95. Which is the closest to 1? (a) n (b) v (c) 0.5 (d) -25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - 1. Let c be w*(-28)\/(-8)*-1. Let a(r) = r - 2. Is a(c) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 413 (base 6) to base 2.\nAnswer: 10011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 + 10*m**2 + 3*m - 8. Let v(l) = 4*l**2 + 131*l + 710. What is the remainder when v(-6) is divided by i(-9)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107588?\nAnswer: 2, 13, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 73206 and 2699802.\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -5*p**2 - 60*p - 178. What is b(-8)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 1 + 1 - j**4 + (4 - 3 - 7)*(2*j**2 - 3*j**4 - 2*j**2) to the form d*j**4 + n*j**2 + y + g*j + f*j**3 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h - 4 + 4)*(3 + 3 - 3) - h + h + h.\nAnswer: 7*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-16)\/(-30)*5\/(-2). Let t = 2 - 2.4. Suppose 0 = -14*p + 13*p + 2. Sort p, r, t in descending order.\nAnswer: p, t, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 266?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -3*m - 7. Let z be ((-120)\/(-42))\/(6\/(-21)). What is r(z)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -3 (b) 0.5 (c) 1\/14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*u - 0. Let l(h) be the first derivative of -2\/3*h**3 + 0*h**4 + 0*h - 1 + 0*h**5 + 0*h**u - 1\/3*h**6. What is the third derivative of l(t) wrt t?\nAnswer: -120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of -97*s**3\/3 - 804. Let b(i) = -8*i**2. Calculate b(u(g)).\nAnswer: -75272*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**0)**18)**26\/((v**1*v**(-2)*v)\/(v*v\/(v*v**(-1\/3))*v*v)**(-15)) assuming v is positive.\nAnswer: v**(-50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3784 and 3110448.\nAnswer: 3110448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/s**(-2\/3)))\/s**(-1\/3)*((s*s\/s**(-2\/5))\/s*s)**(3\/13)*(s**(-2\/11)*s\/s**0)\/(s\/(s\/s**(-2))*s*s**(-6\/11)*s*s) assuming s is positive.\nAnswer: s**(1253\/2145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 - 21*x**2 + 37*x + 26. Let j be m(19). Suppose -j*t + 641 = -591. Let a be 20\/(-3)*(-24)\/10. What is the greatest common divisor of t and a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 5*x + 15 = 0, -4*x = c + x + 15. Let l be c - (2 + 64\/(-28)). Which is bigger: l or 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 920 is divided by (-15)\/(11\/(220\/(-25)))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gkggkgklkkgkkgkkgkkk. What is prob of picking 1 l and 1 k?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 + s + 1. Let m(x) = -2*x**3 - x**2 + 4*x + 10. Let q(c) = -c**3 - c**2 + 4*c + 8. Let z(v) = -2*m(v) + 3*q(v). Give -4*k(g) + z(g).\nAnswer: -3*g**3 - g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2*k**2 + 5. Let t(w) = w - 2. Let i = 4 + 0. Let b be t(i). Let p(o) = o**2 - o - 1. Let y(d) = b*n(d) + 6*p(d). Factor y(j).\nAnswer: 2*(j - 2)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1610262?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 265 - -198. List the prime factors of r.\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15322 and 2?\nAnswer: 15322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v. Let n(z) = -1098*z**2 - 651*z**2 - 1041*z**2 - 391*z**2. Determine o(n(r)).\nAnswer: 3181*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = 4*b. Suppose -3*f = 5*x + 95, 2*f = -2*x - b - 34. Let l = -22 - x. Let a(y) = y + 3. Determine a(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence icw when three letters picked without replacement from {w: 8, i: 1, c: 5, a: 2}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 349 - 2403*v**2 - 27 + 683 - v + 743 wrt v?\nAnswer: -4806","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 + 42*y**2 + 52*y - 12. Determine i(43).\nAnswer: 375","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/7, -0.02, 5.2 in ascending order.\nAnswer: -0.02, 4\/7, 5.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4.3, -1\/3, 1\/11, 3\/5 in descending order.\nAnswer: 3\/5, 1\/11, -1\/3, -4.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23067 + -23066 - (120\/52 + (-1 - 0)).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*5*(6*(2*sqrt(13) + -1) - (-1 + (3*sqrt(117))**2)).\nAnswer: -360*sqrt(13) + 31740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 PM and 7:45 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 12*t - 50. Suppose -3*q + t*q = 3*y - 13871, -4*q = 16. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 5 = 97*c - 100*c. Let j = -0.03 + 0.33. Suppose 3*p + 5 = 4*p. What is the nearest to 0 in c, j, p?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of (1 - 8) + -2547*(-75)\/135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5688)\/(-2370)*(-20)\/88?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 - 4*g**2 - 6*g + 7. Let c be ((-1)\/(2\/12))\/1. Is l(c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 613 (base 8) to base 5\nAnswer: 3040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eu when two letters picked without replacement from hhllhhelhuw.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/37 (b) 0 (c) -1 (d) -355 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 7:37 PM?\nAnswer: 2:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34608 is divided by 4321.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*w - 5*w + 4*t, -9 = -w - t. Suppose 0*z = -2*z - 2*p + w, -3*p = z + 8. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1349 is divided by 446?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 PM and 6:48 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 30\/(-3) + 184293\/9 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a5c0 - -120c7?\nAnswer: 1c6b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2542475567 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 33*z - 6. Let j(c) = 41*c - 8. Let y(q) = -4*j(q) + 5*p(q). Calculate y(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (31\/(-68))\/(-31)*-12?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-4\/5))**(-10) assuming y is positive.\nAnswer: y**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6a + 1a?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 40483907 to the nearest integer?\nAnswer: 6363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 0 - (-17 + 26 - 7)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Simplify v**15\/(v*v\/(v\/v**(-17))) assuming v is positive.\nAnswer: v**31","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 6) in base 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.257943 centuries to months.\nAnswer: 9909.5316","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 233, 432, 643, 872, 1125?\n\"Answer: a**3 + 192*a + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.3684246 to 2 dps.\nAnswer: -3.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 14505287039 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2782435 and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15497836 is divided by 1962.\nAnswer: 1960","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 876245 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c. Let i(w) = -196*w + 65*w + 64*w + 69*w. Determine 3*i(b) + 5*s(b).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together -106 and 341.\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10\/283 or -1?\nAnswer: 10\/283","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25 + 69. Suppose a + 28 = b. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 15. Sort o, -1\/3, -0.1 in increasing order.\nAnswer: -1\/3, -0.1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 80 and 2360?\nAnswer: 4720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*h**4 + h**3 - 33*h**2 - 171*h + 1489894?\nAnswer: 24*h**3 + 3*h**2 - 66*h - 171","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -3*i**3 - 3*i - 2. Let a be o(-1). Solve -3*j = -5*t + a + 5, 2*j + 4*t = 16 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 0.1334853.\nAnswer: -0.4004559","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**2 + 2*w**2 + 0*w**2)*(w**2 - w**2 - w**3).\nAnswer: -2*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -355*v**2 - 3189*v - 2. Give q(-9).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/40 and 2*(-92)\/24 + 4.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 202 - -271. Let j = 676 - n. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4\/43, -236 in descending order.\nAnswer: 1, 4\/43, -236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 954130517 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -460.552462 to 2 dps.\nAnswer: -460.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 511907968 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1111220120122 (base 3) to base 4.\nAnswer: -3010211312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5}. Give prob of sequence eee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19116 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of 12 - 39 + 2*x**4 + 9 + 6*x**2. What is the second derivative of h(y) wrt y?\nAnswer: 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/42 + (-2)\/(-14). Suppose i = -11*q + 5*q + 12. Is 1\/q*2*116 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-2)*15\/(-105)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*j = -35*j + 1584. Suppose 3*i - 3*a = 2*a + j, 2*a + 6 = 0. Is i a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -211\/3 + 3581\/51. Let j(c) = c**3 + 4*c**2 - 6*c - 5. Let u be j(-5). Are u and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*a**2 + 2*a + 37*a**3 - 5*a**3 - 57 - 57*a**2.