diff --git "a/data/dm_maths/full_data/1862_11255.jsonl" "b/data/dm_maths/full_data/1862_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1862_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let b = -8 - -11. Suppose 4*o - 2*n - 252 = 0, -b*n - n = -o + 49. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1844028434 to the nearest integer?\nAnswer: 1226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 9. Suppose -5*y = 0, 0*y - 4*y - 8 = -n*m. Let o(u) = 3*u + 9*u**m - 13*u**2 + 3*u**2 + u + 3. Calculate o(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 138967376?\nAnswer: 2, 523, 16607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j. Let r(n) be the second derivative of 7*n**4\/6 + 18*n. Calculate c(r(h)).\nAnswer: -14*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2*t - t + 2*t + 7*t. Let a(n) = -2*n. Give y(a(g)).\nAnswer: -12*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/2 + 12\/(-16). Let c = -7\/20 + x. Let m = 594 - 578. Which is smaller: c or m?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4\/13 + 1\/39. Let v be 68\/(-18) + 2 + 2. Let h = -377 - -380. Sort h, v, w in increasing order.\nAnswer: v, w, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(33) - sqrt(99)\/sqrt(3))*2)\/(sqrt(108)*-2) - 1*((sqrt(396))**2 + 1 + -5 + sqrt(22)\/sqrt(2)).\nAnswer: -392 - sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 8*o**3 - 7*o**2 - 94*o + 906. Is 173 a factor of v(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a + 8. Let o be t(3). Suppose -d + 3*d - 76 = 4*p, -4*p + 246 = o*d. Is 5 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (383\/(-1))\/((-23)\/46). What is c rounded to the nearest ten?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 465 is divided by 369.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t. Let c(r) be the second derivative of 0*r**2 + 0 - 92*r - 103\/6*r**3. Calculate c(k(f)).\nAnswer: -103*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 236 + -219. Solve k + 3 = 5*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 2:31 AM?\nAnswer: 1:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 8 + 4 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -x**2 - 507604*x - 64415455204 = 0.\nAnswer: -253802","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 - 12*i**2 - 10*i - 21. Let y be j(-12). Let l = y - 41. Let p = l - 53. Solve r + 3*x - 28 = 8*x, p*x + 13 = -4*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 26 = z - 27, 3*f + z = 40. Solve -f = -5*w + 3*w - 5*a, 5*w + 20 = 5*a for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19117 is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6\/5 - -13\/15. Let l = -8.2 - -1.2. Which is the nearest to 0.1? (a) m (b) l (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 2 - 4. Let p(b) = -5*b + 1. Let l be p(u). Let x = -64 + 68. Sort x, -2, l in decreasing order.\nAnswer: x, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -122*p**3*s - 164*p*s**2 + 1054*p + 143930*s**2 + 1369 wrt p?\nAnswer: -366*p**2*s - 164*s**2 + 1054","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, z: 3, y: 1, r: 4}. Give prob of picking 3 s and 1 z.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -25590\nAnswer: -76770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 5*d = -18, 2*u = -d + 8 - 2. Suppose -2*w - t + 40 = 0, 16 = u*w + t - 6*t. Let s = 23 - w. Solve -3*k + s*y = 1, 1 = 2*y + 3 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2840685984?\nAnswer: 2, 3, 41, 80191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 24912227 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 - 2*u + 2. Suppose 0 = c + 4, 5*t + 17 = 4*t - 5*c. Let j be r(t). Solve 0 = 2*g + j*x + 1, 5*g = 2*g - 2*x - 7 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -175002530*i**6 - 152143143*i**2?\nAnswer: -21000303600*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8533?\nAnswer: 7, 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of -5\/2*d**2 - 19 + 4*d. Find the first derivative of t(m) wrt m.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/48 and -37\/168.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 5*q - 1381 - 1863, -f = -5*q + 3236. What is the highest common divisor of 567 and q?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, j: 1, p: 4, a: 1}. What is prob of sequence pb?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 20507 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/10 and 50\/49.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-182)\/(-98) - 1\/(-7). Suppose 0*p - 390 = -3*p - 3*y, -a*y + 520 = 4*p. Suppose p = 4*b - 346. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 108.9 + -108.92. Which is smaller: u or 26?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 3869128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6836772?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 49233 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2d0 (base 16) to base 7.\nAnswer: -2046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 9*y - 36. Suppose -g - 2 = 0, -5*v + g + 604 = -g. Suppose 0*t = -5*t + v. What is the remainder when t is divided by y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*d - d. Let z = -4 + 16. Let g(h) = -141*h - 702. Let w be g(-5). Solve -3*m - m + d*r = -6, r - z = -w*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5254500 to the nearest one hundred thousand.\nAnswer: 5300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -49022*a**3*t**2 - 4747*a**3*t - 128*a**2 + 17*t**3 wrt t.\nAnswer: -98044*a**3 + 102*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/65*2*1\/1?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -7*p - 6*p + 10 + 3*p + p**2 + 3*p. Let d be o(7). Solve 0 = 4*v - d - 6 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -157, -190, -1?\nAnswer: -157","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -40*w**3 - 10*w**2 - 11*w. Suppose 204 = 56*s - 181*s - 46. Let r(b) = -8*b**3 - 2*b**2 - 2*b. Give s*m(c) + 11*r(c).\nAnswer: -8*c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4222 = -2*a - 5*x, -6354 = -15*a + 12*a + 3*x. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h + 3*n = -12*h + 143, 0 = -3*h + 5*n + 129. Suppose -30 = x - h. Suppose 136 + x = -6*c. Which is bigger: 3 or c?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -56 + -17*(-33760)\/9520.\nAnswer: 30\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 156624888.\nAnswer: 2, 3, 7, 107, 8713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*18\/(-3)*28*4\/21?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 0)*(q - 7*q + 3*q) + (0 + 4 - 3)*(-q - 4*q + 6*q).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 + w - 2. Suppose -2*z = 5*i + 3*z - 25, 0 = -5*i + 4*z + 52. Let u = i + -11. Let c be m(u). Solve -5 = j + c*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -2, 0*i + 3*i - 25 = 2*a. Suppose -4*o = f - 12, -4*f - 3 = -o - i*f. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.14 - 11.84. Let c = 16.7 + o. What is the closest to -0.03 in 0.5, c, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126.173717 rounded to zero dps?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 - 6*x - 4. Determine m(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.8? (a) -1\/3 (b) 1\/4 (c) 6927810\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27313 + 27308. What is the closest to -0.2 in w, -8, 99?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -348*u = -62*u - 572. Solve 15 = 2*p - 5*a - 4, u*p - 2*a - 10 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 4 = -4*h - 4*m, 4*h + 28 = 4*m. Let x be (-6)\/(-24) - 71\/h. What is the greatest common factor of 126 and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of 13*b**4\/54 - 28*b**3\/27 + 4*b**2\/9 + 2*b - 26. Factor q(k).\nAnswer: 2*(k - 2)*(13*k - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -6*(sqrt(1792) - sqrt(1792)*-2) - (5 + (sqrt(2268) + (-2*sqrt(2268) - sqrt(2268)))*1).\nAnswer: -252*sqrt(7) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 6 - (9 + -7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iirxrllzjijl. Give prob of sequence jx.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30616170 and 67355574?\nAnswer: 336777870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77 is divided by 29?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.002 and -3.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -202 + -15103?\nAnswer: -15305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3538156 and 8604?\nAnswer: 956","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10 * -0.01661.\nAnswer: 0.1661","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/8, 0.4, 12\/235, 2?\nAnswer: 12\/235","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z**2 - 2*z**2 - 115*z**3 - 1666*z**3.\nAnswer: -1781*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 860 (b) -6 (c) -3\/5 (d) -2\/13 (e) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 14 + -11 - -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 + 2*p + 6. Let f(l) = l - 1. Let w(a) = -5*f(a) - x(a). Calculate w(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0119291 rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 12 = 66. Let v = l + -23. Factor -1\/4*u**v - 3*u + 2 + 3\/2*u**2.\nAnswer: -(u - 2)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -5, 1\/5, -0.5, -11, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tbtbaggbbtbbtbb. Give prob of sequence bb.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*h**5\/3 - 2134*h**4\/3 + 85582*h**3\/3 + 163840*h**2\/3 + 62333*h\/3 - 13778\/3 = 0. Calculate h.\nAnswer: -1, 2\/13, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 485 + -143?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, c: 1, q: 1, t: 2, i: 1, v: 1}. Give prob of picking 1 i, 1 n, 1 v, and 1 t.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5\/2 (b) -4 (c) -0.1 (d) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - (-3)\/(2 + 1). Suppose -h*b + 2 = -2. Let t(f) = -f**3 + f**2 - 1. Let k be t(-1). What is the greatest common factor of b and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -40 + 21. Let b be ((-8)\/(-2))\/((-1)\/2). What is the common denominator of 7\/4 and 5\/b*w\/5?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41, -7, -65, -127, -187, -239?\nAnswer: -277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 20\/13, 2, 2\/5, 5\/2, 298\/7, 0, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 21\/((-189)\/(-18)) + 0. Sort 5, -1, 21, c in increasing order.\nAnswer: -1, c, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2496\/7 + 356. Which is the nearest to -1\/4? (a) x (b) -0.4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -342 + 1780. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -3*s + 5. Let w(m) = -4*m + 8. Let n(c) = 8*o(c) - 5*w(c). Let a(i) = -6*i - 2*i + 22*i - 3*i. What is n(a(f))?\nAnswer: -44*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/5, -1, 0.036, 4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12611619739699 take away 2?\nAnswer: 12611619739697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 5\/674, -3, 162, 23?\nAnswer: 5\/674","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {q: 1, a: 2, r: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/(h*h**(6\/5)*h*h)*h)*h)\/(h*h\/(h*h*h**(-22)\/h*h)))**(-8\/19) assuming h is positive.\nAnswer: h**(712\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) -5 (c) -2\/21 (d) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + y**2 - 3 + (-4 + 3 + 0)*(y**2 - y**2 + y**2) - 2*y**2 + 4*y**2 + 0*y**2 + y**2 + 0*y**2 + 2*y**2)*(-2*y + 4*y - 3*y).\nAnswer: -5*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1840177467?\nAnswer: 3, 191, 356831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -286 - 84 = 74*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 - 5. Let t(n) be the first derivative of 1\/3*n**3 + 0*n**2 + 0*n + 2 - 3\/4*n**4 + 3\/5*n**5 - 1\/6*n**h. Factor t(q).\nAnswer: -q**2*(q - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 b, and 2 v when four letters picked without replacement from {w: 10, b: 4, v: 2}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z**(2\/7))*z*z\/((z\/z**(-3\/8))\/z)*(z*z**0)**(-33))\/(z**(-1\/3)*z**(1\/3)*(z*z\/z**(-1\/5))\/(z\/z**6*z)) assuming z is positive.\nAnswer: z**(-10601\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -242*x + 12*x**2 - 9*x**2 - 4 - 238*x + 480*x + 0.\nAnswer: 3*x**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4935 + -4930. Solve -2 = -5*t + 2*q + 18, -8 = -2*t + f*q for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-28)\/175*-15)\/((32\/40)\/2). Solve 85*w - 83*w = -2*o - u, -2*w = -o + 15 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -778158 divided by -9?\nAnswer: 86462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 158 - 240 = -5*o + 2*u, -2*o = 2*o + 2*u - 66 for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -5. Suppose -5*b + 3*b = l. Solve 2*x - 5*x + 9 = b for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -4*u + 21. Let r(k) = 4 - 30030*k**3 + 5*k**2 - 1 + 0 + 6*k. Let g be r(u). Round g to the nearest one million.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 47112648.1215 + 13\nAnswer: 47112661.1215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/84)\/((-26)\/3731)\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/108 + 14696\/(-432)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 219874 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: Sum 7 and -2088.\nAnswer: -2081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k**2 - 36816474*k + 73632944 = 0. What is k?\nAnswer: 2, 36816472","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2502\/(-10008)*1\/((-3)\/8)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p**2 + 0*p + 0*p + (-p + p - p)*(-p + 5*p - 2*p) + 2*p**2 - 2*p**2 + p**2 + 37*p**2 - 2026*p + 2026*p + (6*p + p - 5*p)*(-4*p + 0*p + 2*p).\nAnswer: 30*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 840 and 18200?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (10 + -6 + -1 + -17)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -5*h + 6. Let y(l) = 4*l - 5. Let g(r) = 5*n(r) + 6*y(r). Let a(o) be the first derivative of o**3\/3 + 4. What is g(a(c))?\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 10) to base 15\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10\/(-45) - (-640)\/45. Let j(d) = -d**2 + 5*d - 4. Let w be j(3). Suppose w*c + 2*c = 28. What is the highest common factor of c and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 24 = 4*o - 26 + 28, 12*j = -12*j + 4*o + 248 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 0, 2 in descending order.\nAnswer: 2, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 858 is divided by 312.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 + s**2 + 5*s + 530. What is the units digit of n(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 20233 + -1033?\nAnswer: 15200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*l + 4*l - 18 + 18 to the form h + p*l and give p.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v - 4*v - v)*(-47 - 85 + 19).\nAnswer: 226*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 60741.1 rounded to the nearest one hundred?\nAnswer: 60700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37.3 + 40. Let d = p - -11.3. Let y = 24.8 + -25. Sort -2\/7, d, -0.1, y.\nAnswer: -2\/7, y, -0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2b420 + -99?\nAnswer: 2b365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*q = 14585 - 2326. Let y = q + 269. What are the prime factors of y?\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 43*q = -294. Let s = q + -4. Let v(f) = -f + 15. Calculate v(s).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137*i**3 - i**2 + 123*i**3 + i**2.\nAnswer: -14*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2 + 6200874*r - 6200877.\nAnswer: 3*(r - 1)*(r + 2066959)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1313*m + 1316*m + 5*n - 182906, -60964 = -m + 3*n. List the prime factors of m.\nAnswer: 41, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - w + 281 = 7*n, 3*n = -w + 210. Suppose 4*u = -3*f + n, 0 = 7*f - 6*f + u - 24. What is the smallest common multiple of f and 5?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1423, -1280, -1137, -994, -851?\n\"Answer: 143*t - 1566","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 234.756 + -235. Let d = 0.056 - n. What is the closest to -0.1 in 4, 2\/29, d?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z = 11*z - 30. Suppose -6*b = -0*b - z. What is the remainder when 7 is divided by b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 4*i**2 + 1. Let t be a(1). Let h(n) = -n**2 + 13*n + 2. Let v be h(15). Let p = t - v. Calculate the remainder when p is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 112 and 1239.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*c + 2*c + c + (-2 - 3 + 3)*(-2 + 2 - 2*c) - 3*c + 0 + 0 to w + f*c and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 141853?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-105)\/(-175)*(-5)\/(-204))\/(1\/4)\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/52 (b) 0.06 (c) -0.2 (d) -421733\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 74931 - -3?\nAnswer: 74934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 2*j - 12 = 0. Let x(t) = -2 + 7*t**2 + 2 + 3 + t**j + 3*t. Is 14 a factor of x(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.895 - 0.035. Let z = q + 5.63. Is -1 smaller than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b*o**4 + 2389*b*o**2 + 6*o**6 + 2*o**3 wrt o?\nAnswer: 24*b*o + 720*o**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -79950 and 0.07?\nAnswer: 79950.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 166 and 42.\nAnswer: 3486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-2\/9)\/q)\/(q**(-5)\/q)*(q\/q**(2\/9))\/(q*(q\/((q\/(q**(1\/4)\/q))\/q)*q)\/q)*(q\/(q*q**6)*q**5)**(-2\/147) assuming q is positive.\nAnswer: q**(9383\/1764)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 3 = 4*z - 16, 2*z - 17 = v. Let q = -4.133 - -7.133. Which is the nearest to 0.3? (a) q (b) -3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 - ((-7 - -1) + -3 + 1 - -5)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 289*k**2 + 45*k - 124. Let i(b) = 6*b. Determine l(i(w)).\nAnswer: 10404*w**2 + 270*w - 124","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -2. Let l(f) = -7*f + 1. Let p be l(1). Let k = p + 9. Solve -h*o - k*t - 2 = 1, 0 = -3*o + 5*t - 27 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28745*(-6)\/5*4*(-9)\/108.\nAnswer: 2, 5749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -12 + (8 - (-8 + 5))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2165 (b) -3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3*1\/((-54)\/(-29)) and -99\/10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(147) + -1 + 1)**2 + -4*(sqrt(147)*-2)**2 - ((-5*(1 + sqrt(147)) - sqrt(147))**2 + -5)).\nAnswer: 1260*sqrt(3) + 22551","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*z + 5*u, -1 = -5*z - 5*u - 6. Suppose f + 2*f + 6 = 0. Let i = f + 4. Solve d = i + z for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (581 + 200 - 472)*(x + x - x - 6*x + 3*x + 2*x + (3*x + 2*x - 6*x)*(1 + 1 - 1) - 2*x - 4 + 4 + 3*x - 3*x + 2*x) to b*x + h and give b.\nAnswer: -309","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is r in r**3\/6 + 17*r**2\/2 - 279*r - 1944 = 0?\nAnswer: -72, -6, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -616*r - 578487 = -655*r. Is r a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1920890 is divided by 2617.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(1\/3)\/((u\/u**(-1\/12))\/u))\/(u\/(u\/((u**(1\/4)\/u)\/u)))**(16\/9))\/((u**(-4)\/(u\/u**(-7)))\/(u**(-1\/4)*u)**0) assuming u is positive.\nAnswer: u**(553\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -22*y + 140 + 168 for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -i - 64. Suppose 0 = -4*p - i. Let o(y) = -3*y. List the prime factors of o(p).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, -72\/43, -2\/9 in descending order.\nAnswer: -2\/13, -2\/9, -72\/43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + -1 - (-1 + 3). Let g = m + 9. Suppose -5*u - 1 = 4*s - 4, -2*u = -3*s + g. Which is greater: u or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/(-9))\/(4\/12). Suppose -c = -2 - d. Suppose 0 = -c*q + 6*q + 5*k - 62, -4*k = 3*q - 58. What is the remainder when q is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113 = -2*t + 127 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-22)*(-9)\/4*(-194)\/(-291)\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 26212949 to the power of 1\/5, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 72171?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence he when two letters picked without replacement from {s: 3, u: 3, v: 3, h: 1, f: 3, e: 1}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 + 7*o**2 - 4*o - 26. Let f be z(-7). Solve 2*t - 3*n = -2, -f*t - 22 = t + 5*n for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1672 + 1734. What is the least common multiple of 192 and s?\nAnswer: 5952","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1150?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - 0. Calculate the lowest common multiple of 2*-2*2\/(-8) and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 146 (base 8) to base 7.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/769156 and -69\/32.\nAnswer: 6153248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 236 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*(j*j*j**(2\/17))\/j*j)**35*j\/(j\/(j\/(j\/(j\/j**(3\/32)))))*(j*j\/j**(4\/9))\/j assuming j is positive.\nAnswer: j**(712757\/4896)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 9 = -5*x - 28, 0 = -5*q + 2*x - 38. Let o(r) = -5*r - 8. Calculate the least common multiple of 40 and o(q).\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2437222*g**3 + 4026139*g?\nAnswer: 14623332*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that n**3\/7 + n**2 - 281*n\/7 + 39 = 0.\nAnswer: -21, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 364.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, 6, 3, 0, 2 in decreasing order.\nAnswer: 6, 3, 2, 1, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -187 + -2172?\nAnswer: -2359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/(-5))\/(1\/(-20)). Suppose w - 5 + 0 = 0. Suppose -4*x - t = -0*t - s, w*x + 3*t = 27. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130786487 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 5:00 AM?\nAnswer: 5:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y + 7. Let o be b(-7). Suppose o = 6*w - 7*w + 6. Find the third derivative of 28 + p**6 + w*p**2 - 28 wrt p.\nAnswer: 120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 702.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 6*r - 72. Let w(s) = -2*s + 24. Give 3*f(d) + 10*w(d).\nAnswer: -2*d + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 - 4*o**2 - 4*o - 2. Let y be h(5). Suppose -y*k + 0 = -6. What is the first derivative of 5*d**4 + k + 0*d**4 - 4*d**4 wrt d?\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2\/81 - 91\/405. Let i = -75.4 + 75.9. What is the nearest to -1 in 0, f, i?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 262 is divided by 50.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20584 is divided by 20583.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-14)\/10*-23 - (-3736 + 3749). Find b such that -h*b - 3\/5*b**4 - 87\/5*b**2 - 36\/5 - 6*b**3 = 0.\nAnswer: -6, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3829 + 3245.8. Let c = y - -583. What is the third biggest value in -5, c, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 305279721 is divided by 3642?\nAnswer: 3639","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -5. Let t = b - -2.9999925. Round t to 6 decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - -4716?\nAnswer: 4722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 48*g**2 + 13 - 10 as m + f*g**2 + l*g and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5 - 0)*(-31)\/(-1). Let y be 0\/13*6\/42. What is the units digit of (-14)\/35*w*(-1 - y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 11466?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -798 - 19*h**3 + 796 + 54*h**4 - 37*h**4 as j*h + g + c*h**4 + x*h**2 + a*h**3 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of -k**6\/660 + 5*k**5\/66 + k**4\/33 - 100*k**3\/33 - 473*k**2. Factor o(s).\nAnswer: -2*(s - 25)*(s - 2)*(s + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1aa (base 11) to base 6.\nAnswer: 1041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 423 is divided by 418.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 2*d + 8, 4*d + 3*x - 2 = 2*x. Suppose -3*o - q = -13, 5*o - 5 - 16 = -q. Suppose -3*b = -o*b + 3. Solve -b*n - 12 = -d*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 389 is divided by (-16 + -140)\/12 - -33.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 - 4*w**2 - 6*w + 1. Let c be x(4). Let p = c - -27. Let n(s) = -16*s - 80. Let u be n(-6). Solve -p*r = 12, 0*r - 5*r = k + u for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.19 (b) 1625\/7 (c) -2\/7 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.24 + -192.24. Let y = q - -189.8. Which is the smallest value? (a) 1.1 (b) -0.3 (c) -4\/7 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rx when two letters picked without replacement from rxxzxzz.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 116d - 1095?\nAnswer: d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 23*h + 27*h + 24*h - 69*h - 28. What is the remainder when 45 is divided by k(8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*y = 2*i + 48, 1946*i - 1947*i - 2*y + 11 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7)\/(1 + -1 - 1). Suppose -6*j - 1 = -g*j. List the prime factors of 0 + (j - (-4 - 6)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 12004410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1154 + -1151. Solve -5*j + 3*f + 13 = 0, u*f = 3*j + f - 7 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2223 - 2157. Solve -r + 72 = -6*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 AM and 5:04 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0*(-1)\/(-4)*2. Suppose -2*j + 4 = -5*b + 28, v = -5*b - 5*j + 10. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23 (base 6) to base 13\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-40)\/((20\/5)\/(-8)). What is the highest common divisor of s and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 963746, 963858, 964054, 964340, 964722, 965206?\nAnswer: 965798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -q + 6, p + 0*q - 2 = -q. Suppose p*v = m + 155 - 7, 0 = v + 4*m - 20. Does 18 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000004143269 to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 457 - 521 = -32*b. Let o(x) = x - 1. Let c(k) = -12*k**3 + 22*k - 22. Give b*c(f) - 44*o(f).\nAnswer: -24*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/3)\/(-1)*1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 - 1. Let w(l) = -5*l**2 - l - 2. Suppose -2*g - 2*g = 4. Let o = -6047 + 6049. Calculate g*w(h) + o*i(h).\nAnswer: 3*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1858.3182 + -1858. Let f = -0.0182 + n. Which is the biggest value? (a) 2\/5 (b) -0.3 (c) f (d) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 4*a**3 + 24*a - 10. Let b(h) = 9*h**3 + 48*h - 21. What is 2*b(f) - 5*y(f)?\nAnswer: -2*f**3 - 24*f + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**2\/7 - 1494*v\/7 + 3000\/7.\nAnswer: -3*(v - 2)*(v + 500)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/7, -4454, -5, 0.037, -9, -0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -77 and 2536.47?\nAnswer: -195308.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 PM and 10:33 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 6:51 PM?\nAnswer: 4:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(931) - -3*sqrt(931)) + 5 - (5*(0 + sqrt(931) - sqrt(931)) + sqrt(931) - sqrt(931)))**2*5 + -3.\nAnswer: 1400*sqrt(19) + 74602","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s**3 - 1822*s + 5 + 1822*s + 15*s**2 + s**4 to the form r*s**4 + g*s**3 + l*s**2 + o + v*s and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 5 + 0)*(40*v + 15*v + 79*v) to the form c*v + x and give c.\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -8373, -7328, -4485, 1056, 10195, 23832, 42867, 68200?\n\"Answer: 150*j**3 - j**2 - 2*j - 8520","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*k**3 - 2 + 4908*k - 4908*k in the form y*k + j*k**3 + d*k**2 + f and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/10 + (-272)\/(-170)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*s + 1. Let d(t) = -t - 1. Let a be d(s). Solve -2*q + 4 = -4*g, -4*g + a*q + 9 = -3*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 1104 = -0*a + a, -1102 = -5*h + 3*a. Suppose 4*z + b + h - 874 = 0, -5*b - 321 = -2*z. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 403534 - 0.9882?\nAnswer: 403533.0118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 5*z - 2151 = 0, -31*y + 1062 = -29*y + 2*z. Does 6 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69\/((-1035)\/(-240)) - (-4 + 141\/12).\nAnswer: 33\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 78184 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 14 = 3*t - 34, -x = -2*t + 20. Is x > -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 4*y = -8, 0 = 2*x - 2*y - 1428 + 1426 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.31, -215, -3?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 193 + -198 + (1 - -6 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 69 and 874.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 0.4, 0.3, -7 in ascending order.\nAnswer: -7, -3, -1, 0.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from nnnnnnannnnnannnnnn.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (10*-1)\/((-4)\/6). Suppose 0 = 3*r - j, 3*p - r + 42 = 4*p. Let b = p + -9. Calculate the remainder when b is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-9)*21 + -3. Solve 4 = -13*a + p for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(49)*-3 - 3*sqrt(2401))\/((-3*sqrt(7) - sqrt(7))*-2 + sqrt(7) - 1*sqrt(7)*-2))**2.\nAnswer: 6300\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of q**3 - 3231. Let m(j) be the second derivative of 0 + j + 1\/2*j**3 + 0*j**2. Give m(o(r)).\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 2*j = 1 - 0, 10 = 2*z - j. Suppose 48 = 3*y - 7*y. Let h = y - -15. Solve -2*i = -a - h, z*i - i = -2*a + 12 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101100101101001010 (base 2) in base 11?\nAnswer: 284590","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 + 5*u - 4. Let w be s(4). Let p = -0.04 + -6.96. Let n = 11 + p. Which is the second smallest value? (a) w (b) n (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3200222 (base 8) to base 6.\nAnswer: 30132550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 104 or 39110?\nAnswer: 39110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 48*s**2 - 23*s - 8. Let f(z) = 16*z**2 - 8*z - 3. Determine 11*f(x) - 4*i(x).\nAnswer: -16*x**2 + 4*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 253522 + -256?\nAnswer: 253233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 138, -3, 2 in decreasing order.\nAnswer: 138, 3, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17 and 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 3 = 2*x. Let d(r) = -1760000*r**2 + 4*r - 4. Let o be d(x). Round o to the nearest 100000.\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 490 = 8*g. List the prime factors of g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 31962 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.7 - 5. Let m = y + 0.34. Let n = 0.36 + m. Which is the biggest value? (a) n (b) 0.1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16720*r = 16674*r + 1804442. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 583482904?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 212 (base 16) to base 12\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 592*f + 9. Let w be h(-1). Let a = 1582 + w. List the prime factors of a.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2 + 3032*k - 1149128.\nAnswer: -2*(k - 758)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/(-6))\/(1\/21). Suppose 0 = -3*h + p*h - 68. Suppose 0 = a - 2*o + o - 31, o = 0. Calculate the remainder when a is divided by h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 + -7. Let x = f - -47. Let p be 2*((-2)\/1 - -3). Solve 5*s + p*h - x + 10 = 0, -s = h - 1 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of -g**6\/120 - g**5\/60 + g**4\/24 - g**3\/2 + 3*g**2. Suppose 0 = 2*b - 1 + 7. List the prime factors of c(b).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-13)\/(1 - (-54)\/(-24))*35?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -1 - 4*k + 7*k**2 - 6 - 4*k + 2*k. Let t(y) = -6*y**2 + 5*y + 6. Calculate 4*r(a) + 5*t(a).\nAnswer: -2*a**2 + a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - 3) + 4 + -5. Let v be (-1)\/(a\/(-3))*-2. Solve 3*c = -v*h, -1 = -2*c + 3*h - 11 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 28\/17*y + 0 + 2\/17*y**2 = 0.\nAnswer: -14, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23 + 25. Suppose l + s*q - 35 = 0, -5*l = -5*q - 43 - 147. What are the prime factors of l?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63 = -3*t - 81 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1275696 is divided by 255135?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*x - 31. Let s be 1 - (-5)\/(x\/(-6)). What is the units digit of (1 + s + 2)*5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91 is divided by 48.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 92, 268, 606, 1160, 1984?\nAnswer: 3132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -2*b + 37, 2*b + k - 39 = -0*k. Suppose b*i + 200 = 25*i. Calculate the remainder when 2\/(-2 + 928\/460) is divided by i.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 80*a**3 - 16*a**2 + 665. Let u(g) = -160*g**3 + 27*g**2 - 1328. Let y(i) = -5*b(i) - 3*u(i). Differentiate y(h) wrt h.\nAnswer: 240*h**2 - 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 1856*o**2 - 1855*o**2 + 11 - 6.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*d - 85 = 5*d. Solve -25*z + d = -26*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1036200497, 2072400993, 3108601489, 4144801985, 5181002481, 6217202977?\n\"Answer: 1036200496*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 50 - 148\/3. Let j = 89.105 - 0.105. Let f = j - 93. Which is the nearest to -1? (a) w (b) f (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -5*d + 10. Suppose 3*s - 11 = 3*v + 22, 2*v + d = 0. Suppose 0 = 4*f - 86 + s. Is 20 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 738*c - 737*c - 183 = 0. Let u = c + 23. List the prime factors of u.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 195\/(-104)*64\/144\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -30 - 212222?\nAnswer: -212252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -132.7 - 36.3. Let n = v + 166. What is the closest to -1 in 3, -1.1, n?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**4 + 0*i**4 + 3*i**4)*(-1 - 13 - 2)*(-3 + 0 + 5).\nAnswer: -128*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -13, 25, 101, 221, 391, 617, 905?\n\"Answer: k**3 + 13*k**2 - 8*k - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, z: 1, y: 1, c: 1, o: 2, b: 1}. Give prob of picking 1 y and 1 b.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -5*h + 5. Calculate t(6).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (48\/(-84))\/(3\/(-21)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j**3 + j**3 - 4*j**3)*(7 - 2 - 3)*(23*j**2 + 0*j + 2*j - 4*j).\nAnswer: 46*j**5 - 4*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115 - 60 + 17*u**3 - 46.\nAnswer: 17*u**3 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 17*t**3 - 75*t**2 + 107*t - 107. What is u(3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 4*f = -27. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/20)\/(6\/1)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-75)\/(-12))\/((-6)\/(-24)). Let u = 46 - a. Calculate the greatest common factor of 7 and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -622\/5 - -124. Let p = 9\/10 + i. Which is the closest to p? (a) 5 (b) 0 (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 119*x + 102. Let a(s) = -s - 1. Give -102*a(i) - q(i).\nAnswer: -17*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -141 + 29. Let i(w) = x + 3*w - 3*w - 55 - w. Let n(f) = 1. What is 6*i(q) - 6*n(q)?\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*r**2 - r**2 + 7 + 9 + 6*r**2 to l + s*r + u*r**2 and give l.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 97177847?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 AM and 8:06 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7201 - 7196. What is the nearest to 3\/13 in -2, -4\/7, y, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 24 - (-106 - (-27 + 15))\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60175 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - d?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of -q**2 - 7*q + 4. Suppose -4*z + 9 = 29. Let b be w(z). Solve 6 = b*d - 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -263*j + 16 = -12*y - 261*j, 57*j = -y + 58*j + 2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1.83 or 2751181?\nAnswer: 2751181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of -i**4\/4 + i**3\/3 + 11*i**2\/2 + 3*i - 71. Let r be s(0). Solve r*p + 25 = -2*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 - 4*x - 3. Let d be j(-3). Let g be 0\/3 + (3 - d). Suppose -4*o - 7 - 17 = -g*z, -3*z + 3 = 3*o. Solve 3 - 15 = z*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2882\/(-524) - 22\/(-4). Let u(w) be the second derivative of 0 + 22*w + p*w**3 + 0*w**4 + 1\/10*w**5 - 2*w**2. Differentiate u(y) wrt y.\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -105*y - 425 with respect to y.\nAnswer: -105","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, x: 2, t: 9, r: 2}. Give prob of sequence xst.\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1742631 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/521 (b) 1\/8 (c) 2\/3 (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*r + 8*r - 3*r - 7 + 2 as f*r + y and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 331068069.\nAnswer: 3, 233, 157877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 3*y = -691, 5*i - 3*i + 3*y - 1364 = 0. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 7 - 8 + 4. Let s(b) = b. Determine -s(n) - v(n).\nAnswer: -n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27 - -25. Which is the third smallest value? (a) 5 (b) w (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 651\/744*240\/84.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 PM and 7:02 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 PM and 12:42 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*d - 9*d + 37*d - 10*d + 20 - 10*d.\nAnswer: d + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 0*b = -15. Suppose 0*j + 19*j = 4*j. Suppose j = -2*c + c - 4*c. Solve n - b*o = -c*n, -4*o = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 3 = -3*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 + 7*x + 4. Let u(r) = 3*r - 5. Let v be u(4). What is q(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11\/42 + -1\/14. Is v less than 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, q: 3}. What is prob of sequence qiq?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 + 9*g - 17. Determine d(8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (78\/24*-1)\/(2\/(-8)). What is the highest common divisor of v and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/13)*o**(-2\/5))**(-16)*(o*o\/(o**(1\/4)\/o)*o**(-4))\/(((o**(4\/9)\/o*o)\/o*o)\/(o*o**(-2\/7))) assuming o is positive.\nAnswer: o**(68617\/16380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5702, -5698, -5694, -5690?\nAnswer: -5686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1231 - 123436?\nAnswer: -122205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -32\/3, -2\/5, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11103745 to the power of 1\/3, to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of (-6)\/(-14) + (-10560)\/(-252)*36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150*f = 156*f. Suppose 16*b - 13*b - 2*g - 170 = f, 3*b - 5*g = 155. What is the highest common factor of 324 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from {q: 5, e: 11}.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1271?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5 - 22\/6) + 2\/(-6). Let h = 4.94 + -5. Let s = 1.94 - h. Which is the second smallest value? (a) 0.02 (b) k (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 96 = -7*u. Suppose -7*f + 2*f + u = -2*a, -3*f - 5*a = -33. Suppose -f*l + 2*l + 160 = 0. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1 and 204.\nAnswer: 204.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 9) to base 14\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 85, 81, 63, 25, -39, -135, -269, -447?\n\"Answer: -j**3 - j**2 + 6*j + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1552, 1, -18.\nAnswer: -18, -1, 1, 1552","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that r**3 - 5*r**2 + 7*r - 3 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k - 2 = 52. Let x(v) = -4*v - 21. Let w be x(k). Solve b = 3*b, -4*r = -w*b + 4 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 34 - 2043003?\nAnswer: -2042525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 284418393*b**5*q + 8367789*b*q wrt b.\nAnswer: 5688367860*b**3*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 5*a - 8. Let i be x(7). Let k = 30 - i. Suppose 0 = s + k*s + 2092000. What is s rounded to the nearest ten thousand?\nAnswer: -520000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 24 = 7429*n - 7425*n + 30*y, -3*n + y + 32 = 0 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -128640 or -128456?\nAnswer: -128456","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2475862520?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 792036 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 69 + -54. What is the remainder when 27 is divided by r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4, 245, 726, 1447, 2408, 3609?\n\"Answer: 120*w**2 - 119*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*y = 10*y + 34 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 674 + -677. What is the closest to -7 in 9, f, -0.2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17.986 - 18. Let k = h + 0.504. Round k to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -104 - -85. Which is smaller: a or -18?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 338?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 i when three letters picked without replacement from {a: 10, z: 1, w: 1, i: 2}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2303201?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/2, 0.078, 3, 2\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2786*l - 10411. What is f(-5)?\nAnswer: 3519","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l**2 - 10262142*l - 71834847 = 0. What is l?\nAnswer: -3420707, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6\/985 + 191\/985. What is the closest to -199 in w, 2\/5, -6\/5, -1\/3?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + 9971?\nAnswer: 9975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15152978?\nAnswer: 2, 83, 91283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -541*t**2 - 3 - 4246*t**2 + 3 + 0.\nAnswer: -4787*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -30256 divided by 976\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(180\/(-530))*12\/(-8)*4\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, q: 5}. Give prob of picking 3 q and 1 k.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -683*w - 892 = -6349 - 4105 for w.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7635453 is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 752 and 20?\nAnswer: 3760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 + 1. Let s be l(2). Let o = -2\/2825 - -15822\/2825. Which is smaller: o or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3183.\nAnswer: 3, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*u - 4*u - 132. What is the tens digit of (12\/9 - (-2)\/(-1))*u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10860 * 0.5\nAnswer: 5430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (0 + (3 + (1 + 1 + sqrt(1872))**2)*6)*1.\nAnswer: 288*sqrt(13) + 11277","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4683088 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jxu when three letters picked without replacement from {x: 5, n: 3, u: 2, j: 3, t: 3, i: 3}.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -11*t + 148. Let m be h(12). Suppose 4*q + m = 0, 19*s - 56 = 16*s - 4*q. Sort -3, s, 0 in descending order.\nAnswer: s, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7429413?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-240 - -241)*(-13)\/7*3\/1\nAnswer: -39\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.05474 and 0.1.\nAnswer: 0.04526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28*f**2\/9 + 473360*f\/9 + 135248\/9.\nAnswer: -4*(f - 16906)*(7*f + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2424 (base 6) in base 11?\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32 + 39. Solve -4*c - z + b = -5, -3 = -c + 2*z for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26)\/(1248\/216)*4\/4?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*n + 0*n**2 + 34*n**2 - 4*n**2.\nAnswer: 30*n**2 - 7*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 2*y - 70 = 26, 0 = 3*k + y + 144. Let d = -17 - k. What is the greatest common divisor of 248 and d?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -1\/7, -2\/3, 6361?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 183895588.15 take away -0.2?\nAnswer: 183895588.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 135, 74, -3, -102, -229?\n\"Answer: -x**3 - 2*x**2 - 48*x + 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-5)\/(-4))\/(2\/(-12 - -20)). Solve 8*s = f*s - 6, s - 4 = -3*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = -3*d - 20, 3*d - 1 = -r - 5 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(8*(-1)\/(-16)*2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -6)*(184\/(-30) - -6).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*h + 4*h + h + (0 - 5 + 4)*(-3 + 3 - h) + 3*h + 1 - 1 to the form y*h + l and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23907 - -23924. Calculate the greatest common divisor of p and 221.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-2*(sqrt(1573)*-2 + sqrt(1573)).\nAnswer: -110*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 8 + 67. Suppose -7 - y = -2*n. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/2526 and 67\/17921970.\nAnswer: 17921970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 - 6*p + 5. Let x be f(-7). Let h = 12 + -9. Let o be (x - 74\/h)*180. Round o to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -6*w**3 - 4*w**2. Let d(m) = m**3 - m. Let t(k) = d(k) - o(k). Let n(j) = 4*j**3 + 2*j - 7*j**2 - 8*j**3 - 3*j**3 - 6*j**3. Give -6*n(p) - 11*t(p).\nAnswer: p**3 - 2*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.64 - 240.36. Let x = y + 243.865. Round x to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 2*d - 3*l, 2*d + 5*l = -3 - 4. Suppose d*z - 10*z = -492. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3131939 - -1012.2.\nAnswer: 3132951.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3357?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -10*x**3 - 35\/2*x**2 - 1\/2*x**4 + 10*x + 18 = 0.\nAnswer: -18, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r + 13. Give b(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3751, -7591, -11407, -15205, -18991, -22771, -26551?\n\"Answer: -g**3 + 18*g**2 - 3887*g + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-92)\/(-28) + 5 + -8. Let n be 1\/(-4) + (-5)\/(-4). Let s = n - 1. Which is the nearest to 0.1? (a) v (b) -3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n**2 + 9*n - 10*n + n.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/7 of a week in hours?\nAnswer: 1536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 57 + 26 - 23 - (31 - 9)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 0 - 3262*o + 3268*o + 2*o**2 + 4. Let g be z(-2). Solve g = k - 4*q + 16, 0*q + 3*q = -5*k + 12 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y. Let m(w) = -2217*w. Give m(d(s)).\nAnswer: -4434*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 38 - -133. List the prime factors of j.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103 = 8*h - 73. Let f = h + -22. What is n in f + 2\/13*n**4 + 10\/13*n**2 + 8\/13*n**3 + 4\/13*n = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -500, -2062, -4666, -8312, -13000, -18730?\n\"Answer: -521*j**2 + j + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 235, 245, 269, 313, 383?\n\"Answer: v**3 + v**2 + 233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 7:35 PM?\nAnswer: 9:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -173788300 rounded to the nearest one million?\nAnswer: -174000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 35320428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -12303 (base 6) in base 2?\nAnswer: -11100101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/9)\/(2\/204). Let w = t - -207. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*s + 4*g - 22, 0 = -4*s + 5*g + 77 - 98 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1225 and 150?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-726)\/19239 + (-4466)\/(-3180) + 2\/(-10).\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 131*b**2*h**3 - 55307*b**2 - 25*h**4 - h**2 wrt h?\nAnswer: 393*b**2*h**2 - 100*h**3 - 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**3\/2 + 1160549*l**2\/2 = 0. Calculate l.\nAnswer: -1160549, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - 6)\/(-5) - -3. Solve 2*b + 4*t - 20 = 0, -4*b - v*t = -8 - 12 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -o + 2*l + 66, 4*l - 160 = -2*o. Suppose -r + 7 = 5. What is the least common multiple of r and o?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2493 is divided by 1091.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -91, -4, 83, 170, 257?\n\"Answer: 87*n - 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*c + 184 = 69. Solve -8 = c*i - 23 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 751241?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2*w**3 - 318*w**2 - 322*w + 1114. What is x(-158)?\nAnswer: 2062","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -8*d. Let g(s) = -31*s + 5. Let v(w) = -13*w + 2. Let a(q) = 4*g(q) - 11*v(q). Determine u(a(c)).\nAnswer: -152*c + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from {g: 1, k: 1, m: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 200 = -4*s, -17*s + 23*s + 3*f = -120 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 0*u + u = -355, u + 713 = 2*a. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22453*r**5 - 9*r**2 + 6*r - 1?\nAnswer: 1347180*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -2*y + 25, -5*y + 0*g = 4*g - 79. Suppose -y*o = -22*o + 28. Solve -o = -3*f - 16 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 160200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 3 + 3 - 1 + 0 + (-1 + 2 - 2)*(4 + 0 - 5))*(4*p**4 - 6*p**4 + p**4).\nAnswer: -4*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 8 = -18. Is 6 a factor of ((-22)\/33)\/(t\/(-207))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 388*k**3 - 1171*k**3 + 372*k**3 + 355*k**3.\nAnswer: -56*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 610600 and 38700.\nAnswer: 5495400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5b6 + -4?\nAnswer: -5ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*t**4 + 17*t**4 + 3977 - 6*t**3 + 3*t**2 - 2*t**2 - 3947 as c*t + a*t**3 + q*t**4 + p*t**2 + s and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25263, -23404, -21543, -19680, -17815, -15948?\nAnswer: -14079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of 0*r + 0 + 1\/60*r**5 - 1\/2*r**3 - 1\/4*r**4 + 4*r**2. What are the prime factors of s(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, 1.\nAnswer: -5, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1366 - -1371. Let q = -52 - -248. Suppose 3*n + q = w*x, -n - 119 = -2*x - 40. Solve 4*j = -6*d + d + x, 4*d + 4*j = 36 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8999 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1826 = -6*v + 7376. What is the hundreds digit of (-1 - 6)\/(-1) + v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**7\/(j\/(j*j**(1\/8)))*j**(3\/23)*j*j**(-4) assuming j is positive.\nAnswer: j**(783\/184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 PM and 12:10 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1432 - 4?\nAnswer: 142b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g. Let c(s) = -885*s - 315. Let l(p) = -17*p - 6. Let k(j) = -2*c(j) + 105*l(j). Calculate -k(u) - 4*t(u).\nAnswer: 19*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18476*o + 18474*o + 13637*o - 50582*o.\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2536669 is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/3)\/(13\/2028*13).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/13 and -21\/169?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 21043, 21056, 21085, 21136, 21215, 21328?\n\"Answer: d**3 + 2*d**2 + 21040","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/m**(-5)*m**(-18) assuming m is positive.\nAnswer: m**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -3\/4 (b) 2 (c) 13\/6 (d) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b**2 + 43*b - 2 - 43*b)*(1 - 1 - b)*(2*b + 0*b - 5*b).\nAnswer: -15*b**4 - 6*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-32)\/(-12))\/(-4)*3)\/(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f - 4. Suppose 0 = m - 5*m + 16. Suppose 3 = -n - m*s, 4*n - 30 = 4*s + s. Calculate the least common multiple of 5 and i(n).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(7\/6)\/b**(-11)*b**(2\/13)*b\/b**(-28)*b assuming b is positive.\nAnswer: b**(3301\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 194445.9mg in tonnes?\nAnswer: 0.0001944459","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4381487 (base 9) in base 12?\nAnswer: 957897","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-150)\/12)\/(-122 + 121).\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sks. What is prob of picking 2 s?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 523*i - 260*i - 46 - 258*i with respect to i.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i*i*i**(29\/3)*i*i)\/i)**(-1))**(-8\/7))**(-13) assuming i is positive.\nAnswer: i**(-3952\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1224436 or -1224439?\nAnswer: -1224439","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 - h**2 - h + 1. Let z(l) = -l**3 - 12*l**2 - 3*l + 1. Let w be (78\/15)\/((-6)\/(-15)). Suppose w*b - 20*b = -7. What is b*z(c) - 3*q(c)?\nAnswer: 2*c**3 - 9*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 33185.25 litres?\nAnswer: 33185250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2446 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 + 57*w + 659. Is 3 a factor of g(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -178*n**2 + 2*n - 2. Let j(m) = 24206*m**2 - 273*m + 273. Calculate -2*j(c) - 273*u(c).\nAnswer: 182*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 v when three letters picked without replacement from yvllyyyvyyyvvlyy.\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (150\/(-8))\/(18227\/(-54648)*-3 + -1). Round c to the nearest one thousand.\nAnswer: -31000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = 5*d - 3*d - 3, 2*p = -5*d - 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1052171402.\nAnswer: 2, 526085701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*a**3\/9 + 952*a**2\/9 + 23134*a\/9 + 31040\/3 = 0. Calculate a.\nAnswer: -291\/5, -32, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 131\/20 + -29\/5. Suppose -9*t - 14*t = 23. What is the fourth biggest value in 3, t, x, 0.3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h**2 - 3*h**2 - h + 6999286 - 19925836.\nAnswer: h**2 - h - 12926550","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 + -17. Let f(t) = -2*t**2 - 16*t + 1. What is the remainder when 41 is divided by f(x)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 + 3*t - 2. Let y(d) = 3*d**2 - 17*d + 22. Let v(i) = -4*f(i) - y(i). Factor v(c).\nAnswer: (c - 2)*(c + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -219, -209, -173, -99, 25, 211, 471, 817?\n\"Answer: 2*j**3 + j**2 - 7*j - 215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -95, -966, -3475, -8486, -16863, -29470, -47171?\n\"Answer: -144*g**3 + 45*g**2 + 2*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-8)*15*(-2)\/3. Find the second derivative of 0*q + q + 9 - 6*q - w*q - 52*q**4 + 0 wrt q.\nAnswer: -624*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -22300 to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-16)\/t*t*t\/(t*t\/(t\/(t*(t**23*t)\/t))*t))\/((t\/(t**36\/t))\/((t\/(t**(-3\/10)\/t))\/t)) assuming t is positive.\nAnswer: t**(-47\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.17 - 3.2. Which is the third biggest value? (a) 4 (b) 1\/3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 + 36*m + 20. Let l be c(-26). Let a = -61 - 276. Let g = l - a. Is g a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 9:24 PM?\nAnswer: 5:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10 - -10 - 2)\/(4\/38)*-2. Calculate the highest common factor of 86 and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -27*a + 40. Let m(s) = -29*s + 39. Let j(f) = 5*d(f) - 6*m(f). Let g be j(1). Solve -u - 11 = 3*i + 1, -g*i = -4*u + 37 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72 = -6*a - 2*v, 2*a - 4*v = 6 - 30 for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*g + f = 118, 3*f + 3490 = g + 3564 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6968120 to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -62 times -4?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 34 + -31. Suppose 99 = 4*g + u*q + 608, -4*q = 12. Let f = -53 - g. What is the highest common factor of f and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 divided by -1239988.\nAnswer: 23\/1239988","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 820, 1644, 2468, 3292, 4116, 4940?\n\"Answer: 824*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + ((0 + 0)\/(-1))\/1. Which is the closest to q? (a) 3 (b) 1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) + sqrt(108) + -1 + -3 + sqrt(108) + 2 + 5 - (5*(-2 + sqrt(108)) + -4*(sqrt(108) - sqrt(108)*2) + sqrt(108)))**2 + 1.\nAnswer: -1092*sqrt(3) + 5462","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1066 divided by 1550.\nAnswer: -533\/775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**(-14))\/v*v)\/v)\/(v**(-13)*v)*((v**(-1\/2)*v*v)\/v)\/v**14 assuming v is positive.\nAnswer: v**(-31\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1307 - 967. Calculate the smallest common multiple of 20 and a.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17458151 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4734992, 18939970, 42614932, 75759878?\n\"Answer: 4734992*l**2 + 2*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w**3 + 23*w**2 - 23*w - 14. Let m(t) = -t**3 - 12*t**2 + 12*t + 7. Let l(u) = -3*f(u) - 5*m(u). Is l(-10) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 - 75*r**2 - 1355*r + 1308. Determine m(-42).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/5 + 0 + (-24)\/16\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 7225*i**2 - 18*i + 8. Let g be d(6). Round g to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeet when four letters picked without replacement from {t: 2, e: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 + 1. Suppose 282 = -15*f + 237. Let c(h) = -4*h**3 + h - 5. Give f*m(t) - c(t).\nAnswer: 7*t**3 - t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 4*v**2 - 10*v + 9. Give y(5).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54452 and 356?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -869*b**4 - 4*b + 805*b**4 - 1 + b**2 + 6*b + 0*b in the form s + u*b**4 + w*b + p*b**3 + h*b**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 + 3. Suppose 10*j = -480 + 1410. Let m be (-6 - 1)\/(j\/(-651)). What is the highest common factor of a and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by 2219.\nAnswer: 1\/317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -900041, -900114, -900183, -900248?\n\"Answer: 2*w**2 - 79*w - 899964","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -224087957.1 from 4.\nAnswer: 224087961.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -333 - -6?\nAnswer: -324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/(-3542)*-7 + (-5475)\/(-66)?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*f**2 - 17*f**3 - 12*f**2 - 20*f**2.\nAnswer: -17*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 877 - 867. Solve 0 = -p*d - 74 + 34 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1782, 7247, 16394, 29223, 45734, 65927, 89802?\n\"Answer: 1841*j**2 - 58*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -8. Let i be (-3)\/6 - 1\/(-2). Solve -4*s + 1 = -i*s + f, -2*s = g*f - 8 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32415 - 2*n**3 - 32415.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + 0. Suppose -5*r - k*j = -227, 6*j = -4*r + 4*j + 180. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - t - 16 = 0, -3*o - t + 11 = 23 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 382 - -328. List the prime factors of r.\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 + 1386\/(-91) + 3. Is -9 != c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2364691661 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 147 a factor of 35361652?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/3 (b) 2\/3 (c) -1 (d) 1 (e) -52\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 26, 3.\nAnswer: 2, 3, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*u**4 - 2367*u**3 - 14112*u**2 + 21153*u + 32886 = 0 for u.\nAnswer: -27\/4, -1, 2, 203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 461049950?\nAnswer: 2, 5, 23, 17431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of t**6\/7 + 2*t**5\/5 + 3*t**4\/14 - 2*t**3\/7 - 2*t**2\/7 + 9. Determine m, given that s(m) = 0.\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-99)\/(-4))\/(-11))\/(6\/16)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*w + 17622 = 23*w - 2*d, -3*d + 35216 = 4*w. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, b: 1, m: 1, y: 4}. Give prob of sequence pbm.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*y + 8*y + 22*y.\nAnswer: 39*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of -z**5\/60 + 7*z**4\/24 + 5*z**3\/6 + 8*z**2 + 4*z. Let x(i) be the first derivative of y(i). Determine x(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -29*z**2 + 323*z + 11. What is w(10)?\nAnswer: 341","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 11) in base 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of 1\/105*p**7 + 0*p**5 + 0*p**3 + 1\/60*p**6 - 4*p**2 + 0 + 0*p + 0*p**4. Factor v(d).\nAnswer: 2*d**3*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -478 + 477.9998958. Round y to 5 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 - -2)\/(-3 - -2). Suppose 2*x + 4 - 12 = y. Sort 0, x, -3 in ascending order.\nAnswer: -3, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 12 = a - 1, 5*b - 5*a - 35 = 0. Let w be 9\/18*2*-2. What is the tens digit of (b + -6 - w) + 67?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 46887186 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 - 8*b**2 + b + 13. Let c be v(-8). Is -13 < c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(3))*3*-1.\nAnswer: -3*sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 + 10*x**2 - 8*x - 8. Suppose -4*u = -2*l + 18 + 2, -5*l + 4*u + 44 = 0. Let z be 2 - -3 - (l - 12). What is w(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2205 divided by -441\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-141)\/(-12)*5)\/((-5)\/(-20)). Suppose 3*g = -2*g + h. Let z = g - 47. Solve 3*o + 4 - 13 = z for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 2)*(-15 + 10 + z + 20) + (0 + 0 - z)*(-11 - 1 + 2).\nAnswer: 12*z + 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -503 - -940. Calculate the greatest common factor of 57 and d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (52 + 23 + -24 + -13 + -1 + -5)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*l + a, 0 = 3*l - 0*a + 3*a + 6. Which is greater: 6 or l?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2562375?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3646.219 rounded to the nearest 100?\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1.21807 + -0.015720688\nAnswer: -1.233790688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3*s = 38, 0 = 3*j + 3*s + s - 114. What are the prime factors of ((-5)\/(-10))\/(1\/j)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 2*u - 0*u - 10, -2*t - 4 = 0. Suppose u*b - 25 + 1 = 0. Calculate the smallest common multiple of b and (24\/2)\/4 - -9.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1051 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*r - 25*r**2 + 4*r + 2*r**4 + 23*r**2 - r**3 + 2 to a*r**3 + g*r + p*r**2 + m + f*r**4 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 14 - ((-7 - -30) + -10)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a micrometer in nanometers?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 + 43*d - 73. Give h(41).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/4348 and 121\/1421796?\nAnswer: 1421796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 11:12 PM?\nAnswer: 4:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1270*r + 3 = 2857*r + 3 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/28)\/s*s)**30 assuming s is positive.\nAnswer: s**(15\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1245.9711 months?\nAnswer: 1.03830925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25797 + 28401. What is the greatest common factor of 672 and b?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from pcpcccc.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 752*i**3 + 743*i**3 - 2*i**2 - 3*i**2 + 2 - 2235*i**3 + 748*i**3.\nAnswer: 8*i**3 - 5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2144 = -n - 476. What are the prime factors of n + (-2 - (-56)\/(-8))?\nAnswer: 3, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 q when two letters picked without replacement from qiqiii.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 - 6*p**2 + 7*p + 5. Let l be i(-5). Let o = l + 97. Suppose 18 = 2*u - o. Is 15 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/6*5*3. What is the third derivative of -5*d**2 - 3*d**g - 7*d + 7*d - 4*d**5 wrt d?\nAnswer: -420*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2142321?\nAnswer: 3, 714107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -31 + 51 - (14 - -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.96 - 0.04. Let i = -367 - -554. Let t = i + -191. Which is the nearest to g? (a) -0.5 (b) 4\/9 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 497776585?\nAnswer: 5, 99555317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-70 - (-67 + 36)) + 45\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (792\/(-528))\/((30\/64)\/((-2)\/72))?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.0472681 and -0.2.\nAnswer: -0.2472681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*a - 40*a = 35*a - 465648. What is the greatest common factor of a and 218?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2231025 millennia to centuries.\nAnswer: 2.231025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -27*d - 5. Let g be i(-1). Suppose 30*m - 31*m + g = 0. Suppose -12 = -4*u + 28. What is the least common multiple of u and m?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 - 2 - (-7 + 14 - -36 - 28)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -4. Suppose 5*l = c*x + 69, -2*l - 2*l + 2*x = -54. Suppose -3*j = j - 32. Calculate the remainder when l is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 + 3*x**2 - 4. Let r be d(3). Let o = 2 + r. Let v = 0 - o. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = k + 6*k + 3*l, -4*k + 5*k = l for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + -33 + 4\/1. Let h = a - -66. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h - 3*h**2 + h)*(2 - 4 - 1).\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i + 5*i - 3*i)*(i**4 - 2*i**4 - i**4) - 218*i**3 + 47*i**5 + 7*i**5 + 230*i**3.\nAnswer: 58*i**5 + 12*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 5782, 11547, 17284, 22975, 28602, 34147?\n\"Answer: -3*r**3 + 4*r**2 + 5774*r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 - 13*o - 22. Let g = 60 - 45. Let x be n(g). Let r = 69 - x. Does 34 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*f - 419 - 3867 = 1202 + 554 for f.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26354, 52709, 79064?\nAnswer: 105419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6145 is divided by 220?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 - 2*l - 5. Let t(b) = 2*b**2 + b + 1. Let z(u) = f(u) + 2*t(u). Suppose z(c) = 0. Calculate c.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r*r*r**(-2)*r)**(10\/3))**16*(r**(-1\/4)\/(r*(r*r*r**(3\/13))\/r))**(-4) assuming r is positive.\nAnswer: r**(2209\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.9214 - -0.921390846. Round f to six decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.09 + 3.91. Let r be 9\/18*2\/6. Sort -2, -1\/5, r, x in increasing order.\nAnswer: -2, -1\/5, r, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 201 minus 555?\nAnswer: -354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gmcn when four letters picked without replacement from nggcm.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6354931636?\nAnswer: 2, 17, 93454877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1 (b) -2 (c) 0.07 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z. Let s(c) = -148*c. Let a(v) = 2220*v. Let o(q) = 5*a(q) + 74*s(q). Give o(f(b)).\nAnswer: -148*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 668937953 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of d**6\/1260 + d**5\/140 + d**4\/42 - d**3\/2 + 2*d. Let f(u) be the second derivative of r(u). Find v, given that f(v) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -38\/17*u**4 - 2\/17*u**5 + 42\/17*u**3 + 0 - 40\/17*u + 38\/17*u**2 = 0.\nAnswer: -20, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*f**2 - 1480*f**2 + 1440*f**2.\nAnswer: 54*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*k + 0*k + 5*k + 430*k**2.\nAnswer: 430*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -275170 * 1.2\nAnswer: -330204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31 - 26. Suppose n - 2 = -1, 3*n = v*x - 42. Suppose 0 = -10*o + x*o. Solve -y - 5*h - 3 = o, -y + 7 = -0*h - 5*h for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -1116493.\nAnswer: -4\/1116493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 7*d + 2*d - 13.\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 63 = 285. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 73878.9198 to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18.29 - -2.69. Let m = v + 15.60049. Round m to 3 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10 - 1\/((-228)\/(-2299)). Which is the second biggest value? (a) 0 (b) 2\/5 (c) -47\/6 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/91512 and -131\/5983434.\nAnswer: 981283176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o - 5*o + 3*o)*(-o**2 + 5*o**2 + 2*o**2)*(-2 + 2 + 2*o**2).\nAnswer: 12*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 + 18. Suppose c*q - 6*q = 4. Solve -q*s = -2*o + 5 + 15, -4*s - 5*o = 20 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54410 (base 12) in base 15?\nAnswer: 22e20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35923, 35975, 36025, 36067, 36095, 36103?\nAnswer: 36085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i + 7. Let p(y) = y**3 + 6*y**2 + y - 7. Let m be p(-5). Let f(o) = 2*o - 15. Let k(d) = m*x(d) + 6*f(d). List the prime factors of k(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -29b5c + 5?\nAnswer: -29b57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -276229 (base 11) to base 10.\nAnswer: -432848","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4175)\/(-334))\/((-10)\/(-4)). Put 2, -1, 0, s in ascending order.\nAnswer: -1, 0, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16.59 - -0.41. Let i = u - 16. Which is greater: 2 or i?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t - 12*t + 7845 = 5*u, 0 = -3*t - u + 7833. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 - 24*h + 133. Let x be g(14). Is 6641 + (x - (-15)\/5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + 5*v + 0*v)*(1272*v**2 - 18 + 15 + 3).\nAnswer: 3816*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - -412210303?\nAnswer: 412210244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = -3*f - 6. Suppose 0 = -s + 3*s + y - 169, -f*s + 2*y = -178. Suppose 0 = 9*q - s - 49. What is the remainder when 27 is divided by q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3400827\/1192122 + 2\/(-103)?\nAnswer: 17\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -196*k + 2224 + 1135 = -757 for k.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -438 + 220 + 218 - 723*h as x*h + g and give x.\nAnswer: -723","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (132\/72*-3)\/(3\/6)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 5*s = 2, -71*t = -74*t - 2*s + 7 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-2*1*sqrt(1216))**2 + (sqrt(1216) + -3 + -1 + sqrt(1216))**2)*-5.\nAnswer: -1280*sqrt(19) + 97440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27 - -37) + (-2 - (1 + 10)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 9, l: 2}. Give prob of sequence lld.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, 1, 4 in increasing order.\nAnswer: -4, -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*s - 364 + 4 for s.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3098157 divided by 3098157?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -8*c - 12. Let p(d) = d**2 + d - 1. Let v(r) = k(r) - 12*p(r). What is the second derivative of v(z) wrt z?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4268 and 16907?\nAnswer: 6559916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 146 - 173. Let x be (d\/(-6) - 4) + 34\/4. Suppose 6*t = 4*t + 90. What is the greatest common divisor of x and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11139 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-8)\/10)\/((-21)\/15 - -1). Let p(s) = 3*s**2 - 2*s - 2. Give p(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 7*d**2 - 23*d + 112. Let g be x(5). Is 687\/4 less than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 24*x + 5. What is s(1)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 9 = 163. Let p = v - 76. What is o in 6*o**2 - 11 + 5*o + p - 5*o**4 + 9*o**2 - 5*o**3 = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10004 (base 5) to base 4.\nAnswer: 21311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(-10))\/(3\/5)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -105209 in -1, -0.3, -0.0038?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*h**2 + 2*h + 13*h**2 + 15*h wrt h.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9073 - -16398. Suppose -4*b + 4675 = -a. Round b to the nearest 100.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4192 is divided by 693?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -10*b + 13. Let r be u(8). Let f = -2 - r. What are the prime factors of f?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*x + 5*s + 30, -3*x - 5*s - 122 = -108 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 + 56 + 4595*z**2 + 5401*z**3 - 4595*z**2.\nAnswer: 5401*z**3 + 73","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d. Let n be (-1 + 0)*-1 + 1. Let k(x) = 1 - 4*x**2 - x**3 + 4*x**n + 5*x. Give 2*k(g) + 5*r(g).\nAnswer: -2*g**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 2761142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 3 = -1. Let y be (h\/2)\/((-6)\/18). Solve 3*d = y + 3 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of 1991*g**7\/7 + g**6\/3 - g**3\/3 + 15*g**2\/2 - 10*g + 7730. What is the third derivative of h(j) wrt j?\nAnswer: 238920*j**3 + 120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -4*m**2 - 51*m - 40. Let l(g) = g**2 + 13*g + 10. Let j(b) = 9*l(b) + 2*u(b). Let w be j(-15). Solve 6*i - 20 = w*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -60*m. Let f be q(-1). What are the prime factors of (-11)\/((-22)\/f) + -2?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from opopplopovmpmvpll. What is prob of picking 2 m, 1 l, and 1 o?\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 AM and 11:02 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159*p - 4878136 - 5058181 = -322*p. What is the ten thousands digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44922?\nAnswer: 2, 3, 7487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.02, 2\/13, 1, -3 in descending order.\nAnswer: 1, 2\/13, -0.02, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 470299151 to the power of 1\/2, to the nearest integer?\nAnswer: 21686","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 4 = 4*n, -4*n - 3*g + 7*g - 20 = 0. Let h = -22.7 + 23. What is the closest to 5 in n, -2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - 8*z**2 - 23*z + 29. Let h be v(10). Sort 0.3, 1\/4, -8, h in descending order.\nAnswer: 0.3, 1\/4, h, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 16 - 3*p - 2 + 4*p. Let d be n(-14). Suppose -5*y + y = d. Solve -b + 2 = -y*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*x + 3*x + k, 0 = k - 2. What is the closest to 0.18 in x, 0.5, 5\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1351 - 3997\/3. Calculate the common denominator of w and 2\/8 - 146\/16.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1089138515.\nAnswer: 5, 7559, 28817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33a5 (base 11) to base 15.\nAnswer: -14d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-9)\/(-2)*2440\/60?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139387 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 + 4*d**2 + 7*d - 7. Let x be r(5). Find the third derivative of 2*y**2 - 77*y + 77*y - x*y**5 wrt y.\nAnswer: -180*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -578.8564 rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a decade in years?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 44842331 and 1795.\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -3\/5, -218422, -2, 2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -1, -0.01 in ascending order.\nAnswer: -5, -1, -0.01, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -11.24, -0.3, 1, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-2))\/(4\/120*5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 502\/2640 + (-2)\/11. Let s(l) be the third derivative of 1\/180*l**5 + 0 + 1\/210*l**7 + 1\/1008*l**8 + v*l**6 + l**2 + 0*l + 0*l**3 + 0*l**4. Factor s(y).\nAnswer: y**2*(y + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18726258?\nAnswer: 2, 3, 41, 76123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of 1\/21*y**7 - 43\/12*y**4 - 1\/15*y**6 + 0*y**5 + 0 + 0*y**2 + 0*y**3 - 44*y. Find the third derivative of f(t) wrt t.\nAnswer: 120*t**2 - 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -521 + 2082. What is the greatest common divisor of 21 and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.4, -2\/9, 202, -1\/3.\nAnswer: -3.4, -1\/3, -2\/9, 202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2964?\nAnswer: 2, 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1.9 times -3\nAnswer: 5.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qjj when three letters picked without replacement from {q: 6, j: 3, n: 8}.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 35175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*s + 117*s = -3683 - 2155 for s.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8700161449 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 2*v = -a + 30, 6 = -a - 2*v for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 2256 = -8*c. Suppose 2*k - c = 2*s, 3*k + 6*s = 3*s + 558. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -358 = 288*v - 1615 - 3351 for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 4*p**3 - 6*p**2 - p - 4. Let q(x) = -3*x**3 + 5*x**2 + 2*x + 4. Let c(r) = 2*o(r) + 3*q(r). Let l be c(4). Which is greater: l or 1\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*k**2*m*n - 272*k*m**2*n + 54*m**2*n wrt k.\nAnswer: -4*k*m*n - 272*m**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12210 (base 3) to base 14.\nAnswer: -b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = 7*r - 2. Let h(j) = -50*j. Let v(c) = 3*c. Let t(x) = -63*x + 5957. Let l be t(94). Give l*v(f) + r*h(f).\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*o**2 + 716*o + 161*o**2 - 54*o**2 - 56*o**2.\nAnswer: -2*o**2 + 716*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b + 2*b - 2*b - 50*b**2.\nAnswer: -50*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4\/207 and -2\/11?\nAnswer: 2277","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 74444087 to the power of 1\/2, to the nearest integer?\nAnswer: 8628","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let a = 527.586477002 - 0.586876002. Let q = -527 + a. Round q to four dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 + u - 2*u + 0*u**2. Let r be ((-16)\/(-4))\/(1 - -1). Let m(b) = 3*b**2 - 12*b + 25. Let j(w) = r*x(w) - m(w). Find v such that j(v) = 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) 2 (c) -0.08 (d) 4 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -3*(sqrt(1216) - (-4 + sqrt(1216) + 0))**2 + (4*-2*sqrt(171))\/((sqrt(72)*3)\/sqrt(8)).\nAnswer: -47 - 8*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1110 and 60.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((2*sqrt(567))**2 - ((sqrt(77) - sqrt(77)*2)\/sqrt(11))**2).\nAnswer: -6783","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 608 + -378. Let r = 230.1 - o. Which is the nearest to 0? (a) 5 (b) 1\/9 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = 3*x - 30*x - 84, i + 10713*x + 6 = 10710*x for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**12)**(-17)*(l\/l**(7\/8))**40 assuming l is positive.\nAnswer: l**(-216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 71840 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-3*((-2*sqrt(192) + -2 + sqrt(192))*-6 - (sqrt(192) + 1 + sqrt(192)*1 - 1*sqrt(192)*-3)))**2.\nAnswer: 1584*sqrt(3) + 2812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4635 and 40788.\nAnswer: 203940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4940 and 228?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -44234 (base 5) to base 12\nAnswer: -1939","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89 - 178 = -3*x. What are the prime factors of x?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*z**3 - 128 + z**3 + 129 + (0 + 3 - 4)*(5 - z**3 - 5) to the form f*z + i*z**2 + q + v*z**3 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27 - -26. Which is smaller: l or -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -11661 and -11659 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2. Let t(z) = -6 + 29*z + 32*z - 62*z. Let s(i) = 7. Let y(n) = 6*s(n) + 7*t(n). Determine y(h(l)).\nAnswer: 7*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 6, 619, -3, 5 in ascending order.\nAnswer: -4, -3, 2, 5, 6, 619","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 53914?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 0.5 (b) 3\/4 (c) -78 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-22))\/(43\/(-6622)*14).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6713915.3 to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i**3 - i**3 + 2*i**3)*(3*i**2 + 2*i - 2*i) + (3*i**2 - 8*i**2 + 3*i**2)*(117*i + 13*i**3 + 107*i - 228*i).\nAnswer: -32*i**5 + 8*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 9460478, 9460477, 9460476, 9460475, 9460474?\n\"Answer: -l + 9460479","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -0.35 (c) -0.2 (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b**2 - 11546*b**3 + 11567*b**3 - 2*b**2.\nAnswer: 21*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of 0*c**2 + 0 - 4*c + 4\/3*c**3. Let t(l) = 4*l. Give t(v(z)).\nAnswer: 32*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 - 14*n**2 - 42*n - 35. Give i(-10).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -197, 65, 791, 2215, 4571, 8093?\nAnswer: 13015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of x**7\/2520 + x**6\/80 + x**5\/24 - x**4\/6 + 2*x. Let n(l) be the third derivative of b(l). Is 4 a factor of n(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 26*b**2 + 23*b + 142. Let n(w) = -9*w**2 - 8*w - 47. Determine 6*f(v) + 17*n(v).\nAnswer: 3*v**2 + 2*v + 53","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - -3. Suppose -13*l + 344 = -u*l. Suppose 2*c + 10 - l = 0. What are the prime factors of c?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*p + 15 = -19*p + 1071 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (1 - 3)*-5*(-3)\/99 and 71\/24.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 - 5)*(1 - 8 + 0)*(2 + 1 - 2)*(-3 + 2*j + 3)*(2*j - 4*j + j) in the form y*j + x*j**2 + v and give x.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((9*g + 2 - 2)*(-1 + 1 + 2) - 2*g + 5 - 5)*(7 - 15 - 3).\nAnswer: -176*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*t + 11*t. Suppose -k + 5*h = -6, 0*k - 5*k + 2*h + 76 = t. Calculate the greatest common factor of 144 and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21923149 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*c*o*r**3 + 13*c*o + 8*c*r**3 + c*r**2 + c + o*r + 2*r wrt r.\nAnswer: 18*c*o*r + 48*c*r + 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6108 and 11232?\nAnswer: 5717088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 329 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 362 + -233. Let b(z) = j + z - 129. Let o(l) = 7*l. Calculate o(b(h)).\nAnswer: 7*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 14*n. Let r(t) = -5*t. Let p = 14 - 31. Let a(o) = p*r(o) - 6*s(o). List the prime factors of a(12).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 625*(-5 + -5723 + 0). What is p rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 46 - -23. Let t = 72 - i. Suppose t*p - p - 137 = -v, -755 = -5*v + 4*p. List the prime factors of v.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/12)\/((-2)\/(-12)). Suppose -f = c*f + 4*w - 84, 4 = -2*w. Calculate the greatest common divisor of f and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 6*n - 144 = -4*n + 26, 16*n = 48 for c.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (3 + (sqrt(11) + 4 + 3 + 3 - ((sqrt(11) - (3 + sqrt(11)*-4)) + 4)))**2.\nAnswer: -96*sqrt(11) + 321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2314 and 164897954.\nAnswer: 2314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1107 and -61.011.\nAnswer: -1168.011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003822 to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z**3 - 6*z**2 + 8*z - 22. Is o(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w - 1. Let s(t) = -t**2 - 19*t - 18. Let o(g) = 3*n(g) - s(g). Let h be o(-15). Let v(d) = -d**2 - d - 5. Determine v(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 + 2*n**2 - 35*n + 20. Calculate the remainder when y(9) is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 1684*u. Let p be f(1). Suppose -p = -3*t + 1535. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to -139\/4263?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -4348*m**3 - 88929*m - 4461*m**3 + 88947*m + m**2. Let f be k(8). Round f to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -6*(6*5*sqrt(750) + sqrt(750))\/((sqrt(10) - sqrt(90)\/(2*sqrt(9))) + (sqrt(640) - (sqrt(640)*1 - sqrt(640)) - sqrt(10))).\nAnswer: -124*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*o**2 - 14*o**2 + 12 - 13*o**2.\nAnswer: -3*o**2 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 600693?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 78491 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 142395935 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k - 1. Let q be s(-2). Let g = 93.9 + -90. Let w = -4 + g. Do w and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2937 and 0.023?\nAnswer: -67.551","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -0.1, 0.15818 in descending order.\nAnswer: 0.3, 0.15818, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 3*l + 6, 4 = 5*m - 8*m - 2*l. Solve m = -5*t + t + 4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 20*c**2 + 70*c - 495. Calculate z(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 6*z. Suppose -198 = -3*q - 0*q. Suppose -5*u + 3*v - 327 - q = z, 5*v = -5*u - 385. What is u rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o - 3. Let w be z(3). Let c be (3 - -1) + 0 + w. Suppose 5*i + 85 = 2*d, c*d - 3*i - 191 = 3*d. Is d a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j**3 + 10*j**3 + 6*j**3 + 2*j**3.\nAnswer: 18*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from rnronrnnronongrong.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.04 - 0.04. Let u = 8 - g. Let x = 4 - 6. What is the nearest to x in u, -4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 19. Factor 19*t**5 + 2*t**3 - k*t**5 - 13*t**5 - 2*t**2 + 2*t**4.\nAnswer: -2*t**2*(t - 1)**2*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 174*z - 342*z + 169*z + 19*z**3 - 3*z**2 - 22*z**3 + 2. Suppose 24 = -4*c + 4*u, -3 = -4*c - 4*u + 5. What is q(c)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1372 divided by -7?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 113805 and 10935?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 927*m - 928*m = -5 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 283 is divided by 59.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 AM and 2:53 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -5*(sqrt(304) + -1) - -5*1*sqrt(1900)*-3.\nAnswer: -170*sqrt(19) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29188, -116761, -262716, -467053?\nAnswer: -729772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*k + 84*k - 48 = 0. Let i(h) = 6 - k - 2 + 0 - h. Let u(o) = 5*o + 1. What is -2*i(g) - u(g)?\nAnswer: -3*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of d**5\/60 + d**4\/8 - d**3\/2 - 2*d**2. Let j be a(2). What is the greatest common factor of 7 and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*s**3 - 78 - 24*s**2 + 158 + 15*s**3 - 79 as g*s + p + h*s**3 + t*s**2 and give h.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + p + 402 = 0. Suppose 65 = 6*q - 355. Suppose 3*x - 35 - 7 = -b, 5*x - 2*b = q. What is the remainder when p is divided by x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48105364 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -3*o - 1. Let g(q) = 100*q - 1 - 94*q + 5 - 2. Calculate -6*g(m) - 11*z(m).\nAnswer: -3*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/3))**(-24\/11)\/(p\/(p**(-14)*p*p)*p**(-2\/29)*p) assuming p is positive.\nAnswer: p**(-4212\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 53299*c**2 + 48*c + 50. What is the ten thousands digit of w(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 93 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 - 7*y**2 + 8*y - 1. Let f = -7 + 9. Suppose -4*z = v + 16, 8 = -f*v - 0*z + 4*z. Let k be m(v). Sort k, 0, 2\/15.\nAnswer: k, 0, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 918?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -910, -1849, -2788?\n\"Answer: -939*g + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1159, -1157, -1155, -1153?\n\"Answer: 2*k - 1161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(70) - (6*sqrt(70) - sqrt(70)) - sqrt(70))\/sqrt(5))\/((sqrt(176)\/sqrt(8))\/sqrt(11)) + 4.\nAnswer: -25*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (27\/(-351))\/(1\/8*4)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 - 9*u - 2. Let c be q(-6). Suppose 3*v + v - c = 0. Is v\/1 - (-4)\/4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 574 is divided by 440?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - -13. Suppose 0 = 3*o + 2 + d. Is 8 a factor of o\/(2\/(-1)) - -53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5821, -1 in decreasing order.\nAnswer: 5821, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 13\/80 or -54?\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*s - 1541 = -45*s + 21*s. Solve 0 = -11*b + s*b - 84 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -82 + 76. Let h(a) = 3*a**2 - 5*a - 4. Let i(j) be the third derivative of j**5\/30 - j**4\/8 - j**3\/3 + 2*j**2. What is m*h(x) + 5*i(x)?\nAnswer: x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = 4*d, 8 = -22652*q + 22650*q + 2*d for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 818767 and 361.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -2*a + 2*k + 2*k, 5*k + 133 = -4*a. What are the prime factors of (-1 - a) + (-3)\/(-1)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(192)*4)**2 - (sqrt(192) + (sqrt(192) + -1 + 0 + sqrt(192))**2))*4.\nAnswer: 96*sqrt(3) + 21500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - f = 16. Let v be (-3 + (f - 2))*0. Solve 9*c - 4*c - 15 = v for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2160)*1*6*3)\/(-3*-5*(sqrt(192) - (sqrt(192) - (sqrt(192)*-1 - sqrt(192)) - sqrt(192)) - sqrt(192) - sqrt(192))).\nAnswer: -3*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0019641 rounded to 4 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 638154.7 rounded to the nearest one hundred?\nAnswer: 638200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35392611086 - 44*i + 35392611086.\nAnswer: -44*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2768949024?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2224170 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3970452611?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 AM and 5:42 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 - 204.918012.\nAnswer: -206.918012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -266*r - 3985. Let c be k(-15). Solve -4*x + 10 = 2*z, 1 = -c*z + 7*x - 4*x for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a minute in seconds?\nAnswer: 1110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -46 + -6?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, -1435.1, 3, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/190 (b) -1\/5 (c) 2 (d) -3 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 564 and 859.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -71698 - -129505. What is the hundreds digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -5*f - 9, 0 = -0*f - f - 5*a - 21. Let i be (f - -2)*0\/4. Let s(b) = -b - 11. Determine s(i).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -7*x**3 - 499*x**2 + 121259*x - 192. What is j(-172)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1235433 (base 6) in base 13?\nAnswer: -24861","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1432 and 324.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9 * -134.\nAnswer: -1206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 4 - w**2 - w**3 + 3*w**2 + 0 + 50*w - 45*w. Let c = 10 - 6. Calculate the remainder when k(-2) is divided by c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2444*y**2. Let d(f) = 5*f. Calculate d(s(l)).\nAnswer: -12220*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 191177341 to the nearest integer?\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + 21594\/(-3) - (-92 + 86). Round q to the nearest one hundred.\nAnswer: -7200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-21))\/(423\/(-94)*1\/6).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205455 is divided by 67.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 c, and 1 d when three letters picked without replacement from {x: 2, d: 5, y: 1, p: 2, c: 2, b: 1}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-three thirds of a century?\nAnswer: 17200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2 + -0.3. Let q = -14 + 18. Is d greater than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - w - 365896 = 3*l, -3*l + 4*w = -548829. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/4 and 7\/(138\/(-34) + 3).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24 - -25.3. Let u = f + -0.3. Let m = -1.5 + u. Which is the biggest value? (a) m (b) 0 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 25\/(-35) - (-4)\/(-14). Let q(c) = -c**3 + c**2. Let b(s) = -6*s**3 + 5 + 6*s**2 - s**3 - 5. Determine a*b(z) + 6*q(z).\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 105209250 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 188071 and 38272?\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**3 - b**3 + 2*b**3 + (-5*b + b + 3*b)*(-1 + 1 + b**2) + 2*b**3 - 5*b + 5*b + (b**3 - 5*b**3 + 12*b**3)*(2 - 4 - 1) + b**2 - b**3 - 2*b**3 - 5*b**3.\nAnswer: -30*b**3 + b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 94347079 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*a**3 + a + 3*a**2 - 4*a**2 + 4*a**3 + 2*a**2 + 8*a**4 to m*a**4 + x*a + c*a**3 + o*a**2 + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of 205*u**4\/2 + u**3\/3 - 29*u**2 + 480. Find the third derivative of x(l) wrt l.\nAnswer: 2460","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -351*s + 4565. Let o be b(13). Let j(t) = -t**3 - t. Let x(v) = 4*v**3 - 15*v**2 + 3*v - 2. Give o*j(y) + x(y).\nAnswer: 2*y**3 - 15*y**2 + y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(3 + sqrt(38)\/(sqrt(2)*6) + (sqrt(228)\/sqrt(432))**2).\nAnswer: -127\/9 - 2*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*t + 8, -10*q + 4*t + 164 - 301 = -61 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**2\/9 + 823584388*b\/9 - 84786405519666818\/9 = 0. What is b?\nAnswer: 205896097","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 114 - -300. Suppose -376 + 124 = -3*j - 3*y, 5*j - y - x = 0. What are the prime factors of j?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4634080 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2894525797.\nAnswer: 19, 271, 29587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*o**3 + 290586*o**2 - 10153385*o wrt o?\nAnswer: 18*o + 581172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of -31*d**7\/21 - 16*d**4\/3 + 8*d - 6. What is the third derivative of t(k) wrt k?\nAnswer: -3720*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12698938 and 4949?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - k - 3*k, -2*x + 4 = -k. Suppose -3*p - x*c = -221, p = -c - c + 77. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*q - 1619 = 109*q + 1261 for q.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*b = -2*c - 55*b + 1, 2*c - 4 = -4*b for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -63 and -4.\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 30584721?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -7*m**2 + 2*m + 2. Let t(w) = -70*w**2 + 21*w + 21. What is -21*o(i) + 2*t(i)?\nAnswer: 7*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -259740 - -479639. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*l = 5*p + 26*l - 784, p - 157 = -l. Let n be (-1 + 0)*(-117 - 0). Calculate the highest common factor of p and n.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -166187*g + 166187*g - 5*g**3 + 6.\nAnswer: -5*g**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 3 + 6*u**2 - 3 + 1 + 1 - 4. Let g(t) = -24*t**2. What is g(h(y))?\nAnswer: -864*y**4 + 576*y**2 - 96","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of a**6\/600 + 9*a**5\/100 + 67*a**4\/60 + 28*a**3\/5 - 26*a**2 - 75*a. Factor w(m).\nAnswer: (m + 2)*(m + 4)*(m + 21)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/39860524 and -39\/1410992?\nAnswer: 159442096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 k when two letters picked without replacement from ppbkbcpckpcynnpnnkcp.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 215 divide 5616454?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3148846058 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 - 357.5?\nAnswer: -357.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 9 - 39. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one fifth of a centimeter?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -m - 6*m. Let a = -6 + 9. Let d(h) = h**3 - 3*h**2 + 2*h - 3. Let t be d(a). Solve -t*c + 0*j = -j + 3, -m*c + 5*j = 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/35, -388, 3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*c - t + 9*t - 14, 3*c = -3*t + 12 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (77\/(-14))\/((-3)\/(-6)) - 2. Calculate the remainder when 25 is divided by g\/(-4) + (-30)\/(-40).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.04*8\nAnswer: -0.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*i + 2565 = -64*i. What is the remainder when 519 is divided by i?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, q: 15}. Give prob of sequence qnqq.\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*b - 4059 - 1229 + 4.\nAnswer: -15*b - 5284","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 175 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*z + 26*z - 13*z)*(-147 - 4*z + 147)*(-152 + 46*z**3 + 152).\nAnswer: 184*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3053 divided by 15?\nAnswer: 3053\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**5 - 130*l**4 + 570*l**3 - 880*l**2 + 595*l - 150.\nAnswer: -5*(l - 1)**4*(l + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**2\/4 + 12749621*u\/2 - 162552835643641\/4 = 0. What is u?\nAnswer: 12749621","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(2\/5))**(-48)\/(q**(-2\/5))**(5\/8))\/(((q*q**1*q*q)\/q)**(14\/11)\/(q\/(q*q**2))**36) assuming q is positive.\nAnswer: q**(-20849\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**5 - 11185*z**4 - 11190*z**3 + 44740*z**2 + 44744*z = 0 for z.\nAnswer: -2, -1, 0, 2, 11186","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.31 in -3.8, -2, 8, 5, -1\/11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20091\/9 - (-4)\/(-12)?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 515 divide 135226554?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -5*r - 4*h + 7, 5*h - 8 = 2*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 16 + 3 - (5 - 4 - (-9 - -7))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-f - 8*f + 2*f)*(174 - 574 - 445) to y*f + k and give y.\nAnswer: 5915","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -42271\/2, 115, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 87961, 87958, 87955, 87952, 87949, 87946?\nAnswer: 87943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(88) - sqrt(88)*3)*-5)\/(sqrt(128) + sqrt(128) + sqrt(128) + (4*sqrt(128) + sqrt(128) - sqrt(128)) + sqrt(128)) + 5)*1)**2.\nAnswer: 25*sqrt(11)\/8 + 6675\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.054935 and 3864.01.\nAnswer: 3863.955065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(-7)*(-2)\/3. Let x = 34.9 - 35. Which is bigger: d or x?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26483605 - -49773605. What is k rounded to the nearest one million?\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-7605)\/17680)\/((-6)\/8) and 87\/646?\nAnswer: 1292","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l + 6. Let r(a) = a**2 + a + 1. Let d(u) = 4*u**2 + 3*u + 3. Suppose -39*n = 155 + 79. Let j(o) = n*r(o) + 2*d(o). Determine k(j(c)).\nAnswer: 2*c**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - 2 + 2)*(14*o**3 + 3*o**3 + 2*o**3).\nAnswer: 38*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 377, 1529, 3461, 6179, 9689, 13997, 19109, 25031?\nAnswer: 31769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 364?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 - 3*z + 7. Let u be p(-5). Let n = u - -3. Suppose n = 2*w + 1 - 11. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2575251 at most as big as -2575245?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*i + 4 = 23*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24853.930134 + 24854. Round r to 2 decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -2\/5 (b) 0.2 (c) -1\/6 (d) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + -10 + 17 + (1 - -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -0*s + s. Let p = s + 3. Sort p, 3\/4, -4 in increasing order.\nAnswer: p, -4, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.213 + 0.503. Let a = 0.143 - 0.853. Let q = n - a. What is the closest to 2\/5 in 2\/11, q, -2\/3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -214*r + 2644 = 290 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1482*k + 1804*k + 3286*k + 90200 = 0 for k.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*h**3 - 350*h**2 + 1920*h - 1120.\nAnswer: -5*(h - 4)*(h + 28)*(3*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-30)\/252888*-18965 - (-36)\/(-16). Is 0 < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 - 0.2. Let d(n) = n**3 - 16*n**2 + 37*n + 4. Let u be d(3). Put -1, u, h in decreasing order.\nAnswer: h, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -138450.596 rounded to the nearest 100?\nAnswer: -138500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 7*y - 56. Calculate w(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*b**4*q + 22*b**2*q**3 - 11*q**3 - 4 with respect to b.\nAnswer: -32*b**3*q + 44*b*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 219279.\nAnswer: 3, 19, 3847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 52 - 5?\nAnswer: 4d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, v: 1, p: 3}. Give prob of picking 3 p and 1 g.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 3*s + 4 = 0. Suppose r = 3*y - r + s, -3*y = r - 5. Let x(u) = -1 - 14*u + y. Let p(t) = -t. Give p(x(a)).\nAnswer: 14*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58373183.\nAnswer: 11, 482423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(9\/2) - (385\/55 + -29 + 0).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3470*o - 3454*o - 128 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -82*l**3 - 5*l**2 - 3*l + 1. Let f be h(-1). Let p(i) = 5*i**3 + 13 + 71*i**2 - 11*i - f*i**2 + 2*i. Is p(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (18\/3 - -1) + -1. Suppose p - t = -2*p. Suppose -277*j + 279*j = 6. Put j, 14, p in decreasing order.\nAnswer: 14, j, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 - -0.2. Let k = m + 0.4. Suppose -g = g + 8. Put 1, k, g in decreasing order.\nAnswer: 1, k, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 195712925?\nAnswer: 5, 17, 191, 2411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 1.2. Suppose -8 = -4*p - 4. Let y be 3\/(-1 + -2 - p). What is the nearest to y in 1, x, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 392 and 104174.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 15 = -v, 2*r = v + 3 - 16 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 73313 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*x - 11*x = 2*j - 26, -5*x + 2*j - 29 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - l = -14, -3*o - 4*l + 3 = -8. Let v be (0\/(-4) + 2\/(-6))*-31. Which is smaller: v or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 11, t: 3, j: 1}. What is prob of sequence tjp?\nAnswer: 11\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of a**5\/60 + a**4\/12 + 9*a**3 + 6*a**2. What is the tens digit of p(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mn when two letters picked without replacement from nmnsvws.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -261.1745 + -5.\nAnswer: -266.1745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*j = j - 35*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 37?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5423.02894 - 5423. Round j to 3 dps.\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 380 and 2840?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -534, -58, -70 in ascending order.\nAnswer: -534, -70, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6074 is divided by 54?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from {l: 1, v: 7}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-1 - ((-3 - 1) + 8)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 2*v - 20 = 0, -78*h - 8 = -74*h - v for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 1)*(176*n + 6241 - 6241) + 2*n - 5 + 5.\nAnswer: 178*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 382, 684, 986, 1288, 1590?\nAnswer: 1892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(612) - (-1 + sqrt(612))*6)*5 + (sqrt(1088)*2 + 2)*1)**2.\nAnswer: -8576*sqrt(17) + 306276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*g**3*i - 15*g**3 - 37212*g**2*i**2 + 7*g*i**2 - g + 3*i**2 + 192*i - 3 wrt g?\nAnswer: -24*g*i - 90*g - 74424*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -465 - -1629748?\nAnswer: 1629283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 2, -14, -1 in decreasing order.\nAnswer: 2, -1\/3, -1, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -190*c**2. Let b(r) = -651*r. Calculate b(s(d)).\nAnswer: 123690*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 6:48 AM?\nAnswer: 5:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4367167?\nAnswer: 7, 623881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000000110 (base 2) in base 12?\nAnswer: -372","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 4*w + 23. Determine k(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -138752*r**3*t**2 + 148*r**3*t - 425317*r**2*t**2 + 549*r*t**2 wrt r?\nAnswer: -832512*t**2 + 888*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**4\/5 - 151556*w**3 + 2*w**2\/5 + 151556*w = 0. Calculate w.\nAnswer: -378890, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*u**2 - 13*u**2 + u - 3*u**2 - 2*u**2 to g + v*u**2 + y*u and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 68 = -12. What is the lowest common multiple of l and 15\/(-2)*16\/(-10)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 3:12 PM?\nAnswer: 4:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 PM and 6:36 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6898\/17 + -406. Find the common denominator of -101\/2 and m.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 482*w + 6678. Determine q(-8).\nAnswer: 2822","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 1 = -2*n. Suppose -3*y - 13 = f, 2*y + 15*f = 19*f + 10. Is y smaller than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of a**2 + 5\/12*a**4 - 1 + a + 7\/6*a**3. Let j(c) be the first derivative of w(c). Factor j(m).\nAnswer: (m + 1)*(5*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5738, 5, -5058 in descending order.\nAnswer: 5738, 5, -5058","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 433 is divided by 211?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 119199253268 and 5?\nAnswer: 119199253263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(108)*3 + (sqrt(27) - (sqrt(2700) + sqrt(2700) + -5))).\nAnswer: -78*sqrt(3) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 770501648 to the nearest integer?\nAnswer: 27758","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r**(-14\/9))**(-22) assuming r is positive.\nAnswer: r**(-88\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x. Suppose 5*p - 4*y + 9*y = 15, 0 = 5*y - 25. Let d(t) = 12*t**2 - 44. Let m(v) = -1. Let h(j) = p*d(j) + 88*m(j). Give o(h(l)).\nAnswer: -48*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -625, -964, -1327, -1714, -2125, -2560?\nAnswer: -3019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1024 = -89*u + 8856 for u.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -5*r + 85. Let j be x(19). Let w(o) = o + 33. Calculate the smallest common multiple of 7 and w(j).\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + 413?\nAnswer: 411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 30255071 not equal to -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-2\/5)*b**(-30))**(-27))**42)**(-21\/2) assuming b is positive.\nAnswer: b**(-1809864\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 47040 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g**2 - 3*g**4 + 2*g**4 + 2*g**2 - 5*g**2. Let k(n) = -n**4 + n**2 - 3. Let c(u) = k(u) + l(u). Differentiate c(v) with respect to v.\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.66 - -0.34. What is the smallest value in 5, 0.5, s, -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 - (-1 - -1) - -38. Suppose 28*m - 31*m = -p. Solve -5*j = -3*j + 4*h + m, 0 = 5*j - h - 20 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11.3473 - 11.07. Let t = k - 0.28. What is t rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 95450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -121362 (base 8) to base 14\nAnswer: -112b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83 = 9*k + 83 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1390 - 733*z - 1390.\nAnswer: -733*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -177, -171, -153, -117, -57?\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 106 + (60 + -115 - 14)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -145\/4578 and -49\/1563.\nAnswer: 2385138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - -101200201?\nAnswer: 101200201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand o + 12*o**2 - 14*o**2 + 9*o**2 + 12 + (o**2 - 2*o**2 + 0*o**2)*(71 + 4 - 1).\nAnswer: -67*o**2 + o + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 594 divide 1935252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16bdc5 (base 14) to base 2.\nAnswer: 11000011100111001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2 + 221406104*u - 6127582861057352.\nAnswer: -2*(u - 55351526)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-135)\/126)\/((-6)\/20*-5)?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.13 and -374?\nAnswer: 373.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 406?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 6*w + 6. Let t(p) = 7*p + 7. Let q(g) = -6*h(g) + 5*t(g). Let b(z) = -2*z**2 - 2*z - 2. Suppose -53*a + 62*a = 9. What is a*b(l) - 2*q(l)?\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -29006.2 and 15?\nAnswer: -435093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 PM and 4:42 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 - 12*v + 3. Suppose -4*w - 60 = w. Let t be p(w). What is the highest common divisor of 3 and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -38*3 - (-3 + 1). What is the common denominator of -47\/72 and (-84)\/v*(-19)\/3?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -1, 315 in decreasing order.\nAnswer: 315, 0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12787?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3131204 (base 8) in base 13?\nAnswer: -2319b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44 + -0.178441479325.\nAnswer: -44.178441479325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-6*12\/72)\/(6\/8)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -3*s - 8*s**2 + s**2 + 15 + 2*s + s**3 - 23. Let n be b(-8). Round n to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25 (base 15) to base 16.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 112 and 32704.\nAnswer: 32704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -133*(-16)\/(-336)*368\/3496\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 50?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88103?\nAnswer: 19, 4637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1979 (base 12) in base 2?\nAnswer: -110000101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4b64 - 10?\nAnswer: 4b54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that s**2\/8 + 827*s\/8 + 22225\/2 = 0.\nAnswer: -700, -127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -189*m**2 - 2*m + 10. Let x be l(2). Let d = x - -1181. List the prime factors of d.\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*i**5\/7 - 404*i**4\/7 - 316*i**3\/7 + 836*i**2\/7 - 48*i\/7 = 0 for i.\nAnswer: -4, -3, 0, 1\/17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 203448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as -4354\/310427?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 2. Let y = -178\/175 - -6\/7. Which is greater: c or y?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from klqlqlkvvvokykvokk. What is prob of picking 1 l and 1 k?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 460247471.\nAnswer: 509, 904219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2118*n**3 + n + 2. Let p be w(-1). Is p\/(-2)*(-10)\/5 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 7:40 AM?\nAnswer: 2:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 475, 5, 2, 1 in descending order.\nAnswer: 475, 5, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*o**5*x + 142*o**3*x + 2222*o**2*x + o*x wrt o?\nAnswer: 660*o**2*x + 852*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) - (sqrt(108) + (6*sqrt(108)*2 + sqrt(108) - sqrt(108))))**2 + ((sqrt(108)*-1)**2*-6 - sqrt(108)) + 3.\nAnswer: -6*sqrt(3) + 14907","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1868.602 rounded to the nearest 100?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (-66 - -163) + -4.\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 769\nAnswer: 1538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -20912, -21135, -21506, -22025, -22692?\n\"Answer: -74*k**2 - k - 20837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 7*t + 8. Let q(j) = -3*j**2 + 8. Let r be q(0). Let c(i) = 0 - r + 24 - i - 7 - 10. Determine 5*c(n) + g(n).\nAnswer: 2*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -449 = -2*l + 13. Let f = l + -132. What is the remainder when f is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 262*(-11 - 6324\/(-576))*4\/5 and 451\/60 + (-6)\/(-15).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together 296.9 and 0.157668104.\nAnswer: 297.057668104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1420, -1264, -5738, -12002?\nAnswer: -20056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1628)\/198 + 8)\/((-21)\/135).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a**2\/6 + 1223*a\/6 - 245\/3 = 0. What is a?\nAnswer: -245, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 63929 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 PM and 1:56 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 57*q**4 - 26*q**2 - 5*q - 3. Let f(p) = -29*p**4 + 14*p**2 + 2*p + 1. Let l(r) = -5*f(r) - 2*t(r). What is the third derivative of l(g) wrt g?\nAnswer: 744*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -p**2\/4 - 97*p\/4 + 101 = 0.\nAnswer: -101, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + -13 + 5 - 4 - -8.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8 - -1ac7?\nAnswer: 1abe","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 245395470*m*z**5 - m*z - 28755891*m wrt z.\nAnswer: 4907909400*m*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g + 45. Let o be u(16). Suppose -4*z = -33 + o. Solve -z + 25 = 5*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -m + z, 0*m = -4*m - z + 9. Calculate the remainder when 37 is divided by 17 + -2 + 3 + m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -25 or -162441?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -310, -321, -348, -397, -474, -585, -736, -933?\nAnswer: -1182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 5) to base 4.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = -4*j, -2*f - j = -4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4848 (base 13) to base 7.\nAnswer: -41511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (7 + (-3 - -2) + -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 86471 divided by -7.\nAnswer: -12353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 148 and 37?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 2*j**2\/7 + 316*j\/7 + 624\/7 = 0.\nAnswer: -156, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (5 - (-45)\/(-6))\/(8\/(-8272))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 7 + h + h + 3*h. Let u = -6 + 11. Is 16 a factor of t(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -13*t + 15*t. Suppose -11 = n + 3*i, 13 = -3*i - t. Let a(z) = z**2 + 5*z - 4. Let l be a(-6). Solve -3*k = -s - 8, -1 = -l*s - n*k + 23 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2 - 18*q + 88.\nAnswer: -(q - 4)*(q + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 383*m**3 - 2*m**2 + 80*m**3 - 3*m - 2*m + 0*m to the form j*m**3 + l*m + z + n*m**2 and give j.\nAnswer: 463","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.5701 to 0 dps.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 4452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5 - (10\/5 - 0) - 33. Which is the second smallest value? (a) 1 (b) z (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 12895 and -114.3?\nAnswer: -1473898.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*j = -58*j + 9 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u**2 - 11. Let v(z) = -z**2 - 4. Let y(h) = -4*i(h) + 11*v(h). Let c(n) be the first derivative of -2*n**3 + 4. What is y(c(l))?\nAnswer: -108*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41, 427, 3, -1, -6 in ascending order.\nAnswer: -41, -6, -1, 3, 427","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 + 4*h**2 + 2*h + 4. Let p be i(-3). Suppose l - p = 10. Calculate the remainder when l is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22733 - -22731. Let o(h) = -14*h**3 - 5*h**2 - 10*h - 2. Calculate o(f).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 241 + -171. Let d = -65 + j. What is the nearest to 1 in d, -1, 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -3*c**3 + 2*c**2 - 2*c + 2. Let g(i) = i**3 - i**2 + i - 1. Give -2*g(n) - x(n).\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = 3*s + 12, -67*o - s - 4 = -64*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 + 17. What is the third biggest value in -0.1, f, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2\/703 - 2822\/3515. Let h = 3.8 + -0.8. Let c = 447 - 446. Sort r, c, h in increasing order.\nAnswer: r, c, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5\/2238093 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 798650 divided by 10.\nAnswer: 79865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2. Suppose -13*f + 192 = -9*f. Let b(a) = -f + 8 + 40 - 6*a - 15*a. Give p(b(w)).\nAnswer: 441*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-219)\/6*-1)\/(7\/(-14)). Let r = l + 583\/8. Let t = 10.3 + -10. Which is the second biggest value? (a) r (b) 0.5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26047 is divided by 27.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*208\/(-144)*1.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = v + 5*y, 2*y = -2*v + 13 + 3. Let t be ((-2)\/v*6)\/((-3)\/4). Suppose t*k - 82 + 2 = 0. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -603*h**2 - 308*h**2 - 533*h**2 - 81*h**2 to t*h**2 + w*h + x and give t.\nAnswer: -1525","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33 is divided by 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 7, 5, 3, 1, -1, -3?\n\"Answer: -2*l + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 19*y + 1. Let a(f) = -24*f + 7. Determine b(a(h)).\nAnswer: -456*h + 134","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of 12.7084 and 3439.\nAnswer: 3451.7084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**2 - 4*d**2 - 7*d + 0*d**2 - 6 + 7*d**2 + d**2.\nAnswer: -(d + 1)*(d + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of o**7\/5040 + 7*o**5\/60 + 11*o**2. Let a(n) be the third derivative of f(n). Let l(x) = -4*x. What is a(l(m))?\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 a when two letters picked without replacement from {t: 1, b: 4, a: 2, h: 2, y: 1, w: 7}?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 366 - 273. Is c a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*b + 12*b - 11*b + 30*b.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -170*h**4 + 233*h**3 + h**2 - 3522*h wrt h?\nAnswer: -4080*h + 1398","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 36147a9 (base 11) in base 5?\nAnswer: 3103130140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 1 + (10 - 21) + (2 - -14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1411 (base 5) to base 4\nAnswer: -3213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 0 + -2*sqrt(1053) + 2.\nAnswer: -18*sqrt(13) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 26. Suppose -4*q + h = 4*o - 2*o, -2*q + 4 = -4*o. Let a be q\/7 - (-25200060)\/(-105). What is a rounded to the nearest 10000?\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -11 (b) -568 (c) 17\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2*w + 7. Suppose -3 = -x + 1. Suppose c = -x*c. Suppose 10 = -c*l + 5*l. Let p(f) = -f + 3. Give l*s(j) - 5*p(j).\nAnswer: j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + 1. Let p be x(0). Which is the second biggest value? (a) p (b) -4 (c) -1 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1528743 is divided by 166?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2.2, 2\/99, -76?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2972, 5959, 8946?\nAnswer: 11933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.98 - -0.02. Let f be (-66)\/(-14) - 16\/(-56). Suppose 0 = -4*j - 20, -11 = -2*i + f*j + 14. Which is the third biggest value? (a) z (b) 1\/6 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 180*y**4 + 24167 + 2864*y**3 + 4*y**5 + 37632*y - 5397 + 3182 + 19889*y**2 - 1521*y**2 = 0.\nAnswer: -14, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30247 (base 16) to base 8\nAnswer: -601107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = -2*k - 3*a + 7, -2*a = 6. Suppose 4*q = -g - 0*g - 92, 2*g - 92 = 4*q. Let o = -22 - q. Put o, k, 5 in ascending order.\nAnswer: k, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -275*z + 623 - 3098 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -13 - -204?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59121*z + 29388*z - 197 + 197.\nAnswer: 88509*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 886935787 a multiple of 139?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 + 13*g**2 + 66*g + 15. Determine n(-8).\nAnswer: -193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 141*b**6 - 1378*b**5 + 6*b**2 + 652*b + 7.\nAnswer: 16920*b**3 - 82680*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 37217 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 37438, 37418, 37394, 37366?\n\"Answer: -2*h**2 - 14*h + 37454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -5*c + 8, 8*c + 4*j - 7 = 13*c. Let w(q) = -25*q**3 + q**2 + 2*q - 2. What is w(c)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -61, 3057, 471, -4.\nAnswer: -61, -4, 471, 3057","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -817, -3, -174.\nAnswer: -817, -174, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2772 divided by -132.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 76\/111 and -125\/5772.\nAnswer: 5772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + f - 9*f + 10*f)*(-2 + 5 - 1) - 1 + 1 + 13*f.\nAnswer: 17*f - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*w**3 - 42*w**3 - 6*w**3 + w**3.\nAnswer: -78*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from riririr?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -39508*i**3 - 1782.\nAnswer: -118524*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-15)\/18 + (-18)\/(-54). Which is the fourth smallest value? (a) 0.08 (b) w (c) -5 (d) -1 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -49174*g**3*r**3*z + 9*g**3*r**2*z - 2*g**2*r**3*z + 7*g**2*r + 103*g*r*z + g + 4*r**2 - 3*r wrt g?\nAnswer: -295044*r**3*z + 54*r**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t**5 - 27*t**4 - 3*t**3 + 39*t**2 + 9*t - 12 = 0 for t.\nAnswer: -4, -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 227573.\nAnswer: 89, 2557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**3 - 280*y**2 - 1815*y - 2790.\nAnswer: 5*(y - 62)*(y + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.568 in 0, 0.06, 5, 3?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 787 = 3*l. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of 763*t**5\/20 - 413*t**3\/2 - 105*t**2 - 2*t. Differentiate z(p) wrt p.\nAnswer: 4578*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -2*u**2 + 171*u - 574. Let l be b(82). Solve l = 3*s + 9, 3*c - 5 - 1 = -3*s for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(192\/(-180))*1*42\/30*2\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 21\/2 of a decade?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 243194.\nAnswer: 2, 7, 29, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 87 (b) -3 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(8 + -3 + 7\/(-1)) + 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 466 = -5*g, -467 = -5*g - 5*o + 13. Suppose -4 = 3*p - g. What is the tens digit of ((-144)\/10)\/((-9)\/p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2539 + 2539. Which is the smallest value? (a) 95\/6 (b) i (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2 = -2*o + 4, 3*o = h + 8. Let d(s) be the third derivative of -4*s**2 + 0 - 1\/24*s**4 - 1\/6*s**3 + 0*s. Give d(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.874221 days in minutes?\nAnswer: 11338.87824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3564.07 + -3541. What is x rounded to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 2 - 4)*(k + 0*k + k) - 8 + 10 + 3 - 2*k to the form p*k + m and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 255.8861 to 1 dp.\nAnswer: 255.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100000011111110001001100 + -10?\nAnswer: -100000011111110001001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 c when two letters picked without replacement from yyzcn.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 87017.0707 and -0.05?\nAnswer: 87017.1207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 AM and 5:58 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -3 (b) 1\/4 (c) -1\/4 (d) 1\/2 (e) -67 (f) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 2*s + 2*s)*(-1 - 3*s - 2 + 4*s + (3 + 0 - 5)*(-s - 12*s - 9*s) + 3*s - 3*s - 2*s).\nAnswer: 86*s**2 - 6*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4 - 2085672*h**2 - 4 - 2810*h + 2085667*h**2.\nAnswer: -5*h*(h + 562)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 20.4 and 27.\nAnswer: 47.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of -3\/20*q**5 + 0*q**3 + 0*q**2 + 0*q**6 - 2 - 84*q + 283\/12*q**4 + 1\/21*q**7. Find the third derivative of o(a) wrt a.\nAnswer: 120*a**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*c + 2*c**3 + 5*c**4 - c + 3*c + 5*c**2 - 8*c in the form t + j*c + a*c**3 + u*c**4 + d*c**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, -110, 2, 3.\nAnswer: -110, -2, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 2*f. Let u be 7*4\/((-12)\/(-45)). Let l be 28\/u - (-4)\/(-6). Which is bigger: f or l?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of -17*v**7\/42 + 4*v**3\/3 - 10*v. What is the second derivative of m(h) wrt h?\nAnswer: -340*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 129 divide 109130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.138 + -5.238. Let n = 28.2 + -25. Let t = r + n. Which is the closest to t? (a) 3 (b) -7 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1347 - 4?\nAnswer: 1343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*l + 64 + 100 = 47*l - 70, 0 = 4*m - 3*l + 26 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1393405 - 4*r + 1393276 + 3*r)*(2 - 4 + 5)*(-2 + 2 + 2) as l*r + k and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 16\/27?\nAnswer: 16\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*q - 102 = 11*q. Suppose -22 = -3*d - t, -24 = -2*d - q*t + 3*t. Solve n - d = -3 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17761550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 17514238 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1243120214 (base 5) in base 7?