\nAnswer: 32*a**3 + 2*a**2 + 2*a - 57","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 11) in base 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -13384, -13383, -13394, -13423, -13476, -13559, -13678, -13839?\n\"Answer: -y**3 + 8*y - 13391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 6:13 AM?\nAnswer: 7:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 933038603?\nAnswer: 7, 133291229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 40*b**3 + 2066 wrt b?\nAnswer: 120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 10*q - 43. Suppose -6*f + 10 = -8. Suppose -j = -4*n + j + 76, 58 = f*n - j. Is t(n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2902873 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s. Let b(p) = -2*p**2 - p + 1. Let f(u) = 299*u**2 + 161*u - 161. Let l = 2584 - 1779. Let k(w) = l*b(w) + 5*f(w). What is m(k(d))?\nAnswer: 230*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-10) + 196\/(-10). Let x be 1 - y\/(-4)*1. Put -1, -5, x in increasing order.\nAnswer: -5, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {o: 4, r: 2, u: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 2\/59, 5.2, -3?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w**2 - 51 + 2*w**2 - w**2 - w**2.\nAnswer: 3*w**2 - 51","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -35.8 - -33. Let v = c - -1.9. Let b = 1.3 + v. What is the second biggest value in -0.1, 1\/6, b?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (2 + -6 - 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 = -3*v + 5*q, v + 0*q = 5*q + 25. Suppose u**3 - 12*u**3 + 3*u**3 - u**3 + 4*u**3 + v*u + 5*u**2 = 0. Calculate u.\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5695543 divided by -9803.\nAnswer: -581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -10233 at most as big as -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from rrrrrrrrrkrrrrrrrrrr.\nAnswer: 17\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 338 + -781. Let l = i + 239. Is (l\/(-15))\/(6\/15) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6214637 a multiple of 113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1.6 (b) -1 (c) -0.3 (d) 290 (e) -0.1 (f) 38 (g) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 - g**2 + 73*g + 11. What is v(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 = -4*t - 4*l, 5*t - 4*l - 70 = 52. What is the biggest value in 2\/7, t, -2, 2\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 14 = 3*k, 2*k = -p - 880 + 891 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 0.4, 46, 0.03, 3\/4 in ascending order.\nAnswer: 0.03, 0.1, 0.4, 3\/4, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2*p + 3534213 = 0. Suppose l + 1674213 = -2*l. Let t = p - l. Round t to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yymmmmmmmmm. Give prob of picking 2 y and 2 m.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 275 - 78. Suppose 0 = 2*o + 5*q - 65 + n, 0 = 4*o - 4*q + 208. Let a = -66 + 9. Which is smaller: o or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 576 = 288 + 289. Suppose -4*l = 4*z - 0 + 16, l - 8 = 3*z. Sort -1, f, z in descending order.\nAnswer: f, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2385760?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2003 is divided by 477.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (-23 - 11 - -21)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.8 in -0.0141, -33, 4, 0.6?\nAnswer: -0.0141","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, k: 2, h: 1, r: 1, o: 2}. Give prob of picking 1 h and 2 o.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2)*(-103 - 79 + 243*n - 245*n).\nAnswer: -4*n - 364","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 5*r - 184 - 36 = 0, -97 = -3*k - 4*r. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + 624675?\nAnswer: 624677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 553122 + 5?\nAnswer: 553131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a**2 + 1180 - 2341 + 14*a + 1178. What is k(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -127364078*n*q**3 - 3043673*n*q**2 + 2*q**2 wrt q.\nAnswer: -764184468*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-36))\/((-3435)\/114500)?\nAnswer: -25\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -594 = -132*t + 330 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2. Let d(m) be the second derivative of 153*m**4\/2 + 2167*m. Calculate y(d(p)).\nAnswer: -842724*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9184733.\nAnswer: 19, 483407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 438 + -230. Suppose 4*w + 2*h = x, 3*h + 8 = -h. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g. Let s(z) be the third derivative of z**4\/2 + 15*z**2. Determine -44*j(q) - 4*s(q).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(2\/9)*s*s*(s**(-4)*s)\/s*s\/(s\/s**6)*s**(-2\/9) assuming s is positive.\nAnswer: s**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 157, 850, 1997, 3592, 5629, 8102, 11005?\n\"Answer: -o**3 + 233*o**2 + o - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, 56, 104, 168?\nAnswer: 248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 14256 divided by 216\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, 15, 0.177, 4, 1 in decreasing order.\nAnswer: 15, 4, 1, 0.177, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 10) to base 8.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (30*24\/(-3000))\/((-5)\/((-250)\/(-15)))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-833000)\/(-935))\/(-100) - (3 + 0 + -7)?\nAnswer: -54\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/40)\/((2\/25)\/(71\/52540*-24)).\nAnswer: -6\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8.4166626729 - 2511\nAnswer: -2502.5833373271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 413 + 6115 = 48*s. Calculate the smallest common multiple of s and 1\/(((-2)\/44)\/(-1)).\nAnswer: 1496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a gram in milligrams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 1 + 0 - 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81358733?\nAnswer: 81358733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 79432?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (49*c**3 - 44*c**3 - 26*c**3)*(0*c**2 + 0*c**2 - c**2).\nAnswer: 21*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325)*3 - sqrt(325) - sqrt(117)\/sqrt(144) - ((sqrt(325) - (5 + sqrt(325) + 1 - sqrt(325))) + 5))**2.\nAnswer: 19*sqrt(13)\/2 + 4709\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (2*6*(-2 + (sqrt(200) - ((sqrt(200) + -3)*4 - sqrt(200))) + 1))**2)*-2.\nAnswer: -265242 + 126720*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4470 - -10?\nAnswer: 4480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18\/541105 - -52082979277\/8657680. Let u = c + -6019. What is the common denominator of u and 99\/128?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 46 = -r, -5*k = -16*r + 19*r - 53. Solve -11*x + 16*x - q = -r, 0 = 4*q - 4 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23 - -26. Let f be -3 + (a + -39)\/(-1). Let x = f - 15. Is 9 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3093667 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 1192330 - 5002*o - 1192330. Let l(a) = -2*a**2. What is l(x(z))?\nAnswer: -50040008*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2666*d**6 + 3208*d**2 + 5160*d**6 + 5*d**3 - 2604*d**6 wrt d.\nAnswer: -13200*d**3 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 595 is divided by 51?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/5 and -67\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 2*l**2 + 6 + l - 8 to the form w*l + y*l**2 + f and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 + x. Let j(a) = -75*a + 6*a**2 + 37*a + 41*a. Let w(l) = 2*j(l) + 10*u(l). Factor w(i).\nAnswer: 2*i*(i + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 504\/(-10)*470\/(-282) is divided by 21.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 3. Let x be 4200002 - (0\/3 - d). What is x rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16\/5 - 4\/5*f**2 + 4*f = 0 for f.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -312*w + 285*w + 110 = 2. Let d = -2\/149 - -461\/1043. Which is the smallest value? (a) -4 (b) d (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of -m**7\/300 + m**6\/75 - m**5\/100 - m**4\/30 + m**3\/3 + 2. Let y(r) be the third derivative of s(r). Factor y(n).\nAnswer: -2*(n - 1)**2*(7*n + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.39 - -0.5.\nAnswer: -0.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -4*f - 4. Suppose 2*a = -4*a + 30. Let i(q) = -3*q**2 + 0*q**2 - a + 4*q**2 + 0*q**2 - 5*q. Determine 4*i(y) - 5*m(y).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -36 in -0.7, 3, 0?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 3*s - 5, -6*s = -5*s - 3*f + 5. Calculate the remainder when 39 is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-5)*0\/(1023\/(-33))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 86858424 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of 19\/5*p**5 - 41 - 1\/4*p**4 + 47\/3*p**3 + 0*p**2 + 0*p. Find the third derivative of d(f) wrt f.\nAnswer: 456*f - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 9, -5*t + t = 3*f - 21. Let d = -1 + t. Suppose 0 = -4*p - 2*q - d*q + 36, p = -4*q + 15. Calculate the remainder when 20 is divided by p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - 428?\nAnswer: -42b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 118 + -112 + 0 + -3 - 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5961 + 7522. Is v <= 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.35 + 0.15. Let s = q - -1. Let j = 19 - 18. Which is the closest to j? (a) 3 (b) s (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11441260 divided by 2288252?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2 + 1 + 3 + s**3 - s**2. Let r(u) = -u**2 - 9*u + 10. Let q be r(-10). List the prime factors of n(q).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2200 (base 4) to base 2.\nAnswer: 10100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -94 - -146. Let m be (-39)\/y*((-22)\/24)\/1. Let l = m - 409\/176. Calculate the common denominator of l and -16\/39.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126685220 divided by 31671305?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2020 = 3*c + 2*n, 3*c - 402 - 1633 = -5*n. Let w = -668 + c. Let -3*i**2 - w + 1\/2*i**3 + 9\/2*i = 0. What is i?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-23815)\/(-461175) + (-50)\/1075)\/((-1)\/(-6))?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 - (0 + -1))\/4. What is the nearest to -0.1 in -5\/3, f, 1\/2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pqoofboeeep. Give prob of sequence oe.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + 0 - (4 + -21). What is the greatest common factor of 2 and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36 - y**2 + 0*y**2 + 36 - 9*y to the form i + g*y**2 + w*y and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (4*(sqrt(304) + -2) - sqrt(304)*1*-4))*-3)**2*-1.\nAnswer: -175248 + 2304*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 2 = 2*u, -2*q - 1 = -4*u - 5 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1265576 divided by -4472?\nAnswer: -283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-5 - -3) - (0 + 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 + 33 - 9) + 1 + -6 - 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of 2337*o**7\/7 - 1630*o**3\/3 + 13120. What is the third derivative of z(s) wrt s?\nAnswer: 280440*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3335.798mm in meters?\nAnswer: 3.335798","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*q + 784467*q**3 - 64*q - 784463*q**3.\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 95 = -353. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -34 + -2 + (-17 - -20) - -6.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252) + 4)**2 + 0.\nAnswer: 48*sqrt(7) + 268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7 + 3)*(-2 - (-3)\/3). Suppose -19 = -v*s + s - 2*t, 5*t = 4*s - 33. Which is bigger: 8 or s?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -13*m + 28. Let y = -5 + 10. Suppose 2*r = m*c - 86, -y*r = 4*c - r - 116. What is the remainder when 69 is divided by c?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7195815 to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 742 and 1007?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-6) - -38*1\/6. Solve -v + 4*x = -4, -4*x + 5 = -5*v - m for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -165 - -164.5. Let y = 0 - 1. Which is the biggest value? (a) -1\/5 (b) y (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7*11\/154)\/(-2).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 4464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 39419*n - 666. Is l(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1547 (base 12) to base 11\nAnswer: 1976","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 0 - 5 - -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 84 + -64.3. Let m = r + -2.7. Let d = -16.99999973 + m. What is d rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11663 - 11661. Let z(s) = 5*s + 14. Let x(y) = 36*y + 99. Give q*x(d) - 15*z(d).\nAnswer: -3*d - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 53 + -42. Let c = -134 + 189. What is the highest common factor of c and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r**2 + 51*r - 3*r**2 - 51*r.\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of x**6\/120 - 11*x**5\/60 + 7*x**4\/24 + 49*x**3\/2 - 40*x**2 + x. Determine n, given that j(n) = 0.\nAnswer: -3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 52 = 5*a, -34*a - 4*s - 68 = -39*a. Calculate the highest common factor of a and 10884.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 304 (base 12) to base 6\nAnswer: 2004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of k**4\/3 + 28*k**3\/3 + 98*k**2 - 13*k. Factor q(g).\nAnswer: 4*(g + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1799663 and 2308?\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 82 + (9 - 28) - 5. Solve -72*z + 14 = -f for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of 0 - 2\/15*b**3 + 2\/5*b**2 - 7\/20*b**4 + 1\/15*b**6 + 11\/100*b**5 + 15*b. Find k, given that n(k) = 0.\nAnswer: -2, -1\/2, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6839\/6 - 273311\/240. Calculate the common denominator of d and -53\/20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of -3396*q**2 + 5679*q + 2941. What is the first derivative of h(z) wrt z?\nAnswer: -6792","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + f = 3*b + 3, 3*b - 21 = -3*f. Suppose -b*k = -3 - 5. What is the third derivative of -15 + k*u**2 + 3*u**3 - 2*u**3 + 15 wrt u?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**4 - 1202*h**3 - 3597*h**2 + 4*h + 4796.\nAnswer: -(h - 1)*(h + 2)**2*(h + 1199)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -399*g**3 - 3*g**2 - 3*g - 1. What is the units digit of r(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*h**3*r**2 - 812*h**3*r + 2553*h**2*r**2 - 4*h**2*r + 3*h**2 - 18*h*r**2 + 12*h - 6*r**2 wrt r?\nAnswer: 4*h**3 + 5106*h**2 - 36*h - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of -h**4 - 16*h**3\/3 + 24*h**2 + 36. Solve d(p) = 0 for p.\nAnswer: -6, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j**3 + 6*j**3 - 14*j**3 + (15*j**2 + j**2 + 2*j**2)*(-j + 5*j - j) + 3 + 3*j**3 - 3 to x + n*j + h*j**3 + l*j**2 and give h.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29 + -26. Let i(v) = -v**3 - 9*v**2 - 3*v + 1. Let h = 14 + -19. Let b(n) = -2*n**3 - 17*n**2 - 7*n + 3. Let g(a) = c*b(a) + h*i(a). What is g(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1217?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -133587*j**2 - 1009929*j?\nAnswer: -267174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -5*k**2 + 5*k + 73. Let h(m) = 10*m**2 - 9*m - 146. Let c(y) = 3*h(y) + 5*n(y). What is the first derivative of c(r) wrt r?\nAnswer: 10*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o**3 - 19*o**2 - 10*o - 2. Let q = -19 + 130. Calculate the remainder when q is divided by u(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -87301 or -13357024\/153?\nAnswer: -13357024\/153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 63469, 132202, 200935, 269668, 338401?\nAnswer: 407134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -24*y - 140. Let j be f(-6). Let w be (-2 - 78\/(-9)) + -2. Do j and w have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -q - 4 + 2*q + q**3 - 8*q - 3*q as r*q**2 + f*q + x*q**3 + a and give f.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -304*g + 259*g + 586 = -3149 for g.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 2*x + 5*a, 25 = -661*x + 657*x - 5*a for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 133, 2\/11, -100\/113?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + f + 1 = 4, 5*f + 5 = -5*d. Let g be 7\/77*(d + 1). Which is the nearest to 1? (a) 3 (b) g (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2746*l - 2764*l + 0 + 4.\nAnswer: -18*l + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10205 - -2215240?\nAnswer: 2225445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 171*w + 2754. Does 29 divide z(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 + 7*b**2 + 8*b - 2. Let z be i(8). Let c be z*(36\/24 - (-5)\/(-2)). Solve 4*a = -c + 14 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 533 a factor of 5665790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l, 1 a, and 1 j when four letters picked without replacement from {j: 8, l: 4, a: 5}.\nAnswer: 12\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 2*w + 9. What is the common denominator of (-75)\/12 - w - -1 and 43\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*8\/16 - -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.05968um to centimeters.\nAnswer: 0.000405968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7925 and 2000.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 3042?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmgg when four letters picked without replacement from {m: 9, g: 9}.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 + 20*h + 107. Let r be f(-9). Factor r + 17*y**2 - 15 - 6 - 7 - 15*y**2 + 18*y.\nAnswer: 2*(y - 1)*(y + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.8321 - -7\nAnswer: 8.8321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99) + -4 + sqrt(176)*-6.\nAnswer: -21*sqrt(11) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*g - 78 = -2*g. Let l(m) = m**2. Let h(y) = 7*y**2 - 3. Let i(t) = g*l(t) + h(t). Let b be ((-12)\/9)\/((-1)\/3). Determine i(b).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 7*i**3 + i**2 + 3*i - 1. Let z(w) = w**3 - w**2 - w. Let s(v) = -m(v) - 2*z(v). Let j = 1034532 + -1034531. What is s(j)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -117 by -4087.\nAnswer: 117\/4087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/242 and 35\/88.\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20 - 11. Suppose -13 = 3*i - 119 - 71. Calculate the remainder when i is divided by v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6889.1*-377\nAnswer: 2597190.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8137.9999996587 - -8138. Round o to seven decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, u: 9, s: 1, l: 4, d: 3}. What is prob of picking 1 s, 2 u, and 1 t?