\nAnswer: 35222415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 140 + -133. What are the prime factors of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = -3*y + 116, -y + 5*o + 39 + 50 = 77 for y.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Solve 11393*i = 16655*i - 447270 for i.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 + 2*j - 1. Let q be g(-6). Suppose t - 35 - q = 0. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.0028 or -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13566 and 494.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 + 2*r**2 - r - 1. Let s(c) = 174*c**3 + 9*c**2 - 3*c - 5. Calculate -5*m(b) + s(b).\nAnswer: 169*b**3 - b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 7*m - 16. Let x be i(8). Let c be ((-1)\/(-2))\/(4\/x). Solve -c + 2 = -g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -28, -1, 12, 6.\nAnswer: -28, -3, -1, 6, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 129469*o**3 - 59966*o**3 - 9541*o**3 - 59959*o**3.\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1152 is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 383969.\nAnswer: 1\/383969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 46.046 - 46. Let o = w - 5.246. Let l = o + 5. Which is the second biggest value? (a) l (b) 4\/5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/150 and 70\/34323.\nAnswer: 1716150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of -6*d + 1\/3*d**3 + 2*d**2 - 1. Let l(w) = 2*w**2 + 9*w - 13. Let v(h) = 5*f(h) - 2*l(h). Calculate v(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 26\/5 of a kilometer?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 152, 155, 160, 167?\nAnswer: 176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3715*b**3 + 3*b - 3*b - 3736*b**3.\nAnswer: -21*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2909789 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + 110536?\nAnswer: 110532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + 0. Suppose 5*d - 20 = 2*k, 5*k = -d + 2 + 2. Solve -d*y + v*y + 4 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(4 + sqrt(1372)))**2 + 3.\nAnswer: 1792*sqrt(7) + 22211","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 520496 and 13112.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 2*k + 2 + 0 = 0, -3*p - 3*k + 18 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/8 + 35*q**2\/8 - 323*q\/8 + 289\/8.\nAnswer: -(q - 17)**2*(q - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uukkcuccuckkcu. What is prob of picking 1 u and 2 c?\nAnswer: 25\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 68.1 + -67.7. Put q, 5, -0.3, -2 in decreasing order.\nAnswer: 5, q, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) - (sqrt(80) + sqrt(80)*-1))\/sqrt(10)*2.\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2355 is divided by 236.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -24 + 3?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20274 and 1731.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 7 = -5. Suppose 3*l - 1006 = -5*i, -3*l + 4*i = -0*i - 988. Let g = l + -329. Solve u - 2*u - s = -1, g*u - t*s - 3 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pgpp when four letters picked without replacement from {p: 3, g: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8795287.8 nanoseconds in hours?\nAnswer: 0.0000024431355","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 3 = 0, -5*k - 377 = 4*w - 2*k. Let s = -77 - w. Solve -s*u = -17*u - 6 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + (4 - (0 + 0)). What is the second derivative of -13*s**4 + 31*s**4 + 3*s + u*s**4 - 5*s**4 wrt s?\nAnswer: 228*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sggg when four letters picked without replacement from {k: 3, h: 2, g: 9, s: 3, n: 2}?\nAnswer: 21\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5481 + 17*k**3 + k**3 - 6*k**3 - 5477.\nAnswer: 12*k**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pddyddpsydbbdpdpbss. Give prob of picking 1 p and 1 y.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -7. Suppose 0 = -4*x + p + 5. Find the second derivative of 118*o**x + o - 118*o**2 + 6*o**4 wrt o.\nAnswer: 72*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 8*a**2. Let y(u) = 9*u**2 + 4*u - 8. Calculate y(p(v)).\nAnswer: 576*v**4 + 32*v**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 68600470 from -12.14.\nAnswer: -68600482.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17.3577 + 19.463. Let q = y - 0.10532. Let s = q + -2. What is s rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2. Let n(z) = 2*z + 16. Let h(s) = 8*f(s) - n(s). Let g be h(-1). What is the second derivative of -1309*w**g - 17*w + 1309*w**2 + 18*w**3 wrt w?\nAnswer: 108*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58799 is divided by 588.\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 37 + -32. Solve -5*u - 19 = -2*n, 4*u + 3 - 1 = -r*n for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 213 = 2*i - 0*r + r, -5*i - 5*r = -535. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 + 10.99999944. Round i to 7 dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52259846.\nAnswer: 2, 26129923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 5. Suppose -3*x + 3*q = -24, x + 2*q = 5*x - 34. What is the highest common divisor of x and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5705 less than 0.1?\nAnswer: -5704.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -99*h**5 - 134*h**4 - 3*h**3 - 32047*h**2 - 72 wrt h.\nAnswer: -5940*h**2 - 3216*h - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.88 + -0.12. Let v = 6 + -5.6. Let n be 5*(-1 - 1*-2). Put n, f, v in decreasing order.\nAnswer: n, v, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*n**2 + 41 + 15*n**2 - 2*n + 45 + n**3 + 9*n**2 + 7*n.\nAnswer: n**3 + 13*n**2 + 5*n + 86","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -4*f - 25, 18 - 50 = -4*q + 4*f. Suppose 3*m - q = 5. Solve 3*c - 5*c = -m for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (65 - 32) + 26 + 0?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w - 32 - 28 - 36 + 95. Let x(l) = -6*l**2 - 6*l - 4. Give 4*m(a) - x(a).\nAnswer: 6*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -4*i + 34. Calculate the remainder when 25 is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15358460 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -37 + -30. Let j = -203\/3 - x. Let y = 0.028 + -0.168. Which is the biggest value? (a) y (b) 5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhhhh. Give prob of sequence hhh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -40.407 + 40.406837365. Round b to five dps.\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46725.73ms to nanoseconds.\nAnswer: 46725730000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + -2.5. Let i = 0.07 - 3.07. Which is the closest to -1? (a) i (b) -1\/10 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 362?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + 221?\nAnswer: 1002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -365 + 1941 = 4*u. Let k(d) = -12*d**2 - 174*d - 228. What is the lowest common multiple of k(-13) and u?\nAnswer: 1182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 + -8. Let i be t + -3*(-3 + 4). Let w(o) = -o**2 + 8*o - 2. Give w(i).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3488 + -41753\/12. Find the common denominator of k and (-7)\/15*102\/8.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*((-2)\/6)\/(7\/(-21)). Let w = 29\/3 + -55\/6. Find c, given that 1\/2*c**3 + 1\/2*c**g - 1\/2 - w*c = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-110)\/(-8) - (-1)\/4. What is the common denominator of ((-3)\/((-24)\/(-94)))\/(45\/20) and (38\/6)\/(n\/(-18))?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-35 - 2 + 11)*(-8*k - 3*k - 7*k)*(-k**3 + 2*k**3 - 2*k**3) to the form v*k + i*k**4 + y*k**2 + l*k**3 + n and give i.\nAnswer: -468","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/2)\/(2\/44)*(-1931 - -1932) + 61.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/3*(-14)\/((-280)\/12).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 50245853 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 163 + 633*l + 3*l**2 - 637*l + 155 - 318.\nAnswer: 3*l**2 - 4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 2 = -2*m, -7*i = -9*i + 3*m + 1 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24 - -12. Let j = -9 - b. Let t be -3*(-1)\/(-1)*-1. Solve 2*w - 4 = -u - t, j = w for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.8, -2\/3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 37\/102581 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 8*d**4 - 2*d**2 + 14. Let m(f) = 7*f**4 - 3*f**2 + 15. Let n(g) = 3*c(g) - 2*m(g). What is the derivative of n(p) wrt p?\nAnswer: 40*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - (37 - 43)) + 79 - -19?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 280\/728*-3*4\/(-30).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -9*i**2 - 50*i + 1. Let d(s) = 7*s**2 + 40*s - 1. Let c(o) = 5*d(o) + 4*j(o). Let g(p) = -p**2 - 10. Determine -c(f) - g(f).\nAnswer: 2*f**2 + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**8*b*b**(-3\/5)*(b**(-2\/13))**45 assuming b is positive.\nAnswer: b**(96\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 37680 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 234 and 39.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -5*r - 3. Suppose 3*v = 4*k - 31, -23 = -k - 2*k + 2*v. Let z = k + 5. Let i(u) = 19*u - 9 + z + 11 + 5*u. Calculate -3*i(y) - 14*x(y).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 190 + -166. Which is the second biggest value? (a) 0.5 (b) r (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1599)\/(-273) - 12\/14. Let g be f\/1910*10\/(-5). Which is bigger: g or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of a + 5\/2*a**2 + 2. Does 13 divide b(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1392 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 448 + 16 = 5*q - 4*y, 0 = -4*q - 5*y + 404. Let s = -94 + q. Solve -s = j - 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/5))**(4\/23)*(b\/b**4)\/b*b**(1\/2)*b*(b\/(b**0*b*b)*b)**(-46)\/((b\/b**(-1\/5))\/(b**(-1)\/b*b)) assuming b is positive.\nAnswer: b**(-213\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 + 2*w - 2. Let c = -8 - -16. Let g(r) = 10*r - r + c*r**2 - 17 + 8*r. Give 6*g(x) - 51*p(x).\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -603*j**2 - 3772*j**2 - 1219*j**2 - 3020*j**2.\nAnswer: -8614*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -120*n**2. Let c(y) = 10*y. What is j(c(x))?\nAnswer: -12000*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z**(-5)*z\/z**(-10)*z*z**27\/z*z\/z**4*z assuming z is positive.\nAnswer: z**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*b**3*l**5 + b**3*l + 191*b**3 - 2*b**2*l**2 + 236*b*l**5 - b*l**2 wrt l?\nAnswer: -120*b**3*l**2 + 14160*b*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001101010101000 (base 2) to base 12.\nAnswer: -1aab4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29 + 33. Let r(w) = w - 1. Let d be r(1). Suppose 3*g - 21 = -5*h, h = -d*h - z*g - 6. Is h a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1982151 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4\/7, -4\/9, 17, 0.4, -5, 0.3?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (-9 + 14)) + (0 - 3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 321*a + 2934 = 16*a - 21*a for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 13771806 divided by 6\nAnswer: 2295301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1548192 to the power of 1\/4, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -18 or -3979\/233?\nAnswer: -3979\/233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(2\/7)\/(u*u**(-1\/12)*u)*u**14*u**(-1\/6)\/u assuming u is positive.\nAnswer: u**(941\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4305 by 205.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -a (base 13) to base 4\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.07683 to three decimal places.\nAnswer: 0.077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssee when four letters picked without replacement from {e: 3, s: 5}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 333*q**2 - 6*q - 3. What is the units digit of k(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5844*l = -11743*l + 5838*l - 2196 for l.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*v + 4*v. Let x = v + 20. Suppose 3*n = -n + 100. What is the remainder when n is divided by x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 152*j + 561. Determine o(-3).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 547 * 0.025.\nAnswer: 13.675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2781 and 173349?\nAnswer: 927","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w + 26. Let j(t) = -6*t - 2. Let d(h) = 14*h + 5. Let c(b) = -2*d(b) - 5*j(b). Give l(c(y)).\nAnswer: -2*y + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 924498?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25 or -177\/7?\nAnswer: -177\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-33)\/(-110)*-14)\/((-15)\/50)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3636)\/(-27) + -8 + 1\/3. Solve 133 - j = -2*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*a + 228 - 3560 = 54*a for a.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -845, -847, -851, -857, -865, -875, -887?\nAnswer: -901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 589 = n + 2*n, -2*n + 390 = -2*y. What is the remainder when n is divided by 99?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -2. Suppose -5*g = -5*p - 445, -d*p - 8 + 0 = 0. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 67*f**3 - 179*f**3 - 2*f - 45*f**2 + 58*f**3 + f**4 + 55*f**3 to h*f**4 + t*f**3 + k + m*f + b*f**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 6 - 137*o + o**3 + 136*o - 2*o**3. What is t(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -514 - -479 - (-4 - (100 + 2))?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -85 (b) -5\/3 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(2\/97))\/(y\/((y\/(y**(-6\/19)*y))\/y)) assuming y is positive.\nAnswer: y**(-1299\/1843)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8384 and 2384.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49 divided by 1212.\nAnswer: 49\/1212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*u**4 + 20 - 22 + 4*u - 11*u**4 as f*u**2 + g*u + r + b*u**4 + x*u**3 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 132 - 139.8. Let w = -8 - d. Let l = 12.5 - 65.5. What is the biggest value in l, w, -5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 80 - (-94 - -72) - 102?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.55, -1, 37, 13?\nAnswer: -0.55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-17)\/(-9) + -2 - (-976)\/6192) + 162180\/2193.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 5:05 PM?\nAnswer: 9:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/22)*z*z*z*z*(z\/(z*z**(1\/23)))\/z*((z\/((z\/((z*z**(1\/8))\/z))\/z*z))\/z*z)\/z*z*z**23)**26 assuming z is positive.\nAnswer: z**(685061\/1012)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2217630 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 162*q - 968. Let w be j(6). Solve 7*b = 4*n + 12*b - 15, w*n = b - 3 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 + 9 - -10) + -9?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-7 + 6)*(6\/8)\/(-2 - 1)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 74022 and 286.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -330, -325, -318, -309?\nAnswer: -298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + f - 9 = -35, 0 = -5*z - 4*f - 29 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12? (a) -9\/34 (b) -0.1 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179 is divided by 114?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express b + b**2 - 40*b**4 - 3*b**4 + 6*b**4 as t*b**4 + x + s*b + i*b**3 + h*b**2 and give t.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5 + 0 + -3 + 1. Suppose 0 = -n*j + 17 + 19. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176 = -71*u + 75*u. Does 14 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 7:50 PM?\nAnswer: 12:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 654118 is divided by 130823?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*t = -27*t + 45545. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = r - 4202, 3*m - m + 4*r = 8396. What are the prime factors of m?\nAnswer: 2, 3, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -17, -53\/5, 24\/11?\nAnswer: -53\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (1*sqrt(96))\/sqrt(12) - (sqrt(198) + -1*sqrt(198) + sqrt(198))\/(sqrt(55)\/(sqrt(20) + sqrt(5))).\nAnswer: -7*sqrt(2) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of -b**2\/2 - 549. Let c(o) be the first derivative of -10*o**3\/3 - 1. Give c(s(r)).\nAnswer: -10*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1526?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, p: 1, s: 1, i: 1, m: 1}. What is prob of picking 1 p and 2 h?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 17 - 13 = 0. Suppose q - 3*t = -115858, -4*q - 2*t = -l*q - 231700. Let d = q + -984154. What is d rounded to the nearest 100000?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1066977.607 and -4.\nAnswer: -1066981.607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 665*p - 36576. What is m(55)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 AM and 4:25 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 - 34*y - 191. Let i(h) = 3*h**2 + 101*h + 572. Let v(p) = -2*i(p) - 7*r(p). What is the remainder when v(-33) is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 6) in base 16?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 1 + 2 - 7 + 4 + (-5 + 3 + 3)*(-2 + 1 + 3))*(6*w**4 + 10*w**4 + 8*w - 14*w**4).\nAnswer: 4*w**4 + 16*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16713460537 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2232212 - 12220?\nAnswer: 2213332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 m when three letters picked without replacement from {j: 13, m: 5}?\nAnswer: 65\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 0*v = -4. Suppose -5*o - v*t + 6 = -19, -o + 5 = -t. Solve b = -4*y + 2*b + 20, 0 = o*b for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10 - 2*(3\/6 + 1). Suppose t*p - 146 = 281. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*y + 140 = -32*y. Does 10 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -103 + 96. Let t(o) = o**2 + 7*o - 1. Calculate t(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 1104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/3124 and 59\/20.\nAnswer: 15620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -2.8. Let m = 545 + -544.7. Sort m, -0.2, c.\nAnswer: c, -0.2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -4*n + 3. Calculate r(4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -6\/17, 2\/13, 3\/2, 0.028, 4, -1\/7?\nAnswer: 0.028","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -204300 (base 8) to base 16\nAnswer: -108c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(65)\/((sqrt(300)\/sqrt(6))\/sqrt(10)).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 times -5?\nAnswer: -630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.23123 rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(-25)*8\/12?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/3)\/i)**(-2\/59)*i**(-1\/3)*i*i**3\/i*i*i*i*i*((i*i\/(i\/(i*i**(2\/7))))\/i**(-2\/11))**(-1\/22) assuming i is positive.\nAnswer: i**(328113\/49973)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 9 - 0\/(-1) - (-16576)\/(-1776)\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 11. Let d(r) = -r - 9. Let y be d(t). Find the second derivative of 7*x**2 + 5*x - 4*x**2 - 7*x**2 + y*x**2 wrt x.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (930\/(-124))\/((-385)\/28)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4388 - 823 = 71*u - 2257 for u.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 8:22 PM?\nAnswer: 12:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-28)\/(-6) + (-6)\/18*-1. Suppose -3*a + h*v + 44 = 12, -a - v = 0. Solve 5*n + a = -1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 - 0.9. Let n = 284 - 283.6. Let m = 2.2 + -2. What is the closest to -1\/2 in n, g, m?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 790253?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4261715292.\nAnswer: 2, 3, 355142941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z + z - 4*z)*(5*z + z - 3*z) + 2*z**2 + 2 - 2 + (-1 - 2*z + 1)*(-25 + 3 + 114)*(2*z - 5*z + z) + 0 + 0 - z**2.\nAnswer: 366*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 211.77 + -212. Let t = k - -0.33. Which is the closest to t? (a) -2 (b) 0 (c) -1\/10 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.0505 + 1.9495. Let f be (165\/9)\/(-5) - -3. What is the second smallest value in f, -2, r, 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/3)*n*n**(-4\/11))**(4\/5)\/((n*n**(-2\/11))**(31\/5))**(3\/8) assuming n is positive.\nAnswer: n**(-2543\/1320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 5802 + 1253. Let k = -131903\/29 - w. Let a = k + -184\/203. Which is bigger: -1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -251 - -261. Find the common denominator of 455\/2652*(-28)\/g and -70\/3.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 3 + 4 - 19)*(-2*p + 5*p + 2*p) to t*p + l and give t.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*a**3 - 4*a + 4*a - a**3.\nAnswer: 41*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y. Let i(b) = -59308*b. Determine i(r(w)).\nAnswer: -59308*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (93363\/1350)\/((-26)\/78). Let v = k - -1247\/6. Find the common denominator of v and 36\/5.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.67, 1, 0.3, 5 in ascending order.\nAnswer: 0.3, 0.67, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-3 - (-2 - 0)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 + -34. Which is smaller: -23 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -71041531632993 - 12?\nAnswer: -71041531633005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 699*l**3 + 27489635637 - 27489635637.\nAnswer: 699*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-10))\/((-14)\/(-16)*(-468)\/1638)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*h*n**3 + 10*h*n**2 - h*n - 58*n**3 + 139*n**2 - 158241*n + 2 wrt n.\nAnswer: 12*h*n + 20*h - 348*n + 278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 + t + 79. Let c be f(9). What is the second biggest value in 3, c, -0.7, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -377204 (base 8) to base 9.\nAnswer: -218243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/21128885 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 210311 (base 4) to base 10\nAnswer: 2357","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5.910041l?\nAnswer: 5910.041","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*c + 12*c - 20. Let r = c - -12. What is the remainder when 19 is divided by r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 9, 187, 6, 21, -6.\nAnswer: -6, -4, 6, 9, 21, 187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 2*l - 14, -11 = i + 4*l - 30. Suppose i*p - 2*p = 72. What is the highest common divisor of p and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 307 a factor of 37612719?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of 13637*c**3\/3 + 7*c**2 + 6*c. Let q be j(-11). What is q rounded to the nearest ten thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 8526700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 51, 105, 159, 213, 267, 321?\n\"Answer: 54*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -327*b + 333*b + 3534. Let q = -441 - b. Is q a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -133 + 79. Suppose -p + n + 136 = 0, 0 = 4*p - 5*n - 118 - 423. Let v = p + m. What is v rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 11199, 11196, 11193?\n\"Answer: -3*f + 11202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5486061 or -5486055?\nAnswer: -5486061","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2 + 262\/(-16)*(-22)\/(-121) and (2\/(-48))\/((-2)\/9)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66455 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (10 + -7 + 6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12116891*x**3 + 430*x**2 + 523*x wrt x?\nAnswer: -72701346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31 - 44 - 17 - b**2 + 3*b**3 + 27 - 2*b**4 - b to p*b**2 + g*b**3 + z*b + q + r*b**4 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 411 is divided by 393.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -13 - 9*g - 3*g + g - g**3 - 10*g**2. Let c be s(-9). Solve -2*h = c*u + 2*h + 36, -5*u = 5*h + 40 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18846947, -37693948, -56540951, -75387956, -94234963, -113081972, -131928983?\nAnswer: -150775996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1333520 divided by 632?\nAnswer: -2110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add -5 and 136485.\nAnswer: 136480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 232 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 333, 1019, 2069, 3489, 5285, 7463, 10029, 12989?\nAnswer: 16349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -747 = -70*w + 383 + 410. Calculate the lowest common multiple of 106 and w.\nAnswer: 1166","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 11) to base 14.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -819034.33 take away 13.274028?\nAnswer: -819047.604028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 + 19*s**2 - 2*s + 41. Let j be q(19). Solve 0 = 3*z - j*f + 21, -5 + 2 = -3*z - 3*f for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6 + -395?\nAnswer: -3a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15*(-4)\/(-36)*3\/1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 8 = -4*t. Let u(c) = c**2 - c - 1. Let w(d) = 391 + 388 - 776 - 3*d**2. Let h(k) = t*u(k) + w(k). Determine h(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-259)\/28 - 6\/8. Let c = 7 + s. Let x = 653 + -649. Put 2, c, x in decreasing order.\nAnswer: x, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 866214 divided by -866214.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-20)*4165\/((-4900)\/(-100)).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of -f**5\/10 - f**4\/12 + 2*f**3\/3 - 5*f**2. Let p(k) be the first derivative of l(k). Is p(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*w + 2*w + 17 - 17.\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 348 + -152. Suppose 16*c - 2088 = -1688. Calculate the remainder when u is divided by c.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, f: 2, b: 3}. Give prob of picking 2 f and 1 z.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 6 = 6*c. Let h be c*(-1250)\/(-4)*-2720. What is h rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 AM and 2:29 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6801 divided by 1.\nAnswer: 6801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 - 3*p**2 - 584*p - 1753. Determine f(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 3*j = 686, -3*j - 7 = 11. Calculate the remainder when v is divided by 154.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24453*h + 24472*h - 1101202. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.021 and 0.0584.\nAnswer: 0.0794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.201+442\nAnswer: 442.201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p**2 - 14*p - 23. Let g be n(-2). Let l = 1.9 - 1.4. Which is the biggest value? (a) -5 (b) g (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 2 = 3*c. Suppose -3*f - 9 = 4*i - 3*i, c*i - 5*f = 26. Solve 5*l - 2 - i = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6451?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 209*z + 9*t = 115*z + 91*z + 351, 0 = t - 40 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1224155?\nAnswer: 5, 103, 2377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c + 30. Let w be l(13). Let o = 8 - 4. Is 70\/o*w\/5 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48931 and 668.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 19 + 23. Suppose -24 = -2*f + r. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -389462 divided by 5\nAnswer: -389462\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7112152 is divided by 43.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 264*z**2 - 357*z.\nAnswer: 528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 749 is divided by 76.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -aa4d2 (base 16) to base 14\nAnswer: -1422d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.06 + -65.06. Let i = -67 - b. What is the smallest value in -0.2, -2\/7, -2\/17, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -8791943 and -8791943 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, v: 1, j: 1, c: 2, l: 1, f: 1}. Give prob of picking 1 j and 1 z.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7442 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3061, -3048, -3031, -3010, -2985?\n\"Answer: 2*k**2 + 7*k - 3070","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 176 and 9712.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 + 13*q - 23. Let o be i(10). Let f(c) = 3*c**3 + 3*c**2 - 2*c. Let j be f(1). Sort j, -3, 2, o in descending order.\nAnswer: o, j, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 61209710?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -46.3 - -41.1. What is o rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of v**4\/12 + v**3\/6 + 3*v**2. Let i be y(-5). Let k = 9 + i. Which is the third smallest value? (a) 2\/13 (b) -1 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000009070419495 to 7 decimal places.\nAnswer: -0.0000091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -6*h**2 - 3*h - 3. Let a(y) be the first derivative of 7*y**3\/3 + 3*y**2\/2 + 3*y + 5. Let m(v) = -5*a(v) - 6*l(v). Let i = 2 - 6. Calculate m(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + (-15)\/(-6))\/(934 - 924).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (60\/(-200))\/(102\/3060)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*x + 18*x - 6. Solve -2*g - 2*p + p - x = 0, p - 4 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of -r**3\/3 - r**2\/2 + r + 1. Let w(d) = 2*d**2 + 4*d. Let x be (44 - (-2494)\/(-58)) + 2\/1. What is x*g(l) + w(l)?\nAnswer: -l**2 + l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 25, -34, -141, -302, -523, -810, -1169, -1606?\n\"Answer: -u**3 - 18*u**2 + 2*u + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/34, 10\/57, 3?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4556646, -9113291, -13669936, -18226581, -22783226?\n\"Answer: -4556645*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - -2) + 870\/9. Let s = x + -97. What is the smallest value in 0.4, 2\/11, s, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.4 from -1243671500.\nAnswer: -1243671500.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -100*m**3 + 55*m**2 - 55*m + 55. Let p(q) = -11*q**3 + 6*q**2 - 6*q + 6. Let z(f) = -6*f**3 - 2*f**2 - 2*f. Let x be z(-1). Give x*u(h) - 55*p(h).\nAnswer: 5*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.39 - -0.23. Let n = -0.04 + l. Let h be (-1944)\/2112 - 6\/(-11). Which is the nearest to -2? (a) 0.2 (b) n (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 33079630 to the nearest integer?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-56)\/36)\/14 + 8\/18?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 449c1 (base 13) to base 3\nAnswer: 20100001220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 <= 975\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 9.714195 centimeters?\nAnswer: 0.00009714195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -12*(3 - 61\/(-3)). Let i = -8080 - v. What is i rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22 - 14. Let p = h - 1. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*a - 2*a - 5 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 < -782800?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -z - 9, -11*z + 6*z = l - 32. Is -3 + l - (0 + -26083 + -6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25418*n**3*t**2 - 2*n**2*t - n**2 + 2904*t**2 + 2 wrt n.\nAnswer: -152508*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -4, 5, -2\/13, -1619?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 - 6. Let i be w\/28*(-2 - 0). Let f be 6*(-12)\/126*(-1 - -2). Which is the closest to -1? (a) -3 (b) f (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*b**3*q - 33896*b**3 + 977*b*q with respect to q.\nAnswer: 5*b**3 + 977*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -2*p + 2 + 2, -3*p = -4*j - 4. Let x(h) = -h**3 + 4*h**2 - 1. Let d be x(3). Suppose -5*u - 5*r - 267 = -d*u, -5*r = p. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + p = -2*p + 83, 0 = -4*s + 5*p + 75. Let h(b) = -b**3 - 5*b**2 + 7*b + 8. Calculate the remainder when h(-7) is divided by s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 + 100*h**2 + 981*h + 12. Give k(-11).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -507 and -1147134?\nAnswer: 581596938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 3 + 2 + 1 - 5. Let k(j) = 1 + 2*j + 1 + 6. Determine k(p) - 8*o(p).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 1252 = 4*k, 5*r = 3*k + 2*k - 1580. Let z be (-2)\/(-13) - (-1824)\/k. Let c(j) = j**2 + 6*j + 3. What are the prime factors of c(z)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -m**2*o**2*t - 6*m**2*t + 10*m*t - 2*o**2*t - 5*o**2 wrt m?\nAnswer: -2*m*o**2*t - 12*m*t + 10*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1198048379.\nAnswer: 11, 367, 296767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 1 - (17 - 14)) + 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 13 = 3*d. Let w(u) = 389*u - 1554. Let z be w(4). Solve r + r - d*l = -29, -6 = -2*r - z*l for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 t when three letters picked without replacement from fuutufttttutttu.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 4*r = -6, -235*s + 2*r - 15 = -230*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 15 = -4*f, -4*y - 2 = -2*f. Suppose 2*n + 12 = 6*n. Let o(v) = 1 - 2*v**3 + 3*v**n - 2 + 3*v**y. Calculate o(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17\/18 + -35\/9. Let u = -47 - -83\/2. Let i = u - m. Which is the closest to 1? (a) 3 (b) i (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/3560744917542 - 7673685505970093563781\/391681940929620. Let u = p + 19591635. Let x = u - 98\/165. What is the common denominator of x and -71\/62?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (y**2 + 0*y**2 - 3*y**2)*(221*y - 30*y + 483*y) + y**3 + 0*y**3 + 2*y**3 to the form n*y + w + j*y**3 + v*y**2 and give j.\nAnswer: -1345","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 179 a factor of 101458632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, n: 3, v: 1, p: 2}. What is prob of picking 1 v and 1 p?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 - 4*w**2 - w + 1. Let l be t(-4). Suppose a - 59 = -d, 3*a = -l*d + 341 - 44. Is 20 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6991628 + 257*y - 6991628 - 244*y.\nAnswer: 13*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4aa7920 (base 11) to base 9.\nAnswer: 17583754","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-20)\/(-4)*(-1 - -2). Suppose 3*z = l - 2*l + 34, -z - 2*l = -18. Let n be 6\/4 - g\/z. Calculate the greatest common divisor of 3 and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94 + 88 = -2*d. Suppose 2*x - 3 = -3*v + 1, v = x + d. Solve -4*q = -5*q - z + 2, 4*z = v*q + 8 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9566 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 704 minutes after 3:02 PM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 244453818?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*i = -7*i + 2*y - 6, 3*i - 7 = -4*y for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/33*2288\/(-416). Sort r, 25, 5, -2, 7 in descending order.\nAnswer: 25, 7, 5, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(2 + -1) + 112\/144?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 744 and 184884?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000012578 rounded to 6 dps?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4843\/3 + 1617. Factor 2\/3*a**3 + y + 4\/3*a**2 - 14\/3*a.\nAnswer: 2*(a - 1)**2*(a + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22 + -17. Let g be -1 + (-1)\/(-1) + i. Solve -g*c - 8 = -4*b, 3*c = -4*b + 2 - 26 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 4. Suppose -2*a = -5*s - 11, 0 = 3*s + s + a + 14. Suppose 262 = 194*i - 126. Put i, s, k in ascending order.\nAnswer: s, i, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-12)\/(-5))\/((-13)\/(-260)). What is the greatest common factor of 16 and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -9) + (-11 - -14 - 33)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-8)\/14)\/(-3 + (-209)\/(-77)). Let i(q) = q**3 - 3*q**2. Let z be i(3). Suppose 0 = 2*t - u - a*u - 69, z = 5*t - 3*u - 177. Does 18 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1.3, 0, -5, -0.3, 3?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1244\/5 or 2\/7?\nAnswer: 1244\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**3 - 24239632*o**2 - 36722460728820*o + 73445018416200.\nAnswer: -4*(o - 2)*(o + 3029955)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z**2 + 98*z - 174. Let j be r(47). Solve 10*c - j + 54 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 299406554?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -463474032 + -7.\nAnswer: -463474039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 38\/9, 4, 3\/2, 3, 0.11 in descending order.\nAnswer: 38\/9, 4, 3, 3\/2, 0.2, 0.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 - 7*u - 9. Let q be w(12). What is the lowest common multiple of q - (-6 - -9)*(-20)\/12 and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 + -15.2. Let j = -0.8 + r. What is the third smallest value in -2\/7, -3\/2, j?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 382345.\nAnswer: 5, 47, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (13 + -1)\/(-4)*20\/(-12). Suppose c*j = -3*j + 56. Let i be (j\/(-14))\/(2\/(-4))*19. Solve 3*u + 4 = 4*x, 3*x - 1 = -2*u + i for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/6*w**5 + 4\/3*w - w**3 - 5\/6*w**4 + 2\/3*w**2 + 0.\nAnswer: -w*(w - 1)*(w + 2)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/6 + (-163)\/(-12) + (-2)\/8?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-90)*3*-1*78.\nAnswer: 39\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 9 - 27. Let a be y\/(-5)*(-45)\/18. Let t(n) = 2*n**2 - 4*n + 3. Let i(j) = -j**2 + 3*j - 2. What is a*i(h) - 2*t(h)?\nAnswer: -h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 900*m - 17. Let v be l(3). Suppose 2*a - 3*n - v = 0, -3*a + 388 + 3640 = -n. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*-2*sqrt(972) + sqrt(972))*-1)\/(4*sqrt(256)*-2 - 3*(sqrt(256) + -2*sqrt(256) + sqrt(256))).\nAnswer: 99*sqrt(3)\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -47764040*n**3 + 35666*n**2 + 256 wrt n?\nAnswer: -286584240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8\/7? (a) -2487 (b) 3\/2 (c) -1 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1776)\/(-40) - 2\/5. Let m = o + -15. Suppose -22 = -4*h - 5*l - 63, -h - 5*l = m. Let i(k) = 3*k + 4. Determine i(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**3\/7 + 9278858*f**2\/7 - 18557724*f\/7 = 0.\nAnswer: -4639431, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/618 and 49\/2172785.\nAnswer: 13036710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13836 - -9736. What is h rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 PM and 2:43 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 - 11*d**2 - 9*d + 18. Let b be w(-10). Let s be -6*1\/(-2) + -11 + b. Suppose h - 28 = -s*h. What are the prime factors of h?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 4 + (sqrt(80) - (sqrt(80) + sqrt(80) + 0 + 3)) + sqrt(80) + (sqrt(80) + 1)*5)**2.\nAnswer: 240*sqrt(5) + 2036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*b**2 - 36*b**2 - 7*b**2 as y*b + s*b**2 + r and give s.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8007, -8007, -7999, -7977, -7935, -7867, -7767, -7629?\nAnswer: -7447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0027807 rounded to four decimal places?\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 67602?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15928255 by 1.\nAnswer: -15928255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 15 = 5. Suppose 3*b - 20 = 2*f, -2*f + 20 = y*b + 2*f. Suppose 1 = p - 3*d - b, -22 = -2*p - 2*d. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 27583078, 55166155, 82749232, 110332309, 137915386, 165498463?\n\"Answer: 27583077*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 4*y**2. Let g(r) = r**2 - 7*r - 81238. Give g(p(v)).\nAnswer: 16*v**4 - 28*v**2 - 81238","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 - -17. Suppose -k*q + 5*s + 10 = -14, 10 = 2*q - 2*s. Let h(w) = -w + 3. Let z be h(q). Solve 2*n - 2*l + 4 = 0, -4*n + z*l = -0*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17.876 + -2\nAnswer: 15.876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*b + 41 + 44 + 56 - 141.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/3))**(1\/48))**(-50) assuming q is positive.\nAnswer: q**(25\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -23*i - 101. List the prime factors of g(-33).\nAnswer: 2, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/28*-2)\/3. Let c = 56 + -56.5. Put c, 1, i in increasing order.\nAnswer: c, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 960 + -959. Solve 2*g + 4 = a, -1 = -a + g + l for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 2 + 0)*(-15*l - 3*l + 3*l) to y*l + q and give y.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 8, v: 1, l: 2, b: 3, s: 1, p: 2}. What is prob of sequence bll?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 10, 9, 1, 2 in descending order.\nAnswer: 10, 9, 2, 1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 3 + -14 + (-18 - -18)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0*(-28)\/924)\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.4 - -0.26. Let h = l - -1.64. What is the third biggest value in h, 2\/5, 4, -27?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**1\/f)\/f**(3\/8))**38*(f**(-5)\/f**(-1\/4))\/((f*f**(-2\/3)*f)\/f**(6\/7)) assuming f is positive.\nAnswer: f**(-409\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002312867 rounded to 6 dps?\nAnswer: -0.000231","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, 9, 107, 311, 657, 1181?\nAnswer: 1919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -151617.9116 to the nearest 1000.\nAnswer: -152000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 185827987571 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 12514?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 231\/181 + 1319995\/1448. Let g = p + -1239\/2. Let o = 293 - g. What is the fourth smallest value in -0.4, o, 0, -1\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12051 by -309.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 - 2*p**2 + p + 1. Let m(r) = -5*r**3 - 27*r**2 + 3*r + 3. Give m(u) - 3*w(u).\nAnswer: -2*u**3 - 21*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e and 1 k when four letters picked without replacement from {e: 7, b: 1, r: 3, k: 2, x: 4, i: 1}.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -203*r + 662. Determine u(6).\nAnswer: -556","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4377002?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10898 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 779763.\nAnswer: 3, 61, 4261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -84 + 60.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1661)\/(-755) - (3\/5)\/3. Let d = 4 + -2. Let o = d + -3. What is the smallest value in -4, r, o?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of -7*t**4\/6 + 7*t - 3. Let f(o) = -8*o**2. What is w(f(p))?\nAnswer: -896*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -364*w + 361*w. Let x(l) = l**2 + 5*l - 4. Calculate the remainder when x(3) is divided by w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -4*j**2 - 5*j - 7. Let p(t) = -5*t**2 - 7*t - 13. Let v(x) = 2*x**2 + 3*x + 6. Let q(f) = 4*p(f) + 7*v(f). Calculate -7*n(d) + 5*q(d).\nAnswer: -2*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -2*w**3 - 8*w**2 + 16*w + 20. Let i be b(-5). Let d(o) = o**2 + 6*o - 15. Give d(i).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 - -6. Suppose -2*l + 5 = 1. Solve 6*o + a = l*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/3 in 4, 23, 3, -94.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 - 2*a**2 - a + 1. Let h be s(-2). Suppose -4*o - 3*q = -51, -6*q = -3*q - h. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -94 - -97. Suppose -3*p + k = 3*k - 8, -p + 11 = -k. Let x = -4 + p. Which is the smallest value? (a) 4 (b) q (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20 by -4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 402328941?\nAnswer: 3, 7, 41, 43, 10867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 3*d + 2. Let b(m) = 8*m - 2 - 1 + 4 - 7*m. Give 2*b(y) - s(y).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/20*4\/(-9)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2287 and 159660044?\nAnswer: 2287","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 190 + -184. List the prime factors of (-52)\/h*(-17 + 20\/(-5)).\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -37646 from 0.0476.\nAnswer: 37646.0476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.657689 rounded to two decimal places?\nAnswer: 0.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z - 4. Let t be j(8). Suppose 3*u = 4*u + f + 50, t*u + 206 = -f. Let g = -259\/5 - u. Which is greater: -1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1943091 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111001101101 + 110?\nAnswer: -111001100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 45593 by -7.\nAnswer: -45593\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 20025 = 5*w + 2071, 2*w = 2*g + 7162. Calculate the remainder when w is divided by 37.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 22.98 (b) 1\/5 (c) 0.13 (d) -17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (9 + -11 + -2)*1*9\/12. Let w = 3 + -3.2. Let c = -6 - -1. What is the nearest to -1 in w, f, c?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 5:35 PM?\nAnswer: 9:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -7, 2195, -4, -9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1504967 to the power of 1\/2, to the nearest integer?\nAnswer: 1227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 4*n - 16882000 = n. What is n rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 + g**2 - 6*g - 4. Let m be x(5). Suppose -4*o + m = -36. Calculate the remainder when o is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.15 * 0.4.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/5)\/((-3)\/(-15)). Suppose 0 = q*m - m. Let p = 9356 - 9353. Put p, m, -4, -1 in descending order.\nAnswer: p, m, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/4 - (-36)\/16. Let p = 3.3 - -12.7. Let h = -8 + p. What is the third smallest value in -0.4, h, q?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28.2 + -28. Which is the nearest to s? (a) 0.04 (b) 4 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(4\/9))**(30\/7)\/((k\/(k\/(k\/(k\/k**(-2\/27)*k))))\/k*k)**(-5\/3) assuming k is positive.\nAnswer: k**(2495\/567)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32 + 11. Let l = y + -25. Calculate the common denominator of 56\/5 and (4\/25)\/(2 + l\/(-8)).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2.39 and 2221.\nAnswer: 2218.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 3*v**2 - 65*v - 13. Calculate s(25).\nAnswer: 237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d - 4*d + 3*t + 177 = 0, 5*d = 2*t - 182. Suppose -2*u - 3 = -5. Let x be u\/(((-39)\/d)\/13). Solve 3*r + r + x = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.6533 + 1.9533. What is the second smallest value in 5, -5, k, -56?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 + 6*c**2 + 6*c + 1. Let y be 14\/(-21)*(-186)\/4. Let n = 26 - y. What is x(n)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/4, -209, 4, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.007014871916 rounded to seven dps?\nAnswer: 0.0070149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, f: 10, b: 1, o: 5}. Give prob of sequence of.\nAnswer: 25\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3736 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 731 = 2*x + c, -2*x + 108 = 4*c - 614. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 24 = 2*f. Let s = 11 + f. Suppose 0 = -3*q + 5*i - 21 + 5, 25 = 5*i. What is the highest common divisor of q and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1675 + -1671. Solve 0 = j*x + 51 - 43 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 87 and 7859.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1211 - 2?\nAnswer: 1209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 23*w**2 - 6*w + 2. Let c(u) = -12*u**2 + 3*u - 1. Let z(m) = 7*c(m) + 4*l(m). Calculate the remainder when 105 is divided by z(2).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 726 (c) 4 (d) -0.3 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/16, -4, 3\/7, -6\/29, -1342\/25 in descending order.\nAnswer: 3\/7, 1\/16, -6\/29, -4, -1342\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2879 * 0.3.\nAnswer: -863.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23621 is divided by 225.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43, 107, 201, 319, 455?\nAnswer: 603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6749*v**2 + 80*v - 12.\nAnswer: -13498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 AM and 8:29 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*b + 0*b - 28*b**2 - 40*b**2 - 2 as m*b**2 + s + n*b and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16320648 or 16320651?\nAnswer: 16320648","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12458359 divided by 97.\nAnswer: 12458359\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b963f (base 16) to base 10.\nAnswer: -759359","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -636\/391?\nAnswer: -636\/391","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of 47*a**6\/60 - a**5\/30 + 143*a**3\/3 - 329*a**2. What is the derivative of b(h) wrt h?\nAnswer: 282*h**2 - 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.8 times -9?\nAnswer: 79.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 12:49 AM?\nAnswer: 5:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 4*s + 364 = 0, 928 = 5*i - 3*s + 2*s. Does 26 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 2*x + 3*x + 2 = 0, 8 = l - 3*x. Let w = 4 + l. Factor -2 - 2 - 3*z + 2 - 3*z + 2*z**2 + w*z**3.\nAnswer: 2*(z - 1)*(z + 1)*(3*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3\/15 - 256*n**2\/5 + 8992*n\/15 - 7936\/5.\nAnswer: 2*(n - 372)*(n - 8)*(n - 4)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -4769549?\nAnswer: -1907819.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -7*h + 12. Let i(u) = u + 4. Let g be i(-4). What is the first derivative of -h*s + s + g*s - 2 wrt s?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -d6 (base 15) in base 9?\nAnswer: -243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1611 and 153.\nAnswer: 27387","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -557*a*y**2 - 89*a*y + y wrt y.\nAnswer: -1114*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - t + 2)*(21*t**3 - 56 + 56) to the form v*t**3 + k + o*t + h*t**4 + l*t**2 and give h.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -110 + 107. What is the smallest value in d, -2\/3, -0.05?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 89*k**2 + 2*k + 3. What is the units digit of p(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*r**3\/7 - 132*r**2\/7 + 32*r\/7.\nAnswer: 4*r*(r - 8)*(4*r - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 10*h**2 + 22*h - 11. Let b(m) = -4*m**2 + 7*m - 6. Let t(n) = 2*n**2 + n. Let j(z) = b(z) + 4*t(z). Let w(k) = -7*j(k) + 3*x(k). Factor w(d).\nAnswer: (d - 1)*(2*d - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -1. Let v = -5 + 0. Let x(b) = 3*b + 10. Let l(u) = v*s(u) - x(u). Let j(p) = -p - 2. Let w be j(2). Determine l(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -522.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 34\/12 + 5\/30. Suppose -2*c = -8*i + n*i - 26, -5*c = -3*i - 65. What are the prime factors of c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 38541072 and 101781?\nAnswer: 115623216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 55\/2 of a milligram?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/(-2))\/(6\/(-8)). Let p(q) = -3*q - 8. Let g be p(-8). Calculate the greatest common factor of g and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13515 and 25245.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5238 is divided by 109?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.164 and -0.8756?\nAnswer: -0.1435984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1360 and 255520.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2082510.202 rounded to the nearest 100000?\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 313*p**2 + 4699*p + 79. What is g(-15)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2091*f**2 - 578*f + 1250*f**2 - 6943*f**2 + 578*f.\nAnswer: -7784*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3593269 + -57518831\/16. Suppose 2*h = -4*v - 2539 - 801, 0 = -4*h - 2*v - 6650. Let q = y - h. Calculate the common denominator of -55\/4 and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -1. Let m(o) = -o - 6. Let v(d) = -d**2 - 9*d - 1. Let l be v(-9). Let x(u) = l*m(u) + 6*t(u). Let g(h) = 2*h**2. Calculate g(x(k)).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29.4 + 32. Let r = -0.6 + g. Let y = r - 2.5. Which is the closest to -0.1? (a) -4 (b) y (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2657795l in millilitres?\nAnswer: 265.7795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 99361853 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is 5690 plus 1.653?\nAnswer: 5691.653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + 2*v**2 + v - 1. Let t be h(2). Let k be ((-3)\/(-2) - t)*0. Suppose k = 4*p + 8 - 24. Which is the second biggest value? (a) 2 (b) p (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20 + 131202?\nAnswer: 131122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 788000718?\nAnswer: 2, 3, 19, 31, 222977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34678985 - 34678985 - 3*w**3.\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2*9\/((-108)\/6)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 40627*q**4 - 18833*q**2 + q.\nAnswer: 975048*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = p - 6*p + 20 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 3:56 AM?\nAnswer: 8:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 511119 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = -1\/6267?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 596 divided by 730\nAnswer: 298\/365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, z: 5, n: 1, b: 1}. Give prob of sequence szs.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/5, -2, 0.5, 1\/6 in decreasing order.\nAnswer: 6\/5, 0.5, 1\/6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 9*b**4\/4 - 40*b**3 - 6543*b**2\/4 + 2607*b\/2 + 370 = 0.\nAnswer: -20, -2\/9, 1, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u**2 + 58055*u**3 + 72644*u**3 - 3*u**2.\nAnswer: 130699*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (60\/(-24)*(-716)\/(-6))\/(2\/18). Is -2685 greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 82225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 83257.1 millimeters?\nAnswer: 83257100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t**2 + t + 3. Let v be 6\/(4 - 40\/12) - 5. Suppose -16*g = -15*g - 5*z, -4*z = v. Let s(l) = -3*l**2 - l - 3. What is g*u(c) - 4*s(c)?\nAnswer: 2*c**2 - c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7 and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 45 + -37. Let z(c) = -4*c**2 + 4*c + 1. Let t be (-6)\/(-4)*(2 + -4)*-1. Let y(d) = 11*d**2 - 11*d - 3. Determine n*z(j) + t*y(j).\nAnswer: j**2 - j - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qyxxtxhhx. Give prob of sequence qhx.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 11*o**3 + 4*o**2 + 9*o - 1. Let f(y) = -12*y**3 - 5*y**2 - 10*y + 1. Determine 4*f(x) + 5*u(x).\nAnswer: 7*x**3 + 5*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1913 = -3*t + 8006. Suppose 2074 = 5*h - t. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 216083 is divided by 1228?\nAnswer: 1183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 2066 = -h + 2063 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -891 + 890.7. Which is the closest to 1.8? (a) 8 (b) 2\/9 (c) -3 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -j*k**2*y - j*y - k**3 + 19*k**2*y + 12*k + 3*y wrt k.\nAnswer: -2*j*y - 6*k + 38*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 3 + 15 - 4 + 5 - 4 + 11*g. Determine y(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7109 (base 12) in base 10?\nAnswer: -12249","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 68078141?\nAnswer: -4\/68078141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*r + 14 = -13 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2 + 2)*(-o + 5*o - 3*o)*(-16 + 10*o + 16) to the form g*o**2 + z*o + l and give g.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of 4*g**5\/5 + 2*g**4 - 44*g**3 + 44*g**2 + 224*g + 486. Determine t, given that j(t) = 0.\nAnswer: -7, -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 7234 = 4*z, -3*x + 2*x = -z + 1812. What is z rounded to the nearest one hundred?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*p - 12*p + 9*p)*(-2 + 2*p**2 + 2).\nAnswer: -40*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -988*h - 497054. Calculate q(-503).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 324471521 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -0*t + t. Suppose -80 = -5*r - 5*s, -17 = -t*s - 1. Calculate the remainder when (0 + -1)*2 - -36 is divided by r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**2 - 3*r**2 + 2*r**2 + (2*r + r - 4*r)*(-4*r + 3*r + 2*r) - 9*r**2 + r - r)*(8 - 8 + 44*r**2).\nAnswer: -484*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together -72 and -1430925770.\nAnswer: -1430925842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2*z = -10, -4*z + 11 = -3*o - 19. Let n be 8\/o - (-204)\/30. Solve -n + 2 = m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55 = -11*y - 88 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -861553237566 - -0.1.\nAnswer: -861553237565.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g**2\/7 - 11663384*g\/7 - 23326784\/7 = 0 for g.\nAnswer: -2, 2915848","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4344, 4195, 3792, 3009, 1720, -201, -2880, -6443?\nAnswer: -11016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/5*u**3 + 0*u + 4\/5 - 3\/5*u**2.\nAnswer: -(u - 1)*(u + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 1 - p - 2*p**3 + 0*p**3 - 3*p**2 - 14 + 3*p**3. Let i(c) = -c**3 + 4*c**2 + 8*c - 5. Calculate the lowest common multiple of i(5) and j(5).\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - -4 - 1 - (-11 + 4) - 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 87 (b) 3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6636 + -6596. What is the third smallest value in -0.5, g, -0.45?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 141449 and 9625.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 2 - 2*d + (-2*d + 2 - 2)*(1 + 0 - 3) - 2*d + 3*d + 0*d + (3 + 4 - 1)*(24 - 6*d - 24) as m*d + s and give m.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 6, 84 - 66 = 4*q + 5*y. Factor 0*h - 1 + 1\/4*h**q.\nAnswer: (h - 2)*(h + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1390*u**6 + 11*u**6 - 7158*u**2 + 4998*u**6 wrt u.\nAnswer: 767880*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/84 and -31\/1500?\nAnswer: 10500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 339529.\nAnswer: -5\/339529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 0.41, 951, 2, -13?\nAnswer: 0.41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -6*v**2 + 2*v - 1. Let c be b(1). Let z(j) be the first derivative of 2*j**2 + 3*j - 15. Let d(y) = 3*y + 2. Determine c*d(u) + 4*z(u).\nAnswer: u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/1950 and 39\/610.\nAnswer: 118950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 28*w**3 + 10*w**2 + 14*w - 46. Let z be h(3). Is 842 greater than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 470 + 7681 = 11*i. Let s = i + -738. Solve 4*v + 6*y - 8*y - 18 = 0, 2*v + 5*y = s for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w + w = 20. Suppose 2*k - w = 8. Suppose k*l - 2*v = 460, 2*l = 3*v - 0*v + 184. Is 11 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = r - 6589, 13*c - 15*c + 13250 = 2*r. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of l**4\/12 - 5*l**3\/6 - l**2\/2 + 17*l. Let y(f) = -f**2 + 8*f - 1. Let r be y(7). Calculate d(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3*c + 4. Let b be j(-4). Let f = -5 - b. Calculate the lowest common multiple of f and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 42*b**2 + 33*b + 33 + 65 - 28 + 39*b**2 - 79*b**2 wrt b.\nAnswer: 4*b + 33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 450\/(-54)*4*(-1)\/(-40)*12?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 44758*r - 2655. Is o(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*s = -49*s - 4. Let j(r) = -8*r - 20. Let h(w) = -3*w - 7. Let d(f) = 14*h(f) - 5*j(f). Give d(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in 4, 0.2, 1\/3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 231 = 21. Suppose -22*v + 28*v - r = 0. Let d = 15 - 9. Solve -v*g - 9 - d = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 17 - 20)*(-10*y**3 - 6*y**3 - 2*y**3).\nAnswer: 576*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 - 8. Suppose -k + w*m - m = 0, 0 = 4*k + 3*m - 33. Let g(f) = f**3 - 6*f**2 - f + 8. Calculate g(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - -2) + (1 - 0)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 - u. Let s(f) = 15*f**2 - 3*f + 2. Let y(i) = -6*j(i) + 2*s(i). Let g be y(5). Calculate the common denominator of 55\/6 and 2\/(-8)*g\/(-18).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) -83\/2 (c) 0.2 (d) -3 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*j - 1505 + 425. Calculate the highest common divisor of 20 and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -118, -929, -3086, -7261, -14126, -24353, -38614, -57581?\nAnswer: -81926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 21 = 5*w. Let r = w + -1. Suppose -r*p = 7 - 2. Which is smaller: 1\/4 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + w = 34, -2*b = -5*w + 2*w. Suppose -b*q + 150 = -0*q. Is q a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -322724, -322725, -322726, -322727, -322728, -322729?\nAnswer: -322730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 3 - 2)*(-6*b + 53*b + 9*b) + 2*b + 2 + 0*b + 0 in the form d*b + j and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/8)\/(1\/(-140)). Let q = i - -179. Let y = q - 53. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 6:08 AM?\nAnswer: 8:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19749440 by -3949888.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -225296*x**3 + 226292*x**2 - 996*x.\nAnswer: -4*x*(x - 1)*(56324*x - 249)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gkak when four letters picked without replacement from kgkkkakkkkgakaak?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -30 - -50. Is 10 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 5) to base 6\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 611880 + -196999. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 + 4*i - 5. Let b be v(-6). Let p = 61.2 - 61.1. What is the second biggest value in -0.2, -1, p, b?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i - 5. Let f(w) = -278 - 4*w + 3*w + 276 + 0*w. What is 14*f(j) - 6*z(j)?\nAnswer: -2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 301882, 1207406, 2716568, 4829368?\n\"Answer: 301819*g**2 + 67*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -905*f + 909*f + 17*f**2 + 13*f**2.\nAnswer: 30*f**2 + 4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 AM and 2:22 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 - 8*o**2 - o + 3. Let x be (-8 - (1 - 1))\/(-2 + 3). Calculate the remainder when 40 is divided by u(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12648*w + 12643*w + y - 20 = 0, 0 = w + y + 10 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 45377 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 93422, 190827, 288234, 385643?\n\"Answer: s**2 + 97402*s - 3981","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 91 + 3 + (-40)\/8?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(2\/45))\/k)\/((k*k**(-22))\/k*k) assuming k is positive.\nAnswer: k**(947\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10756510?\nAnswer: 2, 5, 1075651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2331524965?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 287*s**3 + 5*s**2 + 10. Let q(b) = 33580*b**3 + 584*b**2 + 1168. What is 5*q(k) - 584*w(k)?\nAnswer: 292*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -3*z**2. Let i(k) = 104*k. Give i(u(x)).\nAnswer: -312*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/7*76*(-213)\/284?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 267*r + 1 - 231*r + 4 + (-2 + 1 + 2)*(-2*r + r + 0*r) + 0*r + r - 3*r to w + b*r and give b.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 - 4)*(3861*d + 42 - 3863*d + 46).\nAnswer: -4*d + 176","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*(1\/(-1))\/((-2)\/(-6)). Let b(n) = 9*n**3 - 7*n + 0*n**3 - 8*n**3 - 5*n**2 + 9. Let k be b(6). Solve 0 = -y - 4*o + 4, k*y = y - j*o + 3 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 64 - 42. Suppose 5*v - 3*o - x - 23 = 0, -2*v - 3*o = 3. What is the remainder when 11 is divided by v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3325*z - 4937*z - 2 + 8.\nAnswer: -8262*z + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from idi. What is prob of sequence ii?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -5, -6, -5, -2, 3, 10?\n\"Answer: m**2 - 4*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(640) - (-2*sqrt(640) + sqrt(640))*6)\/(-5*(-5*sqrt(2)*1 - sqrt(2) - sqrt(2))))**2.\nAnswer: 32*sqrt(5)\/5 + 84\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3896478770 by -5.\nAnswer: -779295754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -1320140 to the nearest one hundred thousand.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c - 3*c = 15, 0 = -2*u + 3*c + 1. Suppose u*y = 51 + 19. Let r = y + 5. What is the remainder when 35 is divided by r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7, 2\/21, -1, 2?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -147186 divided by -2.\nAnswer: 73593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from tttctttstsssstscctc.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 37547301.716543.\nAnswer: -37547296.716543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r + 30. Let a(v) = -v + 29. Let k(q) = 3*a(q) - 2*p(q). Let n be k(-24). What is the tens digit of (-20)\/(-5) + 9 - n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a**5\/2 - 553*a**4\/2 + 2199*a**3\/2 - 1643*a**2\/2 - 1100*a + 1098 = 0. What is a?\nAnswer: -1, 1, 2, 549","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ueeueeuueuuuee. Give prob of sequence eu.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -73 + 51 + 38.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 330 = -3*m + 4*j, -5*m + 2*j + 841 = 0. Let z = m - 264. Let k be z\/(-100) + (-1)\/5. Which is greater: 1 or k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60 + 23535\/360 - (-7)\/(-8).\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((32\/876)\/2)\/(12\/9)*(-15)\/15.\nAnswer: -1\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 106 (base 11) to base 8\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d**2 - 69*d + 1304. Let t be g(22). Is t at least as big as -1182?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(sqrt(6)\/sqrt(2))*6*-4 + (2 + sqrt(288) + 2)*5.\nAnswer: 20 + 36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.0363*56\nAnswer: 2.0328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -2*u**5\/7 - 2962*u**4\/7 - 55826*u**3\/7 - 395590*u**2\/7 - 1243700*u\/7 - 1462000\/7 = 0.\nAnswer: -1462, -5, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + -1 + sqrt(153))*2)**2.\nAnswer: 48*sqrt(17) + 628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*a + 0 + 894*a + 0)*(-1 - 4 + 4)*(2*a + 3 - 3).\nAnswer: -1774*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 8961*v + 32. Let g(c) = -260971203*c - 931944. Give 116493*b(k) + 4*g(k).\nAnswer: 8961*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/6 + 168\/(-126). Suppose c = 3*b + u - 4, -18*b - 8 = -19*b + u. Which is greater: b or -46?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 3*d + 21 = -0, 3*v + 5*d = 25. Suppose 0*g = 2*g + 2*m - 4, -v*m - 39 = -2*g. Let r(n) = n**3 - 7*n**2 + 3*n - 10. Determine r(g).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 2*t + 96 = 0, 2*j + 5*t + 50 = 5*j. Suppose 2*q - 165 = -3*q. Suppose 11 = -w + q. Calculate the least common multiple of w and j.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9836a + -2?\nAnswer: -98371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence whew when four letters picked without replacement from {u: 1, w: 4, h: 1, e: 5}.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 523*s**2 + 296 wrt s.\nAnswer: 1046*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaccaaaaaacaaacaaa. Give prob of picking 2 c and 2 a.\nAnswer: 105\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7266849619 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 410309 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/(-84)*(-18)\/(-4) and -13\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 69862 and 26870?\nAnswer: 349310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j**3 - 93*j**2 + 190*j + 2. Give p(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*z + 90 = -0*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 21*v**3 - 15*v**2 + 2*v - 2. Let p(w) = -w**3 - w**2 - w + 1. Let l(c) = 2*p(c) + q(c). Find the third derivative of l(t) wrt t.\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24660 and 1740174?\nAnswer: 822","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-10)*5*-15*56\/50\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.7252 to one dp.\nAnswer: 3.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1427\/2 + 735. Let k = -60 + 52. What is the common denominator of h and 10\/((-640)\/408)*k\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 37 - 34. Solve -2*x + 10 = -q, x = p*x + q - 2 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -476*z**3 + 20*z**3 + 952*z**3 - 477*z**3.\nAnswer: 19*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11537 and 83?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -125*q**3\/3 - 14900*q**2\/3 + 42455*q\/3 - 29890\/3.\nAnswer: -5*(q + 122)*(5*q - 7)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 3339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2264811 and 5?\nAnswer: 11324055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -34132 + -20?\nAnswer: -34152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36 + 29*p + 52 - 11*p - 16.\nAnswer: 18*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1091, 2, 0, -11202 in descending order.\nAnswer: 1091, 2, 0, -11202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14\/11652685 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.052 + -0.252. Let a = -3.5 + 0.5. Sort a, m, 5 in ascending order.\nAnswer: a, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 330 = -t - 2*a, -2*t + 162 = -2*a. Let l = t + 439. List the prime factors of l.\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 6, -20, -62, -126?\nAnswer: -218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*q + 10*q - q to the form s*q + x and give s.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/((-70)\/(-6))*(-10)\/(-12)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.091, -5, -479\/4, 19 in ascending order.\nAnswer: -479\/4, -5, -0.091, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 36 = f, -22787*n = 3*f - 22783*n + 28 for f.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 27 = d - 5*i, -d - 3*i - 13 = 0. Let z(b) = 5*b**3 - b - 2. Is 12 a factor of z(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3979036 a multiple of 631?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 - 9*v - 10. Let c be i(-8). Let d be (-74)\/(-4) + 1\/c. Let p = 29 - d. What are the prime factors of p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: d97d (base 14) to base 11\nAnswer: 26234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 44061955?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 22519695?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11219\/14 + -801. Calculate the common denominator of 29\/48 and s.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 1 = 3*l, -l - 2 = y. List the prime factors of 12\/3 + (485 - y).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f + 5*f - 4*f)*(-2*f + 3*f**2 - 2*f**2 + 3*f**2).\nAnswer: 8*f**3 - 4*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 0 + 12\/7*m**4 - 8\/7*m**3 + 0*m**2 - 4\/7*m**5 + 0*m = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1722 and 41412.\nAnswer: 1697892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -429*d**3 + 358*d**3 - 11414 + 11414.\nAnswer: -71*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2549931 to the nearest integer?\nAnswer: 1597","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28, -93, -200, -349, -540, -773, -1048?\nAnswer: -1365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of m**9\/504 + 3*m**5\/20 - 11*m**2. What is the third derivative of x(d) wrt d?\nAnswer: 120*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/45*-5*27)\/(126\/12)?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28436?\nAnswer: 2, 7109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -5\/3*p**2 - 275*p - 810 = 0.\nAnswer: -162, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - k + 2*k = -33, -2*w = 5*k - 101. List the prime factors of w.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59 = -16*d - 43 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 5*(sqrt(270) - -1*sqrt(270)*-1)\/(sqrt(6) + -1*sqrt(30)\/sqrt(5) + sqrt(6)))*1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - -1 - (704\/(-11))\/16. Solve 3*h + 4*z = -21, l*h + 41 = -5*z + 11 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342402 (base 5) in base 15?\nAnswer: 3952","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of 5\/2*i**2 + 0*i**5 + 0*i**3 + 4*i + 0 + 0*i**4 + 1\/10*i**6. Find the first derivative of t(v) wrt v.\nAnswer: 12*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 AM and 5:32 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 40\/3 + -13. Which is the nearest to u? (a) -3\/2 (b) -0.3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, -1\/4, -9 in decreasing order.\nAnswer: 2\/11, -1\/4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 5*c - 2*z - 32, -2*z - 4 = 0. Suppose -f = 2*d - 10, -2*d = -3*f + f + 32. Is c bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -3*i**2 + i - 2. Let q(o) = 6 - 5 + 2*o**2 - 2 - 3*o**2. Give -2*d(m) + 5*q(m).\nAnswer: m**2 - 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 75*o - 38*o - 32*o = 56, -26*o = -12*x - 264 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l**(-7\/4)*l)*l**6*l*l\/(l**(-5)*l)*(l**5*l)\/l assuming l is positive.\nAnswer: l**(75\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 955 (base 11) to base 4.\nAnswer: 101331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, p: 1, w: 4}. Give prob of sequence wpv.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 245286 + -2246083900\/9157. Put 2\/7, 2, t in descending order.\nAnswer: 2, 2\/7, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggappaaaipaaaappqaga. What is prob of sequence pq?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -13*(-1)\/(-2)*-2. Suppose o*m - 61 = -308. Let i = m + 43. Calculate the highest common divisor of 72 and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 456*g + 1. Let n(q) = -2716*q - 7. Give -8*n(k) - 49*u(k).\nAnswer: -616*k + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 15109129 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -38*v + 126061 - 125643 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 2*i + 26, 3*i = 7*i - 2*r + 102. Let d = 18 + i. Which is smaller: -13\/3 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.4 + 3.9. Which is the closest to -0.1? (a) -2 (b) z (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -80*m + 626. What is the hundreds digit of i(-20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10667*g**5 + 4*g**2*r + 2*g*r - 11189*r wrt g?\nAnswer: -213340*g**3 + 8*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of 4*k**3\/3 - 11*k**2\/2 + 70*k - 1. Let z(u) = -3*u + 4. Give 6*w(c) + 17*z(c).\nAnswer: -3*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 9:30 AM?\nAnswer: 2:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 262141300 to the nearest one hundred thousand.\nAnswer: 262100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -4*a**2 + 44*a + 13. Let h be v(15). Let y = 851 + h. Is 39 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0288882 to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 215 - 13?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.859 and 553.\nAnswer: 1581.027","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 64783777 to the nearest integer?\nAnswer: 8049","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add 16809253514 and -0.25.\nAnswer: 16809253513.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2840029?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/(-10)*26\/91\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 168820\/133 - 24090\/19. Let p*k - 10\/7*k**3 + 6\/7*k**2 + 2\/7*k**4 - 8\/7 = 0. Calculate k.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -120 + 121. Let r = 60 - a. Suppose 0 = 6*g - r - 433. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1816224, 1, -2, -4, 3 in decreasing order.\nAnswer: 1816224, 3, 1, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 5 - 3 = 0. Let o be (-1)\/(-2)*(p - -3). Let v = 5 + -3. Solve -7 = m + v*h, 4*m + 4*h = -19 - o for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 85 and 391.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uvvq when four letters picked without replacement from {u: 4, v: 2, q: 4, m: 4}.\nAnswer: 4\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b\/(b**(-5)\/b)))\/b**(-1))\/(b**(-2\/9)*(b*b*b\/(b\/((b\/(b*b\/(b**(-1\/3)*b))*b)\/b))*b)\/b) assuming b is positive.\nAnswer: b**(-67\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**0*d)**(-22)*d**(1\/4)*d**(6\/5) assuming d is positive.\nAnswer: d**(-851\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1214810 and 2485?\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 178 = 4*j, 11*j + 3*l - 416 = 86 for j.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1423012 (base 5) to base 3\nAnswer: -1111211010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.12 - 2.62. Let u = -2.1 - z. Put 0, 0.1, u in descending order.\nAnswer: u, 0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1295955388?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -22*z**2 - 2554*z - 336. Give h(-116).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -p - 5*w, -2*p + p + 29 = 4*w. Let 179*c - 174*c + p + 7 - 20*c**2 - 5*c**3 = 0. Calculate c.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 86 = -v, -2*v - 2*v = -2*w + 20. What is the remainder when 35 is divided by w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7713 + 57020. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j - 1. Suppose 0 = -3*d + d + 12. Let i(w) be the second derivative of -2*w**3\/3 + 3*w**2 - w. What is d*r(o) + i(o)?\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(45)*-1)**2 + -2.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.5 take away -17193?\nAnswer: 17191.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5907993, -7, 0 in increasing order.\nAnswer: -5907993, -7, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -55.9 rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29 + 267 - 59*m**3 - 301 + 10*m**2 to the form w*m**3 + t*m + h + z*m**2 and give z.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10865 - 7390. What are the prime factors of w?\nAnswer: 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*d - 4*d - 6368. Suppose 4*q = -4*k + d, -4*k - 784 = -2*q - 2*k. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1183 is divided by 44?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.686736 rounded to two decimal places?\nAnswer: -0.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*v + 15 - 15)*(-3 + 6*v**2 + 3).\nAnswer: 126*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z + 0*z = 21*z - 74748 + 76287 for z.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of j**4\/24 + j**2\/2 + 2*j. Let l(y) be the first derivative of u(y). Let d(w) = -w**2 + 4*w**2 - 5*w**2. Give d(l(c)).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of -s**6\/360 + s**5\/40 + 13*s**4\/12 + 18*s. Let r(x) be the third derivative of t(x). Calculate r(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32 - 40) + 22 - -44?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -391 - -395. Put -3, -12, 2, g in increasing order.\nAnswer: -12, -3, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 19 + -35?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (10 + 5 + -7)\/2. Suppose 4 - 6 = -k. Solve y*m + 4*v = -4, -m - 3*v = k*v + 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-24)\/(-10) + (-6)\/15. Suppose b*s - 45 = 61. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*a**3 + 36*a**3 - 14*a**3.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 1.5, 254?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 o when four letters picked without replacement from {o: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.689 + -516.311. Let n = 512.208 + k. Let y = n - -4.7. What is y rounded to 2 decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 divided by 166391.\nAnswer: -36\/166391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) - (3 + sqrt(72) + -1)) + 6*3*sqrt(2) + sqrt(2) + 1.\nAnswer: -1 + 19*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 4*t - 63. Let q(g) = -5*g + 31. Give 3*a(l) + 5*q(l).\nAnswer: -13*l - 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -7 + 1 + 2 + 0 - 10*z. Let d(h) = -5*h - 2. Let i(f) = -9*d(f) + 4*q(f). What is the tens digit of i(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89837 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9943055 to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/((-3)\/(3\/2)). Let h be (-6)\/((-8)\/(-1 + 5)). Suppose -4*x = -h*r - 0*x - 7, r + 4*x - 19 = m. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 379, 388, 419, 484, 595, 764?\nAnswer: 1003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 AM and 4:46 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -16159 and 55.\nAnswer: -888745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -277483194 divided by 4784193\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2049 - 2.2049. Let k = 0.001 + 3.899. Let s = -0.9 + k. What is the smallest value in 0, o, s?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2541 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 6, d: 13}. Give prob of sequence dada.\nAnswer: 65\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 761310 a multiple of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, b: 1, w: 2, s: 1, p: 1, r: 1}. What is prob of picking 1 r and 1 s?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/23283574 and -47\/9587354?\nAnswer: 162985018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 3:28 PM?\nAnswer: 9:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of -u**3\/3 + 7*u**2\/2 - 7*u - 3. Let l be p(6). Let j = 6 + l. What are the prime factors of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11592?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1233232 (base 4) to base 8\nAnswer: -15756","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (8\/2)\/((-4 + 3)*-2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -308.2895 and 2.\nAnswer: -306.2895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -3*h. Let v be 2*2 + -1 - -1. Let q(p) = -p - 418 + 418. Let j(a) = v*f(a) - 11*q(a). Let s(k) = -3*k**2. Give j(s(d)).\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -42 * -9029\nAnswer: 379218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w**2 + 29*w - 91. Let u be z(5). Let t = -106 - -103. What is the smallest value in u, -2, t, 0.6?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00020042 to 5 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 279363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51449*b - 12865*b - 12860*b - 12866*b - 10*b**3 - 12858*b.\nAnswer: -10*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2075 - 874. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-3\/13)*j**(2\/7))**33)**(1\/51) assuming j is positive.\nAnswer: j**(55\/1547)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o - 6. Let r be q(-9). Let z be ((-10)\/25)\/(r\/30). Put -3, z, -9 in ascending order.\nAnswer: -9, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 647486?\nAnswer: 2, 7, 6607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1101 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/21 - 576\/1512.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 - 12. Which is the nearest to 3? (a) k (b) -2 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -17218, -34443, -51666, -68887?\n\"Answer: y**2 - 17228*y + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 408\/108 + 2\/9. Let n(j) = -14*j - 2 - 6 - 11 + j**2 - f*j. Let p be n(19). Solve z + 4*z + o + 12 = p, 3*z = 5*o - 24 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pqqqalqqqqlqqlallqq. Give prob of sequence ap.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 56*i**2 + 104*i - 14. What are the prime factors of w(-12)?\nAnswer: 2, 19, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= -262\/325?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -23*m**2 - 5*m + 56. Calculate the smallest common multiple of b(0) and 49.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-38)\/(-3) + (-1)\/(-3). Let a = f - 8. Suppose -4*o = -a*o + 4. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114 = -6*k + 204. Let f = 422 - 413. Calculate the remainder when k is divided by f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i**3 + 8673*i**2 - 8673*i**2 - 3*i**3.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -390, -387, -384, -381, -378?\nAnswer: -375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18107 is divided by 5615?\nAnswer: 1262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34)\/255*175*(2808\/546)\/(4\/2)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -587295, -587478, -587661?\n\"Answer: -183*r - 587112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.47 - 3.53. What is the second smallest value in p, 24, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8.87 - -8.87. Let r = -253 + 511\/2. What is the smallest value in -5, g, r?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2176239607 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 5*225\nAnswer: 1125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 3*s - 21 = -4*g, 3*s + g - 12 = 0. Find the second derivative of 49*w**3 - 4*w**3 + 2*w**2 + 4 - 12*w**s + 19*w**3 + 4*w wrt w.\nAnswer: 312*w + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by -15783.\nAnswer: 3\/5261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6390 and 42687330.\nAnswer: 2130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*s + 9*s = -4*a - 16, 2*a + 2*s = -8 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 974854?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -9*m**4 + 21*m**3 - 15*m - 3. Suppose -1 = 8*u - 25. Let h(b) = -b - 1. Let i(y) = u*h(y) - p(y). Find x such that i(x) = 0.\nAnswer: -2\/3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3180b0 (base 14) to base 5.\nAnswer: 412031434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 + 10*d**2 - 2*d + 12. Let m be k(10). Let b be 3\/(-2)*m\/6. Find the third derivative of -5*x**2 + 3*x**4 + x**2 + x**b wrt x.\nAnswer: 72*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k. Let g(u) = -u. Let v(q) = 5*c(q) + 6*g(q). Let x(z) = 13*z**2. Calculate x(v(t)).\nAnswer: 13*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3433200 and 7152500?\nAnswer: 85830000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (14 + 1)*(2 - 76\/12). Let i = 58 + t. Put i, -2, 0 in ascending order.\nAnswer: i, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vggx when four letters picked without replacement from vxgxvrxjxyxggvg?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 0 + (0 + 1 + 0)*(5 - 13 - 7))*(-2 - 22 - 1)*(4*j - 5*j + 3*j)*(1 - 4 + 1).\nAnswer: -1600*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 PM and 1:06 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 197129747?\nAnswer: 37, 5327831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - -2598a941?\nAnswer: 2598a940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40 and 1600.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4 + 2)*10\/4. Suppose 0 = n - 3*f + f + 9, -4*n + f = 15. Suppose -4*u + 1 = 5. Sort n, j, u.\nAnswer: j, n, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 136\/(-896)*-2 - 3\/7?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 4:18 AM?\nAnswer: 6:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*c - 2*y + 75 - 43, -5*c = -y - 14 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7.86 - -0.14. Let s = -5 + y. What is the third smallest value in -2, 1\/2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -676*g**3 - 16*g. Let v(x) = 676*x**3 + 18*x. Determine 9*v(o) + 10*y(o).\nAnswer: -676*o**3 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4*sqrt(288)*4 - (sqrt(288) + 2)*-6) + 1)*-4)**2.\nAnswer: 109824*sqrt(2) + 2232976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -8*o**2\/7 - 1446*o\/7 + 362\/7 = 0.\nAnswer: -181, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of -n**4\/12 + n**2 + 2. Let l(u) be the second derivative of y(u). Let b(t) = t**2. What is b(l(m))?\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 513\/9*((-37)\/(-6))\/(-37)*-4.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y - y + 3*y)*(-2*y + 0 + 0) + 4*y**2 + 1484*y - 1502*y - 5*y**2.\nAnswer: -5*y**2 - 18*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of -2*l**5\/3 + 35*l**4\/8 + 60*l**2. Factor u(v).\nAnswer: -5*v*(8*v - 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 2*m - 12, 3*x - 28 = 2*m - 6*m. Suppose x*v - 135 = -5*v. Let q be (0 - (-8)\/(-20)) + 6456\/v. Round q to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 38 - 34. Suppose s = -g*b + 699, 3*b - 702 = -b - 2*s. Let d = b + -102. Does 39 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4153, -2\/19, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -2. Let f = 1.1 + -1.4. Let y = f + 0.1. Which is the smallest value? (a) 1 (b) y (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 3*f + 13. Let b be a(-5). Put b, -5, -1, 12 in descending order.\nAnswer: 12, -1, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - -90?\nAnswer: 8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 AM and 12:39 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 18 - ((2 - 3) + (-71 - -60))\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6ac (base 15) in base 16?\nAnswer: -5e8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from hvvhhhhvhv.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -740 times -0.11\nAnswer: 81.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15120 = -617*b + 632*b. Is 9 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*j**3 + 21*j**3 + 3*j**3 + 112 - 8*j**3 + 10*j**3 - 7*j**3 - 11*j**3.\nAnswer: -2*j**3 + 112","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**2 + 3*u**2 + 0*u**2)*(15*u - 27*u + 11*u)*(2 + 1 - 2 + (3 - 2 - 3)*(1 + 1 - 3))*(2*u - 2 + 2).\nAnswer: -6*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - 40*h**2 - 171*h + 175. Determine s(-34).\nAnswer: -947","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -184*k**2 + 236*k**2 + 3 + 125*k**2 - 3.\nAnswer: 177*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 - 10.2. Let l be 2\/7 + 35\/49. Let j = -5 + l. Put j, 1, s in decreasing order.\nAnswer: 1, s, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -4*w**4 + 4*w**3 + 12*w**2 + 8*w. Let g(o) = 4*o**4 - 3*o**3 - 12*o**2 - 8*o. Let m(k) = -4*g(k) - 3*s(k). Find x such that m(x) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 + 7*i + 5. Let q be p(8). Let t(m) = 2*m**2 - 4*m + 9. Let h(v) = v**2 - 2*v + 5. Calculate q*t(s) + 5*h(s).\nAnswer: -s**2 + 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -661*x**3 + 1329*x**3 - 292*x**3 - 1 + 1 - 240*x**3.\nAnswer: 136*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 161*a + 132*a - 1 - 264*a. Let v(p) = -2*p**2. What is v(m(x))?\nAnswer: -1682*x**2 + 116*x - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 + 31. What is the remainder when n is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.33 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 328786, 657558, 986310, 1315042?\nAnswer: 1643754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(220)\/(sqrt(11)*-3*5))\/((sqrt(540) + (-1*sqrt(540) - sqrt(540)) + sqrt(540) - sqrt(540))\/sqrt(6)) + 1)**2.\nAnswer: 2*sqrt(2)\/45 + 2027\/2025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 770 and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 64*v - 257. Let z be h(4). Is (-2252)\/((4 + 0)*z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -230*w**3 + 71.\nAnswer: -690*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m. Let k(y) = 11*y + 6. Let a(x) = -k(x) + 6*s(x). Calculate a(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 4 - 4*w + (4*w + 0*w - 5*w)*(-1 + 5 - 2) + w - 2 + 2 + (-2*w + 2*w - 2*w)*(-2 + 1 - 1) to k*w + l and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -0*y. Let n = -0.3 - 0.7. Let f = -145.2 + 145. Which is the nearest to n? (a) f (b) 0.4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - ((2 - 6) + 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 8794720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-2*sqrt(99))\/(sqrt(54)\/sqrt(6)*4).\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 3947*y - 34. Let s(c) = -3948*c + 22. Give 2*o(u) + 3*s(u).\nAnswer: -3950*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 PM and 3:54 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59 divided by 4630.\nAnswer: 59\/4630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*c + 9*c**2 - 28*c**2 - 23*c + 1040.\nAnswer: -19*c**2 - 5*c + 1040","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 17057746 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/(-49))\/(2\/(-2))*-399*11\/33.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98281 is divided by 181?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 687?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 557*v - 6037*v - 54800 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 264, 807, 1632, 2739, 4128?\nAnswer: 5799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-99920)\/(-359712)*99\/10?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5140643660.\nAnswer: 2, 5, 1657, 155119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 159\/6*(-214116)\/(-135097)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 100*l - 801. What is n(8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 + 20. Suppose -5*n + 2*a + 25 = 0, 5*n - v*a = -0*a + 40. Suppose -142 + 1027 = n*d. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.674 - -0.7486. Let h = y + 0.8934. What is h rounded to one dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4551, -23\/8, 1 in decreasing order.\nAnswer: 1, -23\/8, -4551","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 578403549 to the nearest integer?\nAnswer: 833","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -147, -194, -265, -354, -455, -562?\n\"Answer: w**3 - 18*w**2 - 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27505 + -27504.9. Which is the closest to y? (a) -1\/41 (b) 0.01 (c) 4\/7 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/2*4203\/(-2802)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -182? (a) -1\/5 (b) -1 (c) 7.1 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, v: 4, x: 4, u: 1, e: 1, d: 1}. Give prob of picking 1 d and 3 v.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 3*m - 7 = 0, -2*m = o + 4 - 2 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 5. Which is the second smallest value? (a) s (b) 3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of -l**3\/3 + 1. Let g(o) be the first derivative of -156*o**3 + 75*o**3 + 278 + 83*o**3 - 7*o. Give t(g(h)).\nAnswer: -36*h**4 + 84*h**2 - 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10374\/55 - -944\/5. Let h be (-4)\/10 + 16\/90. Let y be 0\/1 + 2\/(-25). Which is the biggest value? (a) 0.5 (b) y (c) w (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 5*n - 3*n - 40, 3*n - 34 = -u. Calculate the least common multiple of 72 and n.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/19? (a) -1 (b) -7 (c) -4 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 3*w**2 + 2*w**2 + 0 + 328*w**3 - 2*w - 326*w**3 to the form v + q*w**2 + d*w**3 + y*w and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 26.24693 micrometers?\nAnswer: 0.00002624693","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - 26014?\nAnswer: -26006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/4 + 1168\/(-1120). Let r = 2308\/4445 + g. Is 1 less than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((-1*(-4 + sqrt(500)) + sqrt(500))*-6)**2 + (-4*(sqrt(500) - (1 + sqrt(500) + 2 + sqrt(500))))**2).\nAnswer: -26160 - 2880*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1204455 divided by -57355\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -1\/2, 9022, 5, 1\/3 in ascending order.\nAnswer: -1\/2, 0.3, 1\/3, 5, 9022","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 1\/2174157?\nAnswer: 1\/2174157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 v when four letters picked without replacement from vvbbgovbobnbgbv.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*(-1)\/(-172))\/((7\/154)\/((-66)\/(-121))).\nAnswer: -3\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of (33 + -30 + -1)*16950\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2\/15 of a decade?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of -w**8\/1008 - 4*w**7\/105 - 11*w**6\/24 - 121*w**5\/90 + 2174*w**2. Factor z(d).\nAnswer: -d**2*(d + 2)*(d + 11)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b + 12. Let n be g(-7). Let c = n + -5. What is the first derivative of -p**4 + c + 5 - 3*p**4 - 3 wrt p?\nAnswer: -16*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 14*u**2 - 25*u - 25. Let f be c(-1). Solve -4*o - 2*d + f = 0, -16 = -o - 4*o - d for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -323434*b - 155512*b - 25703*b.\nAnswer: -504649*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5193 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 38*j**3 + j**2 - j. What is the remainder when w(1) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -q + q**2 + 10*q**2 - 2*q**2 + 2*q**2 in the form v + z*q**2 + p*q and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 194*f - 205*f = -44. Suppose 20*x = 24*x + 4*d + f, -3*d = 4*x + 3. Solve 4 = -2*n + 2*w, x = 3*n - w + 6*w - 18 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 3375 = 4*d - 637, -4002 = -4*d - 3*m. What is the tens digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -653.73 + 1494.07. Let s = -849 + o. Round s to 1 dp.\nAnswer: -8.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.5 plus -1.670536?\nAnswer: -0.170536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -289148 (base 11) to base 10.\nAnswer: -451382","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t + 1. Let u be n(3). Let k be u\/(-4) + 40\/16. What is the units digit of (0 + (-33)\/(-9))*k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (355\/142)\/(10\/(-15)).\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 4, 0.3, 0.843224?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6134.184004 rounded to 0 dps?\nAnswer: -6134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 + 18*d - 8. Let h be r(17). Let u(c) = -3*c**3 + 9*c**2. Suppose 8*i + 76 - 44 = 0. Let p(w) = -w**3 + 4*w**2. Determine h*p(z) + i*u(z).\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/11 (b) -4\/5 (c) 2\/21 (d) -15.6 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + 375561?\nAnswer: 375563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 - 28*m**2 - 10*m + 71. Determine a(-27).\nAnswer: -388","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(3\/2))**(15\/2)\/(n*n*n**(1\/4))**41 assuming n is positive.\nAnswer: n**(-147\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -47 + 44. Which is the smallest value? (a) n (b) -5\/6 (c) -2\/11 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11100000100101011110 (base 2) to base 12\nAnswer: 384426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 44273, 88597, 132921, 177245?\n\"Answer: 44324*y - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 32 + -24. Suppose -932 = -60*l - 388 + 1376. What is the highest common divisor of l and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1274, 5087, 11442, 20339, 31778, 45759, 62282?\nAnswer: 81347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, g: 2, a: 2, b: 1, r: 1, k: 2}. Give prob of sequence aa.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3269 and -10.762.\nAnswer: -35180.978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 - 26\/(-1 - 1). Solve 6*x = 2*x + t for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 38 + -16. Suppose 0 = -2*d - 4*y + c - 6, 2 = 2*d - 3*y. Is 2\/(d - 2) + 34 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1353.1*3.\nAnswer: 4059.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/5, -5, 0.02, 0?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 1045017?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 + 6*i**2 + 2*i - 4. Let f be (-7 - -2)\/((-5)\/5). Suppose -f - 3 = -2*t. Let m be y(t). What is the highest common divisor of 12 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - (sqrt(3) - 5*(sqrt(3) - (1 + sqrt(3)))) - sqrt(3))**2 - -2*((sqrt(3) + 0)**2 + sqrt(3))) + 3.\nAnswer: 12*sqrt(3) + 37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -7*j + 5. Let n(y) = y**2 - 27*y + 89. Let q be n(22). List the prime factors of s(q).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/2, -4, -2, -27012?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2650074 and 1666?\nAnswer: 315358806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {w: 5, k: 7}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 less than -0.70255?\nAnswer: -2.70255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10459*l - 206*l**2 + 207*l**2 + 3627*l to the form y + w*l**2 + o*l and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 121879 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 144326, 577297, 1298914, 2309177, 3608086?\nAnswer: 5195641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + j + 18 = 0. Let x be ((-9)\/3)\/(j\/(-12)). Find the second derivative of -2*u + 2*u**x - 16*u**3 + 0*u**4 + 16*u**3 wrt u.\nAnswer: 24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.9 in 258\/13, 1\/41, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6551 - 3612. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 276\/1564*(-153408)\/192?\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 4*l**2 + 5*l + 6. Let g(b) = -b. Let v(s) = 5*s**2 + s + 7. Let n(m) = -5*g(m) + v(m). Let a be (-2)\/(12\/(-15))*(-12)\/(-5). What is a*u(d) - 5*n(d)?\nAnswer: -d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 12 = -0*h - 3*h, -h = -4*m - 16 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 48802842 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -31 - 24*w - 21 + 24. Let x(m) = -24*m - 28. Let h(u) = 6*r(u) - 7*x(u). What is the first derivative of h(j) wrt j?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -43, -88, -137, -190?\n\"Answer: -2*d**2 - 39*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 4*r**2 - 3*r - 3. Let b(n) = -3*n**2 + 2*n + 2. Suppose 0 = -u + g - 2*g - 4, -2*g = 5*u + 17. What is u*b(k) - 2*j(k)?\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 + 18 = -9*v for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -205*j + 884 = -141. Solve -j*t - 2*d + 4 = 0, -3*d - 7 = -4*t - 13 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*(304\/(-760))\/(12\/(-10))\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -s**4 - 8*s**4 - 21*s**2 + 22*s**2 wrt s?\nAnswer: -216*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + 3. Suppose -u = 3*u - 3*n - 15, p*n = 3*u - 3. Suppose 3*j + u = -2*r, 3*j = 3*r - 6*r - 3. Solve f + 2*f = -r for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 7:49 PM?\nAnswer: 11:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -39.8 + 40. Which is the second biggest value? (a) 18 (b) t (c) 5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3.761 from 5231.\nAnswer: 5227.239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15564255.\nAnswer: 3, 5, 7, 227, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*n**2 + 11*n**2 + 29*n**2 - 2*n**2 + 4*n**4 wrt n?\nAnswer: 96*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (54\/(-24))\/((-6)\/16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 6)*(-43*x - 79*x + 21*x - 7*x).\nAnswer: 432*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -320 + 320 = -x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 98449744 to the nearest integer?\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1950700 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 + 9 = a + k, 0 = 5*a - 3*k - 374. Let j = -17 + a. List the prime factors of j.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 67*b**2\/6 - 947*b - 1105\/6.\nAnswer: (b - 85)*(67*b + 13)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15\/91 + -4\/13. Let j = -0.8 - -0.3. What is the second biggest value in n, -1\/4, j?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 78662431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/3))**(-34)*l**(-11)\/l**14)**8 assuming l is positive.\nAnswer: l**(-328\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 36\/(-108) - (-2*2\/12 + -3). Solve u*x + 1434 - 1443 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/6 - 13\/(273\/(-6286)) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12 is divided by (-966)\/(-210) - 2\/(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 6 = -3*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/2 (b) 3 (c) 5 (d) -258 (e) -0.4 (f) 0.45\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 296.\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 - 9*j + 14. Let q be v(7). Suppose -4*d = -q*d - 244. Calculate the remainder when d is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -1860*l - 7. Let h(k) = 5572*k + 24. Determine 4*h(u) + 14*i(u).\nAnswer: -3752*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -40*d**2 - 7404*d - 90128.\nAnswer: -4*(d + 172)*(10*d + 131)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 810?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6 - (-3 - 16\/(-4)). Suppose g*q - 15 = -5*o + o, 4*q + 9 = o. Solve -4*t - o = -3*v, -3*t + 2*v = -0*v + 3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmc when three letters picked without replacement from cccmccmcccmmcc.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2. Let j = -50 - -56. Let i(k) = -4*k - j*k + 0*k + 9*k. Determine a(i(o)).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7\/6 + -3\/2. Let b = 2.3 + -2.2. Let d = 1 - 0. What is the closest to d in -0.4, b, o?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 925060*n**2*s + 11027520*n**2 - 2*s wrt s.\nAnswer: 925060*n**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*t + 38*t - 14 = 0. Suppose t*r + 5*n - 10 = 0, -8*n - 25 = -5*r - 4*n. Solve -3*i - 17 = -r*u, 4*i - 5*u = -3*u - 18 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/3)\/(14\/(-189)). Let k = a + -7. Factor 0*r + 2\/3 + 0*r**3 - 4\/3*r**k + 2\/3*r**4.\nAnswer: 2*(r - 1)**2*(r + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.8461ml in litres?\nAnswer: 0.0208461","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13274.3 + 13274. What is the closest to 2 in -2\/7, a, -1, -0.117?\nAnswer: -0.117","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -79, -76, -71, -64, -55, -44, -31?\n\"Answer: p**2 - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/10*75\/(-30)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 359*l - 2418 = 137*l + 187*l + 128*l for l.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*d**3 - 159129*d**2 + 636480*d - 636468 = 0. Calculate d.\nAnswer: 2, 53039","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 72534244 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2272 is divided by 113?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 4)*(-10*v + 14*v + 6*v)*((1 - 2 - 1)*(3 - 3 + 2*v**3) - v**3 + 2*v - 2*v - v**3 - 5*v**3 + 2*v**3).\nAnswer: -270*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 PM and 6:32 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 33) + 105 - 35.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/614 in 5, 0.5, 10\/3, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.18 - 20.18. Let t = 13 + u. Let c = t - -6.99925. What is c rounded to four decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 2*x**2 - 232*x + 6720 = 0.\nAnswer: 56, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -777, -3144, -7115, -12684, -19845, -28592?\n\"Answer: o**3 - 808*o**2 + 50*o - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 662.578 kilograms to grams.\nAnswer: 662578","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 1\/3*n**3 - 1\/3*n + 2\/3*n**2.\nAnswer: -n*(n - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.4 in 4\/9, 3, -3, 111?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 82, 170, 258?\nAnswer: 346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 - 4*z**2 + 21*z - 35. What is a(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1\/14*(-720)\/(-60)\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*s**4 + s**4 - 2*s**4 + (-3*s**3 - 3*s**2 + 3*s**2)*(s - 5*s + 2*s).\nAnswer: 8*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand c - 2*c**4 - c**4 - 2*c + 2 + (-c**3 + 0*c**3 + 0*c**3)*(-c - 2*c + 5*c).\nAnswer: -5*c**4 - c + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -127, -139, -159, -187, -223, -267, -319?\nAnswer: -379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.32563 - -3.67437. Which is the third biggest value? (a) 2\/13 (b) 1 (c) -0.083 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o**3 - 11*o**2 + o + 12. Let f be s(5). Let q be 1\/(-4) + (-1076)\/(-16). Let c = q + f. Is 29 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - -4)*(-10)\/(-6). Suppose -4*c + 284 = -4*x + d*x, -2*x - 3*c = -548. What are the prime factors of x?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of -i**6\/300 + 43*i**5\/150 - 26*i**4\/3 + 80*i**3 - 95*i**2 - 3. Factor r(b).\nAnswer: -2*(b - 20)**2*(b - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -499490*h + 993900*h - 474001*h to the form g*h + t and give g.\nAnswer: 20409","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of 49*m**6\/60 - 19*m**3 - 8*m**2 - m. What is the derivative of a(j) wrt j?\nAnswer: 294*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/3 or 2\/53?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3426\/57 + 11 + 1477\/(-133). Solve -r = -2*s - 7, -3*s + n*r = 55*r + 21 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 1, 10 in descending order.\nAnswer: 10, 1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 4*c. Let t(g) = 4*g**2 + 2*g - 42. Let l be t(-6). Let h(b) = 53*b**2 + 3*b - l*b**2 - 3*b. Give h(u(j)).\nAnswer: -592*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 778*d**2 - 40. Let v(u) = -40457*u**2 + 2070. Determine -207*p(o) - 4*v(o).\nAnswer: 782*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -8*i. Let h(r) be the second derivative of -7*r**4\/12 + 62*r. Give h(n(g)).\nAnswer: -448*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 + 32*p**2 + 176*p + 2526. Determine i(-29).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - y + 34 = 0. Let s be y\/(-35) - (-6)\/(-21). Suppose 0*o + 2*o = -10. What is the biggest value in -1\/2, o, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhhhhhmhmamymhh. What is prob of sequence ymh?\nAnswer: 11\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + 0. Suppose 5*l + 4*o - 20 = 0, 25 = 2*l - 0*o + f*o. Solve -5*r - w + 10 = 0, -5*w + w - 20 = l for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 700475804 divided by 7.\nAnswer: 100067972","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 314 and 64.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/14665 and 13\/5099230.\nAnswer: 35694610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10715?\nAnswer: 5, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -209, -0.26, -1\/5, 2, 30?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -173 - (70 + -131) - -147?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4288891859 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 334.7146 to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116506584 - 3*s + 116506584.\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 217*l**2*y**2*z - 5*l**2*y*z + 52*l**2*y - 8*y**2 with respect to z.\nAnswer: 217*l**2*y**2 - 5*l**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -50*m - 40. Let s(x) = 33*x + 27. Let g(r) = 5*n(r) + 8*s(r). Let v(j) = -3*j - 3. Let d(a) = 2*g(a) + 11*v(a). Give d(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 267966.1 times -82?\nAnswer: -21973220.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2028506?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/(-4))\/((-3)\/576). Let n = -803 - -1388. Suppose 5*s + 5*v = n, -v + 48 = -2*s + r. Is 24 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -147*n. Let h(t) = -294*t. Give 9*c(m) - 4*h(m).\nAnswer: -147*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*5*(sqrt(5) + sqrt(20) + 1).\nAnswer: 15 + 45*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of f**4\/12 - 5*f**3\/6 - 148*f**2 - 2. Let n be ((-14)\/3)\/(32\/48). Determine l(n).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 40910407?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3181458?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 576686?\nAnswer: 2, 11, 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(513)*-1 - sqrt(57))*-6)\/(sqrt(15)\/(sqrt(875)\/sqrt(7))))**2.\nAnswer: 273600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -399 = -10*c - 379 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/7 + 1704154*n\/7.\nAnswer: -n*(n - 1704154)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from equueueqqqqeqq. What is prob of sequence ee?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3876 divided by -6\nAnswer: -646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -62821*l**3 - 97021*l**2?\nAnswer: -376926","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4948\/7 - 707. Which is the closest to 2? (a) m (b) 0.2 (c) -4 (d) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of -i**7\/210 - i**6\/50 - i**5\/100 + i**4\/20 + i**3\/15 + 4*i + 54. Find k, given that h(k) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -2*((sqrt(432) - (-1*sqrt(432) - sqrt(432)))**2 + sqrt(432) + -4 - (2*sqrt(432) + 4))*-1.\nAnswer: -24*sqrt(3) + 7758","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 47\/69 - 8455\/966. Let p be 65*3\/((-252)\/258). Let x = 199 + p. Calculate the common denominator of f and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b + 6. What is d(-15)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -144\/19 - 841\/57. Let q = 172467 + -1201051\/7. Let d = q - 883. Find the common denominator of d and a.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 - 9*d - 287. What is l(22)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13334477?\nAnswer: 13, 17, 60337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81462*k + 7*f - 3*f - 26 = -81459*k, 4*f + 24 = -2*k for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 41 from -15799609.3846.\nAnswer: -15799650.3846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 576 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(176) + (sqrt(11) - (sqrt(99)*-5 + sqrt(11)))**2.\nAnswer: 24*sqrt(11) + 2475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dh when two letters picked without replacement from dhod?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 197456?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-3) + 72\/(-108). Let i(m) be the third derivative of -m**5\/120 + 13*m**4\/24 + m**3\/6 - m**2. Let b(j) be the first derivative of i(j). Give b(s).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 2 - 6)*(1 + 0 - 2) + 3 + 1 - 5 + 12 + 4 + 3 + 5 + 0 - 2)*(r + 2*r - 4*r) - r + r - r.\nAnswer: -23*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 534687572.\nAnswer: 2, 133671893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 6407631?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 102 = -2*l, 0 = 19*a - 20*a - 5*l + 9. Suppose -j + 1290 - 413 = 5*w, -4*w + 719 = -5*j. What is the greatest common divisor of w and a?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -341 less than -21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -478.51 + 14.68929?\nAnswer: -463.82071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-624)\/63 - (-1 - 3)) + 6?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*20\/(-500)*-5?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 - z - 3. Suppose 10*t - 30 = 25*t. Let d be n(t). Let r be ((-1)\/(-2))\/(3\/24). Put d, 5, r in decreasing order.\nAnswer: 5, r, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v - 4. Suppose 0 = -q - 2*q + 9. Let k be g(q). Let s(z) = -3*z**3 - 1. Give s(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 8:53 PM?\nAnswer: 1:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 66, -6, -21\/5?\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 17 - 7. Let w be f\/(-4) + (-3)\/(-12). Let p = 23\/128 + -37\/384. Which is greater: p or w?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31224 divided by 3903\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (6 + 6) - (-7 + 9 + -11)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 56 by -3980.\nAnswer: -14\/995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1233131 (base 4) to base 6.\nAnswer: 53005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14.5 + 14. Which is smaller: w or 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4091662192 - -687.\nAnswer: -4091661505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 + 117853.\nAnswer: 117852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*3*(-6*(sqrt(1377) + 1 - sqrt(1377)) - (sqrt(1377) + (sqrt(1377) - sqrt(1377)*-2))*3))**2 + -4 + 0 + -2.\nAnswer: 419904*sqrt(17) + 64256970","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 - 13*j**2 - 2*j + 6. Determine f(13).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8437?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2563 - 245 = 114*v + 8*v for v.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**3\/13 - 658240*s**2\/13 + 54161961866*s\/13 - 324948074988\/13 = 0 for s.\nAnswer: 6, 164557","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 3*h**3 - 69*h**2 + 26*h - 338. Is 20 a factor of a(23)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 420803776.\nAnswer: 2, 6575059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (30 - (13 + (-19 - -23))) + -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 493613?\nAnswer: 31, 15923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 598e (base 16) in base 8?\nAnswer: 54616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 9 = -0. Suppose u = -2, -q*n + 4*u = 3*u - 8. Suppose -3*d + 39 = 3. Solve d - 4 = -n*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*n**3 - 95805*n**2 + 95805*n**2 + 77*n**3.\nAnswer: 129*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/40 - 44\/(-160)) + (-252)\/30.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 + 1394.\nAnswer: 1394.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from shhcsphchhhfplclf. Give prob of picking 1 f, 1 s, and 1 c.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/689 or 0?\nAnswer: -3\/689","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g - g + 3 + 4*g - 3*g + g. Determine o(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(363) + 1*(-2 + sqrt(363)) + -1 - (-1*-1*sqrt(363) + -3)) + -1)**2.\nAnswer: -22*sqrt(3) + 364","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 + 4*o**2 - 7*o - 7. Let p be m(-5). Let d = -8 + 13. Let h = p - d. Put -1, -5, h in ascending order.\nAnswer: -5, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 11:42 AM?\nAnswer: 8:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00365 rounded to 4 decimal places?\nAnswer: -0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10692 and 739692.\nAnswer: 972","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 18 (b) -8 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2\/135 - -409\/270. Let g be ((-184)\/368)\/((-34)\/8). Which is the smallest value? (a) 0.3 (b) n (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 527*c**3*v**5 + 125*c**3 - 4*c**2 + 46*c*v**4 + 11*c*v + 20*c - v**2 wrt v?\nAnswer: 31620*c**3*v**2 + 1104*c*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.7? (a) 2 (b) -1\/3 (c) -0.13 (d) 2.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91419046 is divided by 4197.\nAnswer: 4189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q. Let d(l) = 23*l - 2. Let m(r) = -22*r + 3. Let w be (-76)\/(-28) + (-8)\/(-28). Let x(v) = w*d(v) + 2*m(v). Calculate f(x(z)).\nAnswer: -25*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2950 + 669649\/227. Is 1 > a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -3*c**3 + c**2 + 1. Let i(a) = -4*a**3 + 2*a**2 - a + 2. Let x(g) = -2*i(g) + 3*j(g). Let y be x(-2). Is y\/2*(1 + -31) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1837665*z**3 - 2*z**2 - 276039389*z + 2?\nAnswer: -11025990*z - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-1\/13))\/i**(5\/4)*(i\/(i*i**2))\/i**(-2\/11))\/(i**(2\/31)\/(i*i\/i**(-10)))**(-5) assuming i is positive.\nAnswer: i**(-1093509\/17732)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28 - -51. What is the remainder when l is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 4*b**2 - 3*b + 4. Determine s(2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 4*b**3 + 23*b**2 - 11*b - 23. What is j(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11304014*l**2 - 436478*l?\nAnswer: -22608028","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-32)\/(-8) + -1*(5 + -1). Let q(m) be the first derivative of -1\/3*m**3 + h*m + 0*m**2 + 3. Let a(b) = b**2. Calculate a(q(p)).\nAnswer: p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -931, -5, -3, 35, -4 in descending order.\nAnswer: 35, -3, -4, -5, -931","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do -117 and -242416\/2051 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (22 - 18) + -18 + 32\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -78 - -74. Let t = -0.2 - -0.4. Let r = -0.01 - 0.09. Which is the nearest to r? (a) t (b) h (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 15, 5*p - 4*f - 73 = 59. Suppose -k - 5*k = -p. Find the second derivative of -17*g - 3*g**4 + g**4 + 3*g**k wrt g.\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(204)\/(2*sqrt(12)*-2) - (0 + sqrt(153) + 4)**2.\nAnswer: -169 - 97*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -134 + -54241102?\nAnswer: -54241240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/12)\/(45\/(-450)). Factor 1\/3*z**3 - t*z**2 - 1 + 7\/3*z.\nAnswer: (z - 3)*(z - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 5*b - 0*s - 33, -4*b + 48 = 4*s. Let q = 11 - b. Suppose y - 5*y - 14 = -2*r, -5*r - q*y - 1 = 0. Is r at least 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 227*u + 7041. Give k(-31).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -22431 (base 7) to base 5\nAnswer: -140311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38 - -35 - ((2 - 4) + 5).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 27 = 66. Let q = v - 8. Let k = q - 7. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 35 = -0*w. Suppose s = 3*z - 18 - 9, -w*s = 4*z - 17. What is the least common multiple of z and 22?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -112*k - 7. What is v(0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-21) - 131577\/(-189). Let o = 697 - z. Which is greater: o or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 - 5*q + 3. Suppose 59*a = -436 + 82. Calculate v(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56800 and 51475.\nAnswer: 1775","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 - 7 = -b. Let d be (4 - -2)\/(6\/4). Let n = 122 + -119. Solve n*h + b = -5*m - h, 3*h = d*m - 7 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 2\/9, 2\/21, 84\/433, -3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(504) - sqrt(504)*2) + sqrt(14) + sqrt(224) + 2*sqrt(224))\/(sqrt(8)\/(sqrt(400)*-2)).\nAnswer: -140*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1154 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*l + 700 = -14*l. Round l to the nearest ten.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1125335 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of 5*a**4\/4 - 15*a**2\/2 - 10*a + 16. Let k(b) = 0. What is b?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 2 + 8)*(13*k - 7*k - 9*k - 2)*(-1 + 2 + 0)*(-3*k + 2*k - k).\nAnswer: 78*k**2 + 52*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.08, 4, -5, 1\/3, -0.05?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -267 + 261 + 0 + 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 - 75*a + 1243. Calculate m(25).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5*(2 + -3 + 2). Determine y so that -v*y**3 + y**3 + 83*y**2 - 91*y**2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 541373?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1089 and 12642894.\nAnswer: 139071834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 209391039 is divided by 1631.\nAnswer: 1628","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 times -872436\nAnswer: -26173.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 41 + -4. Let o = -50.328717 - -87.3287. Let p = i - o. Round p to six decimal places.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 6272 = -2*h, -5*l + 26*h - 22*h + 7840 = 0. Calculate the highest common divisor of l and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 18*((-48)\/(-9) + -2). Suppose -4*m - n = -9*m. Solve 0 = -5*d + d + m for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -21 - 10053?\nAnswer: -10114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/12 and 7\/464?\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -49*h**2 - 130*h**2 + 28*h**2 + (2*h + 3*h - 4*h)*(-48 + 48 - 48*h).\nAnswer: -199*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2209198 is divided by 1200.\nAnswer: 1198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 66 + -63. Suppose 0*z - 2*z - q = g, -4*z = 12. Suppose g*x + 0*x - 10 = -5*u, -5*u + 10 = -3*x. Solve -u - 4 = -3*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 - m**2 + 4*m + 1. Let g(o) = -o + 1. Let w be g(4). Let a be u(w). Suppose -2*v = -a - 3. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -3\/5 (b) 2 (c) -54.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(99)*2 - sqrt(99))*-6 - (5 + (sqrt(176)\/sqrt(4))**2))*4*1.\nAnswer: 1176 + 432*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -98 + 97. What is the nearest to -2\/17 in -1\/2, 1, k?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2076*y. Let l(p) = p**2 - 5. Give f(l(w)).\nAnswer: 2076*w**2 - 10380","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 290333, 290353, 290373, 290393, 290413, 290433?\nAnswer: 290453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 3*m = 8*m + 981, 4*u - 971 = -5*m. What are the prime factors of u?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1986 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -35 divided by 4271\nAnswer: -35\/4271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 44 - -2 - (-2166 + 2191)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r + 1. Let x be t(-3). Let c(f) = -2*f + 1. Let i be c(0). Suppose 2*m + 5*v - i = 0, -4*m + 0*m - 5*v = -7. Sort m, 0.4, x.\nAnswer: 0.4, m, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 360064 - 4323?\nAnswer: 352441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u**4 + 4 - u + 2*u**4 + 3*u**2 - 4*u**2 - 2*u**4 as q*u**4 + x + p*u**3 + r*u**2 + z*u and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) 0.2 (c) -1 (d) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -38\/1647 and 143\/6588.\nAnswer: 6588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 235, 410, 585, 760?\n\"Answer: 175*f + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 3*n**3 - n**2 + n + 1. Suppose 20*p + 724 = 164. Let f be (p\/36)\/1 + (-26)\/117. Calculate t(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3534)\/(-12))\/((-6)\/(-4) + -2). Let l = g + 1441. Suppose 0 = k + b - l, -2*k = -4*k - 4*b + 1708. What is k rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -665 = -110*x + 435 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 149 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 179097 (base 10) to base 3.\nAnswer: 100002200020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 182.1 - 153. Let u = 29.1 - t. Which is greater: u or 13\/9?\nAnswer: 13\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 80 = -7*y - 6*w, -5*y - 531 - 527 = 2*w - 1081 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 2 b, and 1 x when four letters picked without replacement from {o: 1, d: 4, x: 2, b: 5, v: 4}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1010200 - -3?\nAnswer: 1010203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_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: Rearrange -1 + s**2 + 1 + (-1 + 3 + 0)*(-s**2 - 1 + 1) + 1 - 3*s**2 - 1 + 5*s**2 - 2*s**2 - 2*s**2 to the form t*s**2 + g*s + o and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 22258 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23*42\/(-12)*44\/(-77).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22069.94 - 22070. Which is the fourth biggest value? (a) s (b) 2\/7 (c) 2\/5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1c2 (base 15) to base 5.\nAnswer: 3112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - 16) + 11 - 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1633 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, b: 4, p: 2}. Give prob of picking 3 b.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (20\/24)\/((4560\/342)\/((-2)\/(-3)))\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 6 = -b - 2*r, -4*r - 6 = -b. Suppose -4*f - 2*o + 13 = -3, 0 = -2*f + 4*o + 28. What is the highest common factor of f and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2346.8*-2.\nAnswer: -4693.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 321 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8025 (base 12) to base 3.