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2820 (base 16) in base 8?\nAnswer: 24040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9621447 is divided by 443?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -73 - 1?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)*-2 + 1)**2*4 + 0.\nAnswer: -32*sqrt(17) + 1092","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -3*g + 9. Suppose -102 = -j - 4*d, 535 = 2*j + 3*j - 5*d. Let l = j + -104. Solve 10 = g*a + x, l*a + x - 8 = -0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71 + 83 - 19*i + 21*i + 62.\nAnswer: 2*i + 216","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 240, 479, 718?\n\"Answer: 239*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 6*t + 45 = 0. Let s(l) = l - 136*l**3 + t + 2*l + 135*l**3 - 5*l**2. Let y be s(-6). What is the highest common divisor of 3 and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -11 - (1 + 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 536, 2, 133, 5, -1.\nAnswer: -1, 2, 5, 133, 536","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0074301 rounded to 5 dps?\nAnswer: 0.00743","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**2 - u**3 + u**2 + (-5*u**2 + 3*u**2 - u**2)*(0*u - 4*u + 3*u) + 5*u**3 + u**3 - u**3.\nAnswer: 7*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 7*i + 4*s + 803 = 0, 0 = i + s - 778. What are the prime factors of i?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 145 (b) -1\/2 (c) 1201\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 23255 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -11 - 12*k + 12 + 13*k + 20. Let v(i) = 2*i. What is v(c(y))?\nAnswer: 2*y + 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 3 - 15 = 0. Suppose q - 3 = -0. Suppose -4*h + 22 = 10. Solve 5*l + i = q*k, -6*l - 9 = -h*l for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8432 and 306714.\nAnswer: 1054","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 o when two letters picked without replacement from kwckheoo.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h - 7. Let l be p(-10). Suppose -35 = -5*m + 5*t, 0 = 2*t - 7 - l. Suppose 0 = -3*w + 5*w - 96. What is the greatest common divisor of m and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a*(a*a**(-3\/8))\/a*a*a*a\/a**(1\/2)*a*(a**1)**(-2\/23)*((a*a\/(a\/a**11)*a)\/((a*(a**(-2)*a)\/a*a*a)\/a))**(2\/3) assuming a is positive.\nAnswer: a**(7565\/552)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, b: 1, o: 2, c: 2, m: 1}. What is prob of picking 2 e?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.1496 rounded to 1 decimal place?\nAnswer: -10.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.2 + 0.2. Let l = -0.033 - -0.07. Let k = l + -1.037. What is the nearest to k in 2, a, -6\/11?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.10008? (a) -34 (b) 3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -1186\/4047 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1241?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 + 22. Solve 0 = -b + 12 - h for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -20124 - 7?\nAnswer: -20132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 4387*z - 166665. What is k(38)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 3*v + 7. Let s(u) = -u - 2. Let k(m) = 11*s(m) + 4*w(m). Let b be ((-3)\/6)\/(135\/648*(-4)\/(-10)). Let x be k(b). Solve -5*h = -x*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 83, 81, 79, 77?\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11482 - 3799. What is the thousands digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 186 and 76074?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 45\/4 of a milligram?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -38 + 20. Let t = -9 - q. Is t a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y - 2*y - 23 - 9*y**2 - y - 17*y**2.\nAnswer: -26*y**2 + y - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 86\/(-144) - 44\/(-198). Let z = -0.1 + 0.3. Which is the smallest value? (a) -1 (b) z (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.002 + -0.498. Put m, -0.3, -0.06, 3 in increasing order.\nAnswer: m, -0.3, -0.06, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100780 is divided by 969.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19 - -6 - 4) + 9 + 35 - (12 - -1).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2796 is divided by 400.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*d**3 - 99*d**2 - 1159 wrt d?\nAnswer: 12*d**2 - 198*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -188, -3, -24.\nAnswer: -188, -24, -9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 589088.4 weeks?\nAnswer: 356280664320000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -46376 (base 10) to base 14\nAnswer: -12c88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -1347.11506896?\nAnswer: -1347.11506896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 + 4*r**2 - 4*r + 7. Let u be x(-5). Suppose -2*t = u*t - 12. Suppose t*l = l + 24. 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: 960\/(-56) - 902\/(-287)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/7*k**2 + 44\/7*k - 80\/7.\nAnswer: -2*(k - 20)*(k - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14600, 14592, 14578, 14558, 14532?\nAnswer: 14500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 92257 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 4*h + 17 = -h, 0 = 3*l - 4*h + 13. Let f = 0 - l. Let j be (-82)\/140 + 2\/7. Which is bigger: j or f?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1263*c = 16824 - 48315 - 12714 for c.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1779, 0.5, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -17 - -122?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*g*j**4 - 2518*g*j**3 - 2*g*j + 354*g + 5*j wrt j.\nAnswer: -36*g*j**2 - 15108*g*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1065077 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 5*p**2 - 9*p - 1. What is j(-2)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 7 + 53)*(-72*r - 28*r + 45*r - 85*r).\nAnswer: -7700*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -11 + (7 + -1 - 11).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55278, -55562, -55846, -56130, -56414?\nAnswer: -56698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 361028 divided by 6?\nAnswer: 180514\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(720)*-2)\/(-3*sqrt(225) + sqrt(225) + sqrt(225)) - (2*sqrt(1800))\/(sqrt(10) - (sqrt(10) - -1*sqrt(10))*-1))**2.\nAnswer: 144\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 5*g**3 - g**2 + g - 1. Let r be u(1). Suppose k + 0 = 5. Solve 0 = -r*j - j - k for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2 - -4508) + 36\/(9 + 3).\nAnswer: 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 706 + -700. Suppose -i*p + 8500 = 1618. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18044984*q**4 - 8725*q**2 + 5111 wrt q.\nAnswer: 433079616*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -5 + -1 + (-2 - -2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 1347*k + 279 = 1401*k, -4*k = 4*u - 184 for u.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n**3 - 3*n**2 - 3*n - 1. Suppose 2*m = -2 - 2. Give z(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 2*q = 14, -3*c - 2 = -2*q + 2. Let n be (-1)\/(33\/18 + -2). Let j be (0 + 0)\/(-1)*-1. Solve j = -3*o + 6*o - c*w - n, -2 = -o - 3*w for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 750647 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31554.99g to micrograms.\nAnswer: 31554990000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 9480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 484965 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 - 21*p**2 + 96*p + 2724. Determine u(-18).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - -5. Let a be (u\/3*-3)\/1. Sort 5, -1, a in ascending order.\nAnswer: -1, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12\/(-9)*11\/2. Let y = 1981\/3 - 667. Let c = a - y. What is the third smallest value in c, 1, 0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3317 divided by -2?\nAnswer: 3317\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(1 + sqrt(396)))**2 - 2*(sqrt(77)*1)\/sqrt(7).\nAnswer: 190*sqrt(11) + 6352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 + c**2 + 2. Let g be n(2). Let o(b) = -g*b - 18*b + 26*b. Let w(y) = -5*y**2. Give w(o(z)).\nAnswer: -180*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 90\/1665 - (-640)\/(-4995). Which is the third biggest value? (a) 5 (b) -5 (c) 2\/13 (d) -1\/25 (e) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 58.109 + 0.691. Let o = q - 60. Is o at most as big as -0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 2*k - 27, z + 3*k = 3*z - 59. Suppose -34*i = -z*i. Suppose 7 = -12*y + 55. Solve y*v - 6 - 6 = i for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 5*m**2 + 12)*(4 + 6 + 4)*(2*m**3 - 5*m**3 - 12*m**3).\nAnswer: -1050*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288) + 2)*2 + -1.\nAnswer: 3 + 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 2*s = -g - 15, 3*s = -3*g + 9. Suppose 9 = -0*p + g*p. Suppose 13 - 94 = -3*f - 3*w, 106 = p*f - 2*w. Is f a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5987 + -101522302.4.\nAnswer: -101516315.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 - 8*c**2 + 2. Let u be o(-8). Let q = 20 - u. Suppose 2*m = 4*m - 40. What is the least common multiple of q and m?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 4*z - 42438687. Let c = z + -9646229. What is c rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tb when two letters picked without replacement from {i: 2, p: 1, b: 1, a: 1, t: 2, s: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*c = -74*c - 48 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-110)\/(-4))\/((-25531)\/(-78914)).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11136)\/(-9744))\/(240\/147).\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 350 minutes after 1:40 AM?\nAnswer: 7:30 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is (234\/12)\/13*(-8)\/6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58538.\nAnswer: 2, 29269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y. Let q(p) = p**3 + 4*p**2 - 12*p + 2. Let j be q(-6). Let c(a) = -10*a**2 + 2*a**2 + 2*a + 5*a**j. What is m(c(h))?\nAnswer: 3*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 110058863*-5.\nAnswer: -550294315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*c + 5*c + 15*c**4 + (-2*c**4 + c**2 - c**2)*(-1 + 5 - 3).\nAnswer: 13*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40 and 7920?\nAnswer: 7920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50175 is divided by 609?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189674844 is divided by 58?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-4)\/(-35))\/((-118)\/(-413)) + -1)*16\/(-1704)?\nAnswer: 2\/355","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 + 2*n + 4. Let s be y(0). Let t be 0 + 1 - 3439997 - s. Round t to the nearest 100000.\nAnswer: -3400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8931 to the nearest 100.\nAnswer: -8900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1152) + (sqrt(32)\/sqrt(4))\/sqrt(4) + sqrt(2))**2.\nAnswer: 1352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 93801 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 90821375?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-3)\/g)\/(g\/(g**6*g)))**(-9\/2))**23 assuming g is positive.\nAnswer: g**(-207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.88 + -0.919. Let c = f + 22.039. Let u = 21.9999955 - c. What is u rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/2 + 6*p.\nAnswer: p*(p + 12)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 2865918?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4227012?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240*v + 66645 = 245*v. Suppose 0 = -n + 10*n - v. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 746 + -767.45. Round x to 0 decimal places.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 + 4*g**2 + 2*g - 4. Let k be c(4). Let v = 8 - k. Suppose 4*q - 48 = -5*d + 22, -5*d = q - 55. Solve b = -v*b - d for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, -1760940, -11 in ascending order.\nAnswer: -1760940, -11, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100110 - -10111011111101001?\nAnswer: 10111100000001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-3)\/(-15) - 72\/(-15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 + 0.4. Which is the second smallest value? (a) v (b) 0.5 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**4 - m**4 + 5*m**4)*(1 - m - 1) - 17*m**5 + 3*m**5 - 21*m**5 + 4*m**5.\nAnswer: -33*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 5*o + 84, 10*o - 476 = -9*b + 8*o. Calculate the greatest common divisor of b and 46.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 272024015?\nAnswer: 5, 47, 607, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -14290, 0.0263, 1 in decreasing order.\nAnswer: 1, 0.0263, -14290","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -927 + 942. Solve 4*f + 23 - q = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 7474611, 7474614, 7474617, 7474620?\n\"Answer: 3*h + 7474608","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 4, 0.1, -0.5, -183, 5.49?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + (sqrt(117) + (sqrt(117) + 1 + sqrt(117) - sqrt(117)) - sqrt(117))*5)**2 - (sqrt(234)\/(sqrt(144) + sqrt(9)))\/(sqrt(200)*-2))*4.\nAnswer: 9001*sqrt(13)\/25 + 11736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 53*r**3 + 8*r**2 - 32*r + 1153. Let d(v) = -35*v**3 - 5*v**2 + 20*v - 768. Calculate -8*d(j) - 5*w(j).\nAnswer: 15*j**3 + 379","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.3 and -7.09?\nAnswer: 7.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, h: 1, j: 1, w: 11, v: 1, k: 1}. Give prob of sequence mvhj.\nAnswer: 1\/43680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a week in seconds?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 55 + -55. Suppose 2*l = 3*q - 757, 5*l + 512 = 2*q - u*q. List the prime factors of q.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -41 + (453 - 259) + -159?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(828\/230)*5*7\/(70\/(-12)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/10 + (-4622)\/760. Let v = 88\/19 + w. Calculate the common denominator of v and 79\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 112723.31, 0.5, 0.3 in descending order.\nAnswer: 112723.31, 0.5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 42923507 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 25449697 a multiple of 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 222 and 4033.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 5, i: 5}. What is prob of sequence ooi?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cq when two letters picked without replacement from hkqkkkhcykchhhknqh.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -3*j + 40. Let y = 122 - 99. Calculate the remainder when i(0) is divided by y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p + 4*p - 7*p)*(5*p**2 + 25*p**2 - 13*p**2) - 28*p**3 + 72 - 72.\nAnswer: -147*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 - -10. Let l(c) = 3*c**2 - 4. Let z be l(a). Suppose 10*v + z = 11*v. List the prime factors of v.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 101 or 4.1?\nAnswer: 4.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 498196913?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 3*r = 1, 0 = -3*d + d + 5*r - 3. Let j(w) = w**2 + w - 1. What is j(d)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-2*sqrt(110) - sqrt(110))*5)\/(2*sqrt(250)).\nAnswer: -15*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.2 or 3200?\nAnswer: 3200","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 + 5)\/(19 + -9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4520 is divided by 460.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 16 + 56. Let y(l) = -l**3 + 7*l**2 + 9*l + 1. Let b be y(z). Let n(c) = 9*c + 21. Does 15 divide n(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 26 + 234 = 0. Which is bigger: q or 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -67 + 82. Suppose 3*s - 12 = a. Differentiate -439*b**3 + s + 3*b**4 + 439*b**3 with respect to b.\nAnswer: 12*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.097843 rounded to 4 dps?\nAnswer: -0.0978","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1905 is divided by 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(567) - (sqrt(567) + -2) - sqrt(567)) + (sqrt(567) - (-2 + sqrt(567)))).\nAnswer: -4 + 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 6, a: 2, p: 4, n: 3, b: 2}. Give prob of picking 1 a and 1 n.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**3 + 5*o - 5*o)*(23 - 23 - 6*o**2) + (-3 + 0 + 7)*(2*o**5 - 4*o**5 + 4*o**5).\nAnswer: -4*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -8314802220 to the nearest one million.\nAnswer: -8315000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -365*j + 362*j - 28 = 5*z, z + 24 = 4*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/36 and -1\/366.\nAnswer: 2196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 432 - 438. Let z(y) = y - 6. Let f be z(11). Put i, 3, f, 1 in increasing order.\nAnswer: i, 1, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -748 + 753. Let y = 0.93 + 0.07. What is the smallest value in -1\/9, y, q?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 12:33 PM?\nAnswer: 12:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - (-2 + 9 + -3)) + -16?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 5. Let w = 415 + -148. Suppose -4*u = -5*j + w, 4*j + c*u = 3*j + 59. Is j a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 69174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -41 + 40.44. Let a = o + 0.559999441. Round a to 7 dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1520630429 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1602 (b) -0.2 (c) 9 (d) 1\/4 (e) 0.06 (f) 0.3 (g) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -21. What is the greatest common factor of l and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u + 2. Let r be n(0). Let q be (-5)\/10*1*r. Let o be 5 + (q - (-2 + 1)). Solve -3*t = o*x - 3, -2*t + x + 2 = 2*x for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 + 9*a**2 + 157*a + 1662. Determine v(-10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 9 = -2*t, -2*r + 2*t - 4 = 4. Let m be 20\/(-15)*(r - 0) - -2. Factor 0*p**2 - m*p**3 + 0 + 2\/3*p.\nAnswer: -2*p*(p - 1)*(p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1075 by -215.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 29565950927 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -0.2, -4\/5, -3, -4.4, -3.25?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13661*x**3\/4 - 40971*x**2\/4 - 9*x = 0.\nAnswer: -12\/13661, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21 - (-416)\/(-13))*(4 + -9)*(-3)\/15?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sjmjmjjmjssmsjmj. What is prob of sequence mj?\nAnswer: 7\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 31561*j - 63113*j - 423*j**2 + 31552*j. Let m(u) = u**2. Give g(m(l)).\nAnswer: -423*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 139913 and 181?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23 + -57.1. Round y to the nearest integer.