\nAnswer: -201000002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 453475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.62105 + -155\nAnswer: -154.37895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01979 rounded to three decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (-117 - -120 - 89)?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 39\nAnswer: -5\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r - 12. Determine a(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, z: 2, u: 4}. Give prob of sequence uz.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of 1\/6*r**3 + 0*r + 0*r**2 + 3\/8*r**4 - 3 + 1\/5*r**5. Factor w(h).\nAnswer: h**2*(h + 1)*(2*h + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -777604, -3110435, -6998478, -12441727, -19440176, -27993819?\n\"Answer: h**3 - 777612*h**2 - 2*h + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -14, -5 in increasing order.\nAnswer: -14, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27486110?\nAnswer: 2, 5, 17, 161683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1139.3146872 + 0?\nAnswer: 1139.3146872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2))**(-4\/11)\/(h\/h**1)**(-27))**(-6\/29) assuming h is positive.\nAnswer: h**(-48\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of -1\/3*h**3 + 92*h + 11\/6*h**4 + 105\/2*h**2 + 0. What is the derivative of f(d) wrt d?\nAnswer: 44*d - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 AM and 12:44 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/(-15) + 12\/9. What is the third biggest value in 0.1, -2, c, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 9*f**2 - 3*f + 2. Let u(d) = -d**2 - d + 1. Give -h(y) + 2*u(y).\nAnswer: -11*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5704 and 1924732.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13329574 is divided by 459637.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*o - 1334 = -7*o - 4750 for o.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -114067485 divided by 7\nAnswer: -16295355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2*a + 16. Let z be h(-7). Let g(c) = 10*c**2 + c + 2. Let r be g(z). Let k = -19 + r. Does 25 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 40 = -3*g + 3*d, -3*d = 15. Suppose g*f + 131 + 4 = 0. List the prime factors of (28\/3)\/((-18)\/f).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = -5*f - 29, -12 - 2 = -z + 2*f for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 - s + 1. Let w be y(-4). Let g be w*(0 - (1 - 0)). Suppose 0 = -4*i - 2*f - g - 3, -i = 2*f + 2. Sort 5, i, -2 in descending order.\nAnswer: 5, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 25 + (0 - 1)\/1. Let a = f - 12. Suppose 233 = 5*n - a. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18069*f**2 + 0 - 1 + 1 + 13779*f**2.\nAnswer: 31848*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2073*c**2*d*q + 2*c**2*d - 66*c**2*q - 190*c**2 - 125*c*d - c + 3*q**2 + 2 wrt q.\nAnswer: 2073*c**2*d - 66*c**2 + 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 51712 or 51675?\nAnswer: 51675","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -234? (a) 25\/11 (b) 0.4 (c) -15 (d) -16 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 2*g + 14, 33 = 4*t + g - 23. Calculate the remainder when 279 is divided by t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-27630)\/(-1380) - 20)*-4\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -859*(0 + 5\/(-70))*-2. Let o = r - -123. What is the closest to -2\/5 in o, -16, 0.4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -18*d**2 + 6*d + 11. Let o be b(3). Let l = 148 - o. What are the prime factors of l?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l*l**(3\/5)*l*l)\/l*l\/(l\/(l\/(l**8*l))) assuming l is positive.\nAnswer: l**(-17\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (11 - -1) - (0 + -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13418?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 3312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 - k**2 + 26*k - 75. What is the remainder when 4009 is divided by u(3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 268563 is divided by 26854.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(2 + sqrt(1100))*3*3 + 5 + 0 + -1 + sqrt(1100) + sqrt(1100) + sqrt(1100) + 3)**2*6.\nAnswer: 257400*sqrt(11) + 7212750","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*c = 52*c - 4571 - 7317. List the prime factors of c.\nAnswer: 2, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 + 2*z - z)*(3*z**2 + 324*z**3 - 150*z**3 - 124*z**3).\nAnswer: 50*z**4 + 153*z**3 + 9*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from krkkkrrkkkkkkk.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 77637947 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 + -5. Let l(x) = 0*x - n + 2*x + 2. What is the units digit of l(12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8\/(-2))\/(-1) + 1. Let i(m) = -8*m**4 + 10*m**2 - 8. Let z(v) = -4 - 1 - 2 - 7*v**4 - 22*v**2 + 31*v**2. Let f(k) = h*i(k) - 6*z(k). Factor f(x).\nAnswer: 2*(x - 1)**2*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136) + (-3*(sqrt(136)*1 - sqrt(136)) - sqrt(136)) + sqrt(136) + (sqrt(136) - sqrt(136)*-2 - sqrt(136))*-4)\/(-2*sqrt(8)*-2*-3)*3)**2.\nAnswer: 833\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ubbeeeubeeebe. Give prob of sequence bbe.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 253 = -16*w + 413. Solve q = t + 5, 0 = -2*t + 2*q + 3*q - w for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 119 (b) -0.2 (c) 2 (d) 1\/4 (e) -19 (f) 2\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5050931 to the power of 1\/2, to the nearest integer?\nAnswer: 2247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 + 7*l**2 - 7*l + 4. Let n = 29 + -25. Let b be (n\/(-3))\/(3\/18). Calculate f(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 30*l - 10. Let b be h(3). Suppose 131*n - 123*n - b = 0. Solve 10*q = 5*q - n for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13272.9 + 13274. Sort 1, 4, y, 2, -17 in ascending order.\nAnswer: -17, 1, y, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 4*j**2 + 22108*j - 88496 = 0.\nAnswer: -5531, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 94*o**3 - 1231 + 568 - 877 - 88*o**3 + 59 - 214*o**2 wrt o.\nAnswer: 18*o**2 - 428*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 161*c - 2. Let s(x) = 110*x + 3285. Let l(t) = 5*t + 146. Let z(i) = -45*l(i) + 2*s(i). Calculate m(z(g)).\nAnswer: -805*g - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 14046.\nAnswer: 42138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19728 is divided by 457.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*b + 1606 = -844. Let j = 0.37 - -0.03. What is the second biggest value in -5, j, b?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2162357?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**4 - 11*u**3 - 22*u**2 + 60*u + 72.\nAnswer: -(u - 2)*(u + 1)*(u + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3248, 14103, 32192, 57515, 90072, 129863?\nAnswer: 176888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 214200 and 90.\nAnswer: 214200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 4247?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 - 2)*(0 - 6 + 67*z + 4).\nAnswer: -268*z + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1173.002 - 1171. Let f = k - 2. What is f rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 621247531?\nAnswer: 43, 14447617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - 37191?\nAnswer: -3718c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of -t**4\/4 - t**3\/3 - 2*t + 14. Calculate the remainder when 6 is divided by n(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, 734, 0.5, -9, 3, 49, -2\/5?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 p when two letters picked without replacement from {p: 2, h: 4, c: 3}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133 = 41*j - 31. Solve -6 = j*s - 5*v, v + 3*v = -5*s - 28 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.8 + 3. Let o = 170 + -165. Which is the third smallest value? (a) 4 (b) o (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 21*q**2 + 16*q - 5. Let v(z) = -4*z**2 - 3*z + 1. Let m be (-1 - (-176)\/(-3)) + 1\/(-3). Let x = -62 - m. What is x*b(l) - 11*v(l)?\nAnswer: 2*l**2 + l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*q**3 - 122*q**2\/3 + 106*q\/3 - 8\/3.\nAnswer: 2*(q - 4)*(q - 1)*(12*q - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8.25392 - 0.25392. What is the third smallest value in i, 1.9, 2\/107?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1266, 41, -1154, -2313, -3430, -4499?\nAnswer: -5514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - -1. Let d = -1.2 + -1. Let j = 2.1 + d. Which is the closest to j? (a) 5 (b) 3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -5*h - 26. Let o be w(-8). Suppose -5 = 9*a - o*a. Let l be -1 + 0 + 2 + 1\/a. Calculate the highest common factor of 8 and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28896?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/4424 and 143\/33180.\nAnswer: 66360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -158 + 82 - 103*b**2 + 76 + 12*b**2.\nAnswer: -91*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x**2 - 7*x**2 - 7*x**2 + 4*x**2.\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -108697.02.\nAnswer: 543485.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z**3 + z**3 - 6*z**3)*((-4 + 2 + 1)*(3*z + 0*z - 4*z) + (4*z - 3*z + 0*z)*(5 + 6 - 133)) + 2*z**4 + z**4 - z**4.\nAnswer: 123*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + 5 + -1 + 3. Let p(s) = -s - 2. Let m be p(-6). Let r = m - k. Are 2\/15 and r non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 6 - 1 = -5*l, 5*k + l = -1. Suppose -5*r - 13 = -2*v, k = 2*v - 6*v + 5*r + 21. Solve v*q = 8 - 20 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*k - 3*k + 6. Suppose -2*f + 3*j - 5 = -17, 14 = k*f - 4*j. Differentiate 1 - z - 1 - 2 + f with respect to z.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 18. Let b = z - 5. What is the remainder when 37 is divided by b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 2 = 5*h, 3*k = 7*h + 118. Which is the nearest to 1? (a) 1 (b) -1\/6 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -61\/107 - -9215\/1712. Let j = 8 + -5. Calculate the common denominator of p and 2\/(600\/873) - j.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 + 11*t + 13. Let n be c(-9). Let a(f) = -3*f - 7. Let b = -34 - -36. Let l(g) = -2*g - 4. Let o(r) = b*a(r) - 5*l(r). What is o(n)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r**2 - r + r)*(1 + 1 - 1)*(0*r + 0*r - r).\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -580 + 580 + 136*f to the form o*f + w and give o.\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 4*s**2 + 5*s - 1330. Determine a(0).\nAnswer: -1330","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 1893*v + 6734. Is q(24) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 - 21*i - 13. Let n be u(23). Calculate the greatest common factor of 3 and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 - 7*w + 14. Let i be k(-7). Let x be 828\/(-28) + (-6)\/i. Let u = 66 + x. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153266 is divided by 51076.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 21*w**2 + 2*w + 4. Let c(m) = -10*m**2 - m - 3. Let g(x) = 5*c(x) + 2*q(x). Let t(n) = n**2 + 1. Give 4*g(b) + 28*t(b).\nAnswer: -4*b**2 - 4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 + 5*h**2 + 8*h - 6. Is z(6) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4103470029?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 5090, 5080, 5056, 5012, 4942, 4840, 4700, 4516?\n\"Answer: -n**3 - n**2 + 5092","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w**(-6)\/w)\/(w\/(w**(2\/29)*w*w*w*w*w)))**(8\/3))**33)**45 assuming w is positive.\nAnswer: w**(-336600\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 + 224*q. Let p(i) = -i**2. Give w(p(j)).\nAnswer: -j**4 - 224*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, 9, 0 in descending order.\nAnswer: 9, 4, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 171173213.\nAnswer: 1553, 110221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 7 - 1 = 0. Suppose 8 = -5*m + x*m. Let n = -1.086 + 0.086. What is the third smallest value in 5, m, n?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(272) + sqrt(1377) + (sqrt(1377) - -3*sqrt(1377))**2.\nAnswer: 13*sqrt(17) + 22034","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116 = 4*l - 112*v + 108*v, 4*l = -2*v + 92. Calculate the remainder when 117 is divided by l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3220936643?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6792 divided by 3396.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 1580 + 1102 = b, 2*f - 4*b = 5322. What are the prime factors of f?\nAnswer: 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1856 = 2*s - 4*o, 0 = 2*o - 1 - 3. Suppose 2*r = -2*r + s. Suppose 74 - r = -3*n. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 993*s**2 + 58561*s - 1521. Give w(-59).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0414 + 0.041394476. What is w rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17)\/204*(198\/4)\/(-11).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0086 take away 4?\nAnswer: -3.9914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1387851?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c**5\/2 - 1987*c**4\/2 + 664543*c**3\/2 - 49446209*c**2\/2 - 166020453*c + 428291064 = 0.\nAnswer: -2287, -8, 2, 153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 + 6*w - 4. Let r be p(6). Let f be (-4)\/(-4)*(-4 + 4). Sort f, -1, r.\nAnswer: r, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 46917582 and -2.\nAnswer: -93835164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 437079*v. Let j(u) = -u**2 - 36*u. What is q(j(k))?\nAnswer: -437079*k**2 - 15734844*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 361*z**3\/3 + 418*z**2\/3 - 544*z\/3 + 128\/3.\nAnswer: (z + 2)*(19*z - 8)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7711 + 7715. Let n(l) be the second derivative of 0*l**2 - 1\/168*l**7 + 0*l**v + 0*l**6 + 0*l**3 + 0 + 22*l + 1\/80*l**5. Factor n(i).\nAnswer: -i**3*(i - 1)*(i + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37301034 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of -y**5\/60 + 7*y**4\/8 + 2*y**3\/3 - 11*y**2. Let r be p(21). Suppose -292 + 104 = -r*z. What are the prime factors of z?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 42 + -7. Let l be 180\/990 + (-854)\/(-22). Let a = l - q. Solve a = 4*n + 20 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of 0*h + 0*h**3 - 3\/40*h**5 + 1\/420*h**7 - 14*h**2 - 5\/48*h**4 - 1\/80*h**6 - 1. Factor l(n).\nAnswer: n*(n - 5)*(n + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -2*r + 4*l + 428, l = 3*r - 617. List the prime factors of 1\/(r\/(-208) + 1).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27 - -57. Let k = -140 + 244. Let o = 179 - k. Calculate the highest common factor of o and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 248688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*k + q - 2, q = 0. Let h(w) = -w**3 + 5*w**2 + 2*w - 6. Let t be h(-5). What is the units digit of t\/12 + k\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 330 = 334. Solve m + p = -1, -p - w*p = m - 7 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n - 16 + 76 = 0. Suppose 0*p = 2*p - n. Suppose -p*k = 30 - 190. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of -t**5\/20 - 31*t**4\/12 - 47*t**3\/6 + 119*t**2\/2 + 122*t. Is p(-30) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of 3 + 15 - 7 + 2*b**2 - 3*b**2. What is d(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of 1\/120*n**6 + 0 + 0*n + 5*n**2 - 1\/3*n**3 + 7\/60*n**5 + 1\/6*n**4. Is a(-4) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -563*l**3 - 2*l**2 - 5. Let b(g) = -563*g**3 - 2*g**2 - 4. Give -5*b(r) + 4*m(r).\nAnswer: 563*r**3 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2*s**3 - 14*s**2 + s - 1. Let g be a(-7). Is 14 a factor of (-14*6\/8)\/(1\/g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 37.999 (b) 6\/23 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -356006*0.1\nAnswer: -35600.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*198.206.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-7)\/(-5) + (-33)\/120.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35116637 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1451445869 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -172*k**2*q - 103*k**2 wrt q.\nAnswer: -172*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 5*u - 438 = -138, 8 = 2*u. Find the common denominator of -23\/27 and (0 + 9\/(-12))\/(12\/c).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, j: 7, s: 4}. Give prob of picking 3 s.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/(-1) + -5)*-8. Let n = r - 8. Factor 2*l**2 + 2*l - 2 + n - 5*l - 5*l**2.\nAnswer: -3*(l - 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86358 - 86358 - 13574*k.\nAnswer: -13574*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*n**3 + 3*n + 2*n**3 - 3889 - 211*n**2 + 3887 as m*n + u + z*n**2 + s*n**3 and give z.\nAnswer: -211","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-15))\/((-15)\/(945\/14)*-3)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 4 - 5)*(2*d + 2 - 2) + (2*d - 4*d + 0*d)*(-2 + 3 + 0))*(461 - 461 - 549*d).\nAnswer: 3294*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 441 and 161.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28\/5 + 134\/15. Do n and 3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**5 - 416*o**4 + 1704*o**3 - 2576*o**2 + 1724*o - 432.\nAnswer: -4*(o - 1)**4*(o + 108)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**2 + 725393005*i - 725393010.\nAnswer: 5*(i - 1)*(i + 145078602)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 726 + -19 - (6 + 0). Suppose -2*s + o = -379. Does 45 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3 - ((-94)\/(-4) - -6) and 40\/15*24\/14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k - 26. Let y be u(-17). Let d be 9 - ((-715)\/(-117) - (-1)\/y). Solve -5*m + i - 7 - 5 = 0, 4*i + d = 3*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and (-1)\/(-10) - (-4186)\/140.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3316 (base 7) in base 2?\nAnswer: 10010100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -147, 16, -36, -1, 4 in descending order.\nAnswer: 16, 7, 4, -1, -36, -147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 6*o = -29. Let b = -85\/3 + o. Suppose -730*j - 30 = -727*j + 4*p, 6 = 3*j - 2*p. What is the closest to b in 8, 3, j?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 6*m**3 + m**2 - m - 1. Let k be v(-1). Let g be (k\/(20\/(-12)))\/(-1). Let u be -1*(177\/g + -1). What is the greatest common divisor of 15 and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -41.018 - -0.018. Suppose 0 = -102*k + 120*k - 72. Which is the closest to 2\/3? (a) g (b) 0.5 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 - 2078?\nAnswer: -2077.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n + 64 = 5*n. Solve -3*b = n*g + 22, b - 2*b = -3*g - 10 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2772 = 2*u - 2780, 3*w + 23 = 2*u for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 72126 and 342?\nAnswer: 1370394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 11 divided by -297924\nAnswer: -1\/27084","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1355517 divided by 23781.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of h**4\/12 - h**3\/6 - 9*h**2. Give y(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 89 - ((-10 - (-1 + 5)) + (-4 + 37 - 11))\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 + 15*k**2 - 15*k - 21. Is v(22) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 PM and 4:23 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b - 0?\nAnswer: b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08154133 rounded to three decimal places?\nAnswer: 0.082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -14673*g - 20*g**3 - 10*g**2 - 1 + 14676*g - 7*g**3 in the form q*g + f*g**2 + b*g**3 + t and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-320)\/(-20)*-8*(-11)\/88?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(-4)*1\/(-7)*-2. Which is the closest to -0.1? (a) x (b) -9 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 27*m**2 + 4*m + 3. Let s be b(-2). Let h = s + -62. Is h a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.036 + -430368732?\nAnswer: -430368732.036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkojoroooorkjoookkr. What is prob of picking 1 o, 1 k, and 1 r?\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f - 5 + 5)*(-2*f**2 + 0 + 0) + (6*f**2 - 5*f**2 + 7*f**2)*(-2*f - 2*f + f).\nAnswer: -20*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -11*x**2 - 9*x + 4. Calculate b(-3).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of 0*x**3 - 9*x**2 + 0*x**4 - 1\/60*x**5 + 0*x - 4. Let l(c) = 23*c. Calculate l(a(b)).\nAnswer: -23*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 387.7282 nanograms in kilograms?\nAnswer: 0.0000000003877282","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 5:03 AM?\nAnswer: 10:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -6*q + 15. Let w(i) = -7*i + 15. Calculate -5*v(f) + 4*w(f).\nAnswer: 2*f - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -107273 + 5?\nAnswer: -10726a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 + 1118*y + 23826. What is w(-21)?\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 520 divided by 3776\nAnswer: 65\/472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 - 6*y**2 - 8*y + 2. Let j be (-32)\/8 + (5 - (2 + 3)). Calculate f(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v**2 - 307*v + 5131. What is z(19)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 347820 to the nearest integer?\nAnswer: 590","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -184*m**2 - 84*m + 60*m**2 + 181*m - 90*m - 53*m**2.\nAnswer: -177*m**2 + 7*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77710*n - 79317*n + 19284 = 0 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - ((-48)\/4)\/4. Suppose x*g + 3 = 3*g. Let l = -1.5 - -1. Put l, 0, g in descending order.\nAnswer: 0, l, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121*k - 122*k = -170. Is k less than 173?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 1 - 508*m + 510*m - m**2 + m**3 - m**2. Let g be s(2). Solve 25 = 6*x - x - 5*k, -22 = -g*x + 2*k for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 + 7*j**2 - 4*j - 31. Let x be n(-7). What is the hundreds digit of 163 + (40\/16)\/(x\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6917 = 6*c + 6911 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10986181 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -739238182*k**2 + k - 914367940?\nAnswer: -1478476364*k + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -4*j - 51 - 3, 4*j = 5*d + 198. Let t = d - -51. Solve 7 + t = -4*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -58976 or -412826\/7?\nAnswer: -412826\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-1 + 3) - -2. Suppose -4*l - 2*j = -512002, 0 = -h*l + 2*j + 48553 + 463445. Round l to the nearest 10000.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 t, 1 h, and 1 d when four letters picked without replacement from {h: 1, t: 3, b: 6, p: 1, f: 3, d: 5}?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 707 - 707.377. Let c = 0.33 + k. Round c to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -3 + (-3 - -4) + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-702*w - 861*w + 1306*w - 994*w)*(-2*w + 4*w + 0*w) + w**2 + 2*w**2 + 0*w**2.\nAnswer: -2499*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -3080*n + 151360. Determine j(49).\nAnswer: 440","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22.2000615 - 22.2. Round q to 5 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 3740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 617*p + 619*p + 609*p - 2476*p + 621*p.\nAnswer: -10*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.6 plus -28311.5688917?\nAnswer: -28295.9688917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 49 - 83. Let d = h - -29. What is the nearest to -0.1 in 2, -1\/2, d?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1078683 is divided by 416.\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40 + 52*f**3 + 91*f**3 + 40.\nAnswer: 143*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8.453 + -0.047. Let o = i - -8.6. Let p = 0.34 - 1.34. Which is the second biggest value? (a) -2 (b) 0 (c) p (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((6\/9*3)\/(-1))\/5\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 + 3*g + 8. Let n be w(6). What is the units digit of -1 - n\/14 - 7812\/(-588)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 56 + -53. Suppose 0 = 5*j - 25, 2 = k*h + j - 9. Suppose -4*m + 3*c = -2*c + 233, -5*m = -h*c + 304. Is m not equal to -61?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.504 + 4.496. Which is the third biggest value? (a) -2\/3 (b) -1\/3 (c) v (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -266 + 374. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30 + 67 + -37 - (-1 - -20)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -100365.1872 to the nearest ten.\nAnswer: -100370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n + 1. Let a be q(14). Let t = 35 - a. Let f(z) = 6*z + 1. Does 15 divide f(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 AM and 6:22 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.01 + -0.41. Let m be (-4)\/6 + (-1108)\/(-168)*4. Let k = m + -26. Which is the third smallest value? (a) x (b) k (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 2\/13 (b) -0.8 (c) -3.73\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1490*o - 2991*o + 1498*o.\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*p - 6. Suppose -5 = p*u + 7. Let m be (-3 - -1) + (-1)\/u. Are m and -3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*y = -y - 196. Let s = -5 - -7. Suppose t - s = -0. Solve -y = -t*f - 4 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 869*n - 93. Let a be r(-2). What is a rounded to the nearest 100?\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6362413*c**2 - 16*c - 90151368?\nAnswer: 12724826*c - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-3)*f*f*f**5*f)**(-31) assuming f is positive.\nAnswer: f**(-155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5069 is divided by 491.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 2*d + 30937479. Suppose 5*x - 641408 + d = 0. Let m = x + 1274217. What is m rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -173 - -103. Let n = y + 189. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(2\/7))**(-1\/7)\/(d**(-7)*d**5))**45 assuming d is positive.\nAnswer: d**(4185\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that d**3 - 3537*d**2 - 7077*d - 3539 = 0.\nAnswer: -1, 3539","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -616452120 divided by 51371010?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 138\/9 + (-45)\/(-27). Suppose 0 = -3*p + g - 11. Solve -a + c = -4*c + 1, 2*c - p = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12647342\/198185 + -705\/3049. Let n = d - 321\/5. Let l be (0\/(9\/3))\/1. Is n greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2251, -2252, -2251, -2248, -2243?\n\"Answer: h**2 - 4*h - 2248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2635, 5200, 7767, 10336, 12907, 15480, 18055?\n\"Answer: w**2 + 2562*w + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 321247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31824 + 31840. Solve 0 = -3*m + 9, -v - 2*m = -18 + w for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -37657\/665 - 23\/133. Let x = h + 57. Let t be (-2 - -1)\/(1\/1). Which is the smallest value? (a) x (b) -3\/2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + 0. Let k = 24 + -12. Let n = 2 + k. What is the highest common factor of v and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - p + 17 = 2*w, -4*w - 16 = 0. Let f be (5 - 0) + -1 + 33 + p. Solve f*i - 10*i = -2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -851616, -3406420, -7664426, -13625634, -21290044, -30657656?\n\"Answer: -851601*u**2 - u - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 - 20*u**2 + 45*u + 24. Let t(y) = 5*y - 37. Let x be t(3). Suppose -2*h + 0*h + 2 = 0. Calculate the remainder when g(x) is divided by h.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11399458 is divided by 1878.\nAnswer: 1876","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 3*v = 9 + 117, 5*w + 108*v = 34*v - 3177 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of -c**5\/20 - c**4\/6 - c**3\/3 - 5*c**2 + 32*c. Let i be l(-3). Solve 3*o - 7 - i = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 431865 smaller than 23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j*j**(-9\/11)*j**(1\/16) assuming j is positive.\nAnswer: j**(219\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -149*b - 52. Is v(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 887 a factor of 1817204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = 5*j - 8*j. Let h be (-108)\/(-30) + -4 + j\/(-5). Let n(c) = -10 + 2*c**2 - 2*c - 3*c**2 + 9 + 7*c. What is n(h)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -69496822 or -69496831?\nAnswer: -69496831","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5834760.17 rounded to the nearest 1000?\nAnswer: 5835000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of -q**6\/720 - q**5\/240 + q**4\/24 - q**3\/6 - 2*q. Let t(c) be the second derivative of x(c). Suppose t(a) = 0. What is a?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*m - 18*m - 18*m + 59*m - 16*m.\nAnswer: -13*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 84716 at most 84715?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2309053146?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dycdzddcsz. What is prob of picking 1 z and 1 d?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2. Let u(m) = m**2 + 11. What is v(u(x))?\nAnswer: -x**4 - 22*x**2 - 121","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 23 and 11.\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 - 10*f**2 + 3*f - 11. Determine k(10).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**4\/5 - 8*z**3 + 124*z**2\/5 - 24*z.\nAnswer: 4*z*(z - 5)*(z - 3)*(z - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 - 7*m - 4. Let q be w(-7). Let i = -0.2 + -2.8. Let f = -1\/73 + -65\/584. Which is the biggest value? (a) i (b) f (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 4*u = 4. Let p(z) be the first derivative of z + 1\/2*z**u + 4. Differentiate p(n) with respect to n.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 6*m + 46 = -3*m, -l - 2*m = 56. Which is greater: l or -46?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-110)\/99)\/(44\/(-33))\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 23*s**2 - 3*s - 5. Let g be b(-1). Suppose o = -3*o + 252. What is the highest common divisor of g and o?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of -7*u**5\/5 - 2*u**3 + 7. Find the third derivative of l(r) wrt r.\nAnswer: -168*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 w when three letters picked without replacement from bbrxryoobxwrow?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -2*a - 482, 3*a + 722 = -0*a + 5*k. Let o = a - -256. What is the greatest common factor of o and 459?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1047 + 890 + 625 + 1128 - 697 - 2910*t wrt t?\nAnswer: -2910","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19 - -33. Suppose -4*q = -a + 2. Suppose -n = -q*n + 18. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 - 7*r - 1. Let b(j) = -j**3 + 7*j**2 + j - 9. Let l be b(7). Let n = l + -4. Is w(n) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/51 + 59220\/68 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**3 - 152*s**2 + 124*s + 888.\nAnswer: 4*(s - 37)*(s - 3)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 68\/(-8) - 6\/(-4). Does 17 divide 17\/(((-28)\/36)\/a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/26528 less than or equal to -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 665 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60 and 204?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 956910?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 54 + -61.3. Let f = r - -7. Let v = 384.6 + -384.7. Which is the closest to v? (a) 4\/3 (b) f (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, p: 1, l: 4, y: 2}. What is prob of sequence pmy?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86*c**2 + 117*c - 117*c.\nAnswer: 86*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r and 1 e when four letters picked without replacement from lerrulrrurrrlrue.\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1483 - -196.4483. Let r = 224 - k. Let l = -28 + r. Are l and -2\/5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 22\/(-99) + 38\/9. Let z = -6 - -57. Suppose z = x*p - p. What are the prime factors of p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00009148127 rounded to 6 dps?\nAnswer: -0.000091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 3*m + 37. Suppose -11*k - 12 = -10*k. Let j be u(k). Let q be 2\/(-6)*(j + 0)*-1. Which is smaller: -6 or q?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/2 + -30)\/(6\/(-15) + (-7)\/(-55))?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-63)\/(-49) + (-2)\/7)*-6. Let r(j) = j**2 - j - 40. Let n be r(s). Solve -2*o + n*m - 14 = 0, 0*o + 16 = -2*o + 3*m for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 1433?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/(-2))\/((-9)\/36). Suppose -b*i = -i - 95. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (3 + -2)*2\/6 + (-573760)\/10758.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (-1 - -10)) + (3 - 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3177468, -3177471, -3177476, -3177483, -3177492, -3177503?\n\"Answer: -j**2 - 3177467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 - 9. Let a(b) be the first derivative of -4\/3*b**3 - 5\/2*b**2 + w - b. Determine f so that a(f) = 0.\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/180)\/((15\/150)\/(60\/975)).\nAnswer: -2\/117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*t**3\/7 + 13939*t**2\/7 - 704071*t\/7 + 10201\/7 = 0.\nAnswer: 1\/69, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -28 at least 1926?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**2 + 4*p**2 + 0*p**2)*(0*p**3 - 2*p**3 - 3210*p + 3129*p - 2*p**2).\nAnswer: -4*p**5 - 4*p**4 - 162*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -6*g**2. Let y(r) = -174*r**2 + 3*r - 2. Calculate y(u(h)).\nAnswer: -6264*h**4 - 18*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 22\/5)\/(2\/(-5))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o = 6*o + 18. Let w(h) = -3*h**2 + 13*h + 12. Let z be w(5). Solve 2*u - o*v + z*v = -2, u - 3*v = -1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of -i**3\/6 - 3*i**2 - 43*i - 4. Let p be (9\/(-3) - -1)*-1. Let x be (-10)\/(-6)*(-6)\/p. Calculate a(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.17342 take away 265.49?\nAnswer: -265.31658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c + 8. Let m be u(2). Solve 0 = 2*x - m*x + 16 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -15 + 28 - 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffffff. What is prob of sequence fff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 9337 times -5\nAnswer: -46685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (49\/(-245)*(2*-19)\/(-2))\/(2\/(-10))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, 7, -1, 6, 248, -21 in decreasing order.\nAnswer: 248, 7, 6, 1, 0, -1, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + 4 - (-2 + 3). Suppose -k*p = -0*p. Which is the third smallest value? (a) 4 (b) p (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13)*-1*-2*-6.\nAnswer: -12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 0)*(-595*s**4 + 237*s**4 - 705*s**4).\nAnswer: -2126*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 6474, 6471, 6468, 6465, 6462, 6459?\n\"Answer: -3*p + 6477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - -215181?\nAnswer: 215184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -q - 14*q**2 - 23*q**3 + 0*q**3 + 2*q - 88*q**3 + 13*q**2 in the form z*q**3 + y + n*q + x*q**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j**4 + 2*j - 27 + 127 + 1163*j**2 + 1165*j**2 - 2340*j**2 to x*j**4 + t*j**2 + q*j**3 + s*j + f and give f.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -136, -259, -384, -511?\nAnswer: -640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - 0)\/(-4 + 3). Let g = x - 0. Let a = 60 + -60.2. What is the second biggest value in a, g, 0.5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 + 3*f**2 - 4*f + 4. Let t be i(-4). Suppose -t*r + 2*r + 32 = 0. What is the remainder when 46 is divided by r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5836309784?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 2*r + 11, 10 - 24 = 2*z + 4*r. Let c = z - 0. Does 19 divide (c\/(-3))\/(5\/285)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17270*p - 17537*p + 21093 for p.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -2*k**2 + 15824*k + 15826 = 0?\nAnswer: -1, 7913","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-455)\/70*350\/(-91)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4673693.02 rounded to the nearest 100000?\nAnswer: 4700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -171 - -174. Let b(p) = 3 - 124*p + 110*p - q. Let a(g) be the third derivative of g**5\/60 - g**2. Determine a(b(n)).\nAnswer: 196*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 326 + -276. Let r = c + -49.844. Round r to two decimal places.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 11\/4 of a week?\nAnswer: 27720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.41006*8\nAnswer: -3.28048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -104*f. Let u be 42\/(-8) + (-1)\/(-4). Let a be g(u). Suppose 5*b - a = -0*b. What is the highest common divisor of 13 and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, f: 7, z: 2}. What is prob of picking 1 l and 2 z?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 15078576.351 rounded to the nearest 100000?\nAnswer: 15100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v + 9. Let c(s) = s**2 - s - 47. Let w be c(7). Determine f(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l**2\/4 - 4460*l + 3978320 = 0 for l.\nAnswer: 1784","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77035611.\nAnswer: 3, 1013, 25349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of -2*r**7\/105 + 47*r**6\/40 + 1267*r**5\/60 - 387*r**2 - 4*r. Find the third derivative of c(i) wrt i.\nAnswer: -96*i + 846","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 9:10 AM?\nAnswer: 9:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 + 95*c - 374. Determine d(91).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(-1)*2\/(-3). Let l be 6*z\/4 - -5. Solve -l = -4*w - 2*j, 2*w + 2*j - 16 = 5*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1531 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: Is (-416)\/(-936) - (-7)\/(252\/2226152) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-11 + 1)*(-4 - 42\/875*-85). Let h = 0.66 - 0.7. What is the smallest value in -0.5, h, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, 20, -4, -31, -5, -3 in increasing order.\nAnswer: -31, -5, -4, -3, -1, 1, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -4. Let d = 75.15 - 75.55. What is the nearest to -37 in 0.4, d, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x - 6. Let k be m(6). Let q be (2\/(-4))\/(2\/96). Let d = -122\/5 - q. Is d at most as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 50?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -200021112011001 (base 3) to base 15\nAnswer: -cbd374","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*((-4)\/84)\/((-13)\/(-39)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-7)\/o)\/(o*o**(4\/3))*o**2\/o*o**7)\/((o**(2\/7))**(-43)*(o**1)**6) assuming o is positive.\nAnswer: o**(83\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*f = -12*f - 12. Suppose -f*s = -17490 - 11091. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v**3 + 3*v**2 + 27*v**4 - 3*v**2 - 2*v**2 - 2*v as d*v**4 + w + b*v**2 + u*v + t*v**3 and give d.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*s + 2*c - 1889 - 524 = 0, -3*s - 312 = -0*s - 3*c for s.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 337 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a microgram in nanograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41, -21, 11, 55, 111?\nAnswer: 179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 116*b*l - 19*b - l**2 + 3 wrt l.\nAnswer: 116*b - 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 102433032 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 + 6*j + 15. Let h be s(8). What is the units digit of (-1*h*1)\/(2\/192)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 + m. Suppose -2*y - 5 - 5 = 4*s, s + 15 = 2*y. Let w(o) = 2*o**3 + 6*o - 1. Determine y*a(q) - w(q).\nAnswer: 3*q**3 - q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 11, v: 5}. What is prob of sequence dvvv?\nAnswer: 11\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 23744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9.94 - 0.06. Let v = -8 - x. Which is the second biggest value? (a) 0.4 (b) 0 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -23*c**3 - 154*c**2 - 2627*c - 2386. Let i(o) = -48*o**3 - 306*o**2 - 5262*o - 4773. Let p(a) = 10*i(a) - 21*y(a). Let p(t) = 0. What is t?\nAnswer: -33, -24, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 5 = -0. Suppose 0 = 4*k - n - 27, k - 9 = -0*n - 2*n. Let x = v + k. Solve -a - x*h + 4 = 1, 0 = -4*a - 5*h + 6 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -205 + 122 + (16 - (0 + 11))?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 109541 to the nearest integer?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 215256353 to the nearest integer?\nAnswer: 599","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 - 6*s - 5. Let v(t) = t**3 + 7*t**2 + 4*t - 5. Let b be v(-6). Let p be k(b). Suppose -p*r = -5*r + 9. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 + 2. Let w(a) = -a**2 - 11*a - 27. Let k be w(-6). Determine j(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9900 and 198.\nAnswer: 9900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c**3*m**3*y + 44*c**3*m*y - 415*c**2*m**3 + 2*c**2*m**2*y + 6*c**2*m*y - c*y + m**3*y wrt m?\nAnswer: 12*c**3*y - 2490*c**2 + 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -16 and -16131.\nAnswer: 258096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -4*i - 5. Let v be (-2 - (-40)\/16)*24\/2. Calculate h(v).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 0 = 25. Suppose 0 = -0*m + m - i. Suppose -3*g = -3*c - 9, -2*c + m*g - 15 - 6 = 0. Solve -9 = -3*w, 0 = -d + c*d + 4*w - 11 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*d + 287 = 21*d + 7*d for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 3*l**2 - 6*l - 70. Let i be w(6). Calculate the greatest common divisor of i and 214.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 45\/4 of a microgram?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 76 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21076?\nAnswer: 2, 11, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a + 9. Let u be m(-1). Suppose u*b - 3013 = 1547. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 868 - 892 = 4*h, 3*h + 11 = j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4507 a factor of 728290710?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1842465998?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 553494 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-4)*x*x\/((x*x**2*x)\/x)*(x*x*x**3)\/(x**0\/x)*(x**(-2\/5)\/((x**8\/x*x*x)\/x))\/(x**0\/(x\/x**(4\/3))) assuming x is positive.\nAnswer: x**(-116\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.8 * -3.2.\nAnswer: -21.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 6*c - 13. Let q be s(3). Suppose -2*w + l + q = 0, -w + 19 = 3*w + l. Solve 20 = -w*j + 8*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -226 - -223. Let l(j) = j**2 - 5*j + 5. Let m be l(4). Let f be 2 - (-4)\/t - m. Which is the biggest value? (a) f (b) -5 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 5*t - 10 = 0, -2*t = -0*t for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (4 + -4 - -2) - -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -3*s - 87, -3*s - 124 = -4*i - 7*s. Suppose -4*j + 316 = -272. What is the remainder when j is divided by i?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -55104, -3.\nAnswer: -55104, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 4*g - 15 = 0, -3*g - 64 = d - 48 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - (56\/8)\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (789 + -24)*(-4)\/36.\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -28 + 1 + -3 + 0 + -57\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 483593, 967193, 1450791, 1934387?\nAnswer: 2417981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5 and 62060.\nAnswer: 62055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2232117643*h**2 - 2232117663*h**2 + 4464235291*h**2.\nAnswer: -15*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 488325.5 centimeters?\nAnswer: 4883255000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -3. Let t = 54\/7 - 190\/21. Which is the nearest to -0.1? (a) 2\/5 (b) n (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 271857 to the nearest integer?\nAnswer: 521","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*h**2 - 2*h**2 + 3*h**2)*(0*h - h - h) + 7*h**3 - 14*h**3 + 76*h**3 to the form s*h**2 + v*h**3 + y + x*h and give v.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 10 = -r + 9*a, 2*a + 3 = -r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 15, -20, -4, -1 in descending order.\nAnswer: 15, 3, -1, -4, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 12 = -22. Suppose 3*y - 5*n = 2*y + 81, 4*y = t*n + 270. Is y a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6457 - -6452. Let y = -0.5 - -1. Which is the nearest to 0? (a) y (b) d (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 580, 581, 582, 583, 584, 585?\n\"Answer: x + 579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = x - 89, 2*x - 181 = -2*d + d. Suppose -2 = 9*k - x. Solve k*l = 11*l + 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -644*g**4*s**2 - 3*g**4 + 284*g**2*s**2 + 3*g*s**2 wrt g.\nAnswer: -15456*g*s**2 - 72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1860 (base 13) to base 5\nAnswer: -104002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 2492000 = 4*r, r = 5*r - b + 2492000. What is r rounded to the nearest 10000?\nAnswer: -620000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 + 18. Let i be l(0). Suppose -10 + 28 = -3*q. Let d = i + q. Calculate the least common multiple of d and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 7*d. What is the units digit of f(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**3 + 20770*h**2 - 21465420*h - 216736200.\nAnswer: -5*(h - 2082)**2*(h + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 589.\nAnswer: 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from czzzczc. What is prob of sequence czzz?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6633.142 - -6624. Round s to one dp.\nAnswer: -9.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60906.98um in meters?\nAnswer: 0.06090698","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 84.764 meters in centimeters?\nAnswer: 8476.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 632 and 1148?\nAnswer: 181384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 3.1?\nAnswer: -9.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 417296?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2, -723, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (20 - 15) - (2 - -3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -33, -18, -2, 42, 28, 1, 0 in descending order.\nAnswer: 42, 28, 1, 0, -2, -18, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 16) to base 4.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -24778 (base 13) in base 16?\nAnswer: -10678","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5076?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 33546130061 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-426)\/994 - (-8)\/14?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1059 is divided by 525?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 195817, 391490, 587163, 782836, 978509?\n\"Answer: 195673*j + 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 3) to base 15\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*f**3*u + 17869*f**3 - 7*f**2*u + f*u + 14*f + 731*u with respect to u.\nAnswer: -3*f**3 - 7*f**2 + f + 731","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12550 - -1306. Suppose -2*j = -4*k - j + 27726, 2*k = -3*j + u. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-105)\/(-33) + 4\/(-22). Let z(o) = -o**2 + 5*o - 3. Let i be z(q). Suppose 0 = 3*v - 30 + i. Calculate the least common multiple of 10 and v.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4 + 94\/1)*4\/6. Suppose -22*q + j = -19*q. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrr when three letters picked without replacement from bbrrbbbrbbbbbbbbs?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 - 7*n**2 + 13*n - 3. Determine c(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -435.7 + 438.92. Which is the smallest value? (a) d (b) 1\/3 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 PM and 1:19 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of 7*b**4\/24 + 8*b**3 + 2*b**2 + 2*b - 86. What is c(-7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -244269\nAnswer: 2\/244269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-41 + 173 + 121)*(1 - 2 + 0)*(0 + v + 0) as h*v + i and give h.\nAnswer: -253","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-3 + (sqrt(539) + 4 + sqrt(539) - sqrt(539)))*6*-1*1)**2.\nAnswer: 756*sqrt(11) + 19485","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 7, w: 5}. What is prob of sequence bb?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 AM and 1:34 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*h + 32*h = -21*h - 4752. What is the highest common divisor of 120 and h?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24988?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -5898, -5890, -5882?\n\"Answer: 8*n - 5906","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.5 and -8624039?\nAnswer: 8624038.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2, 5, 1.8?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 188128 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of -115\/2*w**2 - 53*w - 1 + 88\/3*w**3. Differentiate n(z) with respect to z.\nAnswer: 176","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(363) + 0)**2*2*1.\nAnswer: 726","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that q**2\/2 - 8*q + 32 = 0.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 46*w**2 + 80*w - 55. List the prime factors of i(-11).\nAnswer: 11, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 + 3*x**2 + 3*x + 3. Let r(p) = 3*p**3 - 8*p**2 - 8*p - 8. Let n(v) = 2*v**2 - 7*v - 12. Let h be n(5). What is h*r(k) + 8*f(k)?\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5530270579 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2497\/(-330) - -7) + (-4)\/(-6). What is the closest to 1 in 2\/5, g, 0.2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.041 + -34.959. Let y = v + 47. Which is greater: y or 0.2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/3*(-1 - -16). Let z be (8\/6)\/(24\/180). Calculate the highest common factor of z and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/6*4 - 1. Let a be ((-3)\/(-3))\/(l\/3). Suppose -4*d - a = -7*d. Solve -i - h + d = 4, -4*i + h - 7 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*t + 13882 = 14282 for t.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -3*n**3 - 8*n**2 + 2*n - 5. Let b be l(-4). Suppose -b + 17 = -17*a. Solve a*u + 3*u + 29 = 4*i, u = -5*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 259480319 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5358 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1115638 and 61462.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = 3*l - 13 + 2, 5*l = -3*g + 11 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + 1. List the prime factors of z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 230480 and 380.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1051 divide 53578902?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 9.66 (b) -0.3 (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -6*a - 53. What is m(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 983 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/(-3))\/(2\/2). Suppose 28 = 133*g - 140*g. Let s = 14 + -13.8. Which is the closest to y? (a) g (b) s (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - q - 90 + 2583 = 0, -u + 642 = 4*q. What is the hundreds digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 990*k*q**2*r**3 + 2*k*q**2*r + k*q - 2*k*r**2 - 3*q**3*r - 295*q - 3*r**3 wrt q.\nAnswer: 1980*k*r**3 + 4*k*r - 18*q*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 70323311 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -63 * -12.\nAnswer: 756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 609 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -166 (base 7) to base 2\nAnswer: -1100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4581, 4570, 4551, 4524?\nAnswer: 4489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 + (-15 + 6 - 2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 246 from -81.\nAnswer: -327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 1080 = -32*v. What is the highest common factor of 864 and v?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4504 - 4503. What is the second smallest value in k, -5, 0.3, 407?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167940011 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 130, 245, 428, 673, 974, 1325, 1720?\nAnswer: 2153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 824 + -580. Let x be 6\/(-36) + n\/24. Solve 0*j = -3*p + 4*j - 22, -x = -5*p - 5*j for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -329 and 1332.04286988?\nAnswer: 1661.04286988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.1 + 61.9. Let l = -67.27915 + 0.27915. Let x = j + l. Which is smaller: 6\/13 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1112 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: How many millilitres are there in 27\/2 of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 20*y = -108, -29 = 4*s - y - 4*y + 4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) 1\/5 (c) -454 (d) 2\/5 (e) -8 (f) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -3*w - 5. Let b = 1 + -5. Let t(h) = -6*h - 9. Calculate b*t(s) + 7*u(s).\nAnswer: 3*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k - 353691 - k + 4*k.\nAnswer: k - 353691","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26\/5 + 161\/30. What is the closest to -1 in g, -1\/4, 4, 2\/11?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -112.8 (b) -0.2 (c) 5 (d) -163 (e) 2 (f) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -179 = -13*v - 36. What is the second derivative of -v*n**2 + n**4 + 17*n - 115 + 115 + 93*n wrt n?\nAnswer: 12*n**2 - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xe when two letters picked without replacement from ehcax?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = 0, -10*w - 17 = 2*b - 4*b + 23 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + (-2 - 70) + 3. Is (x\/(-15) + 1)*54 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -2 + (-27 - -15 - 12) + 10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-115*u + 834*u + 6434*u + 6*u)*(u - 4*u + 6*u)*(-4*u - 3*u + 5*u) in the form b + d*u**3 + f*u**2 + s*u and give d.\nAnswer: -42954","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11*l + 8 - 3*l - 11 wrt l?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1826 + -1185. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-7)\/(y**(2\/17)\/y)*(y\/y**7*y)\/(y*y**6) assuming y is positive.\nAnswer: y**(-308\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from fggfg.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1900) + -1)**2 - (sqrt(19) - (sqrt(152)\/(sqrt(40)\/sqrt(5)) - sqrt(19))).\nAnswer: -21*sqrt(19) + 1901","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 614, 1057, 1830, 2933, 4366, 6129?\n\"Answer: 165*u**2 - 52*u + 501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1983103389?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 57365875 divided by 11473175?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18942 = 2*v + 4*s, 38*v - 34*v + 4*s = 37860. Is v a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 + 17. Suppose -24*w - 12 - 12 = 0. Put b, w, -4, -5 in descending order.\nAnswer: b, w, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 81 and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**(-7)\/k)*k\/k**(-3))\/(k\/(k*k**(2\/3)\/k*k*k)*k**7)*(k*k**0\/k*k)\/k*k**6*k**(1\/3)*k**(5\/3) assuming k is positive.\nAnswer: k**(47\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0013458 rounded to five decimal places?\nAnswer: -0.00135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2946, 5, 32, 1, -5 in ascending order.\nAnswer: -2946, -5, 1, 5, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m - 6. Let n be x(6). Suppose n*u - 3*u = -12. Suppose 20 = 5*b, s = 8*b - u*b. Calculate the remainder when s is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97*x - 91*x + 186*x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(s\/(s\/(s\/(s**(-10)*s)))*s)*s**(-5\/7))\/(s**9\/s**0) assuming s is positive.\nAnswer: s**(-131\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 4*l - 253, -2*w = -2*l + 31 + 109. What is the first derivative of -26 - 84*o + l + 90 - 21 wrt o?\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -5, 4.62, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of -f**5\/3 + 5*f**3\/6 - 13*f**2. Factor l(c).\nAnswer: -5*(2*c - 1)*(2*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000041303413 rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1349 - 616. List the prime factors of l.\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*q**5 - 332185*q**4 + 8977759*q wrt q.\nAnswer: -60*q**3 - 3986220*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 5*i = 665, -11*d + 8*d - 2*i + 404 = 0. Calculate the greatest common factor of 115 and d.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (20 - (6 + -12))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38, -83, -128?\nAnswer: -173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5, -0.4, 2\/7, 0.08?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 281 - 202. Solve -76*f = -d*f - 9 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2015 and 325.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 589094912 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 445*u**3 + 2*u**2 + 2*u + 2. Let z(n) = 228732*n**3 + 1029*n**2 + 1029*n + 1029. What is -2058*m(o) + 4*z(o)?\nAnswer: -882*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27371720 by -2.\nAnswer: -13685860","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(6 + (-30136)\/5024). Let i = 5733 - k. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 3*h + 36 = 0. Suppose 3*v - 4*c - 68 + 18 = 0, 0 = -v - c + 26. Suppose v*q = 18*q + 8. Calculate the highest common factor of h and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14600 - 14494. Suppose 2 = -2*p, -154 = -4*n + p - 45. What is the remainder when r is divided by n?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 + 6 - 20)*(-2*o + 0 + 0).\nAnswer: 68*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of 14\/3*c**3 + c + 13 - 1\/2*c**2. Let x(l) = -l**3 - 8*l**2 + 7*l - 17. Let a be x(-9). What is g(a)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25762707*y**4 + 4*y**2 + 88*y + 992038 wrt y?\nAnswer: -309152484*y**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9651?\nAnswer: 3, 3217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-258)\/172 - 2\/(4\/17).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.09, -5, -2\/15, 2\/13, -36.9, -14?\nAnswer: -36.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4790*h + 4779*h + 4793*h + 4786*h - 19145*h.\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 10 + 3 + 3*l**2.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 4*a - 2 + 0 = 0, -a = -4*y + 23. Solve 3*j - j - y = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.017 or 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 10. Let h be (-6)\/(-3) + (498\/(-996))\/(-1 - (-18)\/14). What is the third biggest value in h, -2.5, o?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of g**3\/3 + 5*g**2\/2 + 7. Let j be r(-5). What is the biggest value in j, -0.2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-50560)\/10270)\/(4\/78)\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 3*z - 2*z = -17, -z + 31 = 5*s. Suppose -2*y = -y - s. Solve 0 = -q + 2*c + y, -3*c = -5*q - 2*c + 12 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m and 1 x when four letters picked without replacement from cmcmccxccxcccmcccc?\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(2\/7)*h)\/h)**(-21))**(-20)\/(h**(-1\/3)\/(h\/(h\/h**(1\/3)))*(h\/(h\/h**(-1)))\/(h**(-6)*h)) assuming h is positive.\nAnswer: h**(350\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 434 and 1843384.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 272047?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -1\/280748 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 176\/(-616)*(-2093)\/(-46)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 285333 is divided by 95110?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 210022212001 (base 3) to base 16.\nAnswer: 667d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 143\/(-6) + (-4)\/24. Let b be (a\/(-15))\/(4\/10). Which is bigger: 5 or b?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98)*3 + 1)**2 + -5 + (sqrt(98) + sqrt(98) + -1)*3 + (sqrt(98)*-1)**2*-2.\nAnswer: 84*sqrt(2) + 679","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000138167465 to 7 dps.\nAnswer: 0.0001382","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of 3*y**5\/5 + 20*y**3\/3 - 4. Find the third derivative of q(n) wrt n.\nAnswer: 72*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 27 = 2. Suppose -j*q - 4*p + 2130 = p, -3*p + 6 = 0. Suppose -3*o + 3*b + 0*b = -1242, -o = b - q. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a + 5 + 19 = 0. Let c be 2\/(-7) - (51\/(-7) - a). Suppose -2*k + 5*g = -23, 3*g + 20 = 2*k - g. Solve -2*t = k*d + c, 0 = -2*t - d + 2 - 3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 117828116 from -3.248424.\nAnswer: -117828119.248424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 110395 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-1\/8)*i*i**16 assuming i is positive.\nAnswer: i**(135\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22775444 and 209958.\nAnswer: 478284324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 476643441?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z - 2. Let v be k(7). Let a be 3\/((-4)\/(v\/3)). Let d be -1*3 + 1 - -5. Sort d, a, -4 in increasing order.\nAnswer: -4, d, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of -7*t**4\/4 + 4*t**3\/3 - 31*t**2\/2 + 7443. Let c(i) = 6*i**3 - 3*i**2 + 31*i. Calculate -4*c(b) - 3*u(b).\nAnswer: -3*b**3 - 31*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 316*s - 2698. What is u(8)?\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30.081 + -30. Let y = h - -3.219. Let k = -11 + y. What is k rounded to 0 decimal places?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 6016774.\nAnswer: 3\/6016774","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 0.2, -674 in descending order.\nAnswer: 0.2, -2\/9, -674","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 45736, -5 in ascending order.\nAnswer: -5, 5, 45736","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15786 (base 11) to base 9.\nAnswer: 33447","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 222905370?\nAnswer: 2, 3, 5, 7430179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -193287 + 193287 + 2*t + 2*t.\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35, 9, -49, -151, -309, -535?\nAnswer: -841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 983?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 10}. What is prob of picking 3 f?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - l - 2*k = 4, -2*l = k - 7. Suppose 5*g + 27 = -2*r, -2 = l*g - 0*g. Let z(o) = -2*o**2 + 5*o + 1. Let d be z(4). Are r and d equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d**2 + 5 - 26*d + 561*d**3 + 554*d**3 - 1678*d**3 + 562*d**3 to f*d**3 + q + r*d + a*d**2 and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 621077 bigger than 621075?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3361*f + 1695*f + 1668*f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -103 - -23102003?\nAnswer: 23101300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*i = -14*i - 119*i + 288 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -91, 2, 825, 1 in ascending order.\nAnswer: -91, 1, 2, 825","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tiit when four letters picked without replacement from {f: 2, d: 2, t: 4, i: 3}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 - 901*n. Let l(y) = y - 410. Let o(v) = -205. Let f(s) = l(s) - 2*o(s). Calculate f(k(b)).\nAnswer: b**2 - 901*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 64838?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 5)*(1 - 2 + 2)*(-4*x + 5*x - 2*x).\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3143490?\nAnswer: 2, 3, 5, 7, 14969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.596 + -0.5. Let w = u - 0.09718. What is w rounded to 4 dps?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 4418701\nAnswer: -5\/4418701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -5*x - 4*g + 14, -5*x = -5*g - 5. Suppose 5*m - 2*i - 17 = 0, m + 1 = -x*i + 2. Solve -18 = m*c - 3 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 548 a multiple of 137?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*a - 7*a - 13*a + 42*a + 2*a - 12*a.\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 167627.6 to the nearest one thousand.\nAnswer: 168000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p**2 + 4*p**2 - 3*p**2 + (0*p + 2*p - 4*p)*(p - 5*p + 3*p) - 2*p**2 + p - p)*(-2 + p + 2).\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8007837 to the nearest integer?\nAnswer: 2830","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 708602 is divided by 141720.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c**4 + 58*c**3 - 165*c**2 - 4*c + 220 = 0. Calculate c.\nAnswer: -1, 2, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2. Let z(w) = -2*w**3 - 6*w**2 - 2*w - 1. Let y be (-2)\/(-2 - 0) - 0. Give y*z(v) - 6*u(v).\nAnswer: -2*v**3 - 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -31 - (27 - (10 + -14 - -29))\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11613030?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/79 or 0.11?\nAnswer: -6\/79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 848626.2 to the nearest ten thousand.\nAnswer: 850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f**5 + 24*f**4 - 45*f**3 - 60*f**2 + 228*f - 144 = 0 for f.\nAnswer: -2, 1, 2, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + 52 + 56 + -3 + 4 + -3?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 18551512 and 30387.\nAnswer: 18581899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 18 = 4*d, 4*i + 1 = -0*i + d. Let u be (-10)\/(-14) + (-4)\/(-14). Are u and i equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5226 and 9438?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 28*x**2 - 3*x + 29*x**2 + 29 - 74*x**2 + 15*x**2 in the form l*x**2 + m + r*x and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 - 5*m**2 - 4*m - 1. Let f be -3*(-12 - -1) - 3. Let a(b) = 8*b + 90. Let x be a(-11). Suppose 3*j - f = -x*j. Calculate v(j).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1488, -1485, -1482, -1479, -1476?\nAnswer: -1473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 67, 165, 317, 517, 759, 1037, 1345?\n\"Answer: -s**3 + 33*s**2 + 6*s + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -138*s**4 - 2*s**3 + 5*s**2 - 603*s.\nAnswer: -1656*s**2 - 12*s + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 53*i**2 - 1. Let t be s(-1). Let b = 57605 - 57554. Solve -t*g = -b*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 9*y - 7*y - 20 as l*y + m and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -143 - -150. Let o(r) = r**3 - 5*r**2 - 12*r - 6. What is the remainder when 12 is divided by o(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 152554688\nAnswer: -457664064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 89.538642 * 1.\nAnswer: 89.538642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 5:26 AM?\nAnswer: 12:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - -3. Let j = -22 + z. Let y = 12.00000224 + j. What is y rounded to 7 dps?\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(0 + 4*(-5 + -1 + sqrt(539) + sqrt(539) + (sqrt(539) - (sqrt(539) - (sqrt(539) + 2*sqrt(539)))) + sqrt(539) + 5)) + -3)**2.\nAnswer: -42336*sqrt(11) + 11177145","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = 2*f + 51, -26557 = 2*g + 5*f - 26523 for g.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -27669455?\nAnswer: 11067782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 9934558, 9934552, 9934542, 9934528, 9934510, 9934488?\n\"Answer: -2*v**2 + 9934560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Is ((-8)\/(-52) + -4*25\/(-195))*38397 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 + 7*a + 9. Suppose -3*y = y - 32. What is n(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 0)*(-12)\/((-720)\/(-50))?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 - z + 1. Let w(j) = -3*j**2 + 4*j - 3. Let q = -1314 + 1310. What is q*i(g) - w(g)?\nAnswer: 7*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 14, p: 1, g: 2, i: 2, j: 1}. Give prob of picking 1 i and 1 z.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 + 4*c**2 - 7*c - 5. Let o be x(-5). Let j = o + -4. Solve 0 = -p - 0*p + j for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4578.99990908 - -4579. What is y rounded to five decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 + 45*c**2 + 38*c - 3808. Give a(-42).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 6 + 15 = 3*q, -4*b - q + 73 = 0. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lzcjl. Give prob of picking 1 l and 1 c.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together 35341475608842 and -8.\nAnswer: 35341475608834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k - 2. Calculate the remainder when 126 is divided by w(50).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -430311 - 144?\nAnswer: -431010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of -5*j + 0*j**3 + 0 - j**2 - 4\/5*j**5 + 0*j**4. What is the first derivative of p(k) wrt k?\nAnswer: -48*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l - 1. Let m(x) = -2*x + 2. Let q(w) = -13*k(w) - 6*m(w). Let n be q(1). Are n and 1\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 8 (b) -1 (c) -1272 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y, 1 l, and 1 j when four letters picked without replacement from {l: 3, j: 1, y: 3}?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 266ac7 + -2?\nAnswer: 266ac5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 16) to base 11\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29 - 34. Let c(p) = 2*p - 7. Let k(i) = 2*i - 6. Calculate n*c(j) + 6*k(j).\nAnswer: 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -44.9 in -1\/7, -3.61, 3?\nAnswer: -3.61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -118*j**2 + 3*j**3 - 3*j**3 - 19*j + 3*j**3 + 122*j**2 to k*j**2 + t*j + v*j**3 + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 - 1)*30\/(-10). Let a(c) = 0*c - 1081 - 1077 + 2155 - 2*c + c**3. Let z(f) = -f**3 + 2*f + 4. Calculate w*a(g) - 2*z(g).\nAnswer: -g**3 + 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 65 = 9*q. What are the prime factors of q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/6 in 0.1, -4, -2\/3, 12\/1025, -0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-17)\/(-51) + 2 + (-10)\/(-6). What is the first derivative of 152*d + 121*d - h - 256*d wrt d?\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26 - 19. Calculate the highest common factor of j and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2249 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 18\/(-882)*21 + (-1350)\/(-14). Calculate the highest common divisor of 2976 and d.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 609109*j*n**3 - 2*j*n**2 + 181548136*j*n + 61*n**2 wrt n?\nAnswer: 3654654*j*n - 4*j + 122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -14*f + 274. Calculate the smallest common multiple of a(19) and 510.\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, c: 1, m: 1, s: 2, t: 1, e: 1}. Give prob of sequence tmcu.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wsswswwswswsssgww. Give prob of sequence ww.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*b**2 - 21*b**3 + 2*b - 1 - 2*b + 22*b**3 as v*b + k*b**3 + d + o*b**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97*a**2 - 27*a**2 - 34*a**2 - 34*a**2.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add 58.5033898 and -62231.\nAnswer: -62172.4966102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one fifth of a millennium?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + -15. Let q be (642\/(-33) + 0)\/u. Let a = -2\/55 - q. Which is greater: a or -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) -5 (c) 0.1 (d) 432 (e) 39 (f) 47\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (2*1\/(-85))\/(1872\/(-120) + 15)\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pfpffobfffofff. What is prob of sequence pbp?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 182 - 178. Suppose a + 0 = x. Solve 0 = 3*k - a*h + 3, -k + 4 = -4*h + 13 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 2. Let f = -0.0944 - 583.9056. Let u = 585 + f. Which is the fourth smallest value? (a) h (b) u (c) -3\/5 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of z**7\/180 + z**6\/360 + z**5\/120 + z**4\/3 + 2*z. Let w(i) be the third derivative of t(i). Give w(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -6*q - 1. Let y(j) = -18*j - 3. Give 7*a(c) - 2*y(c).\nAnswer: -6*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -583 + 2217\/4. Let x = -29 - p. Suppose 3*h - 4*n = -13, -5*h = -n + 16 - 0. What is the third biggest value in x, h, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/3 and 65\/554.\nAnswer: 1662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39 is divided by 234 + -216 - 3*(-1 - 0)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -4, 2, 5, -0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 AM and 3:48 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - r = 0. Suppose r*h + 45 = 5*h. What is the greatest common divisor of h and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -42*c + 40*c + 3*h, -5*h - 72 = 3*c + 11*h for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 23034 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/39 - 4592\/(-104). Calculate the highest common factor of 275 and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28.3086 - 0.0086. What is u rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 23 - 33. Let b(u) be the second derivative of 3*u**4\/4 + 5*u**3\/6 - 7*u**2\/2 - 7*u. Let l(v) = 4*v**2 + 2*v - 3. Determine p*l(f) - 6*b(f).\nAnswer: 2*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 + 7*i + 2. Let s be r(5). Let m = s + -7. Let h(g) = -g**2 + 5*g. Let l be h(0). What is the nearest to l in 2, m, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6 + (-8 - (-10 + 5)). Suppose 2142 = 2*u - 2*z, -m*u + z = -1335 - 1880. Is u a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2 + -0.1. Let f = 56.1 - 56. Which is the nearest to f? (a) 0.4 (b) 2\/9 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 904389 at least 904391?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1294 = -2299*n + 2946*n. Solve -17\/3*i + 8\/3*i**n + 10\/3 - 1\/3*i**3 = 0.\nAnswer: 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12889 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2 + 3 + 4*b**2 + 0 + b**3 - 5. Let n(s) = -3*s**3 - 9*s**2 + 9. Determine 4*n(m) + 9*w(m).\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of -k**7\/30 + k**5\/30 + k**2 - 9*k. Let j(d) be the first derivative of z(d). What is the third derivative of j(s) wrt s?\nAnswer: -168*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 5*m**4\/4 + 237405*m**3\/4 + 1874052255*m**2\/2 + 4881987834175*m - 584114819227290 = 0.\nAnswer: -15866, 117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*v = 180*v + 7757 + 12327 - 6644 for v.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/126*(-9)\/3.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8236 - -8242.958. Let n = -0.17 + 7.07. Let c = n - j. Round c to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 + -12. Suppose 9 + 6 = -w*b. Let c(s) = -s + 3. Determine c(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 7*j**3 - j**2 - 8*j - 2. Suppose -16 = 5*c - 1. Let p(b) = -4*b**3 + 4*b + 1. Suppose 0 = 5*t - 4*t + 5. Let x(l) = c*v(l) + t*p(l). Give x(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - 0)\/((-1)\/(-6)). Let u(r) = 7*r - 1. Let v(m) = -1 + 0 + 44*m - 31*m - 1. Calculate s*v(a) - 11*u(a).\nAnswer: a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 23059543?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 162434?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 75\/314 and 31\/652066.\nAnswer: 102374362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 5*z - 12 = -43, 4*l + 2*z = 32 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -29 - -58. Let l = -44 + q. Which is the third smallest value? (a) -2\/9 (b) l (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -265.9088759 to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 5 = 2*i, 0 = -i - 4*b + 14 + 6. Solve -p - 3*p - 2*j - 2 = 0, i = 5*p - 3*j + 30 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23 - 51. Let m = -85\/3 - r. What is the nearest to m in -4, 0.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00314553 to 4 dps.\nAnswer: 0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15398 + -15398. Solve 46*o + 115 - 437 = n for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 a when two letters picked without replacement from {j: 1, a: 2, w: 2, y: 5, q: 2, k: 2}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 58, 506, 1298, 2434, 3914?\nAnswer: 5738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of -s**7\/1050 + s**6\/600 + s**5\/75 - s**4\/30 + 731*s**2. Find t, given that d(t) = 0.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24767 is divided by 55.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*v - 16*v = -750. Let d be (-16)\/(-40)*v\/15. Which is smaller: -3 or d?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -554 + 971. Suppose -x + g = 92. Is x a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 + m - 2. Let f be k(2). Let l(j) = -2*j + f*j - 3*j. Let g(n) = 9 - 4*n + 13 - 22. Calculate l(g(q)).\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) -1.05 (c) -39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 0 (b) -2\/9 (c) -0.07 (d) -38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - -1. Calculate the smallest common multiple of 8 and m.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71628507?\nAnswer: 3, 31, 139, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-2\/7))**47 assuming n is positive.\nAnswer: n**(423\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 divided by 762079?\nAnswer: 238\/762079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -4*s + 12, 4*v - 1 = 2*s - 7. Let u = 22 + -19. Suppose 4*c - 5*c + 4*b + 171 = v, u*c + 5*b - 479 = 0. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 12 - -13?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5701281*c**3*r**3 + 83258165*c**3*r - 6*r**3 wrt r?\nAnswer: 34207686*c**3*r - 36*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 585674 to the nearest integer?\nAnswer: 765","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9 - (-9)\/(36\/(-16)). Solve -5*j + t = -3*d - 10, 3*j - 9 = -d for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1211\/540 + 1\/135. Let o(r) be the first derivative of -m*r**4 - 4*r**2 - 5 + 0*r**3 + 0*r. What is the second derivative of o(t) wrt t?\nAnswer: -54*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**1*(x\/(x\/(x*((x\/x**(-1\/2))\/x)\/x*x*x)))\/x assuming x is positive.\nAnswer: x**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 2:20 PM?\nAnswer: 11:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-29)\/s*s\/(s\/s**(-2\/31)))**(5\/2) assuming s is positive.\nAnswer: s**(-2330\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2 = -10. What is the second derivative of q**5 + 0*q**5 - u*q + 6*q wrt q?\nAnswer: 20*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i - 1. Let a be q(-5). Solve s + 1 = -a for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-25)\/10*7\/70?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 314*n - 148*n - 33 - n**2 - 154*n. Let d be v(6). Solve -d*f - 2*f + 18 = 3*y, -f + 2*y = -1 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -4*k + 1. Let h(c) be the third derivative of -c**4\/8 - 17*c**3\/2 + 37*c**2. Let t be h(-18). Let j(l) = l. Give t*j(q) + o(q).\nAnswer: -q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -7406 divided by 14\nAnswer: -529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 4*n = 36 - 14, -2*q - 5*n = 8. Let o(z) be the first derivative of -z**2\/2 - 35. Let s be o(q). Let f(u) = u**3 + 5*u**2 - 4*u + 8. What is f(s)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16511 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of -f**4\/4 + 11*f**3\/3 + 16*f**2 - 57*f - 89. Let s be t(13). What is the greatest common factor of 329 and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -5*y. Let j = y + 3. Factor -4 - 4*d**2 - d + 8 - 3*d + 0*d**3 + 4*d**j.\nAnswer: 4*(d - 1)**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 100, 247, 444, 685?\nAnswer: 964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -45 + 47. Let g = -9 + 13. Suppose g*n + o - 15 = -2*o, 3*n - 10 = -q*o. Solve n = -0*w + 4*w + 12 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.70616576 to 2 dps.\nAnswer: 13.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(42)\/sqrt(2))\/sqrt(7))**2 - sqrt(30)\/(2*sqrt(10)).\nAnswer: -sqrt(3)\/2 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 48293 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.16, -0.4 in increasing order.\nAnswer: -3, -0.4, 0.16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7532?\nAnswer: 2, 7, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/6 - (-6)\/9. Suppose -4 = q*g - 10. Solve -3 = g*w - 0*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 206 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 167 divide 126419?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -987*z**2 - 4593*z + 1710.\nAnswer: -3*(z + 5)*(329*z - 114)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b - 27. Let y be j(-9). Let r = y + 24. Calculate the remainder when -1 - (-2*1 + -10) is divided by r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 o when four letters picked without replacement from {o: 2, w: 11}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 20*r**2 + 24*r**2 - 29*r**2.\nAnswer: 15*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 169*r + 0 - r**2 - 310*r + 179*r.\nAnswer: -r**2 + 38*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-4) + (13 - (-1298)\/(-88)). Put 3, z, -0.2, 11\/4, 5 in descending order.\nAnswer: 5, 3, 11\/4, -0.2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*p + 368 - 2*p**3 - 3*p**2 - 365 - p**4 + 0*p**4 in the form n*p**2 + v*p**3 + h*p + c + o*p**4 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - 15. Let s = z + 18. Suppose -38 - 6 = -s*x. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 720, 1484, 2738, 4482, 6716?\n\"Answer: 245*n**2 + 29*n + 446","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.23736 minutes to nanoseconds.\nAnswer: 134241600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 9*t - 16 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -96439.15 rounded to the nearest ten thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5*4*sqrt(35))\/sqrt(5) + 4 - 1*(0 + sqrt(252)*2)) + 0)**2.\nAnswer: -256*sqrt(7) + 7184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = 114*a - 117*a - 4, 2*h + a - 1 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 135*r - 70. Let s(h) = 20*h - 10. Let m(g) = -20*s(g) + 3*t(g). Calculate m(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, b: 6, w: 1, g: 3, u: 1}. What is prob of sequence wbg?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47 - 1168*m**3 + 22 + 25 - 302*m**3.\nAnswer: -1470*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7003 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, 6, -5.\nAnswer: -5, -3, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*q - 3*q + q**2)*(-4 + q + 4) - 3*q**3 + 4*q**3 + q**3 + 819*q**3 + 249*q**3 + 232*q**3 as l*q**2 + j + p*q + x*q**3 and give x.\nAnswer: 1303","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149 is divided by 6*(-17 - 605\/(-33)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -1*(-2*-1*sqrt(891) + 1 + sqrt(891) + (sqrt(891) - ((sqrt(891) - (sqrt(891) + sqrt(891)*2) - sqrt(891))*2)**2) + 5 + 1 + sqrt(891) + sqrt(891)).\nAnswer: -54*sqrt(11) + 32064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**2\/11 + 29499084*p\/11 + 206493686\/11 = 0. What is p?\nAnswer: -7, 14749549","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -6284 (b) 48 (c) 1 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 0, -0.71, 7\/4, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u + 1. Let l be h(-6). Let m(r) = -3*r + 3. What is the tens digit of m(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d**2 + d - 1. Let a be q(-1). Put 5, a, -3 in decreasing order.\nAnswer: 5, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -7*z - 194. Let i(f) = -8*f - 190. Determine -6*i(q) + 7*x(q).\nAnswer: -q - 218","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -1096*f - 9. Let b(u) = -1097*u - 8. Determine 7*b(k) - 6*r(k).\nAnswer: -1103*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 1612*r**2 + 1678*r**2 + 464*r**2 + 126*r**2 + 1111*r**2 as g*r**2 + f + z*r and give g.\nAnswer: 4991","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from njxxxxxxjxxxjxd. What is prob of sequence jndx?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, m: 4, s: 4, f: 4, g: 3, i: 3}. Give prob of picking 1 m, 2 s, and 1 i.\nAnswer: 24\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - 0.1. What is the closest to 0.1 in -7, -3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006563330649 rounded to six dps?\nAnswer: 0.000656","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/17 (b) -90 (c) 3\/35 (d) -0.3 (e) -2\/6765 (f) 3 (g) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i + 0 + 0)*(6*i + 28 - 28) - 1 - 2*i**2 + 0 + 0 - i**2 - 4*i**2 + 4*i**2 - 31882 + 31882 + 534*i**2.\nAnswer: 543*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -968*l**5 - 7*l**2 - 100 wrt l.\nAnswer: -58080*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1027 and 1092.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - -17 - 20 - -7?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 76, 18, 90.\nAnswer: 18, 76, 90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**10)\/(z*z\/(z\/(z*z*z\/(z*z**10*z*z*z)*z*z))*z*z))\/((z*z\/z**(-16)*z)\/z*z**(-16)) assuming z is positive.\nAnswer: z**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 at least 164\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 61.9 (b) -2 (c) 0.2 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 75878 and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 PM and 8:57 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3571\/30 - 119. Let t(o) be the third derivative of -1\/40*o**6 - a*o**5 + 0 + 0*o + 2*o**2 + 0*o**3 + 0*o**4. Find the third derivative of t(g) wrt g.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 AM and 11:46 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4.36 and 4.29?\nAnswer: 8.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 - (-2)\/(-4) - 2. Sort y, -0.5, -4 in descending order.\nAnswer: y, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2.53383 millilitres?\nAnswer: 0.00253383","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of -1\/6*o**4 + 0*o**3 - 8 + 14*o + 0*o**2. Let h(i) be the first derivative of r(i). Let p(k) = -55*k**2. Calculate h(p(b)).\nAnswer: -6050*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/136)\/((-1)\/4). Let d = 18 - 18. Let p = 1 + -0.5. Which is the closest to d? (a) v (b) p (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 - ((-9)\/1 - -3). Suppose -5*u + 0*u + 5*r = 0, -x*u = 2*r. Let q(o) = -8*o - 178. Let g be q(-23). Solve 2*n - 2*m + g = u, 3*m + 2 = -1 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000338344846 to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 - 8*o - 5. Let g be z(-6). Let x = 30 + g. What are the prime factors of x?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 2\/23, -2\/13?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 + 18*i**2 + 68*i + 187. Give q(-14).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of -4*k**3\/3 - 2. What is j(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -4.5, 2, -2932 in ascending order.\nAnswer: -2932, -4.5, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*((-2439)\/(-270) - 2 - 7).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3*1*((-45604)\/(-39) - 4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 0, 2*y = 3*y + 3*d - 2. Suppose -3*a = -y*s + a + 1146, 0 = 5*s + 4*a - 2935. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 5040 = -5*j, j = -x - 3*x + 999. Suppose 4*s - 2113 = j. Let v = s + -168. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 287 - 275. Solve -5*h = 2*i - 4*i - 7, s = 4*h for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, -9, -0.1, 213, -3, 13?\nAnswer: 213","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 83030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 9. Suppose -3*m = -r*v - 25, 2*m + m - 17 = 2*v. Suppose -41 = -m*x - 11. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39419701 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: Let h = -28 + 48. Let n(k) = -k**3 + 5*k**2 + k - 8. Let r(y) = y**3 + y + 4. Let a be r(0). What is the smallest common multiple of n(a) and h?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 106 = -40. Let f be ((-8)\/(-3))\/((-2)\/(-3)). Suppose 2*n + 2*n - 20 = 0, -z = -k + f*n. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 8) to base 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + v + 5*b - 16, -16 = -4*v - 4*b. Let z be 91\/26 + (-3)\/2. Let g(n) = -v - 2*n - 3*n + 0*n**z - n**2. Calculate g(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-20) + (-29)\/5. Let y(j) = j**2 + 5*j - 5. Let l be y(h). Let a(i) = -5*i + l + 2*i + 0*i + 4. Determine a(6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = 4*q - 20, 164*r + 488*q = 169*r + 491*q - 32 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + (1 - -6) - -17 - -4.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 24441139 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -65013 greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - (0 + 0)\/(-3). Solve -5 = -z - u for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 5 - 2)*(0*f**3 + 2*f**3 - 4*f**3) - 3*f**3 - 3*f**3 + 21*f**3 - 2 as l*f**2 + k*f + b*f**3 + s and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (46 - 45) + (-3 - -25)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 3*s = -5*i + 4661, -3*i + 2801 = 4*s. Suppose n - 2958 = -2*n. Suppose -2*a = r - i, 3783 = 3*r + 2*a + n. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14114, -52536, -116570, -206216, -321474, -462344?\nAnswer: -628826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of p**5\/140 - 3*p**4\/28 + 5*p**3\/14 + 216*p**2. Factor o(w).\nAnswer: 3*(w - 5)*(w - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -62921*a**3 - a + 62920*a**3 + 944 - 2*a**2 - a to q*a**3 + r + m*a**2 + f*a and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (684\/608*(-28)\/(-36))\/(20\/(-16)).\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3.15 in -0.1, -0.2, 223, -10\/17?\nAnswer: -10\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -90 - -97. Suppose -4 = -j*d + 5*d. Solve d*w - 5*p + 5 = 0, -w = 2*w - 3*p - 6 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x - 2. Let k(u) = 5*u**2 - 7*u + 7. Let q(z) = 3*z**2 - 4*z + 4. Let h(w) = 4*k(w) - 7*q(w). Determine h(f(n)).\nAnswer: -4*n**2 - 8*n - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*k**2 - 2*k**3 - 2 + 7*k**2 + 4340*k + 4325*k - 3143*k**6 + 5*k**2 - 8677*k wrt k?\nAnswer: -377160*k**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 + 5*x**2 - 4. Suppose -2*d + 0 = -8. Suppose -d*t + 1 + 5 = 3*h, 0 = 4*h + 3*t - 15. What is the lowest common multiple of w(-4) and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14967*0.1.\nAnswer: 1496.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -4*k**3 + 6*k**2 + 3*k. Let s(r) = -4*r**3 + 5*r**2 + 2*r. Let x = 10 + -5. Let a(n) = x*y(n) - 6*s(n). What is the second derivative of a(b) wrt b?\nAnswer: 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 161*d - 1075524 - 773561 = 0. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 6. What is the nearest to -2 in 5\/6, 0.1, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9 + 3)\/2 + 11. Let l be n\/(-5 + 13) - (-6)\/(-8). Let k be 10\/(-4)*12\/25. What is the closest to 1 in k, -1\/2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) - (1 + sqrt(2)*-1) - (sqrt(2)*-2 + -3).\nAnswer: 2 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = v - 2*i, 6*v + i - 977 = -824 for v.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 5*n = 15 - 25, 0 = -3*n - 6 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15708?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 - 6*p**2 - 7*p + 41. Let z be q(6). Let i = -2 - -2. What is the second biggest value in i, -0.9, z?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 883 + -230000?\nAnswer: -228006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + k = -14, 4*w + 22 - 38 = 4*k for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, -0.1, -2, -3\/61 in increasing order.\nAnswer: -2, -3\/7, -0.1, -3\/61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24.1 - -22.1. What is the closest to 0.1 in b, 1\/2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16.5 - 13.5. Let h be 0 + (8\/4)\/8. What is the closest to 4\/3 in y, 2\/5, -3, h?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 33\/(-9) - -3 - (-84)\/18. What is the least common multiple of (-1280)\/(-15)*6\/i and 8?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/3 + (-34)\/(-6). Suppose -4*w + 17 + 11 = -2*h, s*h + 22 = 4*w. Suppose -w*z + 3*z + 180 = 0. Does 12 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -693*u**5 - 3084*u**4 - 903*u**3 + 1344*u**2 - 144*u = 0. Calculate u.\nAnswer: -4, -1, 0, 4\/33, 3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2157 divided by 3\nAnswer: 719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 13650, 13740, 13886, 14088, 14346, 14660, 15030?\n\"Answer: 28*g**2 + 6*g + 13616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 359*r**2 - 624 - 632 + 1256 in the form v*r**2 + x*r + b and give v.\nAnswer: 359","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28 + 6. Suppose -13*v + 5 = -i. What is the remainder when 55 is divided by v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -157\/6 or -25?\nAnswer: -157\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + 2*l + l**2 - 2*l**2)*(-7 - 4*l + 12*l + 2*l**2 - 6*l)*(174 + 54 - 42).\nAnswer: -372*l**4 + 1674*l**2 - 1302*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 262 - 89. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 727687 or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -h + 4*h + 2*h + (-3*h - h + 5*h)*(0 - 2 + 0) - h - 1 + 1 + 4*h + 4*h - h in the form b*h + f and give b.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.9 + 1.5. Let n = -0.18 - 0.22. Let t = g + n. Which is the closest to 0? (a) -1 (b) 0 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140 = -9*u - 184. Let z = u + 114. Is z a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 + k - 2. Let w be ((-3)\/(-9))\/(2\/12). Suppose 0 = -n - w*n - 6. Calculate r(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -167*k - 203 - 21*k**2 + 739*k**3 + 187 + 167*k wrt k.\nAnswer: 4434","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6658269 + 10511748. Let l be 2 + (-22)\/10 + a\/(-105). Round l to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*59\nAnswer: -17.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1372142 and 433308.\nAnswer: 8232852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of -v**7\/42 - v**5\/10 - v**2. Find the third derivative of z(d) wrt d.\nAnswer: -120*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -79, -10, -4 in decreasing order.\nAnswer: -4, -10, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5 or 3.3?\nAnswer: 3.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -477 - -476. Which is smaller: m or 1\/2013?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.210132 rounded to zero dps?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 - 4 - -3*1. Suppose -a*y = -23 + 9. Suppose 3*c - d = 464 - y, c = d + 149. What is the highest common factor of 14 and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from nttttttttttttttttttt?\nAnswer: 17\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1034234 (base 5) in base 15?\nAnswer: 5549","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -38 - 43*c**5 - 34*c**5 - 19*c + 18*c wrt c?\nAnswer: -1540*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = -15, 5 - 1 = 3*f + j for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 6 = 0, -3*i - i - 4*s = 24 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -19 + 11 + (-65 - (-22 + -15))\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3452 + 1227. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u + 50. Let t be v(-16). What is the highest common factor of t and 1462?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*y + 45*y + 27*y.\nAnswer: 56*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -343 + 341. Which is the nearest to 1? (a) v (b) 3\/7 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of -x**3\/3 + 7*x**2\/2 - x + 31. Let f be y(7). What is the closest to -1 in f, 2\/11, 0.5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 15*q - 26. Let i be r(2). Let n(h) = -h**3 + 6*h**2 - 3*h - 18. Let j be n(i). Which is bigger: j or 14\/11?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -107803, -108158, -108515, -108874, -109235, -109598?\n\"Answer: -z**2 - 352*z - 107450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 8:45 AM?\nAnswer: 11:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 25164835?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 69\/(((-72)\/900)\/((-62)\/465)).\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 a factor of 688460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6559 - -6553. Put -3, n, -0.1 in descending order.\nAnswer: -0.1, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q**24*q)\/(q*q**(6\/11)))\/((((q**(4\/5)*q)\/q)\/q)\/(q**(2\/9)*q)) assuming q is positive.\nAnswer: q**(13304\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 3*n - 3, -n - p + 11 = 4*n. Suppose -l = n*l + 2*l. Solve 4*d - 2*d - 6 = l for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -308 - -275.9. Let j = -0.1 - w. Let o = j + -33. What is the nearest to o in -3, -1\/7, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 + 1 - (-7)\/4*4?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -75*l**3*m**2 + l**3*m - 728679*l*m**3 - 4694*l*m + 34*l + 28*m wrt m?\nAnswer: -150*l**3 - 4372074*l*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10567*x - 8350 = -10901*x for x.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 221 = -n, 5*x - 4*n + 817 + 284 = 0. Let m = 247 + x. What is the remainder when m is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 42, -97, -2, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2589*h. Let i(p) be the third derivative of p**5\/30 + 5*p**2 + 97*p + 1. What is i(y(t))?\nAnswer: 13405842*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-24)\/(-5) + -4)\/(1\/15). Solve -2*y + 4 = -5*n + 6, 0 = 5*y - 4*n - z for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15.94 - 0.94. Which is the nearest to 0.1? (a) f (b) -37 (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 AM and 8:57 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 65713861 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-3)*l\/(l**(-1\/4)\/l))**(5\/9) assuming l is positive.\nAnswer: l**(125\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a tonne in kilograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q - 5 - q**3 + 13*q**2 + 26*q + 5*q**2 - 2*q - 22. Does 10 divide o(19)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -122 (base 4) in base 9?\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -62 - -60. Let l(f) = 2*f**2 - 5*f - 4. Let j be l(4). Put 0, x, j in descending order.\nAnswer: j, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 74 and 1739?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 80614783 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1637*o**2 - 4001*o**2 + 10*o**2 + (-4*o + o + 4*o)*(3*o + 0*o - 2*o).\nAnswer: -5627*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86864.\nAnswer: 2, 61, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.23*-0.12.\nAnswer: 0.2676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-339 - 154 - 607 - 209)*(-2*n + 2*n - 3*n) to the form x + a*n and give a.\nAnswer: 3927","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20247044 is divided by 507.\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4100034?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3b2b4f (base 16) in base 15?\nAnswer: 518e41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12\/11, -2, -78, -0.5, 0.2 in increasing order.\nAnswer: -78, -2, -0.5, 0.2, 12\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.833146ml in litres?\nAnswer: 0.004833146","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 112424 and 39104?\nAnswer: 899392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 1)*(-2*o - o + o) + 106 - 51 - 54 + 35*o.\nAnswer: 37*o + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/1019968 and 9\/295.\nAnswer: 300890560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 148, 296, 444, 592, 740?\nAnswer: 888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -59129712 by -14782428.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 90362?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 AM and 12:07 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 185933 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 + 7*i**2 + 10. Suppose 52*f = 19*f + 231. What is m(f)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -5*d + 20. Suppose 0 = -296*w + 291*w + 155. Suppose d*h + w = 47. Solve 5*z - 5*c = 20, h*z - 12 = 2*z + 3*c for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26.563 - 1059\nAnswer: -1085.563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 305774991?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 8 - 13 = -4*u, -5*u = 3*z - 6. Calculate the common denominator of -31\/4 and z\/1*(-979)\/(-66).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-2*sqrt(117)*1*-6)\/(sqrt(225)*1 + 1*sqrt(9)*1) + -2).\nAnswer: -12 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/70222395, -2\/7, -0.2?\nAnswer: 2\/70222395","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w - 2. Let u = -9 - -12. Calculate s(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-816)\/(-84))\/17*1498. Calculate the greatest common divisor of f and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.4 + 1.4. Let q be -19 - -19 - 16\/(-2). Suppose -53 + 77 = q*a. What is the nearest to s in 1\/4, -2\/11, a?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(1\/27))**(-47)*u\/(u*u**(-2\/5))*((((u\/u**30)\/u*u)\/u)\/u)\/u assuming u is positive.\nAnswer: u**(-10846\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1149 divided by -383?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of 2*o**3 - 1\/12*o**5 + 0*o + 0 - 14*o**2 + 0*o**4. Find the first derivative of s(x) wrt x.\nAnswer: -10*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 n when two letters picked without replacement from {t: 8, n: 3, y: 6}?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 23*m - 14*m. Let v be (-567)\/(-54)*m\/2*-2. Solve -3*w - v = -k + 4*k, 3*w + 13 = k for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -91.3 - -5.3. Let x = v + 85. Let t = 4 + -3. Put x, -0.4, t in ascending order.\nAnswer: x, -0.4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -3\/8 (c) -1 (d) 126\/81299\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.3109 from -544.\nAnswer: -543.6891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5886198947 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 47759753729 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1501268 - 1501333.0053. Let l = i + 65. Round l to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -16 - (-17 - (21 - 39)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20290102, -40580188, -60870274, -81160360?\nAnswer: -101450446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10720585648 take away -11313?\nAnswer: -10720574335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4131*z - 20 = 4139*z + 4*x, -2*x = 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 + 2*j**2 - 5*j - 14. Determine c(0).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 7*l - 6. Calculate the least common multiple of f(6) and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of -k**4\/8 - 4*k**2 - 793. Let a(u) = 4*u - 35*u**2 - 4*u. Determine a(s(j)).\nAnswer: -315*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 5:00 AM?\nAnswer: 10:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 + d + 1. Let k(g) = -823*g**3 + 3292*g**2 - 3292*g - 3292. What is -3*k(y) - 9876*z(y)?\nAnswer: 2469*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -6, -498, -2\/5, 1, -3\/4 in increasing order.\nAnswer: -498, -6, -3\/4, -2\/5, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -6978861.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7.3 * -31.\nAnswer: 226.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t = 7*t + 5. Put t, 2, 4, 5 in ascending order.\nAnswer: t, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2558285\/271899264 + -1\/163401. Find the common denominator of s and -55\/32.\nAnswer: 4992","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1432?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 398325 by -15.\nAnswer: -26555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*h**3 - 342*h**2 - 2*h**3 + 172*h**2 + 170*h**2.\nAnswer: -6*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -602613 (base 9) to base 12.\nAnswer: -1521b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 208*b + 4 - 4.\nAnswer: 208*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 487?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 871.\nAnswer: 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 - 2*a - 1. What is d(-6)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 151 + -101. What is the remainder when 193 is divided by k?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4 and 0.13940199.\nAnswer: 4.13940199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(2) + 1)*-2)**2 + -5*sqrt(32)*2 + (sqrt(126)\/(sqrt(175)*2 + sqrt(7)) + -1)**2.\nAnswer: -710*sqrt(2)\/11 - 4217\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 215525 and 100?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y**2 + 10*y + 12. Let a be b(6). Suppose 5*c - 5*j - 230 = a, -131 - 17 = -3*c + j. Is c a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b**3 - 9*b**2 + 75*b - 63 = 0 for b.\nAnswer: -7, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33800 and 12000?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 79241099 to the nearest integer?\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 i when two letters picked without replacement from xnynioiiixxinyxx?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, 4, 30, 3, 5, -1953 in increasing order.\nAnswer: -1953, -4, 0, 3, 4, 5, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 405137 is divided by 135036?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*a - 1246 = -32*a. List the prime factors of a.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of -1\/2*v**2 + 2*v + 0 + 1\/6*v**3. Let j(i) = i. Let a(c) = 8*c - 2. Let g(r) = -a(r) + 5*j(r). Calculate -2*g(s) - 7*n(s).\nAnswer: -s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ba04 (base 13) to base 7.\nAnswer: -135253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-14)\/(-21) + (-20877)\/(-31311)*-1. Let v = q + -240011\/417480. What is the common denominator of v and -103\/60?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-898*p**3 - 646*p**3 - 995*p**3 + 781*p**3)*(-2 + 2 - 3*p).\nAnswer: 5274*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 78385448?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -28b9 (base 16) to base 12\nAnswer: -6049","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10825*i - 9921*i + 2840*i.\nAnswer: -17906*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/12*(-2 + 8). Let i be w + 161 - (1 + -4). Suppose -3*o + 7*o = i. Is o a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -335, -1343, -3039, -5429, -8519, -12315, -16823?\nAnswer: -22049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (1 - -11) - (-39 + 61).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 30867?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.4316 + 0.36963. What is s rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of j**3\/2 - 3*j**2\/2 - j. Let q(g) = -13*g - 12. Let b(c) = 20*c + 20. Let u(x) = -5*b(x) - 8*q(x). Give -3*s(o) + 2*u(o).\nAnswer: -o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 477.6968 millennia in decades?\nAnswer: 47769.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6\/50270675 and -47\/8.\nAnswer: 402165400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35, 0, 3, -3, -58, -9.\nAnswer: -58, -35, -9, -3, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -167.2581 take away -0.3?\nAnswer: -166.9581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of -2*u + 13 - 3\/8*u**2 - 1\/96*u**4 + 5\/48*u**3. Factor v(k).\nAnswer: -(k - 3)*(k - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = m + 393917 + 561668, -3*i + 15 = 0. What is m rounded to the nearest 100000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 174006\/6 + (-1 - 0). Suppose u = 3*f - 8*f. Round f to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 + i + 2. Let r be z(0). Let k be (2\/5)\/(r\/(-4)). Put -1, k, 0 in decreasing order.\nAnswer: 0, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -62 - -77. Let j be 13\/5 - 6\/(-15). Let q = c + j. Is 18 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1079 plus 40.89?\nAnswer: 1119.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*p - 0. Let u(q) = 6*q**2 - 2*q + 1. Let b be u(p). Suppose b*m = -4*f + 42, -4*f + 38 = f - m. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12191374, 24382764, 36574154, 48765544?\nAnswer: 60956934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 84046733 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.2, 0.2, 0.05 in decreasing order.\nAnswer: 0.2, 0.05, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xr when two letters picked without replacement from xdkkkzpkxxrxxk.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -128 + 125. Let f be (1\/(3 - 2))\/(j\/(-6)). Let w(k) be the second derivative of 11*k**3\/6 - k**2 + 3*k. Determine w(f).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.94025ng to micrograms.\nAnswer: 0.00994025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-21) - (-1 + 94\/14). Let t be ((-27)\/18)\/(d\/(-4) + -1). Is 804\/8*(-2 + (-20)\/t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-14)\/(-154)*((-2)\/(-1))\/(-1). What is the nearest to -2 in -1\/8, -3\/2, u?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-26)\/(-10) + 6\/15. Let p = 16 + -14. Let o(i) = -i - 1. Let z(f) = f. What is p*o(m) + x*z(m)?\nAnswer: m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13*(-660)\/1144*(-48)\/(-30)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*u - 13*u - 60. Let y be 374\/40 + (-1)\/(-4). Suppose 3\/5*v**2 - u*v**5 - 3*v**4 + 123\/5*v**3 + 12\/5 - y*v = 0. Calculate v.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2*t**3 + 116*t**2 + 137*t - 140. Is y(59) a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = 11*x - 12 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 4. Let s = 1708 - 1707.5. Put -0.2, s, 3, m in descending order.\nAnswer: m, 3, s, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*s + s + 34. Suppose -4*f = -5*f + 4*r + 556, -2*r = -s*f + 1136. Is f a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*i**2 + 6*i**2 - 2*i**2)*(-38 - 46 + 2)*(2 - 5 + 0) to the form j*i**2 + m + z*i and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or 1735.57?\nAnswer: 1735.57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 57 and 152.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4*(-1 + 2 - 14). Suppose -2*m + o = 2*m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5358 - c + 2851 + 2840.\nAnswer: -c + 333","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.0698421079+0.109\nAnswer: 0.1788421079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 2 x when four letters picked without replacement from gxxxaaxr?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*k - 89*k + 20*k.\nAnswer: -30*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -195011*h + 26 = 29*x - 195007*h, -3*h = -3*x + 30 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 - b**2 + b. Let a(d) = 22*d**3 + 10*d**2 - 10*d. Give -a(c) - 10*v(c).\nAnswer: -12*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -67, -131, -197, -265, -335, -407?\n\"Answer: -c**2 - 61*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 31*i**4 - 17*i**3 - 69*i**2 - 117*i - 5. Let k(r) = 118*r**4 - 66*r**3 - 276*r**2 - 468*r - 19. Let t(d) = -5*k(d) + 19*y(d). Factor t(a).\nAnswer: -a*(a - 13)*(a + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 359? (a) 1 (b) 2 (c) -34\/39 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 34 = 18. Let s = 83612 - 83609. Calculate the remainder when v is divided by s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = -w + 4, 4*g + g - 8 = -2*w for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 25 = 2*f, 6 = -2*o - 4*f + 28. Suppose -13*p + 52 = -0*p. Suppose -p*l = 4, 3*z = 2*z - 2*l - 1. What is the highest common factor of z and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s**3 + 420*s**2 + 5019*s + 8382 = 0.\nAnswer: -127, -11, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-528 - -540)\/(10\/6 - 2).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5451628 by -4.\nAnswer: 1362907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ewes when four letters picked without replacement from {e: 10, w: 4, s: 1, l: 4}?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -207*w**3 - 63*w**2 - 63*w - 63. Let i(c) = 13*c**3 + 4*c**2 + 4*c + 4. Give 63*i(d) + 4*j(d).\nAnswer: -9*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*j + 33*j = 9685. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(((-378)\/27)\/(-70)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 1565*x - 3112*x + 1554*x. Let j(v) = -14*v. What is y(j(b))?\nAnswer: -98*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(16\/5)\/b)**(-38)*(b**(2\/23)\/b)\/b**(-28))**(8\/9) assuming b is positive.\nAnswer: b**(-51992\/1035)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -2*g**5\/7 - 20*g**4\/7 - 74*g**3\/7 - 128*g**2\/7 - 104*g\/7 - 32\/7 = 0.\nAnswer: -4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 5:13 PM?\nAnswer: 6:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*u + 18 = 11*u - 3*a, 0 = -4*u - 5*a + 15 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2 and 440.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add -23087504.7027 and 136.\nAnswer: -23087368.7027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4837, -4930, -5085, -5302, -5581, -5922, -6325?\nAnswer: -6790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = q - 6*q - j, -7 = 3*q - 4*j. Suppose 119 + 7 = 18*b. Suppose 4*v - 5*c = -37, -2*v + 14 = -5*v + c. Sort v, q, b.\nAnswer: v, q, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -42311 or 1.9?\nAnswer: -42311","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*w = 569 - 191 for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3192 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 1 + (-5 + 4 - 1)*(-2 + 2 - 2))*(-f - 2*f + 5*f).\nAnswer: 10*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence owoo when four letters picked without replacement from {o: 9, w: 7}?\nAnswer: 21\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/8, 0, -2\/9, 0.5, -2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1425 and 9675.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3151355 (base 6) to base 12\nAnswer: 7555b","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is 3404482 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: Let g = 277 + -263. Let c be (7\/g)\/(2\/36). Solve -3*q - c = -3*a, 0 = -q + 3*a - 9 - 4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 p when two letters picked without replacement from {i: 2, e: 2, o: 2, p: 3, h: 4, m: 1}.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(1\/8))**3 assuming l is positive.\nAnswer: l**(21\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3047809 divided by -5\nAnswer: 3047809\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 7) to base 4\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27 - 56*v + 13 + 14 to a + x*v and give x.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 192124\/(-32393) - 1*-6?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 80 = -6*j. Suppose 7*d - j = 3*d. Let p = 1 - -2. Sort d, p, 2 in decreasing order.\nAnswer: d, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 76816, 153618, 230420, 307222, 384024, 460826?\nAnswer: 537628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 - s + 100. Let k(w) = 2*w**2 - w**3 - 8*w**2 + 2*w**3. Let b be k(6). Let i be h(b). Round i to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 4*x**2 - 2*x - 4. Suppose 4*w - w = -9. What is the units digit of i(w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 - 2*u - 4. Let q be g(0). Put 2, 10, 1, q in ascending order.\nAnswer: q, 1, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - q + 857 = 0, -2*x - 1717 = -6*q + 7*q. Let u = -398 - x. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.0191592 millilitres?\nAnswer: 0.0000191592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 619781972?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/30510 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 340 by -17.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26\/(-6) - 24\/36)*308\/1155*3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -6 times 20067265\nAnswer: -120403590","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-171)\/285*-1*(-11)\/3\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-78)\/(-18) + (-3)\/9. Suppose 0 = -5*s + 5*m + 5, -2*m - 4 = -r*m. Solve s*o + 2 = -10 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -99 + 73. Let m be (-91)\/b - 2\/1. Which is smaller: m or 4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - 3*i**2 + 4*i + 4. Determine n(-5).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1176248207 to the power of 1\/4, to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 21.72638 years?\nAnswer: 2.172638","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 4*y + 212, 4*i + y + 2*y - 391 = 0. Suppose i = 5*h - 5. Factor -20 - h*a**2 - 3*a + 5*a**3 - 4*a**2 + 43*a.\nAnswer: 5*(a - 2)**2*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 177 + -128. Are 49 and x non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4*a + 5 = 0. Is a greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 0 + 3 = -2*o + 8, 126 - 124 = 2*x for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 + 4*n - 3. Let k(c) = -7*c**2 - 7*c + 11. Let p(m) = -1 + 0 - m**2 + 0*m**2 + 2. Let s(t) = k(t) - 6*p(t). Determine 3*s(o) + 5*v(o).\nAnswer: 2*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*i**2 + 258*i**2 + 2*i + 1 - 1 - 4*i to the form r*i**2 + v + q*i and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -26*x + 1. Let d be q(-1). Let h = -14 + d. Let m = -7 + 12. What is the remainder when h is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (9\/(-6)*-2 - 680\/120)*-240. What is the greatest common divisor of 440 and n?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*u + 6*u + 5*u + 3*u.\nAnswer: 8*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -41*c**2 - 64*c**2 + 2*c**2 + (-2*c + 10 - 10)*(3*c - 5*c + 4*c) - 5*c**2 + 4*c**2 + 3*c**2.\nAnswer: -105*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/24 and 56\/(-33) - (-3)\/(-3) - -1?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*j - 13*j - 4 = p, 10 = -3*p - 5*j for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -3\/2, 0.1, -2\/13, 29, 0.03?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 578706 divided by -185\nAnswer: -578706\/185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 323?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -5. Let l = 31.6265589 + -29.62655867. Let d = a - l. What is d rounded to seven dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28259.5254 rounded to the nearest integer?\nAnswer: 28260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-2)*-5 - -1. Find the common denominator of 4\/s - (-151)\/(-60) and 9\/(-135)*(-475)\/2.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -12*d. Let u be f(-3). Let b = -24 + u. What is the lowest common multiple of 11 and (-3)\/b - (-42)\/8?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (60\/((-2)\/(-1)))\/(215\/(11610\/(-108)))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3*-182781\nAnswer: 548343","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -43 - -16?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x - 43. Let z be c(-29). Solve -5*b + 5 + z = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 442374679 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1399916341 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12483, -12484, -12485, -12486, -12487, -12488?\nAnswer: -12489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 5897793, 23591137, 53080033, 94364481, 147444481, 212320033, 288991137?\n\"Answer: 5897776*r**2 + 16*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 6) + -17 + 18 + 11\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1246?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 476166953?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1092562 + -1092562.0720093. Let g = 0.072 + x. What is g rounded to 6 dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 PM and 9:48 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19944589?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 874335 by -14.\nAnswer: -124905\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*a + a**2 + 22917*a**4 - 48708*a**4 - 2*a**2 + 23160*a**4 + 797 wrt a.\nAnswer: -63144*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 4 + (4 + -6 - -20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 205809 and 93?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -606 + 0*(-4)\/16. Let y = 870 + c. Find the common denominator of -27\/14 and y\/(-36)*13\/12.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-10))**(-28\/3) assuming h is positive.\nAnswer: h**(280\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2. Let j be 7*3\/21*60. Suppose -3059*k - 21 = -3066*k. Let z(c) = 60 - j + k*c - 4*c. Calculate z(o(y)).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 306 and -121.0036?\nAnswer: -37027.1016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11\/170 + 219\/1870. What is the nearest to -1 in -0.3, 1\/2, f?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c**2 + 2*c**2 - c**2)*((-1 + c + 1)*(1 - 7 + 4) + 0*c - 3*c + 4*c - 6 + 2 - 321*c + 323*c).\nAnswer: 5*c**3 - 20*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 2)*(-t**5 - t**5 + 4*t**5).\nAnswer: 2*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16392900?\nAnswer: 2, 3, 5, 53, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d\/(d*(d*d**(-14))\/d*d))*d**(2\/5))**(-25))**6)**(10\/13) assuming d is positive.\nAnswer: d**(17400\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2586*w + 7760*w + 2 - 2586*w - 2586*w - 2.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 m, and 2 p when four letters picked without replacement from {j: 2, n: 4, s: 1, x: 2, p: 3, m: 2}.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 8:51 AM?\nAnswer: 9:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3\/9 + 19216*x**2\/9 - 490490*x + 28515708.\nAnswer: -2*(x - 9374)*(x - 117)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - (4 - 10 - 2). Solve -f*p = -3*p + 8 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -376719 or -376721?\nAnswer: -376721","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(2 + ((sqrt(1584) - 3*(sqrt(1584) + 0))*-6 - ((0 + sqrt(1584) + sqrt(1584) + sqrt(1584))*1 + (sqrt(1584) - 2*sqrt(1584)) + 0))))**2.\nAnswer: 480*sqrt(11) + 158404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -34682 times 0.1\nAnswer: -3468.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7\/2*(-34 + 32). Let r(h) = -h**3 + 10*h + 9. What are the prime factors of r(d)?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 - 6*q. Let j(h) = -h**2 - 7*h. Let u(m) = 6*g(m) - 5*j(m). Let o be u(0). Is -1*(o + 2) - -37 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-10)\/(i**(-14)*i))**(-1\/7) assuming i is positive.\nAnswer: i**(-3\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7 + (-1 - -1) + -2 - (-422 + 422). What is the fourth biggest value in n, 9, -0.4, 0.73?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 - -13. Suppose -4*k + 9*k - 610 = u. Suppose -k - 106 = -4*s. Is s a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -36, -9, 194 in decreasing order.\nAnswer: 194, -9, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 189*(-33)\/(-693) + (-302)\/34?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(152) - (sqrt(152) - sqrt(152)*-2)))\/sqrt(8).\nAnswer: -12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10\/(-16) + 75\/(-200). Let j(c) = -54*c**2 - 11*c - 6. Let f(u) = -11*u**2 - 2*u - 1. Let m(y) = 11*f(y) - 2*j(y). Give m(t).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 5*u**4 + 960*u**3 + 65880*u**2 + 1900800*u + 19602000 = 0.\nAnswer: -66, -30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 - 14*s**2 + 31. Let d(g) = 2*g**3 - 28*g**2 - g + 61. Let c(h) = 5*b(h) - 3*d(h). Let u be c(14). What is the highest common divisor of u and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (12\/21)\/2 - 819\/(-49). Calculate the greatest common divisor of o and 986.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13301 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v**4 - 3*v**2 - v - 1. Let d be 10\/35 - 18\/14. Let s(q) = q**4 + q**2 - q - 1. Let x(o) = d*s(o) + j(o). Find the third derivative of x(y) wrt y.\nAnswer: -72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, 1, 3, -15 in descending order.\nAnswer: 22, 3, 1, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*x = 128*x + 9, -10 = -v + 5*x for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h - 2. Let t(f) = 2*f + 4. Suppose -4*l - l = 20. Let v = -11 - -2. Give l*t(k) + v*n(k).\nAnswer: k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 699, -2, 0 in decreasing order.\nAnswer: 699, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, -153 in descending order.\nAnswer: 1, -2, -153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010101000001 - -1010?\nAnswer: -10010100110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161040 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 975\/25*((-5)\/(50\/(-4)))\/((-18)\/15).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p + 58290 - 29142 - 29148 - p**3 - 3*p**3.\nAnswer: -4*p**3 - p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of 2\/105*l**7 + 0*l**5 + 2*l**2 + 0*l**6 + 0*l + 1\/8*l**4 + 0 + 0*l**3. Find the second derivative of w(a) wrt a.\nAnswer: 48*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**2\/3 - 726460*p\/3 - 726445.\nAnswer: -5*(p + 3)*(p + 145289)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64 (base 9) to base 7.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (11 - 8)\/((-66)\/(-4)). Factor -4\/11 + 4\/11*o**2 + 2\/11*o**3 - d*o.\nAnswer: 2*(o - 1)*(o + 1)*(o + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 737 + -1561\/2. What is the common denominator of y and 41\/78?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*(v**(-5)*v)\/v)\/(v*v**8\/v*v))\/(v**(-1\/3))**(2\/83) assuming v is positive.\nAnswer: v**(-3235\/249)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**5\/((s**9\/s)\/s)*s**(-2)\/(s**6*s))\/(s*s**(1\/14)*s*s*(s*s**(1\/2))\/s*s**0\/s**(-3)) assuming s is positive.\nAnswer: s**(-123\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10683879.\nAnswer: 3, 3561293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7975*a**2*u - 676*a*u - 7*u wrt a?\nAnswer: 15950*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(360)*-4 - sqrt(360))\/sqrt(8).\nAnswer: -15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -422 - -613. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -42\/78605 and -54\/869.\nAnswer: 864655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (701 - -39)*(3 + (-21)\/(-5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (5 + 2*sqrt(1584) - ((-5 + sqrt(11)*2)**2 - (sqrt(11) - (sqrt(11) - (0 + 1*sqrt(11) + sqrt(11))))**2)).\nAnswer: -23 + 44*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 284b (base 12) in base 3?\nAnswer: 20101212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-3\/4))\/q)\/(q\/(q**0\/q))*(q**0\/q)**(-1\/5) assuming q is positive.\nAnswer: q**(-51\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q**3 - 4*q**3 + 3*q**3 + (0*q + 3*q - 2*q)*(-2*q**2 + 1 - 1) + 4 + 2*q**3 - 4 + 16*q**3 + 28*q - 28*q + (11*q + 34 - 34)*(2*q**2 - 10 + 10).\nAnswer: 37*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -4.99?\nAnswer: 14.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 - h**2 + 2*h + 10. Let u be a(0). Suppose -6*d = -u*d + 352. What is the highest common divisor of 11 and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 2*p**2 + 2*p**3 + 7 - 2*p**4 - 14 - p to the form k*p**3 + m + l*p**4 + t*p**2 + a*p and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aahahhhahhh. Give prob of sequence aaha.\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*x + 317 - 311 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 - 14*d**2 - 15*d + 2. Let j be z(15). Solve 0 = -j*h + 6 + 2, 3*r + 5*h = 26 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.7 - 0.5. Let x = p + 1.8. Which is the nearest to -0.1? (a) 3 (b) 1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 5, h: 4, s: 1, c: 5}. What is prob of picking 1 s, 2 c, and 1 r?\nAnswer: 10\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, y: 6, e: 1, r: 2, t: 2, j: 3}. Give prob of picking 1 r and 1 t.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 2259?\nAnswer: 2259","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j - 1. Calculate v(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -338*l = -337*l - f - 11, f = 4*l - 9*l + 1 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1143 - -1303430?\nAnswer: 1302232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*l**3 - 9*l**3 - 38*l**3 - 2*l - 15*l**3 + 2*l.\nAnswer: 22*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*(w*w**(-1\/21))\/w*w)**(-2))**(-2\/39) assuming w is positive.\nAnswer: w**(248\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v + 5*v - 6*v + 2*v.\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 804703974?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -19*w**4 - 2164*w**3 + 383439*w**2 + 3570156*w - 380052 = 0.\nAnswer: -207, -9, 2\/19, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, 0, 35 in increasing order.\nAnswer: -21, 0, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3395136 to the nearest integer?\nAnswer: 1843","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2435900 divided by 487180?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23276\/377 + -1786\/29. Factor 0 - 2\/13*g - c*g**2.\nAnswer: -2*g*(g + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a kilogram in grams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, i: 1, b: 1}. Give prob of sequence itb.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d**3 - 1 + 1 + (-d**3 - 4*d**3 + 4*d**3)*(-5 + 6 - 5) - d**3 - 2*d + 2*d to the form r*d**3 + s*d + h*d**2 + g and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k**3 + 23*k**2 + 15*k - 22. Calculate the smallest common multiple of a(12) and 240.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-54)*(-54)\/(-228).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2554 + 2654. What is the second smallest value in j, -2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 3*m = -33, 45*v - 115*v + 0*v - 5*m - 65 = -60*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i + 129. Suppose 33*m = 340 + 485. Is h(m) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 4 (b) -0.4 (c) -4\/5 (d) -9 (e) -5 (f) 153.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -206 - -2264\/11. Let b = -0.3 - 0.1. Sort b, 0.1, z in increasing order.\nAnswer: b, z, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5.1, -5\/2, -2\/15, 1\/3, 4 in descending order.\nAnswer: 4, 1\/3, -2\/15, -5\/2, -5.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -772486 and -1.7.\nAnswer: 1313226.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.55174 rounded to 2 decimal places?\nAnswer: -0.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - (4 - 2)) + (-20 - -4) + 17?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/10833 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (3*2*sqrt(5) - sqrt(90)\/sqrt(2) - (1 + (sqrt(180)*-1)\/sqrt(9))) + -3)**2.\nAnswer: -40*sqrt(5) + 141","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 3*w**3 + 5*w**2 - 8*w - 10. Let l be n(-1). Solve -i + 2*v = -0 + 2, i + 2*v + 2 = l for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - -1. Suppose -25 = -5*h, v = h - 0*h - 5. Let s(m) = -2*m - 2. Let c be s(v). What is the third biggest value in 0.1, f, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139*q = -135 - 421 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -6*b**2 - 8*b**2 - 186*b + 86*b + 76*b - 10. Let u(t) = 9*t**2 + 16*t + 7. Suppose 3*z = 8*z - 25. Let k(y) = z*q(y) + 8*u(y). Factor k(o).\nAnswer: 2*(o + 1)*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 12*h**2 + 10*h**2 - 20*h**2. Let v(p) = -21*p**2. What is i(v(w))?\nAnswer: 882*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from puppupppppppppppupnn. What is prob of picking 2 u?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 - (1 - 3)) + -16. Let x = c + 37. List the prime factors of x.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(22660\/22)*-2)\/((-1)\/1).\nAnswer: -2\/103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4242446?\nAnswer: 2, 13, 163171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 112\/(-6)*21\/14. Let v be ((-8)\/k)\/((-18)\/(-14)). Factor -8\/9*a + v*a**2 + 8\/9.\nAnswer: 2*(a - 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -375 - -354. Suppose -336 = 13*n - 17*n. Suppose -b + 3*b = -3*v - 63, 0 = -4*v - b - n. Is v >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*o + 9. Suppose 0 = o*f - 2 - 8. Let b = 9 - 4. Solve -9 = -b*y + f*v, 0 = y + 3*v + 1 - 13 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 77600 and 45008.\nAnswer: 1552","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 4473*c**3 - 2*c**2 + 3*c - 2. Let v be a(1). Suppose -9*b - 17*b = -v. What is the greatest common factor of 129 and b?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8864 + -8867. Put -1, -11, -2, g, 18 in decreasing order.\nAnswer: 18, -1, -2, g, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1 and 3577787?\nAnswer: 3577787.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 14) to base 9\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, z: 4, q: 3, k: 1}. What is prob of picking 1 k, 1 q, and 1 z?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fyy when three letters picked without replacement from yyyyyyyyyyyyfyy?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5747 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g**5 - 3*g**5 + 3*g**5 + (-4*g**2 + 3*g**2 - 11 + 4)*(3*g**3 + 4*g**3 - 6*g**3) + 2*g**5 - 3 + 3 + (0 + 0 + 3)*(g**5 + 0*g**5 + 0*g**5).\nAnswer: 7*g**5 - 7*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of -q**5 - 21*q**4 - 639*q + 1583. What is the derivative of u(w) wrt w?\nAnswer: -20*w**3 - 252*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -461*z - 400*z**3 - 394632*z**2 - 5 + 197318*z**2 + 197314*z**2 wrt z.\nAnswer: -2400*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 341292 and 146268?\nAnswer: 1023876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48930737?\nAnswer: 331, 147827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8159)\/(-1393))\/(615\/90).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -56*o**5*z - o**3*z**2 - o**2*z**2 + 2*o**2*z - 9*o**2 wrt o.\nAnswer: -3360*o**2*z - 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-158460)\/16680)\/((-2)\/(-6)).\nAnswer: -57\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 + 134*c**2 - 511*c + 338. Calculate a(130).\nAnswer: 1508","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 7. Let c(d) be the second derivative of d**3\/6 + d**2\/2 + d. Let p(f) = f**2 + 5*f + 5. Let w(j) = s*p(j) - 5*c(j). Solve w(y) = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -69\/11 or 7\/4426?\nAnswer: -69\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 0 + (8 - 6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 2\/23, 1\/2, 0.1, -4\/3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -40? (a) 22 (b) 4 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 654972767.\nAnswer: 269, 2434843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + o - 6 = 0. Suppose -r - 4 = -3*r, r = 4*f - 14. Suppose -h - 11 = -u + f*h, h + 3 = u. Which is the second smallest value? (a) u (b) -1\/4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 603431 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71 - 71 - w**2.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6298401?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7577536 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nhhn when four letters picked without replacement from {n: 2, h: 5}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.034578479 to 5 decimal places.\nAnswer: 0.03458","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 329 + -78. Let v = b - 166. Does 60 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44019 divided by -2738?\nAnswer: 44019\/2738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -15*v**2 + 2*v. Suppose 0*y + 3*y - 3 = 0, -y - 20 = -3*m. Let t(i) = -m*i - 3*i + 16*i - 5*i. Give u(t(n)).\nAnswer: -15*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 296*v**2 - 296*v**2 + 35 - 2*v**3 to u*v + z*v**3 + r + y*v**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*d + 36 = -27*d. Let i be (-9)\/d*(-3238)\/(-6) - -3. Let o = i - 415. Calculate the common denominator of -99\/20 and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5205.27 to the nearest ten.\nAnswer: -5210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1007822 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 6177*q + 40 = -6181*q, -4*q = -4*o + 36 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/6)\/(2\/(-48)*4). Suppose 3*v - 2*a - 10 = 0, -a - 19 = -5*v - 0*a. What are the prime factors of -3 - (-94 - v - s)?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4187 rounded to the nearest 100?\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 PM and 1:03 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(187) + (sqrt(187)*-4 - sqrt(187)) - sqrt(187) - sqrt(187)))\/(sqrt(121)\/((sqrt(11) - -4*sqrt(11)) + sqrt(11))).\nAnswer: 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 481339699 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -2*(-1 + 1 + sqrt(325) + -6*(0 + sqrt(325))))**2.\nAnswer: -300*sqrt(13) + 32509","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 42, 215, 504, 909?\n\"Answer: 58*j**2 - j - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**4\/8 + 137*m**3\/4 - 4035*m**2\/2 - 45041*m - 213160 = 0. What is m?\nAnswer: -10, -8, 146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -5. Let j = u - -6. What is the third derivative of -3*p**3 + p**2 - 4*p**j + 0*p**2 wrt p?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -290 + 278 - (-3 + -24)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -0*h + 8356. Let p = h - 18781\/9. Find the common denominator of -38\/7 and p.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 3*w - 11 = 0, 2*w - 8 = -0*r - 5*r. Suppose -r = 2*n - 4*n. Suppose 0 = -2*y + f - n, -y + 3*f - 13 = 0. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 + -31. Let b = v - -21.5. Let x = b + -3.5. Put -1\/2, 0.04, -1\/6, x in increasing order.\nAnswer: x, -1\/2, -1\/6, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 q when three letters picked without replacement from deqereeredqredeqe.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of -183 and 0.3450784303.\nAnswer: -182.6549215697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 17\/2 of a milligram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of -7*s**3\/6 + s**2 - 7*s - 2. Let d(o) be the first derivative of t(o). What is d(2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -3*v**2 - 5*v + 3 + 0 + 2*v**2. Let b be s(-5). Let z(y) = -y**2 + 2*y + 2. Let w(n) = -2*n**2 + 5*n + 4. Give b*w(x) - 7*z(x).\nAnswer: x**2 + x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + m = 3*m - 4, x = -5*m - 8. Solve 0*y - x*y = 5*o - 8, -12 = 2*o - 3*y for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 + 3*k**2 - 2*k - 4. Let u be p(-3). Let w = 6 - 6. Solve -4*m + w*z = 4*z, -u*m - z = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -879*h - 19360. Let g be v(-22). Suppose -3 = -y - 0. Put g, y, 4 in decreasing order.\nAnswer: 4, y, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (12\/46*(-2)\/(-8))\/(46 + -43). What is the nearest to -1\/2 in -0.5, k, 0.3, 2\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1098 + -1098.25. Let u be (0 + (-1)\/(-5))*-1. Which is the second biggest value? (a) g (b) u (c) -1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/2 in -0.5, 28664, 0.1, -0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2 - 16282214*x - 66277623185449.\nAnswer: -(x + 8141107)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -40 + 42. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-5 + 2*sqrt(1584) - sqrt(1584)) + (sqrt(1584) - ((-6*(sqrt(1584) + -2) - sqrt(1584))**2 - sqrt(1584))))*3.\nAnswer: -24624*sqrt(11) + 933180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -4*f + 8, -11*g - 6 = -3*f - 8*g. Suppose f*s - 2*a = 4, -3*s = 4*a - 5*a - 14. Solve 0 = -6*d + 4*d + s for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5158370 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - k**3 + 1 + (-2*k + 2*k + 2*k**2)*(2*k + 1 - 1) + 9*k**3 - 7*k**3 + 371*k - 966*k.\nAnswer: 5*k**3 - 595*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-14862)\/(-14))\/((-246)\/164). Let v = 708 + x. What is the smallest value in v, 0.3, 36\/13?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 + 2*w + 1. Let u(g) be the third derivative of g**5\/30 - g**4\/8 - g**3\/6 - 443*g**2. Give 3*u(h) + 4*v(h).\nAnswer: 2*h**2 - h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -195 + 194 + (-1 - -2 - -2) + -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 5*d = -30 - 4, -3*d = -3*m - 6. Let p = 12807 - 23193478\/1811. Let g = 28985\/16299 + p. Is m at least g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.320865063 to 1 dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -1239661.373 to the nearest 100000.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/165, -2, 1\/7, 4\/5, 208?\nAnswer: 208","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 4:39 AM?\nAnswer: 2:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5140294 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 4*f - 1 + 4*f - 5*f. Let u be 5\/2 + 2\/(-4). What is the units digit of r(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64640388 a multiple of 426?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 11 = -i - g, 17 = -4*i + 3*g. Let z be -3 - (-14 + i + 6). Solve -4*n + 3 = 3*k - n, -k = -n - z for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 5, 4\/5, -3, 3?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen tenths of a litre in millilitres?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of i**7\/2100 + i**6\/225 + i**5\/75 - 4*i**3\/3 - 2. Let y(z) be the third derivative of b(z). Let y(t) = 0. What is t?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 333\/24940 + -1\/580. Which is greater: s or -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -66*w**2 + 29*w**2 + 32*w**2 - 72*w - 215 - 148*w.\nAnswer: -5*(w + 1)*(w + 43)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 3*f - 4*f + 4 + 0*f. Let x be t(-8). Let i = x + -11. Solve -y = 1, -q + i - 7 = 2*y for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - (-6 + (0 - -2) - -9).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7113666.\nAnswer: 2, 3, 7, 169373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -564 = -2*f - 582 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 3*f - 4 = 4*f, 0 = 2*d - 3*f - 12. Which is the nearest to -12? (a) 2\/5 (b) d (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6067095.5 rounded to the nearest 100000?\nAnswer: -6100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + 4 - (70 + -73). Solve 2\/3*u**3 - 1\/3*u**r + 0*u**4 + 0 - 1\/3*u + 0*u**2 = 0 for u.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**20*d)*d**8)**(-2\/31) assuming d is positive.\nAnswer: d**(24\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109435 + 119389 = -79*u for u.\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a kilogram in grams?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4269122 centimeters to kilometers.\nAnswer: 0.000004269122","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.2105 + -55.3095. Let p = 53 + r. Round p to one dp.\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(540)\/(sqrt(27)\/sqrt(3)*-3))\/((sqrt(144)\/sqrt(3)*2)\/(sqrt(20)\/sqrt(5)*-2)).\nAnswer: 5*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 520462 to the nearest integer?\nAnswer: 721","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 65160 to the power of 1\/3, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12.1676 - -0.0324. Let m = a + -8.5. What is the smallest value in m, -1\/8, 5?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d**(-1\/65)))**38 assuming d is positive.\nAnswer: d**(38\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - v = -2*v - 7, 3*v - 27 = -4*b. Solve -21 = -4*w - b*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1575*p**2 - 2471*p**2 + 1286*p**2 + 4*p - 4*p.\nAnswer: 390*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3852.0000003469 - 3852. Round h to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 j, and 1 u when three letters picked without replacement from {u: 3, y: 2, j: 6, x: 2, f: 5}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 456 and 1320?\nAnswer: 25080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum -133392735440 and 3.\nAnswer: -133392735437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -40252977.\nAnswer: 8050595.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m**2 - 7*m - 5. Let u be i(-4). Let l(y) = -y**3 + 6*y**2 + 5*y + 3. Let d be l(5). Which is smaller: u or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of -f**4\/4 - 14*f**3\/3 - 15*f**2\/2 - 19*f - 2. Let h be (-159)\/12 - (-5)\/(20\/(-3)). Is c(h) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 15 = -5*j, 3*j - j + 6 = -2*o. Suppose 3*w - 40 + 16 = o. Solve -x = 2*f + w, -3*x = 4*f + 10 + 6 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 26\/(-4)*(-8)\/(-4). Let k = -8 - c. Suppose 2*a = -5*v + 10 + 10, 5*a - 35 = -5*v. What is the highest common divisor of k and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -376*h**2 + 16*h + 368*h**2 - 16*h.\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 41663745829 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*o = m + 15*o - 876, 4300 = 5*m - 5*o. 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 c(i) = -i**3 + 14*i**2 - 13*i + 2. Calculate the remainder when 7 is divided by c(13).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10736 divided by 244.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*j + 456 = -10*j. Solve j = 9*i + 21 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 132599*y**2 - 44205*y**2 - 44224*y**2 - 44193*y**2.\nAnswer: -23*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -517, 3602, 17057, 44516, 90647, 160118, 257597?\nAnswer: 387752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g**3 + 3*g**3 - 5*g - 3*g**2 + 5 + 0*g + 2*g. Is k(4) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3014461 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12*(3 + (-26)\/(-6)). Calculate the greatest common factor of 11 and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - (-512)\/(-56) - (-48)\/(-7)) + (-250977)\/(-35765).\nAnswer: 2\/115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -1. Suppose 0 = -o*h + 3 + 48. What is the remainder when 30 is divided by h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -1420*i**2 - 12*i - 4. Let t(m) = -5*m**2 + 5*m + 1. Calculate -f(n) - 2*t(n).\nAnswer: 1430*n**2 + 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2044508 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2, -3, -12, -35, -78, -147, -248?\n\"Answer: -v**3 + 2*v**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p + 939*p**2 - 4*p + 2329*p**2 + 7*p.\nAnswer: 3268*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 431, -5512, -7 in decreasing order.\nAnswer: 431, -7, -5512","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8512*o**2 - 15787380 + 15787380.\nAnswer: 8512*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 4*x - x - 10 = 0, -x - 2 = -5*p. Let r(d) be the second derivative of p*d**2 + 0 - 2*d - 1\/6*d**3. Let t(a) = -a**2. Calculate r(t(c)).\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 - 3*c**2 - 2. Let t = -1 - 1. Let g be m(t). Is 4 + (-3)\/(g\/(-4)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 728\/45 - 82\/5. Let l be 2\/6 - (-10)\/(-15). Put -1\/8, l, x, 0.05 in decreasing order.\nAnswer: 0.05, -1\/8, x, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 65169278 by 2.\nAnswer: 32584639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/50265 and -23\/22340.\nAnswer: 201060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((g*g*g\/(g*g*g\/(g*g**(5\/7))))\/g)\/g)\/g)\/g*g)\/(g\/g**(-8))*g**(-3\/11)*g*g*(g**(-13)\/g*g*g)\/g assuming g is positive.\nAnswer: g**(-1660\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34267?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1686c7 - b?\nAnswer: -168705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 9 + 5)*(b + 1 - 1).\nAnswer: 13*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1572.914 millilitres to litres.\nAnswer: 1.572914","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c + 11*b - 12*b + 219 = 0, -5*b - 121 = 3*c for c.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 0, -5\/268, -1.96 in descending order.\nAnswer: 8, 0, -5\/268, -1.96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -238081?\nAnswer: -3\/238081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 149*c - 202 - 990 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -2\/9, -2.493, -4, -0.2 in ascending order.\nAnswer: -4, -2.493, -2\/9, -0.2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4947605, -9895253, -14842901, -19790549?\n\"Answer: -4947648*q + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 341318249 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2561 divided by -4?\nAnswer: 2561\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 112081340 and 2380?\nAnswer: 2380","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2898*w - 4. Let f be 80\/36 + (-2)\/9. Let r be s(f). What is r rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1802, -2\/5, -0.5 in ascending order.\nAnswer: -0.5, -2\/5, 5, 1802","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = r - 31, 5*r = -4*b + 38 + 12 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8029 and 434.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -126 - -271. Suppose 3*w - 1024 + j = 0. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*b - 6*b - 4*b - 2 + (2 + 1 + 0)*(5*b - 2*b - b) + 10*b - 5 + 5.\nAnswer: 11*b - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 5 - -2) + -13 + (-1 - -1)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -207*k + 297 + 72 = -459 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.02 + -0.01. Let j = y + 0.03. Let l be 6 - (-13 - -5 - -10). Which is the nearest to j? (a) -2 (b) 3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1048 = 7*h + 532 + 446 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.6 in -23, -18\/11, -99, -4?\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 251 (b) 11 (c) -0.1 (d) -66 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 - 39\/20)\/3. Let v(f) be the third derivative of 1\/12*f**4 + 0*f**3 + f**2 + 0*f + q*f**6 + 0 + 0*f**5. Find the second derivative of v(r) wrt r.\nAnswer: 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 4 - 1)*(-3 + 3 + h**4) - 4*h**3 + 9*h**4 + 4*h**3)*(-3*h - 2*h + 6*h)*(13 + 9 + 3).\nAnswer: 300*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1772 - -9?\nAnswer: 1780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - 0)*4\/40*2. Suppose -2*r + 6*r = 12. Solve -6 = r*d - u for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x - 1. What is s(9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 11*i**2 - 42*i + 11. Does 10 divide w(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/8 + (-6)\/24)*-9. Suppose -r*z = -0*z - 6*z. Solve z = -8*i + 11 - 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 2*f - 2 = 0, -5*g - 3*f = 8 - 38. Suppose -5*t - 313 = -g*k - 1793, -4*k = 3*t - 859. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*d*i**3 - 15*d*i**2 - 519*i**3 wrt d?\nAnswer: -4*i**3 - 15*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (54\/36)\/((-6)\/(-16))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.4 - 5.3. Let y = -6 + 1. Which is the nearest to q? (a) 3\/7 (b) 0.5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, -2\/19, 3\/4, 637, -31, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - y + 4*g + 6 = 0, -y + g = -3. Suppose 4*r - 3*r = -3*u + 8, y*u - 10 = 4*r. Factor 3*k**2 - 3*k**2 + k**2 - k + 4*k**u - 3*k**3 - 1.\nAnswer: (k - 1)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 177\/(-54))\/(-17) + (-2610)\/11745.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 + 5*g - 15. Let r be w(-8). Suppose -3*p = -27 + r. Is (3\/(-9) - 22\/p) + 1697 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-five halves of a centimeter?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 33, 2 in ascending order.\nAnswer: -14, 2, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 4*b**2 - 2. Let t(x) be the first derivative of -5*x**2 - 376. What is k(t(h))?\nAnswer: 400*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25355?\nAnswer: 5, 11, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -2 + 8. Suppose s*t = 5*t + 3, -2*z + 2*t + 8 = 0. Solve -f = 3*h - 3, z*h - 2*h = f + 1 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**10)**(-35)*((s*s**(-1\/4)\/s)\/s*s)**(-26) assuming s is positive.\nAnswer: s**(-757\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -4*u**3 + 1\/4 - 7\/2*u - 31\/4*u**2 = 0?\nAnswer: -1, 1\/16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95*w**3 - 64*w**3 - 603*w + 603*w.\nAnswer: -159*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 0.01 (b) 3\/5 (c) 5 (d) -1\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = 5*w + 39 - 131, 20 = w - 2*d for w.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -3, 140.92, -188.\nAnswer: -188, -3, -2\/3, 140.92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-one quarters of a century in years?\nAnswer: 2025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1122329 (base 14) to base 15.\nAnswer: aaed8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10.09 + 9.7. Let n = -0.01 + a. Sort 0.1, -2\/9, n in descending order.\nAnswer: 0.1, -2\/9, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m + m - 8*m)*(98 - 98 - 16*m + (-2 + 2 - 2*m)*(-5 + 2 + 2)).\nAnswer: 84*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1592689 is divided by 1183.\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -505c - 2?\nAnswer: -505e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5800, -46374, -156542, -371098, -724836, -1252550, -1989034, -2969082?\nAnswer: -4227488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 6) in base 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1135, 4238, 9423, 16696, 26063, 37530?\n\"Answer: b**3 + 1035*b**2 - 9*b + 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -225*h - 9855 + 2317 = 8212 for h.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of 2 + 0*f + 0*f**5 + 0*f**3 - 5\/6*f**6 + 0*f**4 - 1\/2*f**2. Find the second derivative of g(j) wrt j.\nAnswer: -100*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(126\/14)\/63?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + -6 + 3\/(-3 - 0). Let q be u + 5 - (1 - 4). What is the first derivative of -5 + 6*w**2 - q + 0 + 1 wrt w?\nAnswer: 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31456180 by 4.\nAnswer: 7864045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1356 (base 8) to base 5\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/(6\/(-10)))\/((-16)\/240). Let g = -47 + q. What are the prime factors of 7\/(28\/8)*g\/(-2)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (6 - 13) - (1 - 1) - -11?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 0.3884598 weeks?\nAnswer: 2.7192186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1460611080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1dd60 + -9?\nAnswer: 1dd56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 4. Suppose 2*t = -l - h*l + 1, 20 = -5*l + t. Find the common denominator of -89\/16 and (l\/(-15)*19)\/4.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4570.8 + -4569. What is the fourth biggest value in -1\/11, -2, -0.2, p, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 147420603 to the power of 1\/5, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3304796 to the nearest integer?\nAnswer: 1818","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of m**5\/20 + 5*m**4\/12 - 5*m**3\/6 - 2*m**2 + 23772*m. Suppose 0 = -4*z - v - 4*v - 4, -4*v + 16 = 0. Give n(z).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.029 in -1, -0.04, 5, 0.7?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 23, 35, 63, 113, 191, 303, 455, 653?\n\"Answer: z**3 + 2*z**2 - z + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -i*p**3 + 5*i*p**2 + 2*i*p - 9563*i + 20142*p**3 + 2*p**2 wrt p.\nAnswer: -6*i + 120852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 535179 - 77855 = 2*s. Suppose 0 = -7*v + 21*v - s. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 8. Let p be ((q - -7)*7)\/2. Suppose 3*d - 4*b = p, 4 - 1 = 4*d + 3*b. Solve 0*l - 9 = -d*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 4 = -3*m. Put 2, m, 10 in decreasing order.\nAnswer: 10, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1005734672 to the power of 1\/6, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1830541 rounded to the nearest one thousand?\nAnswer: -1831000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 - 4\/12*-9. Suppose q = w, 0 = 2*a - 5*a - 2*w + 35041. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*t**3 + 2*t**3 - 4*t**3)*(7*t + 5 - 5) + 6*t**4 + 6*t**4 + 5*t**4 in the form x*t + n + r*t**3 + q*t**2 + u*t**4 and give u.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/1298 less than or equal to -0.54636?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1460 is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 460656731.\nAnswer: 460656731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve w**5 - 74101*w**4 - 8682831*w**3 - 50096151*w**2 - 74143782*w = 0.\nAnswer: -111, -3, 0, 74218","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 140 and 8365.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7128247 to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 839987 is divided by 785?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -18*y + 22*y + 6*y**2 - 4*y**2 - 10*y. Determine j(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(100)\/sqrt(10)*-5 + -2*sqrt(1000) + sqrt(1000))\/(-1*sqrt(405) + sqrt(5) + (-3*sqrt(15))\/sqrt(3)).\nAnswer: 15*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -2*i - 0*i + 62, 2*i = -4*x + 58. Calculate the remainder when (46 - -10) + (-8)\/(-2) is divided by i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) 4 (b) -1 (c) -0.2 (d) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 0.039729 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-7 - 4) + 131 + -135.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/14168 and -61\/616?\nAnswer: 14168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1285741 or 1285752?\nAnswer: 1285752","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 2 - 5*u**4 + 27*u**2 + 7*u**4 - 31*u**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 239327706?\nAnswer: 2, 3, 39887951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(468) + (2 + sqrt(468))*3)**2 - 3*(sqrt(468) + 2)).\nAnswer: 270*sqrt(13) + 7517","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 871192842.\nAnswer: 2, 3, 13, 3119, 3581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -6*i**2 - 5*i + 39. Let g be u(2). Solve -g*z - 6 = -r - 3, -4*r + 12 = 4*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -42 + 41. Let b be (18\/63)\/(c\/(-28)). Suppose 0 = -b*m - 0*m + 5192. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-2) - (-5)\/(-2))*(-6)\/(-48)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 90*i*n**4 + 4*i*n**3 - 653*i wrt n?\nAnswer: 360*i*n**3 + 12*i*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 3*j**2 + 136*j - 854. Let x be s(6). Let u be 1*(0 + 28 + 0). Calculate the highest common divisor of u and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16906795 is divided by 252340?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -64 - -59. Let a = 33 - 32.6. What is the fourth smallest value in a, 4, 0.5, d?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-273)\/(-12) + 3\/12. Let z be x - (-1 - (0 + 0)). Let f(t) = t + 33. Let m be f(-28). Solve 0 = -4*i + q - 23, m*q - z = 4*i + 11 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6570 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 1\/7 (b) 3 (c) -14\/3 (d) -55 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/11)*x*((x\/x**(1\/5)*x)\/x)\/x)\/(x**(1\/3)*x*x)**(-5\/16))\/((x**0)**(-19)*(x\/((x*x**2*x*x)\/x))**10) assuming x is positive.\nAnswer: x**(82757\/2640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of 0*a**3 + 0*a - 1\/2*a**2 - 2 - 1\/72*a**4 - 1\/180*a**5. Let b(z) be the second derivative of u(z). Let b(l) = 0. What is l?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21778658?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 4*a - 4 = -0*k, -2*k - 4 = -a. Let u = -1.61 + -0.39. What is the biggest value in 3\/7, u, -0.5, k?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = t + 5*c + 12, -5*c = 4*t + 16 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -185 - 191 + 561 - 182 + 10*u**3.\nAnswer: 10*u**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/17 - 39016*o\/17 - 190281032\/17.\nAnswer: -2*(o + 9754)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 5893?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-37 + 45 - 12) + -17?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1333752*k**2 - 2*k - 4376883?\nAnswer: 2667504*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of 17*h**5\/15 + 20*h**4\/3 + 8*h**3 + 157*h**2 + h. Find v such that c(v) = 0.\nAnswer: -2, -6\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3293?\nAnswer: 37, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 30452317.7 rounded to the nearest one hundred thousand?\nAnswer: 30500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 51 + -29. What is the lowest common multiple of 94 and i?\nAnswer: 1034","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, b: 2, v: 4}. Give prob of sequence rb.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (348\/36)\/29*-12?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 149525820.\nAnswer: 2, 3, 5, 19, 43721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 933085?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(3300) + (sqrt(3300) - 2*sqrt(3300)) + sqrt(3300))*-2)\/(-1*(sqrt(539) + sqrt(539)*2*1 + sqrt(539))).\nAnswer: 30*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -54 - 60. Let d be h\/(-4) - (-18)\/12. Let n be 9\/(-12) - d\/(-8). Put 0, 2, n in ascending order.\nAnswer: 0, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 36, 15, -14, -51, -96, -149, -210?\n\"Answer: -4*v**2 - 9*v + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (100 - 47 - 57)*(3*d + 0*d - d + (-2*d + 4 - 4)*(1 + 0 + 1) + 2 - 2 - 2*d - 3*d + 2*d - d - 2 - 5 + 7 + 0 - 365*d) as a*d + x and give a.\nAnswer: 1484","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 33 = 4*h, 9*h - 23741*b = 4*h - 23726*b + 210 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 5384.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(441) + (-2*sqrt(441) - sqrt(441)) + sqrt(441) + sqrt(99)\/(-1*sqrt(11)))*-5)\/((sqrt(243)*-2*2 + sqrt(243))*-5).\nAnswer: 8*sqrt(3)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7.28 in 0, -1\/21, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 66 - 19. Suppose 4*b - 15 = 97. Let r = y - b. What are the prime factors of r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - -2. Suppose 0*t = -w*t + 60. Does 12 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 38*f**2 + 3*f**2 - 15*f**2 + (f**2 - 1 + 1)*(86 + 165 + 7) in the form b + y*f**2 + s*f and give y.\nAnswer: 284","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 26\/(-5)*(-40)\/16. Let q = i + -9. Suppose 0 = q*a + 4*d - 1 - 47, 2*a = 5*d - 11. What are the prime factors of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -8*w - 70. What is the remainder when 65 is divided by j(-13)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*d + 149*d + 3250 = 73*d for d.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 529*c**2. Let g(p) = 29*p + 3. What is g(v(d))?\nAnswer: 15341*d**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 893 + -892.7. What is the smallest value in -0.2, y, -0.02, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -13 (b) -6 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 3:37 AM?\nAnswer: 3:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -967, -1937, -2907, -3877?\n\"Answer: -970*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4545 + 4545.02193. Round p to four dps.\nAnswer: 0.0219","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -635*o**2 - 289*o**2 + 920*o**2.\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 43, -18, -1, -12, -3 in increasing order.\nAnswer: -18, -12, -3, -1, 3, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 14\/5 - ((-62)\/10 - -6). Let n = 11\/3 - 35\/9. Let i = 0.1578 + 0.0422. Which is the nearest to p? (a) -2\/5 (b) i (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -y - 5*p - 8, 0 = -y + 4*p - 141 + 142 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + 1 + -2*5\/10. Solve q - 1 = x + 3, 4 = 2*q + d*x for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 48\/13 (c) -2\/47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**4 + i**3 + i**2 - 1. Let j(g) = 4*g**4 - 12*g**3 - 20*g**2 - 13*g + 1. Let f(w) = 5*h(w) + j(w). Factor f(p).\nAnswer: -(p + 1)**3*(p + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 225937?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 2:21 AM?\nAnswer: 6:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 46a3 (base 15) in base 16?\nAnswer: 3a9b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21.719 + 0.119. Let w = -23.21 - o. Round w to 1 dp.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-30 - -21) + 9 + -6 + 8\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 816*h + 5 - 672*h.\nAnswer: -1488*h - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 192c (base 16) in base 15?\nAnswer: 1d99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 255414.\nAnswer: 2, 3, 42569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 237*u**3 - 3*u**2 - 26*u + 28. Determine i(1).\nAnswer: 236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 212720121?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -5*t - 184. What is a(-37)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -11*a + 10. Let p be q(6). Calculate the remainder when 54 is divided by (p\/((-16)\/(-4)))\/(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 144411 (base 6) to base 12\nAnswer: 8107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/((-49)\/(15507177\/(-36))*(-2)\/(-40)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 33*v - 13. Let h(l) = 24*l - 9. Let y(g) = -5*d(g) + 7*h(g). Suppose i = -7*j + 2*j - 8, -4*j = -5*i + 76. Suppose 0 = 2*t - 6*t - i. Calculate y(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 4*p + 12 = 0. Suppose -p*z + 6 = -l + 2*l, 0 = -3*z + 5*l + 16. What is the third derivative of 2*a + 8*a**5 - 2*a**2 - 2*a**z - 2*a wrt a?\nAnswer: 480*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -5138, -5141, -5148, -5159, -5174?\n\"Answer: -2*m**2 + 3*m - 5139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -7*y + 49. Let x be t(6). Solve 3*n - x = 8 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2291*g*m**2 - 2*g*z + 1056*m**3*z - 3*m**3 wrt z?\nAnswer: -2*g + 1056*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11748\/1246 + 352\/(-56).\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2. Let a(b) = -14906*b. What is x(a(w))?\nAnswer: 222188836*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1084, 2140, 3196, 4252, 5308?\nAnswer: 6364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/(-4) - 15\/4) + 5. Suppose -2*y = v*d - 34, -2*d + 4*y + 0*y = -22. Suppose -d - 5 = -w + 4*s, 0 = -w + 3*s + 21. Is 6 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 306350 is divided by 372?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2)*a*a\/a**5*(a*a**0)**(-12))\/((a**(-3\/8)*a)\/(a\/((a*a**(-1\/3)*a)\/a))*((a\/a**(1\/3))\/a)**(-1\/77)) assuming a is positive.\nAnswer: a**(-31963\/1848)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 3*f**3 - 2*f**2 - 2*f - 2. Suppose -y + 15 = 2. Let x(j) = 11*j + 2*j**2 - 2*j + 8*j**2 - y*j**3 + 9 - j**2. What is -9*p(w) - 2*x(w)?\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 239.\nAnswer: 956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-224)\/42*(-150)\/8.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9.656757 - 0.2.\nAnswer: -9.856757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1446*s + 5*g - 50 = 1449*s, 2*s - 3*g + 30 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 5*d + 3, 0 = -y + 4*d - 6 - 0. Suppose 5*o - 1 = 6*o. Let s = y + o. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2, -36, -0.1, -37293?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 348 = 308*k - 429*k + 17 - 274 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -129 times -0.2?\nAnswer: 25.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 816?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6595?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 11854.684 to the nearest integer.\nAnswer: 11855","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5734*z = 5706*z + 420 for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(104)\/(sqrt(32)\/sqrt(4)))**2.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23 + 26. Let t be (-8)\/(-2) - (-213)\/d. Suppose -79*z + 4 = -t*z. Solve 3*w + 10 = z for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74601254?\nAnswer: 2, 7, 13, 409897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11649 and 1059.\nAnswer: 11649","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 < -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*q = -19*q + 53. Is q a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - -47?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 2, 1.\nAnswer: -15, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 16467083207 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.011852563 rounded to four dps?\nAnswer: 0.0119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -11 - 39\/2925*-823\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 - 7*u**2 + 22*u + 1. Calculate the remainder when d(7) is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 72*m + 5567 - 146*m - 3763 + 9163 + 76*m in the form v*m + n and give n.\nAnswer: 10967","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t + 14. Let q be x(-10). Solve 0*o + o - 2*c = 11, q*o + 3*c - 11 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/9858023 or 0?\nAnswer: -1\/9858023","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 3 - 20 = 0. Suppose -4*k + i = -25. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 - -58. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -37.1152 + 32.91. Round t to two dps.\nAnswer: -4.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 2 r when four letters picked without replacement from {r: 2, d: 2, y: 1, f: 5, u: 1, a: 2}.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g - 4. Let d be r(-11). Let m(x) = x - 2*x**3 - 3*x**3 + 8 - 6*x**2 + d*x. Is m(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22 * -219.5.\nAnswer: 4829","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 186356?\nAnswer: 2, 46589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -64*-3\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 - 5*r**2 - 2*r + 3. Suppose 12 = 9*g - 13*g. Calculate n(g).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7345746817 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (-219577)\/(8\/16*-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 654341 (base 7) to base 3.\nAnswer: 12210220212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36068 is divided by 36058?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*q - 50*q + 26*q.\nAnswer: -59*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -20020001222122 (base 3) in base 4?\nAnswer: -30213222200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 100358.32 from 1777.\nAnswer: -98581.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6585318 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 t when two letters picked without replacement from {x: 2, t: 10, k: 1, c: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h + 3. Let j = 5 + -6. Let i be (2 + j)*(6 + 0). Let v(z) = -z + i - 3*z - 20. Give -14*g(t) - 3*v(t).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10170760?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -349, -699, -1049?\n\"Answer: -350*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -674 - -674. Which is the third smallest value? (a) -1 (b) 2.1 (c) 2\/55 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12515 + 12495 = -4*h - 5*y, -2*h - 5*y + 10 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*g + 4*g. Which is the second biggest value? (a) -1 (b) g (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -119a373 - -3?\nAnswer: -119a370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of -k**6\/90 + 7*k**5\/15 + 17*k**4\/18 - 74*k**3\/9 + 29*k**2\/2 - 822*k. Factor d(n).\nAnswer: -(n - 29)*(n - 1)**2*(n + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 12) in base 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (2 - (9 + -5)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1126321 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-14)\/(-56))\/(2 - (-30)\/(-16)). Let f(m) be the third derivative of 0 + 1\/6*m**3 - 1\/30*m**5 + 0*m + 1\/24*m**4 - 2*m**l. Determine f(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -6 - -6 - (-254)\/2. Suppose 5*a = v - 52. Solve 2*x + a = -x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -33 - -35. Suppose x*y + 3 = -5*p + 4*y, -2*p - 3*y - 5 = 0. Let r = p - -2. Put 20, 0.2, r in descending order.\nAnswer: 20, r, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 88501972 and 671?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from glqolqololoqm?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -868*m + 5203. Let x be d(6). Suppose -2*q + 2 = -3*j, -5*j - 36 = 3*q - 1. Which is the third biggest value? (a) -0.4 (b) j (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*t - 12*t - 4734 = 0. Suppose -4*g = -l - 3121, -4*l = 3*g - 5*g + t. What is the remainder when g is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -672 and -0.105.\nAnswer: -672.105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -27*r**3 + 11*r**2 - 1130*r + 17. Let l(y) = -5*y**3 + 2*y**2 - 226*y + 3. What is 11*l(j) - 2*t(j)?\nAnswer: -j**3 - 226*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 5246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1128016605?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3484 and 19.\nAnswer: -3465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mvo when three letters picked without replacement from {p: 3, m: 3, o: 3, t: 2, v: 2}.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/13 - 670116*c\/13.\nAnswer: 2*c*(c - 335058)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 0*p - 3 = -p, -2*p = -c + 9. Suppose -c*u + u = -54. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from sgkkyugygksyx?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c - x - 19 = 0, -5*c = 5*x + 1165 - 1210 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -6*q + 15. Suppose 0 = -5*i - 25, -q*j + 39 - 6 = 3*i. Solve 0 = -0*f + 4*f + j for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 40390414?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2336941?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1830\/(-264) + (7 - 1) + 9\/12?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1595)\/495 + (-2)\/(-9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 116 = f, -8 = -6*w + 2*w. What is the remainder when f is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 + 3*t + 8. Let q(p) = -3*p**2 - 9*p - 23. Let v(b) = 17*j(b) + 6*q(b). Give v(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-3))**(-2\/15))**(-34) assuming h is positive.\nAnswer: h**(272\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 83745 and 270.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-7 + (11 - 0))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13160.51 rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(0\/5 - -1). Suppose -6*d + 150 = -m*d. Calculate the remainder when d is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-25)\/4 + 3\/12. Let x(s) = s + 1. Let y(h) = -18*h - 15. Let p(i) = 9*x(i) + y(i). What is the tens digit of p(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 225895927?\nAnswer: 67, 113, 29837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3078.57 - -3078.6170029. Let s = u + -0.047. What is s rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32334553.\nAnswer: 32334553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**4 - s**2 + 1. Suppose -9*y = 235 - 271. Let x(p) = p**5 + 4*p**4 + 10*p**3 + p**2 - 11*p - 8. Let t(i) = y*x(i) + 12*v(i). Factor t(o).\nAnswer: 4*(o - 1)*(o + 1)**3*(o + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9742 is divided by 84?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, j: 3}. What is prob of picking 1 j and 1 x?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 747 - 262. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -122847534*r. Let n(d) = -d. Give z(n(u)).\nAnswer: 122847534*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13089 divided by -3.\nAnswer: -4363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i**2 - i + 7. Determine l(3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 take away 6108?\nAnswer: -6103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -45\/11, 3\/13, -3\/4, -0.4, 2\/19?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-5)\/(-1))\/((-20)\/(-8)). Which is the nearest to -1? (a) 1 (b) f (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(50) - 3*1*sqrt(50) - (sqrt(550)\/(sqrt(11)*-1) - sqrt(50)) - sqrt(300)\/(1*sqrt(294) + sqrt(6) + sqrt(6)).\nAnswer: -5*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18534 is divided by 924.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**2 + 4*y**2 + 0*y**2)*(-578 + 3927 + 1185 + 2020 - 561).\nAnswer: 11986*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217813848 is divided by 54453459?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 393, -96, 3, -3, -109 in increasing order.\nAnswer: -109, -96, -3, 3, 4, 393","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2)\/s)**(-6\/23)*(s\/(s*s\/(((s*s*s**17)\/s)\/s*s*s))*s)\/(s\/(s**(-2\/15)*s)) assuming s is positive.\nAnswer: s**(6779\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 131968, 131965, 131962, 131959?\nAnswer: 131956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -3*n + 56. Suppose 5*t - 16 = -2*p + 18, -2*t = -3*p + 51. Let z be g(p). Let k(j) = z*j + 10 - 5*j**2 - 9 + 4*j**2. What is k(7)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -4*p + 18. Suppose 0*j - 4*j = -p. Let h be (j\/4*-6)\/(-4). Which is the second smallest value? (a) h (b) 2\/3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 62808 = -2*o, 51*o - 54*o = 12. Is g a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-9)\/(-84))\/(-3))\/(40\/(-140)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 52, -4, -33, 0.059?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 597*r + 6594. Let f(u) = -u. Give f(t(k)).\nAnswer: -597*k - 6594","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (19 + -16 - (-40 + 4))\/((-5)\/(20\/3))?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 13. Suppose -d*s = 5*a - 23 + 3, 3*s - 2*a = 2. Let c be 10\/(-2) - (-1 - s). Put -5, 4, c in increasing order.\nAnswer: -5, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1017014939?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -733 + 3625. Suppose v + 792 - z = 0. Round v to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65.35437 minus -0.06?\nAnswer: 65.41437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 10 - 29)*(d + 24*d + 0*d)*(4*d**2 - 5*d**2 + 3*d**2 - 1).\nAnswer: -850*d**3 + 425*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of y**5\/10 + y**4\/12 - 2*y**3\/3 - 2*y**2 - 21*y. Let h = -23 + 27. What is the tens digit of f(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21084986 - 21086470 = 14*x for x.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -125 + 3123\/25. Let u = -0.2 - 0.8. Put 4, u, t in descending order.\nAnswer: 4, t, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 56.7 - 100.4. Let o = 44 + y. Suppose 9 + 3 = 3*w. What is the nearest to -2 in 2\/7, o, w?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -76 + 1553*c - 446*c - 1215*c**2 + 76 wrt c?\nAnswer: -2430","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -12, -1, 12, 27, 44?\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z**3 + 4*z**2 - 3*z + 5. Give p(4).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 306607000 rounded to the nearest one million?\nAnswer: 307000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 2*s = 10, 2*n + 3 - 7 = -2*s for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143 is divided by 90.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02 * 0.0382.\nAnswer: -0.000764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*f**5\/2 + 51*f**4\/2 - 28419*f**3\/2 - 1121427*f**2\/2 + 3744576*f - 5806080 = 0. What is f?\nAnswer: -64, 3, 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8016 = 3*r + 5*t, 178*t = 180*t + 6. List the prime factors of r.\nAnswer: 2677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 81 + 1641 = -4*f, 4*g - 2080 = 5*f. Suppose 7*m = 3*m + 4*x + g, -x = 4*m - 500. Suppose -3*z + 330 = m. Is 34 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2318*h*k**2 - 3*h*k - 65*h - 2*k**4 + k - 5 wrt k.\nAnswer: 4636*h - 24*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 587 is divided by 33.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 53, 84, 99, 92, 57, -12?\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -975*k**3 + 975*k**3 - 28*k**4 + k**4 + k**4 - k**4 + (k**4 + 3*k**4 - 3*k**4)*(-4 + 0 + 2).\nAnswer: -29*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 167930713?\nAnswer: 167930713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 612323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2112)\/(-2 - 1) - 1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3 (b) -7 (c) 5\/7 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2\/27))**(-1\/35)\/(w**(-2)*((((w**(-29\/3)\/w*w*w)\/w*w)\/w)\/w)\/w))**(-4\/21) assuming w is positive.\nAnswer: w**(-51668\/19845)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.181252896 to 2 dps.\nAnswer: -4.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a**3 + 21*a**2 - 25*a - 15. What is l(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-372 + 183 - 308*o + 189)*(-470*o - 9*o**4 + 470*o).\nAnswer: 2772*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q + 2*q - 24. Let y = 23 - q. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002380752577 to seven decimal places.\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.6987446 + -72?\nAnswer: -67.3012554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 20 = 5*k + 16, 4*k - 25 = 4*w + 47 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 565, 1135, 1705?\n\"Answer: 570*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12*x + 19*x + 8*x**2 - 35*x)*(-2 - 11*x - 21*x - 12*x) to d + s*x**2 + t*x**3 + g*x and give t.\nAnswer: -352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 PM and 4:54 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -41 - -43.3. Let z = 2 - x. Put z, 0.5, -17 in descending order.\nAnswer: 0.5, z, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*p - 9 = -3*w + 31*p, -6 = -2*w + 4*p. Suppose 0 = -b + u, 5*b - 3*u = -7*u + 9. Solve -w = f + b for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2511 - 1271. What is the hundreds digit of (0 - h)*(-5)\/(-25)*-4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*(m\/((m**(-2\/13)*m*m)\/m))\/m*m*m*m)\/m)**(11\/5) assuming m is positive.\nAnswer: m**(451\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 840.188 decades?\nAnswer: 100822.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27 - (18 + -67)) + -4.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 211 + -190. Calculate the remainder when v is divided by 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 67*p + 1. Let a(f) = 5*f**2. Give a(z(t)).\nAnswer: 22445*t**2 + 670*t + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -265 in -4, 1, 0, -1\/5, -0.378, -2\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of i**4\/6 + 6*i**2. Let j(g) = g. What is w(j(q))?\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -624*h**2 + 328*h**2 + 293*h**2 + 3*h - 43 - 3*h.\nAnswer: -3*h**2 - 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22\/(440\/(-1816110))*(-2 - 24\/(-18)).\nAnswer: 3, 17, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppppipiii. Give prob of sequence pp.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1e8ce2 (base 16) to base 13.\nAnswer: -551403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -93 + 39 + 39 - (-70 + 4)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 227568?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - -8) + 2 + 0\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 4\/3, 1\/7, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttih when four letters picked without replacement from thtibbtt?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 543 = 5*u + t + 530, -17*u + 2*t = -109 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2097850 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 3)*(-3*o - o + 3*o) + (-3 - 2 + 4)*(-2 + 2 + 2*o) - 4*o + o + o.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 72225524 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.3 and 1497.091425?\nAnswer: 1497.391425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7\/4 in -5, -38, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-104)\/(-10)*35\/14 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 - (-2)\/1 - -5. Suppose -p + 4*o = 4*p - 15, 4*o = -p + l. What is the remainder when 51 is divided by (-1)\/((-114)\/(-39) - p)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -68896, -137461, -206026, -274591, -343156?\nAnswer: -411721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, -26, -61, -108, -167, -238, -321?\nAnswer: -416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-28)\/35 - 0) + 20\/25. What is the nearest to -0.5 in 0.2, -0.5, -0.4, i?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 + 10*x + 13. Calculate r(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 17.36 and 6.\nAnswer: 23.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*c**3*t**3 + 82*c*t**3 - 223*t**3 wrt c.\nAnswer: -9*c**2*t**3 + 82*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 848 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 s be (-2)\/(7 - -369)*(-42)\/2849. Is s equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -3 (c) -24741\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 11:17 AM?\nAnswer: 2:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1581 is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p. Let n be b(5). What is the units digit of -3 + (27 - (n + -3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((104520\/273)\/67)\/(4\/42)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**2\/9 - 2588*a - 645120 = 0.\nAnswer: -23040, -252","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(1 + 6\/(-4)). Calculate the remainder when (-1)\/t - 1005\/(-12) is divided by 42\/(-38) - -1 - (-76440)\/3458.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - x - 3)*(16 - 6*x**4 - 16).\nAnswer: 6*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 1480076?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 3*k + 5. Let b(i) be the second derivative of -i**3\/6 - i**2 - 28*i + 1. Calculate 5*b(o) + 2*g(o).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 16*c**2 + 68*c + 5. Give b(-5).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-40) - 9\/15. What is the second biggest value in -0.97, -0.3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 22, 10, -34, -122, -266, -478?\nAnswer: -770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 82*v - 2845. Let w(x) = -29*x + 947. What is 6*l(i) + 17*w(i)?\nAnswer: -i - 971","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.03 + -1.97. Let h = 4 + -4.3. Let y = h + -0.7. Which is the closest to y? (a) 0.5 (b) -3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33571 less than 3?\nAnswer: -33568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, 2, -4, -1\/33085?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -7*(6\/9)\/(168\/(-972)). Let l(h) = -h**3 + 9*h**2 - 6*h + 9. Let y be l(6). What is the greatest common divisor of y and v?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22309 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*n**5 + n**5 + 2*n**5 + (-6*n + 0*n + 2*n)*(3*n**4 - 6*n**3 + 6*n**3).\nAnswer: -13*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 987691 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 - 3*z**2 - z + 2. Let p be a(3). Let f be (2\/(-20))\/(p\/4). Which is smaller: -1 or f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(171) - -1*sqrt(171)) + -5 + sqrt(171)*2)**2 + (2 + sqrt(171) + sqrt(171)*-1)**2 + -4.\nAnswer: -216*sqrt(19) + 2817","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 204 in -6, 3, -1\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/9? (a) 5\/6 (b) -2 (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*m = 12*m + 9. Suppose m*j + 4 - 10 = 0. What is the highest common factor of 16 and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 722018, 1444127, 2166330, 2888627, 3611018?\nAnswer: 4333503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 9:32 AM?\nAnswer: 8:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1470 - -1473. Solve -q*w = 4*z, 0 = 3*z - 5*w + 5 + 24 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2181 + -2179. Which is the third biggest value? (a) g (b) 8 (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03 * -531756.\nAnswer: -15952.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 10:31 AM?\nAnswer: 2:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 288 = x. Suppose -2*u + 33 = 9. What is the highest common divisor of x and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of y**8\/6720 - y**6\/360 - y**4\/24 - y**2. Let j(b) be the second derivative of x(b). Find the second derivative of j(s) wrt s.\nAnswer: 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 822606 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 35 + -29. Suppose d = 3*q - q. Put -1, 4, q in descending order.\nAnswer: 4, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 282 to the power of 1\/2, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 - d - 2. Let p = 1\/23 - -67\/46. Let a(w) be the first derivative of 6*w + 0*w**3 - 3\/4*w**4 - 2 + p*w**2. What is 3*a(j) + 8*g(j)?\nAnswer: -j**3 + j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.3 (b) 1 (c) 217 (d) -5 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-55 - (-119 + 74)) + (0 - -146).\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u**(1\/4))**(1\/36))**(9\/5)*(u*u*u**6\/u*u)\/u*u\/(u\/u**(-1))*u*u**(1\/5)*u\/((u**(-4\/7)\/u)\/u)*u assuming u is positive.\nAnswer: u**(1331\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 0*j + 433 = j, -284 = -2*i + 4*j. Let o be (-240)\/100*140\/(-21). What is the greatest common factor of i and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -1, -0.2, 43 in ascending order.\nAnswer: -11, -1, -0.2, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j + 12. Let c be v(6). Let r be (-147)\/6 - (-1)\/2. Let i = 33 + r. What is the greatest common factor of c and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u**3 - u + 1. Let g be s(1). Calculate the common denominator of -3\/4 and (g\/12)\/((-8)\/236).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 24467, 24508, 24613, 24812, 25135, 25612?\n\"Answer: 5*z**3 + 2*z**2 + 24460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 233137.\nAnswer: 37, 6301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*6*(-2 + sqrt(208) + sqrt(208) + 1 + sqrt(208)))**2.\nAnswer: -31104*sqrt(13) + 2427408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22199.\nAnswer: 79, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -4, -0.5, 2, -2\/11 in decreasing order.\nAnswer: 2, -2\/11, -0.5, -2\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 3*s**3 - 4*s**2 + 4*s - 2. Let p be m(2). Let w = 20 - p. Is (-1)\/w - (-1958)\/12 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -v**4 - 772536*v**3 + 3090157*v**2 - 2317620*v = 0.\nAnswer: -772540, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 + 9*a**2 + 250*a + 1413. What is x(-6)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 6:39 AM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 754 - 759. Which is the closest to -0.47? (a) -1 (b) x (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -11*u - 37 + 62*u - 22*u - u**2. What are the prime factors of j(25)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82262543 to the power of 1\/4, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 PM and 1:48 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25160776.\nAnswer: 2, 3145097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -52 by 52.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26 + 28. Find the second derivative of s*z**4 - 5*z**4 - 5*z**4 - 7*z wrt z.\nAnswer: -96*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (-18 + (-3 - -9))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 2 = y. Let q be (y - (-4)\/8)*-4. Solve q*w = 4*s + 24, -3*s + 5*w = s + 30 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15992 (base 15) in base 3?\nAnswer: -10112120002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 38.64 + -38.14. Sort s, 0.1, -16\/3, -1\/4 in decreasing order.\nAnswer: s, 0.1, -1\/4, -16\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a litre in millilitres?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -407, -814, -1221?\nAnswer: -1628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19242590659 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.866 times -42?\nAnswer: 36.372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 73799.61 weeks?\nAnswer: 44634004128000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 1274?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -78604*q + 1. Let w(o) = -7*o. Calculate w(r(u)).\nAnswer: 550228*u - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171*f - 169*f = 46 for f.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjtjjjjjjj. What is prob of picking 1 t and 3 j?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47, 20, -33, -118, -241, -408?\nAnswer: -625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-3\/5)*(k**33*k)\/k*k*(k*k*k**13)\/k*k\/k**(-22))**1 assuming k is positive.\nAnswer: k**(357\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.047 + -0.047. What is the second biggest value in -2, 14, u, -0.3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4647287?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 87056646 times 4\nAnswer: 348226584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-27872)\/73164)\/((-6)\/(-3)*(-1)\/(-3)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 2)*(-2*x**4 + 2*x**4 + x**4) + (x**3 + 0*x**2 + 0*x**2)*(19*x - 6 + 6).\nAnswer: 18*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q + 35*q - 5*q.\nAnswer: 32*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/((b**2\/b)\/b)*b)**(20\/3))**(-16\/3) assuming b is positive.\nAnswer: b**(-320\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(343) + 5 + sqrt(343) + 1*sqrt(343) + 5)**2*1.\nAnswer: 420*sqrt(7) + 3187","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 + 11*m**2 - 24*m - 9. Let g be y(4). Is 26 a factor of 4039\/g + 2 + -3 + 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of -2*p**5\/35 + p**4\/14 - 171. Find m, given that d(m) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -8 + 15 + (3 - 5)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1208914*-0.3\nAnswer: -362674.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -63569*k + 34. Suppose 3*p = 3*t + 4*p + 44, -2*t - 32 = 2*p. Let y be v(t). Round y to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 222 by 6.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 60 = -4*r. Suppose -2*g - 28 = -8. Let o = 170 + g. What is the highest common divisor of o and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 323308 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -4\/121?\nAnswer: -4\/121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - f + 6*f = -36, 3*g - 2*f - 20 = 0. Find the third derivative of 8 + 5*z**2 - 8*z**g - 8 - 10*z**4 wrt z.\nAnswer: -432*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14786, -20635, -26492, -32363, -38254, -44171, -50120?\nAnswer: -56107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v + 281. Let z(c) = 3*c + 2956. Calculate h(z(f)).\nAnswer: 6*f + 6193","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in -2\/17, 2\/9, 2\/97?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -176 - -100. Let u = 75.9999598 + d. What is u rounded to six decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f + 7. Let b be g(-4). Let v be -4 + 15\/5 + b. Suppose t + 4*s = -t + 102, 2*s + 96 = v*t. List the prime factors of t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i - 9. Calculate the least common multiple of 8 and x(-14).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -158.89 + 158. Let i = -0.96 - k. What is the second biggest value in 2, 3\/2, i?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c + 23. What is the remainder when 43 is divided by v(4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v**5\/3 + 788*v**4\/3 + 718*v**3 + 1984*v**2\/3 + 608*v\/3 = 0. Calculate v.\nAnswer: -76, -1, -4\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 + 1. Let s be u(-1). Let z be s + 0 + 2 + 18. Calculate the greatest common divisor of 60 and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-12))\/((-12)\/(-8))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 PM and 2:10 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 770, 1527, 2268, 2987, 3678, 4335?\n\"Answer: -g**3 - 2*g**2 + 770*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 447*t**3 + 268*t**3 + 10*t**3 + 61*t**3 - 72*t**3 + 640*t**3.\nAnswer: 1354*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n + 2. Let m(j) = -34*j + 5. Calculate m(w) - 3*u(w).\nAnswer: -31*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4730964 divided by 2.\nAnswer: 2365482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8010 divided by 8010.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h + 3. Let y be g(-4). Find the third derivative of 4*s**3 - 9*s**3 - y*s**2 + 10*s**3 + 2*s**3 wrt s.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 8) + -19 + 30.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -27\/8 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 17*h**3 - 2*h**2 + 13*h + 13. Let l be (-2)\/(-5) + 96\/(-15). Let p(j) = 8*j**3 - j**2 + 6*j + 6. What is l*v(z) + 13*p(z)?\nAnswer: 2*z**3 - z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 42477826, 84955653, 127433480, 169911307?\n\"Answer: 42477827*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19 - -21. What is the derivative of -5 + 5*h**v - 11 - 16*h**2 - 2 wrt h?\nAnswer: -22*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-34)\/(j\/(j*j**(20\/9)\/j)*j) assuming j is positive.\nAnswer: j**(-304\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.64 - -26.86. Let x = n + -27. Suppose 6 = -7*w - 8. Put -11, w, x in increasing order.\nAnswer: -11, w, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 721702 divided by 1.\nAnswer: 721702","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -560*u**2 + 3295*u - 2735.\nAnswer: -5*(u - 1)*(112*u - 547)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3051.\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 15\/10*4\/6. What is the units digit of -3*3\/(-9)*x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 4*y**2 - 13*y - 5. Let z be m(11). What is the greatest common factor of 21 and z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 + (27 - 17 - -6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*30\/36*(-224368)\/11370.\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-62)\/(-4))\/((-5)\/(-10)). Let j = -27 + x. Solve 2*n = j*n + 6 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 376, 786, 1194, 1600?\n\"Answer: -s**2 + 413*s - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 y when two letters picked without replacement from {y: 6, v: 2}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 4*x**3 + 20*x**2 - 88*x + 64 = 0.\nAnswer: -8, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -209 + 205. Which is the third smallest value? (a) 1 (b) -20 (c) -1 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5509*z + 4985*z + 14079*z as q*z + s and give q.\nAnswer: 13555","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/3 - (1 + 0). Suppose d + 1 = -4*c + 6*d, -5*c + 2 = -3*d. Let h = 7\/11 + -5\/11. What is the closest to q in 2\/3, c, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 plus 4?\nAnswer: 4.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, 4, -0.3, -43.\nAnswer: -43, -0.3, 3\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 38 = -4*b - 0*b, -4*b + 5*p + 42 = 0. Let x = 10 - b. Find the second derivative of -21*r**2 + 8*r + 18*r**x + r - 4*r wrt r.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -4 (b) 0.02 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111 is divided by 64?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -8 + a**2 - 2*a**2 + 5 - 6. Let q(r) = 5*r**2 - 26*r - 24. Let p be q(6). Calculate m(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -120, -338, -758, -1482, -2612?\nAnswer: -4250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 131*x**3 - 3*x**2 - 2. Let j(a) = -264*a**3 + 7*a**2 + 5. Calculate -5*i(l) - 2*j(l).\nAnswer: -127*l**3 + l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of -s**3\/6 - 3*s**2 - s. Let b(m) = -2*m - 11. Give -4*b(z) + 7*i(z).\nAnswer: z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.3 + -1.3. Let q be (-2)\/3*3\/5. Let f = 3\/98 - 205\/294. Sort q, d, f in descending order.\nAnswer: d, q, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -6. Let t = 2.3 + x. Let b = t + -0.5. Which is smaller: 2\/7 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*a + 228718 = -18808. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, j: 1, r: 1, g: 1}. What is prob of picking 1 r and 1 g?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2116*y - 23268. What is b(-11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -7 (b) -1 (c) -2\/11 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1370.296 to the nearest 10.\nAnswer: -1370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32552012 and 10?\nAnswer: 162760060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.30605 + 0.09605. Sort 1\/14, -3, t, 3\/4.\nAnswer: -3, t, 1\/14, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15697.709 + -401.\nAnswer: -16098.709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dgo when three letters picked without replacement from dddddgdgodgdg?\nAnswer: 8\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 5*n + 2*n**4 - n**3 - n**4 + 4*n - 10*n in the form k*n**2 + u*n**4 + s*n + j + f*n**3 and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.0897 - -0.1. What is t rounded to 4 decimal places?\nAnswer: 0.0103","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27680 - -29986. What are the prime factors of a?\nAnswer: 2, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*v - 4*v + 0*v)*(-v**2 + 2*v**2 - 2*v**2) - 12*v + 12*v + 4*v**3 + 2*v**3 - 5*v**3 + v**3 to the form f + m*v**2 + y*v + t*v**3 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 19 (b) -5 (c) -4 (d) 3\/2 (e) 5\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 8614\nAnswer: -2584.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 674955.\nAnswer: 3, 5, 53, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -16079\/729 not equal to -22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 284 and 23501.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 20*s**4 + 217145*s**3 - 1031860*s**2 + 326085*s + 2443950 = 0.\nAnswer: -10862, -5\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j + 61. Let z(f) = 63. Let s(o) = -3*q(o) + 2*z(o). Let u be s(-16). Which is greater: -14 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0 from -4213779951.6931.\nAnswer: -4213779951.6931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 697041666 to the nearest integer?\nAnswer: 26402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**5\/3 - 1132*g**4\/3 + 378*g**3.\nAnswer: -2*g**3*(g - 1)*(g + 567)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-1*20\/60)\/(30\/126)\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15847 - -15896. Solve 14 = r*w - 47*w for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 g, and 1 b when three letters picked without replacement from {x: 3, b: 1, w: 2, n: 4, g: 6}.\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 183.29 - 332.29. Which is bigger: -2\/7 or a?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) - (sqrt(117) - 2*sqrt(117))*-1)\/(sqrt(18)\/(sqrt(128) - sqrt(2))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 13\/5 - (-15 + 18). Put -4\/3, -1, y in increasing order.\nAnswer: -4\/3, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3530 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 133*q - 64*q - 70*q.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 64 - 7.4. Let y = -56.58404 + f. What is y rounded to 3 decimal places?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-1\/3))**(4\/37)*l\/(l\/(l*l\/(l*l*l**(2\/13)\/l)*l))*l**(3\/8) assuming l is positive.\nAnswer: l**(27305\/11544)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 131 + -122. Solve -6*x + 4*x + c = 5*h, -2*x = 2*h for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2499239.\nAnswer: 37, 67547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26619 and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.71111 - 1.71. What is i rounded to 4 dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s**2 + 4*s. Determine y(-3).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 12*z + 9. Let g be q(-3). Let r be 27\/g + 0\/2 + 4. Suppose -6*b + 4*b = -4*t + 32, 2*t - 2*b - 20 = 0. What is the highest common factor of r and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(99) + (1*sqrt(99) - sqrt(99)))*5 + -4*(sqrt(99) + 1) + -5*(sqrt(99) + 1 + sqrt(99) + -2))**2.\nAnswer: 8019","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/103 >= -2903?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -34 + 36. Let h = 0.994 - 5.994. What is the closest to -0.4 in h, b, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from murrqmoquouzouq. What is prob of sequence zqr?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 347489 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.71 less than -10810?\nAnswer: -10816.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**3 + 879*y**2 + 33162*y + 62784.\nAnswer: -3*(y - 327)*(y + 2)*(y + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2707 - 277 = 6*f. Suppose 5*h = f + 150. Let r = h - 111. Solve r = -2*o - 4 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(65)*-1)\/((sqrt(5) - -1*sqrt(5))*-5 - sqrt(5)).\nAnswer: -2*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 67\/(-201)*(-9)\/8\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -72, -72, -74, -78?\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 61389 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -465065, -930106, -1395145, -1860182, -2325217?\nAnswer: -2790250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -1)\/(((-122)\/(-15799))\/(2\/14))\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 151 = -5*n, 4*k - n - 232 = -8. Suppose -p - k = -4*p. What is the remainder when 72 is divided by p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146*q + 47*q + 1330894349 = 242686349. What is q rounded to the nearest 100000?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ugawlhg. What is prob of picking 1 h and 1 l?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 149*u**3 - 4*u**2 + 2*u + 1. Is k(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 7*u**3 + 5*u**2 + 3*u - 13. Let g(a) = -13*a**3 - 10*a**2 - 5*a + 25. Let o(k) = -6*g(k) - 11*z(k). Give o(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of -f**6\/480 - f**5\/4 - 19*f**4\/32 + 59*f**3\/12 + 3972*f**2. Suppose z(g) = 0. Calculate g.\nAnswer: -59, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 280387.9114 to the nearest 10000.\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v - 16 - 2 = 0. What is the closest to v in 0, -2\/3, -5, -6?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -538144*m**4 + 169*m**2 + 364256342 with respect to m.\nAnswer: -2152576*m**3 + 338*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 728.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (22 - 3)*(-2 + 1). Let x(p) = -2*p. What is the units digit of x(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*2\/(-30)*5.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -100, -202, -304, -406, -508, -610?\nAnswer: -712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkk. Give prob of sequence kk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a litre in millilitres?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of w**4\/12 + 5*w**3\/6 + 7*w**2\/2 + 20*w. Give k(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -3\/16, -2, 15, 34?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/27? (a) -2\/399 (b) -165 (c) -0.05 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2329, 3152, 3975?\nAnswer: 4798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3239028 divided by -2106.\nAnswer: -1538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -929, -923, -917, -911, -905, -899?\n\"Answer: 6*w - 935","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -122 + 101231110120?\nAnswer: 101231103332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.5 and 1704178.\nAnswer: 1704177.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -498139, -1992112, -4482065, -7967998, -12449911, -17927804, -24401677?\nAnswer: -31871530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o**5\/4 + 4330161*o**4\/4 - 781250353863*o**3\/2 - 8593974732087*o**2\/2 - 29688379484511*o\/4 - 14062935058227\/4 = 0. What is o?\nAnswer: -9, -1, 721699","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 13 = 2*b, 3*n - 5*n - 18 = -2*b. Solve -2*y + 3*w + 11 = -3*y, -2*y - 14 = b*w for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4 and -3751723772542.\nAnswer: -3751723772538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2990*f**3 + 2595*f wrt f?\nAnswer: -17940*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -85 + 239. Suppose -21 = z - n. Suppose -z = -5*u + 322. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 19*a - 9*a - 7*a + 3 + 2. Determine t(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 649 and 4071.\nAnswer: 44781","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s*s**(7\/5)))\/s**(1\/3) assuming s is positive.\nAnswer: s**(-41\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -109\/4 + 28. Let z = 19 - 10. Let r = -14 + z. Which is the third smallest value? (a) q (b) r (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -315 + -1025?\nAnswer: -1344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.3 - -0.3. Let c(v) = -7*v**2 - 32*v + 7. Let b be c(-6). Sort -1, b, d, 4 in ascending order.\nAnswer: b, d, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 42 = 3*w. Is 25\/2 less than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 932?\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (114\/(-240) + (1634\/3440 - 3\/5))*1\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 8833.335 millennia?\nAnswer: 883333.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7305480.9 rounded to the nearest one thousand?\nAnswer: 7305000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -511, -598, -713, -856, -1027, -1226?\nAnswer: -1453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.5 + 1.4. Which is smaller: 4 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 AM and 10:07 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -3 + -7 - -4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 304026, 304016, 304006, 303996, 303986, 303976?\nAnswer: 303966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 176541, 354684, 532827?\nAnswer: 710970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -3*m**2 - 7*m - 6. Let q(d) = d**2 + 2*d + 2. Suppose -21 = -3*v - 42. Calculate v*q(l) - 2*u(l).\nAnswer: -l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -4*b - 28. Let d be u(-8). Sort 0.2, d, -1\/7 in decreasing order.\nAnswer: d, 0.2, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -110*l**2. Let q(b) = 55*b**2. What is 3*h(r) + 7*q(r)?\nAnswer: 55*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 202 divide 365311748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (31 + -18) - -11.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6146, 6130, 6114, 6098?\nAnswer: 6082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*c**2 - c**2 - 2*c**2)*(14*c**3 - 29*c**3 + 8*c**3) - c**2 + c**5 + c**2 + (0*c**3 + c**4 + 0*c**3)*(0*c - 2*c + 4*c).\nAnswer: -18*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1005 a factor of 35175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 - 2*w**2 - 3*w + 1. What is the smallest common multiple of x(-2) and 4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 9) to base 16.\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6360 = -184*y + 714*y for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 472 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 2*d = -2, -92 = -12*k - 241*d + 249*d for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiqqiqiqcc. Give prob of picking 2 q.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2020 (base 4) to base 2.\nAnswer: 10001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/9 (b) -2\/27 (c) -0.12 (d) -4 (e) -783\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 5*k - 32, -2*z - 14 = -2*k + 4*k. Let y = 4 - 4.25. Let r = y - -0.05. Which is the closest to r? (a) -2 (b) z (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 132 and 4059.129.\nAnswer: 535805.028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 - 24*i + 46. What is the remainder when x(-23) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 654.9749 hours in microseconds?\nAnswer: 2357909640000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 17*t = -20*t - 1230, g - 5*t = -218. Let s = g - -378. Calculate the highest common divisor of s and 189.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, -1924, 0, 4 in decreasing order.\nAnswer: 4, 1, 0, -1, -1924","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 4*k + 2 = 0, -10*k - 7 = -5*u - 7*k. Suppose 0*j = u*j - 2878. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3022 = -350*y - 584*y - 220. What is m in -4\/3*m + 4\/3 - m**2 + 2\/3*m**y + 1\/3*m**4 = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f - 3. Let l(q) = 9. Let b(v) = -20. Let p(n) = 4*b(n) + 9*l(n). Give -c(d) - 2*p(d).\nAnswer: -2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55, -46, -17, 44, 149, 310?\nAnswer: 539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**4 + x**4 + 2*x**2 - 5*x**4 + (4*x - 7*x - x)*(-4*x**3 + 3*x**3 - 2*x**3).\nAnswer: 10*x**4 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*i**3 - 19*i**4 + 11*i**4 + 7*i**4 + (-1 + 2 - 4)*(4*i - i**4 - 4*i) as r*i**2 + x + o*i**3 + y*i + q*i**4 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 6) in base 12?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -221 or 1724.51?\nAnswer: 1724.51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -7547*o - 4388*o - 2550*o + 3595*o in the form n + k*o and give k.\nAnswer: -10890","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1378 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 639.5991 milligrams to kilograms.\nAnswer: 0.0006395991","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l**2 + 24582*l - 73730. Give y(3).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(605)*3 - (sqrt(605)*3 + sqrt(605))*-1) + ((sqrt(1080) - 3*sqrt(1080)) + sqrt(30))\/(-2*sqrt(864)))**2.\nAnswer: 1859*sqrt(5)\/3 + 17288621\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -130*n + 12*n**2 + 130*n as r*n + z + c*n**2 and give c.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l + 8. Let n(a) = -a - 5. Let w be n(4). Let f = w - -10. Let k(m) = -m + 1. Let b(r) = f*i(r) - 3*k(r). What is b(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -4*b - 12. Calculate q(3).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1488943341 to the nearest integer?\nAnswer: 38587","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 10 - 8*s - 23*s.\nAnswer: -31*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -536*u**3 - 510 with respect to u.\nAnswer: -1608*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 - -3.1. Let f = -0.2 + 0. Let q = f + 0.6. Which is the third biggest value? (a) w (b) q (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of -r**6\/660 + r**5\/110 + r**4\/132 - r**3\/11 + 13*r**2. What is s in f(s) = 0?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three eighths of a century?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/40 and -3\/65.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1024204 (base 5) to base 14.\nAnswer: 64cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87955.\nAnswer: 5, 7, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 13 = -u, 502*s + 5 = 497*s - 5*u for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-76)\/(-304)*(-3360)\/260\nAnswer: -42\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*s = -32*s - 3420. Suppose s = 24*d - 2601. What is the highest common divisor of d and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -701*g + 723*g + 5940 = 0. Which is bigger: -814\/3 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -67*w + 4. Let r be g(-8). Suppose 137 = 3*j - 4*n - 187, 5*n = 5*j - r. Suppose -68 = -4*q + j. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 383 is divided by 357.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - 11*y**2 + 7 - 2 - 3. Let d be o(11). Suppose c = 6*c - 50. What is the highest common factor of c and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 27678?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1301, -1293, -1283, -1271, -1257, -1241?\n\"Answer: n**2 + 5*n - 1307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1995853795?\nAnswer: 5, 13, 379, 81017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(405) - sqrt(405)*5)\/(sqrt(18)\/(sqrt(10)\/(sqrt(5)*2))).\nAnswer: -21*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -130*(-5904)\/7488*(-4)\/10?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*g**2 - 5*g + 2*g + 3*g.\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - -a1?\nAnswer: 9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q + 1. Suppose 0 = 5*o - 9 - 1. Let d(w) = 19 + 8*w - o - 8 + 6*w. Let v(p) = 3*p + 2. Let t(a) = 2*d(a) - 11*v(a). Give -6*s(c) - t(c).\nAnswer: -c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20195128 to the nearest integer?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 6 + 6, m + 65 = -h. Which is bigger: h or -67?\nAnswer: -67","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -8*d**2 + 2*d + 1. Let h be t(1). What is the least common multiple of 10 and 10\/h*2 - -19?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -80 (base 15) in base 13?\nAnswer: -93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -10*p. Let x(u) = 6 + 3 + 2 - u. Let t be x(13). Let y be m(t). Solve n + n + 10 = -4*j, y = -4*n - 5*j for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 783 divided by 3.\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -5*v - 565, 0*v + 342 = -3*v - 2*k. Let a be 3*(80 - 1) - -3. Let j = v + a. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 562393 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3645049 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -5*s + 2*s - 66, -2*s + 71 = 5*r. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1155\/350 + (-12)\/40. What is the nearest to k in -1\/11, 30, -5?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 1140000*p - 4000. Let d(x) = -1. Let j(g) = -4000*d(g) + f(g). Let u be j(-15). What is u rounded to the nearest 1000000?\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vzz when three letters picked without replacement from {z: 3, v: 7}?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (476\/(-60))\/7 + 1?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68505676?\nAnswer: 2, 17126419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 257 - 256.8. What is the nearest to g in -0.71, -1\/4, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -122 (base 13) in base 3?\nAnswer: -21022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 526118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together 12 and 47.193338.\nAnswer: 59.193338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 6*i**2 + i + 2. Let u(y) = -115*y**2 + 8*y + 16. Let a(p) = 24*g(p) - 3*u(p). Let q(c) = -2*c. Calculate q(a(v)).\nAnswer: -978*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1146 + -642. Is p a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -7*j. Let t(b) = 507*b**2 + 2*b. Determine t(v(y)).\nAnswer: 24843*y**2 - 14*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2936*b + 4462*b - 3 + 3 + 0 to h*b + l and give h.\nAnswer: 7398","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of 27*q + 0*q**4 - 1\/6*q**3 + 0 + 1\/3*q**5 - 17\/2*q**2. Let x(d) be the first derivative of f(d). Differentiate x(b) wrt b.\nAnswer: 40*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, 320, -1\/11 in decreasing order.\nAnswer: 320, -1\/11, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5141? (a) 4 (b) -1\/8 (c) -1 (d) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*u**3\/7 - 406*u**2 + 10600*u\/7 + 2496\/7.\nAnswer: (u - 312)*(u - 4)*(9*u + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 749*v**2 - 2069*v + 8007924 wrt v?\nAnswer: 1498*v - 2069","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b - 10. Let t be k(15). Suppose -2*w + t*w = 120. What is the third derivative of -4*l**2 + 9*l**3 - w*l + 40*l wrt l?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2243 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 357*p + 45. Let x be z(16). Suppose -16*g = -x - 1827. What are the prime factors of g?\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c - 9. Let f be u(6). Suppose 0 = -f*j + 7*j - 136. Is 12 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -57946 at most as big as -57945?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, -2924, -29 in ascending order.\nAnswer: -2924, -29, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10376 is divided by 325.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**4 + 66*v**3 - 456*v**2 + 960*v.\nAnswer: -3*v*(v - 10)*(v - 8)*(v - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 - 17*b**2 + 20*b - 71. What is h(16)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*h - 56*h - 17476 = 0. Suppose -5*p + 2515 = 5*d - 6*p, -2*d + h = 4*p. Does 36 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4799072 to the power of 1\/3, to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -357*m + 55. Is s(-24) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -495.\nAnswer: 1485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 9:23 AM?\nAnswer: 8:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00624172 rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/4 + (-1)\/2. Let o(u) = 10*u**2 - 1. What is the least common multiple of o(p) and 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -173*k - 5*k**2 + 173*k + 7*k**4 - 6*k**4 - 4 as j*k**2 + w*k**4 + b*k + z + y*k**3 and give j.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 84*b**5 + b**4*v - b**3 + b - 224*v wrt b?\nAnswer: 1680*b**3 + 12*b**2*v - 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 3*q = -16 + 3, 0 = -5*q + 5. Suppose 4*w - 181 = j*y, 2*w + 0*w - y - 89 = 0. What is the remainder when w is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.56254 to 3 dps.\nAnswer: -0.563","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 3) to base 10.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express o**4 - o**2 + o**2 + (o + 2*o**3 - o)*(3*o + o - 3*o) - o**2 + 2*o**4 - 40*o - 6*o**4 + 39*o in the form b*o + q + d*o**4 + y*o**2 + w*o**3 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 977 is divided by 125?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-10)\/20 - 74*(-2)\/8 and 1?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21924 divided by 6\nAnswer: -3654","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4681 + 4834. Calculate the highest common factor of h and 102.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*k**4*u**2 + 8667*k**4*u - 3895*k**2*u**2 - 2*k**2*u - 3*k*u**2 + k*u wrt k?\nAnswer: 72*k*u**2 + 208008*k*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -84*b - 19. Let i(j) = -118*j - 28. Let q(h) = 7*c(h) - 5*i(h). What is q(-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 5*d**3 + 101*d**2 - 706*d + 1344. Let y(c) = -21*c**3 - 405*c**2 + 2823*c - 5368. Let q(i) = -25*g(i) - 6*y(i). Suppose q(f) = 0. What is f?\nAnswer: 4, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1489*b**2*t**2 - 3299*b**2*t + b*t - t**2 wrt t?\nAnswer: 2978*b**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 748734096 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 59182681 to the nearest one hundred thousand.\nAnswer: 59200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50004 is divided by 98?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.35, 0.4, 145, 1\/7, 4.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 8:28 AM?\nAnswer: 1:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.2, -14, 0.5, -166, 0.04, 2978?\nAnswer: -166","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 379 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 - 14*f - 17 + 2 + 2. Let s(m) = 5*m + 2. Let q be s(-3). Let w be l(q). Solve -3*p - p + 4 = w for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of -7*o**4\/12 - o**3\/2 + 2*o**2 + 7*o - 3. Let w(d) be the first derivative of b(d). Let w(q) = 0. What is q?\nAnswer: -1, 4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1277170617 to the nearest integer?\nAnswer: 35738","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 43499*i - 304505. Calculate v(7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*r**3 - r**2 + 2577139 - 2577139.\nAnswer: 19*r**3 - r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -37.3845 + 43.91463. Let n = k + -6.53. Round n to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1632\/7 + 234. Let j = -0.08 + 29.08. Let r = -26 + j. Which is the third biggest value? (a) -5 (b) k (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4590255037 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d + 71 = 8. Let u(f) = 7*f**2 + 7*f + 1. Is u(d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-7829)\/((-6)\/2*(-22)\/(-66)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6360 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20624 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/10*4 + 97744\/81795. Are -0.1 and l nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 - 4*h**2 + 3*h - 10. Let j be v(7). Let z = 499 - j. What is the hundreds digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2231, 4452, 6677, 8906?\n\"Answer: 2*b**2 + 2215*b + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -95029\/13 + 7310. What is the third smallest value in -6, n, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.6 - -0.6. Let t = o - 4. Which is the nearest to -0.2? (a) 0.1 (b) 1 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/5 of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6152?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1328889496?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -3251, 55, -3, 4 in descending order.\nAnswer: 55, 4, -3, -3251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*k - r + 380 = 115*k - 53*k - 3*r, 0 = 5*r - 19 + 44 for k.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 4.926771 days?\nAnswer: 118.242504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2604 - 2603.9998753. Round y to 5 decimal places.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -ad + 13?\nAnswer: -9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 15 = -4*p, -p - 4*q + 5 = -4*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1.3, 4, 29\/7, -0.4, -4?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjlrjjlbkbdbjjlll. What is prob of sequence ljrd?\nAnswer: 1\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t + 1. Let x(m) = m - 5. Let l be x(6). Suppose -2*h + 0 = n - 9, 0 = 5*n - 15. Let z(c) = -6 - h + 17 - 7. Give l*y(s) + 2*z(s).\nAnswer: 2*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/3560 and -65\/356?\nAnswer: 3560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*y + y + 2792*t + 8 = 2795*t, 5*y - 106 = 9*t for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25 - 13 - 24 - 2024*j**2 + 62 to the form a*j**2 + g*j + f and give a.\nAnswer: -2024","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 8:55 AM?\nAnswer: 8:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - 253341?\nAnswer: -253350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25 + 23. Let d = -2\/179 - -364\/537. Let m = 13 - 18. Which is the closest to 2? (a) m (b) j (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 4:29 AM?\nAnswer: 11:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -0.1, 0.01, 2332\/9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-6)*-15)\/((-1)\/(-1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, -28, -67, -122, -193?\nAnswer: -280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 458*t - 456*t + 12 = -5*v, -15 = 6*v + 3*t for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -141*b + 137*b. Suppose 0 = -5*x + 357 + b. Does 15 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -9*n + 25. Calculate x(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - t**2 - 5*t**3 - 5*t - 3*t + 2*t**4 + 4*t - 3 to k*t**3 + s*t**2 + d*t + c*t**4 + b and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 11*g + 32 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/((-8)\/384*-20)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n. Let y be w(-2). Let g be 19 + (7 + -1)\/y. Let h = 31 - g. Calculate the remainder when 57 is divided by h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -11358 and -672586.\nAnswer: -683944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -109.9 - -76.9. Which is the closest to 0.09? (a) m (b) -2\/3 (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 3*w**2 - 37*w - 22. Calculate the remainder when (13\/2 + 1)*2 is divided by o(13).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 8 = -w, 0 = -2*w - 6*m + 7*m + 11. Solve p - 17 = 3*n, -w*n - p + 0 = 7 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 66\/7 - 1204\/(-2107)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -4*u + 3. Let z be m(2). Let i(c) = -3*c - 4. What is the lowest common multiple of 3 + (-1)\/((55\/(-10))\/(-11)) and i(z)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -246*-3.\nAnswer: 738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 + g - 1. Let x(u) = -u + 1. Let q = 324 + -319. Let b be (-9 - 441\/(-35)) + (-3)\/q. Give b*x(f) + 3*z(f).\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 s, 1 h, and 1 u when four letters picked without replacement from {z: 1, e: 1, l: 2, u: 1, h: 1, s: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 293745725 by 2275.\nAnswer: 129119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g + 3. Let y be j(3). What is the units digit of (7 + -49)*(-2)\/y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 167\/2310 and 163\/12936.\nAnswer: 64680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41*m**2 - 44*m**2 + 24*m**2)*(-6*m**3 - m**3 + 3*m**3) + 8*m**5 - m**5 - 8*m**5.\nAnswer: 243*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + p + 2*p)*(-p - 1 + 1) + 9*p**2 + 36*p - 36*p + p**2 - 1116 + 3*p**2 + 1136.\nAnswer: 11*p**2 + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 734 - 464 = 0. Let z be 5\/(9\/(1944\/b)). What is the highest common factor of 120 and z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 302117 and 1191?\nAnswer: 906351","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.881 less than -0.1?\nAnswer: -2.981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1539) - (-1 + 3 + sqrt(1539))) + (-2 + sqrt(1539) + sqrt(1539)*4 + sqrt(1539) + sqrt(1539))**2)*2.\nAnswer: -504*sqrt(19) + 150826","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 96092903 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + 13*z - 2*z)*(-2 + 2 - 5*z) + 3*z**2 + 4*z**2 - 6*z**2 + (z + 0*z + z)*(-4*z + 6*z - z).\nAnswer: -57*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33437306 and 686?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -755, -205, 727, 2053, 3785, 5935, 8515, 11537?\nAnswer: 15013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(9\/4)\/s)\/s**(-14) assuming s is positive.\nAnswer: s**(61\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - 4044?\nAnswer: -4040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -54.92 + 54. Let d = -4 + 3. Are o and d non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1064549 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3663, -7911, -12157, -16401, -20643?\n\"Answer: v**2 - 4251*v + 587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 423*g - 10 = 3*h + 428*g, -5*h + 4*g = 29 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2662571496?\nAnswer: 2, 3, 13, 8533883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4786 - -355. Does 8 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**1\/(i*i*(i**8\/i)\/i))\/(i\/i**(-2))**(1\/8)*(i\/((i\/i**(1\/15))\/i))\/i**5*(i**1)**(-4\/3) assuming i is positive.\nAnswer: i**(-1517\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 less than 78682?\nAnswer: 78680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*a**2 + 19*a**2 - 121*a - 37*a**2 + 2299*a**3 + 120*a to w*a**2 + n*a + g + d*a**3 and give d.\nAnswer: 2299","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/(-8)*-6*(-2)\/9. Suppose u*h = -5*t - 25, -12 = 4*h + 5*t + 53. Let b(j) = j**2 + 12*j - 8. What is the units digit of b(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of r**4\/3 - r. Let v(s) = 3*s**2. Let d(y) = y**2. Let h(o) = 8*d(o) - 3*v(o). Determine n(h(a)).\nAnswer: 4*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 257430?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004271326321 to 6 dps.\nAnswer: 0.004271","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-9)\/(-6) - 2)*-10. Suppose -4*u + 1397 = b*r - 225, -4*u - 8 = 0. Let z be (-4)\/(-6) - r\/(-6). Calculate the highest common divisor of z and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35908112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 2*n - 10 = 0, 5*g + 2*n - 10 - 24 = 0. What is the third derivative of 19*m**3 + 61750*m**2 + 6*m**3 + m**g - 61865*m**2 wrt m?\nAnswer: 120*m**3 + 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -3*h + 9. Let o be l(1). Let w be 4\/(-14)*(o - 7). Solve 0*t - 2\/7 + w*t**2 = 0 for t.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a kilogram in grams?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 5, a: 1, u: 1, o: 3, g: 2}. Give prob of sequence too.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 19949 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1442 and 162777286.\nAnswer: 1442","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-104)\/(-884)*(-8)\/(-6)*(-18)\/24?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 4*r + 1 + 21 = 0, 2*u = 3*r + 22. Suppose -367 - 23 = -3*s. Suppose p = s - 42. Calculate the highest common factor of p and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (895*q**2 - 895*q**2 + 73*q**3 + 3*q**4)*(q + q + 0*q).\nAnswer: 6*q**5 + 146*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 + y + 8. Let v be p(-4). What is the common denominator of 116\/10 + v\/60 and 2\/6 + 187\/24?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**4 + 32*s**3 + 24*s**2 - 288*s - 540.\nAnswer: 4*(s - 3)*(s + 3)**2*(s + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1501 - -13?\nAnswer: 1514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 494\/7, -5, -0.4, 13 in descending order.\nAnswer: 494\/7, 13, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -483 in 2, 4, -2, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -560 + 686. Let -2*g**3 + 62 + 5*g**3 + 4*g**3 - 5*g**3 + n*g + 66*g**2 = 0. Calculate g.\nAnswer: -31, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one tenth of a kilometer?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 140 and 17605.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hswlsssw. Give prob of sequence wws.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -625859, -1250960, -1876061, -2501162?\nAnswer: -3126263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*n + 23 = -58*n + 4*h, h + 1 = n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 60 + 33. What is the remainder when b is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 336856251?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -6*d + 114. Let y(o) = 4*o - 112. Calculate -3*w(a) - 4*y(a).\nAnswer: 2*a + 106","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 5)*(0 + 2 - 4)*(-3 - 1 + 3)*(10*t**3 - 13*t**2 + 13*t**2).\nAnswer: -20*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of d**2 + 10*d - 4. Let t be p(0). Let y be 4\/t + 17\/(-5). Which is the third biggest value? (a) -0.1 (b) y (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160*w - 3 = -161*w - 10*s, -1519*w = -1514*w - 3*s - 15 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 0.016.\nAnswer: -0.032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 245154 is divided by 48.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -5*q + 24. Solve 5*h - c = c + 19, -q*c + 11 = 5*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/2*6\/((-72)\/6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 42*o**3 - 39*o**2 - 4*o - 29. What is the hundreds digit of w(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 2*n + 10 = o + 16 + 28, -17*n = -19*o - 29 - 101 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2108389 is divided by 702796?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/117? (a) -33 (b) -1 (c) 5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 14\/9 (c) 0.4 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26 and 4082?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100 - -1100010?\nAnswer: 1110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 37.01334 decades?\nAnswer: 0.3701334","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q**3 - q**3 - 8*q**2 + 2*q**2 - 6*q**2.\nAnswer: -2*q**3 - 12*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1259 - 1258.9. Put -5, f, -3\/4, -6\/13 in decreasing order.\nAnswer: f, -6\/13, -3\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 153900469.\nAnswer: 153900469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/(((-1)\/4)\/((-17)\/(-102))). Let t(d) be the first derivative of 3\/2*d**2 + 1\/3*d**3 - 4*d - 2. Give t(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -117 from -9.78405899423.\nAnswer: 107.21594100577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (4491 - -1) + (31 - (8 + 18))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*w**4 + 20*w**4 - 29*w**4 + (-1 + 3 + 0)*(w**4 - w**2 + w**2) + 2*w**4 + 0*w**4 + 0*w**4 - 3*w**4 - 7*w**4 + 2*w**4.\nAnswer: 2*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-38))\/((-38)\/38).\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -148, -4, 2, 1, 246 in ascending order.\nAnswer: -148, -4, 1, 2, 5, 246","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 477 + -481 - (3 + (-1 - (2 + -4)))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.1 and 16.8?\nAnswer: -52.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express p**3 - 3*p**3 - p**3 + (-3 - p**2 + 3)*(0*p + p + 0*p) + (-4*p + p + p)*(171 - 171 - 27*p**2) in the form h*p + d*p**3 + f*p**2 + j and give d.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 3*f - 8 = 0, -5*f - 18 = -3*g - 8*f for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 150 - 21. Let n = -104 + r. List the prime factors of n.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = 5*t + n - 90, 5*t - 2*n - 90 = 0. Calculate the remainder when t is divided by (10*-1)\/(-1*1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 47*l - 52*l + 2*a, l = a - 2 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16327?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81995730?\nAnswer: 2, 3, 5, 47, 58153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1308 a factor of 135844956?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/8 in 4, -0.003, -39, -2\/79?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v**2 - 5*v. Let d(l) = -3*l**2 + 10*l. Let a(s) = 3*d(s) + 5*n(s). Let g be a(-5). Solve g*o = -5*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-93)\/1050 + (14\/16)\/((-1911)\/156)?\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6.281 - -5.381. Which is the smallest value? (a) g (b) -7 (c) 0 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 - 79*j**2 + 67*j + 13. Determine u(-80).\nAnswer: 1053","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1884573*v**6 + 2*v**4 + 11496021*v**2 wrt v?\nAnswer: -226148760*v**3 + 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5897 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 - 18*k**2 + 16*k + 3. What are the prime factors of g(-19)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 16, -3986, -1, 4 in increasing order.\nAnswer: -3986, -10, -1, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 939.7874 micrometers?\nAnswer: 0.09397874","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*i - 40 = 84*i for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 - 17*r + 12. Give q(-17).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 - 6*m. Let q be k(-5). Let n be (-168)\/16*(-12)\/9. Let y = -14 + n. Solve 5*w = -g + 5, 0*g + q*g = y for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4 + 6\/2)*4. What is the third derivative of -28*k**3 - k**4 + t*k**3 + 5*k**2 wrt k?\nAnswer: -24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4039 > 28272\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1711?\nAnswer: 29, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 322 and -694.6.\nAnswer: -223661.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 - 4*v + 6. Suppose 4*o + 39 = 55. Calculate b(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5\/15 + 42188\/18. Let v = c + -2338. Calculate the common denominator of v and 39\/11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -243*w - 3504 - 4033 = -477 + 1445 for w.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15991.\nAnswer: 15991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + -5174242?\nAnswer: -5174243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 2*t = 21, 5*m + 21*t = 20*t + 28 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2805 and 104550?\nAnswer: 1150050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-115 + 46 - 374)*(x + x + 6 - 4).\nAnswer: -886*x - 886","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161*c + 109 = 2041 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 PM and 7:29 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-4))\/((-11)\/(-44)). Suppose -2*l - 5*m = -20, 0*l = -l - v*m + 8. Suppose l = 5*d - 143 + 23. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2, 3, -2\/9, 2, 73.4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/2 (b) 0.13 (c) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*l - 33*l + 177 - 449 = 0. Let f = 0.3 - 0.5. Which is the nearest to -2\/7? (a) -2 (b) f (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - k + 7 = -4, -4 = 2*d + k. Let h(g) = -g**2 - 3*g. Let u(c) = c**2 + 2*c. Calculate d*u(z) - 2*h(z).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum -56.768282 and 0.0154.\nAnswer: -56.752882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13458332*w**2 + 3*w**4 - 7*w**3 + 13458332*w**2 - 179*w to j*w**4 + l*w**2 + f + d*w**3 + z*w and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16270*j**3 + 85244*j**3 - 2574*j**3.\nAnswer: 98940*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -394 - -394. Solve -5*a + 4*m = -t*m - 6, 2*a = m for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = o + 4*g, -g = 4*o + 4*g - 3. Suppose -16*r + 87 = o. Let l = 0.3 + 0.2. What is the smallest value in l, r, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3\/5 + 6*p**2\/5 - 4*p\/5.\nAnswer: -2*p*(p - 2)*(p - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6117548.\nAnswer: 2, 1529387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 47 - 1be01?\nAnswer: -1bda9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of -y**5\/120 - y**4\/24 - 34*y**3\/3 - 7. Let q(j) be the third derivative of z(j). Determine q(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 177764 (base 9) in base 15?\nAnswer: 22c04","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (21 - 1 - 21)*(-1)\/(-5)*-2\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -4*k + 8, -3*k + 24 = 5*c + k. Let q(w) = -3 - 1 + c + 27*w. Let h(u) = -u. Calculate q(h(s)).\nAnswer: -27*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0\/4)\/(-1*2). Let l be (-20)\/(-8)*(2 + n). Let k = 2 - 6. Sort k, -5, l.\nAnswer: -5, k, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -234, -381, -580, -855, -1230, -1729, -2376?\n\"Answer: -4*x**3 - 2*x**2 - 113*x - 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 4*d + 6. Let s be u(-4). Let k be (-46)\/s + (-6)\/(-15). Suppose -3*x - k*t = -65, -1 = t + 1. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - -1 - -1 - 1) + -9.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0*j - 6 - 2*j)*(0*j**2 + 2*j**2 + j**2).\nAnswer: -6*j**3 - 3*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -30\/17 or -1?\nAnswer: -30\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5332 and 3937.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 3*b - 865 = -8*b, 531 = 3*l - 3*b. List the prime factors of l.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -95, -105, -129, -173, -243, -345?\nAnswer: -485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 + n**2. Let v(m) = 4*m**3 - 10*m**2 + 2*m. Let d(s) = -5*t(s) - v(s). What are the prime factors of d(2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1132649063?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0479 - 1094318?\nAnswer: -1094318.0479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -175 - -385. What are the prime factors of z?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - -2 - (7 - (-4 - -3))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of -d**3\/2 - 7*d**2\/2 - d. Suppose -3*l - 19 = 5*c - 9*c, -3*l = -c + 7. Let u be l\/(((-1)\/1)\/(-5)). Determine g(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7.9 + -1.8. What is a rounded to zero decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14555 = 4*b + 3*q, 2*b - 10365 = q - 3080. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 30, 0.9, 0.1, 10.6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -286*w**2\/5 - 29985156*w - 2096864\/5 = 0?\nAnswer: -524216, -2\/143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55235 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -112695\/4 + 28175. Which is the smallest value? (a) q (b) 0 (c) 1\/2 (d) -11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 + 6*n**2 - 5*n - 1. Suppose 2*d - 2*x - 8 - 4 = 0, -22 = -4*d + 2*x. Let q be c(d). Does 8 divide q\/(-1) - (-12 + 5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-22) - ((155 - (285 - 144)) + (-797)\/55).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**4 - 2*d**2 + 2*d - 2. Let t(c) = 93*c**4 - 115*c**2 - 12*c + 9. Let n(a) = 6*h(a) + t(a). Find the third derivative of n(g) wrt g.\nAnswer: 2088*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 - 11*q + 2. Suppose 0 = -3*r - 30 + 9. What are the prime factors of o(r)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 10) to base 6\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1036 and 2441852?\nAnswer: 1036","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 16.87 and 42.\nAnswer: 708.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/1145 (b) 0.8 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2608842 centimeters to millimeters.\nAnswer: 2.608842","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*r - 3068 - 22259. Let j = r + 2221. List the prime factors of j.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1851 rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 947179*d**2 + 2154854*d wrt d.\nAnswer: 1894358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10 - (-1 - -4) - 50. Suppose -2*t - 39 = -5*p + 53, -4*p + 90 = -2*t. Let n = g - t. Let u(c) = c**3 + 5*c**2 + 3*c. Determine u(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.011 (b) -0.2 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 144*p**5 + 158*p**4 + 10*p**3 - 4*p**2 = 0.\nAnswer: -1, -2\/9, 0, 1\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 296 and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, i: 1, r: 2, c: 1, q: 1, k: 2}. What is prob of sequence bkk?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 790 is divided by 25?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 - 9*x + 8. Let i be v(8). Suppose 19*c - 17*c - 4 = i. Let -2\/9*t**3 - 2\/9*t**c - 2\/3 + 10\/9*t = 0. What is t?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9071 and 16019.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1421 + 1438. Let r = -0.02 - 0.98. Which is smaller: y or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3328 and 6631040?\nAnswer: 13262080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 7, 18, 35, 58?\n\"Answer: 3*x**2 + 2*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1037*f**3*j**4 - 15*f**3*j + 5*f**3 + 24*f*j**4 + 637*f + 13*j**3 + j**2 - 5 wrt j?\nAnswer: 24888*f**3*j + 576*f*j + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 + -11. Let n(i) = -3*i + 1. Let c be n(1). Let o = 5 + c. What is the greatest common divisor of k and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 300 divided by 12\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3092315 + -22284079. Let m = -9600850 + -1490914. Let z = m - k. What is z rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - -100262?\nAnswer: 10025a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 6*y - 15. Let r be -5 + 2 + 0 - y. Let u be 4\/r + (-8)\/(-3). Which is the nearest to 0.1? (a) u (b) -1\/5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, t: 1, z: 1, h: 2}. Give prob of picking 1 z and 1 h.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 189.265 rounded to 0 dps?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, -0.4, -63, -0.5, 7, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 12.65357 + 2.58193\nAnswer: 15.2355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.18113535 - -8.4?\nAnswer: -4.78113535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + i - 2)*(732 + 285 - 97) to d*i + q and give d.\nAnswer: 920","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -95465698 - -95465620.000154. Let b = 78 + j. What is b rounded to five dps?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78241 + -1.2?\nAnswer: 78239.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*v**3 - 7*v + 2*v + 2*v + v wrt v.\nAnswer: -18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eb31 (base 15) in base 4?\nAnswer: 30021223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (-14 - -10)) + -12\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 139157 or 2365656\/17?\nAnswer: 139157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 295 + -162. Let z = 188 - f. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -3*k**2. Let c(b) be the third derivative of b**4\/6 - 10*b**2. What is c(a(m))?\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 115 and 9315.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 10, -5*f - 14 = 5*q - 34. Is -16 > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -33 + 29. Let i = 0 + 1. Suppose 3*t + 5 = 2*h, -t + 4*h - 3 = -8. What is the second smallest value in t, k, i?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8692059 to the power of 1\/2, to the nearest integer?\nAnswer: 2948","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.473 + 58.873. Let j = 53.37 - p. Let d = 0.03 + j. Sort -0.2, d, 2 in descending order.\nAnswer: 2, -0.2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 260 - 238.2. Let d = -22.6 + u. Put d, -0.1, 1, -5 in descending order.\nAnswer: 1, -0.1, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1621085009?\nAnswer: 1621085009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.96 + -0.04. Let i = 0.13 - -0.17. What is the smallest value in 3, i, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*c - d + 5, 45*d - 278*d + 66*d = -3*c - 835 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 - 10*w + 3. Let l(o) = -o**2 - 11*o + 2. Let s be l(-12). Let z be g(s). Let q(i) = -i**z - 37*i + 37*i - 4 + 0 - i**2. Calculate q(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4415 divide 2340395152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 4855?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123935715.\nAnswer: 3, 5, 2754127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 122 + -123. Let m be ((-2)\/(-3))\/r*(-3)\/(-5). Sort 6, -2, m in decreasing order.\nAnswer: 6, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 5*z + 12. Let k = -1 + z. Let w be k*6\/(-8)*2\/6. Which is smaller: 4 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2774?\nAnswer: 2, 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f + f - f)*(f**3 - 4*f**3 + f**3) + (-67 + 67 - 16*f**2)*(-2*f**2 + 2 - 2).\nAnswer: 28*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -93*t - 7. Suppose -23*h = -301*h - 13*h. Calculate x(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of r**5\/12 + r**4\/6 + 8*r**2. What are the prime factors of v(4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -57\/2 - -27. What is the nearest to -2\/3 in 0.7, v, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((3\/24)\/(255\/(-3400)))\/((-1)\/9).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -3*p**3 + 5*p**2 - 34*p - 7. What are the prime factors of a(-8)?\nAnswer: 3, 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1584\/7 or -226?\nAnswer: -1584\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 5 + 4. Suppose 5*b = 3*x - 4*x + 9, 5*b + 7 = h*x. What is the units digit of (b - 30)\/(5 + -6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 180 (base 9) in base 11?\nAnswer: 12a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 326437 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -26523.6 + 3\nAnswer: -26520.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 3*k + s = 24, s - 87 = -4*k. What is the lowest common multiple of k and 2?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s**2 + 40*s + 212. Let i be p(-4). What is the greatest common divisor of 390 and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11\/464 - 5\/58. Which is smaller: 0 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, s: 2, g: 3, o: 8, t: 2}. What is prob of picking 1 t and 2 o?\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -8. Let p = 9 + v. Suppose 30 = p*d - 225. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 - 5*o**2 - 3*o + 2. Let t be q(-3). Let y(h) = -h**3 + 5*h**2 + 4*h + 8. Suppose 0 = -f - 5 + 11. Let l be y(f). Which is smaller: t or l?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.08, -0.2, 6, 0.1, 14.25, -8?\nAnswer: 14.25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1717 + 0*f + f + 18144 + 3825 + 14978.\nAnswer: f + 35230","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence leer when four letters picked without replacement from lrererrl.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of -2*c + 0 + 37\/2*c**2 - 1\/12*c**4 - 1\/2*c**3. What is the first derivative of q(l) wrt l?\nAnswer: -2*l - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -90, 21, -5, -4 in descending order.\nAnswer: 21, 0, -4, -5, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -13. Factor v**f - 28 - 27 + 55.\nAnswer: v**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - 9*s**2 - 23*s - 6. Let v be m(-5). Suppose v*h - 27624 = -3*h. Suppose 34*g = 36*g - h. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1\/121 + -359\/484. Let r = 68 - 206\/3. Let w = 1\/55 - 13\/110. Which is the nearest to r? (a) w (b) s (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a**3 + 7*a**3 - 4*a**3 + 19*a**2 + 3 - 37*a**2 + 22*a**2 to the form n*a + r*a**2 + b + l*a**3 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 59487\/2 - 29733. Factor n - 3\/2*s**2 - 9*s.\nAnswer: -3*(s - 1)*(s + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3390*k**2 - 31971473 + 31971473 in the form c + w*k + l*k**2 and give l.\nAnswer: -3390","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 412 and 1338?\nAnswer: 275628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l - l + 2*l + 10*l - 9*l + 10*l + (-4 + 10 + 18)*(-5*l + 4*l + 0*l) + 28*l + 329 - 329.\nAnswer: 13*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -86\/83363, 2, -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = l - 2. Let n(r) = -r**3 + 1. What is the units digit of n(l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 805 - 800. Sort 29, -5, l.\nAnswer: -5, l, 29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*m**2 - 2 + m**2 + 3*m**2 - 2226*m.\nAnswer: -3*m**2 - 2226*m - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/1064812 and -15\/24607?\nAnswer: 11712932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -4 - ((1 - -2) + -13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*s = 10*s - 32*s + 16*s + 12*s, -5*k = 3*s + 135 for k.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6a3 + 4?\nAnswer: -69c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 13949650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**4 + 0*p**4 + 4*p**4)*(-5*p + 2*p + 2*p) - 1038*p**5 - 961*p**5 + 1860*p**5.\nAnswer: -141*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 843*o = -726*o + 4462 + 11228 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*h - 3*w + 6 = -45*h, 0 = 7*h + 3*w for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -7*k + 3*k + 10*k - 7*k + 9. Let x be 1 + 2\/2 - -3. What is the units digit of w(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -545 + 1586. What is the hundreds digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-6*1*(sqrt(484)\/(sqrt(44)\/sqrt(4) + sqrt(11)))\/(-3*sqrt(100)).\nAnswer: 6*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -33*u - 292. Let z be a(-10). Suppose -5*i + 82 = -3*i. Let c = z - i. Let r(j) = -2*j - 1. Determine r(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 60, 73, 74, 57, 16, -55?\nAnswer: -162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3043a182 - 1?\nAnswer: 3043a181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 + 6*s**2 - 6*s + 12. Give o(6).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-13))**(1\/2)*(o*o**(-17))\/o**30 assuming o is positive.\nAnswer: o**(-105\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.03? (a) -2\/7 (b) -0.382 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*z**3 + 34*z**3 + 29*z**3 - 76*z**3.\nAnswer: 10*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -41, 1, -3, 12, 564, 4 in ascending order.\nAnswer: -41, -3, 1, 4, 12, 564","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -173\/2077500 and 9\/2600.\nAnswer: 54015000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -10 (b) -1 (c) 132945\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 240, 3, -3 in ascending order.\nAnswer: -3, 3, 240","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 4*l = 24. Put l, -5, 0 in ascending order.\nAnswer: l, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -247*s + 9367. Give c(38).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 279 and 4602987?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -37207\/2 + 18604. Which is bigger: 144\/49 or r?\nAnswer: 144\/49","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-117 - 36) + -132 + 186\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 9\/136, 0.62, 484, 1, 2\/15?\nAnswer: 0.62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 - 7*p + 12. Let c be x(8). Suppose 3*h = 2*l + 2*h - 9, -3*h - c = -5*l. Let y = -6 - -6. Solve -5*o + 2*j - l*j - 25 = y, -7 = o + 3*j for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 2:30 PM?\nAnswer: 3:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20472, 18204, 15936, 13668, 11400, 9132?\nAnswer: 6864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 4:56 AM?\nAnswer: 11:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 504781 and 391.\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -88, -178, -268, -358?