\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.675 + 1.524. What is j rounded to 1 decimal place?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 107 = 2*y, -s - 113 = -3*y - 2. Let c = 159 + s. Calculate the highest common factor of 40 and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 6.4. Let u = -0.6 - k. Which is the closest to u? (a) 5 (b) 1\/2 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -u**3*w**2 - 2*u**3*w + 8156*u**2*w + 677*u*w**2 - 2*w**2 wrt w?\nAnswer: -2*u**3 + 1354*u - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10054201195\/3492 + -2879210. Calculate the common denominator of 121\/1164 and l.\nAnswer: 3492","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -22*t - 13*t + 17*t - 26*t. Let i(j) = -j**3 + 9*j**2 - 11*j - 7. Let n be i(5). Let b(m) = -39*m + n*m + 7 - 7. Determine f(b(l)).\nAnswer: 44*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-165)\/3)\/(3 - 2). Let b = x + 79. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 + x**2 + x. Let n be a(0). Let b(f) = -f**3 + 10*f**2 - 9*f + 1. Let w be b(9). Suppose w = -3*k - 2. Put k, 2, n in descending order.\nAnswer: 2, n, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 0.1, 1\/5, -1, -10107, 1.\nAnswer: -10107, -1, 0, 0.1, 1\/5, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1251249 is divided by 175.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-10) + (-14)\/(-10)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/3, -2, 64?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**(-3)\/k)*k)**43*k**(-9)\/(k*k\/(k*k**7*k*k*k)) assuming k is positive.\nAnswer: k**258","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*m - 14*m - 116. Is 30 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5390457 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - f + 246, 2 = f + 6. Let t = 54 + l. Suppose t*o + 6*y - 5*y = 7, y + 5 = 0. Solve -o*w = -w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 2 = -4. Suppose t + 2 = r*t. Calculate the common denominator of -23\/9 and 598\/(-24) + t\/4.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qryyq. What is prob of picking 1 q, 1 r, and 2 y?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.261? (a) -396 (b) 0.2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 44 - 24. Suppose -y = -z + 6*z + 10, 0 = 2*y - z - 2. Suppose 0 = 5*n, -3*l + 0*n + n + 9 = y. Solve -f = l*h + h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -77 (base 8) in base 2?\nAnswer: -111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((-5*sqrt(156) - sqrt(156))*3)\/(sqrt(108)*2)*-5)**2.\nAnswer: 105300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 7*h**4 + 33*h**3 + 5*h**2 + 5*h - 37. Let k(j) = 6*j**4 + 33*j**3 + 4*j**2 + 4*j - 37. Let p(x) = -5*k(x) + 4*r(x). Differentiate p(c) wrt c.\nAnswer: -8*c**3 - 99*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.24 - 1.24. Suppose 0*d + 2 = -s - d, -2*s + d - 7 = 0. Which is the smallest value? (a) s (b) v (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -7*l**3 + l**2 - l - 1. Let j be z(-1). Let n = -5 + j. What is the third derivative of q**2 + 0*q**2 + q**4 - n*q**4 wrt q?\nAnswer: -48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -37, -67, -93, -115, -133, -147, -157?\n\"Answer: 2*l**2 - 36*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19209*o - 32483 - 313279 for o.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 4*x + 430 = 0. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -18664.5779 to the nearest integer.\nAnswer: -18665","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 - 20\/6) + 16\/3. Suppose -z*n - 465 = -5*d, 14 = -3*n + 2. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j**3 + 77*j**2 + 3*j + 3. Let i(q) = 6*q**3 + 230*q**2 + 8*q + 8. Determine -3*i(x) + 8*z(x).\nAnswer: -2*x**3 - 74*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 59 + 1 - (1 - 2). Suppose -3*v - 4 = -q. List the prime factors of v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 161\/(-5)*-2 - (-4)\/(-10). Let k be 4 + -84*(-1 + -2). What is the greatest common factor of k and o?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 129 - 52. Let t = y + -77. Suppose -28*b + 29*b - 16 = t. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 72 - -4. Let n = 720 - 717. Is n\/(-3 + 234\/w) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5 + -20)*1\/(-3). Suppose -f*v + 17 = -2*t + 85, -124 = -3*t + 2*v. Is t a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 60 - 56. Suppose 5*q - 3*y - 12 = 0, 0*q - 5*q + d = -y. Solve v + q - 12 = -4*m, 2*v - 2 = 3*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 125162020*d*x + 241*d - 319 with respect to x.\nAnswer: 125162020*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*b = 19*b - 3*y + 108, 18*y + 94 = 2*b + 23*y for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -1. Let g be (-14)\/(-6) + 38\/(-6) + 7. Let t = g + d. Solve 7*n = t*n - 15 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*t**4 - 2*t**4 + t**4 + (12*t**4 - 36*t**4 - 11*t**4)*(-3 + 2 + 2) to the form o*t**2 + v*t + j + r*t**3 + a*t**4 and give a.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -564*x + 58*x - 36828 = 107*x + 69*x for x.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142*n + 0*b - 18 = -145*n - 6*b, 5*b = -2*n + 12 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -526 + 526. Solve 0 = -3*t - 3*i + 7 + 5, d = -2*t + 2*i + 12 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -9*k**3 - 2*k**2 + k + 10. Let l be c(-9). Round l to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-5)\/30*-6)\/(0 + 1). Let l be ((-3)\/(-1) - 1)*(2 + w). Let p be 4\/12 - (-118)\/l. What is the greatest common divisor of 140 and p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 PM and 8:55 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19769718*r**2 + 9086*r - 17958?\nAnswer: -39539436","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -4 + 0 + 3*p - 2*p. Let n be g(6). Suppose 0 = -4*o + n + 10. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 34*q**2 + 35*q**2 - 5*q - 69*q**2 + 4*q + 13 + 2*q**3 in the form x*q + t + n*q**2 + v*q**3 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-1419)\/602 - 1\/7)\/((-3)\/(-6))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -133*b - 139*b - 210*b + 631*b - 141*b.\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7\/6 + -19\/18. Which is the nearest to -2? (a) 1 (b) 0 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*p - 2 + 2)*(1 - 1 - 1) + 0*p + p - 2*p - 2*p + 6*p + 5*p - 4 + 2 - 41*p + 37*p to h*p + i and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 48, 112, 218, 360, 532?\n\"Answer: -q**3 + 27*q**2 - 10*q + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 136*c**3 + c**2 + 6*c + 3. Let g(v) = v**3 - 3*v. Let q(a) = b(a) + 2*g(a). What is the third derivative of q(n) wrt n?\nAnswer: 828","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*n + 10 = n - 2 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.9, 4, 3\/4, 0.1, -2 in descending order.\nAnswer: 4, 3\/4, 0.1, -2, -2.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-36)\/18)\/((-7)\/28). Solve 4 = 3*c - 3*i - z, 2*c - i = 7 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(187)*-2 + sqrt(187))*6)\/(1*sqrt(704) - ((sqrt(1100) + 2*sqrt(1100) - sqrt(1100)) + sqrt(11))))**2.\nAnswer: 22032\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 31325 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 205054579 + -0.11.\nAnswer: 205054578.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 57, -0.2, 111, 1\/6, 3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -583, -2834, -7467, -15202, -26759, -42858?\n\"Answer: -120*j**3 - 471*j**2 + 2*j + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 275 is divided by 71.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kw when two letters picked without replacement from kkkkwkkkkkw?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -656 + 1308 - 652 - 3*h**3.\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 1536 = 19*q + 15*q for q.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (h**2 + 0 + 0)*((-h + 5*h - 2*h)*(-475 + 84*h + 475) - 5*h + 5*h - h**2) to y*h + j*h**3 + n + c*h**2 + v*h**4 and give v.\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q**3 + q - 10*q**4 + 16*q**4 + 0 - 2 - 7*q**4 + 2*q**4 + 224*q**2 to the form z + k*q + n*q**3 + m*q**4 + u*q**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.09 and -10984.\nAnswer: -10983.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 3:42 PM?\nAnswer: 5:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + 0*g + 4*g)*(-3 + 2 + 2)*(-142 + 2258 - 199).\nAnswer: 1917*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 + 7*k**2 + 3*k + 4. Let a be i(-6). Let d = a + -8. 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: Two letters picked without replacement from kkxxkx. Give prob of sequence kx.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 + m + 1. Let p(d) = -35*d**2 - 8*d + 3. Let v(q) = p(q) - 3*r(q). What is the second derivative of v(u) wrt u?\nAnswer: -64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15201?\nAnswer: 3, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2905 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q - 2*q + 2*q)*(-3*q + 3*q - q**2)*(3 + 3 - 5)*(10*q + 29*q + 7*q).\nAnswer: 46*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -17*w**4 - 5*w**2 - 9*w. Let z be ((-8)\/(-4))\/(2\/4). Let t(j) = -j**4 + j**2 + j. Let a(f) = z*t(f) + c(f). Find the second derivative of a(k) wrt k.\nAnswer: -252*k**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 20 - 8 + 3*q**2 - 13 - 4. Let l(g) = -g. What is l(w(d))?\nAnswer: -3*d**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2154*b**3*m - 16*b**2*m**2 - 1993*m**2 + m - 19 wrt b?