\nAnswer: -448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7303776?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163*m - 131*m - 6794 = -126*m for m.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*w**3 - 1073*w**4 + 29*w**2 + 390*w**4 + w + 681*w**4 - 2 to the form c*w**4 + k + u*w + r*w**3 + b*w**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = 2*x, -4*x + 5*t = -4734 + 4739 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(20) - (sqrt(20) - sqrt(320)))*-6)\/(sqrt(44)\/sqrt(704)).\nAnswer: -192*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*h + 195*h = 1856 + 1420 for h.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -26796\/17 smaller than -1575?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 6. Suppose -4 + 28 = v*k. Let o(g) = 18*g**2 + 13*g + 13. Let a be o(-1). Calculate the greatest common factor of a and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-250)\/70)\/(-15*(-1)\/(-6))?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3374 (base 13) to base 6.\nAnswer: 53145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 3*u - 3. Let w(m) = -7*m + 5. Give 5*k(p) + 3*w(p).\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -22*l**2*o**3 - 3*l*o**3*y - l*o*y + o**3 - 384*o*y wrt l.\nAnswer: -44*l*o**3 - 3*o**3*y - o*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-6) + (-8)\/(-3). Suppose 4*x - 11 = x - 2*g, c*x + 2*g - 8 = 0. Suppose -j = 5*w - 14, 0 = 4*j + j - 5*w - 10. Is x >= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4585 = 21*y - 8393. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 - 18*d**2 + d + 71. What are the prime factors of b(19)?\nAnswer: 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -36\/7*t**2 - 48\/7 - 80\/7*t - 4\/7*t**3 = 0.\nAnswer: -6, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -10831, -10681, -10495, -10273, -10015?\n\"Answer: 18*a**2 + 96*a - 10945","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3301599113 to the nearest integer?\nAnswer: 1489","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of -2*a**3\/3 - a**2\/2 - 17*a. Let g(o) = -8*o - 3. Determine -2*g(q) + 5*v(q).\nAnswer: -4*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 - o**2 + o - 1. Let y(l) = -3*l**3 + 6*l**2 - 6*l + 6. Let i = -53 - -64. Suppose 4*w + 35 - i = 0. Give w*v(n) - y(n).\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1069892\/67 > 15969?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + 6*o**2 + 2*o + 3. Let s be i(6). Suppose 4*z = 47 + 1. Solve -13 = -5*m + z, -2*m = -5*n - s for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n - 5. Let r(t) = t + 3. Let y(u) = -6*u**2 + 5*u + 6. Let l be y(-1). Calculate l*i(b) - 8*r(b).\nAnswer: -3*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.41 and 0.89?\nAnswer: 0.3649","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 528 divided by 2.\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 5689815?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 189?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22209.\nAnswer: 3, 11, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 145 + -14. Let u = -90 + d. Is u a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1696*q + 16104 = 1330*q for q.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - 4*2\/4. Does 14 divide (-3)\/u*56\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -147052, -294105, -441158?\n\"Answer: -147053*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.5908 + -748.7092. Round j to the nearest ten.\nAnswer: -750","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 - r. Let t be (-44)\/11*(-2)\/4. Let f(v) = -2*v + 1853*v**2 - 1857*v**t + 7*v. Determine f(c) + 6*g(c).\nAnswer: 2*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4014 + 4010. Suppose u + 2*u = 0. Sort 0.1, q, u in ascending order.\nAnswer: q, u, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14376 - 2644 + 18037 - 411 - 1396)*(2*r - 2*r - r**3).\nAnswer: -27962*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-6*(sqrt(605) + 1 + -1) + 4)*-5.\nAnswer: -330*sqrt(5) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 8873 divided by 5\nAnswer: 8873\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 PM and 11:32 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-84*f - 14189 + 14189)*(-1 + 0 + 3)*(4 - 1 + 1)*(-3 - 3 + 5) in the form v + p*f and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3\/569 + -23356\/5121. Suppose 6*t - 22 = -4. Calculate the common denominator of h and 21645\/(-74)*t\/(-75).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of -p**4\/2 + 50*p**3\/3 + 54*p**2 - 559. Factor o(j).\nAnswer: -2*j*(j - 27)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (-441)\/91) + -1.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15 in 1\/9, -120.3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 3*u - 19. Let p = u + -26. Which is bigger: p or 1\/17?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - -1)*(-11)\/(-2). Suppose 2*g - 12 = -5*v, -g + i = 4*v - 1. Solve 0 = 2*t - v*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2911487437?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1309\/(-35) - 3712\/(-580)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95325?\nAnswer: 3, 5, 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4755561?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d + d - 6*d + 9*d - 4*d + 2*d.\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1694 divided by -2.\nAnswer: 847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19.68741l to millilitres.\nAnswer: 19687.41","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/2 - (1 - 50). Let d = 3 + v. Calculate the highest common divisor of 13 and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 + (7 + 9 + 2 - 11) + -9.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -791 + 51413\/65. Sort -4, -1\/4, d in ascending order.\nAnswer: -4, -1\/4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.13 (b) 19 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33183*z - 15429*z - 17758*z.\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 455 is divided by 169.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kck when three letters picked without replacement from {t: 3, k: 6, c: 7, v: 3}.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 6*j**3 - j**2 + 119*j - 120. Let m be y(1). Suppose -25 = -9*f + 4*f. Sort -3, -4, m, f.\nAnswer: -4, -3, m, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {k: 2, j: 1, u: 4}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -11728, -11743, -11756, -11767?\n\"Answer: x**2 - 18*x - 11711","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 2*b - 331, 4*o + 4*b - 769 - 543 = 0. What is the hundreds digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (-1 - 0) + (22 - 26).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 4*p + 3. Let b = -3 - -5. Suppose 5 + 3 = b*i. Is g(i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssss when four letters picked without replacement from {s: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 - -21. Suppose l*q + 5400000 = 5*q. What is q rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 21 - (-31 - (51 - 99))\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 5*k - 14 = 2*d, 0 = -3*d - 3*k - 12. Which is smaller: d or -7\/2?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l*l**(-14\/5))\/l)\/l)\/(l\/(l*l**(-3\/11)\/l)))\/((l\/l**(-16\/7))\/l**(-29)) assuming l is positive.\nAnswer: l**(-14383\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -3*d + 58, 0*d = -2*d + k + 35. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c**3 + 8*c**3 + 2*c**3 + 14*c**2 - 12*c**2.\nAnswer: 8*c**3 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.25 and -18.205179.\nAnswer: -17.955179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -470052 - 15*x**2 + 470052.\nAnswer: -15*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(0 + sqrt(72)) - -5*(sqrt(72) - 1*sqrt(72))) + -5*1*sqrt(72) + -3)**2.\nAnswer: 288*sqrt(2) + 4617","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -431\/5 - -3503\/40. Let t = 13\/16 - w. What is the common denominator of -75\/4 and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -3. Let q = -1 - -4. Let z(i) = i - 4. What is q*h(j) - 2*z(j)?\nAnswer: -2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*l - 169368 - 78764. Let t = 27033 + l. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-23 - -21)*(-36)\/1. What is the greatest common divisor of 90 and o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -303 or -304?\nAnswer: -304","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -10*g**4 - 19*g**3 + 34*g**2 + 11. Let v(l) = -l**4 - l**3 + 2*l**2 + 1. Let n(q) = -2*k(q) + 22*v(q). Let n(x) = 0. What is x?\nAnswer: 0, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18138959 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 224\/3*r**4 + 1339415\/3*r**2 + 64729\/6*r**3 + 89480468\/3 - 23822722\/3*r + 1\/6*r**5.\nAnswer: (r - 7)**2*(r + 154)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**0*n**5)\/n**(-1\/24))**(-24))**20 assuming n is positive.\nAnswer: n**(-2420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -477398, -954671, -1431944, -1909217, -2386490, -2863763?\nAnswer: -3341036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11483, -46082, -103747, -184478, -288275, -415138, -565067?\nAnswer: -738062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + 96\/(-8) - (1989\/(-72))\/(-17)?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 19519*c*w*x + 5*c*w + 6*c*x + 2*c + 4*w*x - 76*w - 88*x - 13 wrt c?\nAnswer: 19519*w*x + 5*w + 6*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -8*y**2 + 16*y + 34. Let l(j) = -5*j**2 + 8*j + 17. Let x(u) = 3*k(u) - 5*l(u). Is x(-25) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -6*p + p + f, 2*f = -4*p + 34. Calculate the remainder when 13 is divided by p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 4*v**2 - 20*v + 51. Let f be s(5). Solve f*t - 65 = 241 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 973181033 to the nearest integer?\nAnswer: 991","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 853497 (base 11) to base 3.\nAnswer: 2120102001212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*k - 7*k - 4*k.\nAnswer: -16*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/5 of a meter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-132)\/11 - -25) + 100044\/154*(-1)\/50.\nAnswer: 2\/275","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 3406?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -344 (base 12) to base 11.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -o + 3, -3 = 2*o + t + 4*t. Let s be 2\/o*(2 - 0). Let l = s + -4. Which is greater: l or -2\/21?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*i + 11*i + 6*i.\nAnswer: -9*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5670\/72)\/7*-4.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is 1083246383 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: How many minutes are there between 4:07 PM and 6:15 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, m: 1, s: 7, x: 1, z: 4, n: 2}. What is prob of picking 1 n, 1 m, and 1 t?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -131 + 133. Solve -w*y = -y - 5 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/(-6))\/(2\/8) - -1. Sort 1, p, 5 in descending order.\nAnswer: 5, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of -s**6\/20 + 3*s**5\/2 + 157*s**4\/8 - 5*s**3 - 117*s**2 - 499*s + 2. Suppose g(j) = 0. What is j?\nAnswer: -6, -1, 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.006750389 to four decimal places.\nAnswer: -0.0068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 77 = -2*v - 11, 2*n = -10. What are the prime factors of v?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -11 + -1a08?\nAnswer: -1a19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -3*g + 1. Let b(n) = -n + 4. Let c be b(4). Let j(i) = i**3 + i**2 + i - 4. Let o be j(c). List the prime factors of w(o).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -5\/213?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4065?\nAnswer: 3, 5, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12373 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 12515 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4542231 (base 6) to base 11.\nAnswer: 148792","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2\/4441 - 17842\/173199. Let l be (-1)\/4 + 772\/(-3120). Let q = l + i. What is the nearest to 0.1 in -3\/4, -3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 16\/(-2)*(-8 - -6)\/4. Suppose -2*i = -t*u + 3*i - 15, -4*i + 12 = 4*u. Suppose 0 = 2*s + s - 9. Sort u, s, 2 in increasing order.\nAnswer: u, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 + 2*j**2 + 4*j + 1. Let d be s(-4). Let y = 91 + d. Is 17 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of -u**6\/30 + 34*u**5\/5 - 793*u**4\/2 + 4556*u**3\/3 - 4489*u**2\/2 + 400*u. Suppose s(n) = 0. What is n?\nAnswer: 1, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.1851944 hours to days.\nAnswer: 0.0493831","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-63)\/6048 - (-6727)\/672?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 59670\/(-7395) + ((-4)\/(-58))\/1. What is the third smallest value in s, 1, -2\/17, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/3, -247\/82, -21\/4?\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 - -1384409.\nAnswer: 1384414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 + 5*g**2 + 4*g + 5. Let w be y(-5). Suppose 5*v = v - x + 21, 0 = 5*v - 5*x - 45. Is v\/w + 37\/5 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 - 4*v**2 + 4*v. Let l(r) be the third derivative of r**5\/60 - r**4\/24 - 2*r**2. Let y = 2 + -1. Calculate y*g(f) + 4*l(f).\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2469 - 2456. Solve -c - 65 = -26*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 50?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -386, -592, -798?\n\"Answer: -206*r - 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-172)\/(-36) + 3\/(-81)*-6. Let g(m) be the third derivative of -w*m**2 + 2\/7*m**3 + 0*m + 0 - 1\/105*m**5 + 1\/21*m**4. Determine c so that g(c) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2\/7 - -1\/28. Let v = 4.4 + -5. Let r = 1.6 + v. Which is the closest to y? (a) 2\/3 (b) r (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1664 + 2367. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -560 - 29852?\nAnswer: -2a1b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 6*k - 17. Let w(i) = -2*i + 6. Let g(x) = 6*f(x) + 17*w(x). Let s(v) = -2*v**2. Give g(s(b)).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d. Suppose 0 = r + s - 18, 0 = 3*r - 6*s + 2*s - 54. Let q(f) = 17 - r - 2*f**2 + 29. Give l(q(t)).\nAnswer: 2*t**2 - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9549 is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 2*j = -8 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 233 a factor of 1315518?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -10743649?\nAnswer: -21487298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 177*((-22)\/(-24) + 12\/(-48)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/2*2\/4. Let f = -4 + j. Let w = f - -2. Sort w, 0, 5 in descending order.\nAnswer: 5, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3120, -6212, -9304, -12396, -15488?\nAnswer: -18580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(1 - 3 - -4). Suppose -5*s = -c + 6 - j, 0 = 3*s. Suppose -4*u + c*p = 0, 0*u - 20 = u + 3*p. Put 5, 2, u in ascending order.\nAnswer: u, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 172506.8 millilitres to litres.\nAnswer: 172.5068","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of -11*y**4\/24 - 273*y**2 + 2. Let k(d) = 136*d**2. Determine b(k(o)).\nAnswer: -1496*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -165*k**2 + 112*k**2 + 59*k**2 + 28*k - 4. What is s(-4)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2078, 1987, 1896, 1805, 1714, 1623?\n\"Answer: -91*f + 2169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1121223 (base 4) to base 13\nAnswer: 27c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-288)\/(-1872) - 365\/1105?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*b*d**3 - 60*b*d*k + 8*d**3*k + 6*d*k wrt b?\nAnswer: -2*d**3 - 60*d*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -2*f, -3*n - 2*f = f. Let w = n + -5. Put w, 1, 0 in decreasing order.\nAnswer: 1, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/((g*(((g*g**(13\/2))\/g)\/g)\/g*g)\/g*g*g)*g**(-17\/4)*g*g**9*g\/g**(-14) assuming g is positive.\nAnswer: g**(57\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28, -64, -102, -142, -184, -228?\nAnswer: -274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 + 20*l + 53. Let w be b(-17). Factor -4\/5 + 2\/5*o + 2\/5*o**w.\nAnswer: 2*(o - 1)*(o + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 78462 and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3 + 3 - 1)*(-d + 0 + 0) + 0*d - 3*d + 0*d)*(-3 - 2 + 0) to the form a + f*d and give f.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/74105526 and 35\/13473732.\nAnswer: 148211052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -95.72 - -0.72. Let t = -100 - w. Let j(u) = u + 8. Let d be j(-6). Is t > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2 + -0.19. Let k = h - 5.01. Let v = -10 - k. Which is the second smallest value? (a) 0.4 (b) 2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (30 + -2 + -8 - 2) + -10 + 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -8 + 2*t**2 + 0 + 8. Let y(s) = -3*s**3 - 3*s**2 + 2. Let v be y(-1). Let c(w) = -3*w**v - 879 - 21*w + 879. Give c(m(p)).\nAnswer: -12*p**4 - 42*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 5*i + 66 - 35 = 0, 2*y = -3*i - 1 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 1\/3, 29783?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 17 (base 12) to base 13\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 3*q**2 + 21*q - 51. Let i be c(3). What is the highest common factor of i and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (207\/36 - 8)\/((-3)\/20). Which is the third smallest value? (a) -3 (b) -1 (c) -2\/5 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9\/158 + 10399\/1896. Let g = -9123 + 246293\/27. What is the common denominator of q and g?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/9)\/((-2)\/171). Let i = y + -26. Let h = i + -5. Is h a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 divided by 2?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -1\/33584391?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*r + 63 = -154 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 + 20*o - 12. Let d be y(-16). Let l be (-6)\/27 + d\/(-18). Let h(n) = -n**3 + 5*n**2 - 3*n - 1. List the prime factors of h(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 + 3 = n - 3*v, -90 = -2*n - 4*v. What is the highest common divisor of 11 and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -667 = -10*w - 17*w - 2*w for w.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0304903 to three dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a millennium in years?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-105)\/3*(61\/(-61))\/((-5)\/2)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 670\/402*(-2 - -5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 13\/(-13) + -1*3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) 1\/5 (c) 4\/7 (d) 3\/2 (e) 0.6 (f) 5 (g) 1.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of -2*b**3\/21 + 83*b**2\/7 - 164*b\/7 - 7746. Factor w(x).\nAnswer: -2*(x - 82)*(x - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 753 - 347. Does 39 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 5456 + 3518. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(120))\/sqrt(5)*-6)\/(-2*sqrt(108)*4))**2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 + 1. Let i(x) = -x**3 - 4*x**2 - x + 2. Suppose -4*q + 3*q + 5 = d, q + 4 = 2*d. Give q*k(u) - i(u).\nAnswer: -u**3 + 4*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-17)\/(-34))\/((-193)\/(-772))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 38 - -31. Suppose -184 = -a + v. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (2538\/(-45))\/(-3) + 4\/(-5) and 63.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -137*h + 836. Determine g(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29419 is divided by 78.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence js when two letters picked without replacement from {z: 7, s: 4, j: 2}.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*u - 4*u**3 - 5*u + (-u**2 + u**2 + 2*u**2)*(-5*u + u + 2*u) + 2*u**3 + 51 - 2*u**2 - 51 in the form b*u**2 + q*u + v + j*u**3 and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*r - r + 0*r)*(6*r + r + 3*r) + 0*r**2 - 3*r + r - r**2 to m + z*r**2 + i*r and give z.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 504?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 10 - (-49 + -24 + 4)\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-105)*-1)\/(6\/(-9))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 AM and 10:08 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1000)\/6000)\/(2\/48*-2). Factor 10\/13*q + 2\/13*q**t - 12\/13.\nAnswer: 2*(q - 1)*(q + 6)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (6 - 0 - 8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wd when two letters picked without replacement from ggwwgwwwgggdgdw.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/7 + (-25461)\/287. Let r = o + 96. What is the remainder when 17 is divided by r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j be ((0 + -3)*1)\/((-82)\/1066). Suppose 2*f - 3*y - j - 21 = 0, 0 = 4*y + 16. Solve z + n - 6*n + f = 0, -3*z - 22 = -5*n for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/5 (b) -0.1497 (c) -0.5 (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/((4*sqrt(324) - sqrt(4)) + sqrt(4)).\nAnswer: sqrt(3)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/5 - (1751\/(-510) + 4))\/((-1)\/276)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -433, 141, 1709, 4769, 9819, 17357, 27881?\nAnswer: 41889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 + 13*c + 15. What is z(-11)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 81504750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 563040 by -3128.\nAnswer: -180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2*sqrt(1100)*2 - ((sqrt(44)\/sqrt(100))**2 + (0 + sqrt(11) + 5)**2 + sqrt(11))).\nAnswer: 2733\/25 + 153*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -2*g + 6. Let x = g - 9. Let l be 7 + (x - (-2 + 1)). Solve l*k = -7 - 8 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 7634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 15270\/1949 = 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**4\/6 - 2*u**3\/3 - 5*u**2\/2 + 3*u.\nAnswer: u*(u - 6)*(u - 1)*(u + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 191994?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9 - 13ab1e4?\nAnswer: -13ab1ed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2 - 1 + 0*v**2 + 19*v**2 - v. Calculate the remainder when s(1) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s**3 + 7*s**2 + 7*s - 6. Let a(v) = -v**2 + 49*v + 594. Let g be a(-10). What is j(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7497?\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**5\/7 - 166*p**4 + 129294*p**3\/7 + 1150558*p**2 + 7660192*p\/7 - 2263176 = 0. What is p?\nAnswer: -43, -2, 1, 238, 387","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence out when three letters picked without replacement from uuuuuiouutiitiit?\nAnswer: 1\/160","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of -233123 and 203506.64.\nAnswer: -29616.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 48125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 18756211 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/9, 1\/46, -0.1, 1\/3, -0.22?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 5:44 AM?\nAnswer: 1:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 5.303537 grams?\nAnswer: 0.000005303537","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -4 - 32220\/5012.\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -1458*l**2 + 57 - 20*l + 1459*l**2 - 8*l. Is w(30) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 16*o**3 + 23*o**2 + 24*o + 57. Suppose 0 = -3*f - 5*d - 69, 2*f + 3*d - 4 = -50. Let v be h(f). Round v to the nearest 10000.\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h**3 + 4*h**2 + 4*h + 3. Let s(n) = -2*n**3 + 3*n**2 + 3*n + 2. Give -4*s(a) + 3*t(a).\nAnswer: 2*a**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 0\/(-1)*(-25 + 24) + 18 and 2250?\nAnswer: 2250","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1978.34 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 170057?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r - r**2 - 2*r)*(-2 + 3 - 2) + r**2 - 9*r - 6*r + 6*r.\nAnswer: 2*r**2 - 9*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 + 14*f**2 - 13*f + 4. Suppose 2*o = -0*o + 26. Let l be u(o). What is the nearest to -1 in -0.3, 0.1, l?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*o**2 - 2 + 2*o - 3*o**2 + o**3 - 3*o**2 + 2*o**4 in the form f*o + w*o**2 + l + g*o**3 + a*o**4 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(130)\/(sqrt(15)\/sqrt(3)))\/((sqrt(24)\/sqrt(2))\/sqrt(6)) + (sqrt(65)\/(sqrt(15)\/sqrt(3) + sqrt(5)) - 6*sqrt(52)\/sqrt(4)))**2.\nAnswer: 1033\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 300 and 33.\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54317151?\nAnswer: 3, 7, 862177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + -1. Let j = -0.2 + 0.3. What is the closest to n in j, 3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y - 8*y + 5*y)*(-1 + 0 + 0)*(-12 - 17 - 7).\nAnswer: -180*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m and 1 y when four letters picked without replacement from {d: 4, m: 6, y: 9}.\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 AM and 5:46 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5520.62l?\nAnswer: 5520620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) 3\/5 (c) -4 (d) 5 (e) -2\/9 (f) -76\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 10:52 PM?\nAnswer: 9:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2992 - 2073. Suppose 14 = 4*z + r, -4*r = 4*z - 2*z. Suppose k - z*k = 4*y - 729, 4*k + g = 5*y. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 148 - 95 = 0. Suppose 3*h - 24 - l = 0. Suppose -33*u = -h*u + 2. Solve -9 = 4*z - u for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1066 take away 6643339?\nAnswer: -6643338.8934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14202 = 6*b + 5136. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k + 18. Let c be p(-9). Let x = 18 - c. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 + (-23 - -17 - (0 + 2))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bv when two letters picked without replacement from bbrbrbbvrbrssss.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/63 and -8\/21.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 16 = -k. Suppose -10*r + 324 = -276. Let v = k + r. Is 22 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 8*s**2 + 925*s + 4. Let x(a) = a**2 - 14*a + 1. What is -f(h) + 6*x(h)?\nAnswer: -2*h**2 - 1009*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f + 1. Let o = 6 - 8. Let s be 1 + 4\/2 + o. Let q(j) = -5*j - 4. Give s*q(a) + 4*p(a).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7949 is divided by 994?\nAnswer: 991","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -7 + 3 - 2 + 1 - 2*z. Suppose -4*t - 16 = 2*g, -5*g - t + 2*t = -15. Suppose 0 = -k - 2 - g. What is u(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-377 - -161) + 233 + (-68 - -1)\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - 86\/(-11)) + 52\/286. Solve -11*h + 12 = -u for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -32.0699 - 0.3101. Let y = z + -0.62. Which is smaller: 1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152) + 3*2*sqrt(152) + sqrt(152) - sqrt(152))\/((sqrt(72) + sqrt(8))*5)*-4.\nAnswer: -7*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 0)*(-2 + 3 - 3)*(-2 - 2*r + 2)*(-r + r**2 + r)*(12 + 19 - 10)*(r**2 + 3*r**2 - 3*r**2).\nAnswer: -252*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18800 - -11007. What is h rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/10*(-30)\/(-96).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 1028*t**2 + 683*t**2 + 1 + 684*t**2 - 317*t**2.\nAnswer: 22*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 2:09 PM?\nAnswer: 4:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -49 - -51. Suppose 0 = -5*p - z + 142. Suppose 0 = -2*o - 26 + p. Put o, -8, -3 in increasing order.\nAnswer: -8, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/6 - 59*p\/6 + 4318\/3.\nAnswer: -(p - 68)*(p + 127)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 5553.024nm?\nAnswer: 0.005553024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -349246719 - 512*v + 349246719.\nAnswer: -512*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/4*-2*15604\/(-66317).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -21.9 * 16.555\nAnswer: -362.5545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 10) to base 16\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3109 - 3101. Let q(s) = s**2 - 9*s + 10. Let h be q(7). Let y = h - -8. Solve y*b - 4 = 2*z, -2*z - 3 - o = 3*b for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 681 and 2497?\nAnswer: 7491","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20.71 - 12.08. What is m rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -3*t**2. Let w(h) = -7*h**2 - 19. Determine b(w(o)).\nAnswer: -147*o**4 - 798*o**2 - 1083","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/5 + 2443*q\/5 - 1268806\/5.\nAnswer: -(q - 1694)*(q - 749)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.176791927 rounded to 0 dps?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/300 and (4\/(-6))\/((-435)\/(-198) - 50\/20).\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 + (19 - -1) + -24.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 639 and 263154897.\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -3 + -2 + 19 + -13?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of 0*f**2 - 2*f - 1\/2*f**3 - 1\/12*f**4 + 0. What is the second derivative of r(a) wrt a?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 99 + -98.8. Let g be 24\/(-3) - (-1328)\/168. What is the third biggest value in 0.4, g, c, 0.5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17937120?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 5 + 4 + p)*(-3*p - 3 + 3).\nAnswer: -3*p**2 + 21*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 592060?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 15355 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-36)\/135)\/(2\/(-2)))\/(66\/15)?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 4154 = 4126. Suppose -3 = -j + 5. Solve 0 = -j*m + k*m + 3 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-4))\/((-187)\/(-2244)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 9*z - 8. Let m(w) = -9*w + 7. Let v(i) = -4*h(i) - 3*m(i). Let x be v(6). Let g = x - -59. Calculate the greatest common divisor of 48 and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11529 divided by -1281\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t**4 - 4*t**4 + t**4)*(-328 + 15927*t - 317 - 313 + 958).\nAnswer: 15927*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -80, -4, -50, 5 in decreasing order.\nAnswer: 5, 4, -4, -50, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(117) - sqrt(117)*-2).\nAnswer: 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6638 and 76010.\nAnswer: 504554380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(304)*4 - sqrt(304))*3 - (sqrt(304) - -3*sqrt(304))**2*-6).\nAnswer: 36*sqrt(19) + 29187","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 45\/4 of a kilogram?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -312*o + 458*o + 74724 - 273879 = 2489*o for o.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.3 from 0.00345.\nAnswer: -0.29655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1889\/35 + 375\/7. Let u = 0.07 - -0.23. Let j = 1.8 - 2. Put z, j, u in increasing order.\nAnswer: z, j, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1ebc - b?\nAnswer: 1eb1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179259 is divided by 3093?\nAnswer: 2958","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p - 2*p - p)*(p**3 - 5*p**3 + 3*p**3) - p**4 + 5*p + 0*p + 0*p**4.\nAnswer: p**4 + 5*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-30)\/(-6) + (1 - 1). Suppose 5*o + h - q = 9, -4 = -3*o - 5*h. Which is the second smallest value? (a) 0.4 (b) o (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 11:08 PM?\nAnswer: 3:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1514?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v + 9. Let h(i) = 20*i + 17*i + 14*i - 85*i + 17*i. Give h(c(f)).\nAnswer: 34*f - 153","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/55*(-76)\/(-43). Let p = i + -1374310\/1419. Let t = p - -988. What is the common denominator of t and 23\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 258*f + 270*f - 200 = 0, -95 = -5*z - 5*f for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*m, 13 = -5*d - m - 13. Let x be (-3)\/(-6) + d\/(-4). Factor -2*z**x - z + 0*z**2 + 3*z.\nAnswer: -2*z*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -96\/5 - -19. Let t = 11 - 10.2. What is the third smallest value in t, -3, b?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21 + 42. Let l = -35 + q. Let v = l + 34. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 64409.63 weeks?\nAnswer: 38954944224000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 29 + 2)*(4*n - 5*n - n)*(2 - 2 - 4).\nAnswer: 264*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from wwqwqwdqqdddwwdwwddd.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 3*j + 133 = 0, 3*j - 26 - 89 = -4*l. Let p = -27 + l. Suppose 24 - 76 = -p*x. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gge when three letters picked without replacement from gegegggggeegggge.\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + 39. Let j = -114 - -159. Calculate the highest common divisor of j and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 373 - 205. What is the common denominator of (12\/g)\/(2\/(-202)) and 22\/(-20) + 0 - -1?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 866 is divided by 848?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.3 - -12?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 990993278?\nAnswer: 2, 11, 29, 1553281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1460395 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum 804815040351 and 0.3.\nAnswer: 804815040351.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 3 + 0 + -3 - 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -258678 by 9.\nAnswer: -28742","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -9*v - 53. Suppose -35 = 2*i + 5*f, -2*i - f - 14 = f. Give y(i).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 6) to base 3.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 0 + 2 = 0. Suppose -3*o = -j*l - 16, 4*o - 1 - 5 = -5*l. Suppose 5*k = o*k. Solve -z - 4 + 0 = k for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 13*k**2 + 174*k + 324. What is g(-2)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*p = 30*p + 873. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -7*f - 10. Let w(g) = g. Let u(z) = -v(z) - 3*w(z). Let q be u(8). Suppose -3*r + 235 = 2*r - 5*c, 2*c = r - q. List the prime factors of r.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 3*o + 12, -3*c - 4*o = -2*o - 8. Suppose c = 4*m + 1526 + 94. Let x = -25 + m. Round x to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(22)*5 - sqrt(22))\/sqrt(11)*-3.\nAnswer: -27*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 401 is divided by 29.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 80a41 (base 11) in base 2?\nAnswer: 11100111001101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2*q + 0 + 0)*(-1 - 2 + 2) + 2 - 2 + q + q - 2*q + 0*q)*(-2803 - 912 - 162)*(-2*q + 8*q - 2*q) to the form l*q + y + f*q**2 and give f.\nAnswer: -31016","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from aaffaaaaaaaafaaffaa.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -127 or -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 = 16*h - 20*h + 3*y, 5*y = 2*h - 65. Solve -h = -2*t - 8*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*h = 27*h - 5382. Let v(s) = s**2 - 2*s + 2. Let p be 1\/(-3) - (-51)\/(-9). Let n(k) = -18*k**2 + 39*k - 39. Determine h*v(o) + p*n(o).\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 37 + -35. Suppose 3*a + q*a = 0. Are a and 2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1374 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -51 + 50.8. Let o be (-12)\/(-4) - 4555\/1469. Let y = 6\/113 - o. What is the biggest value in y, 4, p?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*q**2 - 6*q**2 + 10*q**2)*(3*q - 6*q - 4*q)*(-2*q + 1 - 1 + (-1 + 0 + 0)*(3*q - 4 + 4)) to d*q**2 + k*q**4 + z + y*q + t*q**3 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**5 + 2534*m**4 + 808794*m**3 + 3795074*m**2 - 58624948*m + 95558640 = 0. Calculate m.\nAnswer: -631, -12, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + (-22)\/(-741)*33. Let o = 1454608\/411 + -5025698003\/1421238. Let j = o - a. What is the common denominator of 71\/12 and j?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 + 1. Let f(w) be the third derivative of -11*w**5\/60 - w**4\/12 + w**3\/6 - w**2 - 489. Give -f(j) + 2*k(j).\nAnswer: 13*j**2 + 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of -433*o**4\/12 + 2*o**3\/3 - 22*o**2 + 259*o. What is the second derivative of d(s) wrt s?\nAnswer: -866","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*k + 525 = 3*k. Is 16\/(-56) + (-23043)\/k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, -56, -8 in increasing order.\nAnswer: -56, -8, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/175 and -47\/2965200?\nAnswer: 2965200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -31.79 to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32236?\nAnswer: 2, 8059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -9*a**3 + 9*a**2 - 58*a - 265. Let k be b(-5). What is the highest common factor of 2420 and k?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 - 6 - 11 + 36 - 2*g**2.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f - 2. Let w be o(5). Let b be 3 + -7 - (-138)\/99*3. Factor -16\/11 + b*i**w - 12\/11*i**2 + 24\/11*i.\nAnswer: 2*(i - 2)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 27*m + 7321 - 8104 for m.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 + 77 = 14*k. Suppose 5*d = -3*w + 6, 6*w - 8*w = -d - k. Solve d = 12*o - 6*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66*4\/(36\/3).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6 - 2)*2\/(28*22\/231). Solve -15*w = -14*w - u*h + 10, -4*w = -4*h for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -2. Suppose -83*v + 107 = -138*v - 3. Which is the third biggest value? (a) z (b) 5\/3 (c) 3 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - -1. Suppose 0 = t - d + 3*d - 18, -n*d = t - 17. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -2*n - 6 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - -2cdb?\nAnswer: 2cd6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 234 and 317421.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6733, -14271, -21811, -29353, -36897?\nAnswer: -44443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6016*g**3 + 32*g**2 - 23*g - 1 wrt g?\nAnswer: 36096","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -172*j - 104*j + 32*j + 5*j.\nAnswer: -239*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + (-100)\/14 + -6?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 144 divide 115584?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from bmmmmbmmbbbbmb.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -12*d - 10. Let z be h(-6). Let o = z - 12. Let u be 2\/(-4)*o\/(-5). Solve f + 3 = u*s, -3 = -2*s - 2*s + f for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-15)*1*9?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -48 - 4120*m - 120 + 1 + 4115*m. Determine l(-35).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(5\/3)\/((j\/(j*j**(3\/23)))\/j*j) assuming j is positive.\nAnswer: j**(124\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*o + 104*o = 5*t - 30, -t + 42 = 5*o for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 15) in base 6?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-1) + (759 - -1) + -5 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = g + 13. List the prime factors of g.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -37 < -36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.2, 3\/598, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 401 + 1435 = -9*y. Let q = y + -2227. Let g = q - -3470. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -210\/541297 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -4*h, -5*f + 0*h = 2*h. Suppose f = -a + 4*a - 15. Suppose a*n = 2*n. Round n to one decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 242 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 - 2)*(0*p - p + 3*p)*(-p**2 - p**2 + 4*p**2)*(-1347 - 1234 - 1747 + 1077) to j + t*p**3 + u*p + i*p**2 and give t.\nAnswer: 13004","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 + 12*z**2 + 14*z - 8. What is v(13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11064043799 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -12*y + 1. Let k be r(1). Let q(n) = -n**2 - 12*n - 7. Let p be q(k). Let h be 0 + (-1)\/(2\/(-6)). Does h = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 62*l + 14. Let r be h(43). Calculate the highest common factor of r and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*3\/2 + 1. Suppose 0 = 4*k + 4*l - r, -1 = 5*l + 14. Suppose -2 - 6 = -4*o. Solve o*u - k = -p - 2, -3*p + 4*u = 24 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -334973 + 334976. Factor 216\/7 - 232\/7*j**2 - 444\/7*j - 20\/7*j**f.\nAnswer: -4*(j + 3)*(j + 9)*(5*j - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.1, 0.2, -483\/157?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 + (-3)\/(-2 - 1). Let l be (4\/10)\/(1\/y). Which is the second biggest value? (a) -1 (b) 3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1746594020 to the power of 1\/2, to the nearest integer?\nAnswer: 41792","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2330?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 AM and 6:05 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1318*c**4 + 2610*c**2 - 600420*c + 600420*c + 251*c**2 wrt c.\nAnswer: -31632*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -8*q**2 - 21*q + 2. What is i(-3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*q, 4*w - 2*q = -139 + 163. Solve -2*h = 3*m - 21 + 9, w*m = -5*h + 25 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51681543 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -3\/2, 57, -672?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38157?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1305)\/(-70)*(-1 - 1). Which is smaller: q or -38?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -129068 + 193998. Does 230 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 3:02 PM?\nAnswer: 11:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 - 26*y**2 + 25*y + 6. Let s be r(25). Let c(j) = -j**3 + 7*j**2 - 8*j + 6. Calculate c(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 q when two letters picked without replacement from ooooqyuujoujuohqoj.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*i = -44*i - 16046 + 18986 for i.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 3292 + 3282 = 3*w, 5*w + n = -26 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - m = -319. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2591.6 - 2592. Which is the smallest value? (a) 8 (b) 1 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qz when two letters picked without replacement from oqzyzy.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11 + -5?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 b when two letters picked without replacement from hhhaaabhajhbbhaj.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: 16121295 divided by -5\nAnswer: -3224259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*y - 3479 = -445. Let z be 6\/7 - (y\/(-14) + -5). Factor z - 1\/5*g**5 + 1\/5*g**3 + 0*g + 1\/5*g**2 - 1\/5*g**4.\nAnswer: -g**2*(g - 1)*(g + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/62 and -37\/8.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 14 - 31179*a + 46 + 31181*a. Let o be x(-29). Sort 5, -5, -17, o.\nAnswer: -17, -5, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c + 16. Let y be m(-7). Suppose 0*i + i - 3*v - 78 = 0, -y*i - 2*v + 116 = 0. What are the prime factors of i?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(351)*2 + sqrt(351))\/sqrt(9))\/sqrt(3)*-3 + 5.\nAnswer: -9*sqrt(13) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17157, -33660, -50149, -66624, -83085, -99532?\nAnswer: -115965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 10 = 2*j. Let s = -2 - j. Suppose 0 = -2*m - 5*r - 13, 0 = s*m - m - 5*r - 37. 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 k = -0.02 - -3.02. Let b = 39\/32 - -1\/32. What is the third smallest value in k, b, -0.2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -297*x + 3121 + 2907 + 1100 for x.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -15*8\/(-9) + -14. Which is the closest to l? (a) 1\/3 (b) -10 (c) -24 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c**5\/4 - 64*c**4 - 3409*c**3 - 91153*c**2\/2 - 310557*c\/4 + 731745\/2 = 0. Calculate c.\nAnswer: -23, -21, -5, 2, 303","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*g**5\/3 - 60555*g**4 + 825462965*g**3\/3 - 1237361935*g**2 + 1786913775*g - 824645610 = 0. What is g?\nAnswer: 1, 3\/2, 2, 9081","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 + 204 = 33*n. Solve -n*x + 22 = 7 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + 343. Is 36 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k. Let r be 1215 - 3 - (2 - 4)*1. Let m(u) = -674*u**2 + r*u**2 - 596*u**2. What is x(m(y))?\nAnswer: -56*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v. Let h(i) = -2. Give h(s) - 6*z(s).\nAnswer: -6*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**3 - 6*c**3 - 8*c**3)*(-c + 2*c**2 - c - c**2).\nAnswer: -14*c**5 + 28*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s + 32. Let i be b(-13). Suppose 3*g + 4 = i. Let t be (-2 + -1)*(-2 - -1). Solve t*f - 21 = g*l, 0 = 4*f - f - 2*l - 12 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -5*f**2 - 5*f + 1 - 2 + 6*f**2. Let x = -6 + 12. What are the prime factors of y(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + -1 + sqrt(700) + sqrt(700) + -3.\nAnswer: -4 + 21*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -473 and -97?\nAnswer: 45881","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 281 - 498. Let n = w - -118. Calculate the remainder when 43 is divided by n\/(-9) + (4 - 0).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of -t**4\/3 + 6*t. Let o(c) be the first derivative of c**2 - 5. What is o(m(q))?\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 71 - -27. Suppose -4*o + 23*o - 646 = 0. What is the remainder when i is divided by o?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 248*j = 228*j - 380 for j.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 3*g - 13 = -28, -f - 3 = -3*g for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168740 = -1624*d + 6786*d - 3802 + 82838 for d.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y. Let b(k) be the third derivative of 0 + 0*k**4 - 3*k**2 + 0*k**3 + 0*k + 1\/5*k**5. Give b(x(f)).\nAnswer: 48*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2375 and 855.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*q**2 + 3*q**2 - 5*q**2)*(2 + 0 + 1)*(-3*q - 3 + 3)*(0 - 12 - 19).\nAnswer: 1116*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2*q**2 + 4*q - 1. Let f be j(-3). Suppose 2*l = -f*t + 5 + 5, -l - 4 = -2*t. Factor 3*h - 12*h**2 + 9*h**3 + 0 + l - 3*h**4 + 3*h**2.\nAnswer: -3*h*(h - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 5*o + 1 = 26, -4*l - 55 = -11*o. Solve l = -717*p + 718*p + 3 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 19056*f - 1507. Is a(9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 4.5. Let v = 221\/350 - 3\/50. Sort v, 0.1, u in increasing order.\nAnswer: 0.1, u, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-496)\/(-837))\/(1630\/(-4401)).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 141*u**3 - 2*u**2 + 2*u - 1. Let b be h(1). List the prime factors of ((-4)\/(-10))\/(4\/b).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 4*d + d - 30 = 0, 2*d = z. Suppose 2*r - 4098 = -z*r. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (0 - -2 - 9)) + -8\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66 + 14 + 52 + 140325*k**2.\nAnswer: 140325*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/1 - 0)*-7. Suppose 5*s + 2*x - 249 = 0, -s + 57 + 2 = 5*x. Calculate the highest common factor of s and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.17 in 2.9, -3\/2, 0.23, 78?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.13 + -0.186. Round w to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1447393065 to the nearest integer?\nAnswer: 1131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1475, -3654, -9565, -21074, -40047, -68350?\n\"Answer: -311*x**3 - 2*x - 1162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of -i**4\/4 + 5*i**3 + 5*i**2 - 29*i - 8. What are the prime factors of g(12)?\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 968 and 62194.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162271 is divided by 2748.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aco when three letters picked without replacement from {o: 2, e: 1, c: 4, a: 12}.\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1218?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3525*n + 3525*n - 13*n**3 + (-6*n**2 - 6 + 6)*(-2*n - n + 4*n).\nAnswer: -19*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 48 - 996?\nAnswer: -94b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12588296?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - -2866?\nAnswer: 2864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2178 = -5*f + d, -2*f + 1385*d + 876 = 1387*d. Solve -f*a + 112 = -408*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -20*x**3 - x. Calculate g(-1).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - 3 - ((534 - 1) + 3). Is (h\/(-4))\/((-8)\/(-2784)*6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 4*m**2 + m**2 + 24 - 6*m**2. Let r be o(0). Suppose -h = -3, a - 2*h - r = -2*a. Which is bigger: a or 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2*w**2 + 10*w + 7. Determine a(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -70.431291 - -64.06812. Let z = w - -6.358. Round z to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3\/4, -15, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -7.6. Let j = x - -0.4. Let g = 1008.7 - 1008.8. Which is the third smallest value? (a) 1.4 (b) g (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -103344998.\nAnswer: -1\/51672499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of p**4\/12 + 24*p - 15. Let u(l) = -2*l - 2. Let c be u(-3). Let g = 7 - c. What is d(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12368 - -12366. Sort z, 0.4, 4, -15, -6 in ascending order.\nAnswer: -15, -6, z, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eppccqooocucc. What is prob of picking 1 u and 1 p?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 52820683 and 527?\nAnswer: 527","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -7.64337 * 560\nAnswer: -4280.2872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-120) - (-5 + 51\/10)) + (-627)\/(-24).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5502 = 3*w - 4*q, -2*w - 2*q + 3691 = 3*q. Suppose 20 = 5*k, -w = -5*b + k - 3*k. Let d = b - 223. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 - 7*v**2 - v - 9. Let g be h(-7). Let r = 0 - g. Factor 0*f**2 + 6*f - 2*f + r*f**2.\nAnswer: 2*f*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -46 - 8?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 AM and 4:09 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 477341033?\nAnswer: 13, 37, 992393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of -w**4\/24 - w**3\/6 - w**2 + 5. Let y(h) be the second derivative of g(h). What is the derivative of y(x) wrt x?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of 1041*q**3 - 52*q**2 - 2*q - 1738. Find the second derivative of g(v) wrt v.\nAnswer: 6246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26\/(-91) - 123\/(-1288) and (-20)\/80 + (-70)\/(-12)?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2280054077 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -6 in decreasing order.\nAnswer: 3, 1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1052 - -47990937368.\nAnswer: 47990938420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.09 * 29.75.\nAnswer: 2.6775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1216816 is divided by 608401.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 754977610*t**2 + 61098639*t wrt t?\nAnswer: 1509955220","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1352193*i**3 + 1786029*i**2 wrt i.\nAnswer: 8113158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -12124060 divided by -4220?\nAnswer: 2873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(-25)*(10\/6)\/(558\/(-27))?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29, 116, 263, 470, 737, 1064, 1451?\nAnswer: 1898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 673*m - 378 wrt m?\nAnswer: 673","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 PM and 7:03 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7920270 a multiple of 206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-3)\/(-116))*((-1566)\/(-348) - (-63)\/(-12))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x. Let z(p) = 366*p. Calculate z(s(f)).\nAnswer: -366*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of 3*t**8\/448 - 2*t**7\/105 + t**6\/96 + t**5\/120 + 33*t**2. Determine s so that i(s) = 0.\nAnswer: -2\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3585781?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -98 - -72. What is the units digit of (m\/(-5))\/((-1)\/(-60))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*v - 17 + 289. Calculate the remainder when 152 is divided by v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 + 2*c - 10. Let k(m) = m**2 + 5*m - 20. Suppose -25 = -5*p + 4*n, -360*n - 15 = -3*p - 358*n. Give p*t(v) - 2*k(v).\nAnswer: 3*v**2 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*b**3 - 2*b**3 - b**3)*(2 + 3 + 2*b**2 - 7).\nAnswer: 6*b**5 - 6*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 112\/60 + -2 - 894\/45. Let x be 8\/w + (-7208)\/20. Let m = x - -367. Find the common denominator of m and 47\/45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1700 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w**4 + 183*w**2 - 3*w**3 + 4*w**2 - 186*w**2 - 140 as o*w**3 + z*w + k*w**4 + d + m*w**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 919 - 915. Let b(t) be the first derivative of 0*t**3 - 1\/5*t**5 + 0*t + 0*t**x + 5\/2*t**2 - 7. Find the second derivative of b(d) wrt d.\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 449*p - 805*p - 76*p**2 - 46*p**2 + 173*p**2 - 50*p**2 + 356*p.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/2 + 12\/3. Let z = -2 - -5. Let q be (-2 - -3)*(z - p). Which is smaller: q or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -199 + 240. Let r = l - 46. Let n = -80\/153 - -4\/51. Which is the closest to 0? (a) r (b) n (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12129769, 24259535, 36389301, 48519067?\nAnswer: 60648833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -8*l - 15. Let c be s(-2). What is the closest to -2\/7 in c, 1\/16, 3\/4?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**2 + 3*l**2 - 2*l**2)*((-4*l + l + 2*l)*(-1 + 1 - l) - 4 + 3*l**2 + 4 - 2 + 2 - 2*l**2) + 3*l**2 + 2*l**4 - 3*l**2.\nAnswer: 8*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/a**10)\/a*a**(-13))\/(a**(3\/5))**3)**(10\/3) assuming a is positive.\nAnswer: a**(-248\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/3*(8\/220*-305)\/((-536)\/737)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**30)\/d**(-17\/3) assuming d is positive.\nAnswer: d**(110\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (25\/((-15750)\/(-12)))\/((3\/3)\/5)\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -472, -955, -1450, -1963, -2500, -3067, -3670?\nAnswer: -4315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t + 3. Let m be c(-2). Suppose 4*y - d = -1 + 5, 4*y = m*d - 12. Solve 5*w = q + 3*w - 13, -y*q = -3*w - 22 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6691811, 6691795, 6691779?\nAnswer: 6691763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -14528, -58240, -131142, -233234, -364516?\n\"Answer: -14595*x**2 + 73*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-36)\/(-72))*(-3)\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, p: 11, h: 1}. What is prob of sequence phpp?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 + 3*v**2 + 4*v - 4. Let i be r(-4). Suppose -u + 92 = 4*c + 3*u, i = 4*c - u. List the prime factors of c.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 9*i - 6 = 0. Let r be i + -2*158\/(-2). Let s = 223 - r. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(252)*-1 + 5)*-3.\nAnswer: -60 + 72*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -44.99 + 45. Let w = g - 43.01. Let k = w + 43.00008. Round k to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6\/(-3) + 1\/(5\/215)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyrftpfttypep. Give prob of sequence ftp.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -6464751154 take away 76535?\nAnswer: -6464827689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15 in 0.4, 245935, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of -4*w**2 - 3 + 4*w**2 + w**2. Let t(l) = -20*l + 11. Let x(m) = 7*m - 4. Let v(h) = 4*t(h) + 11*x(h). Give i(v(z)).\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 g when three letters picked without replacement from iiiqyog?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -27*a + 0 + a**2 - 6 + 33*a. Suppose -12 = h + 2*h. Let t be h - ((-9)\/(-2) + -3)*2. Give p(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 2*q = -8, 4*g = -0*q - 2*q - 12 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 11, n: 3}. What is prob of sequence vn?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23512, -47005, -70478, -93919, -117316, -140657, -163930?\nAnswer: -187123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -k**3*s**3 + 15*k**3*s**2 + 4*k**3*s - 27*k**3 + 2*k**2 - 18*k*s**3 - 237*k*s**2 wrt k?\nAnswer: -6*s**3 + 90*s**2 + 24*s - 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 3*b**2 - 15*b - 3. Let l be ((44\/(-1))\/2)\/(-2). Let j be p(l). Suppose -6*s = -s - j. Calculate the remainder when s is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 - 2*m**2 + 73*m - 33*m + 3 - 35*m. Let c(n) = n**3 - 2*n**2 - n. Let g be c(-1). Let l be ((-6)\/g)\/((-6)\/(-8)). Calculate b(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/z**(-9))*z*z*z**(-5\/2))\/(z**(2\/5))**49*(z**(1\/2))**(5\/9)*(z**2*z)**(-12) assuming z is positive.\nAnswer: z**(-2917\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -758425, -5, -1.\nAnswer: -758425, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*s + 7 - 47 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m**2. Let a(r) = -9*r + 8*r + 2*r. Calculate a(t(u)).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1986150, -1986197, -1986276, -1986387?\n\"Answer: -16*j**2 + j - 1986135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*o - 4*o - 6*o)*(-4*o - 2*o**2 + 4*o)*(4 - 2 - 3) + o**3 + 2*o**3 - o**3.\nAnswer: -52*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6565 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 23165\/18, 0.1, 1.1, -1.\nAnswer: -1, 0.1, 2\/9, 1.1, 23165\/18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -4*u**2 + 64*u - 48. Calculate q(15).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l = -4*f - 2*l + 2, 0 = 7*f - 2*l + 2 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7*(-3)\/14)\/((-9)\/(-8)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s + 258. Let w(f) = 64*f. Give g(w(q)).\nAnswer: 64*q + 258","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4*(-4 - 89\/(-22)). What is the closest to 0.1 in 1.5, k, -5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*g + 0 + 1 - 3)*(3 - 4 + 4)*(-2*g + 6*g - 17*g) to q + k*g + a*g**2 and give k.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 792 and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 21.5, -1\/2, 47\/96?\nAnswer: 47\/96","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 5*o - 29 = 0, -207915*j + 55*o - 37 + 110 = -207918*j for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -o**2 + 504*o - 63504 = 0.\nAnswer: 252","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*p + 32996 - 33626 = 0 for p.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13*k**2*r**2 + k**2*r + 42400*k**2 - 33*r**2 + r wrt r.\nAnswer: 26*k**2*r + k**2 - 66*r + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of 35*u**2 + 229\/6*u**3 + 48 - u. Differentiate x(y) with respect to y.\nAnswer: 229","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 - 19*p**2 + 229*p - 795. Let i be c(5). Factor i + 2\/9*x**2 - 2\/3*x.\nAnswer: 2*x*(x - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1201, 2392, 3583, 4774?\nAnswer: 5965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -6 + (-574)\/(-80) - 1\/(-5) and 67\/216.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -7351*l**3 - l**2 + l + 1. Let s be k(-1). Let p = s + -117543\/16. Calculate the common denominator of p and -55\/38.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 227634 * 636.\nAnswer: 144775224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 x, and 1 c when three letters picked without replacement from xgjjjjjjxjjjxxc.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116411942.\nAnswer: 2, 58205971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, o: 2, d: 4, t: 1}. What is prob of sequence tt?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 8:37 PM?\nAnswer: 6:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 3.4, -0.2, 2, 0.08 in ascending order.\nAnswer: -0.2, 0.08, 2, 3.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*f + 21983520 = 471*f. Does 15 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vnvivyxjvyvyvvivyxxy. What is prob of picking 1 v and 2 x?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0544 - 26.3?\nAnswer: -26.3544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 12328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {p: 11, u: 5}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 154 - 170 + j + j. Let b be m(7). Is 1\/(-2) - 615\/b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 83\/3 - 57\/2. Let g = -0.01 + 0.21. Which is the nearest to 2? (a) -1\/3 (b) h (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 268474 and 2410.\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/6*u**4 - 8\/3 - 4\/3*u + 4\/3*u**3 + 5\/2*u**2.\nAnswer: (u - 1)*(u + 1)*(u + 4)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 154\/(-242)*(-11)\/1. Let y(k) be the second derivative of k**5\/20 - k**4\/2 - 4*k**3\/3 + 2*k**2 + 4*k. Give y(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -2 - -6 - 13 - 5 - -2 - 0.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 27506873 a multiple of 851?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 AM and 8:47 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 - -2)*42\/(-4). Let o = q + 60. Suppose 0*b + o = b + 4*d, -5*d = -4*b - 12. Solve -4 = 2*z - 4*w, 0 = -b*z + 5*w - 4 - 3 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 18*v - 749 + 749 + (-7 + 3 + 1)*(5 - 5 + 3*v) - v - v + 4*v.\nAnswer: 11*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 4 + (-3 + 0 + 2)*(5 - 4 - 2))*(-3 - 2 + 3)*(-f + f + f**5).\nAnswer: -14*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 - 3*r**2 - 2*r - 3. What is n(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, 4, -2, 5 in ascending order.\nAnswer: -2, -2\/11, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 + z**2 + 1. Let w be d(-4). Suppose 2*r - 5*k - 41 = -4, 5*r - k = w. Calculate the remainder when 47 is divided by r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -144, 0.05, 1\/2, 4?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2520989078 plus -4157.1?\nAnswer: 2520984920.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - -61 - -77) + -260.\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a + 91 = 107 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 - 9*n + 10. Let j be z(-9). Let l be j\/50 + 34\/5. Suppose 5*r + 34 = l*r. Calculate the remainder when 33 is divided by r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 16*w**3 + 58*w**2 - 120*w - 4. Let o(j) = 5*j**3 + 19*j**2 - 39*j - 1. Let n(l) = -6*g(l) + 19*o(l). Determine n(11).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ibfiffbnf. What is prob of picking 1 f and 1 n?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-4*(-5 + (0 + sqrt(12) + -3)**2 + sqrt(36)\/(1*sqrt(768)))*-3.\nAnswer: -855*sqrt(3)\/2 + 576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z - 4. Let l be r(-4). Suppose -l*a + 2*a = -42. What is the third derivative of 0*y**2 + 4*y**2 - 21 + a - 6*y**4 wrt y?\nAnswer: -144*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4366601 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-6)*(12\/2 + -21). Let a(f) be the third derivative of f**5\/60 + f**4\/4 - 2*f**3 - 2*f**2. What are the prime factors of a(z)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 274878126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10)\/11198*26\/(-65). Let v = -173581\/33594 + m. What is the common denominator of v and 5\/(-74)*-31 + -99 + 96?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54895469 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30, 6, -64, -204, -438?\nAnswer: -790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-60) - (-84)\/285.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 688*u - 9765 = 3995 for u.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 44390429 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22 and (-9)\/6*64\/(-6).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(9\/4)\/b*(b**(8\/11)\/b)\/b*b assuming b is positive.\nAnswer: b**(43\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -3\/4 (b) -0.4 (c) 2 (d) 6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7.89174 decades?\nAnswer: 78.9174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.1 (b) 1\/2 (c) 0.2 (d) -5 (e) -33\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 AM and 1:46 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 5*s = -310683, 15*s - 20*s + 20 = 0. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of s**4\/8 - s**3\/2 - s**2\/2 - s. Let x(i) be the first derivative of l(i). What is the derivative of x(t) wrt t?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (485\/(-10) + -2)\/(3 + -37) and -65\/6.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 5*n - 2*n - 1076, 1077 = 3*n + 3*p. Suppose 80 = 5*i - n. List the prime factors of i*1 + (19 - 15).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**12*x*x*x\/(x*(x*x**(-7)\/x*x)\/x)*x*x*x*x**6\/x*x\/(x*x**(-2\/3)*x))**(1\/12) assuming x is positive.\nAnswer: x**(89\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - (6 - 10) - (-9 - 14).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 9 (c) 1\/8 (d) -0.1 (e) -2 (f) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 123, 2\/5, -33\/7, 0.3, -0.4?\nAnswer: -33\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2004, 4230, 6456?\nAnswer: 8682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6\/11 (b) 2 (c) 3 (d) -62 (e) 16\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -136716811\/16 not equal to -8544802?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 344.5 to 0 decimal places.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*l - 3*l**4 - 2 + l + 10*l + 5*l**3 + l**4 to a*l**4 + k*l**3 + g + h*l + s*l**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*r - 6*r - 8*r + (2 + 5 + 0)*(-5 - 5 - 2 + 2*r) to v*r + g and give v.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 561322160 by -4.\nAnswer: -140330540","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/15334 and 71\/2992.\nAnswer: 122672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-485*d - 459*d - 1026*d)*(-3*d + 6*d - d).\nAnswer: -3940*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 14823563 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (7\/(28\/(-8)))\/(-5*143\/110)\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -11*c**2. Let k(d) = 1268*d**2 + 7. Determine k(u(w)).\nAnswer: 153428*w**4 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4704 and 1212?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = 7*s - 37 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 36614 - 36657 - 1291*w - 13930*w**3 - 1000*w**4 - 12930*w**2 - 29370*w**3 = 0.\nAnswer: -43, -1\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/(-8)*(-92)\/6. Solve 4*m + 0*f - 3*f = l, 3*m - 2*f = 17 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 + 10*o**2 - 28*o + 20. What is x(-13)?\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 133 and 245?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2 = 4. Let z be -7 + 1*i\/1. Calculate the common denominator of -19\/3 and (57\/(-20))\/(z\/18).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13707?\nAnswer: 3, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7055 and 98380564.\nAnswer: 1411","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a decade in months?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 + 4*u**2 + 3. Let k = -10 - -6. Let n be b(k). Let f(o) = -o**3 + 4*o**2 - 2*o - 1. Determine f(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 32\/7 + 8\/7*p - 8\/7*p**2 - 2\/7*p**3.\nAnswer: -2*(p - 2)*(p + 2)*(p + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + -8. Let r(n) = n + 13. Let u be r(v). Solve -u*y + 2 = -1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*z - 23*z + 63 = 0. Does 5 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50701?\nAnswer: 7, 7243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*d**2 - 3*d**2 - 4*d**2)*(-d + 13 - 13) + d**3 + 2*d**3 - 2*d**3.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.73 - -0.39. Let y = n + -0.06. Let h = -4 + 1. Which is the second smallest value? (a) -1\/6 (b) h (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 - 7)*(h + 2*h + 3*h) + 7*h - 23*h - 6*h to f*h + n and give f.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -316*o**2. Let u(v) = -19*v**2. Calculate p(u(y)).\nAnswer: -114076*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 720027?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3235*l**5 + 100*l - 19 wrt l?\nAnswer: 64700*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-1)\/a)**(-10))**(2\/15) assuming a is positive.\nAnswer: a**(4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, -3, 6 in decreasing order.\nAnswer: 6, 4, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1085 + 1084. Put -5, r, -2, -4 in decreasing order.\nAnswer: r, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.6 + 0.7. Let z = x - 4.1. Let l = 4.4 + z. Put -0.5, l, -0.4 in decreasing order.\nAnswer: l, -0.4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4268 (base 9) to base 5\nAnswer: 100030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30525*y**5\/7 - 1617831*y**4\/7 - 1526568*y**3\/7 + 3174300*y**2\/7 + 624*y\/7 = 0. What is y?\nAnswer: -52, -2, -2\/10175, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yccycccccyycccyccccc. Give prob of picking 2 y and 2 c.\nAnswer: 70\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*b + 0*b - b**2 + (-5 - b**2 + 5)*(-2 - 6 + 53) as c*b**2 + t*b + y and give c.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 55521161 a multiple of 107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 44\/12 - (-4)\/(-6). Suppose -4*a = -4*q + 36, l*a - 1 = -4*q - 0*a. Solve -4*m - q = -16 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -17 - 3*c + 5*c**3 + 4*c - 469*c**2 + 457*c**2. Is q(10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -216, -494, -968, -1668, -2624, -3866, -5424?\n\"Answer: -5*c**3 - 68*c**2 - 39*c - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10332 - -3103111121?\nAnswer: 3103100123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-764)\/(-17)*(-4 - -18). Let d = p - 629. Is 1 smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112*b - 4291 + 1379 = 0. Calculate the highest common divisor of 9958 and b.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 8.816223 milligrams?\nAnswer: 8816223","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eee when three letters picked without replacement from {u: 2, e: 8}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-314)\/(-2))\/((-25)\/(-150))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4 + sqrt(475))*-1)**2 - (-4 + 1*sqrt(475) - sqrt(475)))*-4 + -4.\nAnswer: -1984 - 160*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(((-1)\/((-14)\/22))\/((-72)\/1092*13))?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147*m = 111*m - 701502. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-1\/3))**(-11)\/((k\/k**(1\/9))\/k*k*((k\/k**(-2\/21))\/k)\/k)*(k\/(k\/(k*k**(-8))*k*k)*k**(-6))**(-18) assuming k is positive.\nAnswer: k**(16549\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 112727 and 152513.\nAnswer: 2592721","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of 0*z**2 + 2\/7*z**4 - 2\/7*z**3 - 2\/35*z**5 + 0*z + 18. Determine h, given that q(h) = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -544*v = -545*v - 1. Which is bigger: 2\/24995 or v?\nAnswer: 2\/24995","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 2*g. Suppose l + 2*l + 5*w - 16 = g, -5*l + 4*w = 35. Let p be 3\/(-5)*(-15)\/21. Which is the third biggest value? (a) l (b) p (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1507 + 2165. What are the prime factors of x?\nAnswer: 2, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 297799 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 201\/1061 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (11 + -15 - 35) + 140 + -156\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1216, 5, -1, -5, -277, -10 in descending order.\nAnswer: 1216, 5, -1, -5, -10, -277","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (sqrt(320)*-1 + 2 - sqrt(320) - sqrt(320))*5*-2)*6)**2.\nAnswer: -311040*sqrt(5) + 10379664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-14649)\/1584 - (-85 - -76) and 25\/594.\nAnswer: 4752","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 1874812.\nAnswer: 374962.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 47 + 1 = 0. Suppose -n = -9*s + 255. Suppose s = 2*r - 2*a - 45, 0 = -3*a. What is the remainder when r is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 193823 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 - 11*n + 24. Let f be j(-13). Sort -3, 0, 7, f.\nAnswer: -3, f, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zze when three letters picked without replacement from {z: 9, e: 2}?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0447 - -134.9553. Let x = y + -135.372. Round x to 2 decimal places.\nAnswer: -0.37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -136*j**2 - 2447780*j + 4896104.\nAnswer: -4*(j - 2)*(34*j + 612013)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 153*g**2 + 2 - 78*g**2 - 25*g + 0 - 77*g**2 to f + a*g + u*g**2 and give a.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5178, 5385, 5730, 6213, 6834, 7593, 8490?\n\"Answer: 69*a**2 + 5109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - x + 10 = 0. Let g(q) = -5*q - 8. Let f(v) = 238*v - 59*v + 2 - 62*v - 58*v - 58*v. Determine x*g(b) - 9*f(b).\nAnswer: b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 23409 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 AM and 7:44 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -90.735.\nAnswer: 181.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -80.9619 to 0 decimal places.\nAnswer: -81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 8 = v, -5*v = -7*v - 2*b. Factor -v*k**4 - 4 + 3*k**4 - 15*k**3 - 11*k**3 + 26*k - 23 + 0*k**3 + 28*k**2.\nAnswer: -(k - 1)**2*(k + 1)*(k + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 3*g + 0*g + 4*g. Let a(b) = 2*b. Give c(a(s)).\nAnswer: 14*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 0.02, -0.4, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 564 is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1773018, 1773017, 1773016, 1773015, 1773014, 1773013?\n\"Answer: -r + 1773019","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 276772.9 kilometers in micrometers?\nAnswer: 276772900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*k + 1439098 - 1438768 for k.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**(1\/4)\/a)\/a)**(1\/16)\/(a**1\/a)**(-9))\/((a**(-1))**(-21\/2))**(-3\/5) assuming a is positive.\nAnswer: a**(2001\/320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 2)*(4*n - n**5 - 4*n) - 69*n**5 + 134*n**5 - 83*n**5 + 6*n**5 - 7*n**5 + 5*n**5.\nAnswer: -15*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - -9. Suppose -2*s + z = s. Solve 3 + 2 = s*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/5 + ((-75)\/7)\/(-5)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + y + 9 = 2, -3*l + 2*y = -11. Let i(n) = 6 - 5 - l + 3*n. Let f(r) = -3*r + 3*r - 5*r**2 + 4*r**2. Give i(f(c)).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/1272 and 133\/26140284.\nAnswer: 2770870104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 84 - 165. Let z be 8 - ((-184)\/(-2) - 3). Is n > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55749 - 0.19400291.\nAnswer: -55749.19400291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of 0*b**2 + 8*b - 5 + 10\/3*b**3. What is the first derivative of j(x) wrt x?\nAnswer: 20*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.06333421 - 1.38\nAnswer: -2.44333421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -58 + 60. Suppose 3*p + 967 = -2*b + 5037, v*p - 6115 = -3*b. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/3 (b) 2\/5 (c) 304\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 574053421.\nAnswer: 59, 79, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -36*4155\nAnswer: -149580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3*(-12)\/9*-1. Solve -2*x + 0*z = -4*z - 24, g*z + 20 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123949 = -15*s - 124429 for s.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/sqrt(27))**2 + sqrt(2) + sqrt(108)\/sqrt(6).\nAnswer: 2\/9 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1406818, -2812588, -4218358, -5624128, -7029898, -8435668?\n\"Answer: -1405770*t - 1048","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -16 (b) -8.9 (c) 73\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -12197a (base 13) to base 9\nAnswer: -727820","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00009886427007 rounded to 5 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1054 + 0*o + 0*o + 0*o + 1043 + 562*o**2 to f*o + w + b*o**2 and give b.\nAnswer: 562","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 + 5*a - 1. Suppose 0*c = -5*c + 15. Let r be k(c). Suppose 4*y = 2*l + 12, -6 = -4*l - 2*y + 10. Put -3, r, l in increasing order.\nAnswer: -3, l, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 - 1*(19 + -1). Let t be (b\/10)\/((-28)\/70). Solve 0 = w - 5*j + 3 - 31, t*j = -4*w - 8 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6122116?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of -2*j**7\/525 + 4*j**6\/75 + 19*j**5\/75 + j**4\/3 - 3*j**2 - 10*j. Factor k(v).\nAnswer: -4*v*(v - 10)*(v + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y + 7. Let p be d(5). Suppose 3*c - 62 = -p. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.77 - 8.23. What is the nearest to 2 in g, 0.1, -2\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 843?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, k: 1, h: 1}. Give prob of picking 1 h and 1 e.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7725 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1752957, -3505919, -5258881?\nAnswer: -7011843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23021 - 12310?\nAnswer: 10211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 129979346689 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 107482 divided by 4?\nAnswer: 53741\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 711, 5658, 19113, 45330, 88563, 153066, 243093, 362898?\n\"Answer: 709*p**3 - 16*p + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.5442*-1\nAnswer: 0.5442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1278\/(-355)*(-10)\/12*-2 - -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.034 + -4.566. Let a = q + 5. Sort a, -4, 1\/8 in ascending order.\nAnswer: -4, 1\/8, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 270302?\nAnswer: 2, 135151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24021*l - 4608 = 24117*l for l.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 231326789.2 rounded to the nearest 1000?\nAnswer: 231327000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of -1\/3*g**4 + 1\/6*g**3 - 5*g + 0 - 5\/2*g**2 + 1\/20*g**5. Let w be f(4). Let i(r) = -3*r**2. Give i(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 1055\nAnswer: -105.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of u**6\/120 - u**5\/10 + 7*u**4\/24 - u**3\/3 - 10*u**2. Let n be x(5). Solve -c - 3*c = n for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 3*g = 6, 0 = -4*w - 5*g + 34 + 22. Calculate the remainder when w is divided by -1*(-2)\/(-2) - -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2611.2 + 2611.1. What is the closest to a in -2\/5, 5, 20\/7, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5458633 is divided by 1819526.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 0*k - 1. Let d be (-1)\/(-5*k\/2). Suppose 4*y + 2*m - 2 = 0, 0 = y - 0*m + 5*m - 14. Put -0.1, d, y in descending order.\nAnswer: d, -0.1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 - 3*b**2 - 3*b - 1. Let j be z(4). Suppose 5*o = 3*o - 5*p + 12, j*o = -5*p + 8. Sort o, 0, 5.\nAnswer: o, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -62 divided by 16\nAnswer: -31\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -260*b**2 + 275*b - 15 = 0. Calculate b.\nAnswer: 3\/52, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 6040*n + 35. Let w(t) = 2014*t + 10. Give -2*d(y) + 7*w(y).\nAnswer: 2018*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.01*18\nAnswer: -0.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -22a3 - 61?\nAnswer: -2354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 236 - 613 + 312 = 10*p - 195 for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 3400 = -5*b, -2723 = -4*t + 9*b - 12*b. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9304 divided by -1163\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*p - 9527 = -407. Suppose 8*c + p - 344 = 0. Solve 5*l = 5*x + 35, -c + 2 = -x - l for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -29, -1\/10, 1\/2, 5 in increasing order.\nAnswer: -29, -1\/10, 1\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1219 + 970. Is g greater than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 + 6*y**2 - 6*y + 4. Let u be m(4). Let r(c) = -2*c + 27. Let b be r(u). Solve -b*z = 2*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of 2843*u**7\/105 + 947*u**5\/60 + 1136*u**2 - u - 2. Find the third derivative of f(h) wrt h.\nAnswer: 136464*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.2, 2\/511, 4, -0.2, -368?\nAnswer: -368","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 0*a = -10. Let k be (-19 - -16) + 0 + -2 - -8. Solve a*v - k = -v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence miw when three letters picked without replacement from {w: 1, m: 10, y: 1, i: 3, a: 1, t: 3}.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 28938 less than 10?\nAnswer: -28928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -751 - -2157. What is the remainder when s is divided by 67?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 36 - 22 - 252*c.\nAnswer: -252*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0461 times 0.2?\nAnswer: -0.00922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {h: 4, n: 4, c: 10, z: 2}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1848278 (base 9) to base 6\nAnswer: 34112542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 22, 138, 456, 1078, 2106, 3642, 5788?\n\"Answer: 17*c**3 - c**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -3*z. Suppose 238 = s + 5*x, z = 2*s - s + 3*x - 232. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22 - -1010?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -516 = -3*m + 3*s, -5*m + 5*s = 6*s - 836. Suppose -133*f - m = -137*f. What is the remainder when f is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, 14, 4 in decreasing order.\nAnswer: 14, 4, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 104060076 and 4944?\nAnswer: 1236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 2*g - g)*(4*g**2 - 3*g**3 - 2*g**2 + 7*g**3).\nAnswer: -4*g**4 - 2*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v + 1. Let i(h) = 5*h**2 + 3*h - 2. Let g be i(1). Calculate l(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*g = 2*b - 84*g + 14, g + 2 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36*s - 67*s - 98*s)*(2*s + s - 2*s).\nAnswer: -129*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2483406031 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, 3, 53 in increasing order.\nAnswer: -1, 0, 3, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 231*s + 1111*s**3 - 561*s**2 + 561*s**2 - 231*s.\nAnswer: 1111*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3524*-0.2.\nAnswer: -0.07048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 529 != 530?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/21383, 1, 3 in ascending order.\nAnswer: -4\/21383, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 728 = -5*c. What is the tens digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = -p + 11, 14 = -107*a + 104*a - p for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/15 + 2*p\/5 + 56\/15.\nAnswer: -2*(p - 7)*(p + 4)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1681*l = 1682*l - 5*d - 293, 988 = -22*l - 16*d for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -226*c + 20. Let z be j(-4). Suppose -z = -4*b + 824. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 21. Let u = -9 - o. Is 6 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27a50 (base 12) to base 8.\nAnswer: -153434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1067853056 by -6208448.\nAnswer: -172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3\/1118 + -37178\/1677. Find the common denominator of f and 45\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12474 and 3267.\nAnswer: 137214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -5*p**4 + 555*p**3 + 1700*p**2 + 1140*p = 0.\nAnswer: -2, -1, 0, 114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - d - 4*u + 56 = 0, -4*u = -4*d + 84. Suppose 375*y - 371*y = d. Solve o = -5*k - 0*o, 0 = 5*k + y*o for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of 2*b**3\/3 - 3*b**2\/2 - 2*b. Let a be r(2). Suppose -4*z + 5*i = -67, a*z - 77 = 4*i - 0*i. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -232 - 110332?\nAnswer: -111230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 40 = -0*o. Is 118\/o + 12\/(-15) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84791.\nAnswer: 7, 12113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -73*w**3 + 140*w**2 + 1938*w - 3867. What is b(2)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/3*15\/(-1). Let v be (28\/6)\/(12\/(-18)). Let l(o) = -o**3 - 6*o**2 + 7*o + 4. Let j be l(v). Solve x*w + 23 = 4*i - 0*w, 0 = -j*i - 4*w - 4 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2\/7))**(2\/39))**(-11) assuming z is positive.\nAnswer: z**(44\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -58.439531 - 0.6.\nAnswer: -59.039531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 52, 1, -59, 55.\nAnswer: -59, -1, 1, 52, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3244 + 9\/((-2)\/((-20)\/15)). Let r = -1777 - i. List the prime factors of r.\nAnswer: 3, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-37.\nAnswer: 3.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166 is divided by 155?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3019 + 15111\/5. Factor -16\/5*l**4 - m*l**2 + 24\/5*l**3 + 4\/5*l**5 + 0 + 4\/5*l.\nAnswer: 4*l*(l - 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 151\/744464 or 1?\nAnswer: 151\/744464","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*d = 70*d + 2*j - 10, d + j = 8. Solve 4*b - 8*h + 12*h = 4, -3*h = -d*b - 13 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 27*p - 47. Calculate a(10).\nAnswer: 223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 14198172*g + 34254452?\nAnswer: 14198172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 minus 1.03368832?\nAnswer: -5.03368832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 74*k**2 + k + 8*k - 581*k**2 - 470*k**2 + 5*k as s*k + q + t*k**2 and give s.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9393 and 20274.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 5:29 PM?\nAnswer: 2:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 + h. Let t(f) = -5*f**2 + 6*f + 6. Let u be (-2 + -13)*10\/25. Let b(i) = u*n(i) + t(i). Find the first derivative of b(w) wrt w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 477 + -250. Is v a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2223947*c**3*i**3 - 408*c**3*i**2 + 16*c**3*i + 3*c**2*i**4 - 465*c**2*i + 3*c*i**2 - i**2 wrt i?\nAnswer: 13343682*c**3 + 72*c**2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13376 and 41536.\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 173490.\nAnswer: 2, 3, 5, 5783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1456.736 millennia?\nAnswer: 14567.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68925 is divided by 17219?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 10 = 3*h, 8 = h - 134*l + 139*l for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72 + 4*m**3 + 14 + 58 + 3*m**3 + 59*m.\nAnswer: 7*m**3 + 59*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of (-378)\/(-2) - (3 + -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + (-10)\/2)\/1. Let a be 19\/5 + (-1)\/h. What is the second derivative of 5*i + i**2 - 3*i - a*i + i**2 wrt i?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in 358, 12, 26\/11, 0.5?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -69, -70, -81, -108, -157, -234, -345?\nAnswer: -496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-48) - -16*(-9)\/384. Let h be 2\/9 - (-203)\/(-1197). Which is the second biggest value? (a) -0.3 (b) h (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - x - 4*p - 3 = 0, -5*p + 15 = 5*x. Let b(o) be the first derivative of 1\/3*o**x + 0*o + 0*o**2 - 2. Let t(g) = -2*g. Give b(t(a)).\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 493?\nAnswer: 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s - 8. What is the units digit of z(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -2*q**2 - 798332*q + 24750214 = 0.\nAnswer: -399197, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*n**2*y**3 - 13103*n**2*y + 18*n*y**4 - 405*y**4 - y**2 + 2 wrt y?\nAnswer: 18*n**2 + 432*n*y - 9720*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1692 or 1697?\nAnswer: 1697","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 PM and 6:20 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 divided by 20931949?\nAnswer: -24\/20931949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.12 in -19, -3\/7, 4\/5?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -14328*a + 12096. Calculate t(1).\nAnswer: -2232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + b4aa?\nAnswer: b4ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00014554 to five decimal places.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xyxg when four letters picked without replacement from yvvggxxgvxvvx?\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*r - 3*d + 55 = 0, -3*r - 68517 = d - 68514 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 - 11. Solve -k + 5*k = j for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 + ((-68)\/17 - (345076 + 1)*-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = n - 0*n + 7*m + 207 - 198, 4*n + 3*m = 14 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/4)\/(7696\/5772)\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10203 (base 4) to base 3.\nAnswer: 101210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 184510 and 1.\nAnswer: 184511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -120 + 120 + 46*y + 98*y**3 wrt y?\nAnswer: 588*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/3 of a week in hours?\nAnswer: 3416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(0 + sqrt(272)*2 + -5 + -1 + sqrt(272)*-1))**2.\nAnswer: -432*sqrt(17) + 2772","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 401*f - 17*f - 684*f - 1027*f - 105*f.\nAnswer: -1432*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(-56))\/(9\/((-12)\/4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 e when four letters picked without replacement from {l: 2, e: 4, b: 3}.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134 is divided by 48.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 PM and 3:24 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.6 times 156?\nAnswer: 249.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/5))**(25\/2)*o**(-4)*o**(1\/6)*o)\/((o**1)**16)**13 assuming o is positive.\nAnswer: o**(-1295\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of -7*t**2\/2 - 59*t - 10. What is the units digit of g(-19)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 41 - (4 + -34 + 28 - (0 - 1)).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 16741 or 1657358\/99?\nAnswer: 16741","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a centimeter in micrometers?\nAnswer: 84000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + sqrt(26)\/(sqrt(4)\/sqrt(2)) - (sqrt(52) + 2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43 - 43 + 24*j.\nAnswer: 24*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -307, -311, -325, -355, -407?\n\"Answer: -n**3 + n**2 - 307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00349290602 rounded to 6 decimal places?\nAnswer: -0.003493","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 36589 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.059 - -1211638\nAnswer: 1211637.941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of 17*h**2\/2 + 90*h - 54. Let x be f(-5). Put x, -4, -5, 0 in decreasing order.\nAnswer: x, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-4\/7)*i\/(i*i**5) assuming i is positive.\nAnswer: i**(-39\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5622 + -5621.999996633. Round s to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-6)*0)\/(8 - 5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(1\/(-187) - 0). Let h = -121 + a. Does 30 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*g + 5*g - 100 = 0, 3*g + 105 = -5*t - 3*g for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21662068?\nAnswer: 2, 5415517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 21232 (base 4) to base 8\nAnswer: 1156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -198*v**3*w**2 - 2*v**3 - 5*v**2*w**2 - 3*v**2*w - 43*v*w**2 wrt v.\nAnswer: -1188*w**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -874288951\/1784055 - -11\/356811. Let t(j) = -32*j**2 - 5*j + 2. Let i be t(-4). Let w = i - o. Do w and 3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -38*d + 42*d. Let c(u) = -2*u - 4. Let n be c(-3). Let a be n + -3 - 18\/(-22). What is the second smallest value in 0.4, d, a?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of 5*d**3\/3 - 21*d**2\/2 - 11*d. What is the units digit of r(11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -572\/9 - -64. Suppose 0 = n + 2*n. Factor n*r**3 + 0 - z*r**4 - 2\/9*r**5 + 0*r**2 + 0*r.\nAnswer: -2*r**4*(r + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u = 9*u - 5*a - 26, 3*u + 4*a + 10 = 0. Solve -4*s = 3*f + 5 - u, -5*s - 5 = 4*f for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2034 and 540738?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 4*x - 6*x. Let w be (-50)\/(-4)*x\/(-20). Let y be (-23)\/(-1) + (0 - -2). What is the greatest common factor of y and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 2*x + 705, 3*r + 239 = -2*x + 662. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, x: 1, d: 1, a: 1}. What is prob of picking 2 d?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19991, -18034, -14771, -10202, -4327, 2854?\nAnswer: 11341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ikz when three letters picked without replacement from kzgiggiggizg?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 5. Let c = -3 - 10. Let j = c - -20. Is j != h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-779488)\/121795*1\/3*(-15)\/(-2).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1082.04 + 1082. Suppose q = 319 + 30. Let a = 2447\/7 - q. Put i, a, 3, -2 in decreasing order.\nAnswer: 3, a, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 189223*o + 4 - 6 + 2.\nAnswer: 189223*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 832 and 8395127.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**5 - 2*g**5 + 4*g**5 - g**5 + g**5 - g**5 + (0*g**2 + 0*g**2 + g**5)*(3 + 2 - 3) + 3*g**5 - 4*g**3 + 4*g**3)*(-2 + 6 - 2).\nAnswer: 16*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-16)*f)\/f)\/(f**(5\/7)\/f)*f**8*f**4 assuming f is positive.\nAnswer: f**(-19\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -12 - 2. Solve t - 5*k - 22 = 0, 3*t + q = -k - 7 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6827 is divided by 1117?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11016 = -19*i - 593*i for i.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 66 and 726.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 9 = -j. Suppose -j*p - 18 = -6*p. List the prime factors of (-18)\/12*(-28)\/p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 745?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*u - 2*u - 3*u)*(-2*u - 3*u + 4*u) - 2*u**2 + 0 + 0 + 0*u**2 + 3*u**2 - u**2 - u**2 + 2*u**2 + u**2 + (2*u - 1 + 1)*(0*u - 2*u + 4*u).\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - i - 2295 = 0, 7035 = -4*d - 4*i + 2455. Round d to the nearest 100.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of -49*o**4\/4 + 175*o**3\/3 - 44*o**2 + 12*o + 2. Factor a(w).\nAnswer: -(w - 3)*(7*w - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22574882 and 19274.\nAnswer: 519222286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c. Let x(g) = 2*g. Suppose 3*z = -4*o + 8, -4*o - 4*z = -3*o - 15. Let y(k) = o*m(k) - x(k). Let n(p) = -p**2 + 3*p - 3*p. What is y(n(d))?\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*v**2 + 545369*v + 15*v**2 - 545369*v.\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -85 - -86. Let j be (-1 - 0) + 17\/7. Is j != t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of -i**4\/12 + i**3\/2 + 5*i**2\/2 - 77*i. Let t = -7 - -11. Give u(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 111698 - 74233. What are the prime factors of a?\nAnswer: 5, 59, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/33015312 and 53\/1417324.\nAnswer: 561260304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pf when two letters picked without replacement from {k: 9, e: 6, p: 1, f: 2}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104 is divided by 22?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b**(2\/3)))**48 assuming b is positive.\nAnswer: b**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 - 2161246.5033841\nAnswer: -2161246.5633841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 + v + 1. Suppose -14*c - 25 = -11. Let k(z) = 4*z**3 + z**2 - 4*z - 3. Calculate c*k(r) - 3*p(r).\nAnswer: -r**3 - r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-15)*m*m**(-10)\/m*(m**(1\/5))**(3\/2))**15 assuming m is positive.\nAnswer: m**(-741\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.94 + -2. Let n = 0.091 + -0.491. What is the nearest to 0.1 in 5\/2, n, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07951 less than -19727879?\nAnswer: -19727879.07951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 75 or -5456?\nAnswer: -5456","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + (-2 - -4) - 36. Let v = -20 - l. List the prime factors of v.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*z**5 + z**5 - z**5 + (-2*z**3 + 3*z**3 - 2*z**3)*(82*z**2 + 4*z**2 - 16*z**2).\nAnswer: -74*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(2736) + -1 + sqrt(2736) + -2 + -4)*2)**2.\nAnswer: -12096*sqrt(19) + 395748","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of -h**7\/210 + 7*h**6\/60 - 3*h**5\/5 + 17*h**4\/12 - 11*h**3\/6 + 3220*h**2. Factor z(w).\nAnswer: -(w - 11)*(w - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/4))**(-17) assuming v is positive.\nAnswer: v**(17\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 2*v + 4*y - 36, -4*v - 3*y + 32 = 0. Suppose 4 = -2*w + 12. Suppose -v*f = -w*f - 15. List the prime factors of f.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 3*c + 4 = 2, 4*v + 2*c = 2. Let j be (v\/2)\/((-1)\/(-2)). Suppose -2*y + 9 = j. Solve -2*z + 2 - y = 2*m, 3*m + 2*z = -5 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 84153648*m**2 - 7364*m + 661?\nAnswer: 168307296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 2 j, and 1 q when four letters picked without replacement from {q: 4, b: 1, o: 3, j: 4, w: 1, d: 2}.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m - 15. Let l(f) = f + 14. Determine 2*l(a) + 3*x(a).\nAnswer: -a - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = 3*y - 0 - 3, 3*y + 3*t = 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*(-51)\/595 - (-2)\/210*365\/(-5).\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1*sqrt(1088)*-3 - 1*sqrt(1088)*2)**2.\nAnswer: 1088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17 and 391.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -1 + sqrt(1088)*-1)**2.\nAnswer: 48*sqrt(17) + 1097","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/5)\/((-10)\/(-50)). Which is the third biggest value? (a) -0.1 (b) n (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -1, -3\/16, -1215 in decreasing order.\nAnswer: -0.1, -3\/16, -1, -1215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -0.939, -199, -1\/12?\nAnswer: -199","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5956625 years to millennia.\nAnswer: 0.0005956625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.21 + 0.1. Let o = b - -0.1. Round o to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 1765 = 5*x - 10*x, 5*i - 1710 = 6*x. What is the highest common factor of i and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 152 - 142. Which is the fourth smallest value? (a) 0.5 (b) 1\/5 (c) t (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39492 divided by -19746\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 64 to the power of 1\/5, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - (9 + 2) - (8 + -2 + -67 - -9)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.5377 to 2 dps.\nAnswer: 0.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 494565.8 decades?\nAnswer: 59347896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/7*3*-12*(-203)\/(-1044)*18.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 764\/(-16) - (-156 - -108). Find k, given that -1\/4*k**5 - 3\/4*k**3 + 0 + 3\/4*k**4 + f*k**2 + 0*k = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 14 - 10. Let n(g) be the first derivative of -1\/5*g**t + 0*g + 1\/10*g**4 + 1 + 0*g**3. Factor n(p).\nAnswer: 2*p*(p - 1)*(p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23783 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 AM and 5:01 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1550176 (base 9) in base 12?\nAnswer: 355589","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 344890 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 162 - 76. List the prime factors of (6 - 0 - 2) + n.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, o: 4, p: 5, u: 2, i: 2}. What is prob of sequence iiuv?\nAnswer: 1\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(5 - 8\/(-40)*-44 - -4). What is the fifth smallest value in 0.579, -3, 2\/9, c, -4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 29737?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -3*k + 21. Let s be (36\/30*-10)\/((-1)\/(-2)*-4). What is l(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 4\/11385033?\nAnswer: 4\/11385033","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - 4 - (4 - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(12) + sqrt(12))*1 - (sqrt(972) - -2*sqrt(972)))\/(-1*(sqrt(6) - sqrt(6)*-2 - sqrt(6) - sqrt(6))*3))**2.\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10701*x + 4416*x - 794*x + 2021*x.\nAnswer: 16344*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 184400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -71 or -1.0393?\nAnswer: -1.0393","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/476 and 47\/8?\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of 0 + 0*i**4 + 0*i**3 - 1\/60*i**5 + 0*i + 5*i**2. Let n(v) = -2*v**2. What is y(n(h))?\nAnswer: -4*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -4*o + 8, 3*i + 3*o - 4*o - 5 = 0. Solve -65*d - 16 = i*y - 69*d, 18 = -2*y + 4*d for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2532960 and 55980.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*j**4 - 67872*j**3 + 135753*j**2 - 67878*j = 0. What is j?\nAnswer: -22626, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b - 2*b + 8. Suppose -y + 54 = -5*x, b*y = y - 3*x + 234. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44 and 7876?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 99 and 55494.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20062912*h**4 + 2*h**3 - 50*h**2 + 3*h - 15988?\nAnswer: 481509888*h + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of 245*f**4\/4 + 198*f - 410. What is the first derivative of x(a) wrt a?\nAnswer: 735*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**1\/o*o*o*o*o\/o**(4\/3))\/(((o*o**7)\/o)\/(o*o**6)) assuming o is positive.\nAnswer: o**(8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 9*h**5\/2 + 420*h**4 - 5253*h**3\/2 - 466320*h**2 + 311922*h = 0?\nAnswer: -86, -39, 0, 2\/3, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-1826)\/(-132) - 14)\/((-63)\/108)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - k + 4*k - 195 = -2*k, -w + 1388*k - 1390*k = -75 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffhffhf. What is prob of sequence hf?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -433*n - 47626. What is g(-110)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-4)*2*3\/(-36)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -53711706 + -5?\nAnswer: -53711712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 22150883 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*h**3*z + 10*h**2*z**2 + 10813*h**2 + h*z**2 - 6175*h*z + 7 wrt h?\nAnswer: -18*h*z + 20*z**2 + 21626","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 25336*a + 1277. Is g(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -3*o - 2. Let d be f(-6). Suppose 960 = -0*q + 15*q. Calculate the highest common divisor of q and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64\/4 - (-1 - -2) is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.07 - 4.93. Which is the third smallest value? (a) -0.4 (b) 2\/13 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-62*u + 7*u**2 + 62*u)*(-6225*u - 64*u**2 + 6225*u)*(2 - 5 + 1).\nAnswer: 896*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8\/407 - -1942\/57387. Let m(l) = l**3 - 4*l**2 - 2*l + 14. Let d be m(3). Do d and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 420\/90*150\/(-35).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2699*p**2 - 44*p + 45. What are the prime factors of j(1)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 4*m + 5*m = 44, 3*m = 5*k - 28. Is k a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of 70*q**3\/3 + q + 9. Suppose -3*w = -4*g - 62, -11 = -w - g + 5. Calculate the remainder when b(1) is divided by w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/8*-2 - (-48)\/6. Let h be 1\/(-2) - 30\/(-4). Suppose -5*s + 1 = -h*s - 5*q, -3*s - 5*q = -6. Is w less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1243.1 + -1243.238. What is the nearest to 1\/4 in c, 1\/10, 6, -2?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -361 + 181. Let c = q - -308. Let g = c + -87. List the prime factors of g.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 5, e: 1, z: 5, k: 1, x: 1, y: 4}. Give prob of sequence xozz.\nAnswer: 5\/2856","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1936, -1939, -1942, -1945, -1948?\nAnswer: -1951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of -h**8\/168 - h**7\/105 + h**6\/60 + h**5\/30 + 3*h**2. What is i in q(i) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 626118 + 1153892 = -5*o, -5*o = 4*d + 1779980. What is o rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58558649?\nAnswer: 439, 133391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(75)*1)\/sqrt(5))\/(2*sqrt(12)).\nAnswer: -4 + sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (162\/30 - -1).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 349 a factor of 6939167?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + 2. Suppose 5*v = i*k - 11 - 44, 0 = 5*v - 25. Suppose -q + k = -1. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23 - 34 + 57 + 119*a)*(-2 + 2 - a).\nAnswer: -119*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 - 8*w + 16. Let l be x(-10). Let p(i) = -7*i + 2. Calculate p(l).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 o when four letters picked without replacement from {u: 6, t: 3, o: 4}.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 - 11*k - 21. Determine t(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + sqrt(8)\/sqrt(4) + -5 - (sqrt(2) + 2)*4)**2 + (sqrt(2) + 1 + sqrt(128))**2 + 3.\nAnswer: 70*sqrt(2) + 343","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 AM and 1:19 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 38, 76, 126, 194, 286, 408?\nAnswer: 566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -92 - -92.95. Let b = x - -0.05. Sort b, 0.41, 0.5 in ascending order.\nAnswer: 0.41, 0.5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*m**4 + 277915*m**3 + 3861976315*m**2 + 3861698405*m = 0. What is m?\nAnswer: -27791, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7224)\/(-216))\/(-7) - (17\/(-7) - (-4)\/(-7))?\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/14 + (-36)\/(-21). Suppose -90 = -v*d - d. Calculate the least common multiple of 4 and d.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*p**3 - 15*p**3 + 66*p**2 + 19*p**3 + 229*p**2.\nAnswer: 31*p**3 + 295*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 + 4*h - 1. Suppose -3*r = -5*x - 3 + 5, 0 = -2*x - 4. Let u be t(r). Sort u, -4, -5 in increasing order.\nAnswer: -5, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/((l\/l**3)\/l))\/l*l)\/l**8)**15 assuming l is positive.\nAnswer: l**(-60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33 + 34 + 4*p**3 - 5*p + 2*p**2 - 7*p**3 + 0*p**2 to the form a*p + w*p**3 + m*p**2 + o and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5294.\nAnswer: 2, 2647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3922, 3909, 3896?\nAnswer: 3883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1616955 and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-1)*(0 + -1). Suppose 2*g = -4*v - 26, 2*g - g - j*v = -9. Let x = 12 - g. Is x a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 PM and 1:54 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 144*p**2 + 1134 + 1104 - 73*p**2 - 2205 - 72*p**2.\nAnswer: -p**2 + 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 233 + -218. Suppose 0 = -3*q + q, 3*q + 149 = o. Let h = -89 + o. Calculate the highest common divisor of w and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3895\/120 + (-30)\/(-18). Is x <= 35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 2:10 AM?\nAnswer: 6:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 927867.9 micrometers?\nAnswer: 927.8679","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express k**3 + 2 - 25 - 10*k**4 + 19 - k**2 + 6*k + 4 as u*k**2 + w*k**4 + h + p*k**3 + z*k and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*i - 12 = 29*i. Let m(k) = 39*k**3 - 10*k**2 + 9*k - 8. Let g be m(i). Round g to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 852 divided by 4.\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/v**(2\/3))**(-8)*v**17*v**(-4\/9))**(20\/7) assuming v is positive.\nAnswer: v**(1060\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1393aa6 - 3?\nAnswer: -1393aa9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 PM and 12:54 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -6*n - 12. Calculate the common denominator of -43\/5 and (364\/15)\/n + 2.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28 + -29. Let x be (u - -1) + (10 - 8). Suppose -d + x*j + 10 = 0, j + 7 + 40 = 4*d. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*w**4 - 4*w**2 - 66*w + 8891 with respect to w.\nAnswer: -8*w**3 - 8*w - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*w - 4*w - 4*w)*(-1 + 0 - 2)*(-1 + 1 + 1).\nAnswer: 9*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00007013 rounded to five decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.0539049 to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/1300)\/((-46)\/(-368)). Let x = o + 1101\/325. Find the common denominator of x and 29\/47.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 + 19*a + 20. Let q be z(-14). Let u be 173\/2 + (-25)\/q. Suppose 0*m - u = -3*m. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*r - 2*r**4 + r**4 - r**2 + 2*r**2 + (310839*r**3 - 310839*r**3 + 567*r**4)*(-3 + 0 + 6) as o + g*r**4 + q*r**3 + z*r + d*r**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 + 10*y**2 + 12*y - 10. Suppose -96*a + 91*a = 4*v - 54, 5*v + 5*a = 65. Calculate p(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7\/8 of a kilometer?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (0 - (5 - (6 - 1)))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 33*f - 235. Let t be r(7). Let v be 60\/(-25) + (-6)\/(-15). Put t, 12, v, 0 in increasing order.\nAnswer: t, v, 0, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -539240, -6, -4 in increasing order.\nAnswer: -539240, -6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -74 - -79. Suppose -4*u + 12 = 0, k - m*k + 4914 = -2*u. Round k to the nearest one hundred.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 261*k + 35 = 266*k for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s**2 - 2*s + 3. Let b be o(3). Suppose -3*f - b = -0*f. Is 0 + (2 - 3) - f a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 116539 to the power of 1\/2, to the nearest integer?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 5*k + 339, 0 = -b - 14*k + 9*k + 91. Calculate the remainder when 308 is divided by b.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s = -2*x + 75843, 4*x = 4*s + 56780 + 94996. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7 - 26*j**5 + 7 - 4*j**5 - 10*j**4 + 10*j**4 + 0*j**5 - j**5 - j**5 + (0*j + 2*j - 4*j)*(-2*j**4 + 6*j**4 - 3*j**4).\nAnswer: -34*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3.15 and -43.6.\nAnswer: -46.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*t**6 - 961*t**5 - 5*t**2 - 511*t wrt t?\nAnswer: 240*t**3 - 57660*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 180224.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -4 + sqrt(44)\/(sqrt(12)\/sqrt(3)) + (sqrt(11) + 0 + sqrt(1584) - sqrt(66)\/(sqrt(6) + sqrt(6)*2)) + 2.\nAnswer: -1 + 41*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1412)\/2118)\/(3\/(-99))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 667, 695, 739, 799, 875, 967?\nAnswer: 1075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 + 9*f + 1. Let s be g(9). Let w be s - (-3)\/(-6) - 3. Let d = -0.7 - 0.3. Sort 5, w, d in descending order.\nAnswer: 5, d, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60*-8810.\nAnswer: -528600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - ((-3 - 8) + (20 - 12)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3 + -0.2. Let p = 7 - 5. Suppose -3*r - 16 = -p*f - 2*f, 5*r - 5*f + 25 = 0. Which is the third biggest value? (a) 0.2 (b) n (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of -j**4\/12 + 2*j**3 - 2*j**2 + 8. Let d be t(5). Solve 0*u - d*u = 10 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 23\/331?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.54572s in milliseconds?\nAnswer: 5545.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13348?\nAnswer: 2, 47, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 0*u**2 - 8*u**3 + u**3 - 6*u + 0*u**2. Let p(c) = -5*c + 3*c**3 - 4*c**3 - 5*c**3. Let r = 63002 + -62997. Calculate r*n(q) - 6*p(q).\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -25*h**2 - 7028*h - 1014. Give r(-281).\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7)\/(14\/8 + -2). Suppose 2*s - 4*n = l, 6*s - s - n - 25 = 0. Suppose -94 = -6*w + s*w. Calculate the remainder when w is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 624838.6l?\nAnswer: 624838600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 436*i - 436*i - 4*i**3.\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 14 = -10*y. Solve 5*g - y*g = -9 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-105)\/(-805)*(-2208)\/36?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 - (-2)\/(-4)*2. Solve 4*p - h = 2, -4 = -3*b + 2*p for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1598 a factor of 18635373?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-3)*l**(1\/13))\/(l**(1\/3))**37)**(-5\/12))**(-2\/41) assuming l is positive.\nAnswer: l**(-2975\/9594)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiniliiiiiiiiiiii. What is prob of sequence ln?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(25)\/sqrt(45)*-4.\nAnswer: -4*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -85099 by 777.\nAnswer: -12157\/111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-316)\/(-79) + -1*(-174)\/(-45).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 + 6*r - 1. Let d be b(4). List the prime factors of 21 + -1 + 14\/d.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 75618646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -66*z + 59*z. Let q be (-3)\/(1\/((12\/z)\/3)). Solve 0*s = q*w - s + 16, -w = -5*s + 10 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-70)\/(85\/17))\/((-12)\/(-72)*12).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 217638 and 79994056.\nAnswer: 719946504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5\/3, 0.1, 0.06?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7 or 97\/3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 49 (base 13) to base 3\nAnswer: 2021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-708)\/24 + (-2)\/4. Let j = -22 - x. What is the units digit of (-12)\/j + 194\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 985686 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 3. Factor -4*q**2 - 14*q + 1 + 3*q**u + 3 - 7*q**2.\nAnswer: -2*(q + 2)*(4*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 - 16)\/(2\/(-14)). Let o = 86300 + -86286. What is the highest common factor of o and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, 0, 22 in descending order.\nAnswer: 22, 5, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 + 3*m**2 + 5*m + 3. Let k be u(-1). Solve -3*s + 8*s = -4*o + 25, k = 2*s + 3*o - 10 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1630127835?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -4*m - 16. Let y be (-300)\/(-16) - (-1)\/4. Suppose 4*i - y = -3*d, 2*d - 10 = -0*d. Which is the closest to -1? (a) 0 (b) m (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 12:35 PM?\nAnswer: 1:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*k**3 - 3*k**3 - 2*k**3 + k**2 - k**2 - 2*k**3 + (-k - 2*k**2 + k)*(-3*k + k + 3*k) - k**2 + k**2 + 2*k**3.\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 7*k + 4. Let a(j) = 418*j + 242. Let w(g) = -2*a(g) + 121*v(g). Let d(y) = -8*y. What is w(d(t))?\nAnswer: -88*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 79*n**3 - 8*n**2 + 75*n - 8. Let a(h) = 26*h**3 - 3*h**2 + 25*h - 3. What is 8*a(g) - 3*s(g)?\nAnswer: -29*g**3 - 25*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 + h - 1. Let n(q) = 2*q**2 - 5*q + 4. Determine -n(r) - 3*o(r).\nAnswer: r**2 + 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12166 and 22519266.\nAnswer: 22519266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p - 17. Let m(c) be the third derivative of c**4\/24 + 8*c**3\/3 - 30*c**2. Let g(x) = -4*m(x) - 3*o(x). What is g(0)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/475839 and -103\/8190?\nAnswer: 4758390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-30)\/(-20))\/((-177)\/(-6)). Which is smaller: t or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 + 5*v + 6. Let c be x(-4). Suppose 0 = c*q + 2*q - 8. Suppose -q*i = -3*i + 12. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111\/(-30)*(-108)\/6588*-305?\nAnswer: -37\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/9 and (-116)\/(-18)*75\/(-20).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 300137292*p**4 + 41*p**2 - 3443525*p wrt p?\nAnswer: 7203295008*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiuqzxxuiqxiwiq. What is prob of picking 1 q and 1 z?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -286 - -509. Let x = h + -226. Is -36\/11 at least as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o**3 - 2*o**3 - 291 + 8*o**2 + o**2 - o**2 + 3*o**2 + 213.\nAnswer: -2*o**3 + 11*o**2 - 78","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -4989.32 to the nearest 10.\nAnswer: -4990","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/3 - 328*i\/3 + 10856\/3.\nAnswer: 2*(i - 118)*(i - 46)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0636013 times 0.5?\nAnswer: -0.03180065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*u**2\/3 - 593*u\/3 + 170\/3.\nAnswer: -(u + 85)*(7*u - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 2*b + 48672 - 389318 = 0, 10 = 2*b. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7365599 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 70 + 32 + -49 + -60\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2*(-1242)\/(-48)*(-5)\/(-105) and -191\/462.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/((8118\/108)\/41)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + 10?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -94, -103, -112, -115, -106, -79, -28?\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f - 6. Let a be r(-5). Let y = 19 - 17. Is (1 + a)\/(y\/14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 6*x - 16. Let h be -7*(120\/35)\/(-3). Is 4 a factor of u(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 411 + -578. Let x = -84 - q. What is the remainder when x is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -20*k**2 + 207*k - 98. Let f(a) = -3*a**2 + 2. Let n(w) = d(w) - 6*f(w). What is the first derivative of n(o) wrt o?\nAnswer: -4*o + 207","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a century in years?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7, -0.4, -1.6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*j - 3*j + j)*(-5*j + j + 0*j) + 106*j**2 + j + 0*j - 107*j**2 to the form d*j + w*j**2 + y and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a centimeter in millimeters?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -2*g + 5*o - 27, 2*g + 4*o = -10. Let m = 0 - g. Suppose 60 = 20*u - m*u. Solve s - 4*s = -u for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8313\/475 + -312\/19. Suppose 0 = 5*v + 50, -4*o + v + 0*v = -117 + 107. Is y bigger than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g + 5. Let w(o) = 0 + 3 - 4. Let r be 13\/(-5) + 33\/55. Let m be (-6)\/(-12) + r\/(-4). Determine m*u(s) + 5*w(s).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 2*w - 5*f, 35*f = 30*f - 10 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + s - 1)*(-3 - 1 + 14)*(4 + 0 - 3)*(-9 - 11*s + 24*s - 11*s).\nAnswer: 20*s**2 - 90*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**10*r**(-8)*(r**6\/r)**(-16))**(-4\/3) assuming r is positive.\nAnswer: r**104","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -396.6 * 0.4.\nAnswer: -158.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108637?\nAnswer: 108637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 130950?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 254, -1 in decreasing order.\nAnswer: 254, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 6*w**2. Let k(i) = -7*i**2 + 5*i - 5. Let c = 9 + -1. Let p(q) = -11*q**2 + 8*q - 8. Let a(n) = c*k(n) - 5*p(n). Determine x(a(m)).\nAnswer: 6*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -118*b**2 - 70526*b + 235592 = 0.\nAnswer: -601, 196\/59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 192*y - 193*y - 18 = 0, -3*o = -2*y + 74 for o.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2 + 1112*s - 41280.\nAnswer: -2*(s - 516)*(s - 40)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*((-630)\/(-10) - 7). Sort -1, -3, l.\nAnswer: l, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*u - 20 - 6. Let k be 2*2\/4 - -2. Sort k, 1, u in ascending order.\nAnswer: 1, u, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 5*p**3 - 4*p - 3. Let q(j) be the first derivative of -j - 4965. Determine -l(o) + 3*q(o).\nAnswer: -5*o**3 + 4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2862909 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*s**3*u*x - 135*s**3*x - 1691*s**3 + 670568*u*x with respect to u.\nAnswer: -3*s**3*x + 670568*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26431, 52669, 78907, 105145?\nAnswer: 131383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = -163*q + 168*q - 3*g, g = 6*g - 15 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.3 + 5. Which is the third smallest value? (a) n (b) 1\/2 (c) -0.13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) 27 (b) 0.5 (c) 2 (d) -85\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40 and 12111360?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yqyyrrqyqrqqqrqqqrq. What is prob of picking 3 r?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -422 - -779. Suppose -b = -3*v + 3666, -2452 = -2*v - 0*b - 2*b. Suppose -c + l = -v. What is c rounded to the nearest 100?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -2\/7 (b) -0.5 (c) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -0*o - 3*o. Let s be o\/(33\/17 - 2). Suppose 4*k = 77*k - 13651. What is the highest common divisor of k and s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - 3. Let h = l - 1. Calculate the remainder when 10\/4*18 + h is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -51 - -37.4. Let i = z + -3.4. Let s = -16.999992 - i. What is s rounded to six dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/43*(-17)\/(-19). Let s be 6\/688*-62 - 9\/(-12). Let i = s - n. Do i and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12092?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 28 = -0*i - 4*z, 0 = -3*i + 2*z - 26. Let v be i\/(2 - -1) + 2. Suppose v = -3*h - 0 + 6. Solve -2*k - h*k = -20 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9067909 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: Suppose -4*l + 12 = 4*s, -3*l + s - 3 = -8. Let i be (-1)\/(1\/(-12 + l)). Suppose 2*h + 3*x + 7 = 0, 2*x - 7 = 3*h + i. Put -1, h, -5\/3 in increasing order.\nAnswer: h, -5\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 113701\/12 - 9483. Calculate the common denominator of 58\/(-120)*(-27)\/(-3) and r.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -16. Let d = -4921 + 4908.9. Let v = d + p. Is 4 at most v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-6)\/g**(-1) assuming g is positive.\nAnswer: g**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 + 4*p**2 + 4. Let q(k) = -k**3 + 5*k**2 + 5. Let t be 6\/(-12) - (-6)\/(-4). What is t*q(g) + 3*u(g)?\nAnswer: -g**3 + 2*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 + 2*b - 2. Let i be d(3). Suppose q - 11*q - 13*q + 253 = 0. Put i, q, -3, 4 in decreasing order.\nAnswer: q, 4, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + -1)*1\/2. Calculate the common denominator of -39\/7 and c + -3 + 137\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*(-1)\/((-1)\/(-4)). Let f be 8\/(-14) - 3456\/(-168). Calculate the highest common divisor of y and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one fifth of a kilogram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/63 (b) -1622 (c) 0.2 (d) -3\/2 (e) 2 (f) -0.03\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10*i**3 + 110*i*z - 10*i + 103088*z wrt i?\nAnswer: -30*i**2 + 110*z - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 1\/5 (b) -2 (c) -1.83\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -2\/19, 22, -1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + 0 + -4 - (-1 + 3 + 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-477*g**2 + 653*g**2 + 669*g**2 + (2 + 0 + 1)*(5*g**2 - 2*g**2 + g**2))*(-g + 0*g + 0*g).\nAnswer: -857*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of -2*c**3\/3 + 4*c - 2. Let j(h) be the first derivative of p(h). Let u(s) = -2*s**2. Calculate j(u(z)).\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 12. Suppose 3*b + 2*o + o = k, 0 = -2*b + 3*o + 14. Suppose -b*h + 125 = -231. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*d - 85 + 85 + 3*d**3 as m*d**3 + l*d**2 + c*d + t and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*a - 31*a + 0*a**3 - 3*a**3 + 4*a + 13*a.\nAnswer: -3*a**3 - 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1099128238?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -181 * 78.51.\nAnswer: -14210.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**17)\/f*f**(-1\/24))**(1\/24) assuming f is positive.\nAnswer: f**(407\/576)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135*x + 102 = 237 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 4 = 20. Suppose 2*x - 12 = y*x. Let p(g) = -3*g + 8. What is the units digit of p(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -884*d**2 + 356*d - 3754773?\nAnswer: -1768*d + 356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3256, 6509, 9760, 13009, 16256?\nAnswer: 19501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 82316 less than 81832?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 AM and 11:29 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 325637 smaller than 325637?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13*d**2*x**2 + d*x**3 + 48*x**3 - 2 wrt d?\nAnswer: 26*d*x**2 + x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 - 162*z**2 - 6566*z - 410. Calculate m(-81).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -3643425 at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*c**2*d**2 + 67*c**2*l**2 - 5*c*d**3 - 2162*d**3*l + 2*d**2*l**2 wrt c.\nAnswer: 8*c*d**2 + 134*c*l**2 - 5*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10762027, 10762027, 10762031, 10762039, 10762051, 10762067?\nAnswer: 10762087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (145 - 104)) + 0 + 147?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3753 and 81837.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -94*k + 8. Let l be c(-4). Suppose 0 = 2*o - b - 4*b - l, 5*b - 995 = -5*o. What is the tens digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4581, -4585, -4589, -4593, -4597, -4601?