\nAnswer: 6462*b**2*m - 32*b*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f - 4 = -7*f. Let j be (-4)\/(-6)*-3 - -2. Suppose j*t + 2 = t. Solve k + t = l, -2*l - 7 - 7 = f*k for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1002112122120 (base 3) to base 12\nAnswer: -240613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 2)*((-1 + 2 + 1)*(-2*a - 2*a + 5*a) - 5*a + 0*a + 4*a - 2*a + 5*a - a + (0 + 0 + 2)*(0*a - a - 3*a)).\nAnswer: -10*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 13*x**2 - 12*x + 30. Let z(t) = 12*t**2 - 10*t + 25. Let c(g) = -5*a(g) + 6*z(g). Let f(u) = -19*u + 6. Calculate c(f(v)).\nAnswer: 2527*v**2 - 1596*v + 252","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + -5042520?\nAnswer: -5042523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -700 + 11902\/17. Sort 3, w, 0.04, 9 in descending order.\nAnswer: 9, 3, w, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1))**15\/(j\/j**(-5\/3)*j*j**(-6))*(j**(-1\/2)*j\/((j\/(j\/j**(-1\/4)*j))\/j))**(-38) assuming j is positive.\nAnswer: j**(-703\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**2 + 0 + 0)*(2*z - z**3 - 2*z + (-2 + 2 + 2*z)*(0*z + 0*z - z**2) - 2*z**3 + z**3 + 3*z**3 - 45*z**3 + 189*z**2 - 189*z**2).\nAnswer: 46*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m**4 + 3*m**3 - 27*m**2 + 33*m - 12 = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 4*q + 43, 0 = -3*s - 0 + 9. Let m(f) = -f**3 - 10*f**2 + 10. Let l be m(q). Solve 0 = -2*v - 0 + l for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of -13*c**5\/5 + c**4\/6 - c**3\/2 + 22*c + 50. Let w(g) be the first derivative of h(g). Find the third derivative of w(i) wrt i.\nAnswer: -312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 0.5, -63, 4.455?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of -l**8\/1120 + l**5\/30 - l**4\/24 - 13*l**2. Let z(v) be the second derivative of m(v). Differentiate z(a) wrt a.\nAnswer: -18*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 8\/47 and 1\/4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 2*x**2 - 14*x + 20 = 0?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.92 + 0.08. Let v be (-24)\/(-11) - 6\/3. Which is the closest to -1\/4? (a) l (b) -2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3589*t + 1968 = -3613*t for t.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 34263\/162*(-46)\/(-207)\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(3\/2)*c**(1\/10))**(-31) assuming c is positive.\nAnswer: c**(-248\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2)*(2*f - 3*f + 0*f)*(-34 + 3 + 2).\nAnswer: -58*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113886 is divided by 137?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/7)\/r**(-1\/2))\/((r*r**(-2\/11)\/r)\/(r\/(r**(2\/19)*r))) assuming r is positive.\nAnswer: r**(2105\/2926)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-14)*(-26)\/4*(-1036)\/1924\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -46455 divided by -57\nAnswer: 815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -1 - (-6)\/8*4 - (40 + -28)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*6*(6*((sqrt(220)\/sqrt(4) + sqrt(55))\/sqrt(5) + 0)**2 + (-4*2*sqrt(121) + sqrt(121))\/(sqrt(176)*-2)).\nAnswer: 21*sqrt(11)\/2 + 3168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1239509.\nAnswer: 1239509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -3*y - 161 + 147, -20 = 5*y. Let w*t - 13\/6*t**2 + t**3 - 1\/6*t**4 - 2\/3 = 0. What is t?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -11*p - 16. Let c(l) = 43*l + 65. Let w(j) = -6*c(j) - 26*t(j). What is the first derivative of w(r) wrt r?\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-16))\/((-23)\/(-920))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 2 - 6. Let y be 12\/16 - o\/(-4). Sort -2, y, -3 in descending order.\nAnswer: y, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, d: 4, f: 1, g: 2}. Give prob of picking 2 v.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2130771205?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -1754455.\nAnswer: -5263365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (-3 + 32 + -10)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 3 = 3*g - 4, -4*i - 4 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*x + 3*x**3 - 30*x + 73*x + 4*x**3 to the form p + d*x**2 + k*x + c*x**3 and give c.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (196416\/384)\/(-341)*19*(-2)\/(-1)\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/55*-2*6\/(-24).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -159998*c*n - 21*c + 2240 wrt n?\nAnswer: -159998*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(2\/(-12))\/(12\/8).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 79210 - -53\nAnswer: 79263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -123 - -128. Let l = -0.17 + -4.83. What is the nearest to 0.2 in z, l, -6?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**6*f*f\/(f*f\/(f*f\/(f*f**5)*f))*(f\/(f**(-1)\/f))**43 assuming f is positive.\nAnswer: f**132","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 22*h - 908627 = 18*h, -4*t + 5*h + 3634487 = 0. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 0 - 2 + 3. Let f(r) = 3*r**2 - r - 5. Let m(s) = f(s) + 5*k(s). What is the second derivative of m(l) wrt l?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**4 + 39638*h**3 + 196376556*h**2 - 196495480*h - 392832400 = 0 for h.\nAnswer: -9910, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 86 - -99. Let x = 185.6 - h. Which is the nearest to -0.1? (a) -0.2 (b) -5 (c) -0.1 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 11:04 AM?\nAnswer: 7:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 687 divide 325638?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/7562807 and -73\/16905098.\nAnswer: 287386666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -31 or 93256?\nAnswer: 93256","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2470 and 91784706?\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/82100 and -117\/82100?\nAnswer: 82100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5*(-35)\/(-50)*16\/84. What is the closest to w in 1\/5, 5, 4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 108*k - 121. What is the remainder when l(2) is divided by 26?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/9904 and 103\/20.\nAnswer: 49520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -12901 at most -554691\/43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of -j**5\/60 - 2*j**2 - j. Let w(v) be the first derivative of i(v). Let o(s) = 2*s**2. Calculate -o(b) - w(b).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -10210010220 (base 3) to base 6\nAnswer: -1332423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1\/2)*n**(-4))\/(n**(-2\/9)\/(n*n**(-1\/4)*n)))\/((n\/(n**2\/n))**(-21\/8))**(-38) assuming n is positive.\nAnswer: n**(-91\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107185?\nAnswer: 5, 13, 17, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**(2\/11)\/d)*d*d*d*d*d**9*d*d)\/(d**(2\/7)*d**(-5\/8)) assuming d is positive.\nAnswer: d**(10569\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 - 12*s**2 - 11*s + 12. Let k be (1\/3)\/(19\/969). Let z = 6 - k. Calculate the remainder when 81 is divided by y(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 3*u**2 - u - 1. Suppose -2*r - 3*r = -335. Let h = -70 + r. Determine z(h).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01101358 to three decimal places.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/2 and 151\/5274.\nAnswer: 5274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1017605, 2035113, 3052621?\nAnswer: 4070129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*q - 54*q - 342 = 0 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 3*u + 31 = 1, -4*l = -u - 30. Let d = 15 + -7. Let g = d + l. Solve -2*z + g = -5*i - 8, -3*z = -6 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 PM and 12:23 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*x = 24*x + 385. What is the remainder when x is divided by 39?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/3*-6 + 4. Suppose -3*i + 8*i - 10 = a. Solve -3*v = -i + 8 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -954 - -955. Which is the nearest to 53? (a) 0 (b) p (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(3 + -4) + -99. Let h = -68 - p. Suppose -f = -14 - h. List the prime factors of f.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -8*q - 9. Give k(5).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10554534 to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 71*j + 647 - 95*j + 23*j + 478 in the form v*j + u and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 1322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 1 - 9. Suppose 2*g - 4 = 3*g, w*r = -3*g + 12. Suppose 3*u - r*u - 15 = -5*v, 0 = 2*u - 5*v + 15. Let z(n) = n**3 + n + 3. Give z(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -280 = 404*y - 474*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 11 + -15 - -30?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 - 264*s + 12563. Determine w(61).\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -6*y**3 + 3*y + 2. Let m(l) = 2*l**2 - l**2 - 2 - 4*l + 7*l**3 - l**2. Let x(z) = 4*k(z) + 3*m(z). What is the first derivative of x(t) wrt t?\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 0*s = 0. Let t = 212.7 + -207.7. Sort s, t, 3 in ascending order.\nAnswer: s, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbffbf. What is prob of picking 3 f and 1 b?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = -0*j - j - 6, -m + 8 = 2*j for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20 - 165. Let l = n + 144. Which is the third smallest value? (a) 2 (b) l (c) 0 (d) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = -3*m - l - 7, -5*l = 4*m - 44. Factor -m*z**2 + 4*z**3 - 8*z**4 + 2*z - 6*z - 24*z**3.\nAnswer: -4*z*(z + 1)**2*(2*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 400688693 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 2*b + 17 - 103 = -12*b + 3*g, -22*g = -2*b - 28 for b.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51, 99, 147, 195?\nAnswer: 243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 346\/1557 + (-4)\/90*563. Let h = m - -25. Find k, given that h*k**2 - 1\/5*k**4 + 1\/5*k + 0 - 1\/5*k**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 25\/4 of a centimeter?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -288\/3751?\nAnswer: -288\/3751","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -4*g**4 + 6*g**3 + 4*g**2 - 6*g - 2. Let p(m) = -m**3 + m - 1. Let r(x) = c(x) - 2*p(x). Suppose r(f) = 0. Calculate f.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -197, 967, 2931, 5695, 9259, 13623?\n\"Answer: 400*p**2 - 36*p - 561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 43*g - 51*g + 720. What are the prime factors of (g - -602) + (-10)\/(-1 - 1)?\nAnswer: 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 372 is divided by 145.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -63013708 rounded to the nearest one million?\nAnswer: -63000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1832 + -177. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of c**9\/241920 + c**8\/80640 - c**7\/20160 - c**6\/2880 + c**5\/15 - c**2. Let h(f) be the third derivative of o(f). Factor h(i).\nAnswer: (i - 1)*(i + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -116 + 886. 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 b be (2\/(-6))\/1*-33. Suppose -18 = -o - 5*t, -b = 2*t - 5. What is the remainder when 64 is divided by o?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2647862 * -1.\nAnswer: -2647862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -175*w**3 + 1090*w**3 - 164*w**3 - 162*w**3 - 162*w**3 - 416*w**3.\nAnswer: 11*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*c + 49*c - 11*c - 2 - c + 2 + 2 + 2*c - 2 + (-5*c + 6*c - 3*c)*(-3 + 1 + 1) - 3*c + 0*c + 2*c)*(-5 - 1 - 7).\nAnswer: -793*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t - 1. Suppose -5*j = -3*x + 36, 0 = 4*x + x - 2*j - 60. Suppose 4*y - x = y. Suppose -h + r = -2*h, -y*h + 6 = r. Determine n(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 120116 - 120115.7. Let l = 0 - -2. Sort q, 4, -0.5, l in descending order.\nAnswer: 4, l, q, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115 = 5*p + 85. Let u be 16\/p - (-8)\/170. Which is greater: u or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10969?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 45972755 and 229863772\/5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1343044003 (base 5) in base 3?\nAnswer: 20120011210011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5444 + 207?\nAnswer: 5653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 9796900 rounded to the nearest 100000?\nAnswer: 9800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - -110100121210011220?\nAnswer: 110100121210011202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-6) + (-1255)\/1740. Let v = -4\/29 - n. Factor 3\/4*b**2 + v*b + 0.\nAnswer: b*(3*b + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k + 10. Let l be t(9). What are the prime factors of (l - -14) + 6\/3?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v. Let f(k) = k. Let g(i) = 4*f(i) - 5*y(i). Let p(n) = -9*n. Calculate p(g(c)).\nAnswer: 9*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 18. Let h = 28 - c. Is h a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w - 30. Give l(-20).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 238528737 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -19 - (167 - 158)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -168891\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*d + 1254 = 16*d for d.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 119006453 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 - -3154\nAnswer: 3154.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 5*i**2 + 3*i + 3. Suppose -q - 3*t - 4 = 0, 2*t = 3*q - 0 + 1. What is the units digit of o(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -208771 divided by -30.\nAnswer: 208771\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.2293 * 0.05\nAnswer: 0.011465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2094 - 13*p**2 + 0*p + 0*p + 2091 - 4181.\nAnswer: -13*p**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 4*f**3 + 2*f**2 - 15*f + 10. Let p(r) = -5*r**3 - 2*r**2 + 14*r - 9. Let k(m) = 3*p(m) + 2*y(m). Is k(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1078 is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/2 in -2\/15, 0.2, -5, 73262?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.7688 - 0.75168. What is v rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 186 (b) -1 (c) -5 (d) -84 (e) -0.04\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-42)*(-6)\/(-9)*-3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 23056706 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssg when three letters picked without replacement from {s: 2, g: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**4. Let c(y) = 3*y**4 + 4*y**2. Let a(v) = c(v) - 6*g(v). Find the third derivative of a(j) wrt j.\nAnswer: -72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -87155855*p - 49496091 wrt p?\nAnswer: -87155855","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 3.6833469?\nAnswer: 1.47333876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -9*j**2 + j - 3. Let n be r(-2). Let x be 0 - 3\/((-6)\/(-14)). Let w = x - n. What is the remainder when w is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2086\/18265?\nAnswer: 2086\/18265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 4*i + 11 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 156 + -161. What is the second biggest value in -0.3, i, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from ccnnnnncnncnnn?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 - 15*p - 34. Suppose -9 = 3*b, 5*w - 17*b + 13*b - 102 = 0. Let s be v(w). Solve -s = 2*f + 2*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 747371.\nAnswer: -2242113","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 + 12*a**2 + a + 13. Let h be u(-12). Let q be 1099\/7 + 0 + h. Let t = q + -1104\/7. Which is greater: t or -7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1947047?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/14, 3\/20, -0.9, 0.03 in decreasing order.\nAnswer: 3\/14, 3\/20, 0.03, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101 + -1010211?\nAnswer: -1010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3232, -0.1, 0.09, 3, 1\/5, -3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*r + 27 = -23*r. Let z(s) = -4*s - 1. Suppose 5*b = -3*a - 21, -3*a - 3*b = -2*b + 9. Let q(f) = -17*f - 4. What is a*q(x) + r*z(x)?\nAnswer: -2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 4*m - 1. Suppose -5*q + 40 = v, -v - 1 = q + v. Let p be (-2)\/4 + ((-2142)\/(-28))\/q. Solve m*l + 15 = p*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 230\/87?\nAnswer: 230\/87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 165081408 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 900 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 + 4 + -2 + 33\/15. What is the nearest to b in 2\/5, 1, -0.4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -7 (c) -2 (d) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155 - 148 + 303 = 453*a + 47*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -306 = 89*h - 60*h - 16 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 499421916?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/180 and 53\/30?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1700562691?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 4*v - 7*v = 27, -5*v - 13 = -i. Solve -4*w + 2*t + i = 0, -w + 4 - 3 = -t for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -10, -7, -615, 1, 0.\nAnswer: -615, -10, -7, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000014352 to 6 dps.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n**2 + n - 81912. Let q(l) = 2*l**2. Give t(q(p)).\nAnswer: -8*p**4 + 2*p**2 - 81912","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.3 - -1.3. Sort -8, g, -3 in descending order.\nAnswer: g, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 37 - 35. Suppose -m - m + 5*x = 2, 6 = r*m - x. Let i be (-92)\/115*(-30)\/m. Solve 3*q - i = -0*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1041?\nAnswer: 3, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/2 - (-987)\/14. Suppose -2*f + 169 + i = 0. What are the prime factors of (2\/6)\/(10\/f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -1 - 9*z**2 - 4 - z**3 - 6 - 10*z. Let h be b(-8). Sort h, -2, -4 in descending order.\nAnswer: h, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18277137 and 3?\nAnswer: 18277137","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0268998514 to 6 decimal places.\nAnswer: 0.0269","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8504 - 333. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**3 - 2*y**3 - 2*y**4)*((-3 - 2 + 3)*(2 + 0 - 3) + 3 + 1 + 1)*(6 - 4 - 1) + (-3 - 2*y + 3)*(-3 - 2*y**3 + 3) + y**4 - 2*y + 2*y.\nAnswer: -9*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170)*-1 - sqrt(170))*-1*1*3)\/((sqrt(20) + sqrt(180)\/sqrt(36))\/(1*sqrt(128))).\nAnswer: 32*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1398 and 58977426.\nAnswer: 1398","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}