\n\"Answer: -4*m - 4577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4a + -5?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 10 = 2*o. Find the second derivative of -7*m**5 - 5*m + 7*m - m**o wrt m.\nAnswer: -160*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/433 less than or equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 + -5622291?\nAnswer: -5622291.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 1579 divide 6244945?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 AM and 9:47 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 - 7*x + 5. Determine p(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (-7 - 50)) + (-3 - -10) + (17 - 17)\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.95 - -6. Let l = -2.95 - i. Sort -4\/7, l, -0.7 in increasing order.\nAnswer: l, -0.7, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006935426 rounded to 5 dps?\nAnswer: -0.00694","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24 - 12 - 2)*(479*f - 967*f + 0 + 475*f - 20).\nAnswer: -130*f - 200","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add 1 and -8639531.53.\nAnswer: -8639530.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + (-1)\/1)*1. Let r be (-8 - -8)\/(0\/2 + m). Suppose r = 11*f + 247 - 1743. What are the prime factors of f?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(((-12)\/21)\/((-510)\/(-21) - (1 - -3))).\nAnswer: -71\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33036565840 minus 0.9407?\nAnswer: -33036565840.9407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -4*n**2 - 24*n - 33. Let y be l(-4). Let g(h) = -16*h. What is g(y)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 8*l**2 - 27*l - 9. Let p(d) = -3*d**2 + 9*d + 3. Suppose g - 16 = -3*g. Let j(w) = g*z(w) + 11*p(w). List the prime factors of j(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11299670 and 460?\nAnswer: 22599340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + 28*r**2 + 25*r - 32. Let p be b(-27). Suppose 3*k - 11 = 3*s + p, 0 = 4*s + 20. What is the remainder when 7 is divided by k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3523 (base 10) to base 2.\nAnswer: 110111000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 1. Let z(c) = -1. Let t(a) = -3*d(a) - 2*z(a). Let q(m) = m - 3. Determine 2*q(f) - 5*t(f).\nAnswer: 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.97 + -2. Let p(j) = -78*j + 698. Let x be p(9). Which is the nearest to 0.1? (a) k (b) x (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21241556 and 4971428?\nAnswer: 233657116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 + 19*q + 44. Let z be r(-14). Let s = 22 + z. Let u(v) = -v + 2. Let b(n) = 5*n - 8. Let y(f) = s*u(f) - b(f). Let o(k) = -k. What is o(y(a))?\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-1)*2\/4. Let a = z - -4. Let y = 6 - a. Put 0.5, -4, y in descending order.\nAnswer: y, 0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5116041.\nAnswer: 3, 7, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 AM and 9:05 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r - 4 = 2 + 1. Let w be ((-3)\/6)\/((-2)\/4). Let i(u) = -3*u + u - 7*u - w. Calculate i(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 360 is divided by (1\/(-4))\/(2\/(-3872)*4).\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 5*l + 3 = 0. Suppose 0*k - l*k = -6. Suppose -f = k*f - 60. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 3*p - 4. Suppose -t - 5 = 3*j, j = -p*j + t + 5. Solve j = -x - 5*l + 35 - 6, 0 = -5*l + 25 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 5*y**3 + 6*y**2 + 6*y. Let f(a) = a**3 + a**2 + a. Let z = -41 - -45. What is z*f(n) - j(n)?\nAnswer: -n**3 - 2*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2608?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 542, 1082, 1622, 2162, 2702?\nAnswer: 3242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.81242 rounded to 1 dp?\nAnswer: 21.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (3 + -91 + 54).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8200 + 164051\/20. Calculate the common denominator of d and 137\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.54 times 7.59274?\nAnswer: -4.1000796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*f + 53*f - 155*f + 55*f.\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of 0*a**3 - 1\/42*a**7 + 0*a**2 - 1\/12*a**4 + 1\/30*a**6 + 5*a + 1\/20*a**5 + 0. Solve n(m) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 + 8*w - 7. Let q be m(6). Let g = q - -7. Solve -s = -5*s + g for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 940744256?\nAnswer: 2, 2447, 6007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 2\/21, 7, 4?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 657 = -1076. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -2*p - 3*h - 8, 8 = 2*p + 5*h. Let c be -1 + 5 - (2 - -1). Sort p, -5, c in increasing order.\nAnswer: -5, c, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1876797 times 3?\nAnswer: -5630391","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*h = 3*z + 34*h + 20, -z = 2*h + 3 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 - 5*q**2 + 5*q - 2. Let u be w(-6). Suppose -u*a = -210 - 198. What is the remainder when a is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -7. Suppose -3*r + d*r = -105. What is the remainder when r is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((-5 + sqrt(252)*-1 - sqrt(252)) + -2*sqrt(252) + 0)*-1 + -4)*-3)**2.\nAnswer: 432*sqrt(7) + 36297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/(q*q**(-2)*q))*q*q**(1\/2))**(-3\/8)\/((q\/(q\/(q*q\/(q**(1\/2)*q))))**(7\/2)\/(q*(q*q\/q**(-1))\/q*q)**(-5\/14)) assuming q is positive.\nAnswer: q**(-419\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 106847 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 5*k + 43, -2*k + 5*g - 14 = 17. Let h(b) = b**3 + 10*b**2 + 3*b + 28. Is 6 a factor of h(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 7 = 2*y - 21, -4*d = 2*y - 24 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -0.0685?\nAnswer: -0.00685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 754\/(-203) + 2*1\/(-7). Sort h, 15, 1 in ascending order.\nAnswer: h, 1, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/15 of a century?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2626861?\nAnswer: 2626861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 24 + 496?\nAnswer: 520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(17) - -3*(0 + sqrt(17))))**2 - sqrt(119)\/(5*(sqrt(7) + sqrt(28))).\nAnswer: 479*sqrt(17)\/15 + 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (((-4)\/(-14))\/(87\/(19488\/320)))\/2\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 65.9 - 62.9. Sort 8, j, -11 in decreasing order.\nAnswer: 8, j, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, 49, 84, 129, 184, 249?\nAnswer: 324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59604*-0.04.\nAnswer: -2384.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28*r + 5*r + 5*r)*(-3 - 3*r + 3).\nAnswer: 54*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -111 + -3?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 13\/((-156)\/(-8))*(-6)\/(-4). Solve 3*y + w = -8 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 667, 1962, 3891, 6448, 9627, 13422?\nAnswer: 17827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-4)*(-1117)\/(-13404)?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4267 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 735 and 3969.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/17, -121, 3, -5?\nAnswer: -121","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -52*t. Let f(v) = 2*v. Determine f(x(k)).\nAnswer: -104*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 243872 and 1600.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143*w + 21 = 3*i + 147*w, -i - 25 = -4*w. Which is the nearest to i? (a) -0.6 (b) 1 (c) -2 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -10*f**3 - 2*f**2 - 2*f - 1. Let c(t) = 2*t - 38. Let k be c(17). Let l be p(k). Suppose -l = w - 6*w. Does 20 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of -k**8\/84 + k**7\/15 - 3*k**6\/20 + k**5\/6 - k**4\/12 - 7*k**2 + 31. Factor b(m).\nAnswer: -2*m*(m - 1)**3*(2*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 85 - 5*w + 39 + 150 - 126 to the form j + t*w and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/9 + (-100)\/36. Let b be (-20)\/2 + 0\/i. Let u = -3 - b. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-250)\/11850)\/(40\/48).\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (42\/(-15))\/(4\/10). Let i(j) = 4*j - 3*j**2 - 3 - j**3 - j**2 - j**2. Is i(p) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 1.56482 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 5*u + 11. Let y(i) = -i**3 - 8*i**2 - 13*i - 2. Let a be y(-6). Let o(d) = -6*d - 12. Determine a*o(v) + 5*c(v).\nAnswer: v + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, e: 1, d: 1, q: 1, b: 2}. What is prob of picking 1 e and 1 i?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 46 - 41. Suppose d*z - 40 = 60. Calculate the lowest common multiple of z and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -3. Let z be (0 + g - 0) + 4. Let u = -40 + 42. Solve -u*n - 6 = 3*v - 3*n, 4 = z*v + 3*n for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g + 10. Suppose -4*t + 48 - 20 = 0. Let j be h(t). Solve -j*x = 4 - 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/1014 and -41\/2197.\nAnswer: 13182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 6:06 AM?\nAnswer: 8:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -133 (c) -0.4 (d) 2\/21 (e) 2\/3 (f) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3324351 (base 7) to base 14.\nAnswer: a9461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*v + 4*o + 36 = 85*v, 3*o - 8 = 4*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 16 - 19 = 5*s, 5 = m. Let f(d) = 2*d - 1 - 4*d**2 + 5*d**2 + 4 + 0*d**2. What is f(s)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c + 7. Let m(v) = 32*v + 15. Let g(a) = -14*a - 8. Let w(l) = -7*g(l) - 3*m(l). Let t(o) = 8*k(o) - 5*w(o). Let h = -1 - -5. Determine t(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -11*x - 27. Let c be j(-5). Let s = c - 25. Solve -3*m = 0, 2*z - s*m = z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, t: 3}. What is prob of picking 1 t and 2 v?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/7, -5, 2\/11, -161, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yqwy when four letters picked without replacement from {q: 6, v: 3, y: 3, w: 3}?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 111431561 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 532 and 0.3?\nAnswer: 159.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w**4 + w - 2*w**3 + 385*w**2 + 4*w**3 + 4 - 383*w**2 to t + q*w**2 + z*w + f*w**3 + d*w**4 and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 - 179*n + 1368. Determine h(7).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*20293.\nAnswer: 8117.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -4, -5060 in decreasing order.\nAnswer: 10, -4, -5060","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w**3 - 8*w**2. Does 48 divide q(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h**2 + h + 8. Let v be i(5). What is the greatest common divisor of v and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 252 and 3276?\nAnswer: 3276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 275.8 to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2014 and 7738?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10886 by -3.\nAnswer: 10886\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27706 is divided by 445?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -263*u**5 + 63 + 530*u**5 + 32 + 11*u**2 - 265*u**5 + 2860*u**6 wrt u?\nAnswer: 343200*u**3 + 120*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 5*g. Suppose 0*c + 2 = -2*c + 2*h, -3*c + 4*h = 8. Suppose g = -c*t - 20, 5*t = -2*x - 8 - 3. What are the prime factors of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 8 (b) -3 (c) -2 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 - 4*v**2 - 4*v - 7. Let y be m(5). Let u(s) = -5*s - 87. Let q be u(-15). Let c be ((-45)\/q)\/((-12)\/8)*y. Put 6, c, 3 in descending order.\nAnswer: 6, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (52\/(-54))\/(-6 - (-119)\/21). Which is smaller: g or 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 5*g**3 + 3*g**2 - 3*g**3 + 4 - g**3. Let q be m(-3). Let z(i) be the first derivative of i**4\/4 - 4*i**3\/3 - i**2\/2 - i - 8. Calculate z(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 125152 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -5*c**2 - 60*c + 546. Give n(-23).\nAnswer: -719","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 6678?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1411735493 to the power of 1\/5, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 8:33 AM?\nAnswer: 8:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 264 divide 5198454?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-190)\/(-4)*-9*6\/(-135). Suppose 0 = -z + 5*w + 16062, 80440 = 5*z + l*w - 18*w. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/11882234 and -101\/4732.\nAnswer: 308938084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1404031311 (base 5) in base 2?\nAnswer: 1101101010000100101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -285*m**5 + 23090*m**4 + 2212335*m**3 + 4098240*m**2 - 17377780*m + 303600 = 0?\nAnswer: -55, -4, 1\/57, 2, 138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.06 + 0.03. Let l(f) = -f**3 - 2*f**2 + 4*f - 1. Let s(g) = -g**2 - 10*g - 19. Let r be s(-8). Let t be l(r). Sort o, t, 0.5 in ascending order.\nAnswer: t, o, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 + 9*a**2 - 9*a - 5. Calculate z(8).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(2\/71)*d)\/(d*d\/(d*(d*d*d\/(d*d*d**4*d*d))\/d)*d*d) assuming d is positive.\nAnswer: d**(-495\/71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do 13939225 and 13939224 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of g**5\/12 + 5*g**4\/24 + 58*g**2. Suppose v(n) = 0. What is n?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + p - 201 = 206, -4*n = -2*p - 422. Suppose n = 7*k - 639. Does 3 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + 0 - -3 - -1. Let z(o) = o**3 - 3*o**2 - 2*o - 6. Let w be z(m). Let c = 12 + w. Solve 5*d = b + 9, c*b - b = 4*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 131, 123, 117, 113, 111?\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 99 and 297?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -55, -73, -77, -61, -19?\n\"Answer: x**3 + x**2 - 28*x - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x**9\/x)*x**(2\/7)*x**7\/(x*x**(-1\/9)) assuming x is positive.\nAnswer: x**(-38\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 15 = 3*u, 34*u - 2*q + 8 = 36*u for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 177519861?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of -7 + 0*k + 2\/3*k**3 + 0*k**2. Let o(m) = -14*m. Determine o(n(i)).\nAnswer: -28*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-24)\/360 + (-67624)\/(-60). Which is bigger: 1128 or v?\nAnswer: 1128","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(550)\/(sqrt(66)\/sqrt(6)) - sqrt(100)\/(sqrt(6)\/sqrt(3)))\/((sqrt(120) + 4*(2*sqrt(120) - sqrt(120)) + sqrt(120))\/(2*sqrt(48)\/sqrt(4)))*-5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 10, w: 9}. Give prob of sequence kkwk.\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/(-4) + 0 - 2. Let o(q) be the second derivative of -2*q + j*q**2 + 1\/20*q**5 + 1\/6*q**4 + 1\/6*q**3 + 0. Determine o(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-6*(-3)\/27). Let t = -1 - 1. Sort l, 0, t.\nAnswer: l, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-180)\/(-42))\/(3\/14). Suppose -5*w + 9 - 44 = -2*p, 5*w = -p - c. Let a(s) = -s**3 - 6*s**2 - 7*s - 7. Calculate a(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, c: 13}. Give prob of picking 2 c and 2 e.\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.3 - -0.1. Let s = t - -0.6. Let l = 156 - 152. Which is the third smallest value? (a) -0.5 (b) s (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 4*b - 25. Let c = -5613 - -5616. Give y(c).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of -x**6\/120 - x**5\/10 + x**4\/3 + 2*x**3\/3 - 15*x**2. What is w(-7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*v - 3*v + 0*v)*(1 - 1 - 2*v) - 4*v**2 + 4*v**2 + 5*v**2)*(1 + 3 - 6)*(-1 - 4 + 6)*(2 + 2*v - 2).\nAnswer: -44*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 19*b**3 - 7*b + 10. Let q be v(2). Suppose 0 = -5*l - 5*r + 935, -4*r - 732 = -99*l + 95*l. Calculate the highest common factor of l and q.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 6*p - 5*p, -4*u = 5*p - 593. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -2\/9 (b) 1\/3 (c) -84\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 3*l**3 - 5*l**2 - 5. Let v(u) be the second derivative of -3*u - 1\/6*u**4 + 0*u**3 + 1\/20*u**5 - u**2 + 0. Calculate -2*t(f) + 5*v(f).\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 + -1)*(-2 - -2). Suppose 21 = 5*u + r, 4*u + r - 19 = -3. Let y = u - 2. Solve z = d - 1 - y for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m + 105 + 77 = 0. Let f = -22 - m. Solve -28\/5*p - 4\/5 - 14*p**3 - 69\/5*p**2 - 5*p**f = 0 for p.\nAnswer: -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of b**5\/60 - b**4\/24 - b**3\/2 + 75*b**2. What is g(0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 82148, 82169, 82190, 82211, 82232, 82253?\nAnswer: 82274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13377 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 4456 = 43544. Suppose 18*x + y = 21*x. What is x rounded to the nearest 1000?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 2*t, 79*t = -4*h + 77*t + 14. Solve -5*k - h*r + 15 = 0, -6*k + 22 = -4*k + 4*r for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -3*l**2 - 4*l + 5. Let z be x(6). Let s = z + 178. What are the prime factors of s?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.1145 + -0.4345. Let u = -104 + 104.049. Let n = u + a. Sort 5\/4, -2, n in decreasing order.\nAnswer: 5\/4, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*q + 6*q + 210. Calculate the remainder when q is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r - 2*r + 4*r)*(-2*r**3 - 6*r**3 + 5*r**3 + 0*r**3 + 2*r**3 - 3*r**3 + (2*r**2 - r + r)*(-3*r + 7*r - 2*r) - 3*r**3 + 5*r**3 + 2*r**3).\nAnswer: 8*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 438, 2, -2, -16.\nAnswer: -16, -2, 2, 438","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + 30\/(-42))\/(4\/(-21)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 + y + 1. Let h(f) = f - 8. Let g be h(8). Determine t(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1316*k = 1302*k + 14 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 83306?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 520*d = -331*d - 8510 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 321*k**3 + 86 - 86 + 146*k**3.\nAnswer: 467*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8701291 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-10) - (-2)\/5. Let n = 26326 - 26325. Put -7, n, -5, c in descending order.\nAnswer: n, c, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 + 4*h - 149. Let m be p(0). What is m rounded to the nearest 10?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 - 10*m**2 + 10*m**2 - m - m**3 - 11*m**2)*(3*m - 20*m - 3*m) in the form k*m**4 + y + h*m**2 + l*m**3 + a*m and give a.\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -51 + 56. Factor 43*i**2 + 7*i**2 - 50*i + 10 + b*i + 25*i**5 + 0*i - 60*i**4 + 20*i**3.\nAnswer: 5*(i - 1)**3*(i + 1)*(5*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**4 - 1444038*t**3 - 4332126*t**2 - 4332130*t - 1444044.\nAnswer: 2*(t - 722022)*(t + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -2*sqrt(176))*3 - ((sqrt(1584) + (-2*sqrt(1584) + sqrt(1584))*4 - sqrt(1584)) + (sqrt(1584) - -1*sqrt(1584)*-6)**2).\nAnswer: -39615 + 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45\/(-30)*(-8)\/66.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 10 and 120\/13 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**2 + 2722984*t.\nAnswer: 4*t*(t + 680746)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 284 = -p, -3*g - 2*p - 288 = -8*g. What is the greatest common divisor of g and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2818*n**4 + 139*n**2 - 8*n + 21. Let h(d) = 2819*d**4 + 138*d**2 - 9*d + 24. Let m(q) = 8*h(q) - 9*i(q). Find the third derivative of m(s) wrt s.\nAnswer: -67440*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 816*c + 480 = 864*c for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-2) + 1*-2. Let x be (-14768)\/(-156) + -100 - (-4 - (-2 - -4)). What is the closest to v in x, 14, -2, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14587 to the power of 1\/2, to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24705\/14 or -1765?\nAnswer: -1765","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 26*u - 275. Let i be p(44). Suppose z - 1244 = -4*j, 0 = -3*j + 2*z + 53 + i. What are the prime factors of j?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of 1\/2*t**2 + 1\/3*t**3 + 0 + 3*t. Differentiate d(u) wrt u.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -44, -139, -298, -521, -808?\n\"Answer: -32*j**2 + j - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 + 128*a + 1815. What is b(-16)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54 and 1053.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -198 = 18*b - 216. Put -6, -8, b, -7 in decreasing order.\nAnswer: b, -6, -7, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24 + 21. Let v be u\/(-1) - (-881)\/1. Does 11 divide v\/(-39)*(-6)\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0021919 rounded to five decimal places?\nAnswer: 0.00219","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-6))\/(30\/720)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1848 - 7845?\nAnswer: -9592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000155 to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/64)\/(69\/2208).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (1*5)\/(270\/324)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51139*v = 52503*v - 91388 for v.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 93 - 96. Let t be (((-540)\/6)\/(-6))\/(h\/(-2)). Find the second derivative of -12*c**2 - 13*c - 18*c - 19*c**2 + t*c wrt c.\nAnswer: -62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1137521 and 53669?\nAnswer: 1309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27723 + 266*g - 263*g + 27731.\nAnswer: 3*g + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 4*j = 0. Suppose j = 2*t - 3*t + 3. What is the derivative of -1 - 5*d - 2 + t*d + 0 wrt d?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-51)\/68 - (-28)\/16. Which is smaller: -1\/803 or j?\nAnswer: -1\/803","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (19 - 4)*(-10)\/(-2). Let k = t - 30. Calculate the remainder when k is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 135 and 5?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 + -3 - (-5 - -7) - 9 - (1 - 6).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of 1\/30*x**6 + 0 - 65*x**2 + 0*x - 14\/5*x**5 - 5488\/3*x**3 + 98*x**4. Factor t(c).\nAnswer: 4*(c - 14)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 + 10*n - 9. Let r be p(-11). Suppose -2 = r*w - 0*y + 5*y, -w - 3*y = 3. Let d(v) = 5*v - 2. What are the prime factors of d(w)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1106 and 748.\nAnswer: 413644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from {c: 3, f: 13}.\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -8*n + 7. Let x(k) = -7*k**2 + 8*k**n - 21*k**2. Let y(d) = d**2. What is y(x(h))?\nAnswer: 400*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 233 divide 2960806?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 4 = -2. Let w = f + 10. Calculate the remainder when 23 is divided by w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, -4, 21, 2, -2, -182 in descending order.\nAnswer: 21, 2, -1, -2, -4, -5, -182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*g + 153 - 453. Let k be 2*(30\/4)\/(-1). Let z = g + k. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/(-15) - (-14)\/3. Suppose -67 + 43 = f*v. Let y be (-4)\/v - (1\/(-3) - -1). Solve y*w + 3*w = 3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + (-2)\/((-14)\/(-37)) - -4. Let h(u) = u**3 + 2*u**2 - 2*u + 3. Let n be h(0). Factor -12\/7*f**n - 3\/7*f**4 - 18\/7*f**2 - 3\/7 - x*f.\nAnswer: -3*(f + 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w + 2*w - 4*w + 19*w.\nAnswer: 19*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 271*o - 72 = 267*o. Calculate the highest common divisor of 234 and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.002559 - -0.035541. Let t = 0.0381 - x. Which is the third smallest value? (a) -0.5 (b) 0.07 (c) t (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1188680, -2377329, -3565966, -4754585, -5943180, -7131745, -8320274, -9508761?\nAnswer: -10697200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6876*b + 73729 = 1361*b + 399114 for b.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u, 1 j, and 1 m when four letters picked without replacement from {u: 11, m: 4, j: 2, s: 2}?\nAnswer: 110\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 divided by -1040475.\nAnswer: 11\/346825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/(-2))\/((-2)\/(-44)). Let q = 92604 + -92600. Is i greater than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47 divided by 363.\nAnswer: 47\/363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -128 + -1510?\nAnswer: -1638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*z - 197. Is 10 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 10283, 10379, 10507, 10667, 10859, 11083, 11339?\n\"Answer: 16*g**2 + 48*g + 10219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 + 11*n + 56. Let f be a(7). Calculate the highest common factor of f and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in 5, -0.1, 2, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*i + 10 = 33*i - 10*i. Let w = -3.9026 - 0.0074. Let m = 0.09 - w. Sort -0.1, i, m.\nAnswer: i, -0.1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (w + 2*w - 7*w)*(-1 - 12 - 16) in the form t + b*w and give b.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 + 4*j + 5. Let n be f(-5). Let h(y) = -y**3 + 11*y**2 - 3*y - 12. Is 29 a factor of h(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 12:11 AM?\nAnswer: 3:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 23*u + 5 - 9 + 0 wrt u.\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -33*h**2 + 51*h - 18.\nAnswer: -3*(h - 1)*(11*h - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 55922?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.042 - -0.958. Which is the biggest value? (a) -2\/3 (b) m (c) 0.1 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -807788 + 2886273 = -539*k + 18108345. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.5282 and -75.8.\nAnswer: 115.83756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1825.866 + -1826. What is the closest to s in 0.3, 0.4, 3\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*p**2 + 0*p**3 - 4915 + 5*p**2 + p**3 + 4850 in the form j*p + f*p**2 + h + a*p**3 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*z - 872 = 2*z + 752 + 1102 for z.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4389 and 1484565?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -3*y - 2*y + 2*y - 14. Let u(i) = -i - 5. Let h = 8 - 6. Let n be h\/((12\/(-9))\/(-4)). Calculate n*f(k) - 17*u(k).\nAnswer: -k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from khbkkhhhuh. What is prob of picking 1 h, 1 u, and 1 b?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 5*t = 15, 0 = 10*t - 8*t - 6 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/(-12))\/((-2)\/18). Let z be (-2)\/(8\/(-4))*s. Which is the second smallest value? (a) 3\/2 (b) z (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -8*z**3 - 6*z**2 - 6*z + 4. Let r be g(-3). What is the second derivative of -2 - r*l**3 + 4*l + 2 + 181*l**3 wrt l?\nAnswer: -18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v + 2. Let d be -6*(-1)\/((-6)\/(-4)). Let k(c) = 3 + 8 - 3 - 3*c - 7 - 3. Determine d*a(w) + 3*k(w).\nAnswer: -w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence stq when three letters picked without replacement from yqtssy.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 3*k + 4*k = -1199, -806 = -2*d + 2*k. List the prime factors of d.\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 35242949, 70485908, 105728867?\n\"Answer: 35242959*h - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - -31?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -52*s**5 - 63*s**4 - 2*s**3 + 267*s + 35 wrt s.\nAnswer: -1040*s**3 - 756*s**2 - 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -15 - ((-36)\/(-414) + 66\/(-759))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w + 19. Let d(g) = 2*g**2 + 11*g + 22. Let x be d(-4). Let l(v) = -v**2 - 17*v - 21. What is the smallest common multiple of l(-14) and n(x)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 12:02 PM?\nAnswer: 12:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x + 12. Let g be n(6). Let v(m) = m**2 - 5*m - 5. What is v(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -3*q - 296. Let s(b) = 4797*b. Calculate s(l(t)).\nAnswer: -14391*t - 1419912","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 + 42 = 17*r. Solve 0 = z + k - 3*k - 5, r = 2*z + 2*k - 10 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (t + 0*t + 3*t**2 + 0*t**2)*(0 + t + 0) to the form f*t**3 + b*t**2 + v + w*t and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 PM and 10:37 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.03, -2\/13, -0.3, 0.3 in descending order.\nAnswer: 0.3, -0.03, -2\/13, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.7 + 2. Let b = h - -0.5. Let p = 11 - 10. Put p, 3\/4, b in ascending order.\nAnswer: b, 3\/4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -5) + 1 + (-8 - 5).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1864\/9 + (-8)\/72 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -994637 greater than -994622?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 10*s. Let l(d) be the second derivative of 11*d**4\/3 - 928*d. Give l(k(p)).\nAnswer: 4400*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 76, 46, 0, -56, -116, -174?\nAnswer: -224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 - 1495*h - 532230. Determine i(-297).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/(-30)*45\/6. Solve 2*b + m = -7 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 56265 by 3.\nAnswer: 18755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -3*y - 3*c, -y + 2*y + 1122 - 2249 + 1126 = 5*c for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 58 = -2*z, 2*z - 5*z - 15 = 0. Let o = -19 + p. Let y(m) = -m**3 + 9*m**2 - 8*m - 2. What is the units digit of y(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 174*i**2 - 4524*i - 1. Give p(26).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 827252642.\nAnswer: 2, 413626321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -2, 15, 48, 103, 186?\nAnswer: 303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*l - 2*l + 2*l)*(-3*l + 72*l**3 - 11*l**3 + 3*l).\nAnswer: -366*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-182181 - 17\/((-68)\/24))*4. What is s rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21 is divided by (44\/16 - 3)*(1 + -53).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5.2 or 286?\nAnswer: 5.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(128)\/sqrt(4) + sqrt(2) + sqrt(2) + 2*sqrt(2) + 1 + -5 - ((6*sqrt(192))\/((sqrt(240)\/sqrt(4))\/sqrt(10)))**2.\nAnswer: -1156 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1678103, -3356262, -5034421, -6712580?\n\"Answer: -1678159*k + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 g when two letters picked without replacement from {g: 5, z: 3, y: 3}.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 459*w + 482. Let c be n(-1). Solve -130 = -c*p - 38 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 129 - 0. Let a = -128 + d. Is a bigger than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*j**4*q**3 - 549*j**4*q**2*x**2 + 2*j**2*q*x**2 + 308*j**2*q + 2*q**3*x**2 - 2*q wrt j.\nAnswer: -72*j*q**3 - 13176*j*q**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*w - 21*w = 25572. Let g = -1939 + w. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*g - 4*g**3 + 5 - 5 + 3*g**3.\nAnswer: -g**3 + 84*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 1930740?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 795\/2366 - 17\/338. What is the smallest value in 1.33, 0.3, 0.2, -0.3, n?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = p + 4*p, -2*c - 165 = 5*p. Let v = c - -931. List the prime factors of v.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 + 4*c**2 - 3*c. Let m be z(4). Let g = 17 + m. What is the remainder when g is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, f: 1, w: 2, g: 2}. What is prob of picking 1 g, 1 j, and 1 f?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5431 - 1950.\nAnswer: 3481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1962?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1372844*a**2*s + 2*a**2 + 33*a*h*s - 2586*a*h - 2*h*s + 5484*h wrt s.\nAnswer: 1372844*a**2 + 33*a*h - 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g - g - 2 + 5*g - 37 to y + r*g and give y.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence by when two letters picked without replacement from dqbmbqmbbymmmmbbd.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (53*187\/5830)\/(1\/(-5)*(-2 - 0))?\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 356141.73838 + -22.\nAnswer: 356119.73838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-45)\/6*(-34)\/255 + 624 and 25.\nAnswer: 625","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -550602, -550603, -550604, -550605, -550606, -550607?\nAnswer: -550608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6452 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -36\/11 and -4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 60 + -61. Let l = -0.08 + -0.22. Let r be (-30)\/(-99) + (-6)\/9. What is the fourth biggest value in -0.4, r, l, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2735367 is divided by 82885.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 5*b + 7. Suppose 0 = -4*g + 8*g + 48. Let m be ((-5)\/(-5))\/(2\/g). Let i(l) = -4*l - 6. Determine m*i(w) - 5*k(w).\nAnswer: -w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k. Let n(g) = -g + 1. Let s(i) = -5*n(i) - 4*p(i). Let q = 56 - 28. Let y be 175\/q - (-1)\/(-4). Give s(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1639 and -1.44.\nAnswer: 0.236016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-5)*(-30250)\/(-440)*18\/30.\nAnswer: 33\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0416 less than 21055?\nAnswer: 21054.9584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-8\/7)\/(z\/(z**(-4\/17)\/z*z)))\/(z**(2\/55)*z\/z**(-2\/7)) assuming z is positive.\nAnswer: z**(-24218\/6545)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 5*u + 181, 8*u - 142 = -3*w + 3*u. Suppose 7677 = 6*o - w. List the prime factors of o.\nAnswer: 2, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139749 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 4 - 4 = 0. Let z be 2 - 3 - 1 - -4. Suppose w - 18 = -z*w. Solve -10 = w*o - o, -i*o - 6 = n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0, 1\/4, -49, 2\/3, -4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 260*l**2 - 16*l - 10. Let n(i) = 52*i**2 - 3*i - 2. Calculate -11*n(q) + 2*z(q).\nAnswer: -52*q**2 + q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 168 and 609.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 i when two letters picked without replacement from {e: 2, i: 1, r: 4}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3899, -8494, -16153, -26876?\nAnswer: -40663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (28*y**2 - 3 + 3)*(-667*y**2 + 392*y**2 + 468*y**2) + 4*y**4 - y**4 - y**4 + 2*y**4 - 5*y**4 + y**4 to p*y**4 + t + m*y**2 + a*y + c*y**3 and give p.\nAnswer: 5404","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 331817831?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {h: 2, t: 7}.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i + 14 + 6 = 0. Solve 5*n - b - 18 = 0, 2*n - 4*n - i*b + 12 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -209.46 - -209. Let m = 6 - 6.06. Let q = f - m. Do 0 and q have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 + 4*j**2 - 6*j + 22. Let z be x(5). Which is smaller: z or -34?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*p + 457 - 4*p + 67*p + 8*p - 141.\nAnswer: 82*p + 316","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 0.4, 2\/3, 1.7, -31 in ascending order.\nAnswer: -31, 0.3, 0.4, 2\/3, 1.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 25 = 8*l. Calculate the remainder when l is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 63*o**3 + o**2 + o - 1. Let w be i(1). Calculate the common denominator of 364\/7*(-10)\/w and 51\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 4.0766. Let a = g - 0.065. What is a rounded to 3 decimal places?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of -19*l**4\/24 - 5*l**3\/6 - 24*l**2 - 3. Let g = -5 - -4. What is the units digit of w(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13223 + 111020?\nAnswer: 31131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.03, 2\/25, -15, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*t**6 + 7*t**4 + 73*t**2 wrt t?\nAnswer: -480*t**3 + 168*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.11, 1, -4, 0.1, 136\/25 in decreasing order.\nAnswer: 136\/25, 1, 0.11, 0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22438369 to the nearest integer?\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 356870705\/22 + -16228988. Let s = -7591 - c. Calculate the common denominator of -7\/8 and s.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9674162?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Express 158817*k - 79410*k - 2 + 4*k**4 - 79412*k + 2*k**2 in the form d*k + b*k**2 + p + y*k**4 + u*k**3 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 71 + 2*m - 71 + (-3*m + 2*m + 2*m)*(6 - 1 - 3) - 2*m + m + 2*m + 2*m - m + 0*m.\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 11817 * -12\nAnswer: -141804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-1))**9*h**(11\/3)*h**(-1\/7))**(-31))**(-6\/7) assuming h is positive.\nAnswer: h**(-7130\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -2 + (-17)\/((-2312)\/256)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 152550592?\nAnswer: 2, 659, 3617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9172 + 25891 = 2394*b - 847 for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -2*q - 2, 4*q - 2*q = -5*r + 33. Let f be 492\/r - 4\/10. Let z = -9 - -23. Calculate the greatest common divisor of z and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2*w**2 + 2)*(-5*w + 2*w - w - 2*w - 4*w + 5*w + (-2*w + w + 0*w)*(1 + 2 - 2)) in the form p*w**3 + q*w**2 + b + a*w and give p.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 18*o + 354. Calculate p(-15).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 11:05 AM?\nAnswer: 2:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*w + 312 + 36 = 0 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vrmrdd. Give prob of sequence dv.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 88 = 4*d, -5*f - 5 = 5. Let h = 5 - d. Let s = 40 - h. Calculate the greatest common factor of 48 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -4, b + 2*f = 8 - 13. Find t, given that 1\/8*t**b - 1\/2*t + 0 + 3\/8*t**2 = 0.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72574484 at most 72574484?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in 0.2, 0.4, 14?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -5*b - 2*r + 195, -5*b - r + 195 = 0. Calculate the common denominator of 35\/9 and (-1 - 48\/(-46))\/(b\/(-2067)).\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -196.999901 + 197. Round y to 5 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 3\/14, -0.3, 2\/7, -0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -3*q**2 + 155*q + 46. Determine t(52).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5 - 2\/(-8)*106 and 25\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.879338937 to three decimal places.\nAnswer: 0.879","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-2))\/((-4)\/(-1))*(-51)\/(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -57*z - 66. Calculate y(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6397 - -44785\/7. Determine z so that 40\/7*z**2 + 12\/7*z**5 - 20\/7*z**3 - k - 34\/7*z**4 + 8\/7*z = 0.\nAnswer: -1, -1\/2, 1\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35 is divided by 10 - 5\/(15\/6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16*u**4 + 28*u**3 + 3*u**2 + 3258*u + 84307848.\nAnswer: 64*u**3 + 84*u**2 + 6*u + 3258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 7*w + 1. Let s(o) = 3*o. Calculate -4*r(a) + 10*s(a).\nAnswer: 2*a - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195557 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6988135 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: What is the least common multiple of ((-84)\/42)\/((-4)\/(-10)) + 125 and 12?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 209434?\nAnswer: 2, 104717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 30.882, -0.3, -5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (8\/(-6) - (-3 + (-5549)\/(-93))) - -6.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85734 is divided by 28459.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000017841762 rounded to six decimal places?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 - 2*d**2 + 2. Let w(a) = -3*a**3 - 7*a**2 + 7. Determine 21*k(b) - 6*w(b).\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((51*48\/504)\/(-1))\/((-8)\/(-28))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 614060?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/4 in 4, 6, -4, 2\/13, 10\/9?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xr when two letters picked without replacement from nrrirpx?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 424018*c - 815 = 423855*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 5*w**2 + 3*w - 24. Let h(o) = -o**2 - o + 1. Let l = -458 + 457. What is l*k(j) - 3*h(j)?\nAnswer: -2*j**2 + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*b - b + 5*b)*(-2*b + b + 2*b) + b**2 - b**2 - 2*b**2 - 5*b - 34*b - 176*b**2 + 39*b to x*b + u*b**2 + p and give u.\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -223333 rounded to the nearest 1000?\nAnswer: -223000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, i: 1, h: 1, w: 2, q: 1, n: 7}. Give prob of picking 1 h and 1 q.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8147713?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 4*j**2 - 1004*j + 1000 = 0.\nAnswer: 1, 250","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1127173378?\nAnswer: 2, 149, 3782461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + (-7 + -9 + -7 - (-36 + 7))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1375 divided by -5\nAnswer: -275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.7899812 + -0.79. What is m rounded to six decimal places?\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 4*k = -10 + 28, -3*k = -3*h - 36 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + 4*g + 0*g)*(-366 + 304 + 177)*(1 + 0 + 1)*(-3*g + 5*g + 0*g - 3*g + 0*g + g + (3 - 7 + 2)*(-1 + 1 + g) + 2*g - 2*g - g).\nAnswer: -690*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 24 = -2*b, 6*b - 81 = -4*r + 3*b. Suppose -r*k - 162 = -20*k. What is the greatest common factor of 6 and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -8 + 2*i + 2 - 3 + 5*i. Let c be d(5). Let l = c - -11. What are the prime factors of l?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(500))**2*-1 - (-2 + (-3 + sqrt(500))**2) - ((sqrt(500) - (3 + (sqrt(500) + 0 + sqrt(500))**2)) + 4 + sqrt(500) + 2).\nAnswer: -60*sqrt(5) + 965","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1429 is divided by 470.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1799 + (1 - 0))*119\/(-2). What is g rounded to the nearest ten thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 210699, 421391, 632083, 842775, 1053467?\n\"Answer: 210692*h + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1394, -4627, -9712, -16649, -25438, -36079?\n\"Answer: -926*n**2 - 455*n - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -405310 not equal to -405368?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.991123936 to 1 decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2485 = -14*m + 13*m. Is 4*6\/4 + m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 113899 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -102380\/409 and -249 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7450 + 7560. Calculate the greatest common divisor of 1815 and b.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -217, -152, -51, 80, 235?\nAnswer: 408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 51 = -3*q, -5*q - s - 2*s = -85. Suppose q*f - 13 = 21. Solve 3*l - f - 1 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 6 = -g, -d + 0*d = -2*g + 8. Let m = g + -5. What is the units digit of (3\/(-6))\/(m\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 5*k + 6 - 19 = 0, 2*n = -3*k for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nniininnin. Give prob of picking 2 n and 2 i.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23 + -18. Solve 2*n = -2*l + 14, -2*n = i*l - 5 - 15 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence whw when three letters picked without replacement from wwwwwiiwhwwiwhiiwwi?\nAnswer: 110\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5181635 + -5181576.999942. Let n = -0.4 + 58.4. Let f = c - n. What is f rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 9 + 0 = 0. Let t = c + -9. What is the units digit of (8\/(-2 + t))\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of 2*v**5\/15 + 9*v**2 - 6*v. Let x(g) be the third derivative of 0*g + 0*g**3 - 2*g**2 + 0 + 1\/24*g**4. What is u(x(j))?\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 + (-1)\/(-2)*-2. Let p(b) = -6*b**2 + 0*b**2 - 3*b**i. Let r(d) be the second derivative of d**4\/6 - 4*d. What is p(r(w))?\nAnswer: -36*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 1039*s - 1418. What is t(1)?\nAnswer: -379","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 PM and 8:35 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9\/2 in -5, -2, -0.4, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 2*a - 18, -3*a = i - 17. Suppose -h - 4 = -0. Put h, i, 5 in decreasing order.\nAnswer: 5, i, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1037959*q = 1037969*q - 390 for q.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppmmybbfbmobmfb. What is prob of sequence pm?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + -16 + (-28)\/7. Let o = 21 + m. Suppose 5*k = 2*g - 76, -2*k = -o*g + 114 - 22. List the prime factors of g.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -167735*a**3 - a - 275495?\nAnswer: -1006410*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 23058898 divided by 4?\nAnswer: 11529449\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of -1 + 45*a + 29\/6*a**3 + 1\/2*a**2. Suppose -4*o - 3*q - 11 = o, 0 = 2*o - 2*q - 2. Give i(o).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1132 - -4350035?\nAnswer: 4344503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12332?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -4608*c - 96*c**2 - 73728 - 2\/3*c**3 = 0?\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5, 1, -114.4359?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 - 3*g**2 + 3*g - 3. Let n be w(2). Suppose 29 = l + 15. Let a be l\/(-49) - (-5)\/(-7). Sort n, a, -3, 3.\nAnswer: n, -3, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 3*t + 2*t - 7*t. Let b be (-31)\/(-11) - (-4)\/22. Let c(o) = -3*o**2 + b*o**2 - o**2. Give w(c(q)).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 38 + 84. Let k = 473 + z. Is 57 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2533501 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8033 is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5\/3 (b) 0 (c) 2\/3 (d) 7\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/90 + (-13299)\/1485\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -77984, -78502, -79020, -79538?\nAnswer: -80056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*((t**(-1\/3)\/t*t)\/t)\/t))**(-2\/63))**(2\/35) assuming t is positive.\nAnswer: t**(-4\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2795038 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 AM and 10:31 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21 - (-3 + 14 - 23)) + 63.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -15.1 (b) 0.1 (c) 4\/7 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1932 divided by 69.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - b = 84. Calculate the lowest common multiple of 6 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44, 48, 50, 44, 24, -16, -82, -180?\nAnswer: -316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 367672298.6 minus -2.2?\nAnswer: 367672300.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 188262869 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119 + 137 = 8*l. Suppose -38*j + 60 = -l*j. Solve 2*r = -a - 4, j = -9*r + 4*r + a for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + n = 2*n + 2, -h + 16 = -3*n. Let t = 4 + -2. Which is the nearest to h? (a) t (b) -5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 116325*t**3 + 142968*t wrt t?\nAnswer: 697950*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of -p**3 + 0*p - 1\/5*p**5 + 0*p**4 + 0*p**2 + 1. Find the third derivative of j(t) wrt t.\nAnswer: -24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -366 - -368. Let r(m) = 5*m**3 + m**2 - 9. What are the prime factors of r(l)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26569 is divided by 258.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n + 4*n - 2*n)*(n + 2*n - 4*n) + (178*n**2 - 3*n**2 + 86*n**2)*(-38 + 76 - 30).\nAnswer: 2089*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -4 + 111*k**3 + 4*k**2 - 221*k**3 - 14*k + 124*k**3 = 0. What is k?\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 + 7*x + 7. Let t be d(-2). What is the hundreds digit of (474\/(-9) - 6\/(-2))*t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -41 + 42. Let u be k\/(1\/24) - 0. Let i = u + -21. Sort i, 7, 5 in increasing order.\nAnswer: i, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36592?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 196 + 132 = -3*u, 7*u - 1 - 16 = -b + 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 2*l = 39, 4*b = -4*l - 20 - 0. Let g(c) = 42*c**2 + 9*c - 8. Is g(b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2409 is divided by 67.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of -a**4\/24 + 3*a**3\/2 - a**2. Let q be t(7). Suppose -3*d + 79 = u + 4*u, q*u - d - 36 = 0. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.61593 litres in millilitres?\nAnswer: 18615.93","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**17\/h*h*h*h**(-2\/15)\/h*h*h assuming h is positive.\nAnswer: h**(283\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -417 (c) -4\/7 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 3 - 24*y + 27*y)*(3 - 4 - 1).\nAnswer: -6*y + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 + 14*k**2 - 16*k - 21. Let v be z(-15). Let y = v - -102. Calculate the highest common factor of y and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 + 2*d + 4. Let x be c(0). Suppose -5*w + 29 = -x*r, 3*w = -0*w - r + 31. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/15689 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*n**3 - 27\/2*n**2 + 51\/2*n - 25\/2.\nAnswer: (n - 25)*(n - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, t: 1}. Give prob of sequence txx.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 752*x + 70 = 745*x for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**4*k*k\/k**(2\/67) assuming k is positive.\nAnswer: k**(400\/67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 114804?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in 0.1, 2\/7, -72?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.3 (b) 20 (c) -0.5 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qb when two letters picked without replacement from bgqgqbgbggagygagggx?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 - n. Let k(g) = 6*g + 6. Let i(s) = b(s) - k(s). Let x be i(-6). Suppose -5*t = -5*m - 35, 5 = -3*m + 14. Solve x = -3*d + 2 + t for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5.628294 nanoseconds?\nAnswer: 0.000000005628294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16.6 - 12. Let t = -5 + w. Which is the smallest value? (a) 3 (b) t (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 252 + -251.99999337. Round f to six decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163063951 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i + 5*i - 25 = 0. Let u be (-36)\/30*i - 4. Solve -2*h + 5*j = 11, 5*j - u*j = -2*h - 3 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -293*f - 7498*f**2 + 7496*f**2 + 34*f.\nAnswer: -2*f**2 - 259*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 divided by -4469?\nAnswer: -24\/4469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -64 + 62. Put h, 2, -5, -24 in decreasing order.\nAnswer: 2, h, -5, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2490977 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -4*y. Let i(s) = -5*s**2 + 16*s + 2850. Determine i(u(g)).\nAnswer: -80*g**2 - 64*g + 2850","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2bc288a (base 13) to base 15.\nAnswer: 1383b58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1612\/(-78)*45\/30?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/7 of a week in hours?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, r: 1, g: 8, i: 6}. What is prob of picking 3 g?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 - 2*d**2 + d + 88. Give b(0).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 1578 = -2*s + 6*s, -4*s + 1592 = -4*k. Calculate the remainder when s is divided by 128.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3.7739 or 6?\nAnswer: -3.7739","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 57, 66, 81, 102, 129?\n\"Answer: 3*h**2 + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 127532 at most 127537?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.13 + 0.17. Let y be 3 + 10\/8*-2. Let x = -18 + 14. Which is the closest to -1? (a) y (b) x (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113 = 3*s + 4*u - 106, -3*s = -4*u - 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/9 - ((-63448)\/240)\/103.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.897567 millennia to decades.\nAnswer: 389.7567","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4659619 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9822 + 9827. Solve 30*p - v*d + 5 = 25*p, 0 = 4*p + 2*d - 20 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -669*d + 668*d + 3738*d**2 + 960*d**2 in the form c + k*d**2 + s*d and give k.\nAnswer: 4698","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*p - 1655627*p**2 + 4*p - 7927636*p**2.\nAnswer: -9583263*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 - 48 = 5*r. Let o be 44\/16 - (-2)\/(r\/6). Suppose -o*z + 16 = 4*f, 13 = 2*z + 2*f - 1. Solve z = q + q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5 + -2 + 1 + 1. What is the tens digit of 6 + k + (-56)\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 10 (b) -5 (c) 0.34 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 509885 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 70015351*w**4 + 18*w + 1198180.\nAnswer: 840184212*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11925 and 161267075.\nAnswer: 1325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6381925?\nAnswer: 5, 11, 23, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -223 + 333c?\nAnswer: 3119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l - 8. Suppose 5*g = -p + 18, 2*p + 2*g - 4*g = 48. Suppose p = 5*w - 47. Let a be o(w). Solve -a*d = -d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 34427 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17 - (-20 + 2)) + 1 + 0 + -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -567 - -564. Which is the nearest to 2? (a) 1\/7 (b) -8 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) + sqrt(21)\/(sqrt(3) + sqrt(9)\/sqrt(3)) - sqrt(7)) + (2*(sqrt(7) + sqrt(7) + -1*sqrt(7)))**2 - 6*(sqrt(7) + 0)*-1) + -5.\nAnswer: 13*sqrt(7)\/2 + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/5, -1\/11, -71, 4, -1, 3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - -34.6?\nAnswer: 38.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -650 + 649 - 3*w - 2*w + 4*w. Determine k(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-10)*(-201)\/(17487\/(-2900)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91676350 is divided by 161402?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 169031 and 4148.\nAnswer: 676124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*g - 12*g - 96. Let z = g - 47. Let w be (-195)\/z - (0 - 0). Solve -1 = 4*d - w for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-2)*x)**3\/(x\/(x*x*x*x**(2\/7)*x*x))**(-19\/2))**(7\/2) assuming x is positive.\nAnswer: x**(-285\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 5 - 3)*(47*q - 496*q + 44*q + 1).\nAnswer: -1215*q + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162*g = -2*n + 334, 0 = 2*n + 3*g + 2403 - 2419 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 3*f - 1013, -4*a + 4052 = f + 3*f. Suppose 5*n + 5*v - 642 = 3*n, 0 = 3*n - 5*v - a. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 3*k = -k. Let r(a) = -a**2 + 91 - 20*a + 33 + 21*a - 16. What is the tens digit of r(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 18 - -1*(-63)\/(-7). Let g(s) = 5*s + 4. Let d(p) = -36*p - 27. Give j*g(a) + 4*d(a).\nAnswer: -9*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*((2 - 0) + 3). Let p = i + 19. Suppose 332 = p*q + 2*b, 2*b = 4*q + 5*b - 336. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of 95*k + 0*k**4 - 1 + 0*k**2 - 81\/20*k**5 + 41\/2*k**3. Find the second derivative of x(z) wrt z.\nAnswer: -486*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1021 - 2049. Let v = b + 1025.935. Let i = v - 0.035. Round i to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4120, 8006, 11892, 15778, 19664, 23550?\nAnswer: 27436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (104 - 114) + 48 - (-1 + (3 - 5) + 12)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 9:09 PM?\nAnswer: 2:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -10*g - 18. Let a(r) = 117*r**2 + r. What is a(t(f))?\nAnswer: 11700*f**2 + 42110*f + 37890","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 + 3*x**2 + 3*x + 35. Let a be v(5). Are a and -11\/39 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -238 + 119. Let z = j - -118.35. Let d = z + -1.35. Which is the nearest to 1\/3? (a) 0.3 (b) 1.8 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/35)\/((-41)\/(-205))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17694 (base 13) in base 14?\nAnswer: -125d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 294 and 2058?\nAnswer: 2058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 78 - 75. Suppose -h*w - 51 = -6*w. Is 2 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7554*g*w**2 + 2*g*w - 107749*g - 2*w wrt w.\nAnswer: 15108*g*w + 2*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 2 p when four letters picked without replacement from {a: 1, p: 4, w: 7, u: 2}.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2866873169 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 167 + -168. What is the third biggest value in -80, c, -2?\nAnswer: -80","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*n + 2*n**2 + 0*n + 0*n**2 + n**2 - 2*n**2 + (-3*n + 2*n + 0*n)*(-5*n + 5*n + 3*n) + n - n - 2*n**2 in the form w + m*n**2 + a*n and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*c**3 + 0*c**3 + 2*c**3 + (-4*c**2 + 6*c**2 + 12*c**2)*(c - c + 2*c) to the form a*c**2 + w + z*c**3 + y*c and give z.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 25593599509 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 3. Let u(y) = y + 3. Let z be u(-2). Suppose 15*m - 207 = -8*m. What is the second biggest value in n, m, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 - 2*y + 131. Give a(11).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*-1*(3 - 7). Solve -4 = 3*d - 4*a - 10, -u = -2*d + 4*a for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1709191 and 1.\nAnswer: -1709191","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24209, 96829, 217863, 387311, 605173, 871449?\nAnswer: 1186139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7057 from -1866.44919.\nAnswer: -8923.44919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 6894, 13800, 20706, 27612, 34518?\n\"Answer: 6906*o - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -3*g - b + 266, 323 = 4*g + 5*b. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w + 1. Let l be o(-5). Let k(b) = -6*b - 3. Let j be k(-3). What is the greatest common factor of l and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 179 = 71. Let k = r + 60. Does 2 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of 0*d**5 + 0*d**2 - 1\/15*d**6 + 0*d**4 - d + 0 - 5\/6*d**3. Find the second derivative of t(m) wrt m.\nAnswer: -24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2946 by 982.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 1035*q - 17. Let d be (-4)\/(-6)*-6 + (6 - 0). Is g(d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-16*y - 10*y - 19*y)*(y + 3 - 3)*(-1 + 6 - 2) + (0 + 2*y + 0)*(-3*y + 0*y + y))*(-y**3 - y**2 + y**2).\nAnswer: 139*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 16 = 5*x + 8, 4*x = 4*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of 2\/3*p**3 - 1\/2*p**2 - 1 - p. Factor g(m).\nAnswer: (m - 1)*(2*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/374534164 and 39\/43828466.\nAnswer: 4119875804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/7 - 384*p\/7 + 4023.\nAnswer: -(p - 63)*(p + 447)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.4 (b) 6 (c) -2\/3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -6*c**3 + 8*c**2 + 17*c - 42. Let p(k) = -k**3 + k**2. Let y(n) = -5*p(n) + r(n). Give y(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + j + 4*j + 15 = 0, -5*n - 5*j - 15 = 0. Let g = 37 + -54. Let z = 37 + g. Which is the biggest value? (a) n (b) z (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 2*f - 54 + 808, -4*p = -5*f - 1915. Let g = 1444 - 2090. Let m = f - g. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/73)*s**38*s**(-40)*s\/s**(-43))**(7\/5) assuming s is positive.\nAnswer: s**(21476\/365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((14\/7)\/2)\/(-1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 63372 and 3776?\nAnswer: 59823168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from urrsrriu. What is prob of picking 1 i and 1 r?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -902 + 907. Let c(i) = 62*i**2 - 18*i + 32. What is the hundreds digit of c(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003633288 to 4 decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*o**4 + 174*o**3 - 167*o**2 - 3*o wrt o.\nAnswer: 120*o + 1044","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35*j + 1 - 12*j - 5*j + 23*j - 4*j to the form k*j + c and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 468 and 52381602.\nAnswer: 104763204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 104.53866 to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2201258589 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11823?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -73, 5, -2, -3 in decreasing order.\nAnswer: 5, -2, -3, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**3)**(-47)\/(z**(-23)\/z*z*z**(1\/6)\/z))**10 assuming z is positive.\nAnswer: z**(-3515\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2*(3 - 2))\/3. Suppose -5*a = -a - 8. Suppose -4*d - 2 = 2*i, -d - d + 8 = -a*i. Is d at least as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26 (base 7) to base 13.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 146 - 90?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -615*w + 2828*w = -1633*w + 223068 for w.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2529 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10354859 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.022 - 0.222. Let g = 851\/208 + -63\/16. Which is the nearest to 2? (a) n (b) g (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h - 4. Let d be a(0). Let r be ((-192)\/(-36))\/((-2)\/6). Let p = r + 16. Sort d, p, -5.\nAnswer: -5, d, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1974, -1972, -1968, -1962, -1954?\nAnswer: -1944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*l**3 - 83936*l**2 + 28703344*l + 8207808 = 0 for l.\nAnswer: -2\/7, 394, 2604","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 388945 a multiple of 181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 6:45 AM?\nAnswer: 4:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 0.07 (b) -0.2 (c) -0.205\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 2*q - 73 + 87 = 0, 4*r - 32 = -5*q. Let v(u) = -6*u**2 - 14*u + 74. Let d(j) = 2*j**2 + 5*j - 25. Determine r*v(w) + 8*d(w).\nAnswer: -2*w**2 - 2*w + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/5 + (-33)\/(-15). Let u be 2 - y - 0 - -5. Let x be (0\/(-1 + 3))\/(4\/(-2)). Solve x = u*b - 9*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/2870 and -23\/615.\nAnswer: 8610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 3854*y + 1451*y**3 - 3854*y + (-5 + 5 + 2*y)*(0*y + 0*y + y**2) in the form h + z*y**2 + s*y**3 + i*y and give s.\nAnswer: 1453","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1391 + 1390.94. Let r = 15 + -14.76. Let v = d - r. Which is bigger: -0.02 or v?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-10))\/(75\/500)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33540?\nAnswer: 2, 3, 5, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2825984947 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 168811 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 5*m - 5687, 0 = -0*m + 2*m - 5*q - 2250. Is m a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2722?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x. Let t be u(0). Let l(i) = i**3 - 6*i**2 - 4*i - 9. Let q be l(7). Suppose t = -0*b - 2*b + q. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -8*p**2 + 3*p. Let n(h) = -23*h**2 + 8*h. Let t = 955 + -958. Calculate t*n(g) + 8*k(g).\nAnswer: 5*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34676, 69357, 104038, 138719?\nAnswer: 173400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 - 11. Let k = 1582 + -1578. What is the nearest to 2\/5 in -4, k, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1, 3\/5, -5, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 7*z**3 + 6*z**2 + 3*z + 1. Suppose 0 = -5*j + 3653 - 3688. Let l(m) = 15*m**3 + 13*m**2 + 7*m + 2. Determine j*a(u) + 3*l(u).\nAnswer: -4*u**3 - 3*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/30*20\/180?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 28*h**4\/9 - 1007*h**3\/9 + 6152*h**2\/9 + 16853*h\/9 + 66 = 0?\nAnswer: -2, -1\/28, 11, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/73)*x**(25\/3)*x)**(6\/5) assuming x is positive.\nAnswer: x**(820\/73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 8256059 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 11, p: 2}. What is prob of picking 3 l?\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d**3 - 4 - 7*d - 4*d**2 - d**2 - 3*d**3. Let k be r(-4). Let i be (k\/3)\/(32\/48). Solve 0 = i*f - 3*f - 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 14*v + 56 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 3 + sqrt(152)\/sqrt(32) + sqrt(133)\/(sqrt(14)\/sqrt(2)).\nAnswer: 4 + 3*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -25*a**4 + 4*a**2 + 347*a - 2. Let n(s) = 50*s**4 - 9*s**2 - 695*s + 5. Let k(l) = 5*j(l) + 2*n(l). Find the second derivative of k(t) wrt t.\nAnswer: -300*t**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4665774 bigger than -4665774?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10764*a - 582102 = -54666 for a.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - c + 33, w - 4*c - 6 - 15 = 0. Suppose 16*d + 4*f = w*d - 10, -f - 107 = -5*d. What is the remainder when 174 is divided by d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 56011419*q**3 - 1147917608*q**2 wrt q?\nAnswer: 336068514","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-107 - -110)*(2 + (-33)\/18). Let r = 4\/93 + 251\/651. Which is the nearest to -1? (a) s (b) 5\/6 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*s = -26*s. Let m be 0 - (s + -1 + -1). Let y(k) = 2*k - 2. Calculate y(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/6)\/(-15 - 104\/(-8))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 33 and 127596.\nAnswer: 1403556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p**2\/4 - 13825*p\/2 - 27655\/4 = 0 for p.\nAnswer: -1, 5531","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l + 9. Determine w(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/15 + (-36)\/60.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/(-8) + (-102)\/(-4). Solve w = -4*m + 7 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = s + 156. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2 + 1 + 4*u)*(-229 + 492 - 356) as p + b*u and give b.\nAnswer: -372","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 + 3*b - 7. Let r be d(-4). Let o be (r\/2)\/(9\/(-12)). Let q(l) = 8*l. Calculate the remainder when 29 is divided by q(o).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20822*w**2 - 61848*w**2 - 8301*w**2 - 121978*w**2.\nAnswer: -171305*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, q: 10, w: 7, y: 1}. What is prob of sequence yq?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pnphhpph. What is prob of sequence nh?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 10*k. Let w(a) = 1186*a + 5750. Give w(o(p)).\nAnswer: 11860*p + 5750","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000435572 rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -151648 divided by 1354?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228)*-1)\/(-1*sqrt(432))*3)**2.\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13906 is divided by 1054.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 5*x + 26, -h + 3*h = 3*x + 18. Calculate the smallest common multiple of 1 and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22\/(-88))\/(16\/(-4800)*-5).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 32*i**2. Let t(c) = -1447*c - 2. Calculate f(t(s)).\nAnswer: 67001888*s**2 + 185216*s + 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1383933.792 rounded to the nearest 100000?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pzpj when four letters picked without replacement from jpzjjnnpzzjjjjz?\nAnswer: 1\/585","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 103*k**6 - k**4 + 201*k**2 wrt k?\nAnswer: 12360*k**3 - 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 10 = 218. Let h = 39 + -1. What is the greatest common factor of c and h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - 1863?\nAnswer: -1860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - v + 7 - 8.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - m - 1 = 12, 4*g + 4*m = -12. Let f = g + 0. Suppose 0 = -7*n + n + 12. Solve n = f*h - 2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ene when three letters picked without replacement from {e: 3, n: 11}?\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/3 + 40656848*d\/3 - 206622411161888\/3.\nAnswer: -2*(d - 10164212)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of -l**5\/20 + 49*l**4\/12 - 47*l**3\/3 - 81*l**2\/2 + 157*l. Let b be p(47). Which is greater: -82 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -327 = -5*h - a, -2*a + 16 = 3*h - 176. Suppose -5*d = h + 24. List the prime factors of (-3)\/(39\/d - -2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12692.\nAnswer: 2, 19, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 763 - 760. Suppose 2*h - 4*l - 80 = 0, 2*h + 3*h - 5*l = 195. Suppose -h = -p*k - 4*d, -k - k = d - 17. Does 2 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/4 and 59\/46.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b - -12?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -308076860 to the nearest one million.\nAnswer: -308000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1128)\/(-846) - 1\/(1\/2). Put j, 80, -0.5 in ascending order.\nAnswer: j, -0.5, 80","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f*f**(-1\/2)))**(-47))**(21\/5)*(((f**(2\/17)\/f)\/f)\/(f**(6\/5)*f))\/(f*f**(1\/3)*f**9\/f) assuming f is positive.\nAnswer: f**(8699\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-198)\/(-63) - 8\/(-3 + 7). What is q in s*q + 16\/7*q**2 + 0 + 2\/7*q**4 + 10\/7*q**3 = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28985 - 1154 = -2*l + 5*g, 3*l = g - 41766. Let z be l\/(-2) + 14\/28 - 2. Round z to the nearest 100.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/(-15*(-18)\/135).\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 3, -6\/7, 123\/14 in descending order.\nAnswer: 123\/14, 3, 2\/9, -6\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -375236.491 rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*g**2 - 4811*g + 4812*g + 14*g**2 - 7*g**2 - 7*g**3 + 4 - 10 to b*g**2 + k*g + q*g**3 + f and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of o**6\/120 - o**5\/20 + o**4\/12 - o**3\/2 + 3*o**2 + 7*o. Let f = 3 + -1. Let d be i(f). Let h(t) = -t - 4. Calculate h(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k**3 + 84*k**2 - 242*k - 13269. Give g(-41).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.0616, -343\/11, 0.2?\nAnswer: -343\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 - 5*l + 5. Let x be s(-13). Let d = -53 + x. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 209\/(-11) + 8\/2. Let h = i + 25. Calculate the smallest common multiple of 18 and h.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 399 and 160041?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**2\/10 - 6628039*l\/5 + 43930900985521\/10 = 0. What is l?\nAnswer: 6628039","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of k**6\/10 + 3*k**5\/10 - 39*k**4\/4 - 20*k**3 + 600*k**2 - 809*k. Factor f(u).\nAnswer: 3*(u - 4)**2*(u + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 d when four letters picked without replacement from {d: 5, g: 5}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.16? (a) -1 (b) 2\/11 (c) -2 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.26 and 95.108.\nAnswer: -24.72808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 33\/7*n + 51\/7*n**3 - 9*n**2 - 15\/7*n**4 - 6\/7.\nAnswer: -3*(n - 1)**3*(5*n - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/10806 and 12\/5.\nAnswer: 54030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 + o**2 + o + 4. Let w(d) = 4*d**2 - d - 2. Let t(v) = -11*v**2 + 3*v + 5. Let i(z) = 3*t(z) + 8*w(z). Let n be i(2). What is r(n)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 768 and 3792.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3445 is divided by 29.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 5*i**2 - i + 1. Let m be x(1). Suppose 5*z - 180 = -m. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 3*a**3 - 5. Suppose -229*u = -232*u + 15. Let l(z) = -4*z**3 + 6. Let v(p) = 3*p - 6. Let c be v(4). Calculate c*g(n) + u*l(n).\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + 32*f**2 - 2*f - 63. What is x(-32)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 0 - 6 = 0 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 + q**2 - 6. Calculate p(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9435.\nAnswer: 3, 5, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 - 22. Let c = -6531 - -6535. Sort -1, c, s, 5 in decreasing order.\nAnswer: 5, c, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 754128\/2195 or 344?\nAnswer: 754128\/2195","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -23478000 to the nearest one hundred thousand.\nAnswer: -23500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 308287 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = -4*n + 40, 5*i - 181*n - 125 = -188*n for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 83*l - 1125. Calculate the lowest common multiple of j(14) and 164.\nAnswer: 6068","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 270*r**2 + 26*r + 26. Let j(g) = -30*g**2 - 3*g - 3. What is 52*j(z) + 6*k(z)?\nAnswer: 60*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n**2 - 120*n + 1566. Let t be w(41). Let u(i) = i**2 + 9 - 9*i + 3 - 4. Let r be u(t). Solve 4*j - 12 = -r*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3192, -3196, -3202, -3210?\nAnswer: -3220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -37*t + 51*t - 32*t. Let m(w) = -6*w - 5. Let s(q) = q + 1. Let o(a) = m(a) + 5*s(a). Calculate o(c(u)).\nAnswer: 18*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 233320, 466642, 699964?\nAnswer: 933286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 14, 1, -2\/587, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)\/(sqrt(36)\/sqrt(3)))\/((sqrt(176)\/sqrt(4))\/sqrt(11)).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 247600504?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -144 + -27. Let a = -165 - u. Solve -q - a = q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (11\/14 - 5\/10)*14. Let n(q) be the first derivative of 1\/8*q**2 - 1\/6*q**3 - 3 - 1\/16*q**s + 1\/2*q. Find c, given that n(c) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x = 5*x + 6. Suppose 3*v = -9*z + 4*z - 3, -x = 2*v. Solve c + z - 3 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ululiuruirrirri. What is prob of sequence rur?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 134295 divided by -26859\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l. Let t be c(0). Let i = -10 + 16. Suppose t = -o - o + i. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5136?\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2\/3 - 4\/3. Let l be (-16)\/40 - (2 - (0 - -2)). What is the second smallest value in 1\/10, -0.06, t, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/46 and -46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 u when two letters picked without replacement from qlulpqqqlpppp?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**3 + r - r + 15*r**3 - 18*r**3 - 25*r**3 + (3 - 3 + 1)*(-r**3 + 3*r**3 + 0*r**3) + r**3 + 2*r**3 + 0*r**3.\nAnswer: -25*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k - 11. Let d be s(-8). Let x be (1569\/4)\/(d\/(-2)). Let y = x - 252. Find the common denominator of 10\/11 and y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 65681319?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + (sqrt(17) - (sqrt(170)\/(sqrt(10) + -2*sqrt(10)) - sqrt(17))) - sqrt(17) - sqrt(17)*-1*-4)**2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/(-44) - (-2)\/(-11). Suppose d = s - 2*s. What is the nearest to -1 in s, 0.2, -4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.1 + 0.4. Let i = m - 0.8. Let b = -2 + i. What is the nearest to 0 in b, -2\/17, 0.5?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x**2. Let a(h) = -h**2 + 3*h + 2. Let k(n) = -n**3 + 5*n**2 + 2*n - 7. Let v be k(5). Let y be a(v). Let u(c) = c - 5*c + y*c. What is q(u(b))?\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-18)\/4)\/(15\/(-440)). Let m = -658\/5 + p. Put m, 3, -3 in decreasing order.\nAnswer: 3, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 + 68*f**2 - 137*f + 77. Determine a(-70).\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 38 = -10*f + f, -85*f + 87*f + 2*q + 12 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of 13*u**3\/3 + 7*u + 2. Let y(o) = -o + 2. Let q(l) = 9*l**2 + 4*l - 3. Let g(p) = -q(p) - 4*y(p). Calculate 7*g(t) + 5*x(t).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 921509.\nAnswer: 71, 12979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-7)\/14 + (-2)\/(-36). What is the biggest value in 4, y, -1\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 - 17*f + 25. Let k be v(17). Let n be 2\/(-5) + 435\/k. What is the greatest common factor of 34 and n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6602, 6607, 6616, 6629, 6646, 6667, 6692?\nAnswer: 6721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 183?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-688)\/(-18) - (-34)\/(-153). What is the smallest value in a, -1\/9, -4, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -d + 4, -3*n + 44 = -44*d + 49*d. Solve -2*l = 6*x - 5*x + d, -2 = l + 2*x for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.5, -2, -1589, -1\/4, -0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -67 - -153. Calculate the remainder when 514 is divided by p.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-3)*(-6)\/(-4). Let l = 0 + 4. Let w = 0.191 + 0.009. What is the third biggest value in l, k, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 + -13. Suppose 42*d - 18 = 102 + 6. Suppose -12 = 2*g + 4*i, -6 = -d*i + b*i. Solve g = -3*j - j + 16 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*f = 10*f - 3 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + -2)\/(2\/(-4)). What is the units digit of ((-5)\/10)\/(i\/(-12))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.17 * 35\nAnswer: 5.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, n: 1, f: 1, k: 2}. What is prob of sequence fkk?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2832 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 8.9 + 516046515197\nAnswer: 516046515205.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of 3*p**2 + 3 - p**2 - 2. Is m(5) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of -9*p**2 + 0*p**3 - 1\/12*p**4 + 0 + 0*p**5 + 1\/720*p**6 + 0*p. Let q(c) be the second derivative of u(c). Determine q(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -187 * 0.4.\nAnswer: -74.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 111*s + 11652 - 11652 as t + d*s and give d.\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*j - 432 = -80*j. Does 6 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21578.052 rounded to the nearest 10?\nAnswer: 21580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1774468?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*f**3 + 16*f**3 + 2*f**2 + 29263 - 29263 - 31*f**3 - 2*f**2.\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12 - 9 - -5*1. Calculate the lowest common multiple of 8\/2*b\/2 and 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1748\/(-299) - 2\/13?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/2 + 4587*b\/2 - 18380.\nAnswer: (b - 8)*(b + 4595)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/m**0)\/m*m*m*m\/m**(2\/3)*m)**(-2\/79))**10 assuming m is positive.\nAnswer: m**(-200\/237)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 5:48 AM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*p = 113*p - 2*a + 5, 2*p + 6 = 2*a for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 5*o = -55, -3*o = -8 - 1. Calculate the remainder when h - (-2)\/3*3 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/58 and -23\/16.\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 99 + -93. What is the remainder when 40 is divided by f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -123435555 (base 6) in base 8?\nAnswer: -11156177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + 3 + 5 + -12?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 3 = 5*u, -3*u + 2*v - v + 1 = 0. Suppose 69*k + 4*q = 70*k + 30, -2*k - 24 = -2*q. Sort u, k, 4\/3.\nAnswer: k, u, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -55 in 1, -5\/12, 4?\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of 7*n**5\/120 - n**4\/6 + 5*n**3\/6 + 13*n**2. Let y(o) be the first derivative of r(o). Differentiate y(z) with respect to z.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(((-76)\/12)\/(-19))*(-70)\/75*-20\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-2*4))\/(1\/(-1))\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 101, 99, 91, 77, 57, 31?\n\"Answer: -3*y**2 + 7*y + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5035.064 centuries in decades?\nAnswer: 50350.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 + 48*f**2 + 9*f + 220. Is s(-44) a multiple of 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 10853771 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 15 (base 11) to base 5\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 18\/(-45) + 54\/10. Suppose n*i - 12 = -2*v + 3*i, 4*v - i - 24 = 0. Calculate the greatest common factor of v and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-16)\/s*s**(-16))\/(s**1)**(-7) assuming s is positive.\nAnswer: s**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 3*y - 16 = 0. Suppose -j = -4*j + 3. Let u(n) = -5*n**3 + n**2 - 2*n + 1. Let t be u(j). Sort t, y, 5 in increasing order.\nAnswer: t, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -18, -12, 16, 78, 186, 352, 588?\n\"Answer: 2*c**3 - c**2 - 5*c - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -206 + 2264\/11. What is the third biggest value in 2, -0.5, 4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**5*r\/(r*(r\/r**(-1\/6))\/r*r*r))\/(((r\/((r*r\/(r*r**(7\/2)\/r))\/r))\/r*r)\/((r*r\/r**(-2))\/r*r)))**(2\/11))**(2\/3) assuming r is positive.\nAnswer: r**(52\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2816 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 8*v**2 - 174*v - 4425. Give m(-15).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**2\/7 - 8670560*r\/7 - 9397326339200\/7 = 0.\nAnswer: -2167640","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -172*o + 1371. Let f be n(8). Put f, 2018, 5 in increasing order.\nAnswer: f, 5, 2018","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95396 is divided by 95389?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/32614 and -105\/15598.\nAnswer: 358754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(104)\/(sqrt(8) + sqrt(24)\/sqrt(3)) + (sqrt(13) + 2 + sqrt(13))**2 + -4).\nAnswer: -208 - 34*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 655 - 339. Suppose m = 4*q - 4*p + 48, -q - 5*p + 61 = 0. Suppose 0 = -4*k, -q + 20 = -2*b - 2*k. Calculate the remainder when 44 is divided by b.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 216.06221 and -5.\nAnswer: 211.06221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 23*c**2 - 3*c + 10632?\nAnswer: 46*c - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a\/a**(-2)*a))**(-30))**(-36)\/((a*a*a**(6\/11)*a)\/(a**(-4\/9)*a*a))**(-2\/87) assuming a is positive.\nAnswer: a**(-37207766\/8613)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -0.16864, -5, -1\/4, 0.3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 3, -8, 2, 7 in ascending order.\nAnswer: -9, -8, 2, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-30)\/33*3\/(-6). Let p = -37\/33 + j. What is the closest to 0 in 4, p, 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 3*j + 4 = -2*j, 4*j = g + 16. Suppose -7*f - 7*f + 392 = g. Solve -6*o = -2*o + 2*b + f, 4*o - b = -16 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 9*s**3 - 4*s**2 - 3*s - 2. Let g be m(2). Let i(u) = 2*u**3 - 12*u**2 + 6*u + 60. Let d be i(9). Calculate the greatest common divisor of d and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 8 - (-19 + -16 + 0).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -13d3 - -129?\nAnswer: -12a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 7*q**2 + 0 - 8*q**2)*(-4*q + 4*q - 2*q).\nAnswer: 2*q**3 + 6*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000046734 to 6 dps.\nAnswer: -0.000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -429677, -428490, -427303, -426116, -424929, -423742?\nAnswer: -422555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 5*v - 3, t - 3*v = -4*t + 2. Let y = -0.9 - -1. Let m = -1 + 0. What is the second smallest value in m, y, t?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of a**8\/30240 - a**7\/7560 + a**5\/20 - a**2. Let p(g) be the third derivative of f(g). Factor p(b).\nAnswer: 2*b*(b - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -8*w**2 - 17. Let x(o) = -15*o**2 - 33. Let i(t) = -4*x(t) + 7*y(t). What is the first derivative of i(d) wrt d?\nAnswer: 8*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-36)*3 + 476\/16. Suppose -c*t - 230 = -35*t. Let l = t - 35. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + r - 6*r = 0. Solve r*o = 44*o + 44 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -448132557*g*l**2 - 1491*g*l - 4*l - 23799 wrt l?\nAnswer: -896265114*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 23031302 (base 4) in base 2?\nAnswer: 1011001101110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 4*n + 18. Let u = -4 - n. Suppose 0*q = -q + u. Solve -q = c + z, -5*c + 4*z + 10 = 38 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 15 = -2*a - 3*r, 0 = 4*a + 4*r - 20. Let j be 1 + a - (-2 + 5 + 0). Let x be j + 16\/4 + -5. Let y(o) = -3*o - 4. Give y(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -16223, -14896, -13565, -12230, -10891, -9548, -8201?\n\"Answer: 2*a**2 + 1321*a - 17546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 49188767 to the nearest integer?\nAnswer: 7013","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 62 - g - 22 - 17 - 22. Let i(d) = -5*d**2 - 6*d + 2. Let k(w) = 6*w**2 + 6*w - 2. Let v(x) = -7*i(x) - 6*k(x). Calculate 4*r(c) + v(c).\nAnswer: -c**2 + 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 159 + -25?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*z**3 - 14*z**4 + 13*z**4 - 4*z**2 + 2*z**2 to t*z + n*z**2 + m + y*z**4 + j*z**3 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70674 divided by 70674.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -41 + 81 - 68 - 2*q**3 + 76*q**4 + 3*q**3 wrt q.\nAnswer: 304*q**3 + 3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 PM and 6:10 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by -20926.\nAnswer: 4\/10463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 1351*j - 45. Let k be q(45). Round k to the nearest one thousand.\nAnswer: 61000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -2*i**3\/17 + 732*i**2\/17 - 1458*i\/17 + 728\/17 = 0?\nAnswer: 1, 364","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 8:03 AM?\nAnswer: 6:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 3*s - 3947, -2*p = -2*s + 3*p + 2643. Let x be (-4)\/14 + 12848\/s. Let c = x - 1209\/68. What is the common denominator of 31\/8 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 20*r*w - 245*w with respect to r.\nAnswer: 20*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 611731728?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -7 - -0.14511\nAnswer: -6.85489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -13*j + 399. What is the remainder when x(18) is divided by 78?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**4\/3 - 102376*z**3\/3 - 1164549750*z**2 - 13247529750000*z - 13246365234375 = 0. What is z?\nAnswer: -34125, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 350 = 1751\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*h = 37*h - 1986. Let y = h - 329. Suppose 2*v + 0 = 8. Solve y + 2 = v*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = q - 0. Let s(b) = b**3 - 5*b**2 + 6*b - 1. Calculate the remainder when 19 - (-5 + 105\/(-49) + 12\/(-14)) is divided by s(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-60)\/(-26))\/(-5) - (5436\/52 + -91).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 4*q - 0*q. Let z = q - 9. Is 59 + 8\/(z + -4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 10*d + 38. Let c be a(15). Suppose 16*m - 2*o = 15*m + c, -o = -4. What is the least common multiple of m and 11?\nAnswer: 2156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*j = -2547 - 183. Let n = j - -570. Is 40 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000658098962 rounded to 7 decimal places?\nAnswer: -0.0006581","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 36 = 3*l. Let v(k) = 4*k - 7. What is the units digit of v(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - r = 5*h - 275, -2*r + 210 = 4*h. Suppose -9*j - j + h = 0. Suppose 3*y - 3 + 0 = 0, -j*o = y - 1. Solve -6*f + f - 20 = o for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b - 2*b + 0*b)*((71*b**2 - 364*b**2 - 62*b**2)*(-2*b - 1 + 1) + 3*b**3 - 3*b**3 + b**3).\nAnswer: 1422*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 658772*c**3 + c**2 + 2*c - 1299085.\nAnswer: 1976316*c**2 + 2*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24391*y - 4883*y - 4875*y - 4878*y - 4877*y - 4877*y.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of -h**3\/2 - 27*h**2\/8 + 39*h\/2 - 31. Find d, given that b(d) = 0.\nAnswer: -13\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-50)\/(-35))\/((-2)\/(-14)). Let v be 2\/12 - 1\/6*-23. Suppose 4*d - m = 10, 5*n - v*d = 225. List the prime factors of n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-238)\/(-28))\/((-2)\/(-4)). Suppose 24 = -14*f + q*f. Solve -c = -3*c - f for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41, -125, -4.\nAnswer: -125, -41, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = m - 204 + 23, -4*u - 201 = -5*m. Let h = u + 121. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - m = 0. Let a = m + 1. Let l(r) = -5075*r - 20295. Let f be l(-4). Solve -2*u + a = -f for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1275 less than or equal to -1313?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -1136.979 to zero decimal places.\nAnswer: -1137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.95521 years in centuries?\nAnswer: 0.1495521","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of 0*q + 0*q**3 + 10*q**2 + 0 + 0*q**4 - 1\/75*q**5. Factor b(a).\nAnswer: -4*a**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1997.\nAnswer: 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38004 and 1167?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(42\/4)*(-2)\/4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -404 and -460 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1761487903?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (99 - 3*g - 4*g + 6*g)*(-5*g + 6 - 6).\nAnswer: 5*g**2 - 495*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7699683 divided by -3?\nAnswer: -2566561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**2 + 313560*f + 4915993680.\nAnswer: 5*(f + 31356)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*((4 - 0 - 8) + 2). Which is smaller: i or -4\/3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f, 1 q, and 1 n when four letters picked without replacement from {f: 4, n: 1, o: 1, m: 1, q: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -11, -5\/9, 3, 5 in decreasing order.\nAnswer: 5, 4, 3, -5\/9, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11101000011 + 101010010001?\nAnswer: 1101001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000753509043 to 7 dps.\nAnswer: 0.0000754","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 0.3892243?\nAnswer: -0.6107757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 82\/(-287)*(-7)\/8\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 722 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 + 5593808.\nAnswer: 5593807.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a183 + f3?\nAnswer: -a090","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one fifth of a century?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 j when two letters picked without replacement from lzvrj?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.8012 millilitres in litres?\nAnswer: 0.0188012","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k**3 + 78*k**2 + 1119*k + 43534. Calculate l(-39).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 18 = p, -3*t + 24 = -4*p - p. Let i(d) = -48 + 2*d - 49 - 5*d**2 - d**3 + 95. What is i(p)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -7*k + 78. Calculate n(12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 25444759255 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -5*q + 26. Let v = 11346 - 11345.5. Which is the nearest to -2\/7? (a) v (b) q (c) 0.047\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 83, -4, -20787, 7 in decreasing order.\nAnswer: 83, 7, -4, -20787","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-557 - 80*x + 557)*(3*x + x - x) + 4*x**2 - x**2 - 2*x**2 + (1 - 2*x - 1)*(-2*x - 3*x + 3*x) to the form m*x**2 + g + l*x and give m.\nAnswer: -235","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1503136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 49*r**2 + 26*r**3 - 47*r**2 - 2*r + 4*r to the form d + c*r + y*r**3 + x*r**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 6*u = -j - 10, 3*j = u - 2. Let n = -5.03 + 0.03. Let m = n + 7. What is the closest to 0.7 in u, m, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**5\/7 + 46752*v**4\/7 + 93472*v**3\/7 - 1309008*v**2\/7 - 373904*v\/7 + 4488000\/7 = 0 for v.\nAnswer: -46750, -6, -2, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 5*y - 28, 2*y - 5*a = -a + 24. Suppose -2*p + y*b = 2, 4*p - 3*b - 6 = p. Suppose -p*v + 5*w - 50 = 0, -5*v - 6*w = -3*w + 18. Sort 4, v, -3.\nAnswer: v, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 108246?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -322, -646, -982, -1336, -1714, -2122, -2566?\nAnswer: -3052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.05142*-0.212195.\nAnswer: 0.0109110669","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -4*q + 32. Suppose -3*t = -q*t. Let c be -1*(t - (-28)\/(-4)). Calculate the greatest common divisor of 1 and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + (-1 - 8 - -6) + 13?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x*(x**20*x*x)\/x*((x\/((x*x*x\/x**(-3))\/x))\/x)\/x)\/(x**32\/(x\/x**(5\/3))) assuming x is positive.\nAnswer: x**(-44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -291, -648, -1019, -1404?\n\"Answer: -7*c**2 - 336*c + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = 5, -d = 4*j - 3*d - 10 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9\/5*z**2 - 3\/5*z**3 + 48\/5*z + 36\/5.\nAnswer: -3*(z - 6)*(z + 1)*(z + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*b*r**2 + 5*b*r - 50*b + 4*r**2 + 1004 wrt b?\nAnswer: -3*r**2 + 5*r - 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 2:01 PM?\nAnswer: 1:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 294815 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2204*b**3*r**3*w**3 - 2*b**3*r**3*w**2 + 2*b**3*r**2*w**3 - 133*b**2*r**2*w**3 + 24*r**2*w wrt r.\nAnswer: 13224*b**3*w**3 - 12*b**3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3759 + -3754. Solve -11*c = 5*y - 9*c + 8, -4*y + 20 = -b*c for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-1\/3))**(-48)*((n*n\/(n*n**(2\/3)))\/n)\/((n\/(n**(-6)\/n))\/n))**(-23\/5) assuming n is positive.\nAnswer: n**(989\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*a + 22*a - 90343 = -r, -3*r + 271049 = -a. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, h: 1, c: 2, t: 1, w: 3, p: 3}. Give prob of picking 1 p and 1 k.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/4 and 31\/419414.\nAnswer: 838828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1553321103 + -5?\nAnswer: 1553321054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of -5*u**3\/3 + 7*u**2\/2 - u. What is the first derivative of l(s) wrt s?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1 + sqrt(252) - sqrt(252))**2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -3*l. Let z(a) = 682*a. Calculate z(k(b)).\nAnswer: -2046*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 + 2 + (261 - (-283 - -546))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 - 10*n**2 - 8*n + 31. Let q be t(-6). Sort -4, 4, q in descending order.\nAnswer: 4, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 4*d + d + 1 - 1 - d**2 - 1. Let v be p(4). Factor 0*n**2 - n**2 - n**2 - 2*n**v.\nAnswer: -2*n**2*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32\/8*(-2)\/(-2)*(-828)\/(-14076)\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 2\/13*n**2 + 4\/13*n.\nAnswer: 2*n*(n + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 + 19*x**2 - 19*x + 20. Let w be o(16). Suppose 2*h + h + 4*b = w, 3*h = 4*b + 500. Is h a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of -139\/6*k**3 - 19\/20*k**5 + 0*k**2 - k + 123 + 4\/15*k**6 + 0*k**4. Find the second derivative of a(z) wrt z.\nAnswer: 96*z**2 - 114*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/56104017 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of 13*u**6\/30 - u**5\/20 + u**4\/12 - 31*u**2. Calculate the remainder when t(1) is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 16.158 and -9.2.\nAnswer: -148.6536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 4*q**2 + 7*q. Let z be n(-5). Let f = z - 50. Let d(u) = -u**3 + 15*u**2 + 2*u - 12. Calculate the remainder when d(f) is divided by 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qbqqqbqb. What is prob of sequence qq?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 18. Let f be (-4)\/28 + (-46199998)\/n. Round f to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2\/7))**(-49)\/((m\/(m*m*m**6*m))\/m**(3\/7)))**32 assuming m is positive.\nAnswer: m**(5024\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - 14114?\nAnswer: -14113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 6:59 AM?\nAnswer: 12:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bmtbbmktttnsbnnbm. What is prob of picking 2 b, 1 t, and 1 m?\nAnswer: 6\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 16*w - 227. Determine a(17).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 12*u. Let n(f) = 4*f - 11. Let p be n(16). Let y = p + -51. Give w(y).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v and 1 y when four letters picked without replacement from {y: 2, v: 7, g: 8, n: 1}.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3500013 - 10499991 + 2*m + 3499960 + 3500018.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(14\/11)*(x*x\/((x*x*x*x\/((x\/x**(3\/43))\/x))\/x))\/x assuming x is positive.\nAnswer: x**(-377\/473)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 24721519 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/((-3)\/3*1)*42\/(-126)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.29 (b) 14 (c) 418 (d) 5 (e) 2\/13 (f) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -z + 16. Suppose d - 10 = -z*d. Let x be -3*d\/(-6)*17. Calculate the highest common divisor of x and 136.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9882 and 549?\nAnswer: 9882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4244 + -4243.9999998421. What is j rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -52*k**2 - k + 1. Let r(y) = -155*y**2 - 3*y - 22. Let a(x) = -3*f(x) + r(x). Determine a(0).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence um when two letters picked without replacement from {k: 2, m: 1, u: 1, s: 1, d: 4, n: 3}.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-1)*6*7\/14?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 18*y - 16*y. Let i(j) = 18*j**3 - j**2 - 3*j - 3. Let m be i(-2). Let l = 209 + m. What is the greatest common divisor of y and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2 + 0 + 2*h**2 + 8*h + 2 - 4. Let s be r(-6). Suppose -2*v + v + 4 = c, 5*c - s = -3*v. Let u(m) = -m**2 + 4. Give u(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 v when three letters picked without replacement from {j: 4, b: 1, v: 2, i: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -8. Let y be (-3)\/3 + g - 1. Let r(w) = 5 - 2*w + w + 3*w. What is r(y)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 552871 and 552871 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/l**(-2\/3))\/l*l*(l\/l**(4\/3))\/l*l)\/(l**7\/(l*l**(-1\/6))))**(-2) assuming l is positive.\nAnswer: l**(29\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of 35*j**2 - 4*j + 0 - 79\/6*j**3. Find the first derivative of u(w) wrt w.\nAnswer: -79","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47, -2699, -5 in decreasing order.\nAnswer: 47, -5, -2699","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6309*a + 1 - 11315*a - 1 + 16*a**2 + 4993*a.\nAnswer: 16*a**2 - 13*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 5*l = 756 - 721, 4 = 2*g - 3*l - l for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, z: 1, s: 2, t: 1, f: 3}. What is prob of sequence xf?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, n: 7}. Give prob of picking 2 g.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 144*m**2. Let g(j) = j**2 - 18. What is w(g(y))?\nAnswer: 144*y**4 - 5184*y**2 + 46656","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*p - 95 = -7*p + 665 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of 9*v**2 - 15*v + 20. Let a be r(2). Solve l + 10 = -l + 5*s, -4*s + a = l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -346 - 298 = -51*w - 185. Solve 0*p = -w*p - 63 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4734.3 and -21.3?\nAnswer: -100840.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 9 = -t. Let i(l) = -1 + 89*l - 55*l - 1. Let b(n) = 3*n. Let f(r) = 22*b(r) - 2*i(r). Calculate f(t).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from ccc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -50313 + -0.02\nAnswer: -50313.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2\/15, -1\/12 in ascending order.\nAnswer: -1\/12, 2\/15, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -80 + 84. Let k = -14 + 14. Suppose k*j - 5*j + 30 = 0. Calculate the greatest common divisor of g and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4\/21 of a week?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.53 - 9.53. What is the biggest value in q, -3, 0.1, -0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 7. Suppose -55 = 3*b + s*b - 5*p, -2*b + 3*p = 21. Let r = -7 - b. Solve -32 + 7 = r*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (105*42\/490)\/(12\/(-124))?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**4\/7 - 51*g**3\/7 + 144*g**2\/7 + 4*g\/7 - 192\/7 = 0. Calculate g.\nAnswer: -1, 2, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 + 9*j**2 - 8*j + 16. What is v(8)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u**2 + 69*u - 74. Calculate m(31).\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2607?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1258, -4014, -8598, -15004, -23226, -33258, -45094, -58728?\n\"Answer: m**3 - 920*m**2 - 3*m - 336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 4*m**2\/5 + 616*m\/5 + 23716\/5 = 0.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1807089883 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -35*x + 133670 - 203*x - 2*x**2 - 133906.\nAnswer: -2*(x + 1)*(x + 118)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 35*f - 36*f - 5*c, 6 + 15 = 5*f + 4*c + 6 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4\/129 + -2213\/645. What is the common denominator of 37\/6 and m?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12388?\nAnswer: 2, 19, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 0 = 16. Suppose -4*o + 0*o = -v. Suppose -7 = -5*t + o*t. Calculate the greatest common factor of t and 70.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15 in -0.3, -2, -1\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4750999 + 12093\nAnswer: 4763092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 3*t = 0. Suppose g + 13 = -2*c, t = 2*g + 14 - 4. Suppose 0*j - 3*j - 4*o = -31, 0 = -4*j - 2*o + 28. Put j, c, 6 in increasing order.\nAnswer: c, j, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 620906 a multiple of 169?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -74, -8 in ascending order.\nAnswer: -74, -8, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -5*q**3 + 54*q**2 + 5*q + 62. Give p(11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - ((3 - 6) + -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1566 divided by -5?\nAnswer: 1566\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 3. Let t be (f\/3)\/((-2)\/(-3)). Let v be 4\/(-10) - t\/(-10). Which is the second biggest value? (a) -1\/2 (b) v (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -5)\/(11\/55)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.37 - -101.37. Let i = -101 + h. Let y = -41\/12 - -11\/4. What is the nearest to -1 in 7\/3, y, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - 1 - -3 - -2. Find the second derivative of -3*w + o*w**5 + 0*w - w**5 wrt w.\nAnswer: 60*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 2:41 AM?\nAnswer: 3:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/43848 and 163\/73080?\nAnswer: 219240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of -623*r**5\/20 - 375*r**4\/8 + 49*r**2 + 13. What is the second derivative of v(s) wrt s?\nAnswer: -3738","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-3*(2 + ((-2*2*sqrt(153))**2 - (4*(sqrt(119) + (sqrt(119) - sqrt(119)*-2)) + sqrt(119))\/sqrt(7))).\nAnswer: -29400 + 204*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 36 = 3*z, -9780 = -5*b + 4*z - 9758 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 - 1. Let v be l(1). Let d be v + -4 + 5 - -5. Suppose 3*n - 971 = -2*p, -d*n = -4*n + 2. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.1547862918 to four dps.\nAnswer: -1.1548","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 5 + 53 = 0. Let u be 3\/c + (-5)\/4. Let g be (2 - -4)*u\/(-2). Solve 2*y = -1 - g for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1062.61631*3.\nAnswer: -3187.84893","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/136)\/(2\/(-32))*410\/(-1640)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -3*i**3 - 157*i**2 + 6435*i - 241. Calculate j(27).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 152070, 152065, 152060, 152055?\n\"Answer: -5*d + 152075","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 179068744451 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4006.216 millennia in centuries?\nAnswer: 40062.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -238 + 236. Let n(p) = 6*p**2 + 2*p - 2. Let a(m) = 78*m**2 + 27*m - 27. Give u*a(t) + 27*n(t).\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 2*o + 5044 = 0, -5*o - 5065 = -31*i + 26*i. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-55)\/154*8\/(-5))\/((-2)\/7). Let x(m) = 25*m**3 + 2*m - 2. Let h(t) = -2349*t**3 - 189*t + 189. What is l*h(s) - 189*x(s)?\nAnswer: -27*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -55 divided by 9848\nAnswer: -55\/9848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 67 = 3*v, 2*a - 29 = 5*v - 2. Suppose -5*w + 3 = -4*w. Suppose -w*f + 5 = -a. Calculate the greatest common factor of f and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 14 - 4\/(-48)*-132. Solve 0 = -g*s + 5*f - 10, -4*f + 15 = -f for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.11*-11.7972\nAnswer: -1.297692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 - (-485 - 0\/1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1421?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - -100?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 AM and 9:29 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -113 - -124. Is (-8)\/(-2) - (-15352)\/(x - 3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w - 3*w + 14*w)*(w**2 - 2*w**3 - w**2) - 2*w**4 + w**4 + 2*w**4 - 5*w**3 + w**4 + 5*w**3.\nAnswer: -28*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1125 + -4?\nAnswer: -1131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-9)*(-184 + (-1245695)\/(-6776))?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 100 = -5*w, 7*x - 100 = -5*w + 12*x. Solve -w = -4*q - 24 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*h - 13*h. Suppose 2*g + 3*g = h. Solve -2*v + 0*v = g for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 3 + (9 - 0 - 5) + 28?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 128*d**3\/17 + 16774*d**2\/17 - 16110*d\/17 - 792\/17 = 0.\nAnswer: -132, -3\/64, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z, 4 = 5*g - 4*z - 16. What is the second derivative of 85*t**3 - g*t**5 - t**5 - 85*t**3 - 6*t wrt t?\nAnswer: -100*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 - 558215?\nAnswer: -558215.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 264*r**2 + 99*r**2 + 572*r**2 - 251*r**2.\nAnswer: 684*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 63280942?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -311 + 314. Solve 5*d - 3*d = 4*h - 6, 0 = o*d - 5*h + 7 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1466 (base 16) to base 12\nAnswer: -3032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.073 (b) 0.1 (c) 2 (d) 7.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/1721397 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 4. Let y(f) = 2*f + 6. Let k be ((-7)\/14)\/(2\/20). Let u be y(k). Which is the nearest to g? (a) 0.1 (b) 5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 339*d - 40674. Determine n(120).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 78.083 + -0.083. Let k = n + -80. Which is greater: k or 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, -3\/5, -0.027, -5.598, -2\/7, -2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**0\/(n\/(n**0\/n))*((n\/n**3*n*n)\/n)**(8\/5))**(-7\/8) assuming n is positive.\nAnswer: n**(63\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 3*u + 10, 2*a - 7 = 5*u. Let n be 1*-5*1 + -1 + a. Put -14, 0, n in increasing order.\nAnswer: -14, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 + 24*j - 94. Let i be w(18). Suppose 19*d - 10 = i*d, 5*a - 4*d = -8. Solve -3*n + 5*n - 2 = a for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 274469, 548940, 823411?\nAnswer: 1097882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-32))\/(243\/(-324))*4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 - 10*c**2 - 13*c + 1. Let r(b) = -b**3 + 3*b**2 - 2*b - 3. Let o be r(3). What is the smallest common multiple of x(o) and 11?\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -244*p**3 - 315*p**3 - 436*p**3 - 329*p**3 + 987*p**3.\nAnswer: -337*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of 2*y + 0*y**3 - 1\/6*y**4 - 11 + 0*y**2. Let w(a) be the first derivative of -9*a**2 - 1. What is r(w(d))?\nAnswer: -648*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1692*c**4*m**3 + 3*c**4*m + c**2*m**2 + 98*c**2 + 2*c*m + 2*m**3 wrt c.\nAnswer: -40608*c*m**3 + 72*c*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 198.7 in -2\/137, -0.1, -4\/11, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -13673 - 18.45149381\nAnswer: -13691.45149381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7364089 to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19829375.\nAnswer: 5, 31727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 28\/37 and -17\/1369.\nAnswer: 1369","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1759027 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 102943 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89870451 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -2*g**2 + 556*g - 38642 = 0.\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 389\/33 - 53795\/4488. Calculate the common denominator of 49\/51 and s.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -788*y**3 + 665*y**2?\nAnswer: -4728","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 13) in base 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 373 = 3*q + 4*n, -2*n = -3*q + 185 + 218. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*g*p**2 - g*q**2 + 2*p**2*q + 27*p*q**2 - p*q wrt g?\nAnswer: 4*p**2 - q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 40 or 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/8832*-23)\/((-9)\/8)?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(-5) - -7 - 4. Suppose -2*y = o*y - 25. Suppose 108 = -y*z - 7. Is z at most as big as -24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.4 - 5.2. Let l = f - -2.8000011. Round l to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 159528106*r**2 - 54979848*r**2 + 121326024*r**2.\nAnswer: 225874282*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - 2010?\nAnswer: -2010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/40560 and 21\/13520.\nAnswer: 40560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12351 + 3013 = -23*n. Calculate the highest common factor of 14 and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 8*d = 0. Solve -10 = 2*s + 5*t, d*s = 4*s - 3*t - 32 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/49*-7*(-2)\/1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 188503 bigger than 188502?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5*(-6)\/2175)\/((-78)\/(-390))?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 3651 divide 738184737?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 + 4*s + 24. Let i be d(7). Suppose -3*w + 2*n = -22, -i*w - 4*n + n = -12. Which is the biggest value? (a) w (b) -2\/15 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 11 = 2*j, -j = -3*m - m - 8. Let n = -7\/9 - m. Let w(h) = -h**3 - 8*h**2 + h + 9. Let o be w(-8). Does o = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167149 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 - 5*j**2 + 4*j + 3. Let m be f(4). Let d(r) = -r**2 - 5*r - 3. Let s be d(-4). Suppose q = -s + m. Solve 0 = -0*o + q*o - 10 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.845 rounded to 1 decimal place?\nAnswer: 9.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sle when three letters picked without replacement from {s: 5, i: 3, e: 2, l: 3}.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 105, 98, 91, 84?\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 v when three letters picked without replacement from {n: 1, v: 4, s: 1, f: 1, c: 3, h: 5}?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1926080 divided by 416.\nAnswer: 4630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*0.153\nAnswer: -0.0306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 39*c + 271. What is the remainder when j(0) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22809087*y - 3772 = 22809179*y for y.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1\/37 + 5285\/222. Find the common denominator of -47\/5 and u.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n - 1. Let t(r) = 3*r - 3. Let s(j) = -17*g(j) + 6*t(j). Let o(l) = -2*l + 3. Suppose -2*p + p = 2*q - 5, -2*p = -6. Determine q*o(y) + 4*s(y).\nAnswer: 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 21*g - 3*g**2 + 4 - 25*g + 1.\nAnswer: -3*g**2 - 46*g + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 12:09 AM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4356, -4732, -5362, -6252, -7408, -8836, -10542?\n\"Answer: -y**3 - 121*y**2 - 6*y - 4228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*4\/(8 + 4). Which is the third smallest value? (a) j (b) 0.5 (c) 86\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25 - 32) + 7 - -42?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10146 and 2451?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 277035052 - -70.\nAnswer: 277035122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 302870 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of c**4\/12 + c**3\/6 + 3*c**2\/2 + 4*c. Let t = 9 + -5. Let a(s) = -s**2 - s - 2. Determine t*y(o) + 5*a(o).\nAnswer: -o**2 - o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 - l**2 + 2*l - 1. Let m = 23 + -26. Determine o(m).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vms when three letters picked without replacement from mbmmvsmmbmbmes.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105*x**3 + 5*x - 5*x + 0*x**2 + 5*x**2 + 2*x**2.\nAnswer: 105*x**3 + 7*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(3770\/156)*3*3\/27?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14051.2 - 14060. What is h rounded to 0 dps?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -1 (b) -22 (c) -0.2 (d) -0.4 (e) 5\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5, a: 3, f: 2, b: 2}. Give prob of sequence aab.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + -4)\/21 - 34\/(-66)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.42 (b) -0.4 (c) 5092\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 0)*(6 - 3*o - 6)*(-3*o + 2*o - 2*o).\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -46.682513702 and -0.4.\nAnswer: -47.082513702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*z**2 + 3*z + 12*z + 26*z**2 - 15*z.\nAnswer: 39*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/((t\/((t**(-2)*t)\/t))\/t)*t)**(2\/35)*(t**(3\/7))**26 assuming t is positive.\nAnswer: t**(78\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 56628 and 1266?\nAnswer: 11948508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 13 = -2*b + 5, -4*a + 56 = -4*b. Let y(q) = -q**3 - 10*q**2 - 10*q + 17. What is the tens digit of y(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -28749 and -1.896?\nAnswer: 28747.104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 32235 + 45450. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1608882 to three dps.\nAnswer: -0.161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-22) - (753\/(-33) - 4). Let t = 24 + o. Is t a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1, 4, 9, -0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 219135377?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 12ace5 (base 16) to base 13\nAnswer: 33b10b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t. Suppose 9*q = 3*q + 6. Let o(x) = 15 + 5 + 2*x - 19. What is q*o(w) - a(w)?\nAnswer: w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 263 = -5*v + 3. Let i be 148\/v + (-2)\/13. Let x be (5\/3)\/((-3)\/9). Sort i, x, 5 in ascending order.\nAnswer: x, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -300 = 44*z - 104*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -3*j + 21. Let r = -15 - j. Let d(s) = 2*s. Let c(a) = 2*a. Give r*d(m) - 5*c(m).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -705*s + 704*s + 3*b + 183, 3*s + b - 509 = 0. Solve -175*c + s*c + 8 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 199\/6 - 33. Let c be (-12)\/(-50)*((-140)\/8)\/(-7). Sort l, c, 3 in increasing order.\nAnswer: l, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 70 = 5*i, 2*g + 4*i = 4*g - 32. Let h(a) = 10*a + 6. Let v be h(g). Suppose -10*b = -3*b - v. What is the remainder when 160 is divided by b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*o - o**4 + 1 - 4*o + (2*o - 1 + 1)*(-1 + 1 - o**3).\nAnswer: -3*o**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3242*z**2 + 4068*z**2 - 8632*z**2.\nAnswer: -1322*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.65 + -0.15. Let w = 18 - 19.4. Sort 5, o, w in decreasing order.\nAnswer: 5, o, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.19*-18.4.\nAnswer: 3.496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 2*a = 300, -5*l - a + 1047 = 285. Suppose 4*k - 100 = -24. Calculate the highest common factor of l and k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7797720677 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 219 a factor of 298453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a minute in seconds?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*l**2 + 11*l**2 + 6*l**2 + 33*l**4 + 8*l**2 wrt l?\nAnswer: 792*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3225 + -3220. Sort t, 6, 8, 1, -3.\nAnswer: -3, 1, t, 6, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 + 9*n + 2. Let a be p(9). Suppose -4*g - 45 = a*l - 5, 6 = -3*g. Let d = l - -20. Solve -3*w + 4*s = -13, -3*w - 2*s + d*s = -11 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -351 = -5*u + 4*j, 4*j = 125*u - 124*u - 67. Which is the closest to u? (a) -5 (b) -2\/21 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -1\/75 (b) 42947 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 59 - 41. Let j = -11 + g. What is the greatest common factor of 28 and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -39*i + 526. What is u(13)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 z when two letters picked without replacement from {z: 4, c: 1, l: 2}?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3780038 is divided by 1889965.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4750 = 373*i + 9192 - 141 for i.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 5*c**2 - 47*c - 25. Let j be ((-148)\/(-296))\/((-2)\/(-96)*-1). Is w(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 15*y**2 - 4*y - 9. Let n be r(-2). Let x be ((-4)\/(-2))\/1 - -9. Suppose q - n = x. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - (sqrt(170)\/sqrt(90) + sqrt(17) + sqrt(17))**2) + 1 + -5.\nAnswer: -869\/9 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(2\/7))\/o**(-4\/3)*(o*o*o\/(o*o**4\/o)*o*o)**48)**(1\/55) assuming o is positive.\nAnswer: o**(1051\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 247897 is divided by 157?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 306429*y**3*z + 568107*y**3 wrt z?\nAnswer: 306429*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -265 - 64*q**2 - 63*q**2 - 1889*q**3 + 195*q**2 - 69*q**2 - 736 wrt q.\nAnswer: -11334","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1878.\nAnswer: 2, 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*u**5 + 322*u**3 + 4*u**2 - 380*u - 3 wrt u?\nAnswer: 60*u**3 + 1932*u + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1604*j - 35576 + 120107 + 66245 = 0 for j.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - 16. What is the common denominator of 4\/(-1) + 7 - t and -55\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -513 = -11*k + 2*k. Is 30 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 33, 45, 57?\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + s = -4, 5*x + 8*s - 11*s + 30 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g**2. Let l(v) = v**2 + v + v + 5 + 5*v - 2*v. Let h be l(-4). Let r(c) = 2 - 1 - 20*c - h. Determine r(z(b)).\nAnswer: -40*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f**2 - 52*f + 268. Let p be h(7). Solve -p*w - 29*r = -25*r - 2, 0 = 2*r - 6 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 - 21*d**2 - 48*d + 55. Let k be z(23). Let c(b) = -b**3 + 9*b**2 - 2*b + 2. Give c(k).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 25.3 (b) -8 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zt when two letters picked without replacement from tttzttttttttttt?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.9 - 1.9. Let u = -19 - -1. Let r = -18 - u. Which is the closest to r? (a) v (b) -3\/2 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 10:22 PM?\nAnswer: 10:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.01 * 144936.\nAnswer: -1449.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9452189\/1629364 - 6371\/1949. Let q = c + -28\/11. Calculate the common denominator of q and -23\/16.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 - 10*z**2 + 9*z - 86. Let x be n(10). Solve x*o + 2*c = 6, 11 = -5*o + 3*c + 2 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) -2\/3 (b) -4 (c) 0.091 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 AM and 1:28 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (25 + -27 - (-3 + -1)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 269882329 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-117320)\/(-28492))\/(3\/(-51)).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9310237\/36 or -258618?\nAnswer: -258618","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c + 3. Let d be y(3). Let h be 1*(-1 + (d - -4)). Suppose -q - h = -0, 5*r + 4*q = 58. Does 7 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5079, 5081, 5081, 5079, 5075, 5069, 5061?\nAnswer: 5051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {l: 2, p: 2, v: 10}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -98\/181 - -17707\/3620. Calculate the common denominator of q and -91\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1138*u**2 - 431*u - 29295317 with respect to u.\nAnswer: 2276*u - 431","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.812507 months in decades?\nAnswer: 0.215104225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1875283 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2 - 1.2. Let j = -2 - o. Which is the second smallest value? (a) 0.2 (b) 5\/6 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -166*n - 829.\nAnswer: -166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 959?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2299*12.184.\nAnswer: -28011.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 12 = -3*s, i + 3*s - 10 = 2. Let p(l) = l + 3. Let w be p(-5). Which is smaller: i or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -15, -65, 3, -1 in descending order.\nAnswer: 3, -1, -2, -15, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8252*h - 3*u = -8250*h - 11*u - 24, -5*u - 8 = -3*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 7, e: 4, z: 2, c: 1, o: 1}. Give prob of picking 1 c and 2 z.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26*j**2*p**3 - 123416*j**2 - 2*j*p**3 + p**3 - 6*p**2 + 20553 wrt j?\nAnswer: -52*p**3 - 246832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 55073 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3264 + 3268. Solve y*t + 1 + 5 = -5*l, -l - 2 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 2\/3, 7.16, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1203 - 821. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 231756 divided by 6.\nAnswer: 38626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 164 by -74.\nAnswer: -82\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1\/64 of a second?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6.9 + 6.90000154. Round d to seven decimal places.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -6994*i + 7033. Let r(t) = 3499*t - 3518. Let u(z) = 3*n(z) + 7*r(z). Differentiate u(g) wrt g.\nAnswer: 3511","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 - 8*x**2 + 15*x + 9. Let o = -16 - -27. What is the remainder when j(7) is divided by o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.02, 72 in ascending order.\nAnswer: -2, -0.02, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i**2 - 12*i + 12*i - 14)*(2 + 0 + 2) - 7*i**2 - 80*i**2 - 40*i**2.\nAnswer: -111*i**2 - 56","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 485*r + 10681*r - 4 + 2 to n*r + b and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = t + 12. List the prime factors of 8\/(-8) - t\/1 - -81.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1676\/9 + -186. Let y = -6.4 - -31.4. Let g = -29 + y. Which is the nearest to 0.1? (a) g (b) w (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1336 (b) -12\/17 (c) -595\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*v - 17*v + 3 - 22*v - 11*v + 5*v as o + u*v and give u.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 0 + 516*k**2 - 529*k**2 + (4 + 2*k - 4)*(-5*k + 3*k + 3*k) + 3*k**2 + 0*k**2 - 4*k**2 + k + 4*k**2 - 3*k**2 + k**2.\nAnswer: -10*k**2 + k + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 14*q**2 - 61*q - 1079. What is the ten thousands digit of f(-52)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - -3*548\/(-138)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3696, 3757, 3814, 3867, 3916, 3961?\nAnswer: 4002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 434078450.\nAnswer: 2, 5, 13, 37, 18049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171)*4 + 4.\nAnswer: 4 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -803.9 - -804. Which is the third smallest value? (a) 3 (b) 5 (c) 0.12 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 2\/(-2) - (23 + -20).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = 2*k + 3*s, -k = -3*k + 4*s + 4 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116499*c = -116495*c - 110892. What are the prime factors of c?\nAnswer: 3, 9241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of -199*n**4\/4 + 31*n**3 - 282. Find the third derivative of i(h) wrt h.\nAnswer: -1194","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -37, -27, -7, 29, 87?\n\"Answer: c**3 - c**2 + 6*c - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 5*g**4 - 4535*g**3 - 178755*g**2 - 752265*g + 935550 = 0.\nAnswer: -33, -6, 1, 945","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.4 (b) -97.9 (c) 0.4 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 421847831 a multiple of 1067?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-8)*4\/(-12))\/((3145\/306)\/185)\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l. Let o = -6 - -3. Let q = 4 + o. Let f(w) = -5*w. Give q*f(s) + 4*y(s).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17 and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51443932.\nAnswer: 2, 3079, 4177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/463870 and 137\/7885790.\nAnswer: 7885790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*t + 5*t - 3*t)*(-2281*t + 408795 - 817598 + 408803) as x*t**2 + f + c*t and give x.\nAnswer: -11405","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 2*z - 5 - 5, 13 = -3*i + 2*z. Let a be -12*i\/36*4. Let q(k) = k + 6. Let l be q(-6). Solve -a*f - 1 + 16 = -3*s, l = -s + f - 5 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -10*y**3 + 3*y**2 + 24*y - 4. Let o(h) = 2*h**3 - 97*h**2 + 54*h - 295. Let n be o(48). Let i(p) = 3*p**3 - p**2 - 8*p + 1. What is n*i(a) - 2*m(a)?\nAnswer: -a**3 + a**2 + 8*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x + 3. Let b be p(9). Calculate the highest common divisor of b and 189.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s - 4. Let u be r(-6). Let c(g) = 106 - 106 + u*g**2. Let h(y) = 2*y. What is c(h(b))?\nAnswer: 32*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 17, -187, -1, -2 in descending order.\nAnswer: 17, 2, -1, -2, -187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26165 is divided by 290?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-21 - 3)*(-4)\/3. Suppose -y = 4*g + 4*z, -2*g + 5*z + 7 = 2. Let m(a) = -a - 2. What is m(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*s**5 - 144*s**4 - 148*s**3 + 9*s**2 + 9*s = 0.\nAnswer: -3\/4, -1\/4, 0, 1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 156627?\nAnswer: 1253016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15920 and 817120?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -168, -364, -672, -1146, -1840?\nAnswer: -2808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 5*a**2. Let u(g) = 34*g**2 + 6*g - 4. Let l(i) = i**2 + i - 1. Let c(q) = 6*l(q) - u(q). What is m(c(w))?\nAnswer: 3920*w**4 + 560*w**2 + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36817?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -522\/224947?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 1:06 AM?\nAnswer: 1:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.88896 to one decimal place.\nAnswer: 9.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/3 and -76\/303.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - y + 1)*(2*y - y + 0*y) + 3*y**2 + 0*y**2 - 5*y**2 - 2*y**2 + 0*y**2 + 4*y**2)*(-2*y + 3*y - 3*y).\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((-1 + sqrt(8) - sqrt(8)) + 1 + sqrt(8) - sqrt(8))*1 + (sqrt(2) - (sqrt(72) + 2)) + 2 + -2) + -5.\nAnswer: 3 + 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10408514443 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1907 is divided by 70.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2846 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i + c - 69, 0 = -2*i - 3*c + 39 - 1. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 729969538 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l + 5. Let j be u(0). Let w be (2 - j\/2)*-2. What is the first derivative of -p**2 + p + w - p wrt p?\nAnswer: -2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-24)*64\/36. Let b = j - 89\/54. What is the smallest value in -2, 2, b?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -305, -2.\nAnswer: -305, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 4475*x. Let o(j) be the second derivative of j**3\/6 - 7113*j. What is o(l(g))?\nAnswer: 4475*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 11*j + 42 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.4 - -0.2. Let o = -148.9 + 141. Let c = o - -8. Sort a, 3\/2, c in increasing order.\nAnswer: a, c, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k**2 + 4*k - 6. Calculate q(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -0.2, 0.07, -14.9, 5?\nAnswer: -14.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (1 + -2)\/((-15)\/75).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (17 + (2 - 9)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1421\/(-252) + 6 - (-8)\/(9 - 41). Let v be (-4)\/16*8\/(-5). Which is the closest to -2\/9? (a) v (b) -4 (c) -0.02 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-48)\/18)\/(-12 + (-1976)\/(-171)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2\/455, 517, 0, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 386045?\nAnswer: 5, 11, 7019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 488 - 1059. Let p = y + 1130. List the prime factors of p.\nAnswer: 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30987657.\nAnswer: 3, 131, 8761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9541\/45 + -959\/5. Let g = -20 + r. Factor -10\/9*l**2 + 2\/3*l**3 + 2\/9*l + g.\nAnswer: 2*(l - 1)**2*(3*l + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 7:38 PM?\nAnswer: 12:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -8*u. Suppose 186*y = 198*y - 24. Let h(s) be the first derivative of -1\/2*s**y - 7 + 0*s. Calculate h(b(l)).\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = 4*x + 2 + 13 + 29, 0 = -2*n - x - 11 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of 0*l**2 - 3\/4*l**4 + 54 + 0*l - 24*l**3 + l**5. Find the third derivative of f(r) wrt r.\nAnswer: 120*r - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3879991827.3 - 150?\nAnswer: 3879991677.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -k + 5*h, 0 = 3*k - 0*h + 4*h - 36. Suppose 3*i = -2*i + v - k, i + 2*v = -9. Let p be -2 + 1\/(i\/15). Are -8 and p unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6510 and 3360.\nAnswer: 104160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 48*o - 14. What is the remainder when r(7) is divided by 113?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -308, -202, -34, 190, 464, 782, 1138?\nAnswer: 1526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 81*z - 292. Let c(x) = -224*x + 876. Give -3*c(r) - 8*y(r).\nAnswer: 24*r - 292","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5920 and 262840?\nAnswer: 38900320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9829506.\nAnswer: 2, 3, 1638251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 26\/5 of a centimeter?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10173088 - -5178478. Let r = o - -4994632.699612. Let i = r + -22.7. Round i to 5 decimal places.\nAnswer: -0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.146 + 0.186. Let r = -0.05 - 0.35. Put k, r, -2\/9 in descending order.\nAnswer: k, -2\/9, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20719, 20809, 20993, 21295, 21739, 22349, 23149?\nAnswer: 24163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 1215840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 0*s - 7 = 2*s, 3*u - 4*s = 29 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5040769 or -10081539\/2?\nAnswer: -5040769","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(209)*-2*-4)\/sqrt(11))**2 + ((sqrt(171))**2*5 - (1*sqrt(304))**2).\nAnswer: 1772","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 + 8*m**2 + m. Let f be p(-8). Let q(z) be the third derivative of z**5\/60 + z**4\/3 + 2*z**3\/3 - z**2. What is the units digit of q(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 55139 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -367, 7, -4 in decreasing order.\nAnswer: 7, -4, -5, -367","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35 - 89551*z + 89555*z + 122 to h + l*z and give h.\nAnswer: 157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*d**2 - 1 + 3 - 3 + 203002*d.\nAnswer: 4*d**2 + 203002*d - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-382)\/(-8) - (-18)\/(-24)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 - 10*z + 7. Let p be w(7). Let b(j) = -2*j + 5*j**3 - j**3 - 4*j**3 - 14*j**2 - j**3 - 5. What is the tens digit of b(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/3)\/(1 + -2). Let p = 57\/4 - 14. What is the closest to z in p, -2\/7, -2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 1 + 65*w - 76*w to z + t*w and give t.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 367682, -3, 2.\nAnswer: -3, 2, 367682","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 9 + 59 = 0. Let b = 19 + -11. What is the smallest common multiple of b and ((-36)\/(-10))\/((-2)\/o)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t**3 - 40056*t**2 + 80124*t - 40064 = 0. What is t?\nAnswer: -10016, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p = -9*p + 9. Suppose -3*y - 50 = -2*j - 18, 0 = 5*j - p*y - 80. Calculate the greatest common factor of 176 and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of -n**3\/3 + 13*n**2\/2 + 4*n + 2. What is the tens digit of o(12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 12, 0 = 5*k + 5*n - 695 - 375. Let m = k + -105. What is the remainder when m is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 12 (b) -3 (c) 2\/13 (d) 1.7 (e) -0.4 (f) -0.05\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 + 8)\/(-1) - 3\/(-5)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u**2 + 27339*u + 27338 = 0 for u.\nAnswer: -27338, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5153?\nAnswer: 5153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.0094*2\nAnswer: 0.0188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 10. Is w greater than or equal to -3\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 52.048 - 0.048. Let z = -52.2 + b. What is the third smallest value in z, 31, 5?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -13, -10, -240, 2 in descending order.\nAnswer: 2, -4, -10, -13, -240","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17 and 272?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 6822.\nAnswer: -1\/3411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -526, -1263, -2198, -3331, -4662?\n\"Answer: -99*o**2 - 440*o + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 8*u - 5. Let g be w(5). Suppose 4*d + d = 0. Suppose 3*o - 6 + d = 0. Solve -o*n = -0*r + 5*r - g, -r = 3*n - 20 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-5) - 884\/255\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2772267264.\nAnswer: 2, 3, 13, 92557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-6 + 215\/35).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ax when two letters picked without replacement from tfkaaftajjtxkjt?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/27 and (5 - 1) + (-97)\/4?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2534 + -2534.01479. Let z = -0.013 - c. Round z to four dps.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4163, 4515, 4867?\n\"Answer: 352*m + 3811","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 = 5*r + 2 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 229.13 - -4.87. Let z = -234.000000178 + x. What is z rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 137, 574, 1303, 2324?\nAnswer: 3637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-210)\/90*4*(-1)\/(-42)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/9 (b) -4\/43 (c) -3 (d) -1.01 (e) 519\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -29192.98 to the nearest 10.\nAnswer: -29190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -334*j**2 + 1066*j**2 - 6 - 357*j**2 - 136*j**2 in the form g*j**2 + o + f*j and give g.\nAnswer: 239","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 208314 (b) -3 (c) 1\/2 (d) -5 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11*(-26)\/4*434\/(-2821).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 - 4*i - 2. Let f be u(16). Suppose 3*q = -4*n + f, n = 2*n - 4. What is the remainder when q is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 AM and 7:51 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 455 is divided by 92?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (54 + -4 - 25)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((sqrt(57)*-1)\/sqrt(3))**2 + -1)*-1 + (-3 + -2 + 1*sqrt(684)*1)**2.\nAnswer: -60*sqrt(19) + 763","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 3 = -x. Suppose x*v + 5 + 15 = 0. Which is bigger: 2\/15 or v?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 240 is divided by 186?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 15\/15 + -2*2 - -18. Solve -a + w = 4*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 128766*u**4 - 795909*u**3 - 761502*u**2 + 163299*u + 126 = 0.\nAnswer: -1, -3\/3902, 2\/11, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192)\/(sqrt(8)*-1 - sqrt(8)))\/((-1*sqrt(72) + sqrt(72) + sqrt(72))\/sqrt(6)).\nAnswer: -sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -45 + 60. What is the remainder when 73 is divided by z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p - 3*p + 2*p + 5*p + 291*p**3 - p.\nAnswer: 291*p**3 + p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in three fifths of a tonne?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 10 - 4*r - 5 - 5. Let u(i) be the third derivative of 7*i**4\/4 - i**2 - 254*i + 2. What is a(u(s))?\nAnswer: -168*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 + 9*u - 4. Let z be g(9). Calculate the least common multiple of 4\/10 - 114\/(-15) and (-84)\/(-8) + 2\/z.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1645332 minus -4708767?\nAnswer: 4708767.1645332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/14 + 7 + (-141)\/21 + 4196112\/32207.\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3859062.\nAnswer: 2, 3, 107, 6011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*u - 3870 + 3360. What is the highest common factor of 2400 and u?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -3*l**2. Let n(s) = -6*s**2 - 5. Let t(h) = -h**2 - 1. Let r(w) = -n(w) + 5*t(w). What is z(r(f))?\nAnswer: -3*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28 is divided by 25.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -51664*p - 360996. Determine a(-7).\nAnswer: 652","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-seven quarters of a milligram in micrograms?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5022?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 984 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 544158 and 24?\nAnswer: 2176632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2172*j**2 - 1 - 2171*j**2 - 1 + 3*j)*(6 - 2*j - 6) to s*j + g*j**2 + a*j**3 + l and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 468431 rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(1\/44)\/b**42*b**43*b*b\/(((b\/(b**20\/b))\/b)\/b) assuming b is positive.\nAnswer: b**(1013\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 y when two letters picked without replacement from {s: 1, w: 1, a: 1, o: 1, y: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t. Let u be g(3). Suppose -11*w = -269 - 292. Suppose -3*d - w = -5*d - u*c, 2*d = -4*c + 56. Does 13 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g + 2671. Let f be (-1 - 1) + (-7 - -5)\/(-1). Is w(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -3*d + 11. Suppose -h = -5*h - 32. Suppose 0 = -2*y + 4 + 2. Let t(n) = 5*n + 2*n - 7 - y*n - 2*n. Determine h*t(s) - 5*z(s).\nAnswer: -s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 3*p - 312 - 19, -2*k + 2 = 0. Does 28 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2066 is divided by 188.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -100, -185, -324, -517, -764?\nAnswer: -1065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -12*s**2 - 799*s + 87. Determine b(-66).\nAnswer: 549","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 80 - -80) + (1 + 9 - 0)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4439915 to 2 dps.\nAnswer: -0.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171)*-1 + (4 + sqrt(171))**2 + -4*sqrt(76)\/sqrt(64) - (1 + (-1*sqrt(152) - sqrt(152) - sqrt(152))\/sqrt(8) - (5 + (1*sqrt(38))\/sqrt(2)))**2.\nAnswer: -133 - 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16514196 and 3.\nAnswer: 16514196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40255207*d**3 + 20127599*d**3 + 20127602*d**3.\nAnswer: -6*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**3\/2 - 14718*u**2 + 147159*u\/2 - 58862 = 0. What is u?\nAnswer: 1, 4, 29431","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 u when two letters picked without replacement from {x: 1, e: 3, h: 7, u: 4, s: 1, o: 4}?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + 0 - (0 + 0). Let c be (l + 1)\/(3\/6). Let b = -4 - c. Are b and -6\/11 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 521 and 123?\nAnswer: 64083","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 841140640?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -48 - (82 + -168)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-8)\/(-4))\/(-14))\/((-312)\/7098)?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 33 = 4*q + x, -q + 4*x = -18. Suppose 0 = f + c - 27, 4*f + 3*c = 5*c + 78. Let d = q - f. Let o(t) = -t. Calculate o(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004322 rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 0*l = -5*c + 139, 4*c = 5*l - 753. Let n = l + -140. Solve -s = u + n, s + 0 = 3*u + 11 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1573) + 0 + (4*sqrt(52))**2 - (-1*-1*sqrt(130))\/sqrt(10).\nAnswer: 10*sqrt(13) + 832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 + -4*(-159)\/12. Suppose -5*y = 5*i - x, 0 = 4*i - 4*y - 0*y. Suppose -w = i*g - 10, 5*w + 3*g = -6 + 78. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 70584533 and 537.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 6552, 11052, 15614, 20268, 25044?\n\"Answer: 5*h**3 + h**2 + 4462*h + 2084","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiyyiiyiiiiiiiyyiy. What is prob of picking 3 y?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7\/3 + 2 - (-28)\/42. What is the closest to -1\/12 in -2\/3, o, 6?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + 323?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-1 - (-14 + 10))*82 and 54?\nAnswer: 2214","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/720 and -79\/364?\nAnswer: 65520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 4, -0.2, -71.8?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a*a**(-9\/5)*a*a**1)**(2\/3) assuming a is positive.\nAnswer: a**(32\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 84784.29 millennia in years?\nAnswer: 84784290","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 5:06 PM?\nAnswer: 4:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of -5*h**4\/24 + 251*h**3\/6 + 47*h**2. List the prime factors of o(-15).\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -142 - -147. Solve 6*g = y*g - 5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5872)\/(-38535) + 4\/(-42)\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -15135684 divided by 7746\nAnswer: -1954","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 + 56 = -18*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/365696 and 71\/3488?\nAnswer: 39860864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -1575*f. Let o(n) = -6*n - 17. What is o(g(c))?\nAnswer: 9450*c - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 288 - 281. Calculate the smallest common multiple of 9 and k.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4908\/396 - 12) + 3\/(-9). Let l = 1 + -3. Let m = l + 2. Which is smaller: x or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from dggdddgggd?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 9) to base 8\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 7) in base 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-33)\/(-3) - (4 + -3). Suppose 0 = -w*p - 111 + 41. Find the common denominator of (p\/28)\/((-6)\/424) and 95\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 2478.\nAnswer: -2\/1239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/12*(-24)\/16 - (-138)\/(-8).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 995091 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -68, -1, 1.801, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 69 + -205\/3. Let f be 1\/3 - (-2)\/(-10). Do f and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -123, 225 in increasing order.\nAnswer: -123, 2, 225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)*3 + 4)**2 + 0.\nAnswer: 144*sqrt(3) + 988","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 37905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13076 (base 11) to base 7.\nAnswer: 105366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 5 - 2 = 0. What is the common denominator of 51\/122 and 1668\/(-9)*(w - 365\/(-120))?\nAnswer: 1098","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 + 3*n - 200. Let p(z) = 2*z**2 + 6*z - 426. What is 5*c(h) - 3*p(h)?\nAnswer: -h**2 - 3*h + 278","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -27b573 + -2?\nAnswer: -27b575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 - 4*n - 5. What are the prime factors of l(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 4*m - 454 = -12754, 0 = g + 2*m - 3060. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2233908?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 4\/7*a**2 + 2\/7 + 0*a**3 + 2\/7*a**4 = 0. What is a?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187851 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -69*v**2 - 3*v + 2177?\nAnswer: -138*v - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 8\/21 of a week?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 - 14. What is the highest common divisor of b and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1400976197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 69821153 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in 93.9, 31, -5, -1\/5, 1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -83*a**2*x**2 - 5*a**2*x + a*x**2 - 10*a*x - 945*x**2 - 906*x wrt x.\nAnswer: -166*a**2 + 2*a - 1890","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.03408 + 3.03408. Which is the third biggest value? (a) -2 (b) -0.5 (c) 2\/3 (d) -2\/3 (e) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1448.9 - 0.4\nAnswer: 1448.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 99 + -98.8. What is the second smallest value in -2\/3, 0.3, 0.5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cel when three letters picked without replacement from {j: 1, e: 1, l: 1, c: 2, g: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -340*v**2 + 119*v. Let c = 679 + -685. Let x(f) = 17*f**2 - 6*f. Determine c*u(h) - 119*x(h).\nAnswer: 17*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1.2107 times -3728\nAnswer: 4513.4896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of d**4\/4 - d**3 + 5*d**2\/2 - 10*d - 67. Let h be r(3). Solve 0 = h*j - 10*j + 20 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -3*o - 2. Let s(w) = 54 + 7*w**2 - 55 + 4*w**2. Determine s(o).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of c**5\/60 + c**4\/4 - c**3\/3 - 2*c**2. Let u be d(-7). Let i(n) = n - 1. Let y be i(4). Solve -u*s = -y - 7 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*91\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, g: 2, q: 6, v: 3}. What is prob of sequence wvgq?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 2*l = -4. What is the closest to l in 4, -5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 46 = 2*l, 4*a + a - 80 = -5*l. Is (-2147)\/(-7) - (-4)\/a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -2*o + 2*v + 2, -5*o + 5*v + 15 = 0. Let d(t) = -3*t**2 - 2*t - 1. Let f be d(o). What are the prime factors of 1230\/54 + f\/(-9)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-1)*u)\/u)**(-34)*(u\/u**(-2\/13))\/u**(-1\/3))**(-45) assuming u is positive.\nAnswer: u**(-20760\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1682, 1695, 1708, 1721?\n\"Answer: 13*g + 1669","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*v - 39*v + 5*v + 8*v - 3*v + 9*v + 25*v.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 5415?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**0\/z)*z*z*z**(-1\/3))\/((z*z*z**13)\/(z**11*z)) assuming z is positive.\nAnswer: z**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 17 - 59*c + 14*c + 19*c + 11*c + 14*c.\nAnswer: -c + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.02 (b) 0.4 (c) -2\/3 (d) 4\/11 (e) 28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - (0 + 1) - 119. Let m = j - -300. Suppose 2*b = m + 223. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a**3 + 16*a**2 + 5*a + 5. What is the remainder when t(7) is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -257 = -231*j - 257 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.5, 111, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-1\/2))**23*(p**(1\/4))**(-17\/4) assuming p is positive.\nAnswer: p**(535\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 980 and 22?\nAnswer: 10780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -143*z = -149*z + 36. Sort -5, 4, z in ascending order.\nAnswer: -5, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 358?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l**4 - 2*l**2 + 5*l**2 - 8*l**3 - 19*l - 16*l - 13*l + 49*l as m*l**2 + p*l**3 + s*l + o + f*l**4 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1457.75101 + 1459.56. Let k = -0.2 + 2.01. Let f = c - k. Round f to 4 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 222 (b) 5 (c) -326 (d) -0.5 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 399358 to the power of 1\/2, to the nearest integer?\nAnswer: 632","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*r = -34*r + z - 1, z = -4*r + 6 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhjjt. What is prob of sequence hj?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.5, 22, -0.5 in decreasing order.\nAnswer: 22, 1, 0.5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 621, 609, 597?\n\"Answer: -12*y + 633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -8. Suppose -c - 2 - 1 = 0, w = -d + 2*c + 13. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3 (b) 14 (c) 28\/5 (d) 0 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3357200, -3356978, -3356742, -3356486, -3356204, -3355890?\nAnswer: -3355538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 120? (a) 2801 (b) -5 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 16*o = 9*o. Find the common denominator of (-19)\/((-684)\/408)*(o + 1) and 117\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 947471105 to the nearest integer?\nAnswer: 30781","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/8 - 241\/(-324). Is s greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4\/9, 1\/3, -16.33, 1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -4*z**2 + 2*z - 2. Let r(s) = 7*s**2 - 3*s + 5. Let l(p) = -3*r(p) - 5*t(p). Let x be 3*1 - 1\/((-3)\/(-312)). Let j = x + 101. Give l(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.60981 rounded to one decimal place?\nAnswer: 38.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**15*(n**(-5\/3)\/n*n)\/n*((((n**(2\/11)\/n)\/n)\/n)\/n)\/n**11)**(2\/53) assuming n is positive.\nAnswer: n**(-164\/1749)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15148 = -5*u - 9*o - 14975, -u + 106*o = 105*o + 13 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 168148?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o - 2. Let s be j(1). Let v be (-4 - 2)*((-3)\/2 - -1). Sort s, v, -3 in descending order.\nAnswer: v, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 - 11*r**2 + 22*r - 19. Let h be y(8). Let v = -33 - h. Find the second derivative of -7*o**2 + 118*o - 127*o + 12*o**4 + 7*o**v wrt o.\nAnswer: 144*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 - 12*m**2 + 2*m - 18. Let n be s(12). Let k = -3 + n. What is the units digit of ((-1)\/k)\/(2\/(-18))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.037 * -4.4\nAnswer: 0.1628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 + 33 = r. 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: Simplify (1 + (sqrt(99)*2 + 1 + sqrt(99) - sqrt(99)) + -2 + (sqrt(704)*-2 - sqrt(704)) + 1)**2.\nAnswer: -36*sqrt(11) + 3565","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.146 + -0.836. Let j = 87.31 - q. Let v = j + -88. Which is the nearest to 3\/5? (a) v (b) -3\/4 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in six fifths of a micrometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4470 and 3576.\nAnswer: 17880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (264\/(-9) - -2)\/((-20)\/1320) a multiple of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (10\/(-160))\/((-1)\/4). Which is the nearest to q? (a) 0.11 (b) 0 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - -8 - 8) + 59 + 139 + -137.\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16637183?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - (-179 + 3 + 0). Suppose 0 = -w - v, w - 2*v = -1 + 16. Suppose w*i = 282 + o. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3242725.\nAnswer: 5, 151, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t + 5. Let z be (-8)\/28 + 304\/(-14). Let g = 32 + z. Let o be k(g). What is the greatest common divisor of o and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -37 + 44 + 3*94\/(-39). Suppose 2*b = -2*g - 2, -6*g + 2 = -2*b - 2*g. Is v at most as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(405) - sqrt(405)*-2) + sqrt(405) + (sqrt(35)\/(sqrt(7) + sqrt(14)\/sqrt(2) + sqrt(7)) - sqrt(5))**2)*-6.\nAnswer: -216*sqrt(5) - 31\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -34 - -20 - (-11 + 2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 - 7*f + 9. Suppose o - 20 = 2*u - 0, -2*o - 16 = 3*u. What is g(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 51 and 45.\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 PM and 10:30 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do 87935 and 87934 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(121)\/(sqrt(22)\/sqrt(2) + sqrt(11)) - sqrt(11)) + (sqrt(99) + sqrt(99) + 0)**2 - (5 + -4 + -2*sqrt(176)).\nAnswer: 15*sqrt(11)\/2 + 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 2 + 4 - 14*o)*(4*o**2 + 3*o**2 - 6*o**2) to the form b*o**2 + y*o + k*o**3 + g and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 1\/3, -1\/2, -1\/8, -24\/5?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 65176 and 391056?\nAnswer: 391056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 379 = 107. Suppose 3*s - 96 = c. Let w = -17 + s. List the prime factors of w.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 1:40 PM?\nAnswer: 9:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -228*c - 264*c + 287*c**3 + 492*c.\nAnswer: 287*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/3 (b) -0.035 (c) -3 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1152075 to the nearest integer?\nAnswer: 1073","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 286 and 78.\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5151526?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39771*o**3 - 19887*o**3 - 19886*o**3.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000086 rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136*d = 131*d + 545. Suppose 3*u + 18*m = 17*m + d, -4*u + 136 = -m. What is the smallest common multiple of 50 and u?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/((-2)\/(4 + -2)). Suppose -o - j = d, 0 = -o + d + 3 - 17. Is (o\/(-30))\/((-1)\/(-1563)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of s**4\/6 + s**2. Let a(b) = 5*b**2. Let n be a(1). Let q(x) = -4*x**2 + 0*x**2 + n*x**2. Give q(c(g)).\nAnswer: 16*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 172280\/7 + -24611. What is the third biggest value in 1, 1\/2, 4, t?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -293 - -293. Let l = -4 + 1. Let v = l - t. Which is the second smallest value? (a) -6 (b) v (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*o**3 - 4*o**3 - 5*o**4 - 2*o**2 + 33*o**2 - 2*o - 10*o**2 - 14*o**2 in the form g*o**2 + x*o**4 + a*o**3 + n*o + r and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((6 - -2) + -8 - 4) + 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/7 (b) -4 (c) -33 (d) -0.7 (e) -1\/7 (f) 4\/3 (g) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2095344.171 take away -141726?\nAnswer: 2237070.171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15\/17056 and -49\/1763?\nAnswer: 733408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10.6264 + 2.5429. Let j = l + 8.1. Round j to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-902)\/(-231) - 6\/(-63). Factor -7*f**4 + 12*f**3 + 10*f**4 - f**n - 3*f**2 + 19*f**2.\nAnswer: 2*f**2*(f + 2)*(f + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 3 + 129 = 0. Let v be ((-148)\/b - 4) + (-1)\/(-7). What is the nearest to v in -7\/6, 2, 1?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 + 8. Let b = 3 + -3. Let u = x - b. Which is smaller: u or 1\/2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 407589163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + -7. Suppose 2*x = -10, -c + m*x + 5*x + 25 = 0. What is d in -1\/2*d + 1\/2*d**2 + c = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/3, -0.3, -0.4, -5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 PM and 2:37 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1434, 3327, 5208, 7071, 8910, 10719, 12492, 14223?\nAnswer: 15906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*z - 16*z + 26*z.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -5*c + 159, 2*c - 5*j - 81 = -0*j. Suppose -2*g - 3 = -n, -3*n = n + 4*g - 60. What is the highest common factor of c and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -220002202012 + 12?\nAnswer: -220002202000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-2)*47*(-3306)\/(-4089)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6*(-2)\/(-18)*6. Let l = 54 - i. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 242576.7 to the nearest one thousand.\nAnswer: 243000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 91 = 16*l. Solve -9 = -4*p + l*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 5) to base 10.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*j**5 - 9281243*j**4 - 321878555*j wrt j.\nAnswer: 140*j**3 - 111374916*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 11. Let c = -8 - b. Let h = c - -9. What is the remainder when h is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 5*h + 5*v - 0*v, -3*h + 2*v = 2. Let d = -5 - -7. Let p(x) = h - d*x - 1 + 0. What is p(1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11311*p = 12836*p - 13725 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + -2. Suppose -t*z = 2*d - 0*z, -4*z - 3 = 3*d. Suppose -3*u + 2*u = -d. Solve u*w = 4*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.42 and -227.1?\nAnswer: -95.382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 17*r**3 + 8*r**2 - 13*r + 8. Let m(v) = -11*v**3 - 5*v**2 + 9*v - 5. Let a = -17338 + 17346. What is a*m(y) + 5*f(y)?\nAnswer: -3*y**3 + 7*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 + 5*g**2 + g + 7. Let a be w(-5). What is the third derivative of 3*h**2 - 2*h**2 - h**5 + h**a wrt h?\nAnswer: -60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 1 - 3)*(-4*v + 6*v + 2*v) - 2*v + v - v)*(v - 53*v + 2*v).\nAnswer: 500*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -22*c. Let v(y) = 28*y. Give x(v(h)).\nAnswer: -616*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/129 in 4, -1\/2, 3, 80\/7, 2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5958 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 82*h - 9168342 = 9370792. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 AM and 6:31 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -173*l**2 + 27*l - 57*l**2 + 188*l + 1203*l**3 - 599*l**3 - 599*l**3 + 450.\nAnswer: 5*(l - 45)*(l - 2)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 - 14*c**2 + 82*c - 29. What is a(-19)?\nAnswer: 218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (8\/14)\/((-24)\/(-28)). Let n = -0.075 - -5.075. Sort -0.1, p, n.\nAnswer: -0.1, p, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v and 1 m when four letters picked without replacement from {m: 1, v: 17}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of 1\/6*r**4 + 1\/4*r**2 - 12*r + 0 - 1\/3*r**3. Factor o(z).\nAnswer: (2*z - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -7) + 1 - 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 577?\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-597198)\/(-11760) + -52 + 5\/4)*35\/(-30).\nAnswer: -3\/80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143 is divided by 66?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) 4 (c) -1.11 (d) -32 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.052352 and 635.\nAnswer: 33.24352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, -11, 3, 4\/7, -4?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (((2*sqrt(42) - sqrt(42))\/sqrt(6) + sqrt(7) + sqrt(21)\/sqrt(3)*3 + sqrt(7))*-1)**2 + 4.\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 2*u - 5 = -4, -35 = 4*v - 5*u. Let t = v - -10. Suppose 0*q = -q + 2*z + 11, t*q - 5*z - 35 = 0. Is 3 <= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 0*l - 2*y - 30 = 0, -4*l + 2*y - 6 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 286812817 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 2)*(f - f + f) - 4 + 4 + f - 1.\nAnswer: 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16193\/4758 - -93\/122. Let u = -30\/13 - m. Which is the nearest to u? (a) 0 (b) 3 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -3*w + 16. Suppose -2*u + 13 = -s, u + 2*u = s + w. Sort 2, s, 13 in descending order.\nAnswer: 13, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19659 is divided by 2498?\nAnswer: 2173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 2*k**4\/3 - 145456*k**3\/3 + 290906*k**2\/3 - 48484*k = 0.\nAnswer: 0, 1, 72726","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 6 = -q. Let c(b) = b**3 + 11*b**2 - 2*b + 1. List the prime factors of c(q).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqkqqqkqqqqqqk. What is prob of picking 1 k and 3 q?\nAnswer: 33\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, 221446, -95 in descending order.\nAnswer: 221446, 5, -1, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0028843 to 4 decimal places.\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 130003331 + -11213?\nAnswer: 123332112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1267\/310 + -15154403\/6510. Let d = i + 2333. Let a = -12\/7 + d. Is a greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3161, 6309, 9457, 12605, 15753, 18901?\nAnswer: 22049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 63373?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 8*v**2 + 4*v - 1. Let m(y) = y**2 - 6*y - 10. Let a be m(7). Let f(i) = 40*i**2 + 20*i - 4. Let u(j) = a*f(j) + 16*x(j). Find n, given that u(n) = 0.\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 111 = 2*p - 96. What is the third smallest value in -11, -26, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.0413, -1\/8, 2\/359, -2?\nAnswer: 2\/359","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of 6 + 1\/8*y**4 + 3\/4*y**2 + 2\/3*y**3 + 0*y. Solve p(a) = 0 for a.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - y = 90. Let s be (-38)\/(-2 + y\/(-8)). Let o = -52 - s. What is o rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 10*y + 5. What is the tens digit of m(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m + 3. Let w(k) = k - 2. Suppose -9*u + 10*u = 6. Let a(c) = u*o(c) + 7*w(c). Is a(8) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3725 is divided by 3428.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16178694 to the nearest integer?\nAnswer: 4022","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.232 * -663.\nAnswer: 153.816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -4*h + 6, 4*b = 6 + 2. Suppose -2*n - 2*t = -4094 + 496, -h*t + 7188 = 4*n. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (50*6\/140)\/((-24)\/84)?\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 17317569 to the power of 1\/5, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 + -1.6191\nAnswer: -1.7191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a milligram in micrograms?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14363 - 14388. Sort 0, d, -50 in decreasing order.\nAnswer: 0, d, -50","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.37 + 6463.254569\nAnswer: 6463.624569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -3*s. Let m(z) be the first derivative of -115*z**3\/3 - 609. Give m(n(v)).\nAnswer: -1035*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 14*q**2 - 98*q + 1. Let a be m(8). Is a not equal to 114?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 3*t + 13 - 2*t + 0*t. Let r be g(9). What are the prime factors of (-3)\/((-5 + 3)\/r)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 286 + -421. Let v = a - -134.766. Let k = v + 2.244. Round k to 1 decimal place.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*r + n + 43, -3*r - 2*n + 137 = 102 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 520*g - 41. Suppose 4*j - 19 = -5*u, 4 - 3 = -2*j + u. Is 22 a factor of n(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15408990?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 5*y = -15, -2*y + 15 = 5*j + 3*y. Let v = 231.77 - 232.17. Which is the nearest to j? (a) 6\/11 (b) v (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -403*c**2 + 3*c + 12. Let r be a(6). Let h = r + 24590. Let x = 21312 - h. Round x to the nearest one thousand.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -250*r**2 + 0*r - 266*r**2 + 0*r + 537*r**2. Let b(o) = 3*o. What is b(p(z))?\nAnswer: 63*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 - 66*i**2 - 1085*i - 93. Give l(-32).\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 825.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3614 by 1807.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/3*-2*(-3)\/4. Sort z, 0.4, 0.7, 2\/15 in increasing order.\nAnswer: 2\/15, 0.4, 0.7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of -i**2 + 5*i + 7. Let d(u) = -2*u + 4. Calculate 6*d(l) - 5*s(l).\nAnswer: -2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 64 + -62. Suppose w*h + 2*h = -112. Round h to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2014083571 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + 100222?\nAnswer: 101002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*v + 5*c - 257 = -177, 22 = -2*v + 4*c for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 147 a factor of 37960?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -375962 rounded to the nearest one thousand?\nAnswer: -376000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17212 + -11168. Is k a multiple of 194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10850 and 100.\nAnswer: 21700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 1434*d - 12. Let a be x(9). Suppose 2*t - a = 4*t. Let s = t + 64533\/10. Calculate the common denominator of -29\/4 and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 - 5*g**2 - g + 2. Let p(k) = k**3 - 12*k**2 + 10*k + 16. Let t be p(11). What is j(t)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 517 is divided by 28.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -12130013223 (base 4) in base 16?\nAnswer: -19c1eb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(36\/6)*2\/(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.1184 centuries in months?\nAnswer: 42142.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*v - 5149 = -11287 for v.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.4 - 1.5. Let n = f + -1. Let s = -0.10002 - n. Round s to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21531170303 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 44492?\nAnswer: 177968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 15*y - 2. Does 8 divide o(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -971 + 26*b + 3472 - 1525 - 976.\nAnswer: 26*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1846*x**3 - 815 + 1648*x**3 - 1694 - 7*x**3 + 330 wrt x.\nAnswer: 10461*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o + 7*o - 160 + 186)*((0*o + o + 0*o)*(o**2 + 2*o**2 + 0*o**2) + 2*o**3 + 2*o**3 - 5*o**3).\nAnswer: 6*o**4 + 52*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of -19*z**3\/6 - 34*z. Let u(x) be the second derivative of -x**3\/3 - 7*x. Give w(u(b)).\nAnswer: 38*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/4 - (-1)\/2. Suppose 4*g + 26 = -4*n - 6, -g - 4 = i. Is 10 a factor of 59 - (8\/n + 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of -483*y**4\/4 - 9*y**2\/2 - 85*y - 2091. Find the second derivative of w(g) wrt g.\nAnswer: -2898*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 173038, 346055, 519072, 692089, 865106, 1038123?\nAnswer: 1211140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 31, 13, -5, -23?\n\"Answer: -18*v + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 238669, 238667, 238665, 238663, 238661, 238659?\n\"Answer: -2*o + 238671","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = 6*w - 9*w - 12*o + 9*o + 73, -2*o = -7*w - 63 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*l + 8 = 48 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 3*j = -12, -6 = -2*s + 3*j + j. Let c(h) = 4*h - 3. Let l be c(s). Suppose l*f - 5*f - 8 = 0. Solve f*x = -3*x + 25 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 7*h**2 - 9*h + 11. Let y(c) = -c**2 - 1. Let b = -21 - -15. Let l(x) = b*y(x) - m(x). Is 13 a factor of l(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1 (b) 3 (c) -2 (d) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 PM and 7:39 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/8)\/b**(1\/5))**(-7\/9)*(((b\/b**(1\/4))\/b)**(1\/20))**(-28) assuming b is positive.\nAnswer: b**(217\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -14122111 times 0.4?\nAnswer: -5648844.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -121, -483, -1321, -2875, -5385, -9091, -14233, -21051?\n\"Answer: -40*s**3 + 2*s**2 - 88*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 - m + 11. Let f(d) = 251*d - 3015. Let n be f(12). Let r(c) = -c**3 + c - 11. What is n*w(y) - 2*r(y)?\nAnswer: -y**3 + y - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 8) to base 12.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 - 10. Suppose f - 3*f - 2 = 0. Let j = l + f. Solve 7*g - j*g + 12 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 181, 362, 543, 724, 905?\n\"Answer: 181*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 776 + -750. Let d be (-180)\/(-8) + (-3)\/(-2). What is the third derivative of h*m**2 - d*m**6 - 19 + 19 wrt m?\nAnswer: -2880*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 368 and 1628837.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -5*g + 12. Let q(k) = 4*k - 13. Let j(v) = -3*b(v) - 4*q(v). Let a = -6 - -21. Let d be j(a). Solve -d = t - 2*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -61293.844 rounded to the nearest 100?\nAnswer: -61300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -659884 divided by -164971\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1453685 divided by -1\nAnswer: -1453685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 + 16. Let y be (-4)\/z - 456\/(-10). Suppose -2*p = 2*v + 2*p - 24, 5*v = -3*p + y. What is the greatest common divisor of v and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 939 divide 745500686?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6.133 - -5.86. Let j = t - 0.727. Which is the biggest value? (a) -1\/7 (b) j (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11158 is divided by 120.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 137 in -1, -3, -33\/115, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 38, 75, 112, 149, 186, 223?\n\"Answer: 37*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1189904, -1189814, -1189726, -1189640, -1189556, -1189474?\n\"Answer: -n**2 + 93*n - 1189996","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9 and 623.\nAnswer: -5607","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -36 + 36. Suppose w = 3*d, 2*z - 5*d = -z. Solve z*o - o = 5 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 PM and 2:35 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g. Let i be k(-8). Suppose -116 = -i*o + 132. What is the remainder when o is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.1 - 0.9. What is the biggest value in -6, -3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n - 2*n + 3*n)*(2 - 2 - n)*(-13*n + 13*n + 14*n**2) + 2*n**2 + 2*n**4 - 2*n**2.\nAnswer: 44*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 13 = -4*z + 3*z, 5*b + 72 = 3*z. Suppose -3*c + 1594 = -w, 0 = 18*c - z*c + 3*w + 542. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 415*c**2 + 666*c**2 + 366*c**2 + 240*c**2.\nAnswer: 1687*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 0*y**2 + 11 + 3*y - 23*y + y**2. Let x be k(20). Suppose 2*c + x = 3*p, 5*p - c - 7 = 16. Solve -3*m + 8 = -2*j, 0 = -p*m - 2*j + 4*j + 16 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9522 and -0.013.\nAnswer: 123.786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 5 + 0*l + 5*l - 2*l + l. Let b be t(0). Determine x so that 3*x - 15 + 9*x + b - 24*x**2 + 22*x**2 = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 33*x**3 - 18*x**2 + 4*x. Let q(r) = r**3 - 2*r**2 + r. Give 4*q(o) - u(o).\nAnswer: -29*o**3 + 10*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 9, d: 4, y: 4}. Give prob of picking 3 y.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jbjxmkw. What is prob of picking 1 b, 1 m, and 1 k?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of s**6\/120 - 11*s**5\/60 + 5*s**4\/12 + 2*s**3\/3 - 2*s**2 - 1. Let f be v(10). Solve -f*b - 24 = -4 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253095.4 rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f - 6. Let p be x(9). Suppose 2*z + p*w = -27 + 8, -21 = -2*z + 5*w. Let m = z + 1. Which is greater: 2\/7 or m?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 202 - 137 + 41*a - 5*a - 63.\nAnswer: 36*a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47 + 51 = m - j, -2*m = -4*j - 12 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + b**3 + 15 - 5.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (34 - 67) + 43 - (2 - 3 - 9).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2454 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (2 - (-2 - -6))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -b3140 (base 14) in base 3?\nAnswer: -210220022012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2952 - 2952.03. Which is the closest to m? (a) 5 (b) -0.3 (c) 6 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 62, 0.09, -1\/16 in increasing order.\nAnswer: -1\/16, 0.09, 2\/7, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8760\/2628*(-12)\/10?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10 or -0.58?\nAnswer: -0.58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-157)\/(-26) - 284\/7384. Solve 12 = 9*z - s*z + j, -3 = -j for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of -c**6\/120 - c**3\/6 + c**2. Let x be z(-1). Let d(g) = g**2 - 5*g - 1. Let p be d(6). Sort -5, x, p in descending order.\nAnswer: p, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*b + 200 = 83. Calculate the remainder when 260 is divided by b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -25*n - 56. Let v be t(-2). Let l(h) = -2*h - 2. Let w(a) = 6*a + 7. Let s(g) = -17*l(g) - 6*w(g). What is s(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - (-2 + 2 + -10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.7085 minus 1340?\nAnswer: -1313.2915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 14\/(((-5550)\/(-36))\/25 + -6). Let h = 23 - -5. Calculate the highest common divisor of h and b.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/10*-1*-2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of -8*f**7\/21 + 2*f**4\/3 + f. What is the third derivative of m(p) wrt p?\nAnswer: -960*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 7842 - 7842 + 5*t**2. Let w(l) = -7*l. What is v(w(o))?\nAnswer: 245*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oooooohhhhhhh. What is prob of sequence hh?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/6, 112\/5, 1, 0.4, -270?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 - 9*x + 12. Let k be y(8). Suppose 0 = 4*c - 12 - 4. Solve k = c*g + 16 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3 and 516?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 111.65 - 111.64999942063. Round k to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110*k + 1410 = 116*k. Suppose -232*p = -k*p + 684. Is 38 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**2\/7 + 831476*h\/7 + 29938320\/7.\nAnswer: -4*(h - 207905)*(h + 36)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p - 1 = 3*d - 0*d, 3*d - 7 = -p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -338 - 44 = 2*g. Suppose 2*w = 5*z - 1961, 2*z - 2*w + 1949 = 7*z. Let s = g + z. Does 40 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -5*u + 42, -3*s + u - 4*u + 45 = 0. Suppose -3*j = 2*o - s, -5*o - 53 = -j - 3*j. Calculate the remainder when 48 is divided by j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 8532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.711282 plus 219?\nAnswer: 194.288718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2752946.\nAnswer: 2, 7, 17, 43, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-52*g**3 - 43*g**3 + 19*g**3)*(0 - 1 - 3*g + 4*g) to h*g**4 + c + x*g**3 + v*g**2 + n*g and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -214*o**3 - 94*o**3 - 151 + 151.\nAnswer: -308*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 136121239 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 602\/9635 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**4 - 38*j**3 + 120*j**2.\nAnswer: 2*j**2*(j - 15)*(j - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.5, -100, -3, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 + 9*u**2 + 11*u + 5. Give q(10).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -616656, -1233310, -1849964, -2466618, -3083272?\nAnswer: -3699926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 153631 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 5}. Give prob of picking 3 v.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 + 58 = 8*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 - -20 - 3 - -26 - (-49 + -3)?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {q: 7, w: 3, u: 9}.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 2*x - 10 = 4*g, -4*g = 3*x + 70. Let s be x\/(-14)*(5 + (-133)\/35). Factor 0 + 2\/7*v**5 + s*v - 4\/7*v**3 + 24\/7*v**2 - 8\/7*v**4.\nAnswer: 2*v*(v - 3)**2*(v + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + d**2 + 24*d**3 - 25*d**3 + 5*d**3 + 7*d**4 - 2*d - 4*d**4 to c*d**4 + o + x*d**3 + v*d + i*d**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, h: 7, c: 1, o: 5, v: 2}. Give prob of picking 1 o and 1 c.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19411?\nAnswer: 7, 47, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = 4*c + 27. Let b = -3 + -9. Let j = b - c. Solve -4*p = -3*p - j for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 1 - 3)*(-1 - 1 + 0)*(65*n - 138*n + 5 + 72*n + 9*n**2).\nAnswer: -54*n**2 + 6*n - 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107 = -5*i - 122. Let p(w) = -w**3 - 2*w**2 + 2*w - 1. What is p(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -3895*r**2 + 3899*r. Calculate w(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a + 10. Suppose 30 = -2*k - k. Let t be l(k). Solve -2*g + 2 = 0, -3*g + t*g + 2 = -c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kd when two letters picked without replacement from bdkkdkdddbddkd.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - a = -90957, -2*c + 0*c - 5*a + 36369 = 0. Suppose 0 = -4*w + 3*w - i - 18202, 0 = w - 4*i + c. What is w rounded to the nearest one thousand?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34 - 40 + 74 + 10*t**3.\nAnswer: 10*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 2985 to the nearest one hundred.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30 - (43 - 71) - (-1 + -50).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of m**5\/60 + 2*m**4\/9 + 17*m**3\/18 + 5*m**2\/3 - 253*m. Let r(k) = 0. What is k?\nAnswer: -5, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/8 and 59\/9586.\nAnswer: 38344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 3*p + 106*q - 84*q - 44, -3*p - 18 = -2*q for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2014 greater than or equal to 2010?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, 1.04, 75?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b738d1c7 + -1?\nAnswer: b738d1c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42, -270, -1198, -3048, -6126, -10738, -17190, -25788?\nAnswer: -36838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/5 + (-17)\/(-5). Suppose 3*a + 4 = -2. Let o = k + a. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*l - 907 = 25*l + 365 for l.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -833 divided by -119\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 - 3. Let s be -1*1 - 1884\/h. Suppose 2*m = q + 5*m - 39, -s = -4*q - 4*m. What are the prime factors of q?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3393 and 117.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/1032 and -47\/4515.\nAnswer: 36120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 z when two letters picked without replacement from {k: 1, p: 1, b: 6, z: 1, f: 6}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1458303 times -4?\nAnswer: 5833212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153)\/(sqrt(450)\/sqrt(2)) - (-5*(sqrt(17) + -1 - sqrt(17)) + -3*sqrt(68)\/sqrt(4)).\nAnswer: -5 + 16*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*b*l + 16*b - 6320*l with respect to b.\nAnswer: -7*l + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -18\/2809 and 45\/23.\nAnswer: 64607","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-23)\/483)\/(-1 + (-8)\/(-9))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 178 - 164.4. Let s = a - 13.43. What is the smallest value in s, 1\/10, 0.2?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8312 - 3468 = -31*i. What are the prime factors of i?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-44 - 2414\/204) + (-3)\/(36\/2).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2220321 (base 4) in base 7?\nAnswer: -43341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.8, 4\/3, 9, 0.2, 4\/7 in decreasing order.\nAnswer: 9, 4\/3, 0.8, 4\/7, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(2\/2 + -2). Solve 0 = 4*i + 5*g + 36, g + g = a*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -35*v**3 + v. Let u = 4 + 20. Let o be 6\/4 - 60\/u. What is the remainder when 99 is divided by a(o)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-20296)\/16)\/((-79)\/158) is divided by 135.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -55*y**2 - 292*y - 198. What is n(-8)?\nAnswer: -1382","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -89.8 + 67. What is l rounded to the nearest integer?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 - 10. Let k = -2 - -16. Let m = 3 - 1. Solve s = -m*b - 1, k = -4*b - 0*s + t*s for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -4029*x + 187. Let c(v) = 130*v - 6. What is -187*c(a) - 6*j(a)?\nAnswer: -136*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 14332481 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -9*v - 12. Let b(u) = 8*u + 11. Calculate -5*b(g) - 4*t(g).\nAnswer: -4*g - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42\/(-38))\/(-1) + 41 + 781\/(-19).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 357 = j, -31*j = -36*j + 15. Calculate the least common multiple of u and 15.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, -5, -1379 in descending order.\nAnswer: 5, -2, -5, -1379","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-630)\/588*(-3 - -5).\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-112)*-44 + 2.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/8)\/(3\/(-10))*-6. Suppose 5*y - 2*c = n, -3*y - 6*c + 3*c + 30 = 0. Solve 5*d = y - 20 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 521 + -3?\nAnswer: 514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 310522 to the power of 1\/3, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -141 divided by -16.\nAnswer: 141\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(108)*-1 + sqrt(108) + 3 + -3 + 3)*4)**2.\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 75030299 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -141743\/30 - -4731. Find the common denominator of u and 145\/126.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -10*h + 1. Let f(w) = w. Let m(d) = -21*f(d) - 3*j(d). Let t = -26 - -28. Does 6 divide m(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -78 - -236\/3. Let d = -4\/9 + h. Which is the nearest to -10? (a) -5 (b) 0.5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 7*o**3 - o**2 - 3*o + 2. Let s be a(1). Let r = 2 + 2. Suppose -5*w = -s*h - 40, -2*w - w = -r*h - 27. What is the nearest to -0.1 in 0.1, -9, h?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 164544881 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -14, 3\/17, -1, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 510, -1, 52 in descending order.\nAnswer: 510, 52, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12609082 or 12609070?\nAnswer: 12609070","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 17365921 to the power of 1\/2, to the nearest integer?\nAnswer: 4167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*c - 5*l - 15, 10 = c + 3*l - 4*l for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k**3 + 3*k**2 - 5*k + 31. Calculate d(-5).\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 160914 to the power of 1\/3, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -t - 2. Let b be (t - (-3)\/1)*1. Find the first derivative of 16*n + b*n**3 + 3 - 33*n + 17*n wrt n.\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -721 + 723. What is the biggest value in 0.4, 18, d, -1?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9.9 + 10. Which is smaller: 1\/4 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 106.4 + -107. Let b = -0.2 - -1.2. Let f = r + b. What is the smallest value in 2\/7, -2\/15, f?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 2*i + 112. Suppose 5*t = -2*z + 145, -2*z + t + i = -83. Calculate the remainder when z is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -3 - ((0 - -2) + -7).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 AM and 10:01 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 6*((sqrt(539) + 2*sqrt(539) - sqrt(539)) + sqrt(539)) + 0 + ((sqrt(539)*1 + sqrt(539))*-4)**2.\nAnswer: 126*sqrt(11) + 34499","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*d**2 - 20*d**2 + 60*d**2 - 27*d**2.\nAnswer: -7*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 6*l + 3. Let i be (-4)\/(-6)*30\/(-4). Let w(z) = -z**2 + 5*z + 2. Let q(x) = i*b(x) + 6*w(x). What is the derivative of q(a) wrt a?\nAnswer: -12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 5220?\nAnswer: 5220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 25687676?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -625.83 to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 3. Suppose 0 = -z + n*d - 5, -4*z + 5*d - 6 - 2 = 0. What is the remainder when z is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.7+8.12\nAnswer: 11.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 - n**2 + 19. Let m(d) = -d**3 + d**2 - 18. Let i(a) = 2*m(a) + 3*u(a). Is i(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40881 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3 - -1) + 3)*(-16)\/(-8). Find the third derivative of q**y + 17*q**3 - 11*q**3 + 0*q**2 wrt q.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s**2 + s - 10. Let d be -4*(-4)\/(-8) + -1. Let g be f(d). Solve g*u = 4*u - 4 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*d - 2*r - 0*r, -2*r = 2*d + 8. Let z be d\/(4 - 1 - 4). Is -3\/7 at least as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/((y*y**(2\/3)*y*y)\/y)*y**9)**(-13\/5)\/((y*y*y*y\/(y*y**4)*y*y)\/y**(-1\/2))**(-1\/5) assuming y is positive.\nAnswer: y**(-563\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 7*l - 7. Let y(r) = 6*r - 6. Let j(b) = -4*c(b) + 5*y(b). Suppose 6*g + 3*a = 18, -55*a - 24 = -g - 52*a. Give j(g).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(-3 + -1 + sqrt(99)) + 3 + 4 + (sqrt(99)*1 - sqrt(99)) + 4 + (sqrt(99) - (-2*sqrt(99) + -5)))**2 + 2)*-4.\nAnswer: -32340 + 1728*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 - 15*j + 8. Does 9 divide q(20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 184 is divided by 184?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 748215?\nAnswer: 3, 5, 13, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*2*sqrt(832)*5 + 1 + -5*sqrt(832)*-4)**2.\nAnswer: 160*sqrt(13) + 83201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u**3 - u**2. Let z be w(1). Let f be (z\/(-1))\/(0 - 1\/6). Solve -5*a - 9 - f = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 8:47 AM?\nAnswer: 2:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28 + -25. Let g be 53 + 0 + (v - (-1)\/(-1)). What is the greatest common divisor of 11 and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 PM and 12:35 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 + 4*i**2 + 3*i + 1. Let d be k(-1). Let n be (d + 3)*21\/(-84). List the prime factors of (n + 4)*500\/12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 280 = 4*l + 3*n + n, 3*n = 3*l - 180. Let s = l - 24. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*s + 45. Suppose -p = -s*p + 12. Suppose 5*d + 5*b + 10 = 0, p*d = 3*b + 17 - 5. What is the remainder when d is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 8, r: 2, z: 1, f: 7}. What is prob of sequence sszs?\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 958*x - 44. Is k(2) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (6 + -6 + 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -115 - -98. Let h = 23 + c. Solve -h = -0*y + 3*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -30\/11 and -45\/157?\nAnswer: 1727","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 - 10. Suppose 0 = -5*v + n + 178. Does 20 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29173 is divided by 9666.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a kilometer in meters?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 3 = 5*w, 4 = v + 3*v - 4*w. Suppose -f - 3*a - 3 + 23 = 0, v*f + 2*a = 48. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 218 divide 872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x**2 + 17*x - 8. Let n be g(11). Let h = 116 + n. Suppose -h = -8*c + 43. Calculate the greatest common divisor of 12 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -114 divided by -15?\nAnswer: 38\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*(p**23*p)\/p)\/(p**25*p))**12 assuming p is positive.\nAnswer: p**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 327590784 and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j*j*j\/(j*j**(-2\/33)))))\/((j\/j**26)\/j)*((j*j**(5\/6))\/j)**(3\/4) assuming j is positive.\nAnswer: j**(7573\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 304.999746 - 305. What is f rounded to 5 dps?\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128712968?\nAnswer: 2, 23, 699527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(2\/(-1))*(-15)\/3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 373, 1287, 3155, 6397, 11433, 18683?\nAnswer: 28567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c + 172. Let m be r(0). Let z = 2926\/17 - m. Which is bigger: 1 or z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.960894 micrometers in kilometers?\nAnswer: 0.000000001960894","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 to the power of 1\/2, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 688 and 16.\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9369748?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -25, 11.\nAnswer: -25, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 5*s**3 + 12*s**2 - 27*s + 128. What are the prime factors of f(15)?\nAnswer: 2, 9649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*a**2 - 2*a**2 + a**2)*(2*a - a + a) - 6*a**3 + 2*a**3 + 3*a**3 - 5*a**3 + 2*a**3 + 13*a**3 in the form d*a**3 + c + g*a**2 + m*a and give d.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of -11*v**4\/24 - 2*v**3\/3 + 2*v**2. What is the first derivative of w(u) wrt u?\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r - 15*r = 3*v - 11, -5*r - 5 = 0. Suppose -i + x - 108 = -2*i, -i + 96 = v*x. What are the prime factors of i?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5894631 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/6 - (-169)\/26. Suppose t*q - 1020 = q + 5*r, 4*q = r + 828. What is the lowest common multiple of q and 20?\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.8 - -0.1. Let b = 1.4 - r. Sort 2, b, 0.2 in decreasing order.\nAnswer: 2, 0.2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 360 and 200.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 6164 divide 3030592311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 21 = x + i, -2*x + 15 = 5*i. Let p(o) = -2*o**3 - 20*o**2 - 165*o - 1295. Calculate the remainder when p(-9) is divided by x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9.959 + 10. Let l = -0.06 + 0.054. Let u = l - g. What is u rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 + 0 - (264 - 247).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 1\/44 (b) 1\/6 (c) -3724 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 68 - -87. List the prime factors of b.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1640 = -74*n + 66*n. Solve -101*t + n*t**2 - 210*t**2 - 14*t - 110 = 0.\nAnswer: -22, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ottxintddiitiotii. Give prob of picking 2 d.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1879141612.\nAnswer: 2, 223, 997, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21665394 by -267474.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 970562501 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 105962040 and 234?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-4\/7))**(2\/71))**(-11) assuming d is positive.\nAnswer: d**(88\/497)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 12, 4*s - 27 = -5*h + 39. Calculate the remainder when (-2 + 3 - -38) + 0 is divided by h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -673.187 to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of -o**4\/4 + 4*o**3 - 3*o**2\/2 + 7*o - 2869. Give p(11).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -20 at least as big as -22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 + 504*f - 16460. Calculate y(35).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 - -62. Let u = f + 27. Is (-3)\/6*u\/(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35136156.\nAnswer: 2, 3, 11, 266183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 148 a factor of 70937?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3677.9993 rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -1590*b**2 - 1997*b**2 - 2831*b**2 - 476*b**2 + 772*b**2 as m + f*b**2 + t*b and give f.\nAnswer: -6122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 5 = 0, 2*z + 4*i = -1683 - 245. Let h = -968 - z. Suppose 27 = c + 4. Sort h, c, -5 in ascending order.\nAnswer: -5, h, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of k**4\/24 + k**3\/6 - 2*k**2. Let y(r) = r**2 + r - 2. Let a be y(2). Suppose 6 + a = 2*n. Determine t(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4.91 and 5.\nAnswer: 24.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 303.0929 minutes in milliseconds?\nAnswer: 18185574","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 PM and 12:52 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-3 + 4 - (-2 + 4))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10011110100111100 (base 2) in base 13?\nAnswer: -2ac71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*f + 12*f = 3*n - 11, 5 = 3*f + 2*n for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5.2 or 0.12623402?\nAnswer: 0.12623402","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 594?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-106419)\/(-33) - -4) + 4\/22 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 6*k**3 + k**4 - 2*k**3 + 6*k**5 + 5*k**2 - 5*k + 5*k**3. Let w(r) = 5*r**5 + 8*r**3 + 4*r**2 - 4*r. Let c(j) = -4*f(j) + 5*w(j). Factor c(z).\nAnswer: z**3*(z - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 7 (b) 5 (c) 0.06 (d) -4 (e) -148\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4755*i**2 - 2804*i**2 + 7371*i**2.\nAnswer: -188*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -25234*k**3 - 33*k**2 - 33*k. Let v(q) = -1577*q**3 - 2*q**2 - 2*q. Calculate 2*t(z) - 33*v(z).\nAnswer: 1573*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(378\/18)*(-120)\/(-136)?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4943 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 52\/15 or 3?\nAnswer: 52\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -q**2 + q**2 + 5*q**2 + (-3*q + 4*q + 6*q)*(-5*q + q + 2*q) + (4*q + 3*q - 5*q)*(11 - 11 + 4*q) in the form u + a*q**2 + o*q and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*w = -1241 + 2938 + 3412 for w.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-2 - ((4 - (-1 + -1)) + -1))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 - 15*s + 23. Let n be p(13). Let c be (5 + -2 + n)\/2. Solve -k = 5*u + 11, c*k + 5*k - 20 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 - 85 = -4*z + 3*m, 5*z - 2*m = 59 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, q: 1, l: 1, o: 1}. Give prob of picking 1 q and 1 o.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 75 - 59. Suppose -18*j + 140 = -v*j. Let a be ((-42)\/j)\/((-1)\/5). Solve -2*n + 10 = -2*p - a*p, -3*p = -2*n + 2 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0898 - 0.0102. Let v = 212 - 130. Which is smaller: v or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -0.4, -13.\nAnswer: -13, -0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2.815 - 44\nAnswer: -41.185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/16 + 2\/4. Suppose 0 = 2*m - 3*g - u + 1, m - 10 = -2*g. Let p be -1 + m*3\/6. Let o(v) = 8*v**3 + v**2 + v - 1. Determine o(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 21 = 5*n, -3*n - 3 = -5*d + d. What is the second derivative of 6*p**3 - 11*p + n*p + 6*p wrt p?\nAnswer: 36*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13355402773 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 36*o + 53912700. Round o to the nearest 100000.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 245*s**6 + 5*s**2 - 264*s**6 + 0*s**2 wrt s?\nAnswer: -2280*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 3\/7, 1104, 2, -3.01, -2, -0.3, 5?\nAnswer: 1104","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 570 - 342. Suppose -x - 5*x - m = 0. Let r be 2\/7 - x\/(-35). Sort r, 0.3, -2\/9 in ascending order.\nAnswer: r, -2\/9, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -292 (base 12) in base 3?\nAnswer: -112202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -63*r + 3 + 2*r**3 + 6*r**2 + 0*r**2 + 63*r to j*r**2 + p*r**3 + g + w*r and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sow when three letters picked without replacement from {t: 3, o: 1, s: 1, w: 6, h: 1}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3268 and 53827?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 8. Suppose 0*q - b = -q. Let h be q + -3 + 3 - -399997. Round h to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -4*l - 15. Determine j(-8).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 316.8 - 275. Let j = z + -42. Which is bigger: -7 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61001 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6742 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-3*((-2*sqrt(544) - sqrt(544))*-5)\/(((sqrt(126) + sqrt(14))*2)\/sqrt(7)).\nAnswer: 135*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18803.\nAnswer: 18803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*w - 23*w - 6 - 11.\nAnswer: 7*w - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 20\/57, 3, 0.2, -2, -0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 169603074 a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -324, -326, -328, -330?\nAnswer: -332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 2*c + 0*c = -60, -4*d = -2*c + 48. Let h = d + 8. Is (-382)\/4*8\/h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 814\/(-37)*(1*15\/(-10))\/(-3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of -l**5 + 11*l**4\/24 - 43*l**2. What is the second derivative of k(f) wrt f?\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 0 - 2\/3*r**2 - 4\/5*r - 2\/15*r**3 = 0.\nAnswer: -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*z - z**2 - 3*z)*((3 - 2 + 1)*(4 - 1 - 2) - 1 - 1 + 3 + (-6 + 3 + 1)*(1 - 3 + 1)) to the form g + x*z**2 + p*z and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 732672506?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -2, 1, -12 in ascending order.\nAnswer: -12, -9, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z**3 + 2*z**2 + 492*z - 4*z**2 + 12*z**3 + 157*z - 9*z**3 to l*z**3 + x*z + j + o*z**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -15 + 6100?\nAnswer: 6052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11177171.\nAnswer: 151, 74021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 21378661789 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(288) + -3)*-4 + 4 - (sqrt(288)*-2 + 2)*-5)**2*-2.\nAnswer: -114248 + 17472*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.604 - 5.604. What is the nearest to -2\/7 in 7, k, -2\/3, -2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 246 a factor of 199593456?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 5*r - 56 = -q, -5*r - 96 = -4*q. Let f = q - 14. Solve -b = -2*j + f, -5*j + 10 = -3*b - 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 + 35 = -8*y + 65. Let k(n) = -n**2 - 7*n - 9. Let j be k(-6). Put y, 5, -2, j in increasing order.\nAnswer: j, -2, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7534, 7547, 7560, 7573?\nAnswer: 7586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1210022351 + -133?\nAnswer: -1210022524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wawaa. Give prob of picking 1 w and 2 a.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 122 + -9. Let u = 31 + k. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -234*s**2 - 147*s. Let x(q) = -3*q - 3. Give d(x(m)).\nAnswer: -2106*m**2 - 3771*m - 1665","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1547 and 1.\nAnswer: -1547","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -63322 (base 11) to base 10.\nAnswer: -92226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (102 - 98 + 125)*(2*p**4 + 0*p**4 + 0*p**4)*(0 - 3 + 5) to the form v + m*p**2 + g*p + u*p**4 + h*p**3 and give u.\nAnswer: 516","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -200a (base 16) to base 12.\nAnswer: -48b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/252992 and 46\/11.\nAnswer: 2782912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92962 is divided by 254.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 230208784*d**2 - 121261356*d wrt d.\nAnswer: 460417568","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 243317, 243360, 243403, 243446, 243489, 243532?\nAnswer: 243575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 - 7*c**2 + 2. Let l be h(-7). Suppose l = -5*v + 132. Is v a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2876 is divided by 807.\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*w**3*y + w**3 + 118*w**2 + 24*w*y**4 wrt y.\nAnswer: 3*w**3 + 96*w*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-31))\/((-1)\/1). Let q = 27\/62 + u. Let c(x) = -x**2 - 10*x - 25. Let j be c(-3). What is the second biggest value in j, -0.4, q?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 22275?\nAnswer: 89100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32 - 16. Let k = -14 + a. Let 6*y**2 - 4*y**k - 6*y + 4*y = 0. Calculate y.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1698488155 to the nearest integer?\nAnswer: 1193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmnmmmnunmn. Give prob of picking 1 n and 1 m.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 45354 = -t. Let m = 8999 + t. Let x = m - -3619. Round x to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 172601.\nAnswer: 11, 13, 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 96, 86, 78, 78, 92, 126?\n\"Answer: h**3 - 5*h**2 - 2*h + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/121316088 and -3\/30460?\nAnswer: 606580440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.817 rounded to 1 decimal place?\nAnswer: -8.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -3*h - 12. Let i be p(-5). Suppose r + 4*r - 4*k - 26 = 0, 5*r = i*k + 22. Suppose r*a - 36 = -12. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 + -17.9. What is the closest to s in 5\/6, -0.4, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5784, 11611, 17472, 23367, 29296?\n\"Answer: 17*a**2 + 5776*a - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*k + 78*k = 211*k. Factor 0*x + 9*x**3 + 3\/4*x**5 - 6*x**2 + k - 9\/2*x**4.\nAnswer: 3*x**2*(x - 2)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -36 + 47. Solve i = 5*l - 2*v, -4*l - 2 - 9 = 5*v for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 6\/1483?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/((3\/7)\/((-156)\/273)). Let -2\/7*b**t - 2\/7*b + 2\/7*b**2 + 2\/7*b**3 + 0 = 0. Calculate b.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7293252 + -4341\nAnswer: -7297593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*z = 17*z + 8. Suppose -9*f + 190 = -z. Calculate the remainder when f is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*u**2 - 347*u - 84 wrt u?\nAnswer: -4*u - 347","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hnbfhubbfhnhhng. What is prob of sequence fb?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((56100\/(-462))\/(-85)).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 3 - (6 - (-8 + 13)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 322 and 2083648?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 64810966?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 5, -16, -1\/4, -2, 153?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -126601, -253184, -379767?\nAnswer: -506350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9756 and 271.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/3)\/(4\/(-9)). Let y be -7 + 3 + -1 + 7. Suppose 8 = -2*j, -2*j - y = 2*i - j. Is a >= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17404.696 - 17407. Let h = -1.95 + -0.05. Let f = g - h. Round f to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 3*m**2 + 17472*m + 25439232 = 0.\nAnswer: -2912","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*p = 5*p - 34 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of a**6\/120 + a**5\/40 - a**3\/2 - 3*a**2. Let w(l) be the first derivative of z(l). Factor w(b).\nAnswer: 3*b*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/140)\/(180\/9870) - 2\/20. Let f be (-8)\/3 - (-30)\/45. What is the closest to f in k, 0, 9?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 + -7. Let i(g) = g**2 - 8*g + 4. Let v be i(s). Solve a - v = -2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 2*i**2)*(2 + 3*i + 16403*i**2 - 4*i - 16337*i**2) in the form c + a*i**3 + q*i + s*i**2 + r*i**4 and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i**2 - 46*i - 18*i**2 - 4*i**2 + 27*i**2.\nAnswer: i**2 - 46*i","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 91 and 1638.\nAnswer: 1638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 6 = v, 49*v + 4*k - 32 = 45*v for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 - 4*a - 6. Let v be c(-4). Let k = v - -8. Suppose -4000 = -k*g + o, 2*g - 2*o = 3258 + 742. Round g to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*q**3 - 134*q**2 - 2*q - 210 wrt q?\nAnswer: -18*q - 268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**1)**(-4\/5)\/(((u*u*u\/(u\/(u*u**(-26)\/u)*u))\/u)\/(u*u*u**(-19\/3))))**(14\/9) assuming u is positive.\nAnswer: u**(4382\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47426?\nAnswer: 2, 23, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 325.83 and 146462?\nAnswer: 146136.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 + 307*l + 2524. Let n be y(-8). Solve -n*f + 7*f + 2*t + 11 = 0, 14 = -2*f - 3*t for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 4:03 AM?\nAnswer: 10:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 + 18. Suppose -6 = f*r - 3*r. Calculate the greatest common factor of 15 and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -37 + 35.3. Let s = 1.75 + v. Which is the biggest value? (a) -4 (b) 4\/7 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, v: 6, u: 4}. Give prob of picking 1 h and 1 v.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 2)*(-3 - 1 + 2)*(-9749 + 210*g + 9749).\nAnswer: -420*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12*120\/49140*21.\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*t = -22*t - 4*j - 32, -5*t = j - 17 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 204\/10455*(-9)\/6*(-25)\/(-15).\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2357*n**2 - 10*n + 4. Is g(13) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**9*j\/j**(-3) assuming j is positive.\nAnswer: j**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5235, 14949, 24663, 34377, 44091, 53805?\nAnswer: 63519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 10*z = 7. Let t = 14 - 0. Let i = 9 - t. Is i at most z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*i - 4*m - 28 = -83*i, -5*i = m + 3. Sort i, -5, -38 in descending order.\nAnswer: i, -5, -38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-8 - (-7 - -2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-1))\/(18\/45)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 8\/5 (b) -2 (c) 3\/796 (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**4 + 48*c**3 - 212*c**2 + 408*c - 288.\nAnswer: -4*(c - 4)*(c - 3)**2*(c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 104665 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 380 = 5*g, -7*g - 148 = -2*w - 10*g. What is the remainder when 477 is divided by w?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -0.198.\nAnswer: 0.0792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 93266 divided by -6?\nAnswer: -46633\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a gram in milligrams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11873 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 4*b - 6 = -2*p, -2*b = 10. Suppose -37 + 229 = 3*q. Calculate the greatest common factor of q and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9193 - -9169. What is the third biggest value in 5, -0.3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*d**3 + 18*d**3 + 1 - 75093*d**4 + 75148*d**4 as c*d + k*d**4 + v*d**3 + r*d**2 + q and give v.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*b**3*u + 5*b**3 - 189*b**2*k**2*u - 36*b*k**2 wrt u?\nAnswer: 2*b**3 - 189*b**2*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 146, 158, 176, 200, 230?\nAnswer: 266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 34 - 30. Suppose x*o = 440 - 124. What is the remainder when o is divided by (-38)\/(-57)*(-60)\/(-2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19842768 and 3168?\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.32556 rounded to 2 dps?\nAnswer: 4.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22\/(-30) + 1)*30\/(-72).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -88 + 98 + 1 + (-5 - (3 + -7)) + -43\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 29\/2 of a decade?\nAnswer: 1740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 436052.4 (b) 2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-19)\/(-44) + (-4)\/16 - (-1060)\/583. Solve -d - z*r + 12 = 0, d - 3*r = -d - 11 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 809, 914, 1033, 1172, 1337, 1534?\nAnswer: 1769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -89 less than 590925148.28?\nAnswer: 590925237.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9.9 - 10. Let p = -0.29 - v. Let k = p + 1.19. What is the nearest to 1\/5 in 0.2, 0.4, k?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 14*g - 15. Let y(d) = 20*d. What is b(y(a))?\nAnswer: 280*a - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a litre in millilitres?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -351.2192 and -0.3?\nAnswer: 350.9192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 31b7 - -5?\nAnswer: 3200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 73587768900 rounded to the nearest one million?\nAnswer: 73588000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 21*((-20)\/8)\/((-63)\/(-42))\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(18)*5 - sqrt(2) - sqrt(2)).\nAnswer: -65*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11000112 (base 3) to base 15.\nAnswer: d05","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 858985607 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 61983?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169 is divided by 156?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 458 divide 1012180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/248 and 55\/32.\nAnswer: 992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/937932993 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7019 is divided by 108?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*3\/(-27)*2. Which is bigger: n or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 4*m**2. Let q(p) = -59*p**2. Calculate y(q(j)).\nAnswer: 13924*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 4*t + 7 = 14, 4*t = 4*h - 4. Let p(o) be the first derivative of -h + 7\/12*o**2 - 5\/18*o**3 - 1\/2*o + 1\/24*o**4. Factor p(k).\nAnswer: (k - 3)*(k - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*m**2 + 1 - 3*m**2 - 52*m**2 - 80*m**2.\nAnswer: -100*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19 + 28. Suppose 0 = -5*m + b + 21. Calculate the lowest common multiple of (m\/(-4))\/((-24)\/32) and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -n + 3 - 20 for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -38843\/136 or -286?\nAnswer: -38843\/136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (6\/((-60)\/(-1)))\/((-2)\/16)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.1, -34, 4, -6196.9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/5, -19, -3\/2?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b. Let t(s) = 15*s. Let y(x) = 15*x. Let k(q) = -6*t(q) + 5*y(q). Determine f(k(h)).\nAnswer: 15*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11.57? (a) 0.4 (b) 4 (c) -0.3 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 2*g = 12. Suppose 12 = -g*v + 87. List the prime factors of v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*m - 16 = -61*m. Let r be ((-19)\/m - -5) + 6\/24. Is -185 at most r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11334084 rounded to the nearest 100000?\nAnswer: 11300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/45640 and 31\/66024.\nAnswer: 53809560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 28682928 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (7 - 2)) + 3 + (-15 - -10).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -11 + 17 - (-2 + 5). Suppose -o*q - 2*m + 13 = 0, 0 = -4*q + 5*q - 4*m - 9. Solve -q = y - 1 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.16 + -0.07. Let d = 5.91 + q. Let y = 6.4 - d. Which is the second biggest value? (a) 0.1 (b) y (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10*6*5\/60?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -118.9 to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*154\/(-528)*-32.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 443521969 to the nearest integer?\nAnswer: 763","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 616 and 13013.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1840 and 560?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*r**2 + 6*r**2 - 10 + 4532*r**3 - 4533*r**3)*(2 - 1 + 1) to the form c + i*r + g*r**2 + t*r**3 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1122 (base 4) to base 5.\nAnswer: -330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117 - 45 - 44 + 5*y**2 - 28.\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-72)\/(-392)*((-4416)\/432)\/46?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h - h - 2*h + (-1 + 2 + 1)*(9 - 7*h - 9).\nAnswer: -15*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -827, -1654, -2481, -3308?\n\"Answer: -827*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(2 + 20\/(-8)). Let q be (-1 + -5)\/(-2 - 186\/f). What is the fourth smallest value in -4, -2\/17, -1\/8, q?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 - -14. Let i be -1 - (-1987 - (m + -3)). Suppose -i = -4*k - k. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118*g**3 + 393*g**3 - 109*g**3 - 101*g**3 - 63*g**3.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1756?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -12, 3, 1, 0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - 3\/5)\/((-30)\/(-75)). Let m be -2 + 10 + (-140)\/16. Let s be -1*1 - (-10)\/8. What is the smallest value in -1, s, x, m?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.013211 and -293?\nAnswer: 292.986789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-5\/2)*k*k\/k**(2\/25))\/(k\/((k**(2\/33)*k)\/k)*k**(-1\/2)\/k))**(-50) assuming k is positive.\nAnswer: k**(-1618\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 2*a = -128 + 108, 0 = -4*h + a - 4 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/20*(-2)\/4*-10.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25.14 - 0.14. Let d = -25.19 + x. Let q = 0.31 - d. What is the closest to -0.1 in 0.1, q, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1298?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -401*u. List the prime factors of m(-7).\nAnswer: 7, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0087*-4\nAnswer: 0.0348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-711)\/(-27) - 8\/6. Suppose 5*z - u = 5*j, 2 = 4*j - z + 22. Let f(n) = -n**2 - 3*n + 3. What is f(j)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -137 - -134. Do 10 and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of q**4\/24 + q**2. Let l(f) = -10*f. Suppose -16 - 18 = -3*d - 52. Give d*l(c) - 52*x(c).\nAnswer: 8*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -3*c - 16, -4*y = -3*y - c. Let l be 45\/(-9) - (y - 2). Let j = 0.9 - 1. What is the nearest to j in 2\/29, -0.1, l?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/120)\/(11\/594)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32\/128 - 206\/24) + (-44)\/66.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166.02 rounded to the nearest 10?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 416851 - 183149. What is s rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**5 - 14*q**4 + 25*q**3 - 12*q**2.\nAnswer: q**2*(q - 12)*(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 f when three letters picked without replacement from faffaaffafaafafaaar?\nAnswer: 120\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 52*s**2 - 42*s**2 - 14*s**2. Let w(x) = 25*x - 39*x + 25*x. Calculate w(o(a)).\nAnswer: -44*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 h when three letters picked without replacement from hwggh?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 105613?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 14*q**2 + 2*q - 5. What is p(3)?\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j**2 - 3*j**2 + 5*j**2 + 18*j**2 - 16*j**2.\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2 - 23476*j + 93872.\nAnswer: 2*(j - 11734)*(j - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2758, -5684, -8624, -11584, -14570?\nAnswer: -17588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10.3 + 10.6. Let w = -60 - -239\/4. Sort b, w, 3.\nAnswer: w, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 251108 divided by 10.\nAnswer: 125554\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3206, -12983, -29320, -52253, -81818?\nAnswer: -118051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 49156 to the power of 1\/2, to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 115496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 81 and 1620?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*p + 13*p**2 + 20*p in the form j*p**2 + x + q*p and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -194472, -194529, -194586, -194643, -194700, -194757?\nAnswer: -194814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.1? (a) 1 (b) -4 (c) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.5 - 4. Let n = l + -1.3. Let g = 2 + n. Which is the nearest to 1? (a) 0 (b) g (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + h = -4, 3*r = 4*h + 19. Suppose 2*u + 38 = 56. Suppose 15*s - 18*s = -u. Sort s, r, 1\/9 in descending order.\nAnswer: s, r, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 249.7581t to grams.\nAnswer: 249758100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*x - 2*l, x = -l + 3*l + 10. Find the first derivative of 36 - 102*z**x + 13 + 5 - 3 wrt z.\nAnswer: -408*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -111 - -106. What is the second biggest value in -10, -0.2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 7*b = 4. Let q(h) = -h**3 + 8*h**2 - h. Let o be q(8). Is 3 a factor of (b - 2)\/(3\/o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5294*h*w**3 - 48*h - w**3 - 18033*w wrt h?\nAnswer: 5294*w**3 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(484) - -3*sqrt(484)*2)\/(sqrt(11) + (sqrt(44) - -2*sqrt(44))))\/(4*-6*sqrt(64)*-2) + 3)**2.\nAnswer: sqrt(11)\/32 + 331787\/36864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6137603?\nAnswer: 6137603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 5431160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*n - 4*o = 25*n + 8, 5*n + 23 = -3*o for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 153003588?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 3) + (-7 - -9) + -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, 0, 2 in decreasing order.\nAnswer: 4, 2, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 5*z**3 + 8*z**2 + 6*z - 7. Let h(c) = -6*c**3 - 9*c**2 - 4*c + 6. Let b(j) = 3*h(j) + 2*k(j). Let x(r) = r**3 + r**2 - 1. Give b(l) + 6*x(l).\nAnswer: -2*l**3 - 5*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12293 - 61273\/5. Solve 2352\/5*j**3 + 504\/5*j**2 + 1029\/5*j**4 - 48\/5 - l*j = 0.\nAnswer: -2, -2\/7, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 3*b - 15, -1 = -2*y + 3*b - 6. Let a be (2 - y)\/(1 + 1). Suppose s + 0*s - 4 = a. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 191899?\nAnswer: -1\/191899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3354 and 102.\nAnswer: 57018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do 7\/5 and 238\/65 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19641?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 568362942.\nAnswer: 2, 3, 7, 491, 9187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.6, -1\/8, 1\/6, 70.653, 1\/5 in ascending order.\nAnswer: -0.6, -1\/8, 1\/6, 1\/5, 70.653","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*z = -50*z + 41022. What is the lowest common multiple of z and 424?\nAnswer: 3816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3873 at most 163447?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 37782484 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -9. Let o be 2 + -5 - -3*g. Suppose 0*i = -2*w + 2*i + 22, 2*i = o. What is the remainder when 19 is divided by w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 - 3*r**2 + 6*r + 6. Let i be g(-4). Let p(m) = 9*m - 186. Let l be p(21). Let h = i + l. Calculate the least common multiple of h and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8363\/16 smaller than 522?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*q**2 - 1 - 27*q + 6*q**2 - 8*q**2 + 4*q**2 to the form u*q**2 + h + a*q and give a.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 310?\nAnswer: -1\/155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 - 2*x**2 + 5*x + 1. Let y(i) = -6*i**3 - 11*i**2 + 25*i + 6. Calculate -22*m(r) + 4*y(r).\nAnswer: -2*r**3 - 10*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0 and -33.755.\nAnswer: -33.755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -46 - -37. Let c be 30*(x + 4)\/(-10). Let q = 16 - c. Is 1\/27 not equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10365 divided by 5?\nAnswer: 2073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (m**2 + 2 + 1 - 2*m**2)*(-7*m - 10*m - 49 + 48)*(54 - 9*m - 54) to the form f*m**3 + g*m + z*m**2 + i*m**4 + h and give i.\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -8, 1\/4, 1\/2, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-520)\/(-25))\/((-1)\/5). Let p = -69 - v. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 651, 1844, 3039, 4236, 5435?\nAnswer: 6636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 4*d - 6 = 0. Let g = -1 + d. What is the nearest to 2\/5 in -5, -1\/8, g?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 88\/3*l - 8\/3 - 242\/3*l**2.\nAnswer: -2*(11*l - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 27 = 3. Let g be 5*(1 + 2\/5). Suppose -l = -g - 4. What is the remainder when v is divided by l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -6*r - 66 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -58\/45 + -2\/45. Suppose 3*p - 10 = 2. Suppose -16 = -p*b, b - 5*b + 16 = -4*m. What is the second smallest value in h, m, 3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/17 > -98.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12952 = 1362*l - 1187*l + 9798 for l.\nAnswer: -130","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3284440?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23358 divided by -18015.\nAnswer: 7786\/6005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -6*v**2 - 237*v - 2. Let z(b) = -32*b**2 - 1211*b - 9. Give -11*p(d) + 2*z(d).\nAnswer: 2*d**2 + 185*d + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 85\/(-10)*(1*(-1 + 2))\/((-2508)\/25080).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of -5*t**4\/6 + 43*t**3\/6 + 45*t**2. Is v(-4) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -216.8057 to zero dps.\nAnswer: -217","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26 + -12. Suppose -3*j + 4*f = -63, 23 = 2*j - f - p. Is 10 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11768553?\nAnswer: 3, 37, 59, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 45*u**2. Let t(o) = -1. Let q(d) = 6*d - 5 - 24*d + 13*d. Let b(w) = -q(w) + 5*t(w). Give b(x(a)).\nAnswer: 225*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (3 - 7) - 11?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1997, -5, 3 in ascending order.\nAnswer: -1997, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 33 in -8, 0, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -1612?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of -v**8\/42 + 7*v**4\/24 + 7*v**2\/2 + 4. Let g(y) be the second derivative of q(y). Find the second derivative of g(j) wrt j.\nAnswer: -160*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -7*g + 12. Suppose -8*r = -11*r - 5*z + 13, 12 = 2*r + g*z. Let i be 1 + r + (-66004)\/2. Round i to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 - 14*f - 9. Calculate the least common multiple of 6 and i(-12).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15759450 not equal to 15759453?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -3. Let s = -13.7 - -14. Which is the second biggest value? (a) -3 (b) r (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -6*b**3 + 19*b**2 - 314*b + 924. Determine g(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10008 to the power of 1\/2, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 26107.905s?\nAnswer: 435.13175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1576 - -83536\/53. Is p bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m = -5*m + 91. Solve 4*d = m + 1 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25 + -46. Let q be (0 - (-16)\/7) + 6\/a. Sort -2, q, 5 in decreasing order.\nAnswer: 5, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*-2*sqrt(78) - (sqrt(78) + ((1*sqrt(78) - sqrt(78)) + sqrt(78))*6))\/(sqrt(294) + sqrt(294)*2*1))**2.\nAnswer: 13\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000122782 to 6 decimal places.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19312802?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -3877.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 83614537 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1598 = 38*c - 36*c + 2*r, -3*c - 5*r = -2405. Suppose 514*k + c = 519*k. Is 10 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-5719)\/2107)\/(1\/((-42)\/4)))\/((-36)\/24).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 3 h when four letters picked without replacement from pqphhhqqhq.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -38 + 74. Let m = c + -36. Let m*h - 2\/3*h**2 + 2\/3 = 0. What is h?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 3*o**2 + 9*o - 10. Suppose 8*j + 23 = -33. Calculate the remainder when a(j) is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2817*u + 1955*u + 4983*u + 8302*u to the form v + t*u and give t.\nAnswer: 12423","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**(-1\/4)\/p))**48)**(-3\/17) assuming p is positive.\nAnswer: p**(-324\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -3*r + 378, -3*j + 3*r = -2*j - 171. Let z be j - -3 - 20\/5. Round z to the nearest 10.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-15))\/(-3)*8030\/(-73)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2016 a factor of 14146272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 252 = 4*s, -4*k + 3*s - 213 = 39. What is the units digit of k*3*(-42)\/54?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 423 - 173. Suppose -g + 6 = 143. Let x = g + c. What are the prime factors of x?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -411 - -235. Let t = u + 175.802. What is t rounded to two dps?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 468 - l + l**3 + l.\nAnswer: l**3 + 468","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2142 is divided by 444?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -118 + 40. Let i = 161 + p. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -2 + (0 - -4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4983 + -4835. Which is bigger: 7 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 15 - 1)*(3*v**4 - 6104*v + 6104*v - 105) to the form g*v**3 + k*v**2 + c + d*v + y*v**4 and give c.\nAnswer: 1470","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4976*a*f*q**3 + a*q**3 + f*q**3 + 2416*f*q**2 - 2*q**2 wrt a?\nAnswer: 4976*f*q**3 + q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15128?\nAnswer: 2, 31, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9\/5 in 1\/47, 0, -4, -2?\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -463 + 204216?\nAnswer: 203423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 3 (b) -1\/15 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3232.092 + -474.822. Let i = w - 2782. Let n = i - -23.3. What is n rounded to 1 decimal place?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8b (base 12) to base 3.\nAnswer: -10222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -3*c**5\/5 + 11658*c**4\/5 - 2272077*c**3 + 66755634*c**2\/5 + 191762016*c + 176136480 = 0?\nAnswer: -6, -1, 13, 1940","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 247927 is divided by 3362?\nAnswer: 2501","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z**2 + 2*z + 3. Let s be n(5). Let k(v) = v**2 - 147*v - 2743. Let y be k(-17). What is the greatest common factor of y and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/(-120))\/(2\/(0 - -120)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(7))*5*2.\nAnswer: 10 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 6, x: 2, d: 2, q: 3}. What is prob of sequence xdkd?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 9*k**2 - 1. Calculate the remainder when 30 is divided by o(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of 4*p**6\/3 - 36*p**5\/5 + 16*p**4 - 56*p**3\/3 + 12*p**2 - 4*p + 3. Factor j(z).\nAnswer: 4*(z - 1)**4*(2*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*6477133.\nAnswer: -6477133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/3)\/(14\/735*-5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (61*q - 46*q**3 + 72*q - 130*q)*(-4*q + 3*q - q) to the form d*q**4 + j*q**3 + i*q + y + w*q**2 and give w.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23.97 - 25.97. Let g = 2\/145 - 443\/580. What is the fourth smallest value in g, -2\/9, 5, l?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 + s**2 + 2*s + 411. What are the prime factors of j(0)?\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 96 + -40. Let s be ((-311)\/(-2))\/((-17)\/(-34)). Let w = s + -304. What is the highest common divisor of d and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -3\/2 (b) -1\/5 (c) 5 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 - (1 - 5) - (-19 + -47 - -49).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 - 2)*(29781*m + 1338 - 632 - 706).\nAnswer: -29781*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 4*o - 13 + 37, -3*o - 26 = -5*j. Let z = 11 + o. Solve -q + 6*q - 2*c = -15, -15 = 5*q - z*c for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 3 b when four letters picked without replacement from vbbvbvqb?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-13) + (32 - 7551\/234))*-4.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 14*f**3 - 3*f**2 - 17*f - 17. Suppose 15*z + 95 = 5. Let d(u) = 5*u**3 - u**2 - 6*u - 6. Give z*o(j) + 17*d(j).\nAnswer: j**3 + j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - -13. Suppose -5*i + q = -9. Which is smaller: 4 or i?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(6 + -8 + 4). Let t be (2 + g)\/((-30)\/60). Let u = -2 - -1.7. What is the nearest to 1 in u, t, -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eezezz. Give prob of picking 1 e and 1 z.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115545 is divided by 115493.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 4 - 1)*(24*f + 11*f**2 - 24*f)*(-3*f**2 + 5*f**2 - 4*f**2).\nAnswer: 176*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 25290 and 373?\nAnswer: 24917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/2, -2, -115, -729.\nAnswer: -729, -115, -5\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34 + -31. Suppose 222 = -4*t + 2*y, q*t + 1 = 4*y - 173. Let n = -52 - t. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5607440150 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*j**3 - 5*j**2 - 18*j + 5*j**3 + j**2 + 3 + 26*j**3 as m*j**3 + r*j + c + x*j**2 and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6789796?\nAnswer: 2, 13, 37, 3529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -9*j + 34. Give s(9).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 15\/(-9) + 4\/12*-1. Put 0, 5, o, -4 in decreasing order.\nAnswer: 5, 0, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + ((-13 - -5) + 9 - -7).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 4*r - 5*r = 3, 0 = -r. Let s = 1051 + -1049. Solve -s*l + m = -l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8407?\nAnswer: 7, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -11*o + 438. Let z be c(30). Let k = 185\/2 - z. What is the common denominator of -95\/704 and k?\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45503 (base 10) to base 2.\nAnswer: 1011000110111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of y**6\/45 - y**4\/3 + 8*y**3\/9 - y**2 + 8*y\/15 - 301. Factor l(j).\nAnswer: 2*(j - 1)**4*(j + 4)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 136040163 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s - 12. Suppose 5*h + 23 = -5*i - 12, -3*h + 5*i = 5. Let p = 14 + h. Determine o(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 25*g**5 - 120*g**4 + 125*g**3 + 130*g**2 - 180*g - 40 = 0.\nAnswer: -1, -1\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3649*f - 264 = 3625*f for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -37*d**4 + 192*d**3 - 432*d**2 + 384*d - 103. Let q(i) = 19*i**4 - 96*i**3 + 216*i**2 - 192*i + 52. Let g(j) = -7*q(j) - 4*r(j). Factor g(p).\nAnswer: 3*(p - 2)**3*(5*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q + 10*q - 9*q. What is the units digit of r(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)\/(sqrt(3)*2))\/((sqrt(32)\/sqrt(2))\/sqrt(8)).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8.8 - 115.\nAnswer: -106.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, i: 1, e: 3, p: 3, k: 6, l: 6}. Give prob of sequence lyk.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {f: 9, b: 3}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -3976*j**2. Let p(u) = 5045*u**2. What is p(f(t))?\nAnswer: 79754265920*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32 and 389216?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 8.3 * -6.7144\nAnswer: -55.72952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/1)\/(3 - 1). Find the first derivative of 8 + 4*k - 8*k - k - y*k wrt k.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 159709682?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p**3 - 20 + 6 + 6 + 2*p**3 - 4*p + 4*p + (-2*p + 2*p**2 + 2*p)*(2*p - 3 + 3) + 5*p**3 - p**3 - 3*p**3 to s*p + y*p**3 + v*p**2 + j and give j.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttc when three letters picked without replacement from {t: 2, c: 1, k: 11}?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -75902*r**2 + r - 92. Let x(w) = -2*w. Calculate v(x(k)).\nAnswer: -303608*k**2 - 2*k - 92","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + 14. Suppose -3*p - 2*p = -3*h - 407, -n*h = -3*p + 241. Suppose -m = -b + p, 3*b = -4*m + 83 + 163. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 293318 and 145928.\nAnswer: 1258920856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x + 1638 + 3*x**4 - 3256 + 1622 + 11*x**2 to i*x + a*x**4 + o + m*x**2 + f*x**3 and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3979?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4188 is divided by 679.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 452594800?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*j - 12*j + 25*j - 2.\nAnswer: -5*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 712258.3kg in tonnes?\nAnswer: 712.2583","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 + 21*z + 2. Suppose 9*h = 18*h + 189. Let m be a(h). Find the third derivative of -394*u**2 - m*u**4 + 383*u**2 + 5*u**4 wrt u.\nAnswer: 72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 197855137 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 2*h = 66, 0*y = y - 4*h - 24. Calculate the smallest common multiple of 20 and y.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1031767, -4127008, -9285743, -16507972, -25793695?\nAnswer: -37142912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, -42, 14 in descending order.\nAnswer: 14, -1, -5, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**5\/3 - 416*c**4 = 0.\nAnswer: -624, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -23*r**2 + 1. Let y(v) = -124*v. Calculate y(q(w)).\nAnswer: 2852*w**2 - 124","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 119855?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 367 divided by 3538724\nAnswer: 367\/3538724","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3\/4 (b) -27 (c) -5 (d) -691\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/73, 63, -2\/27, 4, -0.5, -5?\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 - 12. Suppose -5*j + w = -4. Suppose 12 = j*c - 38. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 81\/2 - 40. Let t(m) be the first derivative of -3*m + r*m**4 + 4 + 0*m**2 + 0*m**3. What is the derivative of t(d) wrt d?\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21250.9999987945 + -21251. Round q to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31431591 to the power of 1\/2, to the nearest integer?\nAnswer: 5606","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 496651 = 1337*o - 1293*o + 110463. Does 6 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -2*c - 8 + 27, -5*d - 2*c = -206 for d.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -g**6*j + 19*g**3*j + 7*g**2*j - 2*g - 2*j wrt g.\nAnswer: -120*g**3*j + 114*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -331874*w**3 - 5*w**2 + 11*w - 28. Suppose 0 = p + 5*z + 11, 3*p - 4*z - 15 = 9. Let b be c(p). What is b rounded to the nearest 1000000?\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9.1 + 1.6. Let p = 1.5 + k. Let v = p - -5. Which is greater: v or 5\/8?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 33890398*q**2 - 18827646*q wrt q.\nAnswer: 67780796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -3*s**2. Let a(x) = -17*x**2 + 86*x + 29. Give a(w(g)).\nAnswer: -153*g**4 - 258*g**2 + 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of s**5 + 75737*s**3 + 5*s**2 - 1417705*s.\nAnswer: 20*s**3 + 454422*s + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 953.3 rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1555?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 229379060 rounded to the nearest 100000?\nAnswer: 229400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 5*i = 3*r + 24, 0 = -2*i + 8. Let c be (-785699982)\/(-81) + r\/(-9). What is c rounded to the nearest one million?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + -1. Let g = v - -3. List the prime factors of 10\/((-1)\/(g\/4)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -54, -4, 46, 96?\n\"Answer: 50*v - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**2*o*o)**(11\/5) assuming o is positive.\nAnswer: o**(44\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h. Let a(b) be the first derivative of -b**4\/6 + 5*b + 3. Let m(o) be the first derivative of a(o). Calculate m(l(y)).\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 403550 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1927975 and 6095.\nAnswer: 102182675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 56 + -52. Find the common denominator of 51\/4 and -97*(-3)\/(-33) + j.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*j**3 + j**3 + 3*j**3 + (-5*j**2 - 4*j + 4*j)*(-j - j + 0*j) - j**3 - 2*j + 2*j - j**3 - 4*j + 4*j.\nAnswer: 17*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of -11*n**5\/60 + 5*n**3\/6 + 90*n**2. Let l(y) = 6*y**2 - 3. Calculate -5*l(f) - 3*u(f).\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_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: What is the second derivative of 59*s**3*z**2 + s**3*z - 2149*s**3 - 3*s*z**2 + 7*s + 121083*z wrt s?\nAnswer: 354*s*z**2 + 6*s*z - 12894*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -8*y + 48. Let u be (35\/2)\/7*(-2)\/(-1). Let z be b(u). Solve -4*v = 4*h + z + 8, 5*h + 14 = -3*v for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -3*j**3 + 2*j**2 - 2*j + 1. Let r be (-2 + 4\/3)*12. Let m(v) = -v**3 - 9*v**2 - 9*v + 7. Let q be m(r). Suppose 0 = q*o - 0*o - 15. Give z(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 25\/(-6)*(-3)\/(-60)*-6. Let w = 5 - 8. Suppose -3*z + 14 = -1. Which is the closest to -1? (a) z (b) y (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (-18 - 0) + (129 - 155)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-2\/125)*i**21)\/(i**45)**(-40) assuming i is positive.\nAnswer: i**(227748\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 5. Suppose d*p + 5 - 18 = -3*y, -3 = -3*y. Suppose -5*z = -p*b + 4*b - 2000020, -3*b - 2*z - 5999992 = 0. Round b to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26 - 26.26. Let g = 0.260011 + s. What is g rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3499.29*-0.5\nAnswer: -1749.645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*r + 9 = -5*s - 5*r, -2*s - 4 = -r for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -95697, -191439, -287229, -383073, -478977, -574947, -670989, -767109?\n\"Answer: -g**3 - 18*g**2 - 95681*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 m when two letters picked without replacement from {l: 1, n: 1, f: 1, z: 2, m: 1, g: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 + 13*z**2 - 12*z + 14. What is c(12)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -64*i**5 + 208*i**4 + 20*i**3 - 497*i**2 + 98*i + 343.\nAnswer: -(i + 1)**2*(4*i - 7)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16370, 16299, 16230, 16163?\nAnswer: 16098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58, -86, -162, -310, -554, -918, -1426?\nAnswer: -2102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of 1\/12*i**4 + 0 + 0*i**3 + 3*i + 0*i**2. Let u(x) = 0. Calculate x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (612\/5)\/(37458\/10405).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 3*h - b, 40*b = -5*h + 42*b + 23 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -14.8*42814\nAnswer: -633647.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of -s**7\/7 + s**4\/3 + s. What is the third derivative of k(h) wrt h?\nAnswer: -360*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -101\/4, 218?\nAnswer: 218","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n**2 - n + 0*n**2 + 7*n - 13 + n. Let a be i(-5). Solve -a*h = -6*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -974 - -974. Let f = 14 - 14.9. Which is greater: w or f?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 5 = -3. Let l(h) = -1 + h + 3*h + h. Let j(x) be the third derivative of -7*x**4\/12 + x**3\/3 - 19*x**2 - 6*x. Calculate i*l(p) - 3*j(p).\nAnswer: 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/66*2*(-18)\/6?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 39580967 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 + 7*r**2 + 9*r - 3. Let d(h) = -h**3 + 18*h**2 - 18*h + 14. Let j be d(17). Calculate the lowest common multiple of 84 and u(j).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 7:41 AM?\nAnswer: 11:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/624 and -55\/144.\nAnswer: 1872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 PM and 10:35 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -620 - -130433?\nAnswer: 128713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 11 + 2 = 5*s, 4*s = 2*y - 6 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 4, 37.\nAnswer: -6, 4, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqbcqqbqbqccqqbqc. Give prob of picking 2 c and 2 b.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 5343.876 kilometers?\nAnswer: 534387600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(256)*1 - (sqrt(32)*1)\/sqrt(8))\/(-1*(-2*sqrt(490) - sqrt(10))\/sqrt(5)).\nAnswer: -7*sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -391*l**3 + 130*l**3 + 126*l**3 + 130*l**3.\nAnswer: -5*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-8))\/(3\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 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: Solve 1428 = 449*x - 4409 for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {w: 1, v: 6, o: 10}?\nAnswer: 45\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (44\/(-14) - (-3)\/21)*-2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*d = -5*d + 64*d + 200 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - d - 4 = 0, -3*g + 43 - 47 = -d for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 PM and 9:46 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-4 + (4*sqrt(20) - sqrt(5)))**2 + ((sqrt(5)*-2*6)**2 + sqrt(5) - (-1*sqrt(605))**2).\nAnswer: -279*sqrt(5) + 1420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5333 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49298 is divided by 159?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -18, -48, -92, -144, -198?\n\"Answer: y**3 - 13*y**2 + 2*y - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.34126686 rounded to 2 decimal places?\nAnswer: -21.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/11, -2409, 122\/5 in decreasing order.\nAnswer: 122\/5, 4\/11, -2409","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -9*m - 9. Give v(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2a336758 - -3?\nAnswer: -2a336755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 887535603 to the nearest integer?\nAnswer: 961","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 448?\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 513642209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m - 1. Let z be k(2). Suppose -3 = z*g - 3*y + 6*y, -3*y - 15 = 0. Let n(u) = -3*u**3 + 5*u**2 + 4. Let t be n(g). Round t to the nearest ten.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -2*k - 1, -2*k + 6 = 5*w - k. What is the fourth biggest value in w, 0.2, 0.4, 3\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31247 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + r - h = 24, -5*r + 5*h + 40 = 0. Let f(g) be the third derivative of g**4\/6 + 7*g**3\/6 - 4*g**2 - 1. List the prime factors of f(r).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -285486819.62 take away 0.3?\nAnswer: -285486819.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, y: 2, b: 1}. Give prob of sequence yv.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 + 13*t**2 - 16*t + 5. Calculate d(-14).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -148, -270, -480, -778, -1164, -1638?\nAnswer: -2200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 90 - 88. Solve q = 2*q + 3*u + 5, 20 = -4*q - d*u for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = w + f + 7, 6 = 2*w + f. Suppose -y = w*y - 42. Solve 2*u = -1 + y for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8213347352?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 37 - -4. Calculate the remainder when r is divided by (-70)\/(-25)*(-2 - -10 - 3).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*o - o - 2*o)*(-3*o**2 + 5*o**2 - 4*o**2) + 2*o**3 - o**3 + o**3 + 11 - 9 + 0 + o**2 - 3*o**3.\nAnswer: -5*o**3 + o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2234\/9 - -248. Which is the second biggest value? (a) j (b) 0.1 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136018523 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2 + ((sqrt(120)\/sqrt(4) - sqrt(30) - sqrt(30)) + sqrt(30))\/sqrt(10)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 4*i = 34, -1732*i = -3*q - 1731*i - 34 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 22 = 5*a, a + 17 = 3*c - 3*a. What are the prime factors of 12*-1*c + -1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) 1\/5 (b) -3\/4 (c) 0 (d) -2\/29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13213674 is divided by 612?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 15 = -4*o + 1, -2*r + 8 = 0. Let y be o\/(-8) - ((-82)\/(-8) + -5). Let q(g) = 11*g**2 - 2*g. Let n(s) = 10*s**2 - 2*s. Calculate y*q(l) + 7*n(l).\nAnswer: 4*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - (-19)\/((-19)\/6). Let n be (17\/(-340))\/((-3)\/o). Let u = -31\/95 - -10\/19. Sort u, 0, n in increasing order.\nAnswer: n, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1517 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-26)*z**26*(z*z\/(z**(-2\/13)\/z))**5 assuming z is positive.\nAnswer: z**(205\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q**2 + 67*q - q**2 + 4*q**2 + 5 + 5.\nAnswer: q**2 + 67*q + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-19)\/(-57))\/((-22)\/319 - (-715)\/8265)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17.02 - 0.48. Let a = m - -3.5. Let i = -13.911 - a. What is i rounded to 2 dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1386 - 790. Let m = j - 596.00848. Round m to 4 dps.\nAnswer: -0.0085","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/j**(-2\/5))\/j**7)\/((j**5*j)\/j**(-4\/3)))**(5\/4) assuming j is positive.\nAnswer: j**(-97\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*w + 12*w - 232. Let x = w + -56. What is the third derivative of -2*o**6 - 3*o**6 + 2*o**x - o**2 + o**6 wrt o?\nAnswer: -480*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 3*r + 45 = 0, 0 = 4*c - r - 48 - 21. What is the highest common factor of 234 and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -6*u. Let k(t) = -176488*t. Calculate z(k(f)).\nAnswer: 1058928*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of d**6\/36 + 59*d**3\/6 - d**2\/2 - 64*d. Let x(o) be the second derivative of a(o). Let q(y) = -10*y**2. Calculate x(q(b)).\nAnswer: 1000*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 - 4*j + 2. Let y(s) = -2*s**2 + 7*s - 2. Let u(z) = 5*o(z) + 3*y(z). What is u(-4)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 438392746?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 4*k + 4*k)*(-3 - 1 - 4)*(k - k - 2*k).\nAnswer: 112*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j + 13. Let w be h(-8). Let p = 141 - 137. Suppose -w*y - 5*s = -4*y - 24, -s + p = 0. Solve y*g = 4*a - 12, 3*a - 3 = -2*a - g for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*a - 535*a - 952*a - 6880 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((-2*(sqrt(99) + (sqrt(99) + -1 - sqrt(99) - sqrt(99)))*1)**2 - -6*(1*sqrt(99) + 5)**2).\nAnswer: 180*sqrt(11) + 745","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 - 9*k**2 - 14*k + 15. Let p = -121 - -114. Let m be j(p). Which is greater: m or 14?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5847652?\nAnswer: 2, 1461913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136196 is divided by 5042?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/9, 2\/11, -1, 5, -0.053, -0.66?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -1422*u + 38704. Give m(26).\nAnswer: 1732","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 PM and 8:41 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9941773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -53957.85 - -53953.3500001. Let p = 4.5 + y. Round p to 7 decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -613*b**2. Let t(y) = -20*y + 2. What is l(t(z))?\nAnswer: -245200*z**2 + 49040*z - 2452","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-116 + 294 + 287 - 59)*(3*v - v + 0*v) as n + j*v and give j.\nAnswer: 812","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-27148)\/7191 - (-3)\/(-9). Let p = i - 2\/799. Calculate the common denominator of 10\/(2\/5*2) and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1712 = 5*p + 468. Let h be 15*-500*(-4 + p). Suppose 0 = -f + 2*f + h. Round f to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = p + 18, 3*p + 4*r + 723 = 733 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2\/11 + (15 - 4140\/264)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 6, 0, 2 in descending order.\nAnswer: 6, 2, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 12011 (base 3) in base 15?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -114c242 (base 13) in base 15?\nAnswer: -706e52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1981\/36 - -484\/9. Which is the nearest to v? (a) -1\/8 (b) 1 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 AM and 6:18 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10326642 and 24.\nAnswer: 41306568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -20*(-6)\/24?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*i + 5*i + 2*i**2 - 3*i**2 to u*i**2 + s + d*i and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1232345 (base 8) in base 5?\nAnswer: 41404341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3513, 6958, 10403?\nAnswer: 13848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 + 9*s**2 + 7*s. Let y be n(-8). Suppose 0 = -j - 0*j + y. Suppose 0 = 2*u - j + 4. Solve 7*i + 20 = u*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167307181 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*i - 1666 = -20*i for i.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.22 + -0.11. Let x = -16 - -11.11. Let c = l - x. Sort -5, 3, c in descending order.\nAnswer: c, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87124327 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-84)\/9*(-1386)\/(-14784).\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 5681?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 72, 113, 180, 273, 392, 537?\nAnswer: 708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4056 + 10063. Suppose -7*c + k + 13362 = 0. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -6. Suppose -3*x = t*x - 12. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1088*c**2 - 1088*c**2 + 2173*c**2.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 92*l*q**3 - 3328*l + 25*q**4 + 4 with respect to q.\nAnswer: 276*l*q**2 + 100*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*o - 235*o**3 + 118*o**3 + 124*o**3 + o**4 in the form y*o + w + l*o**2 + d*o**3 + v*o**4 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35732545?\nAnswer: 5, 641, 11149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2387563 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 53. Let f(j) = -33. Let g(m) = 8*f(m) + 5*y(m). Suppose 4*x = -4*v - 28, -7*v = -2*v + 20. Let b = 4 + x. Let c(a) = 2*a + 4. Give b*c(w) - 4*g(w).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uqvqqtqqq. What is prob of picking 1 t and 1 q?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o and 1 e when four letters picked without replacement from {e: 2, o: 3}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + 0 - (1 + 8 - 4).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 + 3*f**2 - 3*f - 1. What is the units digit of t(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -52\/5, -4, -3, -228, 1\/6, -81?\nAnswer: -52\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19525110.10012 + 19526214. Let m = l - 1104.2. Let o = m + 0.3. What is o rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -32*w - 119. Let j be -9 - 13\/(39\/(-6)). What is the tens digit of x(j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2041905189 rounded to the nearest 100000?\nAnswer: -2041900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/5 + 8*z - 18\/5*z**2.\nAnswer: -2*(z - 2)*(9*z - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26 is divided by (-130)\/(-15) + (-2)\/(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.16689+-683658\nAnswer: -683657.83311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 116274 (base 14) in base 4?\nAnswer: 2100310232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(3\/13)*k*k**(-3\/4))\/((k**4*k)\/(k**(-14)\/k)))**(-26))**(1\/46) assuming k is positive.\nAnswer: k**(1015\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 10*i = -9, -5*n + 52834 = 3*i. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 736029740 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: Round 119700000 to the nearest 1000000.\nAnswer: 120000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 341 is divided by 113?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -9*z + 15. Let p(w) = 1. Calculate -o(m) + 18*p(m).\nAnswer: 9*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l + 5*z = l + 20, z + 8 = 2*l. Calculate the least common multiple of 10 and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.1 minus 241?\nAnswer: -245.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -4*r + 5*r - 2 + 18*r - r. What is the remainder when k(2) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(z\/(z*z**0)))*z*z*z)\/((z*z**2)\/z)*(z*z\/((z*z**(2\/9)*z)\/z))**34 assuming z is positive.\nAnswer: z**(247\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 46 - ((3 - -9) + -1) - (-10 + 1)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 274806418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/(v\/(v**(-1\/3)*v)))*v*v\/(v\/v**3))\/(v\/(v\/(v*v*v\/v**1*v)*v)*v*v**(-9)) assuming v is positive.\nAnswer: v**(31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 149224884 to the nearest 10000.\nAnswer: 149220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -2490.9\nAnswer: -2489.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 25, 1, -5, 11 in descending order.\nAnswer: 25, 11, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -284 + 301. Are 17 and m non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/2 of a tonne in kilograms?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25681\/21 - 1223. Which is the closest to -1? (a) o (b) 4 (c) 3\/4 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4655687 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) 46\/101 (c) -2.83\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 329444305?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/((0 + 2)\/(-2)). Let j(k) = 8*k**3 - 3*k**2 + 3. Let l(g) = g**3 - g**2. Let z(c) = y*j(c) - 3*l(c). Differentiate z(d) with respect to d.\nAnswer: 15*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2533 times -1?\nAnswer: 2533","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b. Let r(u) be the first derivative of 19*u**5\/120 - u**3 + 7. Let z(c) be the third derivative of r(c). What is z(m(l))?\nAnswer: -19*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14660 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1895971361?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18 in -0.2, 13, 1\/26, -43?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8748071 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: What is next in -9336, -12300, -17240, -24156, -33048?\nAnswer: -43916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/22 - (-153738)\/365365?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2916778566?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 9) in base 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2\/27))**(-10)*(i*i**(-2\/11)\/i)**(4\/5))**(-2\/9) assuming i is positive.\nAnswer: i**(-1768\/13365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13 or -18761?\nAnswer: -18761","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - -15075270?\nAnswer: 15075272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + 5 - (-5 + 17 + -6). Let n(q) = 0*q**2 - 1 - 2*q**2 - 4*q**2. Give n(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 16*t**2 + t - 1. Let w = 62 - 61. Let o be k(w). Suppose 4*f + 0*q - 2*q = 18, 3*f - q = o. Calculate the highest common divisor of 14 and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -59 + 11. Let q(x) = -d + 19*x - 4 - 6. Is q(9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 4 = -2. Let r be -6*8\/(-48)*-503. Let y = -2511\/5 - r. What is the closest to w in y, -1\/4, 2\/9?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1305 - 4?\nAnswer: -1313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8213759 and 0.4.\nAnswer: 3285503.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/20 + 84\/(-240). What is the nearest to 9 in n, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1540 + -1532.54. Round t to 1 decimal place.\nAnswer: 7.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4870873539 to the power of 1\/2, to the nearest integer?\nAnswer: 69792","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 22*a**3 - 52*a**2 + 12*a - 54. Let o(g) = -9*g**3 + 21*g**2 - 5*g + 22. Give -12*o(y) - 5*p(y).\nAnswer: -2*y**3 + 8*y**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j**3 - 5*j**2 - 5. Let m = -6 + 9. Let u(c) = 3*c**2 - 3 - m*c**3 + 6 + 2*c**3. Determine 3*t(i) + 5*u(i).\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -34 (b) -2\/29 (c) 0.006\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2 = 1. Let z be 0 + -1 - (-2 - f). Solve 0 = -z*a + a + 4 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 31 * -73.\nAnswer: -2263","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/12641 and -45\/14636.\nAnswer: 185013676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 2*b - 1, 2*r + 8 = 5*b + 1. Let d(o) = 11*o**2 - 5. Let k(z) = -12*z**2 + 6. Let w(y) = -6*d(y) - 5*k(y). Give w(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 80195, 163714, 247233?\nAnswer: 330752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -680847*q. Let k(l) = l**2 + 12*l. Calculate s(k(g)).\nAnswer: -680847*g**2 - 8170164*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 - 13*c + 4. Let y(z) = -2*z**2 + 14*z - 5. Let u(j) = -5*x(j) - 4*y(j). Find the second derivative of u(q) wrt q.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 133819?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4827543858 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from tcyttnccntnt.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 44 and 209?\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w - 3. Let p be y(-6). Let g(m) = m**3 + 5*m**2 - 5*m + 8. Let s be g(-6). Let l(n) = -2*n**s + 1 - 2*n + p*n**2 + n. Calculate l(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -246, -324, -402?\n\"Answer: -78*n - 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (0 + 6*(-1*2*sqrt(17) + sqrt(2057)*1))*-6 + -1.\nAnswer: -324*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ikqiiveiiviinqinkini. What is prob of picking 1 n, 1 v, and 2 k?\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -42030*u + 42075*u + 1395 for u.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 37841116 to the power of 1\/2, to the nearest integer?\nAnswer: 6152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*w**5 - w**5 + 0*w**5 + (-2*w + w + 3*w)*(3*w**4 + 4*w**4 - 5*w**4) - w**2 + 2*w**5 + w**2 + 0*w**5 + 0*w**5 - 2*w**5 + 9462 + 9*w**4 - 2*w**5 - 9462.\nAnswer: -3*w**5 + 9*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 6\/8 + 5*49\/(-252)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-57) + 726\/2926. Sort 1, 1\/5, n.\nAnswer: n, 1\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20531 - 20481. Solve 33*v + m = 8*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42 divided by 8658\nAnswer: -7\/1443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/2 and 79\/117?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of -5*h**2\/2 - 58*h - 1234. What is b(-16)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: 0 + (0 + 1 - -5) - (-1606 - -1587)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 220 divided by -5?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1486 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 + -4 + 50 - 3. Let k(g) = -50*g - 1 + 2*g**2 + 3 + t*g. Let z(d) = d - 1. Calculate k(l) + 4*z(l).\nAnswer: 2*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -6 - (-45)\/9 - 4040\/(-3996). Which is greater: d or -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 310 = 197*x - 194*x, -5*x + i = -505. Solve -6*g + x = 130 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (45*10\/(-60))\/6. Let j be (-4)\/(-1)*6\/(-36). Which is the closest to j? (a) -2\/17 (b) 0.5 (c) 1\/3 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44 divided by -318.\nAnswer: 22\/159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4203 is divided by 840.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.6249 * -0.3.\nAnswer: 0.18747","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3.820962 weeks?\nAnswer: 2310917817.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6 + -3 + 3 - (9 + -5). Suppose i - 2*r = 1, -7*i + w*i - r = -27. Solve -2*z + 3*z = 2*x, -i*x - 5*z = 30 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7.7 times -3\nAnswer: -23.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (0 - 81710)*(574\/20 + -29).\nAnswer: 3, 8171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11591766 is divided by 1281.\nAnswer: 1278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(800)*-1)\/(sqrt(50)\/(sqrt(10)\/sqrt(2))) - (sqrt(30)\/(sqrt(6)*-3) - (2 + sqrt(5) - sqrt(5))*1)**2)*1.\nAnswer: -16*sqrt(5)\/3 - 41\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 400 and 14600?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is a1a081 (base 15) in base 7?\nAnswer: 122156362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12.3 - 13.16. Let w = h + 1.86. What is the smallest value in 1\/4, w, -6, -2\/9?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 16*g - 3 + 10*g + 3 in the form i + r*g and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n**2 + 47*n**4 - 2*n**3 - 17 - 1 + 21 to d*n**3 + p*n + v*n**2 + r*n**4 + w and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**(-4)*c*c)*c**(-1))**(-17) assuming c is positive.\nAnswer: c**(-34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (-19 - (-3 - 10))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1723 - 1719. Solve -4*h - 17 - 16 = 5*m, -5*h = -j*m - 10 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14331*z + 5916*z - 9321*z - 28181*z.\nAnswer: -45917*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r\/r**7)\/r*r)\/r*r)\/(r**2\/r))**28\/(((r\/(r*r\/r**(-13))*r)\/r)\/r*(r\/r**(-2\/57))\/r)**13 assuming r is positive.\nAnswer: r**(-83\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28\/5 - 94\/15. Which is smaller: b or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(4\/3)*g**(3\/8))\/(g*g**(-1))**(-17)*((g*g**0)\/g*g**3)**(-2\/7) assuming g is positive.\nAnswer: g**(143\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*b + 134763 = 28657. What are the prime factors of b?\nAnswer: 7, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 942550 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 104210 to the power of 1\/2, to the nearest integer?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14615801.\nAnswer: 17, 131, 6563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 380*k**2 - 51*k + 154. What is the tens digit of l(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, t: 3, f: 4, j: 1}. Give prob of sequence dt.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 1:59 AM?\nAnswer: 2:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-1) + -3 - -26. Suppose 0 = 3*t + 3*m - 3, -t + 4*m + n = t. Calculate the greatest common factor of 10 and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22549 - 22552. Let w(a) = -15 + 4*a + 2*a + 14 - 2*a. Determine w(m).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*f + 37412 + 124753 = 38745. What are the prime factors of f?\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4718?\nAnswer: 2, 7, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 35*x**3 - 76*x**3 + 2 - 37*x - 4*x**2 - 4*x**2 + 38*x**3. Let d be m(-4). Which is bigger: d or 213?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-439 + 248 - 114 - 893)*(-2*a + 0 + 0) + 0*a + a + 5*a.\nAnswer: 2402*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -93725 + 93730.1043. Let g = -110.1 + 105. Let w = y + g. Round w to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -6*g + 33 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dduuuu. Give prob of picking 1 d and 3 u.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i\/(i\/i**(-3\/5)*i))*i*i*i**(4\/3) assuming i is positive.\nAnswer: i**(89\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 103 - y**3 - 666*y**2 + 667*y**2 - 16 as v*y**3 + u*y + p*y**2 + j and give j.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26 - -2. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7250\/(-500))\/((-14)\/((-112)\/2))\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = -2*o + 3*y - 6, -5*o - 12 = -3*y for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24448234 is divided by 1667?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -69856958*f**3 + 40714367.\nAnswer: -209570874*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 5*a**3 - 2*a**2 + 4*a - 1. What is the units digit of t(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*d + d + d)*(7 - 13 - 3).\nAnswer: 36*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 856.0949 centimeters in kilometers?\nAnswer: 0.008560949","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4337 a factor of 556705994?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 + 13*r + 34. Let v be p(15). Solve -2*z + 6 = 2*j, -7 = -v*z + 9 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 2 + 2. Suppose -4*v - d = -3*v. Let x be ((-6)\/v - 2)*0. Are -1 and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vxxxxhvxv. Give prob of picking 1 h and 3 x.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/1329000 and -83\/450.\nAnswer: 3987000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -1635*z - 1283. What is n(-1)?\nAnswer: 352","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/259)\/(1\/2).\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06592 take away 0.05?\nAnswer: 0.01592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 3*n**3 + 17*n**2 - 17. Let m(f) = 13*f**3 + 69*f**2 - 67. Let d(a) = -2*m(a) + 9*q(a). Let u(r) = r**3 - 5*r**2 - 5*r + 10. Let o be u(5). Give d(o).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*m - 9*m = 43*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (94 + (-8 - 10) - -17)*(-4)\/6?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -649, -2092, -4337, -7384, -11233, -15884, -21337?\nAnswer: -27592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2987*t - 87118. Determine v(29).\nAnswer: -495","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 73177250*u**3*z**2 + 2*u**3*z + 13929746 wrt z.\nAnswer: 146354500*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20174 and 1310.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 105 + -219. Let r = 62577\/10 - 6251. What is the common denominator of ((-6)\/(-18))\/((-20)\/h) and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86334 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -941772.48 to the nearest 1000.\nAnswer: -942000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*n - 47*l + 83 + 123, n - 2*n = 4*l + 1 for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 212*l**2 + 295 - 295 + (-11*l + 12*l - 20*l)*(-2*l + 1 - 1).\nAnswer: 250*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -2, 0.08, 0, -0.12, -0.022?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 1 + (-3)\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, p: 3, i: 3}. What is prob of picking 1 i and 2 p?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 88 and 718?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 1 = -3*v + 19, -3*z = 3*v - 48. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a + 2*a**2 - a**3 - 2*a**2 + 14 + a**2. Suppose 2*g + g = 30. Calculate the lowest common multiple of g and v(0).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + -1. Let w(u) = 31*u**2 - 2*u - 4. Let f(n) = 19*n**2 - n - 3. Let z(j) = -5*f(j) + 3*w(j). Give z(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15623 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*g**2 + 0 + 0)*(-194*g - 202*g + 399*g - 49) to the form a*g + r*g**2 + q + s*g**3 and give r.\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2156 and 2569.\nAnswer: 791252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + t**2 - 6*t - 3. Let w be i(-5). Suppose -z - 60 = b, 0*b - w = 3*z + 4*b. Does -60 = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3150 - 29340 = -1746*d for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -37.4 * -741\nAnswer: 27713.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 73*f**2 - 4. Let c be n(2). Suppose 8*x = 11*x - c. Is x a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of f**5\/390 - 5*f**4\/156 + 4*f**3\/39 - f**2\/2 + 104*f + 101. Let h(r) be the second derivative of j(r). Factor h(a).\nAnswer: 2*(a - 4)*(a - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 169*y - 673. Let k be x(4). Find m, given that 2\/15*m**k + 0 + 0*m**2 + 0*m = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 0 + 5*b**2 - 2*b**2 - 3 to the form q*b**2 + p + j*b and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 8, -145 in descending order.\nAnswer: 8, 6, -145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -4*i**3 + 28*i**2 - 21*i. Let w(o) = 36*o**3 - 252*o**2 + 188*o. Let c(r) = 28*s(r) + 3*w(r). Factor c(x).\nAnswer: -4*x*(x - 6)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22638293?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 11*d + 4. Let k(g) = -2781*g + 1390*g + 5 + 1403*g. Give -6*a(t) + 5*k(t).\nAnswer: -6*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -994 + 1094. Calculate the remainder when r is divided by 39.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89937.29 centuries to millennia.\nAnswer: 8993.729","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/54*15)\/((-25)\/(-90))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -11 and -11.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ouo. Give prob of picking 2 o.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-5) - (-816)\/(-170)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 493*s**4 + 4*s**3*z**2 + 2*s*z**2 + 404*s*z + 2*z + 3 wrt s?\nAnswer: 5916*s**2 + 24*s*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*k*u**4 - 3*k*u**2 - k*u + 78*k + 129*u**6 - 8*u**2 wrt u.\nAnswer: -216*k*u + 15480*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 6 + (114 - 115) - -8\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y + 28 + 27 = 0. Are -1.1 and y unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 76 + -70 + (-7 - 0)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 67 + -62. Let h be (-91)\/39*(4 - 2 - g). Sort h, 9, -1 in descending order.\nAnswer: 9, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 810097.\nAnswer: 67, 107, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -15855, -38485, -61115, -83745, -106375?\n\"Answer: -22630*c + 6775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2597\/(-2) + 38\/76)\/2. Which is smaller: h or -650?\nAnswer: -650","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*2\/21*1323\/54*(-7)\/1.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of t**3*u**2 - 33*t**3*u - 92*t*u**5 - u**5 - 3*u wrt u?\nAnswer: 2*t**3 - 1840*t*u**3 - 20*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 + 0 = 5*w. Let r be (4\/(-8)*6)\/1 - w. Suppose 5*l - h - 2*h - 21200006 = 0, 0 = r*h + 6. What is l rounded to the nearest one hundred thousand?\nAnswer: 4200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j, -4*r + 0*j = 4*j. Let t = -1\/4 + r. Sort t, 12, -2.\nAnswer: -2, t, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1261?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004147 rounded to five dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2961229839?\nAnswer: 3, 8501, 116113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -55*j + 116 - 23*j - 62 - 55 in the form m*j + i and give m.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1626 and 11807470?\nAnswer: 542","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 5*t + 1308 = 0, t = -z + 4*t + 327. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-3\/2)\/(q*q\/(q**(-7)\/q)*q))\/(q*q**(-3)*q*q\/(q*q*q*q**(3\/2))))**(-21\/4) assuming q is positive.\nAnswer: q**42","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 164137 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + 100*v**2 - 476*v. Let t(s) = -s**3 + 200*s**2 - 951*s. Let l(d) = 9*k(d) - 4*t(d). Determine q, given that l(q) = 0.\nAnswer: 0, 8, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u**3 + 46*u**4 - u**2 - u + 3*u + 0*u - 15*u**4 in the form g*u**3 + n*u + a*u**4 + i*u**2 + z and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 192 + -93. Suppose t = 2*f - 149. Does 25 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64618 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {m: 5, y: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2176.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -83\/8 + 43725\/4216. Suppose 10 = -2*q, -3*h + 33*q - 22 = 38*q. Do f and h have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -5*a**2 - 3*a - 2. Let p be v(3). Let w be (-2 + p\/(-20))*10. Is (316\/w)\/((-1)\/(-2)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (12\/7)\/((-8)\/(-84)). Suppose 4*s - 5*k + 60 = 0, -2*s + 45 = -5*s + 3*k. What are the prime factors of (5\/s)\/((-1)\/a)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1065, -2172, -3305, -4476, -5697, -6980?\n\"Answer: -2*w**3 - w**2 - 1090*w + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002861484401 to 7 dps.\nAnswer: -0.0028615","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*2*sqrt(91) + sqrt(91) - sqrt(91) - sqrt(91)) + (sqrt(91) - sqrt(91)*-2*-6 - sqrt(91)) + sqrt(91))\/(sqrt(112)*-3 + sqrt(7) + 3*sqrt(28)).\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 - -0.24172.\nAnswer: 0.74172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -246, -2, -2\/7, 6, -3 in increasing order.\nAnswer: -246, -3, -2, -2\/7, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 10:02 AM?\nAnswer: 9:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13088 + 14*s**2 + 6544 + 6544.\nAnswer: 14*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10.6 in -3\/4, -8, 7, 4, 2?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, 831, 5 in decreasing order.\nAnswer: 831, 29, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2704757\/16 or -169047?\nAnswer: -169047","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -44 (base 5) to base 10\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 38215 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -264 divided by -2?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*a**5 + 8*a**5 + 5*a**5 + 19*a**4 - 19*a**4 - 31*a**5 + (-a**2 + a**4 + a**2)*(4*a - 2*a - a).\nAnswer: -24*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2030.35 + 1860. Let j = y - -1.35. Let s = j + 169.0000097. Round s to 6 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48463313 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + 0*y - y)*(2*y**2 - 3*y**2 - y**2) + y**3 - 4*y**3 + 5*y**3 + 5*y**3 + 0*y**3 + 8*y**2 - 3*y**3.\nAnswer: 8*y**3 + 8*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - d**2)*(1672 - 630 - 615 - 653)*(0 - 3 + 1).\nAnswer: -452*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -44, -15, 14, 43, 72, 101?\n\"Answer: 29*s - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28197\/(-723)*((-16)\/(-80))\/(3\/10).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3305 - 3133. Solve -m*l + 181*l - 9 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10113045 to the nearest one million.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 4, 3*d - 10278365 = 3*p - 3648377. Round p to the nearest 100000.\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -208 - 63. Let c = -143 - o. Does 47 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + x + 5 = 0, -2*x = -k - 0*x + 10. Suppose k = -i + 3*w + 15, 3*i - 4*w + 10 = 5*i. What is the lowest common multiple of 11 and i?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 9148, 13, 4 in decreasing order.\nAnswer: 9148, 13, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -644*y + 30164*y - 1436*y - 1352*y + 10898*y.\nAnswer: 37630*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(7) + -1)*-6)*-6 + 1 + 5*(((sqrt(252) + (sqrt(252) - (sqrt(252)*1 + sqrt(252) + sqrt(252))))\/sqrt(4))**2 + 0 + (sqrt(252))**2).\nAnswer: 36*sqrt(7) + 1558","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a centimeter in micrometers?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3384928 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: Which is the nearest to -1? (a) -5 (b) -2\/251 (c) 5 (d) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence be when two letters picked without replacement from {b: 1, e: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2153 by -33912.\nAnswer: 2153\/33912","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29795 and 6565?\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 24146479185.6 + -0.12?\nAnswer: 24146479185.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6 + (-3)\/(-12) + 14\/8. Let v(i) = -2*i**3 + i**2 - 3*i - 1. Let j(t) = -2*t**3 + 2*t**2 - 4*t - 2. What is o*v(f) + 3*j(f)?\nAnswer: 2*f**3 + 2*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80198 + 115126 = -2654*l + 94364 - 116668 for l.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-5) - 51\/(-15).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 2 + 3*(2 + sqrt(176)) - (((sqrt(275) + -1)*1 + (sqrt(275) - (3 + sqrt(275)*-2)))*-3)**2.\nAnswer: -39737 + 1452*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/j**(-1\/5)))\/j*j**(-3))**39\/((j\/(j**(-1)\/j))\/(j**(-1\/8)\/j*j))**(-38) assuming j is positive.\nAnswer: j**(-901\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -33 in -1\/5, 1, -4\/85, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -275224 divided by -8?\nAnswer: 34403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 47740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 PM and 10:35 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a litre in millilitres?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*v + 312 = -80*v. Suppose -j + 4*a = -4 - 15, -2*j + 3*a = -28. Let o = j - v. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11727)\/(-5212)*60\/(-18)*12\/(-435).\nAnswer: 6\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 39.68288 micrometers?\nAnswer: 0.003968288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(19)*-4 - ((sqrt(76)\/sqrt(2))\/sqrt(2))**2)*1.\nAnswer: -20*sqrt(19) - 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5007 + 5016. Suppose -2*l = 3*l - 405. What is the greatest common divisor of l and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2667 is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -109 and -327381?\nAnswer: 327272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 + 2*q - 4. Let o be 1\/(-6) - 11\/(-66). Let v be b(o). Let y be (2\/v)\/(5\/(-20)). Sort 3, 1, y in increasing order.\nAnswer: 1, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -134, -1199, -4178, -10055, -19814, -34439?\n\"Answer: -164*x**3 + 27*x**2 + 2*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1582427, -1582435, -1582455, -1582493, -1582555?\nAnswer: -1582647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 (base 15) in base 3?\nAnswer: 22100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*((-90)\/(-81))\/((-10)\/15). Solve -p*n - 14 = -2*m + 17, 18 = -3*n + m for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (u + 3 - 3)*(0 - 2 + 1)*(1 - 4 + 4)*(10 - 1 + 1) in the form r*u + s and give r.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -300, -583, -864, -1143, -1420?\nAnswer: -1695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4792\/7 + -691. Find the common denominator of j and 48\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -9\/4, 2\/3, -1.5, 0.016, 1, 3?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of k**4\/6 + 3*k. Let t(c) = 6*c**2. Calculate v(t(g)).\nAnswer: 72*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -171 = -35*s - 22*s. Which is the biggest value? (a) s (b) -137 (c) 0.2 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 PM and 3:50 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 + 78*g - 401. What is the smallest common multiple of u(59) and 8?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 - 4*a**2 + 2*a + 2. Let o = -53 + 30. Let y = 25 + o. Calculate n(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -61834, -61895, -61956?\nAnswer: -62017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 3*u**3 - 10*u**2 - 4*u + 7. Let q(c) = -5*c**3 + 14*c**2 + 7*c - 10. What is -7*b(l) - 5*q(l)?\nAnswer: 4*l**3 - 7*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3764 + 7242 = 3*l - 4*z + 3649, -5*l - 285 = -4*z for l.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 413 + -124. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11531 - 11433. Let l = 2339579965.0000247 - 2339580063. Let u = r + l. What is u rounded to 6 dps?\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -5*a**3 + 23*a**2 + 3*a - 44. Let i(q) = 26*q**3 - 113*q**2 - 15*q + 226. Let f(v) = -2*i(v) - 11*y(v). Give f(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, f: 7}. What is prob of sequence fqq?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 - 4*m**2 - 3*m - 7. Let j be w(5). Determine x, given that 12*x**j - 6 + 6*x**2 - 7*x - 3*x**5 - 5*x + 3*x = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3888 and 27378.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 6*b + 9*b = 3, -4*b = -3*d - 1 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(136) + (sqrt(136) - (sqrt(136) + -3*sqrt(136))*-1)))\/(sqrt(64)\/sqrt(72) - 4*(sqrt(8) - sqrt(128))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 8\/8) + 5\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/11567860 and 47\/457334?\nAnswer: 196653620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 72.81 + -72.31. Which is the nearest to 6? (a) 9 (b) -5 (c) p (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hcc when three letters picked without replacement from imhcclhcilgllll.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-2)*1*(-6)\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3867063 and 348.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-17)\/(-4) - 2\/8. Let b be n\/12 - 2\/(-3). Suppose 5*z - 5*p - 10 = 0, -z - 4 = -2*z + 2*p. Solve -2*x - b = s, z = 4*s + x + 2 + 2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*i**2 - i**2 + 3*i**2 + (3*i - 4*i + 3*i)*(0 - 2*i + 0))*(-5*i + i + 2*i)*(0 - 6 + 4) to s + r*i**3 + a*i + f*i**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -374 + 1176. What are the prime factors of g?\nAnswer: 2, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 0, -1, 80, -6, 5, 9 in increasing order.\nAnswer: -6, -1, 0, 5, 6, 9, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/40267 and 12\/5?\nAnswer: 201335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 6107073?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k + 0*k - k)*(-8 + 15 + 9)*(-3*k - 5*k + 2*k) + 0*k + k - 3*k - 3*k**2.\nAnswer: -195*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 51800 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-156)\/132*(-556)\/(-3614).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 30 = -82*c - 224, c + 244*i = 246*i + 10 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1473 is divided by 116?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21238 and 35.\nAnswer: 106190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*d = -6*d + 216. Suppose 2*c - d = 0, 2 = j - c - 0. Solve -j*y - 1 = -4*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rpp. What is prob of sequence ppr?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**3\/5 + 1872*d**2\/5 + 10922*d + 45300 = 0. What is d?\nAnswer: -906, -25, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2187 a factor of 2981601628?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((48\/168)\/(70\/(-196)))\/((-94)\/(-5))?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-88)\/(-352) - ((-86)\/40 + 2)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -377 divided by -525?\nAnswer: 377\/525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 29*m**2 - 93*m - 318. What is the lowest common multiple of f(-14) and 12?\nAnswer: 20004","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5372278933 from 68.\nAnswer: -5372278865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3848 is divided by 3703.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -3*k**3 + 4*k**2 - 2*k - 7. Let i(t) = -7*t**3 + 11*t**2 - 4*t - 18. What is -5*i(l) + 13*j(l)?\nAnswer: -4*l**3 - 3*l**2 - 6*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (-2)\/(-7 - -5))\/((-576)\/(-144)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109 is divided by 30.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 + -13.4. Let d = m + -5. Let h = d - -0.2. Is -1 >= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -111*p**2 - 2*p + 2. Let w(u) = -112*u**2 - u + 1. Let j(b) = 6*d(b) - 7*w(b). What is the tens digit of j(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 - 10. Suppose z = -5*o + 1116 + 539. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -13 and -50.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l. Let y be 20\/3*(-6)\/(-5). Let c(r) = 5*r**2 + 3*r - 3. Let x(s) = -14*s**2 - 8*s + 8. Let z(u) = y*c(u) + 3*x(u). Calculate t(z(k)).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**2 - 248712*b - 3866103684.\nAnswer: -4*(b + 31089)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11307.2, 0.4, -3\/8 in decreasing order.\nAnswer: 11307.2, 0.4, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -32, -171, -402, -725, -1140?\n\"Answer: -46*y**2 - y + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*k + 50 = -8*k. Let w = k + 10. Suppose -9*s - w = -13*s. What is the third smallest value in 3, s, -3\/4, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101012002 (base 3) in base 16?\nAnswer: -1d03","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4038656 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 r, and 1 g when three letters picked without replacement from {k: 1, z: 1, r: 1, w: 1, g: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of -r**3\/3 - 3*r**2\/2 + 1. Suppose -19*m - 16 = -15*m. Let c be n(m). Let p(o) = -o**2 - 4*o + 2. What is p(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1)\/(-3))\/(6\/(-63))*-12458 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 5:22 PM?\nAnswer: 1:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(2057) + 3*sqrt(2057) + sqrt(2057) + sqrt(2057) - (sqrt(2057)*1 + sqrt(2057) + -4))**2.\nAnswer: 440*sqrt(17) + 32937","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 19*p - 78. Let g be b(-9). What is the units digit of g\/(-2) - (5\/(-2) - -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of -3*w**5\/20 + w**4\/6 + w**3\/6 + w**2 - 5*w. Let b be o(2). Is 3 + 546\/(b\/(-4)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = 1677*y - 1673*y for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 5295.9 to the nearest 10.\nAnswer: 5300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 20910 divided by -123?\nAnswer: -170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 224*s**3 + 4 + s + 214*s**3 as o*s**3 + n + h*s + j*s**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -4. Suppose 3*o - 4*b + 0*b - 166 = 0, a*o - 112 = 3*b. Suppose 0 = -4*w - 9*c + 4*c + 43, 5*c = -5*w + o. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1585472.305 rounded to the nearest 100?\nAnswer: -1585500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w - 11520 = -30*w. Is w a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2614*a**3*m**3*s**3 + 4*a**3*s**2 + 4*a**2*m**2*s**3 - a*m*s**3 + 2*s**3 wrt m?\nAnswer: 15684*a**3*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 PM and 1:05 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, p: 1, a: 1, q: 2, l: 1}. Give prob of sequence rr.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 - -19 - (-3 - (-1 - (-23 + 3)))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -5. Suppose -9 = l*i - 5*b, 0*b = -3*b. Let u be (2 + 0\/i)*1. What is the second biggest value in 2\/21, u, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -113.6 - -116. Let x = -113.4 + w. Let c = x + 110.06. Round c to one dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -20*x + 18*x. Let c(k) = -4*k**3 - k**2 + 2*k - 4. Let f be c(x). What is the greatest common factor of 20 and f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.3727 + 0.2273. What is the second smallest value in 0.2, -5, 182\/3, o?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1*(sqrt(76) - sqrt(76)*2) + -3*sqrt(76)*5)\/((3*sqrt(252) + sqrt(28))\/((1*sqrt(70) + sqrt(70))\/sqrt(10))).\nAnswer: 48*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -481.9 - 4890992.7.\nAnswer: -4891474.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 8*r. Let u(o) = 8*o**2 - o - 4. Let y be u(2). Let x(a) = -2*a. Give y*x(b) + 6*i(b).\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 625 = -2*r, 0 = 4*r - r. Suppose 6*y = y + i. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1741 + -1601. What is the greatest common divisor of 308 and w?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 - 4*j + 1. Let o = -8 - -3. Let b be (-7)\/(-35) - (-16)\/o. Determine y(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 6 (b) -428 (c) -4 (d) -12 (e) -0.4 (f) -33.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 365 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 5 = 7. Suppose -9*h = 47 - 11. Are t and h equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 2*q + 10, 4*v - 12*q + 17*q = 25. Solve v = 10*j + 10*j + 80 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 755212 and 76.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5275740920 - 0.3.\nAnswer: -5275740920.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 31004772?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -483 + 483.4. Which is the nearest to -2\/7? (a) 2 (b) -0.0447 (c) -5 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 314 divide 2903758?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 PM and 3:24 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 79153*l**2*m - 2*l**2 - 508*l*m + m + 651301408 wrt m.\nAnswer: 79153*l**2 - 508*l + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - (-22)\/4)*96\/18. Suppose 0 = 35*z - x*z - 1870. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + j + r + 10 = 0, 2 = j + r for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 69563 + 4029. What are the prime factors of k?\nAnswer: 2, 9199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/9 (b) -3\/4 (c) 1110061\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 - (7\/(-2) - -1). Suppose -20*k - 25 = -21*k. Suppose -20*h - 10 = -k*h. Is a not equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 3*v - 6*v**3 + 2 - 4*v**2 - 9*v**3 + 16*v**3 - 6. Let z(r) = -2*r - 21. Let u be z(-12). Let j(c) = c**3 - 7*c**2 + 5*c - 7. Give u*j(o) - 5*d(o).\nAnswer: -2*o**3 - o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1503 or -1499?\nAnswer: -1503","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -155878461, -155878459, -155878457?\nAnswer: -155878455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320) - 3*2*sqrt(320) - sqrt(320) - (sqrt(320) - (sqrt(320) - (sqrt(320) - (1 + sqrt(320) + 4))) - sqrt(320)) - (0 + -3*-5*sqrt(320)*-2))**2.\nAnswer: 2000*sqrt(5) + 200025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (39\/(-6) + 2)*((-1904)\/6)\/4. Calculate the greatest common factor of 1479 and n.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0243 times 281?\nAnswer: 6.8283","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = -9*g + g for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4822711, -4822636, -4822441, -4822066, -4821451, -4820536, -4819261, -4817566?\nAnswer: -4815391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 173 at least 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 149, -77, 2?\nAnswer: -77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10425312*g**4 - g**3 - 19599982.\nAnswer: 41701248*g**3 - 3*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -112? (a) 8 (b) -1\/8 (c) -1 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 22735397 and 4.\nAnswer: 22735401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -16091, -32180, -48269, -64358, -80447, -96536?\n\"Answer: -16089*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((2 + (2*sqrt(14)*-5)\/(sqrt(56)\/(sqrt(8) + (sqrt(16)\/sqrt(2) - sqrt(8)))))*-2)**2.\nAnswer: -160*sqrt(2) + 812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c + 20. Let j = -3 - 12. Let f be x(j). Solve 3 = f*y + 13 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2946, -7\/524, 0.2, -1\/4 in increasing order.\nAnswer: -2946, -1\/4, -7\/524, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -118 (b) 481 (c) -0.64 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1826934498188 and 0.2.\nAnswer: 1826934498188.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 - 2*l + 3. Let q be 1\/(-1 - -3)*-6. Let h be -2 - (-4)\/6*q. Let a be j(h). Let m(i) = -2*i - 4. Calculate m(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1371 - -23315\/17. Is p bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10395)\/523908)\/(5\/(-8)).\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.05 + -6.05. Let s = -9 - r. Let p be 1\/3 - 13\/3. Which is the third smallest value? (a) p (b) s (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 - p. Let t(i) = i**2 - 1. What is 3*q(a) + t(a)?\nAnswer: -2*a**2 - 3*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2465?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-1\/2))\/t**(-9)*(t\/((t**(-3)\/t)\/t*t*t*t))**(2\/7) assuming t is positive.\nAnswer: t**(145\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-522)\/(-792) + 1 + (-7)\/4.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l**2 + 28*l + 8. Let d be y(-14). Solve d*k + 28 = -12 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.05, -1, 0.1.\nAnswer: -1, 0.05, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6 - 13) + 8\/1. Sort i, -2, 2, 17 in decreasing order.\nAnswer: 17, 2, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -306.5 + 313.8. Do 0.7 and z have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 + b + 6. Let q be i(3). Suppose 3*k + 3 = y, 4*y + 0*k = -2*k - 16. Put 3, y, q in descending order.\nAnswer: 3, q, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 - -184713.368?\nAnswer: 184713.668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of t*x**3 + 6*t - 227*x**3 wrt t?\nAnswer: x**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 4*c - 12 = 0, -5 - 14 = 3*y + 5*c. Suppose -5*j + y*p = -118, 4*j + 4*p = -j + 94. Solve 0 = -h, -3*o + 2*h - j = -10 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4800915 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -38 + 77. Suppose 4*a - 61 - 6 = -3*l, -3*a + 5*l + 14 = 0. What is the greatest common factor of a and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 3*b - 30, -3*n - 2 = 5*b - 36. Suppose -n*u - 1470 = -6*u. Let s = 707 - u. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 3*p = 4*z - 35, 2*p - 5*z = 54. Let s(x) = 14*x + 20*x - p*x. Let f(q) = 2*q. What is s(f(k))?\nAnswer: 34*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/315)\/(1\/(-3)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 - 14. What is the units digit of 112\/35*d\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -773 + a - 786 - 752 + 3025 - 2*a - 760.\nAnswer: -a - 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -47, -199, -453, -809, -1267?\n\"Answer: -51*q**2 + q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100*t - 2*t**2 + 2*t**2 - 1846*t - t**2.\nAnswer: -t**2 - 1746*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2*m - 14. Let h be o(-6). Suppose -3*j - 2*y - 4 = -0*y, 4*y - 28 = 3*j. List the prime factors of (3 + h)\/(j\/(-36)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 473295677?\nAnswer: 41, 521, 22157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 10:49 AM?\nAnswer: 8:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -78, -270, -584, -1026, -1602, -2318, -3180, -4194?\nAnswer: -5366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 5*l = -2*l - 51, -t = 2*l - 47. What is the greatest common divisor of t and 858?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00006952 to 6 decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 2 = 38. Let j = 10 + y. Put j, -3, 4 in ascending order.\nAnswer: -3, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + (-38)\/40)\/(13\/65).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45136?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 36.013 - 36. Let d = u + 2.987. Let o = -3 + 2. Which is the closest to o? (a) 4 (b) d (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2748957 + -537154. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 110*y + 6. Let d be f(7). Let a(i) = i**3 - 4*i**2 - 5*i + 3. Let n be a(5). Suppose 7*j = n*j + d. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.6 + -18.6. Let q = -14.7 - g. Let o = 2 + 1. What is the smallest value in 5, o, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -145*f**2 + 9*f - 117*f**2 - 165*f**2 + 528*f**2.\nAnswer: 101*f**2 + 9*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 0 + (-78)\/(-21)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1846, 3743, 5662, 7615, 9614, 11671?\n\"Answer: 2*h**3 - h**2 + 1886*h - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -14, -18, -58, -170, -390?\n\"Answer: -6*c**3 + 18*c**2 - 16*c - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 43898 divided by -2\nAnswer: -21949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 719 + 5?\nAnswer: 724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -307\/3 - -103. Factor 2\/3*f**2 - l*f**4 + 0*f**3 - 1\/3*f**5 + 1\/3*f + 0.\nAnswer: -f*(f - 1)*(f + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4, 2240, -1175, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27 - 22.9. Let m = 4.071 - j. What is m rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -77*r**6 + 2*r**5 + 85*r**3 + 14*r**2 + 215.\nAnswer: -9240*r**3 + 120*r**2 + 510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000268166576 rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2 + 1830276*u - 418738779522.\nAnswer: -2*(u - 457569)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 541.\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*v + 31*v - 5*v.\nAnswer: 55*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 573*o - 243*o + 591*o + 79100 = -209*o for o.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -11*f**2 - 17*f - 13. Let y be x(-11). Let v = y + 2716. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 485077 divided by -485077.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5477 - 3871 + 107*t - 126*t + 21*t)*(1 - 4 + 2 + (-3 + 1 + 0)*(-1 - 1 + 0)).\nAnswer: 6*t - 28044","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139 - 86 = -6*a - 31 for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 + 15. Suppose 0 = -y*h + 4*h - 1. Let i = h - -4. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 26\/2 + (-16)\/20*5. Suppose -1155 = -m*x - 129. Is 115 < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.38 - -0.18. Let d = j - -0.63. Let h = 0.517 + d. What is h rounded to 3 dps?\nAnswer: -0.053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100 (base 2) to base 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.52673 minus 905?\nAnswer: -918.52673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**2 - 2*m**2 + 2*m**2)*(-m + m - 2*m**3) + (-2*m**4 - 1 + 1)*(7*m + 9*m - 5*m).\nAnswer: -18*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 292542408 a multiple of 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1567788 - 966859. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k - 6. Let t be f(4). Suppose -2*a + 30 - 6 = 0. Suppose a = t*b - 12. Does 6 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 4*w = 184, -g - 5*w = -3*g + 86. Let x be g\/28 + 4\/14. What is the third derivative of -43*a**4 + 37*a**4 - 4*a**x - 5*a**3 + 5*a**3 wrt a?\nAnswer: -144*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*w - 13*w - w**3 - 9 - 4*w + 353 as s*w + u + f*w**3 + x*w**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5296.62 microseconds in nanoseconds?\nAnswer: 5296620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1098ba (base 12) in base 14?\nAnswer: -6cb70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 38855*s - 349716. Calculate y(9).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q**3 + 2*q**3 + 21*q - 21*q.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 10716337 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -10\/21, 0, -0.5, 0.1 in descending order.\nAnswer: 0.1, 0, -0.4, -10\/21, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -3*u**3 - 4*u**2 - 7*u - 3. What is the remainder when 37 is divided by g(-2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -57077, 0.0292, -0.2 in descending order.\nAnswer: 0.0292, -0.2, -57077","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -36*a**3 + 2*a**2 + 2*a + 1. Determine i(-1).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 205 + -196. Let g(h) be the first derivative of -y + 0*h**2 + 3\/5*h**5 + 0*h**4 + 0*h - 3*h**3. What is the third derivative of g(n) wrt n?\nAnswer: 72*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 t when three letters picked without replacement from btttcctbctbbtcbbb.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1.813018 litres?\nAnswer: 1813.018","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32 and 44512?\nAnswer: 44512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142*y + 7073 + 27 = 0. Calculate the highest common factor of y and 68.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*g = -186 - 35 for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -78 - -141. Suppose -q = -s - 2. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -g**2*v**2 - 50*g**2*v + g*v - 109*v**5 wrt v?\nAnswer: -2*g**2 - 2180*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -739218*g**3*w**3 - 2*g**3*w**2 + 2*g**2 + 148*g*w + 56*g wrt w.\nAnswer: -4435308*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.05 - -0.05. Let q = 2698 - 8242\/3. Let g = 50 + q. Sort g, l, -2\/3.\nAnswer: l, -2\/3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689.6306 weeks in hours?\nAnswer: 115857.9408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.9, -6\/67, -0.03, 0.14, -24\/7, -2?\nAnswer: -6\/67","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 8589.7 decades?\nAnswer: 85.897","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7931 - -22173. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2579733984?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-1 - -2 - (-16 - -12))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.01 - 0.14. Let b = u - 0.05. Is b not equal to -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*r**5 - 69*r**4 + 242*r**3 - 342*r**2 + 135*r + 27.\nAnswer: (r - 3)**3*(r - 1)*(7*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of 11\/5*o**5 + 0*o**2 + 0*o**4 + 13 - 7\/3*o**3 + 0*o. What is the third derivative of q(a) wrt a?\nAnswer: 264*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 24.541 days?\nAnswer: 2120342400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 - 7. Suppose -2 + 28 = -i*l. Let k = l + 17. Solve -k*f = 10 + 6, -2*d - 3*f - 6 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000433 rounded to six dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -d - h, 3*d = -d - h - 15 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2569*p**2 + 67*p - 1. What are the prime factors of k(-3)?\nAnswer: 13, 41, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -3*c**3 - 2*c**2 + c - 1. Let a be y(-2). Let x(u) be the third derivative of u**5\/12 - 7*u**4\/12 + 5*u**3\/3 - 10*u**2 + 50. Is x(a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 32\/(-12) + 17\/6. Which is the fourth biggest value? (a) 0.3 (b) p (c) -1\/5 (d) 3 (e) 2\/139\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -173 + 175. Suppose -v*b + 974 = 5*w, 0*w = -5*b + 3*w + 2466. Is b a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/3172 and 83\/610.\nAnswer: 15860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -68, -112, -140, -146, -124?\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -608 and 25.\nAnswer: -15200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25711584 to the nearest integer?\nAnswer: 5071","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9905 and 35658.\nAnswer: 1981","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -122*m - 523*m - 469*m + 126*m to b*m + z and give b.\nAnswer: -988","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -34 in -1\/2, -13\/11, 0?\nAnswer: -13\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-3\/5)\/p**(1\/6)*p**(-4)\/(p**14*p) assuming p is positive.\nAnswer: p**(-593\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 - q**2 + q + 2. Let s(b) = -3*b**3 + 2*b**2 - 6. Calculate 2*o(f) + s(f).\nAnswer: -5*f**3 + 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-78)\/(-117))\/(4\/(-42)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 47683 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: What is the tens digit of 3685?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -406977*n + 1128 = -406930*n for n.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*v = -980 - 130627. Calculate the remainder when v is divided by 110.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1496246760 + 1496246760 + 3*j.\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 22260141689 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oooffofffofof. What is prob of picking 2 o?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, 1, 6715, -0.1 in increasing order.\nAnswer: -0.1, 1, 30, 6715","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 x when two letters picked without replacement from fafxbfaaabafsamfaaaa?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*d + 30 + 15 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -3. Suppose -l*w - 196 = -4*c + 2*w, 2*w - 78 = -2*c. Let b be 5*(24\/(-20) - -2). Calculate the highest common factor of b and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-11))**(-4\/5)*s*s\/(s*s*s*s**(-8))*s*s*s**(-2)\/s assuming s is positive.\nAnswer: s**(-18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 10) + 40 + -35?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 973.3902 minutes to seconds.\nAnswer: 58403.412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/(-3) - 1) + (-4)\/1. Let l be -13*(-5)\/10*y*1. Which is smaller: -53\/2 or l?\nAnswer: -53\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 6*(sqrt(1152)*1 + 1 - sqrt(1152)))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 248*i = 1021846 + 3608066. Does 21 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 6*y**2. Let s(i) = -2*i**2 - i**2 + 5*i**2 + 0*i**2. Calculate l(s(h)).\nAnswer: 24*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145 + 203 = -79*h - 37*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3045 + -3153. Does z = 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i + 23. Give z(-13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7550393464182 + -7550396593264.999967. Let d = -3129026 - n. Let o = d - 57. What is o rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 21\/4 of a centimeter?\nAnswer: 52500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5263671 to the power of 1\/2, to the nearest integer?\nAnswer: 2294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.06 + 0.36. Let a = -14 + 13. Let l = -1 - -1. Put b, l, a in ascending order.\nAnswer: a, l, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of d**5\/120 - d**4\/6 + 5*d**3\/3 + 3. Let z(o) be the third derivative of q(o). Give z(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/60*9*68\/1275.\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 m, and 1 k when three letters picked without replacement from dmbbjkbtmmmb.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 31 + -27 + -29 + -29 - -25\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (9\/(-222))\/((-2)\/(-4)). Let p = 101\/333 + g. Which is the closest to 1? (a) -2 (b) 1\/3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9632 divided by 9632\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-3 - (-7 + 7 + -3))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -282 - -232.4. Round w to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.8046 - -0.1954. Which is the nearest to -2? (a) -6\/11 (b) 2\/13 (c) 0.3 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.9583627ml?\nAnswer: 0.0009583627","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*f**4*v**3 - f**4*v**2 + 7*f**4 + 2*f**2*v - 16*f*v**3 wrt f?\nAnswer: -72*f*v**3 - 24*f*v**2 + 168*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.5 - 4. Let j = 24 + -24.5. What is the closest to -1 in j, g, -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 + 5*r**2 + 2*r + 2. Suppose -2*w = 2*z + 12, -30*z - 6 = 2*w - 34*z. Give m(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-177)\/(-4)*3\/(63\/56)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyfffxxdaryy. What is prob of picking 2 y, 1 f, and 1 a?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -34 and 20150?\nAnswer: 20184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 422923 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36, -70, -126, -204, -304, -426?\nAnswer: -570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12181693 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 0 + 2 + -10 + 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 581 is divided by 207?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d - 23. Let b be y(21). Which is smaller: -10\/3 or b?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*i + 23*i = -3. Let u be 1 + 10 + 4\/(-2) + i. Suppose -o + 1 = -2*x + 3, -2*x = 4*o - u. Does 2 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114280217 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20986041 * 14.\nAnswer: -293804574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 388 and 485.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/8653368 or -1?\nAnswer: 1\/8653368","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 8) to base 13\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 8*x**2 - 2*x + 2. Suppose -5*q = -2*j + 4, 8 = 4*j - 0*j - 2*q. Is 8 a factor of l(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-15)\/(3*1\/(-9)). Suppose -93 - z = -3*f. Suppose -3*i = -3*t + 2*t - 84, -4*t - f = -2*i. What are the prime factors of i?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-5\/2)*(u\/(u**0\/u))\/u)**34 assuming u is positive.\nAnswer: u**(-51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 307128 (base 9) in base 3?\nAnswer: 100021010222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 10455*f**3 + 3273*f**2 + 18*f. Let h(q) = 2614*q**3 + 819*q**2 + 4*q. Let m(u) = -9*h(u) + 2*r(u). What is the third derivative of m(b) wrt b?\nAnswer: -15696","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1110011101000 (base 2) to base 16.\nAnswer: 1ce8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 9*v + 33. What is s(21)?\nAnswer: 222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -249, -232, -203, -162, -109?\n\"Answer: 6*m**2 - m - 254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 AM and 11:18 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-18 - -1 - -29) + -12.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d\/(d\/d**(11\/3))*d*d)\/d)\/(d\/((d\/(d\/d**(-7)))\/d)))**(7\/4))**(-2\/3) assuming d is positive.\nAnswer: d**(91\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4*(-1 + 0) + 1. Suppose 2*o + 12 = -10*o. Sort o, -2, u in descending order.\nAnswer: o, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(-1 + sqrt(425)) - (sqrt(425) + 1)*-6) + -1*3*(sqrt(425) + (-1 + sqrt(425) + sqrt(425) + sqrt(425))*-4))**2.\nAnswer: -4840*sqrt(17) + 822921","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10*a - 10*a + 14*a**2)*(4 - 2 - 3)*(-3*a - 1 + 1) - a**3 - 4*a**2 + 4*a**2 + 3*a**3 - a**3 + 0*a**3 to the form o*a + p + y*a**2 + j*a**3 and give j.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 391455*j**2. Let p(t) = -t. Calculate p(v(m)).\nAnswer: -391455*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44 and 21475102?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 150\/(-12)*1\/((-5)\/6).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -105*y**4 - 1105*y**3.\nAnswer: -5*y**3*(21*y + 221)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1 (b) -10 (c) 0.055 (d) -4 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = x + v + 30, 215 = 5*x + 12*v + 365 for x.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -287 <= -0.35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 30*z - 2. Let x be u(-2). Suppose -g = -4*g + 12. Is 13 a factor of 1\/2 - x\/g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uzuttzflzfftflfftu. Give prob of picking 1 u, 1 t, and 1 l.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 less than or equal to -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 5 + 4)*(2*v**4 + v**5 - 2*v**4).\nAnswer: -2*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2304 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3373 + 3557. What is the highest common factor of 152 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8715 divided by 3\nAnswer: 2905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 48822.58us in seconds?\nAnswer: 0.04882258","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6655) + sqrt(6655)*1)\/sqrt(11) - ((sqrt(60)\/sqrt(108))**2 - sqrt(5) - (sqrt(5)*1 + -5)**2).\nAnswer: 13*sqrt(5) + 265\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 117 or 89?\nAnswer: 117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 151, 3, -551 in increasing order.\nAnswer: -551, 3, 151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2835 divided by 9?\nAnswer: -315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 757651 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -15279700 rounded to the nearest one million?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in six fifths of a gram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.8 (b) -5 (c) -2 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**4 + 4*h**3 - 405*h**2 + 2900*h - 2500.\nAnswer: (h - 10)**2*(h - 1)*(h + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/140 and 57\/12500.\nAnswer: 87500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.5 + 307415065?\nAnswer: 307415062.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5, 31, 62, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 3)*(3 - 1 + 0)*(2*j + 2*j**2 - 2*j)*(-3 + 3*j + 3).\nAnswer: 24*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/q**(-1\/23))\/q**(1\/12))\/((q**(-6)\/q)\/(q*q**2)))**38 assuming q is positive.\nAnswer: q**(57475\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of -293*o**4\/4 + 4*o**2 - 13*o - 3. What is the first derivative of j(m) wrt m?\nAnswer: -1758*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1f1 + -1?\nAnswer: -1f2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.798 + 4.398. Sort 0.4, -365, z.\nAnswer: -365, z, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2*y - 6. Let a = 38 + -46. Let p be n(a). Calculate the highest common divisor of 70 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*d*x - 728*d + 13*x**3 wrt x.\nAnswer: -5*d + 39*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -26 - -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*m - 269 - 478 = 180 + 9 for m.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, c: 9}. What is prob of sequence ccj?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50 and 17860.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 3*x**3 + 2*x**2 - 3*x + 16127. Is z(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iu when two letters picked without replacement from {b: 5, o: 1, i: 8, u: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 54851668399 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2425, 1924, 1423, 922?\n\"Answer: -501*j + 2926","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uzku when four letters picked without replacement from {k: 1, u: 6, z: 3, o: 3, d: 1, i: 1}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -109.384? (a) -4 (b) 22 (c) 1\/7 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*b**2\/4 + 191*b\/2 - 156 = 0. Calculate b.\nAnswer: -78, 8\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.052 - -0.048. Let o = -3.8 - -2. Let f = -2 - o. Which is the nearest to f? (a) 1\/3 (b) y (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -54 + 59. Suppose 0*g + l*s = -2*g - 18, 5*s = -5*g - 15. Let j(b) = 10*b**3 - 2*b**2 + 2*b - 1. What is j(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 1 = 2*c - 0, -4*o = -5*c + 8. Let b be 1*-3 - (174\/o + -1). Let y = 51 + b. Put -3, 4, y, -4 in decreasing order.\nAnswer: 4, -3, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 4 = -2*h - 1, -4*h - 4*u - 8 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.9955 + 0.98. Round o to 3 dps.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 317 a factor of 52165257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1599281\/47 + 34030. Are 3 and h non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p*p**12\/p*p*p*p**1*p**(6\/11)\/(p\/(p\/(p**(2\/27)\/p))) assuming p is positive.\nAnswer: p**(5189\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13202 is divided by 138.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/((-15)\/(-2)) + 65688\/4420. Let h = k - 59045\/4082. Is h less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3\/6 - 113*j**2\/6 - 1624*j\/3 - 1568\/3.\nAnswer: -(j + 1)*(j + 56)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160 = -7*z + 463. What is the remainder when 174 is divided by z?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 + 1080399.\nAnswer: 1080398.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8022 and 103522.\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2.006 or -110?\nAnswer: -110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170*s - 1016 = -43*s for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**3 + k + 0*k + 8*k**3)*(2*k**2 - 3*k**2 + 2*k**2 + (0 + 0 - 2*k)*(k + 2*k - k) - 2*k**2 - 2*k**2 + 2*k**2 + 2*k**2 + 0 + 0 - k**2 - k**2 + 0*k**2).\nAnswer: -55*k**5 - 5*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 PM and 3:34 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 481331385?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.10535 take away 26929.09?\nAnswer: -26928.98465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -98632475 take away 796.78?\nAnswer: -98633271.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -45 + 46. What is the highest common factor of 1 and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -3*l**2 + 10*l. Let z(k) = 2*k**2. Give z(a(u)).\nAnswer: 18*u**4 - 120*u**3 + 200*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, w: 4, q: 2, j: 1}. Give prob of sequence wwz.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 - 7*u + 3. Let v be 7\/(-2 - -1 - -2). Let y be m(v). What is the second derivative of -653*i + 620*i - 59*i**3 + 21*i**y wrt i?\nAnswer: -228*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 897905 is divided by 229.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -323\/4 or -82?\nAnswer: -323\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 7. Let s be b + 2\/3*-6. Let l(r) be the third derivative of r**6\/120 + r**5\/12 - r**4\/6 + 5*r**3\/6 + 2*r**2 + 99. Determine l(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from euueeee. Give prob of picking 2 u and 1 e.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 1:14 PM?\nAnswer: 6:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -442, -444, -446, -448, -450, -452?\nAnswer: -454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-2 + sqrt(1539)*-2)**2*2.\nAnswer: 144*sqrt(19) + 12325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1.3 (b) 2\/5 (c) 61\/2 (d) -0.2 (e) -6 (f) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -468*q = -467*q + 35*r - 109, -q - 5*r = 1 - 20 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != -6852968\/103?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**8\/(z*z**(1\/3)))\/(z*z**4\/z*z*z\/z**(-1)*z))\/((z**3*z**(2\/5)*z)\/((z\/(z*z\/z**(-1))*z)\/z)**(-37)) assuming z is positive.\nAnswer: z**(1024\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 AM and 4:01 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -157, -54, 127, 392, 747, 1198, 1751, 2412?\n\"Answer: h**3 + 33*h**2 - 3*h - 188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4608.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 i, and 1 t when three letters picked without replacement from rtrrdairadii?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - j - j + 2 = 0, 5*g + 5*j = 0. Let a be 2 - 111\/(-1 + g). Suppose 0 = 3*h - 0*h - a. List the prime factors of h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11018 - 11018. Let r = -36 - -135. Find the second derivative of s*z - 9*z - 128*z**4 + r*z**4 wrt z.\nAnswer: -348*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, -4, 17609, -5, 3, -6 in ascending order.\nAnswer: -6, -5, -4, -3, -2, 3, 17609","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millennium in months?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 200449239?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = l + 4*v + 3, 3*l - 4*v = 26. Suppose -d + 8470 = l*d. List the prime factors of d\/(-20)*(2 - 4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -70687511.9 to the nearest 10000.\nAnswer: -70690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 74840844 and 104.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 8 - 2)*(-6*d**3 - 2*d**5 + 6*d**3) + (-1 + 5 - 3*d - 3)*(3*d + d - 2*d)*(3 - 5 + 6)*(d**3 - 5*d**3 + 2*d**3).\nAnswer: 36*d**5 - 16*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.44098791 to 1 decimal place.\nAnswer: -11.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**2 + 40*g - 45.\nAnswer: 5*(g - 1)*(g + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n - 6 - 2\/3*n**2.\nAnswer: -2*(n + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/60*10\/9.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*6595.\nAnswer: -2638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-234)\/(-195) + 58\/(-40). Which is the smallest value? (a) m (b) -4 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -915035700 by 34271.\nAnswer: -26700","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 7. Let v = 4 - n. Suppose 4*t - 34 = -2*z, 2*t - t - v*z - 14 = 0. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5191, -5199, -5207, -5215?\nAnswer: -5223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*v**2 + v**2 + 3*v**2 - v**2 + v**2 + v**2 + (0 + 0 + 3*v)*(9*v + 8 - 8) + 4*v**2 - 4*v**2 + v**2 - 2*v**2 + 6*v**2 - 3*v**2.\nAnswer: 21*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 197659859.\nAnswer: 691, 286049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 9 + 0 - 13*z - z**2 + 3*z + 4. Is g(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 - 16*g. Calculate s(-16).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 1011 divide 1171355668?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4911103058?\nAnswer: 2, 2455551529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c + 5 - c - 1)*(3*c**2 - 4*c**2 + 4*c**2).\nAnswer: 6*c**3 + 12*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3843*k**3 + 199294*k + 2.\nAnswer: -23058*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i = 29*i - 12*i + 47*i - 3648 for i.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 9 (b) 2\/15 (c) -2 (d) 4\/5 (e) -7720\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (20\/(-12))\/(25\/(-9))\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**6\/((t*(t\/((t*t**(-3\/2))\/t))\/t*t*t)\/t))**43 assuming t is positive.\nAnswer: t**(215\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -323.\nAnswer: 969","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2124 - -2123.5. What is the second smallest value in 4, 1.2, -0.06, f?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c**(-2\/25)\/c))**8 assuming c is positive.\nAnswer: c**(616\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 14 and -0.08.\nAnswer: -1.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*z**3 + z**3 + 3*z**3 + 9*z**3.\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -321 + 1616. Suppose 3*g = 8*g - s. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000252602923 to 6 dps.\nAnswer: 0.000253","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 20.5, -54, 2.4, 2 in descending order.\nAnswer: 20.5, 2.4, 2, -2\/5, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 648667 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyyyyryyyyyyryyyyy. Give prob of sequence ry.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 787 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - s = -1. Let g = -1 - s. Put -3, -4, g in decreasing order.\nAnswer: g, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 0, 5*z - 2*z + 12 = 4*a. Suppose -a*o + 92 = 3*p - 5*o, 0 = -3*p - 2*o + 88. Does 23 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**5 - 38*z**4\/3 + 128*z**3\/9 - 40*z**2\/9 = 0. What is z?\nAnswer: 0, 2\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 134.3 + 938.1. Let t = z + -1072.4160025. Let c = 0.016 + t. What is c rounded to 6 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 48007 to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 + 0 - 1)*(-p - 2 + 2) + p + 3*p - 3*p + 0 + 2*p + 0)*(8 + 6 - 5)*(-2*p + 5*p - 4*p) as c*p**2 + f + i*p and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -4*u + 0 + 11*u + 5 - 4. Is 8 a factor of z(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 6153*f - 30805. Calculate z(5).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 364 = -3*r + 1378. Calculate the highest common factor of 26 and r.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-5))**(-1\/32)\/(v*v**9*(v*v\/(v*v*v**18\/v)*v*v)\/v))**(-5\/3) assuming v is positive.\nAnswer: v**(-985\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 77, 174, 335, 560, 849, 1202, 1619?\n\"Answer: 32*c**2 + c + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40250.\nAnswer: 2, 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 5*i - 39. Suppose -30*v + 520 = 8*v + 2*v. Give y(v).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -3*x - 4*x + x**2 + 2*x - 4*x - 6. Give a(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -d*p*s + 4*d*p + 72185*d*s - 2*p*s + 9178*p - 31*s wrt p.\nAnswer: -d*s + 4*d - 2*s + 9178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9\/6*(-6)\/(-9). Let k be (18\/(-72))\/(q\/4). Let p(y) = -1040*y**3 + y + 1. Let g be p(k). What is g rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/931 (b) 3\/5 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + j + 61 = -3*k + 7, -22*j = -5*k - 26*j - 90 for k.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 13*b**2 + 15*b - 6. Let y(s) = -13*s**2 - 14*s + 5. Let i(n) = 6*y(n) + 5*z(n). What is the second derivative of i(r) wrt r?\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1620\/(-24)*46\/(-1035)*-15?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 164294 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v**3 - 6*v**2 - 4*v - 1. What is u(3)?\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*s - 8. Let r be (s\/5)\/((-2)\/(-110)). Suppose 5*k - 87 = -2*z, 3*z - r - 110 = -5*k. List the prime factors of z.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - (-1 + 2 - 3). Suppose j + s*b - 10 = 0, 0 = 2*j - 4*b - 1 - 19. Calculate the smallest common multiple of 6 and j.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of -1\/2*i**3 + 1\/12*i**4 + i + 0 - 3\/2*i**2. What is the units digit of j(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 + -1 - -43) + 2. Let h = -30 + i. Is 12 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-6 - -2) + 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 805 and 859120?\nAnswer: 138318320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 37905300 and 150120.\nAnswer: 75810600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/43)\/p)\/(p*p**43*p) assuming p is positive.\nAnswer: p**(-1980\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.728664 + -1.729. What is a rounded to 4 decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 702 + -685. Solve -23 = -3*q + 2*a - 0, -2*a = 5*q - l for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 9 + 7. What is the remainder when 8 is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1324 = -51*a + 5200 for a.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, i: 3, a: 2, v: 1, u: 2, z: 4}. Give prob of sequence uv.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 106.7 - 106.2. Which is the second smallest value? (a) t (b) 4 (c) -5 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -167 - 174. Let t = -340 - h. Which is the closest to t? (a) -4\/5 (b) 62 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 - v**2 - 3*v - 4. Let u(f) = -3*f + 2. Suppose 4*y + 6 + 2 = 0. What is the remainder when i(-3) is divided by u(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2625 + -2655. Let o = 69.255764 - 39.255863. Let s = o + m. Round s to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 450345941.\nAnswer: 450345941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2212221212 (base 3) in base 10?\nAnswer: 56831","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -9261800 to the nearest one hundred thousand.\nAnswer: -9300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1527?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 110861 and 413?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + 2*s + 0*s)*(-8 - 4 + 11 + 4*s).\nAnswer: 4*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 4*g + 20. Suppose -2*t = -w + 2*t + 24, -5*w + 2*t = -120. What is the units digit of (-1)\/g - (-330)\/w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v**(1\/3)\/v*v)\/v*v)*v)**(-14) assuming v is positive.\nAnswer: v**(-70\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -6*c - 6. Let j be t(-4). Suppose 6*v + 6 + j = 0. Let w(n) = 2*n**2 + 6*n + 1. What is w(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of 16 + 6*u + 3\/2*u**2. Give y(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -56, -260, -606, -1094?\n\"Answer: -71*a**2 + 9*a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -16802119 rounded to the nearest one million?\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*s - 6*s - 14*s - 11*s.\nAnswer: -25*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -27*g**2 + 2. Let j(a) = -4*a + 2. What is j(c(w))?\nAnswer: 108*w**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(396) + -3)*1 - -1*(-4*(-2*sqrt(396) - sqrt(396)))**2.\nAnswer: 6*sqrt(11) + 57021","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*a**2 - 3*a + 6*a**2 + 5*a - 4*a in the form x*a + f + c*a**2 and give c.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -i + 5*h + 7, -3*h + 105 = 4*i. Suppose 3*n = 5*n + i. Let c be (3 - 0)*n\/18 - -4. Solve -c*y + 3 = -5 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50149, -100289, -150429, -200569?\nAnswer: -250709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 724437, 724129, 723295, 721671, 718993, 714997?\nAnswer: 709419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 393.6005 milligrams to nanograms.\nAnswer: 393600500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -15177 (base 9) in base 14?\nAnswer: -3abb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 500, -2, 5, 15, 33 in increasing order.\nAnswer: -2, 5, 15, 33, 500","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4398?\nAnswer: 2, 3, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (-6 - 1) - (-3 - 1) - 3?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*j = 32*j + 2825. What is the highest common factor of j and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - -1cb?\nAnswer: 1c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 2\/3, -1, 769?\nAnswer: 769","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 10*z**2 - 2*z - 1. Let f(y) = -y**2 - y. Let x(a) = -2*f(a) + i(a). Let k be x(-1). Let c = -10 + k. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19645801.\nAnswer: 7, 2806543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 170 - 77. Suppose t*u - 394 = 92*u. What are the prime factors of u?\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of f**7\/105 + 2*f**6\/15 + 2*f**5\/3 + 4*f**4\/3 - 2248*f**2. Factor u(d).\nAnswer: 2*d*(d + 2)**2*(d + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75 + 9.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 13 = 5*b, b + 1 = y - 3*y. Suppose v - t - t - 7 = 0, b*v + 2*t = 13. Let f(j) = -j + 5. Give f(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (378\/(-70))\/(3\/(-290))?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of i**4\/4 + i**3 - i**2\/2 - i - 2. Let j be s(-3). What is the remainder when (-2)\/(j\/(-15)) + 1 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1482 greater than or equal to 316?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 42 times 0.2189\nAnswer: 9.1938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, c: 6, y: 5}. What is prob of picking 2 y?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1111 - 314?\nAnswer: 686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do 26 and 7669\/291 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -6, 61, 240, 591, 1174, 2049, 3276?\n\"Answer: 10*h**3 - 4*h**2 + 9*h - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -2*s - 19, -3*s - u - 3 = -2. List the prime factors of (-15 + -9)*(s + -11).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -4*o + 6. Suppose -o*d = -0*d + 20. What is the tens digit of (-104)\/d - 10\/25?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 11 = -6. Let v(j) = -j**3 + 9*j**2 + j - 4. Let g be v(9). Which is the third biggest value? (a) g (b) -0.3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 3*b - 28. Let r(h) = -h + 19. Let t be r(11). Let p be t\/b + 16\/7. Solve -2 = p*x - 8 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1134227\/45 - -25204. Find the common denominator of a and 28\/27.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 16*v**2. Suppose 0*n = -2*n. Suppose -x + 2*x + 4 = n, 3*f - x = 1. What is the units digit of d(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -214220043 (base 5) to base 14.\nAnswer: -1a29b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*x = -333*x - 1292*x + 6615 + 19737 for x.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, i: 2, z: 3, p: 2, g: 6, w: 1}. What is prob of sequence ziwz?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12485310.\nAnswer: 2, 3, 5, 17, 24481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 14406724 to the power of 1\/3, to the nearest integer?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millennium in months?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -18122\/53 or 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4466188 or -4466189?\nAnswer: -4466188","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of i**9\/1890 - i**5\/60 + i**4\/2 - 5*i. Let l(o) be the third derivative of x(o). Differentiate l(v) with respect to v.\nAnswer: 32*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 315?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 5*k - 30, -b - 25 = 3*b - 5*k. Let d = 40 - 18. What is the nearest to d in -2, b, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15606129.\nAnswer: 3, 7, 11, 67559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -369 - -350.3. Let j = 18 + m. Put j, -0.1, -4 in decreasing order.\nAnswer: -0.1, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -40\/3 + 77\/6. Let y be 1\/(-3) + (-4)\/6. Is y > s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 11*w**3 + w**2 - 2*w + 5. Suppose -6*h + 1065 = -11*h. Let m = -205 - h. Let z(o) = -17*o**3 - 2*o**2 + 3*o - 8. Calculate m*i(l) + 5*z(l).\nAnswer: 3*l**3 - 2*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -217994*r + 9486*r**2 + 217994*r - 10558 wrt r.\nAnswer: 18972*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (50\/(-3))\/(-5)*6\/8\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 5*a - 13 - 32, -4*w = -a - 3. Let l(c) = 4 - 20 - c + a + 1. Give l(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of -z**6\/540 + z**5\/270 + z**4\/108 - z**3\/27 + 2*z**2. Factor o(x).\nAnswer: -2*(x - 1)**2*(x + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/818 or -0.0347?\nAnswer: -1\/818","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) + -4 + 2)**2 + 4)*-1.\nAnswer: -161 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*l + 7 = 15*l + 5*b, 0 = 2*l + 7*b - 29 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 + 11*y**2 - 2. What is c(-11)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tfjtqjuq. What is prob of sequence fqqt?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*d**2 + 17*d**2 - 36*d**2)*(-2*d**2 + d**2 + 0*d**2 + 8*d**2).\nAnswer: -196*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2397 is divided by ((-10486)\/(-1070))\/((-32)\/(-10) + -3).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 PM and 4:56 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*v = 2*f - 16*v - 23197, -f - 2*v = -11597. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 2409.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -320011 - 213231312?\nAnswer: -220211323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 7616002?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (18 + -32)\/((-2)\/5).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 - 5*p**2 + 2*p - 4. Suppose 68*m - 33 = 65*m. Calculate the remainder when m is divided by f(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22987 is divided by 95.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (k - k + 2*k)*(k**2 + 0*k**2 + k**2) + (k**2 - 4*k**2 - 2*k**2)*(-k + k + 3*k) as j*k + d*k**2 + y + p*k**3 and give p.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -58 - -69. Let t(c) = -c**3 + 26. Calculate the remainder when t(0) is divided by v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -4*o + 7. Let l be p(2). Let w(z) = z. Let d be w(4). Suppose 5*u + 3*t + 6 = -2, -d = 4*t. Is l at least u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 2*o = -0*s - 423, 0 = -4*s - 2*o + 564. Calculate the remainder when s is divided by 49.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68239 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 17971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24297 + 34645. Is d a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39 and 178040213.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-92)\/(2 - 6) + 1. Let p be 6\/(-4)*(-16)\/q. Let u(v) = 2*v - 8 - 1 + 0 + p. Determine u(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 49 + -42. Let o = -9 + s. Which is the second biggest value? (a) o (b) -0.03 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/19, 1\/13, -41?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 34 + -23. Let q = 23 - 18. Suppose 210 = q*s + 50. Calculate the remainder when s is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 22789 and 22789 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*v - 6 = 74. Let b be v\/(15\/6) - (-3 + 6). Let k = 6 + -11. Put 1, k, b in decreasing order.\nAnswer: 1, b, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*u - u**3 + u**3 - 6717 + 5*u**3 + 6717 - 9*u**3.\nAnswer: -4*u**3 - 5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i**2 - 8*i + 724 - 1449 + 8*i + 725.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7.3, 4, -2\/13?\nAnswer: 7.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28*r**4 + 65*r**2 + 20*r + 14 wrt r.\nAnswer: -336*r**2 + 130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.233935 days to seconds.\nAnswer: 20211.984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.39 (b) -0.18 (c) -3 (d) -364\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6 + 7*l**3 + 6 + l**3 - 2*l**3 + 0*l**3 + (5*l**2 + 0 + 0)*(-4 + 4 + 3*l).\nAnswer: 21*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 - (-6)\/(-5193) - 0. Let j = y + -157489\/27696. What is the common denominator of ((-78)\/4)\/(6\/(-14)) and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 - 28.9. Let a = -7.7 - l. Let j = 335 + -1681\/5. What is the third biggest value in j, 3, 4\/9, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*l**3 + 79*l**3 - 11*l**3 + 55*l**3.\nAnswer: 117*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -5 - ((-17 - -6) + 4 + -1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -186698 - -186697.99798401. What is v rounded to 4 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one fifth of a minute?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 146*x**2 + 304*x + 2. Determine v(-2).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c - 11 + 8 - 10 - c.\nAnswer: -2*c - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 - 7*s**2 - 15)*(-4*s + 3*s + 0*s) + s + s**3 - s + 2*s**3 - 3*s**3 - 2*s**3.\nAnswer: 5*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 1 (b) -2\/17 (c) -0.4 (d) -151\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/4 - 565*w\/2 - 319225\/4.\nAnswer: -(w + 565)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b - -18?\nAnswer: c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 56\/(-16)*(-98)\/(-13 + 20)\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/8)\/(34 - 15285\/450)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/20965 != 17.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28915919\/73658266 + -2\/304373. Find the common denominator of b and -25\/22.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t - 2 = -32 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 - 147*i**2 - 1296*i + 12. Determine s(-9).\nAnswer: 498","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = -2*o + 4 + 2, 5*o = -3*q - 6 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 127533076?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 51 = 151. Suppose -v + 6*v + 4*w = -r, 0 = v + w + 6. Let y(f) = -5*f. What is the units digit of y(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 285*d + 51 = 258*d, 0 = -2*v - 3*d - 50 for v.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, -11, -47, -97, -161, -239?\nAnswer: -331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002582382 to seven dps.\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 16) in base 2?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2669?\nAnswer: 17, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78) - ((sqrt(78) + 2*sqrt(78) + sqrt(78) - sqrt(78))*1 + sqrt(78)))\/(sqrt(150) + sqrt(150)*6 + sqrt(150)).\nAnswer: -3*sqrt(13)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.7468234495 + -37.2531757205. Let s = n + 38. What is s rounded to 7 decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-12)*(-5)\/2475*12*(-27)\/3\nAnswer: -3\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - 2*k - 2*k**2)*(10867 + 7385 - 3545 + 1057 + 16620 - 600).\nAnswer: -63568*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0540309 - -0.5340939. Let u = -2.4 - -2.88. Let n = z - u. What is n rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 536539 to the nearest integer?\nAnswer: 732","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 3644 = 2*h, -8*y + 3*h + 3664 = -6*y. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 39 = 3*f - 3*v, 5*v - 75 = -5*f. Let g be (-1)\/(-3) - (-119)\/21. Calculate the greatest common divisor of f and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0092 - 0.009199542. Round x to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15841339477 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -2*i + 41. Let q be j(14). What is the derivative of 3 + 19*k + 5*k + q*k wrt k?\nAnswer: 37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 4*v + 21 = -v, -9 = 4*g + v for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 3*d + 7*o - 6*o, 2*o + 10 = 0. Suppose d*t = s + 3*t - 280697, -3*s - t + 842101 = 0. Round s to the nearest 10000.\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6\/7 (b) 2 (c) -134 (d) 14 (e) -1\/5 (f) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 15*b - 95. Solve 0 = 5*p - 4*q - 17 - 15, -5*p = 3*q - b for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r + 4*r - 2*r)*(446 - 806 + 426)*(10 - 11 - 35) - 2*r + r - r + (-3 - 1 + 2)*(r + 0*r + r).\nAnswer: 2370*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, g: 2, f: 1, l: 1, t: 1, b: 3}. Give prob of picking 1 y and 2 g.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 PM and 3:27 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 a factor of 18719?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 540*r - 536*r = t + 6, 5*t + 7 = -3*r for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/960 and -17\/464?\nAnswer: 27840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 90, 169, 246, 321, 394?\nAnswer: 465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*v**2 - 10*v**2 - 84*v**3 - 5*v**2 + 52*v**2.\nAnswer: -84*v**3 - v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 2174*z = -2169*z - 38, -3*d + 12 = 3*z for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -3*a + 5*b + 5, 3*a - 3*b = -3. Sort 0.4, a, 0, 4\/5 in decreasing order.\nAnswer: a, 4\/5, 0.4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 138245579?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 85*w - 34. Let z be b(-2). Let x = -203 - z. Solve 3*j - x + 0 = -4*v, 0 = -3*j + 5*v + 19 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 11.752 micrograms?\nAnswer: 0.000000011752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -3*i**3 - 2*i**2 + 4*i - 5. Let m be k(-3). Suppose -13*j = m + 6. Let o be 1 - 6\/j - 5\/(-10). Solve 5*x + o*f = -0*f - 6, 3*f - 9 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/10 - 178\/(-10). Let o = 30 - -190. Suppose -r = r - 3*q - 105, o = 4*r + 4*q. What is the highest common divisor of r and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from mjjjjjjmj.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 i when two letters picked without replacement from {i: 3, h: 1, g: 3, w: 2, v: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/7 - (-225)\/420)*20?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33 + -167\/5. Let j = 15417\/13 + -1187. Let h = 96\/65 + j. Which is smaller: q or h?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19.86 + 0.14. Let n = 13 - z. Let l = 8 + n. Which is the third smallest value? (a) -3 (b) l (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -823 times -0.3\nAnswer: 246.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 506548 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 8:01 PM?\nAnswer: 2:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.4 - -0.8. Let x = 46 - 48. Which is the nearest to x? (a) -3 (b) -5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 3)*((2 - 2 - d)*(-2*d**4 - 2*d**4 + 5*d**4) + 11*d**5 + 12*d**5 - 4*d**5).\nAnswer: -36*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u**2 - u + u + u**2 - u**2 + u**2 + (3*u + u - 5*u)*(-4 + 4 - 3*u) to the form q*u**2 + y*u + h and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 54900 and 46966950.\nAnswer: 93933900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 3*x**3 - 1 + 3*x**3 - 11*x**3. Let h(t) = 3*t**3 - 6*t**3 - t**3. Let s(i) = -3*f(i) + 4*h(i). What is the first derivative of s(g) wrt g?\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -167780 - -503368\/3. Solve 2*u**2 + 2\/3*u - x = 0 for u.\nAnswer: -7\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 4)*(151*c**3 + 81*c**3 + 175*c**3).\nAnswer: -407*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 - 9*x - 20. Let j be s(11). Solve 4*p + 2*k = -j, 2 - 7 = 5*k for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-y + y - 2*y)*(1 + 1 - 5) + 3*y - 4*y + 0*y + (-7*y - 2*y + 10*y + 2)*(2 - 1 - 2))*(-77 + 139 - 147).\nAnswer: -340*y + 170","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1073 and 4.\nAnswer: 4292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.4 or -228?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 179492 (base 14) in base 12?\nAnswer: 341820","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i**2 + 2*i**2 + 31*i**3 + 13*i**3 - 15*i**3 - 22*i.\nAnswer: 29*i**3 + 2*i**2 - 22*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 2. Let i be (2 + 1)\/((-9)\/(-114)). Let y = 344\/9 - i. Which is the smallest value? (a) u (b) y (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 + -17. What is the second smallest value in 5, 0.4, w?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13769 and 843.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 f when three letters picked without replacement from {v: 5, a: 8, f: 2}?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 12504 = -9*h. Suppose -6*r + 8774 - h = 0. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a century in months?\nAnswer: 1320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(18\/27)\/2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**2 + 8*o**2 - 8*o**2 - 4*o**2 - o**2.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 8 = 0, 0 = -3*r - 2*b + 995 + 1652. Let s = -629 + r. Suppose s = 13*o - 9*o. Does 22 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = -r + 4*r - 18, -a + 6*r - 31 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*y = 25*y + 667981. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 15145851, 15145896, 15145973, 15146082?\n\"Answer: 16*r**2 - 3*r + 15145838","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-5) - (-94)\/(-235).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -313 (base 4) to base 16.\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.09 - -3.79. Let r = 305\/2 + -6401\/42. Which is the second biggest value? (a) 54 (b) r (c) -0.2 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r + 141*r**2 - r - 140*r**2.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1320560 is divided by 2896.\nAnswer: 2880","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 413.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 37890 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 21*u - 3*u - 2 - 11*u + 9*u wrt u?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2199162601 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 711 - 503. Let k = -364 + p. Let d = k - -155.99917. What is d rounded to 4 decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 - 2*g**2 - 2*g. Let h be w(0). Let s be 0 + h + 1 + 1. Suppose -1\/3 + 1\/3*q**4 + 0*q**s - 2\/3*q**3 + 2\/3*q = 0. What is q?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1923474521 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -36\/7 - 60\/7*a - 4*a**2 - 4\/7*a**3 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z**5 + 448*z**4 - 908*z**3 - 3600*z**2 = 0. What is z?\nAnswer: -450, -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -h + 4*p + 32, -9*p = 931*h - 930*h - 8*p + 3 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxbbxbx. Give prob of sequence bxxb.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -3*v**3 + 5*v + 3*v**5 - 3*v**2 + 0*v**3 - 5*v + 3*v**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1301 divide 3508623967?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 313767 is divided by 1650.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 59*l**2 - l**3 - 59*l**2 + 6*l to s*l + q*l**2 + z + t*l**3 and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -7*v**3 - v**2 - 7*v - 12. Let a(o) = o**3 - o**2 + 1. Let g(s) = 6*a(s) + l(s). Calculate g(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136*h = -131*h - 283500000. Round h to the nearest one million.\nAnswer: 57000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -27*k**4 + 13*k**4 - 63*k**4 + (2*k - 2*k + 2*k**2)*(2*k**2 + k**2 - 4*k**2).\nAnswer: -79*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuskekrussk. Give prob of picking 3 k.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2cf (base 16) in base 8?\nAnswer: 1317","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of 0*x**4 + 3*x + 0 - 3*x**2 + 0*x**3 + 21\/20*x**5. Differentiate c(m) wrt m.\nAnswer: 63*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((q*q**3)\/q)\/q**(-13))\/(((q\/(q*q*q*q**(-1\/2)*q))\/q)\/q)**(4\/9))**(3\/10))**(-24\/13) assuming q is positive.\nAnswer: q**(-648\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 976 and 287493?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 + 6*r**2 + 4*r - 1. Let y be w(3). Let c = -3 + 5. Suppose 4*p + g = 4*g + y, p + 5*g = -c. Is p a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.985 times 0.1\nAnswer: 0.4985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 5*g = -9*g + 140, -116 = -4*h - 4*g. Suppose a = -4*u - 0*a + 167, a - 125 = -3*u. What is the remainder when u is divided by h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 118 = 15*p, 40*x - 5*p - 158 = -51*x + 87*x for x.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 3*c + 31, -3*o - 3 + 6 = -3*c. Let g be (o\/(-10))\/((-1)\/(-5)). Let f be -5 - 3 - (19 - 32). Solve 0 = g*x - f - 3 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-88*w**4 + 10*w**4 - 13*w**4)*(-1 + 2 - 3) to the form i + h*w + a*w**2 + x*w**3 + s*w**4 and give s.\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1971619 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) -0.5 (c) -9 (d) 0.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from flfflfl. Give prob of sequence lflf.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from voov?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -99, -91, -69, -27, 41?\nAnswer: 141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -76 - -121. Suppose 0 = -13*b + 72 + l. Sort 0, 6, b in descending order.\nAnswer: b, 6, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**3\/21 + 38*q**2\/7 - 892*q\/21 + 64 = 0.\nAnswer: 2, 7, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-324)\/(-160) - (799\/85 - 10 - (1 + -2)).\nAnswer: 13\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + w + 1251 = 0, 45*n + 2*w - 396 = 44*n. Calculate the remainder when 582 is divided by n.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4 - (-4 + 2)) + -27598. Suppose 216*v = 214*v - c + 8, 26 = 5*v + 4*c. Let x be 3\/6*l\/v. What is x rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and ((-731)\/172)\/((-1)\/24)?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2519 + 2356 - (-20 - 9).\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**(-2\/9)\/p)\/(p*p*(p\/(p*p*p\/p**1))\/p))\/(p*p**0)**(31\/4))\/((p**(1\/2))**(-12)\/(p*p\/p**(-1))**(-15)) assuming p is positive.\nAnswer: p**(-1691\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 190833 is divided by 15845?\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19916, 19053, 17616, 15605, 13020, 9861?\nAnswer: 6128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/18 and 55\/54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1468 + -1456. Solve -w = -8*c + 20 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 10*p - 148. Determine x(19).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of 5*t**8\/112 + 9*t**7\/70 + 11*t**4\/24 + 584*t**2 + 2. Find the second derivative of s(n) wrt n.\nAnswer: 300*n**3 + 324*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 4 (b) -5 (c) 127\/3 (d) 0.3 (e) -1 (f) 2\/1321\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6 (b) 2\/13 (c) -97\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2307 + 2309. Which is the smallest value? (a) -45 (b) j (c) -27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 30 - 28. Suppose -d*g = -g. Suppose g = 3*s - 817 - 1013. Round s to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 400142 is divided by 100032?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7488*j = -7504*j + 688. Calculate the remainder when (2\/(-4))\/((-1)\/256) is divided by j.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to 49\/83?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2861*c**2*r**3 - c*r - 2*r**3 + 66*r**2 wrt c.\nAnswer: 5722*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6.1 + 6. Let j = -0.034 + -2.966. What is the closest to l in j, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + -1204bc63?\nAnswer: -1204bc60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 3) to base 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2103221302003 - -3?\nAnswer: -2103221302000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (59 + 29*x - 59)*(-1 + 2 + 2)*(-4 - 2 + 0) to p + f*x and give f.\nAnswer: -522","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -0*v - 8. Let r be v\/18 + (-520)\/90. Let o be r\/(-10) + 22\/5. Solve -4*y = o*t + 19, -2 = -y + 5*t + 12 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3193 + 3583. Calculate the highest common factor of 24 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209) + -5*(sqrt(209) + 2*sqrt(209)))\/(1*(sqrt(44) + sqrt(11))))**2 + 2.\nAnswer: 3742\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-6) + 76\/6. Let q = b + -19. Is q\/(-9) + (-230)\/(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (-55)\/10)\/((-12)\/(-8))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 513 - 6?\nAnswer: 509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23097?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 3*o**3 + 2 + (-o - 5 + 5)*(-o**2 - 6*o**2 + 3*o**2).\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3\/2 - (-16)\/160*25 - -1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 AM and 8:23 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r - 39. Let x be s(4). Let i = x - -49. Solve 0 = -a + i*a - 15 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*m**2 + (2*m - 7*m + 2*m)*(0*m + m + 0*m))*(-m**3 + 0*m**3 + 3*m**3).\nAnswer: -2*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*d - 4*d - 13*d.\nAnswer: -12*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of 3*p**5\/5 - 113*p**4\/4 + p**3 - 23*p**2\/2 + 17*p - 14612. Find the second derivative of l(a) wrt a.\nAnswer: 36*a**2 - 678*a + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7147661?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -145*i**4*y + 5*i**3*y - 802*i**2*y + 1406*i + 41419*y wrt i.\nAnswer: -1740*i**2*y + 30*i*y - 1604*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -297.678 + 0.678. Let f = 299.51 + a. Round f to one dp.\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 873*z**2 - 1264*z**2 + 2513*z**2 + 2375*z**2.\nAnswer: 4497*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -150 + 60 - o + 89 - 33*o**3 - 7*o**2 as q + t*o**2 + z*o**3 + p*o and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-9)\/(-3)*(10 + -9)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*x = -i - 203*x + 98*x - 180, 108 = -5*i - 3*x for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23.1 - -0.1. Let d = -24 - k. Which is the nearest to 5? (a) -2\/3 (b) -2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -25.9 - -31.06. Let t = r - 2.16. Which is the fourth biggest value? (a) -4\/7 (b) t (c) -0.15 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18750 < 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.028, 87, 1, 4, 0.5, 7 in decreasing order.\nAnswer: 87, 7, 4, 1, 0.5, -0.028, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/6 - 233*d\/2 + 13180\/3.\nAnswer: (d - 659)*(d - 40)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/7 + 4024822*v\/7 + 16099320\/7.\nAnswer: -2*(v - 2012415)*(v + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 62795861 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3580 + 3649 - 7325 + 7*w - 2*w**2 to n*w**2 + r + g*w and give r.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -225*j + 2253. Let m be z(10). Let r(t) = t**3 - t**2 - 5*t + 1. Let g(l) = -1. Let x be 2\/10 + 22\/(-10). Let b(v) = x*g(v) + r(v). Calculate b(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 + n. Let c(o) = 13*o**2 - 19*o - 10. Let d(i) = -30*i**2 + 41*i + 22. Let a(x) = -11*c(x) - 5*d(x). Calculate a(f) - 3*k(f).\nAnswer: 4*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/2 - (134\/8 - 306\/(-1224)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (2\/2*-7)\/(-79 - -81) and 75\/26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18628 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -3*j + 108, -5*q + 2*j = 578 - 38. Let h = 160 + q. Suppose 0 = 5*c - h - 73. Solve 5*o - c = -5 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30915.\nAnswer: 3, 5, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-4580.\nAnswer: 1832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 245680.5mg to tonnes.\nAnswer: 0.0002456805","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53 is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.011 - 1.411. Let f = -0.4 + -2.6. Let p = -3 - f. Sort u, -30, p, -0.3.\nAnswer: -30, u, -0.3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -404 = -10*c - 324 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -0 - 4. Let j be (b - 10)*(-2)\/6. Let x = 0 + j. Let k(r) = r. Calculate k(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (247*n**3 + 524*n**3 - 24*n**3)*(-2*n**2 - 3*n**2 - 6*n**2).\nAnswer: -8217*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, b: 2, x: 8}. What is prob of picking 2 b?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 77, 555, 1355, 2489, 3969, 5807, 8015?\nAnswer: 10605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u - 29*u + 3460 = 0. Suppose -b + 137 = 2*f, u = 4*f - f - 5*b. What is the least common multiple of f and 18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t\/(t*t*t*t*t**(-2\/9)\/t*t*t*t))\/((t\/(t\/t**0))\/t*t)*(t\/((t**0*t)\/t))**(-2\/59))**(-1\/5))**(1\/60) assuming t is positive.\nAnswer: t**(506\/39825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9\/66*(12\/9 - 0). Which is the second biggest value? (a) y (b) -2\/7 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 39*m**3 - 25*m**2 - 76*m - 16. Let q(d) = 40*d**3 - 25*d**2 - 75*d - 15. Let j(r) = -4*q(r) + 5*x(r). Suppose j(z) = 0. What is z?\nAnswer: -1, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/15 and -57\/2.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oao when three letters picked without replacement from {m: 1, a: 2, o: 2, x: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 - 24. Let l = -8 - x. Is 112 - (l\/(-1) + 3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12 * 0.2264677.\nAnswer: 2.7176124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -187, -377, -567, -757, -947, -1137?\nAnswer: -1327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oaae when four letters picked without replacement from eafaaaaoaeaaaoafaa?\nAnswer: 11\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a milligram in micrograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 485298789*j*s**3 + 9976*j*s**2 - 274*j wrt s.\nAnswer: 2911792734*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (51\/12*2)\/((-495)\/(-990))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -6, -4, 142, 2, -21.\nAnswer: -21, -6, -4, 0, 2, 142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 987 and 84.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add -74340070 and -381.006.\nAnswer: -74340451.006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) - (-1*sqrt(84) + sqrt(84)))*4 - sqrt(84) - sqrt(84))\/sqrt(12).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 908999218 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*d + 16*d + 92. Find the common denominator of (d\/(-12))\/((-28)\/126) and (-2)\/4 - (-15 - 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119*d + 89*d + 121*d - 86*d + 334*d.\nAnswer: 577*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + w + 14 = 2*o, -5*w + 2 = -2*o. Let v = o + -7. Let c = v + 5. What is the lowest common multiple of c and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 12 - 25 + 13*l - 16*l + 16. Let p be m(0). Solve 0 = 2*x + 3 + 1, 0 = -p*d - x + 10 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -40 - -156. Let q = 515 + d. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-125*(-108)\/(-7200))\/((-3)\/18*1).\nAnswer: 45\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1178 (base 10) to base 6\nAnswer: -5242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 165129 to the nearest one thousand.\nAnswer: 165000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**3 + 24000920*s**2 + 48001825*s + 24000910.\nAnswer: 5*(s + 1)**2*(s + 4800182)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 2*s - 4, -4*c - 5*s - 6 - 4 = 0. Let u(x) = -14 - 2*x**2 + c*x + 8*x + 3*x**2 + 7*x. Let d be u(-15). Is -14 <= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -5*y**2 - 2*y - 1. Let w be 14\/(-18) + 4\/(-18). Determine h(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/34630 and 97\/200854?\nAnswer: 1004270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 104 - 0.03\nAnswer: 103.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**0*a\/(a\/a**15*a) assuming a is positive.\nAnswer: a**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3d96 + 2?\nAnswer: -3d94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*m - 17*m + 88 = 0. Let i = m - -25. Solve -3*w = -p + 19, 4*w - 1 + 9 = -i*p for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/9, -0.4, 2, 1, -93, -15.9?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/(-2))\/(9\/6). Suppose -2 = d*k - 12. Suppose k*s = 4*s + 22. Is 8 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 43165797?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2. Let y(v) be the third derivative of -19*v**5\/30 - 12*v**2. Determine y(x(w)).\nAnswer: -38*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/5)\/(38\/95). Suppose -3*t + 5*r = -12, -d*t + 5*t + 3*r + 12 = 0. Let g be 1*t*(-32)\/4. What is the greatest common factor of g and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.085 + 0.015. What is the third biggest value in -1\/2, 3, 0, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -573.3 - -568.3. What is the second biggest value in 1858, -2\/5, f, -3\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z**3 + 3*z**2 - 2*z - 4. Calculate n(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78556913 is divided by 842?\nAnswer: 839","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -59, -59, -73, -107, -167, -259?\nAnswer: -389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h**3 + 5. Let n(f) = 3*f**3 - 6. Let x(a) = 6*c(a) + 5*n(a). Factor x(g).\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of c**6\/180 - 7*c**4\/36 + 2*c**3\/3 - 6*c**2 + 15*c + 2. Let q(n) be the first derivative of x(n). Factor q(p).\nAnswer: 2*(p - 2)*(p - 1)*(p + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-j**2 + j**2 + 2*j**3)*(141137 + 70089 + 115657 + 115417 - 32797 + 145468) to l*j**2 + g + b*j + v*j**3 and give v.\nAnswer: 1109942","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/411 and 42\/28633.\nAnswer: 85899","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilogram in milligrams?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*u**3*x + 27742*u**2*x - 2*u*x**2 - 59564*x**2 wrt u.\nAnswer: 6*u**2*x + 55484*u*x - 2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1110 a factor of 134384233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = -11*j - 358, -2*j = 1359*o - 1354*o + 71 for j.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.295 in 2, 0.002, 4\/7, 0.22, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 177021 by -5.\nAnswer: -177021\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -56*l**3 - l**2 + 3*l + 3. Suppose -3*i - 16 = b, -4*i + i = -3*b + 24. Let w = i + 5. What are the prime factors of u(w)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**4 - 1623*g**3 + 218607*g**2 + 269103*g - 6609690.\nAnswer: 3*(g - 271)**2*(g - 5)*(g + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeee when four letters picked without replacement from eeeeeeeeee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 5*c = -0*c + 10, 0 = 5*y + 3*c - 138. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 159690993?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -90657.5 times -1\nAnswer: 90657.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 57618.48 weeks in microseconds?\nAnswer: 34847656704000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1958, 1953, 1872, 1715?\n\"Answer: -38*p**2 + 109*p + 1887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13 and 17173?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 2544757416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.193 - 1.19303847. What is x rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 6075?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3172.9999993765 + -3173. What is c rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -29*l**2 - 8 + 4*l**3 - 9*l - 8*l**3 - 1. Let r(g) = -g**3 - 7*g**2 - 2*g - 2. Let w(j) = -9*r(j) + 2*t(j). Find the third derivative of w(k) wrt k.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 1, -1.8, -5, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -880983660317959\/5297399650 + 41\/317843979. Let b = d - -166306. Find the common denominator of b and 27.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of -a**9\/7560 + a**7\/630 - a**4\/4 - 3*a. Let i(n) be the third derivative of b(n). Find the third derivative of i(q) wrt q.\nAnswer: -48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 14, i: 1}. What is prob of sequence gg?\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -3*f - 0*f, 3*w + 3*f - 9 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 163\/2640960 and 9\/5600.\nAnswer: 13204800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3081*a + 2498*a - 180*a - 823*a to the form h*a + o and give h.\nAnswer: 4576","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(108) + sqrt(3) + (sqrt(3) - (-2 + sqrt(108) - sqrt(3)))**2.\nAnswer: 3*sqrt(3) + 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1569\/7 or -225?\nAnswer: -1569\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 17058.231 months?\nAnswer: 1.42151925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*h - 2*h + 0*h)*(-2499329*h**3 - 4 + 2498009*h**3 + 2*h**2 + 2).\nAnswer: -3960*h**4 + 6*h**3 - 6*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of 5*o**4\/12 - 739*o. Let g = -6 + 8. Let x(f) = -3*f - 3*f + 6*f - 2*f**g. Calculate x(l(r)).\nAnswer: -50*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*z - z + 3*z)*(3 - 3 + z + (10 + 2 - 3)*(2 - 2 + z)) in the form c*z**2 + m + s*z and give c.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-18058)\/(-8) - 1\/(32\/8). Suppose -b = 44*x - 32045. List the prime factors of x.\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*z**3\/2 + 339*z**2\/4 + 165*z\/4 - 42 = 0. Calculate z.\nAnswer: -56, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of 2873*v**6\/6 - v**4\/2 + 4144*v**2 - 4615. What is the second derivative of u(d) wrt d?\nAnswer: 57460*d**3 - 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33123 or 231856\/7?\nAnswer: 231856\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2667, 8861, 19185, 33639?\n\"Answer: 2065*l**2 - l + 603","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 76, 0.23, 0.4 in increasing order.\nAnswer: 0.23, 0.4, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 94*h**3*k - 69415*h**3 + 3*h**2*k + 14*h**2 - 7384*h*k - 3*k wrt h.\nAnswer: 564*k - 416490","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a centimeter in micrometers?\nAnswer: 52500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 AM and 8:49 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 55163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1570100 and 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 10:24 AM?\nAnswer: 8:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 5:03 PM?\nAnswer: 4:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 67 + 70. Sort 11, -5, -2, z in decreasing order.\nAnswer: 11, z, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -10. Let j = 10 - o. Which is the closest to j? (a) -3 (b) 4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 4\/15 of a hour?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 0.2, 0, 40.7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 3\/2, 9, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s - 16. Let b(m) be the second derivative of m**3\/6 - 18*m - 2. What is b(n(z))?\nAnswer: -z - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -877442560\nAnswer: -877442556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 12*s = 11*s + 167, -2*q - 5*s = 161. Let h = 142 - 306. Let y = q - h. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 276 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(196)*2 + sqrt(196))*6)\/((sqrt(112) - sqrt(112)*-1) + sqrt(112) - sqrt(112)))\/((sqrt(144) - -6*sqrt(4)*-2)*-3).\nAnswer: sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 448610 is divided by 80.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 4083861?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a millisecond in microseconds?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25 - 17. What is the least common multiple of 4 and (-2)\/(-8) - (-126)\/i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 2*i. Suppose -2*u + 24 = f - i*u, f + u - 22 = 0. What is the lowest common multiple of 16 and f?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14523871 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 46033 and 957034.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 12*q**3 - 27*q**2 - 23*q + 7. Is y(11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r**2 - 32*r + 80. Let p be s(13). Calculate the least common multiple of 3 and -1*(-146)\/3 + p\/(-3).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 557?\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 3, 4, -8, -2, -3 in descending order.\nAnswer: 4, 3, -2, -3, -8, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 204 by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 5*k = -72, -5*k + 201 = 5*w - 159. Is 12 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7248.04 litres in millilitres?\nAnswer: 7248040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttnwt. What is prob of picking 1 n and 2 w?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/7)\/((b\/((b*b\/b**(4\/7))\/b))\/b))\/(b**2*b**12) assuming b is positive.\nAnswer: b**(-93\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (16\/12)\/(6\/9). Suppose -6 = -2*x, x + 5 = 2*a - 0*x. What is the third derivative of 2*d**a - 5*d**2 + 3*d**r + 4*d**2 wrt d?\nAnswer: 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5314d (base 16) to base 10.\nAnswer: -340301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6743, -6498, -6271, -6068, -5895, -5758, -5663, -5616?\nAnswer: -5623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in 4\/743, 7, -0.4, -2\/25?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-52 - -46) + 2 + -1 - -11.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4440 and 1200.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2926 and 1386?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 73\/(21681\/132)*(-3)\/24.\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 7. Let t = -152542 - -20288194\/133. Let c = 10\/19 - t. Put p, c, 0, 2 in decreasing order.\nAnswer: 2, 0, c, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -588 + 593. Let o(y) be the third derivative of 13*y**4\/24 - 11*y**3\/6 - 2*y**2. What are the prime factors of o(j)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 829629 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (36\/(-15))\/(2\/10). Let n be 1 - 3 - (r - 2). Suppose -n*u + 16*u = 0. Solve -3 + u = t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3102 - 3097. Solve 4*i - 11 = 5*f, -t*f - 4*i = -7*i + 12 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -254 + 256. Suppose -s*t = -245 + 81. Calculate the remainder when 737 is divided by t.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 5*u + 30 = 0. Let q(g) = 8*g**3 - 5*g**2 - 8*g + 5. Let t(c) = -9*c**3 + 6*c**2 + 9*c - 6. Let n(l) = u*q(l) - 5*t(l). Factor n(i).\nAnswer: -3*i*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2506, -3030, -3910, -5146, -6738, -8686?\nAnswer: -10990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(15\/171) + 41\/((-820)\/240).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 16\/7, -2, 16.2, 3?\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of 11*p**4\/6 - 649*p. Let a(n) = 17*n**2. Determine m(a(u)).\nAnswer: 6358*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 673076?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + 225324044?\nAnswer: 225324043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 27. Let b = y - -23. Put -5, b, 2 in ascending order.\nAnswer: -5, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -2027319\nAnswer: -405463.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30.40365 millennia to decades.\nAnswer: 3040.365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in eight thirds of a hour?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 625 by -6.\nAnswer: -625\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-24)\/18)\/(-1) + 2204\/12 is divided by 52?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 620171 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 3*m + 2, -8*m = -3*a - 7*m + 4. Solve a*r = 3*t - 5, 0*r + t - 11 = -4*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/((w*w*w*w\/((w*w*w**(-3\/4))\/w))\/w*w))**(3\/19)*w**(-11)\/(w\/w**(-5\/6)))**(1\/5) assuming w is positive.\nAnswer: w**(-2989\/1140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 2. What is the tens digit of -2 + 0 - 24\/x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 19*n**4 + 5*n**2 - 6*n - 24. Let o(m) = -19*m**4 - 4*m**2 + 5*m + 23. Let c(l) = -5*o(l) - 4*z(l). Find the second derivative of c(q) wrt q.\nAnswer: 228*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1 and (6 + 444)\/10*3.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 630 + 1180. Does 46 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of -1\/40*j**6 - 1\/20*j**5 + 0*j + 0 + j**2 + 0*j**4 + 0*j**3. Find the third derivative of k(z) wrt z.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 405936438?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/358806 and -181\/7176120.\nAnswer: 7176120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15167 = -89*h + 60*h. Let y = 526 - h. Factor -3\/2*i**4 + 0*i**y + 9\/2*i**2 - 3*i + 0.\nAnswer: -3*i*(i - 1)**2*(i + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*u + 0*u + 200 = 0. What is the remainder when 46\/3*(-51)\/(-34) is divided by u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25*45\/13500*1.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 - 9*u**2 - 12. Give t(-9).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 - (72 - (29 - -34) - (13 + 0 + 0))?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 329, 418, 519, 638, 781, 954, 1163?\nAnswer: 1414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 2)*(268*f**2 - 90*f**3 - 268*f**2) + (-f**3 + 2*f**3 - 3*f**3)*(-6 + 2 + 1).\nAnswer: 96*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fourty-two fifths of a centimeter?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -119, -176, -301, -518, -851, -1324?\n\"Answer: -4*o**3 - 10*o**2 + o - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 + 5*j**2 + 6*j + 3. Calculate q(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yv when two letters picked without replacement from {v: 1, b: 3, y: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence magh when four letters picked without replacement from ghhggmggamghmg?\nAnswer: 3\/1144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 8*i - 8. What is m in 0*m - 21\/5*m**3 + 0 + 24\/5*m**4 + 3\/5*m**i + 48\/5*m**5 = 0?\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 21 (b) -0.26 (c) -28\/11 (d) -4 (e) 1 (f) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 406 and 336168.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 AM and 9:57 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 701274?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1153.9 - 1156.9. Let u = 0 - 4. Let k = -2 - -2.4. Which is the smallest value? (a) k (b) i (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 7, 5, -2 in descending order.\nAnswer: 7, 5, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 863734?\nAnswer: 2, 431867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s + 4. Let b = 1 - 22. Let h = b + 17. Let d(u) be the second derivative of 5*u**3\/6 + 11*u**2\/2 + u. Give h*d(c) + 11*i(c).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 2*v - 72 = 0. Calculate the remainder when 70 is divided by v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 418 + -419. Does 4 divide 476 + r + (-7 - -13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2151 and 23318274.\nAnswer: 717","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7.4 - -7.2. What is the second biggest value in 2\/3, b, 5, 4\/23?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/8 + 283*w\/8 + 6279\/4.\nAnswer: -(w - 322)*(w + 39)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/740 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 3150*c - 19000. Give p(6).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -428.\nAnswer: 1\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1622 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, -14620, -2\/75, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-15 + 8 + 13)*(-2*g**2 + 2*g - 2*g) + 23*g**2 + 9*g**2 - 6*g**2 in the form z*g + s*g**2 + r and give s.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 72736879?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}